{"text":"Question: Suppose 4*w + 12 = 4*u, -4*u - 4*w + 7 = -5. Suppose -u*r - 17 = k, -2*r - 3*k - 27 = 3*r. Sort -1, 4, 5, r in descending order.\nAnswer: 5, 4, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {l: 11, c: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 12613428 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 46.5 + 0.3. Let s = m + -47. Which is the nearest to 0.3?  (a) 3  (b) 0  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*o**4 + 1545*o**3 - 49305*o**2 + 44695*o + 95550 = 0. What is o?\nAnswer: -1, 2, 35, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 3*n - 24 = -7*n, -4*y - 2*n = -22. Let m = -9\/19 + 155\/247. Let u = -3 + -2. What is the biggest value in m, y, u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -29*o - 139. Let u be z(-5). Suppose 0 = 3*f + 4*k - 7, -3*f - 3*k + 2 + 10 = 0. Find the second derivative of f*c - 34*c**5 + u*c + 39*c**5 wrt c.\nAnswer: 100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -114 - 83?\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -2*q - f, 0 = 4*q - 2*q - 5*f - 3. Suppose 4*x - 9 = 7. Suppose x*a - 7 = q. Calculate the remainder when 7 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 411*k + 4410 = 418*k + 4900 for k.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*f**3 + 2*f**3 + 0*f**3 + 0*f**3 - 2*f**3 + 0*f**3 + 2 - 2 - 3*f**3 + (f**2 - 5*f + 5*f)*(f - 1 + 1) to k*f**2 + c + q*f + l*f**3 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 70444\/7 + -10064. Let c = -0.03 + -0.17. What is the fourth smallest value in c, 0.3, 3\/26, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.075*-8.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9 + 13. Suppose 9*o - 15 = s*o. Suppose 2*x - 2*a - 10 = 3*x, 4*a = -5*x - 20. Solve o = -x*i + i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*w + 4*w = -24. Let u(g) = -3*g**3 + w*g**2 + 2*g**3 + 3*g**2 + 3*g + 7. List the prime factors of u(7).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -414.2163 rounded to 1 dp?\nAnswer: -414.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 5*w + 157. Let m be q(-31). Calculate the remainder when 125 is divided by m + -4 - (-205)\/5.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -231 (base 5) to base 8\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7 + -14. Let c = -4.3 - q. What is c rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f - 8. Let j be d(-9). Suppose -3*x - j = -4*x. Let k be 3*((-25)\/27 - -1). Which is bigger: x or k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 77763.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 115\/162 and -47\/936.\nAnswer: 8424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 3*d - 31 = 0, 0*d = -2*d + 4. Suppose n*a - a - 2*y = 178, -y - 43 = -a. Does 23 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*q**3 + 349*q**4 + 33*q**3 - 32*q**3 + (-4*q**2 + 3*q**2 + 2*q**2)*(q**2 - 3*q**2 + 0*q**2).\nAnswer: 347*q**4 - 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the first derivative of f**2 + 24*f - 5. Let q be m(-12). Solve -3*g + 2 + 1 = q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-6))\/((-10)\/150)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 19314 and 89076168.\nAnswer: 89076168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or -475?\nAnswer: -475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 46615\/18768 - 325\/138. What is the common denominator of -35\/64 and h?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54 = -3*p - 105. Let k = -45 - p. Let v(x) = -k*x + 17*x - 6*x - 2*x. Let h(s) = 21*s**2. Determine h(v(n)).\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 18709 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10685 and 10?\nAnswer: 21370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2681595 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 0.8, -15, -3\/2, 29.05 in decreasing order.\nAnswer: 29.05, 0.8, 0.3, -3\/2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 26417006 and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -20*t**3 + 77*t**2 + 155*t + 42. Let v(j) = -7*j**3 + 26*j**2 + 52*j + 14. Let i(c) = 6*r(c) - 17*v(c). What are the prime factors of i(22)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-170)\/68*(-12)\/(-25)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 17 or 134254\/7691?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9, 184, 531, 1050, 1741, 2604?\nAnswer: 3639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 - -9. Suppose 7*a + 20 = m*a. Let r = a - -58. Is 19 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 847088908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1*(-10 + 5 - -4). Solve 3*r = -16 + l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 204 + -11 - (7 - 0). Let u = 217 - p. Calculate the remainder when 242 is divided by u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -220 - -219.5. Let d = 0 + 2. Let o = d + -1.9. Which is the biggest value?  (a) g  (b) 4\/9  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 - 200 - (1 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 275 - 215. Calculate the greatest common factor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aiehmio. Give prob of sequence oii.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -58642, -234557, -527744, -938203, -1465934, -2110937?\n\"Answer: -58636*o**2 - 7*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*j - 4*a = -133 + 14, -5*j + 46 = -2*a + 23 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbdadccbwcddbb. Give prob of picking 1 d, 1 a, 1 w, and 1 c.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2974 is divided by 433.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**3 + 1415*p**2 + 1414*p.\nAnswer: p*(p + 1)*(p + 1414)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -340*j**2 + 19*j - 36. Let s(t) = 341*t**2 - 17*t + 30. Calculate -5*p(d) - 6*s(d).\nAnswer: -346*d**2 + 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fffqffzmmqfqffqff. Give prob of picking 1 z and 2 f.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11715 and 29605.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - (-20 - -42 - 16).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 54 - 60 = 0. Let g(h) = 55*h**2 + 55*h**2 + 5*h + 59*h**p - 170*h**2. Give g(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16 + (13 - 13) + -7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 - 44540035?\nAnswer: -44540041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and -835335.\nAnswer: -334134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 22 + 8*j + 36 - 56. Let m(z) = 8*z + 3. Calculate -3*m(i) + 4*w(i).\nAnswer: 8*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -20.1 - -2.1. Let n = i - -17.6. Let u = 13.4 + n. Sort 0, u, -0.1 in decreasing order.\nAnswer: u, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -36, 0, -5\/3 in increasing order.\nAnswer: -36, -5\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.4854853758 to 5 dps.\nAnswer: 0.48549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 25472 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:05 PM and 2:56 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from khbegeukh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 92747?\nAnswer: 163, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/33518 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1000*s**6 - 108*s**4 + 2*s**3 + s**2 + 400*s - 1040?\nAnswer: -120000*s**3 - 2592*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the second derivative of k**6\/120 + k**5\/20 - k**4\/48 - 2*k**3\/3 - 3*k**2\/2 + k + 113. Find j such that i(j) = 0.\nAnswer: -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 13*m - 593. Let i be f(45). Let t(y) = y**3 + 7*y**2 - 6*y + 13. Calculate t(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6278000 to the nearest 100000.\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 21*m + 420. Determine h(-22).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 + -11. Let l(t) = 2*t + 23. Let m(n) = -4*n - 33. Let u(x) = 4*l(x) + 3*m(x). Let a(w) = 9*w + 15. Calculate o*u(d) - 6*a(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2982.978t in milligrams?\nAnswer: 2982978000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1111011100 + -110?\nAnswer: -1111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - u - 103 = 0, -6*w = -4*w - 5*u - 32. Let m be 1 + 0 - (18\/w)\/2. What is the smallest value in -0.2, 5\/4, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.3199 + 5.3199. Which is the biggest value?  (a) j  (b) -2  (c) -53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 4*l + 28. Calculate a(-11).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*4*4\/(-56). Let a = -1928\/5 + 386. What is the nearest to a in 6\/13, -0.5, o?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -2, 5, 724, 2709, 4, -1 in decreasing order.\nAnswer: 2709, 724, 5, 4, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 29 + -23. Let t be (4\/(-3))\/(r\/9). Let y be 4*(-3 - 4\/t). Put y, 12, 2 in descending order.\nAnswer: 12, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -6 + (3 - 3 - -4). Let v be (z\/4 - 1)*2. Put v, 2, -5 in descending order.\nAnswer: 2, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -60 + 63. Solve -t*u + 1 - 7 = -3*b, -u - 3*b + 18 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**3 + 4*j**2 + 2*j - 7. Let q be g(4). Calculate the remainder when (q\/(-5)*5)\/((-2)\/122) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/((3\/2247)\/(-1)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.18, -0.2, 1\/5, -1 in descending order.\nAnswer: 1\/5, -0.18, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 7 + 3\/9*-21. Suppose -7*m + 9*m - 1700 = h. What are the prime factors of m?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 134063 is divided by 2390?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 538342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in fifty-three fifths of a kilometer?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 156*r**3*z**2 - 54*r**3*z + 874*r**2*y*z**2 + 6*r**2*y*z - 2*r**2*y - 2*y*z**2 + 3*y*z - 4 wrt z.\nAnswer: 312*r**3 + 1748*r**2*y - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-10)\/(-6) - 3\/(-9). Let f(b) be the first derivative of -9*b**r + 4 + 3*b**6 - 7 - 8. Find the second derivative of f(m) wrt m.\nAnswer: 360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.180362 millennia to centuries.\nAnswer: 61.80362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 566 is divided by 153.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -373251, -373255, -373261, -373269, -373279?\n\"Answer: -i**2 - i - 373249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2364596.5 rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**3 - 11*k**2 - 9*k - 19. Let v be b(-10). Let d = v + 44. Let w(x) = -2 - d*x - x**2 + 12*x - 2*x. Calculate w(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0180678ns in milliseconds?\nAnswer: 0.0000000180678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8511 by 5.\nAnswer: 8511\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 2 = -5*a - 22, 0 = p - 5*a - 17. Calculate the remainder when 11 is divided by (12\/p)\/(8\/28).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -24 * -0.1402.\nAnswer: 3.3648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2305513 millilitres in litres?\nAnswer: 0.0002305513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5 or -137?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -67.65 plus 0.0263?\nAnswer: -67.6237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 + 4. Let p(k) = k + 2. Let x(t) = -1. Let l(z) = -p(z) - 3*x(z). Calculate l(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 422.00000179 + -422. What is o rounded to 7 decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43 divided by -8460.\nAnswer: 43\/8460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 3366 divided by 1\nAnswer: 3366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w*w\/((w\/(w*(w**(1\/8)*w)\/w*w*w*w*w))\/w))\/w**13 assuming w is positive.\nAnswer: w**(-39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -3d897 (base 14) to base 2\nAnswer: -100101010000101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 258 divide 3585572802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 386.9494 decades?\nAnswer: 3869.494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 8 = b, 0 = x + b - 5*b + 12. Let u be (-6)\/(-4) - (-6)\/x. What is the first derivative of 3*h**u + 9*h - 9*h + 2 wrt h?\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 685\/7 - 4313\/42. Find the common denominator of g and 95\/1022.\nAnswer: 3066","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 26, -6378, 0.4, 5?\nAnswer: -6378","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34128 = 746*s - 35*s for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 257392 and 52368.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 divided by 1?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11 + -8. Suppose t*s + s + 56 = g, 5*s = 4*g - 169. Suppose 72 = 3*d + x + 4*x, -4*d - x = -79. Calculate the remainder when g is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12549457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 11 divided by 5700\nAnswer: 11\/5700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c + 5*c - 3*c)*(-3*c**3 - 3*c**3 + 5*c**3) - 4*c**4 + c**4 + c**4 + (6 - c - 6)*(0*c**2 - 2*c**3 + 0*c**2).\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of s**3*y - 2287*s**3 + 2492830*s**2*y wrt s?\nAnswer: 6*y - 13722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -7124, -6424, -5674, -4850, -3928, -2884?\n\"Answer: 4*y**3 + y**2 + 669*y - 7798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-225 + 1)\/14 - 15) + (-48)\/(-6)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33739 is divided by 4134?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Sort 14, 121, -2.\nAnswer: -2, 14, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1533 divided by -2725\nAnswer: 1533\/2725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*sqrt(126)*1)\/(sqrt(27)\/sqrt(3)*2))\/(4*-4*sqrt(14)\/sqrt(2)*6))**2.\nAnswer: 1\/4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (((-6)\/21)\/((-36)\/189))\/(2\/(-20))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve g - 4 = 9*m, -5*g + 7191*m = -4*g + 7196*m - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 69\/35 + -11\/7. Let k be (1\/(-2))\/(21\/(-28) + 0). Which is the nearest to k?  (a) 1\/8  (b) -1\/9  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 80, 127, 130, 77, -44?\n\"Answer: -2*p**3 - 10*p**2 + 91*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/((w\/((w\/(w*w\/w**(-4\/3)))\/w))\/w))**(-2\/99)\/((w**(-3\/11)\/w)\/(w\/(w*w**(-25)\/w))))**(-1\/21) assuming w is positive.\nAnswer: w**(-8114\/6237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6182846 is divided by 1205?\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 7775503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-3) - 1)\/(33\/99)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-27)\/(-6) - 3\/(-6). Let h(p) = p - 5. Let r be h(d). Let z(y) = y. What is z(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (504\/(-280))\/((-1947)\/(-590)*2\/(-3))\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = j. Suppose -h - 5 + 0 = j. Are h and -5 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + i = 2*i + 25, 25 = 2*s - 3*i. What is the closest to 1\/4 in s, -3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the second derivative of -7*u**5\/20 - u**4\/6 + 17*u**3\/6 - 2310*u**2 - 9*u + 29. What is the derivative of t(j) wrt j?\nAnswer: -21*j**2 - 4*j + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2366 and 5082?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*g*r**2*x - 6*g*r**2*z + 30*g*r*x*z - g*r*x - 3*g*x + 6*r**2*x*z wrt r?\nAnswer: 6*g*x - 12*g*z + 12*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*x**2 + x**2 + x**2 - 12*x**2.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 903*v = -5858 - 15814 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*q**4\/7 - 23384*q**3\/7 - 1835462*q**2\/7 - 7061304*q\/7 - 995400 = 0. Calculate q.\nAnswer: -11613, -75, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1241.1115*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 39 and 257946.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 x, and 2 n when four letters picked without replacement from {u: 7, s: 1, n: 3, x: 1}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 2*f**2 + 43*f - 36. Calculate b(-19).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -162?  (a) -4  (b) -0.1  (c) -3  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the third derivative of -t**4\/24 - 11*t**3\/6 + 5*t**2. Determine f(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j + 29*j = -17*j + 208. What is s in -j + 4\/3*s**2 - 8\/3*s = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eqrdedbnrrqed. What is prob of picking 1 e, 2 q, and 1 r?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.003855956 to 4 decimal places.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 21 - 17. Let o = 8 - r. Let q = o - 3. Which is the third biggest value?  (a) q  (b) 5  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 669548764?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 288.94 - 289. Let w = 22.5 - 24. Are u and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m + 119 = 4*y, 5*y = 27142*m - 27139*m + 136 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -31*j. Let c(b) = 96*b**2. What is c(p(f))?\nAnswer: 92256*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -13385 - 823?\nAnswer: -13ba8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o + 5 = -27. Put -3, 5, -5, o in decreasing order.\nAnswer: 5, o, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*w, -666 = 2*j - 3*j + 2*w. Calculate the lowest common multiple of 11 and j.\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tvwt when four letters picked without replacement from {t: 4, w: 1, v: 9}.\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 3, m: 15}. Give prob of sequence bbbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -3 + (-10)\/(-4)*-2. Let s = 9 + b. Let l(v) = -5*v**2 + 61 - 62 + 2*v - v**2. Let w(r) = -r**2. Determine s*l(i) - 4*w(i).\nAnswer: -2*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*g - 3 + 1 + 2 - g**3 + 2 - 20*g + g**2 in the form p*g + a + f*g**2 + o*g**3 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 61 - 38. Let x = 24 - l. Suppose m = 4*w + 19, 0*w - 3*m - 3 = 3*w. Which is the third biggest value?  (a) -2  (b) x  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1392*o - 400*o = -70*o - 61992 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2083\/3 - -704. What is the common denominator of y and (-322)\/(-24) + 3\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*j - 14 + 5 = 0. Is 2\/((-1465)\/1475 - j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.37 + 0.5. Let h = z + -5.13. Let p = 1.827 - 0.827. What is the third smallest value in 4, p, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -20*y - 8489 + 16971 - 8490. Let i(k) = -8*k - 3. Calculate 12*i(a) - 5*s(a).\nAnswer: 4*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -86 + -13 + 68 + -24 - (-2 + -6)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/11?  (a) 2\/17  (b) -2\/5  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -281.16 - -276. Let u = i - -5.06. Let a = 4 + -3. What is the closest to a in 4, -0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 - 0 - ((7 - (-7 + 7)) + 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/(12\/(-5) - -2). Suppose -57 + 48 = -3*g. Sort -3, g, 4, a.\nAnswer: -3, g, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 170\/10 + 0\/(-2). Suppose 347 = 2*k - u. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**5 + h**4 - h**3 - h. Let a(k) = 25*k**5 - 30*k**4 + 30*k**3 + 35*k. Let v(z) = a(z) + 30*b(z). Find the second derivative of v(t) wrt t.\nAnswer: -100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -201, -285, -373, -459, -537, -601?\nAnswer: -645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*f**2\/13 - 660*f\/13 - 54450\/13 = 0. What is f?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -329*w = 382*w - 48414123. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -274\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-76)\/(-20) - (10 - 459\/45). Solve 0 = -2*j + 5*b - 23, 2*b = -j + 3*b - h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -126 = -665*y + 679*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -5  (b) 1\/2  (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(2) + sqrt(2)*-1 + -1 - sqrt(8)\/sqrt(4)*6)**2 + 1*sqrt(242)*-2 + 0.\nAnswer: -146 - 46*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, r: 1, b: 1, x: 2, j: 2}. What is prob of sequence xbrx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and -449.\nAnswer: 2245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*j - 7 - 6 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*q - 5*q + 110. Let a = 9 - 4. What is the greatest common divisor of q and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -2*k**4\/3 + 21064*k**3\/3 + 295352*k**2\/3 - 674944*k\/3 = 0.\nAnswer: -16, 0, 2, 10546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11*s**3 + 5*s - 5*s + (5 - 7 + s + 0)*(s**2 - 118 + 118) + (s**2 - 3*s**2 + 3*s**2)*(-s + 0 + 0).\nAnswer: 11*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/7, 1, -451898, 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 + 2. What is the greatest common factor of w and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the second derivative of 0*t**3 + 0*t**2 + 0 + 1\/3*t**4 - 2*t - 2\/21*t**7 + 0*t**5 + 0*t**6. Find the third derivative of f(u) wrt u.\nAnswer: -240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z**5 - 6*z**4 - 9*z**3 + 12*z**2 + 12*z = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16967 and 1433265?\nAnswer: 27232035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(450)\/(sqrt(81) - sqrt(9)))\/((sqrt(90) - sqrt(10))*-4))**2.\nAnswer: 5\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 4 + 2166*g**2 + 2542*g**2.\nAnswer: 4708*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -2696, -3, -6, 4, 19, -2 in decreasing order.\nAnswer: 19, 4, -2, -3, -6, -2696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ninety-one quarters of a minute in seconds?\nAnswer: 1365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 581635 is divided by 291?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**2 + 7*v - 18. Suppose -5*s = 57 - 7. What is the smallest common multiple of l(s) and 7?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -889*t - 313*t - 9171 = 5*t - 188*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -518 = -4*j - 182. Suppose 0 = -3*p + 6 + j. Calculate the common denominator of 55\/8 and (-142)\/10*p\/84.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-40)\/6)\/((11970\/84)\/(-57))*114\/8.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5766*m + 5636*m = 189 + 444 - 113 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2776551*k**3 - 1001712*k**2 wrt k.\nAnswer: -16659306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes after 5:27 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3a9 (base 15) in base 6?\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**2 + 8*c - 3. Let i(g) = g**2 + 9*g. Let j be i(-8). Let z be y(j). Let p(d) = 8*d**2 - 3*d + 2. Is p(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.005151589 to 6 dps.\nAnswer: -0.005152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -231*n + 18. Let f(y) = 40*y - 3. What is 34*f(d) + 6*m(d)?\nAnswer: -26*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/(-4)*(-1 + 13). Let m be (-3 + 30\/9)*v. Put 4, m, -2 in increasing order.\nAnswer: m, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8067.128 nanometers in centimeters?\nAnswer: 0.0008067128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + z - 9 - 16 = 0, 5*x - 30 = 4*z. Let t be ((-8)\/x)\/(6\/15). Let p(b) = 2*b**2 + 2. Calculate the least common multiple of p(t) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -701 + 698. Let n(j) = -j**3 - j**2 + 1. Let w(a) = 4*a**3 + a**2 - 3. Give k*n(s) - w(s).\nAnswer: -s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 1 z when three letters picked without replacement from {r: 2, m: 1, z: 4, h: 2, e: 2, i: 9}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1700 and 136?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the first derivative of -10*y**6\/3 + 6*y**5\/5 + 2*y**3 + 5151*y**2\/2 - 3524. Find the second derivative of n(p) wrt p.\nAnswer: -400*p**3 + 72*p**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((z*z*((z\/z**(-9))\/z*z)\/z*z)\/z)\/z)\/z*z*z**(13\/3))\/(z\/(z\/(z\/(z*z*z\/(z*z**(1\/13))))))**(3\/4))**12 assuming z is positive.\nAnswer: z**(2344\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -2 - 10*r**2 + 20*r**2 + 10*r - 3 - 9*r**2. Calculate i(-8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*o**2 - 15*o**2 + 358 - 14*o**2 - 388 + 48*o**2.\nAnswer: o**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -196410 to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**2 - 1. Let a(p) = -8*p**2 + 2*p - 7. Let f be -8*(-4)\/8 - -1. What is f*t(s) - a(s)?\nAnswer: 3*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55 = 3*l - 8*s, 5*s + 19 + 31 = 5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 70594042 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -15, -33, -51?\n\"Answer: -18*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -34 + 15. Let w = -17 - b. Differentiate 11 + 3 - w*n - 5 + 0 with respect to n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 117 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 10*t**3 + 45*t**2 + 35*t - 30.\nAnswer: 5*(t + 2)*(t + 3)*(2*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -89, 0, 243, 718, 1503, 2676?\nAnswer: 4315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.005, 2\/7, 201, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -116155543 by 1147.\nAnswer: -101269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -385770 - -385768. Let j = -0.1 - 0.1. Let k = j + 0.3. Which is the smallest value?  (a) z  (b) k  (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 597866862?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 675355 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -67 - 3619\nAnswer: -3686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 116 a factor of 3244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 0 - -2 - (-18 + 18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 67280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3.313 - 3.113. Let n = 10 - -17. Let h = -36 - n. Is b != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -t**3\/2 - 1787*t**2\/2 - 260479*t\/2 - 258693\/2 = 0.\nAnswer: -1627, -159, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 33049739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4, 13, 34, 73, 136, 229, 358, 529?\nAnswer: 748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -677*m + b - 25 = -682*m, m + 2*b - 5 = 0. Let d(n) = 2*n**3 - 9*n**2 - 3*n + 6. Determine d(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1972525 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -15165 + 21779. What are the prime factors of q?\nAnswer: 2, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 11\/(5 + 252\/(-51)). Suppose 0 = w + 5*h - x, 231 = w - 3*h + 28. Calculate the remainder when w is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (34 - 4)\/6 + 2*(-234)\/84\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21 + 2 - 1 - (-16 - 15 - -29).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 638371828249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9550 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:41 AM and 6:43 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/3)\/(1\/(3\/((-99)\/(-55))))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 22\/(-4)*54\/(-99) + 835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -7*((-139)\/7 + 1). Suppose -4*m - 8*c = -7*c - 87, 3*m = 3*c + 69. What is the highest common divisor of m and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9969 is divided by 435?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 31813288?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7688633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29452*d**2 + 5*d**3 - 29449*d**2 + 58901*d**2.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3\/4  (b) 0.5  (c) -613742  (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1497 is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/(-525)*-28*6?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**2 + 10*g + 1. What is the least common multiple of 24 and p(-11)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 - 9. What is the common denominator of ((-133)\/14)\/(o - -1) and (6\/64)\/(1\/46)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 216.22 + -187.6. Let c = m + -215.32. Let a = 201 + c. What is a rounded to 0 dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(2\/3))**(-1\/13)\/(l**1)**(-22) assuming l is positive.\nAnswer: l**(856\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 18315 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 3994+-300076.301\nAnswer: -296082.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 15374\/(-16)*(-2)\/(-896). Let d = -2242 + 1147905\/512. Let o = q + d. Calculate the common denominator of o and 3\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2942 is divided by 92.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 4, 122\/413, 2 in decreasing order.\nAnswer: 4, 2, 122\/413, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 47 - 29. Let h be (68\/(-12))\/((-2)\/g). Let o(b) = b**2 - b - 8. Let u be o(-6). What is the highest common divisor of h and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(7) + (sqrt(343) - (0 + sqrt(343))) + sqrt(21)\/sqrt(300) + sqrt(7).\nAnswer: 21*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 + (3 - -2 - ((-146173 - -12) + 9)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -a0 (base 14) to base 11\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -4.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/5320 and -8\/4655.\nAnswer: 37240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 4854635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -22211 (base 3) in base 6?\nAnswer: -1034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3691 - 9*z**2 + 3691.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17696.\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*p - 122 - 206 = 5*w, -4325 + 4631 = -5*p + 4*w for p.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 2\/3, 2, -2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -45*c**2 - 9*c - 3. Let d(l) = 22*l**2 + 4*l + 2. Let m(v) = 2*b(v) + 5*d(v). Let a be m(-2). What is the highest common factor of a and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 650986?\nAnswer: 2, 7, 46499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1470134.70000056 - -1470135. Let l = 0.3 - d. What is l rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 328260189?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**3 + 4*s**2 - 9*s + 9. Give w(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 647189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 divided by 12?\nAnswer: 97\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 4*s**2 + 0*s + s**3 + 3 - s - 4 - 1. Suppose -5*b - 3*y - 9 = 7, 2*b + 4*y + 12 = 0. Let x be k(b). Solve f + x = -f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1833703, 1833700, 1833697, 1833694, 1833691, 1833688?\nAnswer: 1833685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -12460000 to the nearest 100000.\nAnswer: -12500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**2 - 5*k - 20. Let p be c(9). Let w be 0*(-4)\/p + 2. Differentiate -5 - 18*b**w + 17*b**2 + 2 wrt b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1868126 + 22500349\/12. Let t = f - 7015. Let h = t - -320\/3. Does -5 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -20901.01 - -20901. Which is the third smallest value?  (a) 3\/14  (b) l  (c) -0.002\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r + 163 + 6179. Suppose r = 4*i + 246. Suppose -3*p = 3*q - 468, -3*p + q = 5*q - i. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12.86248km to meters.\nAnswer: 12862.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*c - 3*l = 7*c - 0*c + 34, 4*l + 19 = -13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 + 5 = -2*j + 4*r, 2*r = -3*j - 34 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand f**4 - f**3 + f**3 + (1 + 5 - 4)*(-2*f**4 - 2*f**2 + 2*f**2) + 0*f**2 - f**4 + 0*f**2 + 3*f - 3*f - 14*f**4 + (4*f**3 - 16*f**3 - 6*f**3)*(0 + 2*f + 0).\nAnswer: -54*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 16*s + 17*s - 29 = 0, -w + 3*s = 7. Let d be 10\/3*(-6)\/(-4). Find the second derivative of -x**5 + 9*x**5 - 3*x - 4*x**d + 2*x**w wrt x.\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000020365 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2234586687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-30 - 0) + (30 - (36 + -16))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -73, -70, -65, -58, -49?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -5*t, -7*t = 5*i - 5*t - 2255. Let s = i + -260. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 124 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -36302 not equal to -36301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -3*j**3 - 31*j**2 + 122*j - 6. Give r(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 36765375001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 293064953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/10 in 0.125, -1\/7, -0.3, 0.5?\nAnswer: 0.125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 2030 = 4*x, 0 = -x - x + 3*p + 1022. List the prime factors of x.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 5 + -1 - 11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -866, -4, 0.\nAnswer: -866, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -29*h + 16. Let l be n(3). Let b = -63 - l. Suppose b*f + 246 = 10*f. Is 41 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 97*j + 8*j**2 + 8*j**2 - 18*j**2 + 64*j to the form o + p*j**2 + w*j and give w.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**3 - 5*x**2 - 2*x + 5. Let w be n(5). Let y = -1.3 + 0.3. Let l = 0.5 + y. What is the closest to -1 in w, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26962 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 79352 and 2976.\nAnswer: 29518944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 65 bigger than 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -813, -783, -719, -609, -441, -203, 117?\n\"Answer: 2*r**3 + 5*r**2 + r - 821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -114, -117, -122, -129, -138, -149, -162?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2 - -1)\/(2\/(-220)*-6). Suppose 0 = -11*o - t + 330. Calculate the highest common divisor of o and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 4*b - 41 = 0. Let o = b + -38. Let z = 7 - 5. Solve 3*v + 0*j + o*j = -9, -z*v = 5*j + 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -759 + 758. Let u(j) = 50*j - 1. What is u(o)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 140 = 125. Solve -y*l = 5*d - 2, -3*d + 5*l - 5 = 21 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eat when three letters picked without replacement from {m: 2, s: 4, e: 7, t: 2, a: 3}?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 193312476 divided by -80346.\nAnswer: -2406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-567628*s + 567628*s - 1445 + 2*s**2)*(-2*s + 0*s + 4*s) to the form w*s**2 + x*s + h + a*s**3 and give x.\nAnswer: -2890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:59 PM and 4:12 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l - 53 = -5*s - 4*l, -5*s + 55 = -5*l. Suppose 0*d = d + s. Let n = d - -14. Solve 0 = -4*f - 5*p + n, f - p - 5 = -4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2 - -3)\/(2\/12). Let d(i) = -i**3 + 6*i**2 + 6. Suppose 5*v = v + 2*j + 64, j - 76 = -4*v. What is the lowest common multiple of d(f) and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a**2\/5 - 529263632*a\/5 - 35014999019728928\/5 = 0. Calculate a.\nAnswer: -132315908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**2 + 17*z + 8. Calculate d(15).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 35 = 3*y. Suppose w = 3*d + 1, 5*w = y*d + 6*w + 15. Let z be (1\/3)\/(d\/(-36)). Solve 21 - z = 3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**3 + 9*q**2 - 6*q - 5. Suppose 22 = 2*w + 5*n, -3*w + 26 = 4*n - 0*n. What is the remainder when x(w) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 4 + sqrt(7) + 0.\nAnswer: sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 - 5. Let x be (-44 - 9850\/(-225))\/((-7)\/9). Which is the nearest to -3?  (a) v  (b) 12  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 3\/7  (b) 3.2  (c) 0  (d) 26  (e) 0.5  (f) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the second derivative of -y**6\/105 + y**5\/10 - 5*y**4\/14 + 3*y**3\/7 - 12*y + 5. Factor k(c).\nAnswer: -2*c*(c - 3)**2*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 = -3*j + 12. Let c = -12 + j. Let h(r) = r**3 + 8*r**2 + 7*r + 10. Calculate the remainder when h(-7) is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6028736 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -5*k + 720, 2*k = 12*u - 11*u + 288. Is 24 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 9*g + 2*g + 1 + 6*g + 0.\nAnswer: 17*g + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -2*h + 12. Suppose 0 = -2*d + h - 0. Let j(q) = 6*q - d + 3*q - 7*q. What is j(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) -6\/5  (c) 2\/3  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5536 + 42*h**2 - 5536 + (3 - 4 + 0)*(2*h + 0*h - 3*h)*(-2*h + 1 - 1).\nAnswer: 40*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 968.3 * 5.\nAnswer: 4841.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 3, -2 in increasing order.\nAnswer: -2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*y**3 + 25*y**3 + 1230 - 2463 + 1233 - 2*y**2 + 9*y as f + p*y + k*y**3 + j*y**2 and give k.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2, 33, 102, 223, 414, 693, 1078?\nAnswer: 1587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.3, 15432, -213, -19?\nAnswer: -213","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5347 - 5102. Solve -315 = -10*a - t for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*w**5 + 110*w**4 + 240*w**3.\nAnswer: -5*w**3*(w - 24)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7010 and 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*n - w + 22, -11*n + 523 = 2*w + 629 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (-2 - (-56)\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 4*q - 143 - 69, -3*f = 4*q - 140. Calculate the greatest common factor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/2 of a decade in years?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 q, 1 z, and 1 u when four letters picked without replacement from {u: 1, z: 9, q: 4, l: 1}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from epeeeppe. What is prob of picking 4 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m**3 - 389*m**2 - 11102*m - 1405. Determine y(-358).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 28649100 to the nearest 100000.\nAnswer: 28600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 204, 383, 536, 657, 740, 779, 768?\n\"Answer: -i**3 - 7*i**2 + 207*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the third derivative of 5\/6*w**3 + 1\/6*w**4 + 0 + 1\/15*w**5 - 15*w**2 + 0*w. Differentiate y(j) with respect to j.\nAnswer: 8*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 484 or 5\/8?\nAnswer: 484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**2\/2 - 1755*f\/2 + 4400.\nAnswer: -(f - 5)*(f + 1760)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 11\/4 - (-42)\/(-784)*14. Let m(h) be the second derivative of 0*h**t + 1\/3*h**3 + 6*h + 0. Let s(y) = 40*y. Give m(s(i)).\nAnswer: 80*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1302 - -141. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 76263398 and 20?\nAnswer: 762633980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - (42 - (-38 + 55)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 r when two letters picked without replacement from {i: 1, r: 1, y: 1, u: 1, m: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4345 = -p - k, 9*k = -3*p + 4*k + 13031. What is the common denominator of 0 - -3*133\/p and 40\/21?\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2195 by -439.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add -15933322 and -8112.8287.\nAnswer: -15941434.8287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -28*d**2 - 501*d + 575. Let h(j) = -5*j**2 + 4*j. Let x(a) = 6*h(a) - z(a). Find the first derivative of x(s) wrt s.\nAnswer: -4*s + 525","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*w = -118*w + 336. Solve v = -5, w*v = -q - 38 + 17 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 51183 + 70444. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 60909 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -196941\/5 or -39387?\nAnswer: -39387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p**2 + 4*p**2 - 2*p**2)*(-4 + 4 + 5*p**2 + (-2*p - 3*p + 3*p)*(-1 + 1 + 2*p) + (-2*p**2 - p**2 - p**2)*(-9 + 7 + 26)).\nAnswer: -190*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.04 + -0.04. What is the closest to -0.1 in 1, s, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 21454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 6072514103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -6  (b) -7  (c) 4  (d) -3\/2  (e) 25\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12628 is divided by 1402.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/56 and 23\/192?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2886916141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9760345 is divided by 195.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -288, -227, -174, -129?\n\"Answer: -4*q**2 + 73*q - 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 18 + -17.9352. Let h = z - 0.041. Round h to 3 decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 1396*y + 19536. Calculate h(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes before 1:48 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 46326 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2845559?\nAnswer: 37, 76907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 2280 = -12*v. Let q be 1\/(-2) - v\/(-32)*-2. Is 2 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -169 - -296. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 2 and -60552.9?\nAnswer: 60554.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 243*y - 90. Give i(4).\nAnswer: 882","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7524 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6\/(-16) + 21976\/64?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 2*p**2 + 12*p - 45. Give u(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 498, 1017, 1536?\nAnswer: 2055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 - 9. Let h = p + 5. Solve h*w - x = 5 + 10, 2*w + 2*x = 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 1755613\nAnswer: -2\/1755613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.895443422 to 3 dps.\nAnswer: 0.895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12297?\nAnswer: 3, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 44690681713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -32 - -53. Is b a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b**2\/4 + 18873*b - 356190129 = 0. What is b?\nAnswer: 37746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -30507.15931004 take away 0.3?\nAnswer: -30507.45931004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*o + 3*o + 21. Let z(r) = r**2 - 8*r + 8. Let k be z(o). Suppose -4*q + q = 9. Which is the closest to k?  (a) -1\/2  (b) q  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9531745?\nAnswer: 5, 59, 79, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 684603 and 1161?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -9b947 (base 13) to base 10\nAnswer: -282796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 8.10055 meters?\nAnswer: 8100.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-35)\/((-525)\/6)*-35.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3067 divided by 6719?\nAnswer: 3067\/6719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -946, -5026, -14142, -30190, -55066?\n\"Answer: -316*z**3 - 622*z**2 - 2*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the first derivative of -2*f**3\/27 + 4*f**2\/9 + 8*f\/3 - 34. Suppose c(d) = 0. Calculate d.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 3 + 3)*(-3 + 1 + 0)*(-1152*r - 1167*r - 247*r - 1403*r - 744*r) in the form s + o*r and give o.\nAnswer: -9426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 + 33*r**2 + 40*r + 1366. What is k(-33)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -4*j - 8, -3*j - j = -l + 8. Factor l + 1\/2*v**2 - 5\/4*v**3 + 0*v - 7\/4*v**4.\nAnswer: -v**2*(v + 1)*(7*v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 19560000 to the nearest 100000.\nAnswer: 19600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19821231*s**2 + 9910624*s**2 + 9910616*s**2.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r**3\/7 + 3976*r**2 - 4*r\/7 - 3976 = 0. What is r?\nAnswer: -6958, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes before 5:03 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 427276*d**2 + 427407*d**2 - 854681*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -16254, -16255, -16256, -16257, -16258?\n\"Answer: -k - 16253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**3 - 4*j**2 - j - 2. Suppose -216 = -3*l + 540. Let n = -240 + l. Calculate the lowest common multiple of g(-4) and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 9*g**2*l**3 - 2*g**2*l - 89*g**2 + 2*l**4 with respect to l.\nAnswer: 27*g**2*l**2 - 2*g**2 + 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27189?\nAnswer: 3, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0004995262 to seven dps.\nAnswer: -0.0004995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**2 + 1. Let g = 1 + 2. Let d(l) = 6 - 7*l**2 - 9*l**2 + 9*l + 4*l**2 - g*l. Let t(s) = -21*c(s) + 3*d(s). Factor t(r).\nAnswer: -3*(r - 1)*(5*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55 = 5*y - 0*y. Let u = 27 - y. Let a = -9 + u. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9 + 18. Let j = c + -3. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27*x + 132963*x**3 - 132962*x**3 - 48*x.\nAnswer: x**3 - 75*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:31 AM and 6:53 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + 1 + (-19 - -37).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.16*6.1\nAnswer: 0.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/9, -8, 40, 4, -3, -0.2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/4 and 3020\/(-88) + (-4)\/22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - -1. Differentiate -2 + 1 - d*r**3 + 4 wrt r.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 9\/(-3) + (-6)\/(-1). Let l(h) = -5*h**3 - 8*h**3 + 15 - 8*h**d - 10*h**2 - h + 20*h**3. What is the remainder when l(-11) is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.3, 8, 5, -1.01?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**8\/(((x*x*x\/((x*x**(-2))\/x)*x)\/x)\/x))**(2\/95) assuming x is positive.\nAnswer: x**(8\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, h: 2, n: 1, o: 2, d: 2, m: 1}. Give prob of picking 1 d and 1 o.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2 + 2*i + 400. Calculate b(21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.55 and -1352294.87.\nAnswer: -1352294.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.4 + -0.2. Let p = -0.3 - u. Let t = -0.4 - -0.7. What is the third biggest value in t, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4.6933075786462 - -0.04.\nAnswer: -4.6533075786462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 5*c + 9 = 0, -4*d - d + 55 = 5*c. Suppose -4*o + 9*o = 30. Calculate the least common multiple of d and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(1 + sqrt(700)))**2 - -3*((sqrt(7) - sqrt(21)\/sqrt(3) - sqrt(7)) + 5).\nAnswer: 177*sqrt(7) + 6324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 224*u**2 + 45692*u - 816.\nAnswer: 4*(u + 204)*(56*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46 = 4*r + 26 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/6)\/((-55002)\/(-2136)).\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*c - 7*c + 1792. Calculate the remainder when c is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -8795 + 2282?\nAnswer: -6513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**4\/5 + 4*m**3 + 16*m**2\/5 - 4*m - 18\/5.\nAnswer: 2*(m - 1)*(m + 1)**2*(m + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -2827, -5649, -8467, -11281, -14091, -16897?\n\"Answer: 2*o**2 - 2828*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-552)\/299)\/12 - 4\/(104\/321)\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2 - -3)\/(3\/(-18)). Let r be ((-1)\/(-2))\/(l\/(-36)). Let k be (r\/2)\/(9\/204). What is k rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 199219 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the third derivative of 0 + 1\/24*z**4 + 1\/240*z**6 + 1\/48*z**5 + 0*z + 3*z**2 - 1\/3*z**3. Let j(f) be the first derivative of t(f). Factor j(u).\nAnswer: (u + 1)*(3*u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -5*t**2 - t + 1. What is y(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 63490865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-24*c - 344 - 16*c + 343)*(-4*c**2 - 8 + 8) to the form j*c**2 + z + t*c + d*c**3 and give d.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*((-1*sqrt(304) - sqrt(304)) + 5 + sqrt(304))*5*-6 + -5)**2.\nAnswer: -1303200*sqrt(19) + 10668625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 4*s**3 - 233*s**2 + 80*s - 1283. Calculate t(58).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 4*n = -7*n - 1, 3*n - 7 = -h. Suppose -1 = -h*k + 23. Let a = -4 + k. Sort -1\/9, a, -0.4 in decreasing order.\nAnswer: a, -1\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**2 + 23*b - 18. Let s be v(22). Suppose s*t - 2*w = 0, -t + 0*w + 3*w = 0. What is the first derivative of 15*m**2 - 2*m**2 - 14 + t wrt m?\nAnswer: 26*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -2\/3, -3, -4, 38985 in decreasing order.\nAnswer: 38985, 0.1, -2\/3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v + 19 - 4. Is -5 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1580 and 1960?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 128 and 28916208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 5464\/7 - (-132)\/(-231). What is the highest common divisor of 36 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2140 (base 14) to base 16\nAnswer: 166c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -31 - -39. Let h(w) = 16*w + 13. Let b be h(u). Suppose 0 = 7*c - 4*c - b. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 - 245?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m*m**2)*m*m**(-4\/5))\/(((((m*m*m\/m**(-4)*m)\/m)\/m)\/m)\/m**5))\/(m**(-2\/11)\/(m*m**7\/m*m))**(1\/5) assuming m is positive.\nAnswer: m**(-9\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -32.07 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3400281 - -53?\nAnswer: -3400228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 33009?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 9*t = 70. Calculate the lowest common multiple of 6 and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -153, -242, -329, -414, -497, -578?\nAnswer: -657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30429 is divided by 30418?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -30*x**2 + 2*x. Let a be k(-5). Let f = -38 - a. Is (f\/3)\/(12\/18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -64*d**3*r**4 + 9787*d**3*r**3 - 33*d**3*r**2 - 3*d*r**2 - 1061 wrt r.\nAnswer: -1536*d**3*r + 58722*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are -342811 and -342811 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -56811132 by 189.\nAnswer: -300588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ssssshgsssgssssss?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*c**3*n**2 - 118*c**2 - 29*c*n + n**2 wrt c.\nAnswer: -12*c*n**2 - 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l + 9*l + 3*g = g - 25, -2*g - 669 = -3*l - 684 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (-5 - -5 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-20)\/(-8) + (-24)\/(-36))*6. Solve -16 = -q - k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1\/4 - 5\/36. Which is the second biggest value?  (a) 1\/4  (b) f  (c) -9  (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-106)\/4*16\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1238*v**3*y + 13562*v**3 - 6*v**2*y + 2*v**2 + 284730*v*y + v + 3 wrt v?\nAnswer: -7428*y + 81372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(468)*1 - sqrt(468))*-2)**2 + sqrt(468) - sqrt(468).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -33*r - 18. Let t be u(21). Let p = t + 714. Solve -z - 1 = 5*d, p = -3*z + 2*d + 3*d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -89 + 89 + 3*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 7*y**2 + 8029*y + 6*y**2 - 8004*y - 11. Let o(r) = 6*r**2 + 13*r - 5. Give 9*o(j) - 4*t(j).\nAnswer: 2*j**2 + 17*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**3 - 4*s**2 - 3*s + 1. Let o be 6*2\/8 - (-140)\/(-8). Let t(y) = -2*y - 31. Let j be t(o). Let m be (-4 + 10\/5)\/(j\/(-2)). Calculate r(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -16*h + 6. Let a(k) = -33*k + 11. Let p(w) = 3*a(w) - 5*y(w). What are the prime factors of p(-8)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1515146797 - 1722?\nAnswer: 1515145075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 4}. What is prob of sequence dd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + 3 + (9 - (6 + (-11 - -12))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13701391?\nAnswer: 11, 43, 83, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 733 - 367234\/501. Let j = 172285321 + -517889658733\/3006. Let g = j - m. Find the common denominator of g and -35\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3157661646 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -0 - 1, 5*c + 5*f = 15. Suppose -c*u = -u - 25. Is u smaller than 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -0*s. Let q be 25\/9 + 2\/9. Suppose s*x - 4*x + 38 = 3*o, 27 = 2*o + q*x. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -1\/2, 0.102, 5 in descending order.\nAnswer: 5, 0.102, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 6*x + 2*l = 0, -x - 3*l = 7. Let r(s) = x + 5 - 5*s + 6*s. Suppose -2*k - 15 = -5. Give r(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 18225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 835088.9 weeks in days?\nAnswer: 5845622.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (7601\/308 + -27)*(-40)\/25?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 - 17463?\nAnswer: -17461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5d + -280?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-2\/7)*j)**(-1\/7))**(2\/21) assuming j is positive.\nAnswer: j**(-10\/1029)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -447*v + 1850. Let t be l(4). Solve 26 = 4*h + 5*j + t, -h = -4*j - 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03393574 rounded to five decimal places?\nAnswer: 0.03394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1, 23 in increasing order.\nAnswer: -1, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2535835*m**2 + 4031344.\nAnswer: -5071670*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19283 + 2588 = -5*k. Suppose 3*g - k = -5*p + 343, 2*g - 1472 = -2*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 120\/25*(-325)\/(-13) is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the first derivative of -t**4\/4 - 2*t**3 - 7*t**2\/2 - 36*t + 1547. Calculate n(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 0*o - 3 = -4*o, 5 = -3*a + 4*o. Let p(i) = i**3 + i + 12 - i**2 - 12. Let k be p(a). What is the greatest common divisor of k and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i = -5*d + 10, -30 = -3*d + 2*i + 3*i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 575*d - 6422. Calculate s(11).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 1265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*s + 2756 - 2696 = 0. Solve -194*c + s = -190*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*i + 2905 = 17530. Let h(k) = -k**3 - 5*k**2 - 4*k - 2. Calculate the remainder when i is divided by h(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -194200 divided by -4?\nAnswer: 48550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence am when two letters picked without replacement from vvmdcaammvdcavamvvva.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 6*c**2 - 13*c - 12. Suppose 3*i - 4 = -f - 0, 20 = -5*f - 5*i. List the prime factors of u(f).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -417*r**4 + 212*r**4 + 4*r**3 + 210*r**4 + 6*r**2 in the form d + l*r**2 + z*r**4 + y*r**3 + s*r and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 677 + 2133. What is the greatest common factor of 20 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - 13964.85.\nAnswer: -13971.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-8 - -9)\/((-2)\/(-6)). Let l be (1 - -6)*(2 - b). Let a(i) = i**3 + 6*i**2 - 10*i. Calculate the smallest common multiple of a(l) and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -49 greater than or equal to -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2 - -3*(-24)\/(-45). Let i be -9*(-6)\/99*3080\/420. Which is the nearest to 0?  (a) n  (b) 1\/12  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*t + 51 = -30. Let i be -55*(12\/(-15))\/2. Calculate the remainder when t is divided by (14\/(-4))\/((-11)\/i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/48 and -109\/6693336.\nAnswer: 13386672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (16 - -4 - 6) + -77 + 89\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -54 - -53.939. Let d = 0.316 + r. What is d rounded to two decimal places?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 8*d**3 + 6*d. Let y(u) = 3*u**3 + 2*u. Let b = -24 + 13. Let m = -133 - -139. Suppose -3*p = -3*q + m, 4*p + p - 10 = 0. Calculate b*y(j) + q*w(j).\nAnswer: -j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -1098*u + 1104*u - 3228. Which is greater: 537 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-44*j**4 - 21*j**2 + 21*j**2 + j)*(946 + 1025 - 235) to the form i*j**4 + h*j + g*j**2 + k*j**3 + s and give i.\nAnswer: -76384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49 - 31 = -2*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 633a4 (base 14) to base 10.\nAnswer: 239460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -32 - -34. Suppose -3*x = -r*t + 67, 0 = -5*t - 3*x - x + 110. Calculate the greatest common factor of 13 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -16, -7265, 7, 16 in increasing order.\nAnswer: -7265, -16, 1, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -50 - -74. Calculate the greatest common factor of 120 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11241 (base 7) in base 11?\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 8 divided by 448\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 114 + -115. What is the nearest to -12 in -2\/3, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -25395, -50917, -76439, -101961, -127483, -153005?\n\"Answer: -25522*b + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 48841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -0.3  (b) 2\/59  (c) 4  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4014589 smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -10153 - -151745?\nAnswer: 141572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.22 + 1.7. Let c = 1.9 - d. Let z = -0.02055 - c. What is z rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1\/195 + -379\/2145. Which is the closest to 0?  (a) -2  (b) 6  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 19 = 15 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -614*m = 5*w - 618*m - 29, 3*m = -3. Let d be (-3)\/(63\/6)*-14. Solve -w*y = -d*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.3 - 0. Suppose 4*x - 2*y = 4, 2*x - 4 = 2*y - 2. Which is the closest to x?  (a) 5  (b) n  (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6416*h**3 - 86*h**2 + 15?\nAnswer: 38496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.5?  (a) -1  (b) -1\/3  (c) -13\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -26787, -53568, -80349?\nAnswer: -107130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is h in 2*h**4\/15 - 10092*h**3\/5 + 37305078*h**2\/5 + 6721998624*h\/5 + 295767939456\/5 = 0?\nAnswer: -87, 7656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*p + 16*p = -58. Let w = -0.74 - -1.74. Sort w, p, 0, -5.\nAnswer: p, -5, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*w + 47 = 149. Let m(c) = 7*c - 39. Give m(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -16 and -6.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(392) - sqrt(392)*-3 - sqrt(392))\/sqrt(7) + sqrt(504)\/(sqrt(36)\/sqrt(4)))\/(-2*1*sqrt(392)*-5).\nAnswer: 2*sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-9)\/3 - -2) + 0. Suppose 9*o + 8*o = 17. Is o at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3.79 + -0.79. Let r be (8\/24)\/(14\/12). What is the second biggest value in r, 0.2, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 808 and 65852?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) -120  (c) -0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = 5*p + 4*h + 42, -2*h + 25 = -5*p. Let w = -10 - p. Let t be 2 - 316\/168 - 4\/(-24). Which is the nearest to -1?  (a) w  (b) -0.2  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 160*z. Let u(j) = 6*j - 115. Let a(d) = 3*d - 46. Let t(p) = 5*a(p) - 2*u(p). Calculate k(t(v)).\nAnswer: 480*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25427*g + 22117 = -24824*g + 5233 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7879.\nAnswer: 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/7, 71, 4?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 6) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 734 - -5?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00004592 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 12\/(-36) + (-4)\/(-6). Let o(y) = -y**2 - 13*y + 36. Let p be o(-15). Let l(z) = z - 8. Let i be l(p). Sort d, 0, i.\nAnswer: i, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 273986137 and 273986137 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -2*b - 1. Let o be (-42)\/24 + (-2)\/8. Let d be g(o). Let r be ((-6)\/(-5))\/((-12)\/(-15)). Are d and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes after 1:10 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 - 4 - 3 - 3*t + (0 + 1 + 13)*(-t + 3 - 3) to u*t + f and give u.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 0.1  (b) 1\/3  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-7 + 341\/33)\/((-7)\/(-3)). Find x, given that -2\/7 - b*x - 8\/7*x**2 = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 49*i + 64*i - 879705. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -52618*h - 210348. What is b(-4)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 1  (b) -0.4  (c) 5  (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1276 + -1276. Suppose -5*f + p = -13, 2*p + 6 = -2*f + 4. Solve f*m = -h*m - 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 - 1. Suppose 6*i - 12 = l*i. Solve i*m = 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/14*72\/((-216)\/(-12))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2797424968?\nAnswer: 2, 13, 26898317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the third derivative of a**6\/120 + a**5\/15 - 25*a**4\/24 - 14*a**3\/3 - a**2 + 964. Find s such that j(s) = 0.\nAnswer: -7, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 32*a**2 + 2582*a - 6145. What is p(-83)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 5810739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {n: 1, y: 3, l: 2, f: 6, m: 1}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 30*v**2 - 42. Let h(m) = 3*m**2 - 4. Let l(i) = -63*h(i) + 6*k(i). Let q(j) = j. Calculate q(l(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 43 = -10. Let w = 0.06 + -2.06. Let q = -44929 + 673937\/15. Put q, w, 5, l in increasing order.\nAnswer: l, w, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3570 and 2142.\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -406 - -424. Suppose 4038 = -b*s + 24*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 303155002 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*l - 8974 + 7686 = 0 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 392*s**2 + 2595*s - 4. Is z(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 340 and 510.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 7*p**3 + 4*p - 3. Let o be a(1). Suppose n - 7 = o*n. What is the third smallest value in n, 4, 2\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*x + x - x + (-5*x + 5*x - x)*(3 - 2 + 0) + 13 + 15 + 2*x + 14 as g + v*x and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42833*z + 17 = 42835*z - x, -44 = 4*z + 4*x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 280*a**2 - 301*a + 2 + 30*a**2 + 87*a**2 wrt a?\nAnswer: 794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (3*(sqrt(260) + (sqrt(260) + sqrt(260)*-1 + sqrt(260) + sqrt(260) - sqrt(260)))\/sqrt(5)*5)\/((sqrt(300)*-2)\/sqrt(3)*-4).\nAnswer: -4 + 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 168\/26*(35 - 22). Solve 342*o - 330*o - c = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-4) - (1 + (-4)\/16)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 1 h, and 2 x when four letters picked without replacement from {f: 2, k: 2, x: 3, h: 3, z: 3}.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5561\/913 - 4\/44)*(275\/105 + -3)?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -2*o**2 - o + 60. Let b be c(5). Let t be (-160)\/(-200)*b\/3. Factor -2\/3*q**2 + 0 + t*q.\nAnswer: -2*q*(q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8322258 and 3234?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that 4*i**3 + 412*i**2 - 8712*i = 0.\nAnswer: -121, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 224 * 485\nAnswer: 108640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 23*r**2 + 14*r**2 - 2*r + 11*r**2 - r**4 - 2*r**3 to the form g*r + f*r**4 + l*r**3 + s + h*r**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2 + -4 + 2 + 13*35. Calculate the greatest common factor of 41 and r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 1 l when three letters picked without replacement from {h: 5, l: 7, k: 4, n: 3}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**3 + 7*x**2 + x + 5. Suppose 0 = -83*y + 85*y - 3*p + 14, p - 7 = y. Calculate b(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 32965.36 weeks?\nAnswer: 5538180.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -843 - -879. Let s(x) = 9*x. Let m be s(4). Is m at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-2)\/4)\/(2\/8). Let w = 2.5 + -3. Let f be 9*(25 + (-10155)\/405). Which is the closest to 0?  (a) w  (b) f  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 183483869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2, 4, -11 in decreasing order.\nAnswer: 4, 2, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/16 of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 68 + -67. Let n be d - 4\/(-12)*-21. Is (6\/8)\/(3\/n)*-2 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(112) - -2*sqrt(112))**2 + 0 + sqrt(7) + -1 - sqrt(448)*-3.\nAnswer: 25*sqrt(7) + 1007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s\/(s**4\/s*s*s))\/((s**5*s)\/s))\/(s**(-1\/12)\/(s*s**(2\/19))) assuming s is positive.\nAnswer: s**(-1553\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -215556 (base 8) to base 6\nAnswer: -1315530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 0*u - 9 = 0. Suppose 2*p - 20 + 16 = 0. Is 20 a factor of u*p\/(-9) + (-1604)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.8723 bigger than 5050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 3*c**3 + 23*c**2 - 35*c + 19. List the prime factors of h(10).\nAnswer: 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(931))**2 - (sqrt(2736) + 1).\nAnswer: -40*sqrt(19) + 934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 322 + -17. Let r = d - 194. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 3*x**2 - x - 1. Let j be w(-1). Let v(y) = 7*y - 17. Let s(l) = -6. Let p(k) = 3*s(k) - v(k). Calculate p(j).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/13 in -1\/59, -2, 2, -7?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/34 and -25\/34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dfffdjddjffffd. What is prob of picking 2 d?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 3*f = -229 + 79, -35 = -x - 2*f. Suppose -14*j + 5*j + x = 0. Suppose -z - 3*z + j*p + 393 = 0, 2*z = 4*p + 204. What are the prime factors of z?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 70329 and 60282.\nAnswer: 421974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j**3 - 19913*j**2 + 874720*j - 9616596 = 0. What is j?\nAnswer: 22, 19869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -2*l**3 + 86*l**2 - 78*l - 44. Let n be z(42). What is the greatest common factor of n and 611?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -499*g**2*t**4 + 1710*g**2 + 2468*g*t**4 + 5*g + 124 wrt t?\nAnswer: -1996*g**2*t**3 + 9872*g*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 92 + -58. Suppose -4*g - 15 = -9*g, 4*x = -2*g + o. Calculate the highest common factor of 21 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1875)\/975)\/(67\/(-871)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 369 and 4551?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -87, -2245359 in descending order.\nAnswer: 0, -87, -2245359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 14*g - 40. Let o = 80 - 63. Let s be l(o). Suppose -760 = -4*q + 2*k, -5*k = 2*q - 194 - s. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2297485?\nAnswer: 5, 163, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1012000 - -21020000?\nAnswer: 22102000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**22*o)\/o**(-18)*(o**(4\/3)*o)**25)**(-6) assuming o is positive.\nAnswer: o**(-596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 165 and 217?\nAnswer: 35805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3 + 1)*1\/2. Suppose -s - p = -3. Which is the biggest value?  (a) -1\/4  (b) -0.1  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(6*sqrt(85)*2 + sqrt(85) + (1*sqrt(85)*-2 - sqrt(85))))\/((((sqrt(180) - -3*sqrt(180)) + sqrt(180))*1 + sqrt(180))*4).\nAnswer: 5*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 271 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 36538a (base 11) in base 13?\nAnswer: 1731a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + 0 - (2 + -3)) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*r**5 - 124*r**2 - 1484*r?\nAnswer: -80*r**3 - 248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-277)\/(-6) - ((-504)\/21 + 1595\/66)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 397406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 24*x**2 + 0*x - 14*x + 138*x**2 - 27 + 6*x wrt x.\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 97.03442nm to kilometers.\nAnswer: 0.00000000009703442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**2 + 10*q - 114. What is l(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-o + 3*o + 0*o)*(59 - 187 - 220) to s*o + b and give s.\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 14482995257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.1 - 0.9. What is the smallest value in 1, d, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 178 + -76. List the prime factors of u.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -q + c - 4, -4*q + 2*c + 16 = 0. Let l = q - -4. Suppose 6*f - l*f = -5. Solve 2*p = -4*g - 14, -2*p + 8 = f*g + 26 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**3 + 4*a**2 + 109*a - 516. Calculate q(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.13 + 0.87. Which is the closest to -0.1?  (a) -0.4  (b) -0.2  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -9\/56  (b) 0.08  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in fifty-three fifths of a day?\nAnswer: 15264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3614203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(26)\/sqrt(2) + sqrt(13) + 4 + sqrt(13)*1 + -2.\nAnswer: 2 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -541 + 546. Suppose 2*u - n*k - 449 = 0, -685 = -3*u - 0*u - 4*k. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10418761 to the nearest integer?\nAnswer: 3228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 491940008 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3606 = -6*u - 2*s + 58144, 4*s = 20. List the prime factors of u.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2109766 and 150406?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 + 8 + (403 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 20783983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -17 + 5, -2*k = -y. Let n(m) = -m**3 - 4*m**2 + 10*m - 9. Let c be n(y). Suppose 6*s - c - 87 = 0. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**2 - 4*t - 3. Let b be c(-2). Solve 5*o + b = 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 1  (b) 3  (c) 28  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(-1\/13)*f**(-3\/5))\/(f**(1\/4)*(f**(3\/10)\/f)\/f) assuming f is positive.\nAnswer: f**(501\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 6*n**2 - 2*n + 1. Let p be z(1). Suppose 23 = p*x - 27. Solve c - x = -c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4033 - 4023. Put -4\/5, -2\/13, w, 2 in ascending order.\nAnswer: -4\/5, -2\/13, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14051, -14039, -14025, -14009, -13991?\nAnswer: -13971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2471145 (base 9) to base 12.\nAnswer: -54aa28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30677 and 259?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*c - 8*c = 614050. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 at most 6\/2636879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = -6*g + 2*b - 148, -4*g - 154 = b. Let q = 103 - 47. Let h = g + q. Calculate the lowest common multiple of h and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -20 + 4*k - 43 - 34 + 100 - 5*k. Let y(h) be the first derivative of h**2\/2 - 4*h - 1. Calculate 8*v(m) + 5*y(m).\nAnswer: -3*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 9*f**3 + f**2 + 5*f - 14. Give p(2).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -318*m**2 - 2 - 554*m**2 + 8 + 2*m - 6 to y*m**2 + g + j*m and give y.\nAnswer: -872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -215 - -218.94. Let j = -0.06 - m. Let g(n) = -n**2 + 13*n + 2. Let t be g(13). What is the third smallest value in 4, t, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + l = -569, 0 = -3*n + 4*l + l + 1715. Suppose 0 = -4*m - 2*s + 452, -6*m + m + 2*s = -n. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 85 is divided by 67?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**3 - 2. Let r(g) = -2*g**3 - g - 1. Let p be r(-1). Let l be z(p). Let b(f) = -4 + 1 - l*f - 7*f + 11*f. Determine b(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -93*k + 2521 = -827. Let w(z) = 2*z**3 - 2*z. Let o be w(2). What is the highest common factor of o and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -44*i**3 + 28*i**2 - 173*i - 19. Let d(g) = -29*g**3 + 18*g**2 - 115*g - 12. Give -14*d(n) + 9*j(n).\nAnswer: 10*n**3 + 53*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -142 - -167 - (-2 + 26).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3171*g + 401*g + 124650 = 0 for g.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 541719625 and 150.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 204 is divided by 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -83, -165, -247, -329, -411?\nAnswer: -493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.3 >= -72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 40 - 16. Let s = f - 4. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((s*s**(-8))\/s)\/s)\/((((((s\/s**5)\/s)\/s)\/s)\/s)\/s))\/((s**(1\/2)*s)\/(s*s**(-1\/6))) assuming s is positive.\nAnswer: s**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**3 - z**2 - 8*z - 26. Does 12 divide d(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*u**2\/5 + 28006752*u + 140033764\/5.\nAnswer: -4*(u - 35008441)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 204 - 109 - 5*s - 167 + 1 - 1 - 2*s + (-1 + 1 - s)*(0 + 2 - 1).\nAnswer: -8*s - 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 less than -67257.142685?\nAnswer: -67686.142685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t + 8. Let k(s) = -8*s**2 + 12*s - 9. Let b(w) = 7*w**2 - 11*w + 8. Let y(a) = 7*b(a) + 6*k(a). Let r be y(4). Let l be 36\/r*(-2)\/6. Calculate g(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13955202 is divided by 34888.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -6\/5 - 6\/5*g**4 + 12\/5*g**2 - 21\/5*g**5 + 42\/5*g**3 - 21\/5*g = 0. Calculate g.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the first derivative of 17 - 3\/2*x**2 + 1\/4*x**4 + 5*x + 5\/3*x**3. Give w(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 3*g - 18 = -0*g, -4*z + 3*g = -9. Suppose 5*x = s - 11, 4*s = -z*x + 46 - 2. What is the remainder when s is divided by ((-6)\/(-9))\/((-2)\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 27?  (a) -0.1  (b) -13\/2  (c) -6  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(sqrt(11) + sqrt(11)*1)*6)**2 + (((-1*sqrt(352))\/sqrt(8) + sqrt(44))\/sqrt(4))**2)*2.\nAnswer: 28512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.2 - -1.8. Let k(w) = -w - 3. Let v be k(-7). Which is the closest to -0.1?  (a) x  (b) v  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -28194\/17 = -1658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99*g - 4*g - 52*g + 43 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4732644 divided by -547?\nAnswer: -8652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1019624?\nAnswer: 2, 127453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 211274 to the power of 1\/2, to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(468)\/(-2*sqrt(225) - sqrt(225)) + (2*(-3 + 5 + sqrt(325) + 1))**2.\nAnswer: 1798*sqrt(13)\/15 + 1337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2622410291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g + r + 426, 0 = 4*g - g - 2*r + 417. Let y = g - -990\/7. Let o = -5 + 8. Sort -0.2, o, y.\nAnswer: -0.2, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u - 23. Give b(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6 or -184\/35?\nAnswer: -184\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes after 12:39 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 2*s - 4*r - 442, -3*s = 5*r - 676. Let h = -182 + s. Solve -3*k - 2*k = 5*n + h, n - k = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1704 - -1742. What is the remainder when 300 is divided by q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -71 + -103. Let p = v + 54. Let w = p - -164. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 873807 to the power of 1\/2, to the nearest integer?\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**3 + 4*p**2 + 6*p - 1. Let n be u(5). Suppose 0 = -n*i + 2*i + 5*k + 6, i = -k + 3. Solve -5 - 1 = i*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 89 in 0.5, 0.664, 0?\nAnswer: 0.664","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4988?\nAnswer: 2, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.03, 7, -1 in decreasing order.\nAnswer: 7, 0.03, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1 - -4) + (-113)\/88. Let u = -111\/11 + i. Let f = 267\/440 - 5\/88. Find the common denominator of u and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 22 - 13. Suppose -z - 2*z - l = 0, -5*z = 2*n - 9. Suppose 8*v = -2*q + 3*v + 36, -n = q - 5*v. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:46 PM and 5:50 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 4 - 782*s**3 + 7.\nAnswer: -782*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1040)\/(-35) + (-2)\/(-7). Let q = x - 20. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 80, 149, 214, 275, 332, 385, 434?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4854.781 decades in months?\nAnswer: 582573.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7014?\nAnswer: 2, 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 355342 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4\/33 + 157\/66. Let i = -0.142 + 0.232. Let z = -0.11 - i. Which is the third smallest value?  (a) t  (b) -3  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s**2 - 1 + 1)*(2145*s**3 + 2142*s**3 - 4291*s**3 - 435*s).\nAnswer: 8*s**5 + 870*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 - -2.74. Let w = h + -0.14. Which is the closest to 1?  (a) 1  (b) w  (c) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40849.\nAnswer: 40849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 124060693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 2*z = 25542, -13*r - 2*z = -9*r - 102132. What is the thousands digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*c - 36*c + 31*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 3 = 3*u, 2*n + 0*n - 2 = 2*u. Let r be u + -900000 + -1 + 2. What is r rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1100121 + -32?\nAnswer: 1100023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (25*t - 14*t + 15*t)*(-2 + t**4 - 26*t**2 + 26*t**2).\nAnswer: 26*t**5 - 52*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 + -2. What is the units digit of (-10)\/b*24\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 14879*d**2 + 9*d. Let m be o(-1). Round m to the nearest one hundred.\nAnswer: 14900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -91, -205, -319?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**3 - 2*w**2 - w. Let b(g) = 3*g**2 - 2*g**2 + 4 - 1. Let v be b(0). Is y(v) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the second derivative of h**4\/12 - 7*h**3\/6 + 3*h**2 + 13*h. Let u be a(7). What is the first derivative of -3*y + 2*y - u*y + 4 wrt y?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1791 + 125 = -7*f. What is the highest common factor of 34 and f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 584794 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**5)**38*(g*(g\/(g**(-2\/15)\/g))\/g)\/g**(-7))**(-2\/53) assuming g is positive.\nAnswer: g**(-5974\/795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 - 442. Let c be 2\/(-7) - 114\/x. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -102 - 11?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, 2\/9, 0.1, 4, 93047 in ascending order.\nAnswer: 0.1, 2\/9, 4, 13, 93047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(1\/7)\/(w*w*w\/(w*w\/(w*(w\/w**(-7))\/w*w)*w))*(w\/w**1*w)**28*((w\/w**0)\/w**(-2\/11))\/(w**(-2)*w**(-5)\/w) assuming w is positive.\nAnswer: w**(2181\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 604903 to the nearest one thousand.\nAnswer: 605000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**2 - 5*i + 17. Let x(f) = -2*f**2 - 11*f + 33. Let t(c) = 5*m(c) - 3*x(c). Let h = 15356 - 15366. What is t(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18 - 18. Let v be -1 + 0 + m + (5 - -418). Suppose -28*x + v = -26*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 8) to base 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3389.\nAnswer: 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v - 2*m + 30 = 0, -4*v + 37*m = 35*m + 50 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -86, -88, -90, -92, -94?\n\"Answer: -2*h - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (23 + -20)\/(1\/(11\/3)) and 284.\nAnswer: 3124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b = i + 12 - 4, -5*i + b = -26 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7, 19, 33, 49, 67?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31032001102 (base 4) to base 9.\nAnswer: -6461441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -1955447*d**2. Let n(g) = 179*g**2. What is c(n(l))?\nAnswer: -62654477327*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 minus -189?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 79*i**2 + 92*i**2 - 187*i**2.\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in fourty-two fifths of a microsecond?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -16*f**2 + 30*f - 1. Let g(t) = 3*t**2 - 6*t. Let o(a) = 11*g(a) + 2*l(a). Calculate o(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -0.1, 432, -37.47?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.21, 2\/3, 2, 235\/4, -14 in descending order.\nAnswer: 235\/4, 2, 2\/3, -0.21, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.7 + -0.3. Let j be 60\/(-9) + 4 - (-174)\/72. What is the nearest to k in -0.09, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:36 AM and 3:09 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-58)\/17545*(-345)\/138?\nAnswer: 1\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -2*l. Let d be i(-2). Let h = -170 - -166.05. Let f = h + -0.05. Which is the third smallest value?  (a) d  (b) 0.5  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-27)\/(-21) - -3)\/(93\/11067). Solve 0 = -83*u + f + 237 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -60518, -120988, -181374, -241634, -301726, -361608?\nAnswer: -421238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gcn when three letters picked without replacement from cncgccccccccccc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -5*m + 5. Give f(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 - (27 - 20) - (35 + -31 + (-1 - 51))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 328.26 + -2.26. Let n = l - 326.00000068. What is n rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4626?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*s**3*w - 80*s**3 + 63*w wrt w?\nAnswer: -2*s**3 + 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7\/51?  (a) -4  (b) -0.3  (c) 2.3  (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is (-192179)\/(-208) - (-1)\/16 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 6  (b) 3\/19  (c) -119  (d) -2\/53  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2099196*d**2*n**3 - 2818*d**2*n - 1249*d**2 + d*n**3 wrt n.\nAnswer: -12595176*d**2*n + 6*d*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the second derivative of 3*u**4\/4 - u**3\/3 + 9*u**2\/2 + 8*u. Let s be w(5). Suppose 5*a - 9*a + s = 0. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -130 - -475. What is the greatest common divisor of g and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**3 + 42*j**2 - 184*j - 3. Give l(-46).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 less than -223750189?\nAnswer: -223750189.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 104674 a multiple of 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/3 + 26\/(-6). Let c(x) = x**3 + 3*x**2 - 5*x - 2. Let g be c(t). Calculate the highest common factor of 5 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n + 80 = 10*n. Let u = 0.2 + -0.3. What is the nearest to u in 1\/8, 0.5, n?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - 1 - (19 - 14 - 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/18*-1)\/((324\/648)\/((-6)\/(-50)))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-20)\/a*a**(-15\/4))**(1\/12) assuming a is positive.\nAnswer: a**(-33\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 14030222113 + 0?\nAnswer: 14030222113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 63 and 234?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 597*o**2 - 4 + 4.\nAnswer: 597*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c**2\/4 + 197163*c\/4 - 591453 = 0 for c.\nAnswer: 12, 197151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 83162924 to the power of 1\/2, to the nearest integer?\nAnswer: 9119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 2*h**2. Let f(p) = 138*p - 120*p + 0 + 0. Give u(f(z)).\nAnswer: 648*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -c985a (base 16) in base 2?\nAnswer: -11001001100001011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 - 12310113021?\nAnswer: -12310113020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1262, -3548, -7366, -12722, -19622?\n\"Answer: -m**3 - 760*m**2 + m - 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor r + 0 + 11*r**3 + 19\/3*r**2 + 3*r**4.\nAnswer: r*(r + 3)*(3*r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 7062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(19\/5)*(b*((b\/(b**(-4)*b*b))\/b)\/b)\/b*b assuming b is positive.\nAnswer: b**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 159  (b) 0.28  (c) -4  (d) -32  (e) -1  (f) -0.1  (g) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0 times 8816\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3810 + 3785. Let j(u) = -2*u - 37. Determine j(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 13, 15020, -6 in descending order.\nAnswer: 15020, 13, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 100 and 220?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p - 19 = 3*j - 65, 5*j + 5*p - 70 = 0. Solve 22*r = -j*r + 140 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (29\/580)\/(-6*(-2)\/90).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times 33485531?\nAnswer: 66971062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 42\/55 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 1 - 8*z + 10*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n**5\/11 + 36002*n**4\/11 - 10314466*n**3\/11 - 52184266*n**2\/11 - 83811568*n\/11 - 41977768\/11 = 0. What is n?\nAnswer: -18283, -2, -1, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -3565, -7141, -10715, -14281, -17833, -21365, -24871?\n\"Answer: l**3 - 5*l**2 - 3568*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 531 and 972?\nAnswer: 57348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(91) - (sqrt(91)*-2 + sqrt(91))*5)\/(sqrt(567)*-2) - (-3 + sqrt(13)*2 - sqrt(468)*2)*2)**2.\nAnswer: -182308\/9 - 944*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.068?  (a) -1\/11  (b) 2  (c) 1\/3  (d) -0.02  (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -14*n + 19 + 23 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13085 - 13092.0412. What is h rounded to one decimal place?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that 2\/3*z**4 - 60 - 91\/3*z**3 + 364\/3*z + 37\/3*z**2 = 0.\nAnswer: -2, 1\/2, 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from iuu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 49*n - 201*n + 139 + 50*n + 2*n**2 + 47*n + 59*n in the form h*n + j*n**2 + k and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 40*y + 3716 = -36*y, 4*f + 5*y = 14820. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1201, 2463, 3739, 5035, 6357, 7711, 9103, 10539?\n\"Answer: y**3 + y**2 + 1252*y - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-165)\/10)\/11*(-28)\/(-21).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = 3*j + h + 2, -5*h = -5. What is the units digit of (-3)\/(2\/j*189\/27762)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 2*t - 28 = 2, 4*t = -3*f - 32. Let o = -117417 + 117448. Put -3, f, o, 4 in descending order.\nAnswer: o, 4, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18513 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 4, -0.199, 1\/3 in descending order.\nAnswer: 4, 1\/3, -0.199, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o + 1. Let l(s) = 59*s - 32. Let j(y) = 6*k(y) + l(y). What are the prime factors of j(10)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**3 + 9*w**2 + 10*w + 5. Let f(d) = 9*d**2 + 1. Let m be f(1). Let r be h(m). Suppose -r = 4*x - 13. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 493308 and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -125, -90, -53, -14, 27?\n\"Answer: g**2 + 32*g - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4196550 and 137946.\nAnswer: 1662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the third derivative of g**7\/2520 + g**6\/360 - g**5\/15 + 3*g**2. Let i(m) be the third derivative of b(m). Let p be i(7). Solve -j - p = -5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 1009 = 3*v. Is (-6)\/(-30) - v\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -35 + 33. Let q be (-16)\/(-56)*s\/(-1). Suppose 9*m - 12*m - 3 = 0. Which is the smallest value?  (a) m  (b) -3  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 105 and 1064805?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve u = -3*x - 0*x + 19, -8*u + 17 = 11*x - 32*x for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the first derivative of -2*b**3\/3 - 43*b**2 - 900*b - 1519. Determine i, given that t(i) = 0.\nAnswer: -25, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/71?  (a) -8  (b) -4\/9  (c) 337\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 3*i. Let j be f(-1). Let o be ((-24)\/(-18))\/((-2)\/j). Suppose 0 = o*x - 7*x + 15. Solve 0 = -x*a - a - 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3685*k**6 - 13712*k**4 - 166959966*k**2 - 1?\nAnswer: 442200*k**3 - 329088*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-5)\/(-5) + (-5 - 1). Let h be 16 - s - (0 - -6). What is the greatest common divisor of 35 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from otiouooooouiouuuzoou. Give prob of picking 2 o, 1 i, and 1 t.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**3 + 14*k**2 - 308*k + 105. What is f(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, -2\/5, 1\/2, 7, 2\/7, 875?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -577 - 1189 + 9075 - 2*p**2.\nAnswer: -2*p**2 + 7309","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20338 (base 16) to base 5.\nAnswer: 13210041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 35447 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/33102 and 77\/27585.\nAnswer: 165510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 87 * 9.\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 42 and 282?\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -2*h**3 + 1667*h**2 + 4158*h + 18392. Give z(836).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -2\/15, -0.3, -0.439?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 + 33?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 71 + (-9)\/(-3) + -1. Let p = x - 805\/11. Suppose -s - 13 = 5*v, 0 = -4*v - s - s - 14. Sort v, -0.2, p.\nAnswer: v, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8 + 524. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4 or -13453?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12221211 (base 3) to base 6.\nAnswer: -32034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -276584 by 1.\nAnswer: -276584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0, 3, 79, -8, -5 in descending order.\nAnswer: 79, 3, 1, 0, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -62937 and -350000?\nAnswer: 287063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(11) + sqrt(22)\/(sqrt(8) + sqrt(2))).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -12.267 and 139.\nAnswer: -1705.113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(567) - (sqrt(567) + -1))**2 + (sqrt(77) - (sqrt(77) - (sqrt(77) - -2*sqrt(77) - sqrt(77))))\/sqrt(11).\nAnswer: 1 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 - 15 = -6*s. What is the lowest common multiple of 14 and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18)\/27*(-5)\/((-100)\/6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26429038 is divided by 1692.\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gigiigvigr.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11385565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4306\/15595 or -1?\nAnswer: 4306\/15595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -12*f**3 + 248*f**2 - 156*f - 80 = 0.\nAnswer: -1\/3, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -5, q + 0 + 0 = -3*t. Solve -2*j = -2*k, -8*k - q*j + 32 = -3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -23, 9, -314, 4, -18 in descending order.\nAnswer: 9, 4, -18, -23, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1201002002220 - 10?\nAnswer: 1201002002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10011?\nAnswer: 3, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60*s - 117 + 1097 = 256*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -62*i**4 + 3*i**2 - 11*i - 2. Let x(j) = -125*j**4 + 5*j**2 - 21*j - 3. Let m(p) = 5*b(p) - 3*x(p). Find the second derivative of m(l) wrt l.\nAnswer: 780*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8350*s - 10281*s - 63 + 135 - 72.\nAnswer: -18631*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4853 is divided by 156.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -3*i**2 - 49*i + 55. Let b(a) = -a**2 - 24*a + 27. Let h(r) = 5*b(r) - 2*u(r). Is 3 a factor of h(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*c + 533 + 541 - 1623 + 36*c + 549.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does -39242403\/7 = -5606057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46*q + 49*q - q**3 - 95*q.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -333202 - 88139 = 3*o. Let s = 92747 + o. What is s rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 32654908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 4250 = 3*j, 20*r - 17*r + 7077 = 5*j. Does 32 divide -1 + (j - (-70)\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 4 + 2*i**2 + 12 - 2*i - 18. Let w be n(-1). Suppose -6 + 0*g**w - 8*g**2 + 10*g**2 + 6*g - 2 = 0. What is g?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 214, 799, 1772, 3133, 4882?\nAnswer: 7019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 - 40*(-16 + 3). Let d = w - 4657\/9. What is the common denominator of -29\/9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(117) - -1*(sqrt(117) + 3 + sqrt(117)) - 2*(sqrt(117) + -5 + sqrt(117))))**2.\nAnswer: -78*sqrt(13) + 286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide (-2 + -140)*(-1)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (-7 - (3 + -4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1529 and 686581.78?\nAnswer: 685052.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 94008459 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 213  (b) 2\/21  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*m + 36 = -4*m. What is the third derivative of -8*a**m + 2221 - 2221 - 17*a**2 wrt a?\nAnswer: -960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r + 0*r - 2*r)*(-5*r - 3*r + 16*r + 1).\nAnswer: -8*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.450673 decades in years?\nAnswer: 84.50673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the second derivative of d**9\/3780 - d**8\/120 + 2*d**7\/21 - 2*d**6\/5 + 13*d**4\/3 - 97*d. Let w(o) be the third derivative of z(o). Factor w(r).\nAnswer: 4*r*(r - 6)**2*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*r - 27*r = -12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 347, 0, -2.\nAnswer: -2, 0, 347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**3 - 5*j**2 + j - 6. Let t be w(5). Let p be ((-25)\/(-10))\/5*t*2. Do p and -6\/61 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -12  (b) 3  (c) -1184  (d) -5  (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:28 AM and 5:39 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 914769 is divided by 1581.\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 - 104?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -293, 9, 0.3, 2\/35, -8?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 7, y: 3, m: 2, r: 3, c: 4}. Give prob of sequence rym.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001009491 to 6 dps.\nAnswer: -0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.13 - -38.87. Let z = -33.7 + t. What is z rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-108)\/252*(-8)\/(-6)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-18) + 6\/18.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21884 + 16*s**2 + 43791 - 21907.\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in -0.4, -3, 27, 6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*f - 4*f + 20*f + (0 - 4 - 4)*(3 + 1 - 2)*(f + 4 - 4).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -4*h**2 - 44*h = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 22*y**3 - 3 - 8*y**2 + 6*y**2 - 24*y**3 + 9 as w + p*y**2 + x*y + n*y**3 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/12 and (124\/8)\/((-68)\/12)?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -60\/11, -1.4, 4\/7, 4, -3\/2, 2\/9, 43?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8367.83 + 8419. Let z = -123 - -71. Let f = z + w. What is f rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 38 - 20. Suppose 4*l + 16 = 2*n, -4*n + b = -4*l + 2. Let p be 40\/(-189) - l\/14. Which is greater: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -55\/63581 and 65\/777.\nAnswer: 7057491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -654 + 735.9. Let j = f - 82. Let x be (1 - 10\/12)*-4. What is the nearest to j in -0.4, 0.4, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.1  (b) 67  (c) -2  (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.76 and 0.143.\nAnswer: 0.25168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 1076 = -5*k - 2*s, 4*k - 2146 = 2*s. Let q = -507 + k. Solve -5*h - 5 = z + 25, -q = 4*h + 2*z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -3880, -3883, -3886, -3889, -3892, -3895?\n\"Answer: -3*q - 3877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * 170927.\nAnswer: -170927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 19 - 39. Let y be 8\/g + 98\/(-5). Is -21 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -13*z**2 - 6*z + 12. Let x(d) = -6*d**2 - 3*d + 6. Let r(t) = 4*f(t) - 9*x(t). Does 8 divide r(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 25 - 20. Suppose -2*c + 53 = m. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 5*i + 8. Let f = -6.8 - -3.8. What is the closest to i in -5, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 30668 and 4019968?\nAnswer: 751734016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 2) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 8094 or 1413?\nAnswer: 8094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.005599 rounded to four dps?\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that 6\/11*d + 2\/11*d**2 + 4\/11 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 14*r**2. Let u(l) = -1139386*l**2. What is w(u(j))?\nAnswer: 18174806397944*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 23*x + 31. What are the prime factors of v(5)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 957783129 a multiple of 995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66*t = 27*t + 11*t - 834776800. What is t rounded to the nearest 100000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 143 - 138. Which is the nearest to 0.1?  (a) 3\/4  (b) r  (c) 3\/2  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 14) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 91, -3, -22, -4, -0.4 in ascending order.\nAnswer: -22, -4, -3, -0.4, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-508)\/(-635)*75\/(-2). Let q be 8\/(-6)*(-36)\/(-24). Put k, q, 4 in descending order.\nAnswer: 4, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 6, k: 1, z: 1, a: 7}. What is prob of sequence kaxx?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 17\/(-30) - (-12)\/18. Let p = 0 + 0. Is g not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -67 - -72. Which is the smallest value?  (a) 2  (b) -1  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2560 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11930873*f**2 - 1816*f - 434 wrt f?\nAnswer: 23861746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -379, -1370, -2961, -5140, -7895?\nAnswer: -11214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**3 + 5*r**2 + 6*r + 2. Let s be u(6). Factor 4*x**2 + 2 - 2 + 10*x**s + 4*x.\nAnswer: 2*x*(7*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**3 - 7*d**2 - 6*d + 4. Let y be q(-6). Suppose 2*s**y - 6*s**2 - 10 + 4*s + 10 + 0*s**2 = 0. Calculate s.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k - 4*b = 140, -997*b + 993*b = 9*k + 180 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2780*h - 2784*h + 5*v = 37, 3*h - 3*h - 10*v = -h - 16 - 2 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -21*a - 14. Give s(-3).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -62*f - 58*f + 174*f - 61*f + 2 in the form r + p*f and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:26 PM and 6:54 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h - 5*o + 13 = -6*o, -4*o + 5 = 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + o + 2*o = 99, -52 = -n - 2*o. Let w = 70 - n. Let q = -13 + w. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1154700 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 107*f = -525 - 257 - 74 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 192, 182, 164, 138, 104, 62?\n\"Answer: -4*i**2 + 2*i + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 194, 387, 580, 773, 966?\nAnswer: 1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73769*f = 74444*f - 24300 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*w**4 - w**3 - 8*w**4 - 4 - 3*w**4 + 5 - 21*w to g*w + o + p*w**4 + m*w**2 + k*w**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 202498 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -13*u - 5. Let i(j) = 7*j + 3. Let v(w) = -5*i(w) - 3*m(w). Let t(d) = 11*d. Let h(r) = 2*r**2 - r + 2. Let a be h(2). Determine a*v(z) - 3*t(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -722*w = 768032 - 830124 for w.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -152, -168, -218, -308, -444, -632, -878, -1188?\nAnswer: -1568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3, 15, 69, 177, 357, 627, 1005?\nAnswer: 1509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 266*q**2 + 2*q + 613*q**2 - 125*q**2 to the form y*q + w*q**2 + k and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 48487 - 48491. Suppose -20 = 3*r + r. Sort 4, r, c, 2 in decreasing order.\nAnswer: 4, 2, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, u: 5, v: 1, m: 2, t: 1}. What is prob of picking 1 o, 1 m, 1 t, and 1 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and -4444?\nAnswer: -2222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 737 = -5*w - v, -4*v = -2*w - 292. Let t be ((-6)\/9)\/(w\/66). Let a = t - -1048\/333. Calculate the common denominator of a and 47\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1110 (base 2) to base 9\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/8 of a gram in milligrams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 10\/15 - (-349879)\/2. Let s = 175409 - g. Let r = -472 + s. What is the common denominator of 49\/12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/(-14)*12141402\/(-39065).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13358*x + 317 = -13041*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5398 + c + 1103 + 2095 + 1100 - 7*c + 1100 + 8*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 288*-0.106\nAnswer: -30.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -27 + 64. Suppose -2*r + p = -103. Suppose -5*v + r + 6 = b, v = 3*b + 12. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -14 - 4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -65 + 8200\/125 - 1239\/2115.\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 72  (b) 2  (c) -12  (d) 2\/69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 666134?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 20 = 2*n. Let i(z) = -3*z**2 + 13*z - 22. Let k(a) = 2*a**2 - 9*a + 15. Let m(x) = n*i(x) + 7*k(x). Let t(r) = -1. Determine -m(l) + 4*t(l).\nAnswer: l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -2*n**3 - 158*n**2 - 139. Give u(-79).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 392 = 5*t - 8. What is the greatest common divisor of 20 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40 = -19*w + 29*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {p: 12, t: 3}?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 20 + 5382\/(-322) + 0 + -3 + 0. Factor 32\/7 + j*k**2 + 16\/7*k.\nAnswer: 2*(k + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 155 + -84. Suppose 0 = 2*d + 15 - u. Solve -3*m + 4*l + 0*l + d = 0, -l = -5*m + 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 560 a factor of 23294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the second derivative of -5*d**3\/6 + 5*d**2\/2 - d. Is l(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 562 is divided by 94?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -24\/5 - 34\/5*v + 1\/5*v**3 - 9\/5*v**2.\nAnswer: (v - 12)*(v + 1)*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.1513 - -2.8513. Which is smaller: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(2\/27)*z*z*z\/z**(-9)*z*z assuming z is positive.\nAnswer: z**(380\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - (4 + -2)) + (-3 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -172112\/17 or -10125?\nAnswer: -10125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3.718 - -0.018. Let h = y - -3.4. Let p be (-2*3\/8)\/(7\/(-28)). Sort h, -3, p, 2\/3.\nAnswer: -3, h, 2\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the third derivative of -3*j**4\/2 + 41*j**2. Let x(h) be the second derivative of h**3\/3 - h. Give t(x(l)).\nAnswer: -72*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-4\/7)\/h*(h\/(h*h*h\/(h\/(h**(-16\/5)\/h))))\/h*h)\/(h**14)**20 assuming h is positive.\nAnswer: h**(-9743\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 206*f + 197. Calculate c(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 39856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.364 and -1?\nAnswer: -0.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(726) + sqrt(726)*1 + sqrt(726) - sqrt(726) - (sqrt(294)*1 - sqrt(6)))\/(-3*sqrt(162) + ((sqrt(22)*-3)\/sqrt(11) - sqrt(2))).\nAnswer: -16*sqrt(3)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) 4\/139  (b) 2\/7  (c) -6\/53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-7)\/4 + 2 - (-195)\/52. Suppose 80 = 12*n + d*n. Solve -6*p + 1 = -n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 811260869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -151, -72, 131, 518, 1149, 2084, 3383?\nAnswer: 5106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l + 12. Let s be z(-11). Let b be (26\/3)\/(-2) + 3\/9. Let t be 56\/(-14)*b\/s. Calculate the greatest common divisor of 64 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4\/(16\/9))\/((-1)\/20). Let y = j + 31. Let p(v) be the first derivative of v**4\/2 + 3*v**3 - 7. Let c(w) = w**3 + 4*w**2. Calculate y*c(s) + 6*p(s).\nAnswer: -2*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -7 + 2. Let r = -29 - -49. Calculate the remainder when (-3)\/f*418\/(-33) is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/8)\/(-1)*(4 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*(-2)\/2*(-23)\/(-46)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 69 = -4*q - 24, 5*q + 4*p - 59 = 0. Let c = -4 - -7. Let v be -4 + c - (-4 + 2). Calculate the highest common factor of q and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2245927960?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 410.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the third derivative of -5*r**8\/336 + 61*r**4\/24 - 92*r**2. Find the second derivative of h(f) wrt f.\nAnswer: -100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -0.25, 2 in decreasing order.\nAnswer: 2, -0.25, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/(-3) - (-26)\/6. Suppose -t*l + 2 = -6. Differentiate 3*a**2 - 4 + 2*a**2 - 4*a**2 - 3*a**l wrt a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - m = -864. Suppose -7*i + m = -1885. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the first derivative of -g**4\/48 + 5*g**3\/24 - 36*g + 32. Let q(x) be the first derivative of j(x). Let q(a) = 0. Calculate a.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 240 - 166. Let q(f) = f**2 + 7*f - 1. What is the remainder when p is divided by q(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 206 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are -170 and -1\/2904 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q + 11. Let l be w(-3). Suppose -l = 5*a - 1713. Does 31 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 589452986.\nAnswer: 2, 294726493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t**5\/3 - 505*t**4\/3 - 518336*t**3 - 12415568*t**2\/3 - 24814720*t\/3 = 0. What is t?\nAnswer: -1015, -4, 0, 1528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2938\/6 - (-4)\/(-6). Let s = 3960 - 3949. Suppose -8*l + s*l - t = 0. Does 39 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 37, -5\/2, 2\/11, 3\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -1*(-35 - -4) - -4.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2083938199 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 278 divide 193371632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (171*v**2 + v - 183*v**2 - 3*v)*(3*v**2 - v**3 - 3*v**2) + (-v**4 - 2*v**4 + v**4)*((1 + 2 - 5)*(2*v + v - 4*v) + 0*v + 2*v - 3*v).\nAnswer: 10*v**5 + 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t**5\/5 + 1059*t**4\/5 + 5313*t**3\/5 + 1489*t**2 + 3192*t\/5 = 0. Calculate t.\nAnswer: -3, -1, 0, 1064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(108) + (sqrt(108) + sqrt(108)*-6 + sqrt(108) + sqrt(108) - sqrt(108))**2 + sqrt(108))*5 + 2)*6.\nAnswer: 360*sqrt(3) + 51852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 145*p = 150*p, w = -4*p + 15. Which is the closest to 2\/9?  (a) w  (b) -5  (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0*(-7)\/(-22 - -1). Let x(j) be the first derivative of -2\/3*j**3 - j**2 - 6 + g*j. What is the second derivative of x(u) wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -459635, -3677010, -12409863, -29415932, -57452955, -99278670, -157650815?\n\"Answer: -459623*y**3 - y**2 - 11*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 74142041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 16*z. Let m(f) be the first derivative of 0*f + 21 + 1\/12*f**4 + 0*f**3 - 7*f**2. Let w(p) be the second derivative of m(p). Calculate c(w(q)).\nAnswer: 32*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/4, 1, 4, 0.0904, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -64, -2765 in increasing order.\nAnswer: -2765, -64, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1610*r**2 + 0 + 13 - r - 88*r - 13 - 1596*r**2 + 3207*r**2.\nAnswer: r**2 - 89*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16640 is divided by 830.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -192*q**4*s + 50*q**4*w - 3*s*w - 1763*s + 2*w wrt q.\nAnswer: -768*q**3*s + 200*q**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*z**3 - 4*z - 70 - 4*z**2 + 2*z**2 - 3*z - 86.\nAnswer: 2*z**3 - 2*z**2 - 7*z - 156","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, 707, -1, 3 in increasing order.\nAnswer: -13, -1, 3, 707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 105285384 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*f + 6 + 2*f**3 - 8356120*f**2 - 4*f**3 + 8356298*f**2 to y*f**2 + n*f + k*f**3 + p and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 (base 3) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(85) + (sqrt(85) - (sqrt(85) - -5*sqrt(85)*2)))\/(sqrt(360)\/sqrt(8)) + 1.\nAnswer: -3*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*f**2 + 14550*f + 10585125 = 0. Calculate f.\nAnswer: -1455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.39 - -16.39. Let u = -15.88 + h. Let k = -0.099 + u. What is k rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 11515 and -1.59?\nAnswer: 11516.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 39961208459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 + -2020020?\nAnswer: -2020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9 and 142805.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 12*r - 5. Determine u(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/7)\/((-30)\/(-14))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 28056 and 70140?\nAnswer: 140280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - 4*j = 8, -2*g - 2*j + 12 = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -23 in 1\/4, 4, -5, 0.047?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.09 smaller than -36\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0010545 to five decimal places.\nAnswer: -0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1938\/11 greater than 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-42))\/(((24\/90)\/(20\/(-50)))\/(-16))?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -5860998 divided by 13662\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xkpy when four letters picked without replacement from eyckkckpxkcpkckp.\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 4*m + 11, -5*m - 13 = -0*p - p. Suppose y - p*y = -10. What is the third derivative of -5*a + 5*a**2 - 14*a**3 + y*a + 10*a**3 wrt a?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 20 and 610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-22)\/(-1056)*16 + (-11)\/(-66).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*r + 45738 = 45765 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -14, 0.2, 0.5, -2, 2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -4734*c + 40. Let h be a(2). Round h to the nearest 100.\nAnswer: -9400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the first derivative of -13*t**2\/2 + 16*t + 51. Let o(r) = -2*r + 2. Let d(z) = -6*o(z) + v(z). Determine d(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(1\/2))**(3\/2)*(z*z**0)**(-1\/30)*(z**5\/(z*z**(-4\/3)))\/((z\/z**(2\/3))\/z*z*z**0) assuming z is positive.\nAnswer: z**(343\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -133145.2226 and 263?\nAnswer: 133408.2226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-3 - -4) + 0)*-6. Let r = 7 - t. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 912814 and 77518.\nAnswer: 1582","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 1624\/(-1856) - 366\/(-16).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -606265.801 to the nearest 100.\nAnswer: -606300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 37, 232, 555, 1000, 1561, 2232, 3007?\nAnswer: 3880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1623.838731 rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 68585062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r + 3*t - 406 + 49, -5*r - 4*t = -1807. Let n = 360 - r. Sort 5, 2, n, 1.\nAnswer: n, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -706 + 693. Let r(j) = 6*j**2 - 11*j + 75. Does 11 divide r(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16045990474 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -149, -400, -807, -1394, -2185, -3204, -4475?\nAnswer: -6022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -288 = 58*l - 62*l. What is the units digit of l\/((-10)\/(-5) + (-112)\/60)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 4*i = 4, a - i - 3 = 2*a. Let b be (a\/(-27))\/(13\/78). What is the third biggest value in 0, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -3*u - 1. Let y be ((-105)\/(-14))\/15*106. Let r(p) = 59*p**2 + y*p**2 - 110*p**2. What is g(r(v))?\nAnswer: -6*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1469052677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.02 - 0.32. Suppose 5*z = 4*b - 5*b + 78, -3*b + 3*z + 252 = 0. Let x = b + -81. What is the biggest value in x, i, -2\/13?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-206 + 209)\/(2\/(12\/(-5))). Let t be (-236)\/30*(-2)\/4. Let i = r + t. Is -1\/31 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 54 = -46. Let m = d + 61. Solve 4*b + 4*y + 28 = 0, -6*y + 3*y = -2*b + m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**2 - 6*g + 1. Let x be y(-6). Suppose 2*n = 17 - x. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 9*4\/12 - 0. Suppose 3*y + 3405 = -u*z, -1306 - 2094 = 3*y + 2*z. Find the common denominator of ((-8)\/(-20))\/(72\/y) and 113\/28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 4900981, 4900967, 4900953, 4900939?\n\"Answer: -14*u + 4900995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w*(w**10\/w)\/w*w\/w**23*w*(w*w**(-21)\/w)\/w*w*w\/w**(-36)*w assuming w is positive.\nAnswer: w**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 17\/15, 6, 2\/9, -2\/7, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27966791.\nAnswer: 27966791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3522\/10523 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -265 - -517\/2. Calculate the common denominator of y and (-64)\/130*10\/4.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 80127518 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -0*r + 3. Let x(m) = -2 + 0*m + 10*m + 0*m + 0. What are the prime factors of x(r)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -44308043972 and 101.\nAnswer: -44308043871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 323 + -318. Solve -u*g - 21 = -31, -3*v + 17 = 4*g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*b - 3 - 27 = 0. Let c be (-1978)\/(-8) - (b\/4)\/(-1). Let s = 476 - c. What are the prime factors of s?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 385*g**3*p*x**3 + 2*g**3*x**3 - g**3 + 5*g + 2*p**3*x**2 + 46*x**3 wrt p?\nAnswer: 385*g**3*x**3 + 6*p**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 28 + -5. Let a = -20 + s. Suppose -4*q + 3*z + 34 = 0, -2*z - 36 = -q - a*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 - 24*q**2 - 4*q + 92. Let j be l(24). Put j, 21, 2 in ascending order.\nAnswer: j, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11101 + 11000000101011?\nAnswer: 11000000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -29  (b) 4  (c) 6\/5  (d) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -6*(-182)\/(-5)*(-4)\/(-12). Let d = 4604 + -13594\/3. Let r = d + k. What is the nearest to 0 in 5, -0.12, r?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -2*p**2. Let d(z) = 12*z + 39*z - 70*z. Determine j(d(t)).\nAnswer: -722*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 2*d. Let p(v) = 8*v**2 - 3. Let b(x) = 231*x**2 - 88. Let g(i) = 3*b(i) - 88*p(i). What is g(t(j))?\nAnswer: -44*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1768507637, 1768507639, 1768507643, 1768507649, 1768507657, 1768507667?\n\"Answer: p**2 - p + 1768507637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 18\/5 of a millennium?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 24 - 19. Let p = -0.0232 - -0.0532. Which is the closest to p?  (a) v  (b) 1  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 12 - 20. Suppose -4*g - 2 = -6. Let v(a) = -5*a**3 + 2*a**2 - 1. Let w be v(g). Put i, -1, w in descending order.\nAnswer: -1, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 16 + -12. Let a be (0\/f + 0)\/1. Find the second derivative of a*w**4 - 2*w**4 - 3*w - 2*w - w wrt w.\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l = -4*a - 32, -4*l + 2*a + 0*a - 2 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/984 and (9345\/(-9348) - -1)\/((-11)\/(-8470)*10)?\nAnswer: 18696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 5*l - 1372, 15*k = 2*l + 10*k - 535. Calculate the highest common divisor of 99 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**2 - 2*p + 39. Let y be h(5). Let t(j) = -2*j - j - j**2 - 4 - 3*j. Let x be t(-4). Solve -5*a + x*k = 5, 0*a + 2*k + 4 = -y*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3.1 - 3. Let c = 1.1 - i. Let y be (-189)\/(-280)*-2 + (-33)\/(-5) + -6. What is the nearest to c in y, -0.2, -3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 + -111100100?\nAnswer: -111100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 4*t - 41 = 0, -t = -j + t + 29. Calculate the greatest common divisor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7817471 + -7817254.000412. Let i = -217 + s. What is i rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = 3*y + 50. Let j = 15 + y. List the prime factors of (6\/(-8))\/(j\/(-100)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30\/(-24) - -2)*(4\/1 + -44).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (48\/(-60) + (-132)\/(-40))\/(-10)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: a08 (base 13) to base 4\nAnswer: 122202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 264230678?\nAnswer: 2, 181, 729919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*w + 0*w**3 + 0*w**2 - 6*w + 67 + w**3 - 3 - w**2 - w**4 as q*w**3 + v*w + a*w**4 + f + b*w**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in 0.3, -3, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.3, -2, -0.019383, 3\/2?\nAnswer: -0.019383","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dsm when three letters picked without replacement from mmqsdmr.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25830761 is divided by 2302.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -85, -179, -271, -361, -449, -535?\n\"Answer: x**2 - 97*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 19 - 58\/3. Let p be (1 + 3\/(-1))*(-295 - -294). Suppose 3*r - 8*r = 0. Which is the smallest value?  (a) t  (b) p  (c) 5  (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + -3 - 1 - 2) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 251626110, 251626111, 251626112, 251626113, 251626114?\nAnswer: 251626115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 816\/14*(-187)\/(158576\/(-1484))\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 2*d + 41. Let w be t(-12). Let s = w + -13. Solve s*i + 0*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes before 9:28 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1217*h + 1398.\nAnswer: -1217","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 153 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -2*b**2 + 52*b - 80. Let q be r(24). What is the third derivative of -q*j**5 + 9*j**2 - 2*j**4 + j**2 - 8*j**2 - 50*j + 4*j**5 wrt j?\nAnswer: -720*j**2 - 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2 and (-2)\/(-6) + 1829\/93?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-4)\/5)\/((-6)\/(-165)). Let l = 32 + m. Suppose -4*n - 4 = 3*g + g, 4*n + g = -l. Let c(y) = -y**2 - 5*y - 4. What is c(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/5?  (a) -202  (b) 2\/7  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11, 15, 43, 73?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -124*a - 6. Let m be h(-5). Let o = m - 418. Suppose -6*s + 2*s = -o. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 13*s + 15. Let i be w(14). Suppose -4*q = 201 - i. Let n(u) = -39*u + 1. Calculate n(q).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61 = 14*n - 9. Let r(m) = -7*m - 4. Let d(y) = y - 4*y - 2 + 0*y - 3*y. Let k(a) = a. Let j(v) = -d(v) - 2*k(v). What is n*j(l) + 3*r(l)?\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 98 by 1123.\nAnswer: 98\/1123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y + x - 5, 2 = y + x - 3. Let m be (y\/(-9))\/(2 - 1) - -7. Solve m*j + 4 = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**2 + l + 2. Let s be d(-4). Suppose -4*j = -4*o, -4 = 5*o - s. Suppose 109 + 21 = j*p. What is the greatest common divisor of p and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.68 - 107.32. Let w = -108.03 - l. Is w != 0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, -0.29, 50, -9.87?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l - 1. Let v be s(-4). Let i be ((-263)\/789)\/((-8)\/75). Is i not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3445.\nAnswer: 5, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of -761105 and -1.\nAnswer: 761105","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u**2 + 10*u - 11. Let q be b(9). Let m(w) = w**2 + 3*w - 3. Let d be m(0). Let g be d + 1 - q - 3. Put -5, g, -2 in descending order.\nAnswer: -2, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -155\/1632 and 37\/134645712.\nAnswer: 269291424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4404 + 198172\/45. Let c = g - -109\/360. Is 2 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 91*c + 21. Let z(h) = 9*h + 2. Determine 2*g(a) - 21*z(a).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/(-10)*((-1020)\/(-136))\/((-12)\/(-52))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -79*r**2*z**3 + 117*r*z**3 - r*z**2 - 2*r wrt r?\nAnswer: -158*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 0 + -19 + 22 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43 is divided by 32.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the third derivative of g**8\/280 + 4*g**7\/75 + 11*g**6\/450 - 22*g**5\/225 + g**4\/20 + 126*g**2. Find i such that s(i) = 0.\nAnswer: -9, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uyc when three letters picked without replacement from yugyuiyygyiuyic?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.11?  (a) 6  (b) -5  (c) 3  (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9.819 - -0.019. Let d = c - -10. Sort -2, 1\/10, d in increasing order.\nAnswer: -2, 1\/10, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.4?  (a) -7  (b) 1.7  (c) 7\/3  (d) 4\/7  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 q and 1 f when four letters picked without replacement from {q: 3, p: 7, f: 8}?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:49 AM and 8:44 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 42 = -2*j. Let c(t) = t**3 - 13*t**2 - 11*t - 20. Let b be c(j). Suppose 5*u + 5*i - 5 = 0, 5*u - b = 2*i - 3. Solve 0 = u*p + 2*p - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) 5.2  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add 220965391 and -14.7.\nAnswer: 220965376.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3073 + 5089 = -112*x for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 9*c**2 - 4*c + 5. Let a(p) = -p**2 - p - 2. Determine 3*a(j) + f(j).\nAnswer: 6*j**2 - 7*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -247, -249, -251, -253?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - q + 7 = 0, -x + 3 = 7*q - 6*q. Suppose -r = -x*r + 633. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**3 + 6*w**2 - 5*w + 4. Let x be f(5). Suppose y = x*y - 15. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1698 + -1673. Calculate the smallest common multiple of 10 and v.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -3*c - 26. Let j be 12*(9\/c - -2). Solve -3*q + 0 = -j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*g + 2*g - 9*g**3 + g**2 + 7*g**3 to the form q*g**2 + o*g + y + u*g**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 778655784 to the power of 1\/2, to the nearest integer?\nAnswer: 27904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 7, c: 3, q: 1, d: 4, a: 1, z: 2}. Give prob of picking 2 h.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/((-4)\/(-1))*(-6)\/1)\/((-1764)\/2016)?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*m**5 - 4*m**5 - 5*m**5 + 0*m**5 + 4*m**2 wrt m.\nAnswer: -360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(288\/42 - 7). Solve 10*k + 4*x - 26 = q*k, k + 4*x = 22 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -446708 + 10727450 + 7215998 = 34*o. Round o to the nearest 1000.\nAnswer: 515000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.3, 1\/3, 238, -2\/15, 3\/11, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.68 + -0.2. Let r = 0.246 - 0.926. Let c = a + r. Sort -1\/4, -0.4, c in decreasing order.\nAnswer: c, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 11  (b) -2\/71  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 18\/(1 + 2) - 3. Suppose v*c = 15, 6 = -a + 2*c - 0*c. Suppose -34 - 94 = -4*l - k, a*l = 5*k + 152. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 5*c = -10*c + 6, 5*w - 4*c - 88 = 0. What is the greatest common divisor of 152 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 259 = -5*s, 157 = 3*s + 6*a - 2*a. Let r = -39 + s. Solve r - 32 = 4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 7, l: 2, f: 4, a: 1, m: 5, e: 1}. Give prob of picking 1 f and 1 j.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/44)\/((-2223)\/(-627))*6.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 0)\/((-289)\/(-867))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, p: 7, k: 2}. Give prob of sequence pk.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = v - 2*b - 2*b, 5*b = 2*v + 8. Factor -v*g**2 - 45*g**2 - 52*g + 6*g**3 - 88 - 2*g**3 + 91*g**2.\nAnswer: 4*(g - 2)*(g + 1)*(g + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.2, 252, 5, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -35, -47, -59, -71, -83?\n\"Answer: -12*o - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/15  (b) 4\/5  (c) 1  (d) 7\/2  (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 111101010101100001010 (base 2) to base 9\nAnswer: 3703014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.6 - -2.7. What is the closest to -0.1 in -1, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04 take away 6052?\nAnswer: -6051.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -155 in 3, -2\/9, 0, -14, 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000133151416 to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 30 = 4*t, -3*j - 3 = -t + 14. Put -0.3, j, 4, -15 in descending order.\nAnswer: 4, -0.3, j, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**2 + 11*w + 1. Let r(v) = -7*v + 2. Let s be r(2). Let x be f(s). Calculate the highest common factor of x and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -15608*o + 5 + 7805*o + 7801*o. Suppose i + 18 = 4*l, 3*i + 8 = 7*i. Let v(k) = -4*k + 11. What is l*b(s) - 2*v(s)?\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72*u = -14*u - 58 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 292682 is divided by 85?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 15) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -466165 - -696374. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 1833558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 22 + 21*u + 7 - 47 + 11 + 12. Let z(q) = -104*q - 26. Calculate -26*d(s) - 5*z(s).\nAnswer: -26*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 88 + -13101771?\nAnswer: -13101672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-64)\/96 - 968\/6. Let c = g - -164. Solve c = 3*m + 17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -6*v - 3*v - 345 + 355 + v**2. Let y be (98\/21)\/(1\/3). Let s = -7 + y. What is m(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, u: 2, g: 1, i: 1, m: 1, t: 1}. What is prob of sequence uiug?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1001 divided by 11.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.9 - 1. Let m = -0.9 + i. Which is the closest to 1?  (a) m  (b) -3\/8  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 159 - -36. Suppose 146*u - 141*u = y. Calculate the remainder when 115 is divided by u.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13 + -8. Suppose -x*j + 33 = 2*f, f + j - 30 = -6. Suppose -3 + f = r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(14)\/sqrt(2) - 1*sqrt(112)) + 2*-1*sqrt(700).\nAnswer: -23*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 258312881 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -5*a + 2. Let r be d(-9). Let m = r + -45. Suppose 5*q + 1091 = -3*f, 3*q = m*f - 0*q + 759. What is f rounded to the nearest ten?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the second derivative of 2*h**7\/21 - 2*h**6\/15 - 3*h**5\/5 + h**4\/3 + 4*h**3\/3 - 55*h. Factor g(n).\nAnswer: 4*n*(n - 2)*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 7*k**2 - 3*k + 2. Let r be m(2). Let l be r\/(-60) + 22\/5. Solve -2*n = l*b - 0*n + 2, -16 = 2*b - 4*n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2  (b) 4  (c) -1  (d) -0.3  (e) -171  (f) 9  (g) -6\/113\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**3 - q**2 + 3*q - 3. Let c be m(2). Let r(t) = t**3 - 5*t**2 + 4. Let a be r(5). Suppose -a = -2*n - 2. Solve -c + n = -3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1701 + 3222. Does 117 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, 1, 13, 2, 140 in descending order.\nAnswer: 140, 13, 8, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 137.2 - 139. Let g = -0.17 + 8.97. Let x = g + k. Which is bigger: x or 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**2 + 4*k + 6. Let w be b(-4). Suppose -4*f = -x + 10, -x + 3*x = f + w. Let t(l) = -l + 0*l + 0*l - 2 + x*l. Determine t(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 5 = -3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 - (-5 + 7))*14\/(-2). Let d(i) = 2*i - 21*i**3 + 18*i**3 + 2*i**3 + f - 5*i**2. Let r = -16 + 11. Determine d(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 12 = 13. Suppose 0 = 4*y - 4, 3*y + 277 = j*u - 0*y. What is the greatest common factor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 2 = 3*c. Is 274 + c\/(2\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 148 a factor of 248344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -37.14 - -37.124. Which is the smallest value?  (a) x  (b) 11\/2  (c) 2\/7  (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 4*s**2 + s + 2. What is the remainder when y(-4) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -52.11 in -0.3, -3, 0.3, -1, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1264 - -1263.7. What is the second smallest value in 0.6, 0.05, 2\/17, m?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*x + 0 + 1 + 16*x + 18*x as t + h*x and give h.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 0  (b) 0.025  (c) 4  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*b + 2072 = 45*b. Which is smaller: b or 149?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 + 5. Suppose 5*h + a = 2*h + 4*k, 18 = -h + 5*k. Suppose -12 = -0*o - 3*o. What is the least common multiple of h and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 x when three letters picked without replacement from {p: 1, e: 1, m: 2, x: 3, n: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 319990 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -10241225 + -145?\nAnswer: -10241414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g + 15. Let o be p(-11). Suppose 0 = -z - 2*y + 2, -z + 5*z = 2*y + 28. Calculate the common denominator of 15\/7 and 3\/z*101\/o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21)\/(75\/60*-6*(-4)\/(-20)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 9*c**3 - c**2 - 17*c - 4. Let s(t) = 4*t**3 - 8*t - 2. Let x(o) = 3*g(o) - 7*s(o). Let n be (2 - 0)\/((-6)\/(-144)). Let j = 44 - n. Give x(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(1620) + 3*sqrt(1620)))\/(sqrt(196) - 1*(sqrt(196)*1 - sqrt(196)) - sqrt(196) - sqrt(196)).\nAnswer: -144*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3.07 + 3. Let w = j - 0.03. Let m = -4 + 6. Which is the biggest value?  (a) -1  (b) m  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-13018)\/(-253) + 6\/11. Let u = -12 + 51. What is the greatest common factor of a and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 182*t**2 + 12*t - 17. Let n(y) = 183*y**2 + 11*y - 20. Let l(v) = -4*f(v) + 5*n(v). What are the prime factors of l(3)?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k + 4*i = -8, -2181 = 5*i - 2161 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**4\/11 + 82*q**3 - 3592*q**2\/11.\nAnswer: -q**2*(q - 898)*(q - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*u = 12*u - 6. Suppose -2*t = -3*v - 21, -3*v + 51 = 4*t - u*t. Calculate the remainder when t is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/10 + 10 + -9.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.6 - 0.7. Let v = -168 - -167. Which is the closest to -1?  (a) -2\/9  (b) s  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 8 = w - 5*w, -2*w = 4*v + 4. Let y(a) = -a + 1. Let g be y(w). Suppose j = -4*b + 313, -b = -g*b + 2*j + 144. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*f**2 + 38 - f**4 - f**4 + 2*f - 37 + 0*f**4 to x*f**2 + i + j*f + l*f**3 + p*f**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 32 and 77856?\nAnswer: 77856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -407, -301, -191, -77, 41?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*f + 3*s = -16*f + 7, 0 = f + 2*s - 14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 891*g*m**3 - g*m**2 + 25*m**3 + 36*m**2 - 442*m wrt m.\nAnswer: 5346*g + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -7*d**2 + 159*d + 200. Give l(24).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3275 is divided by 47.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 5, x: 5}. Give prob of picking 4 h.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4 or 180\/41?\nAnswer: 180\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bww when three letters picked without replacement from {x: 3, w: 4, b: 2, q: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 9*x**2 - 6. Let j(k) = 4 - k**2 - 3*k**2 - 4*k**2 + 1. Give 6*j(c) + 5*z(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(343) + sqrt(343) + 1)**2 + -3.\nAnswer: 28*sqrt(7) + 1370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-64*(-24)\/1344)\/(2\/(-14))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1810 = -5*p + 5*n, 5*n = -5*p + 2*n + 1786. Suppose -3*f - y + p = 0, 4*f - y + 2*y - 478 = 0. Suppose z - f = 30. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -3*r**3 + r**2 + 54. Let v be p(0). Let f be ((-2)\/15)\/(-6*(-2)\/v). Sort 1, f, -7.\nAnswer: -7, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62*m + 109*m + 73*m.\nAnswer: 120*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 + -1. Let d = 0.3 - v. Let n = -0.5 + d. Sort n, -2\/7, 2\/11 in descending order.\nAnswer: 2\/11, n, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -97 - 7*o - 5*o + 96 + 4*o - 5*o - o**2 + 8*o**3 in the form j + k*o**3 + h*o**2 + x*o and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 + -4. Let i(z) = z**3 + 9*z**2 - 2*z - 1. What is the units digit of i(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 820169, 1640293, 2460417, 3280541, 4100665, 4920789?\n\"Answer: 820124*m + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/7 and -69\/12806.\nAnswer: 89642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 90811800 by -804.\nAnswer: -112950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101011000010010110101 + 111011?\nAnswer: -101011000010001111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12.952 - 13. Let j = u + 0.0562. What is j rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -m - 16. Let n = 67 - 25. Suppose c = 5*c + 20, 4*c - n = -2*k. What is the remainder when k is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4*(-2)\/(-12)*(-14 - -8). Suppose -5*w + 2*s = -3*w + 12, -w = -5*s + 18. Put k, w, 3 in descending order.\nAnswer: 3, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (0 - -3) - (10 - 22)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1211179181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -62.836 - -0.586. Let i = -0.55 + s. Round i to the nearest integer.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12977 divided by -1?\nAnswer: 12977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(4) - -3*sqrt(4))*2)\/(-2*sqrt(288)))**2 + -1.\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 9 = 4*u + 4*y, -u - 5*y - 24 = 0. Factor -u + 1 + 3*w - 6*w + w**2.\nAnswer: w*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1523139367?\nAnswer: 1451, 1049717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**2\/d*d*d**(-1\/27))\/(d\/(d**(-4\/9)*d))**(2\/27) assuming d is positive.\nAnswer: d**(469\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the first derivative of -5405*a**4\/4 - 5557*a**3\/3 + 179. Find the third derivative of w(f) wrt f.\nAnswer: -32430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the first derivative of 30*s - 18 + 25\/2*s**2. Let a be i(6). What is the highest common divisor of 20 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 10) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-14)\/l)**(-1\/81)\/(l**17*l*l\/((l\/(l**(-11)\/l))\/l)))**(-14) assuming l is positive.\nAnswer: l**(2576\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -10 + 1 + 2 + 7. Which is bigger: k or 2\/1279?\nAnswer: 2\/1279","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-seven halves of a decade in years?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -392*f + 3263. Suppose 11 + 4 = 5*v, 0 = -5*i + 3*v + 71. Calculate the remainder when t(8) is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-10)\/(-10))\/(41\/11). Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1671 is divided by 614.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 671194.8kg to nanograms.\nAnswer: 671194800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-92)\/(-348) - (-4)\/58. Are j and 115 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 95474273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(200)*1)**2 + 2 + ((sqrt(200) - (sqrt(200) + sqrt(200) + 1 + 5)) + 0)**2.\nAnswer: 120*sqrt(2) + 440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**2 - 10*g + 13. Let m be c(-14). Let o = m + 24. Let l = o + 19. Are -2\/77 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1080 divided by 270.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -3*y - 3. Let c(o) = 4 + o + 0*o + o. Calculate the smallest common multiple of 3 and c(y).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/27 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the second derivative of 5*q**7\/42 + q**6\/3 - q**5\/4 - 5*q**4\/6 - 25*q. Factor o(c).\nAnswer: 5*c**2*(c - 1)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-157 + 30 - 58)*(6 - 3 - 2)*(-1 + 1 + l + (-2*l + l + 3*l)*(-1 + 1 - 2)) as b + o*l and give o.\nAnswer: 555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 2*a. Let q(b) = -21119*b**2 - 1. Give q(r(j)).\nAnswer: -84476*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 509*b - 224. Let u be f(20). Is 9957 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 144*m + 49*m = 579 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2132 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3522  (b) 0.2  (c) -4\/5  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 30 = -0*a. Calculate the least common multiple of (-16)\/((2\/(-7))\/(35\/245)) and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(25)\/(sqrt(5) + 2*sqrt(5)*-2) + ((1 + sqrt(45))*-6)**2.\nAnswer: 647*sqrt(5)\/3 + 1653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35 is divided by 34.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 3*r**3 - 151*r - 979. What is c(0)?\nAnswer: -979","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-9)\/12)\/((-15)\/56))\/(4466\/580).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wggwwwwggwwwwgww. Give prob of picking 1 w and 2 g.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1368 is divided by 667?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 321411 (base 5) to base 9.\nAnswer: 15802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18500 and 388500?\nAnswer: 388500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 205363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, -44, 0.21, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 63\/236 and 25\/10048?\nAnswer: 592832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k + 14*k - 150. Suppose -1 = 2*u - u - s, -k = -3*s. Suppose -3*n + 3495 = -u*g - 1528, -4*n + 6694 = -2*g. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Round -5704393 to the nearest 100000.\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 4 + (0 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 303972497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 64 + -60.96. Let g = -0.04 + t. Which is the nearest to -0.1?  (a) -4\/5  (b) 1  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 119 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 14\/350*(-3 - -1)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((-18)\/(-4) + -2)*(-22 - 2464\/(-110))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1 from -30193544435.\nAnswer: -30193544436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -4  (b) -0.9  (c) 26  (d) -98  (e) 1\/5  (f) -0.421\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**3 - 9*f**2 - 3*f + 41. Calculate u(-6).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -27, 4, -3, -1, 1\/3, -1600, -5 in descending order.\nAnswer: 4, 1\/3, -1, -3, -5, -27, -1600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1840 divided by -230?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1 + 232?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j**2. Let g(s) be the third derivative of s**4\/8 + 12*s**2. What is g(o(n))?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -35?  (a) -0.01  (b) -3  (c) -0.2  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(1\/5)\/q)\/q**(1\/2)*(q**(-1\/2)\/q)**(1\/34)*(q*q**(-1\/5)*q*q\/(q*q**(-6))*q*q)**(5\/3) assuming q is positive.\nAnswer: q**(15289\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of -122966 and 1.4.\nAnswer: -172152.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -622*v**2 - 11*v - 16. Let b(q) = -623*q**2 - 11*q - 14. Let i(l) = -3*b(l) + 2*x(l). List the prime factors of i(-1).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -111\/22 and 131\/1056090?\nAnswer: 11616990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**2 + 23*g + 3. Let y be k(-10). Let l = y + 272. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-4))\/(29\/(-522)*-9)*3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the third derivative of g**4\/8 - 99*g**2 - 12*g. Let z(o) = 1419*o**2. Determine x(z(c)).\nAnswer: 4257*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70507 + 43363 = -62*l + 494028. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1353085 and 10469.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -125 or -120?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) 23  (b) 0.1  (c) 2\/89  (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + (-11 - (-15 - 4) - (1 - -5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 466926587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5.06 - -5. Sort v, 2\/15, 1 in descending order.\nAnswer: 1, 2\/15, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -2*p**2 + 3*p + 8958. Let r(i) = i**2. Determine k(r(y)).\nAnswer: -2*y**4 + 3*y**2 + 8958","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55*f + 29*f + 39*f.\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*w + 5 = 149 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 192116984?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 + 6)*488\/976 - (0 + -16 - 1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhhehhyhhhhyyhehhh. What is prob of sequence he?\nAnswer: 13\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 291.6078 - 0.4\nAnswer: 291.2078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 43439 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -6*a**2 + 14*a + 21. Let f(p) = 18*p**2 - 41*p - 61. Let m(i) = 6*f(i) + 17*u(i). Let o(h) = -2*h**2 + 3*h + 3. Give 3*m(d) + 8*o(d).\nAnswer: 2*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 26 - 27)*(u + 4*u + u)*(9*u - u + 6*u + (3 - 3 + 2)*(0*u - 2*u + 0*u)) in the form y + m*u**2 + x*u and give m.\nAnswer: -3360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 44312*n**2 + 2*n + 548681?\nAnswer: 88624*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2100) + 2*sqrt(2100))*5)\/((sqrt(847) + (sqrt(847) + sqrt(847)*3)*1 + sqrt(847) - sqrt(847)) + sqrt(847)).\nAnswer: 25*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 93*l + 382. Give y(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 18*y - 12. Let x(m) = 3*m - 2. Let t(w) = 6*r(w) - 39*x(w). What is the derivative of t(o) wrt o?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the second derivative of -67*d - 1\/36*d**4 - 5\/6*d**2 + 0 - 1\/3*d**3. Factor x(o).\nAnswer: -(o + 1)*(o + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 11 = 4*o. Let f(r) be the first derivative of 1\/2*r**3 - 3\/4*r**2 - 1\/8*r**o + 2 + 1\/2*r. Find x, given that f(x) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**2 + 376712*x - 6404682.\nAnswer: 2*(x - 17)*(x + 188373)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10599181*k**2*p**2 + 4826556*p**2 wrt k.\nAnswer: -21198362*k*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 730 + 80 = 0. What is the units digit of i + 5 + 0 - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2139\/31*21\/21.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 69519328.\nAnswer: 1\/17379832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 22 = 4*l, 2*l + 5*w + 54 = 70. Solve -2*y - 3*s = 13, -l*y + s + 13 = -s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -37782.4 minus -1.5?\nAnswer: -37780.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**1\/(h*h**8\/h*h)*h**5\/(h*h\/h**(-1\/6)*h)*h**(-4\/5)\/h*h**4*((h*h\/(h\/h**(-1\/2))*h)\/h)\/(h*h**(8\/5)) assuming h is positive.\nAnswer: h**(-91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -32\/7 and -59\/519.\nAnswer: 3633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -31 in -21, -0.4, -2\/983, -0.1, -3, 2\/3?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 4 = -0. Let q(x) = 4*x**2 - x - 1. Let y be q(k). What is the second derivative of y - 4 + 9*d - 6*d + d**2 wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.6165 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k - 8. Let i be l(-11). Suppose 0*h = -3*h + 15, -i*b - 4*h + 20 = 0. Suppose 5*z - 3*r - 1103 = b, -3*r + 8 + 4 = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g + 6. Let x be d(7). Let j = 30.72 + -2.72. Let v = -28.1 + j. Put -3\/19, x, -0.4, v in decreasing order.\nAnswer: v, -3\/19, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 132728 from 238602662.\nAnswer: 238469934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 60 = 4*k, 134 = 5*y + 2*k + 24. What is the highest common factor of 20 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times 4244\nAnswer: 1273.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 2*t - 32 - 15, 4*t = 5*h + 79. Let m be (2 + (-1 - 1))\/(-2). What is the remainder when t is divided by 14\/1 + m\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -4*w**2 - 7*w + 12. Give r(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22598, -90390, -203376, -361556?\nAnswer: -564930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12473, 11914, 11359, 10808, 10261?\nAnswer: 9718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-346)\/(-519))\/(20\/(-270))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*l**2 - 10543*l + 10543*l + 24*l**2 - 41*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 57474018 to the nearest integer?\nAnswer: 7581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -4*t**3 - 3*t**2 - 4*t - 1. Calculate k(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 161 and 8?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9025 = -43*j + 28127. What is the remainder when j is divided by 97?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the second derivative of -u**5\/20 - u**4\/12 + u**3\/2 + u. Let n(m) be the second derivative of w(m). List the prime factors of n(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -3*d**5\/5 - 546*d**4\/5 - 5247*d**3\/5 - 3012*d**2 - 16548*d\/5 - 6192\/5 = 0.\nAnswer: -172, -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1814 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the second derivative of t**3\/6 - t**2 + 8*t. Let s be i(5). Suppose -10*g = -s*g - 112. Calculate the least common multiple of g and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 32706636?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 215843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 86 + -80 + (1 - -5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 43458b (base 15) to base 5.\nAnswer: 1310013011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.37 + -1.31. What is the nearest to 0 in 5, 1\/2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -77, -93, -135, -215, -345?\n\"Answer: -2*r**3 - r**2 + r - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -4*t + 620, -5*t + 4*b - 3*b + 791 = 0. Let l = -1111\/7 + t. Suppose -f + 4*a + 2 = 0, a = 2*f - 6*f + 8. What is the nearest to 0 in -0.3, f, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 5, q: 4, n: 10}. Give prob of sequence qhqh.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**3 - 3*r**2 + r + 3. Let q be b(-3). Suppose -5*f - 19 - 241 = q. List the prime factors of (f - (-1 - -2))\/(-1).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 549486?\nAnswer: 2, 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 16, 4, 0.1, 2\/15, 3, -243640?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 485*j + 22 = -481*j, 0 = 5*r - 4*j + 30 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3241 and 2315.\nAnswer: 16205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 178 + -174. Suppose 0 = -l*n + 1 + 3. Solve t + z = -2*z - n, -t - 9 = -5*z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 55757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -190*t = -184*t + 30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the second derivative of c**3\/6 - 3*c**2 + 10*c. Let w be i(6). Solve -4*u + 2 - 22 = w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2256\/7945 - 2\/1135. What is the nearest to f in -4, 5, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 2 = 6*w. Suppose -i - 5 = 0, 5*k - w*i + 10 = -5*i. Let l be 1\/7*-4 + k. Which is the second smallest value?  (a) l  (b) -0.5  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54002 times 0.51?\nAnswer: 27541.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -750901 + 1084\nAnswer: -749817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 0 - 4*w**4 + 24*w**5 - 5*w**2 - 29\/2*w**3 - 1\/2*w = 0. What is w?\nAnswer: -1\/3, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -299 by -13.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2386 is divided by 2336.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -582375 divided by -5\nAnswer: 116475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 99064886?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -a*d**3 - 26596*a*d**2 - 45813*d**3 with respect to a.\nAnswer: -d**3 - 26596*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gns when three letters picked without replacement from inwnsgnigsgiws.\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*k = 5*k - 5*k + 120 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -2993359.88 to the nearest one thousand.\nAnswer: -2993000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 86727 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**2 - 5*p + 6. Let r be n(-6). Let t(c) = -445*c + 10 + 222*c + 222*c - 3*c**2 + 4*c**2. Determine t(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16 - -15.4. Let j = f - 0.4. Sort 0.4, 0.1, j in descending order.\nAnswer: 0.4, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - l + 10, 4*r - 14 = 4*l + 26. Suppose r + 5 = 5*i. Solve -q = i*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 708 - 635. Suppose -j*p + 64*p + 4185 = 0. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*r + 19*r - 15*r = 1056 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -3*i**3 + 3084*i**2 - 776943*i - 8080830 = 0.\nAnswer: -10, 519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*x + 41*x + 396 = 0. What are the prime factors of x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 41 + (-4 - (-10 + -4 - (-19 - 0)) - -20)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -5*p + 2. Let g(w) = -w - 1. Let o(u) = -3*g(u) + n(u). Let x be o(5). Which is the second biggest value?  (a) -2  (b) 1  (c) 5  (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(4\/5))**18*d**(4\/5)\/d**(-1) assuming d is positive.\nAnswer: d**(81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -10120223 (base 4) to base 7\nAnswer: -103241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**2 + 6*y - 17. Let x be (-6)\/(-33) - (128\/(-22) + 2). Let p be l(x). Calculate the highest common divisor of 184 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 78\/(-351) - ((-281)\/9 + 1). Solve o - p = 7*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 97, 311, 669, 1171?\nAnswer: 1817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-477*h + 33*h**2 + 477*h)*(-4*h**2 + 2*h**2 + h**2) - 51*h + 51*h + 10*h**4.\nAnswer: -23*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -127617756 divided by 4?\nAnswer: -31904439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*r + 4, -4*r = -3*j - 11. Let q = 126 + -121. Suppose 4*x + 1 = 5*b - 11, -q*x + 30 = 5*b. Put b, j, 1 in ascending order.\nAnswer: j, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -b**2*d**2 - 88532*b**2*d - 64*b**2 - b*d**2 - b*d - 57*d**2 - d + 152845 wrt b.\nAnswer: -2*d**2 - 177064*d - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gzj when three letters picked without replacement from gqzkzqj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 328*f**2 - f - 10. Let s(r) = -328*r**2 + r + 11. Let g = -21 - -15. Let i(m) = g*c(m) - 5*s(m). Let t be i(-5). Round t to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3925, 5391, 9401, 17227, 30141, 49415?\nAnswer: 76321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10 + -3. Let a = 13.1 + i. Is 0.1 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4\/10 - 151\/15) + 10. Let k be ((-108)\/7)\/6 + 3. What is the fourth biggest value in -4, z, -2, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -610 + 625. What is the greatest common factor of b and 1095?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 + 1 - 5 - 5*d + (-2*d + 0 + 0)*(1 - 1 + 1) - 4*d - 2 + 2 as a*d + f and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 44 + -40. Suppose -u + 3 = -g*a, -4*a - 3*u = 2*u + 33. Calculate the remainder when 109 is divided by 2 + (-2)\/a + 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -41*c + 6 - 4*c**2 + 19*c + 19*c. Let z(a) = a**2 - 1. Give -g(q) - 6*z(q).\nAnswer: -2*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -146739 less than -146762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 39*a**2 - 3*a - 2. What is v(2)?\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 2*l - 7. Let k(z) = 5*z - 19. Let s(m) = 14*m - 57. Let u(t) = 17*k(t) - 6*s(t). Calculate the least common multiple of l and u(-11).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(648)*4 - 3*(sqrt(648) - (sqrt(648) - sqrt(648)*1))**2)*-1.\nAnswer: -72*sqrt(2) + 1939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add together 11.46 and -1151.\nAnswer: -1139.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 11525670 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: In base 4, what is -1 - -1301313221203?\nAnswer: 1301313221202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = 4*s - 4, 5*i + 31 = -2*s + 6*s. Let t be 1\/(-5) + (-3)\/(-15). Solve t = 3*h - 7*h + 16, 0 = s*x + 4*h - 32 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1380)\/(-57) - 948\/4503.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-2)\/3)\/((-8)\/(-264)). Suppose -34 = -b + 3*b. Let t = b - l. Solve 0*h - 26 = -h - 5*x, t*x = -3*h + 28 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 3 = -1. Suppose -5*j + 122 = -3*l, -5*j - b*l + 3*l + 124 = 0. Solve -5*o = -j, 2*o - 13 = g - 0*o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 69083813 a multiple of 840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2450)\/(-8190) + (-3)\/39 - (-8)\/(-117). Which is the third smallest value?  (a) -1  (b) -8.6  (c) 0.2  (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -63 - -102. Let t = j - 118\/3. Let p be -1 + 4\/6 + 0. Which is the closest to p?  (a) t  (b) -2  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -140000 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 493086 or 0.4?\nAnswer: 493086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes after 11:59 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1130 and 56048.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*p**3*w + 4163*p**3 - p**2*w - 111*p**2 + 24*p*w wrt p.\nAnswer: -12*w + 24978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 3*p = -7, 2*p = -2*d + 2 - 0. Suppose -d*f - 3 = 13. Suppose -5*h + 15 = -10. Put h, -2, f in ascending order.\nAnswer: f, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-22)\/(-10) + (-3)\/15. Let k(r) be the first derivative of 1\/2*r**4 - 2\/5*r**5 + 2\/3*r**3 + 0*r + 0*r**m - 1\/3*r**6 + 1. Let k(h) = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64*g + 203*g - 9*g + 4644 = 0 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.28372037 to three dps.\nAnswer: 7.284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 11903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*p + 229*p - 54*p + 9344 = -8044 for p.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2019 and 205.\nAnswer: -1814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 - 4. Let k = 13098 - 235763\/18. What is the smallest value in p, k, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the second derivative of -491*i**7\/14 + 632*i**3\/3 + i**2 - 52*i - 14. What is the second derivative of h(f) wrt f?\nAnswer: -29460*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2144?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**2 - 6*m - 12. Suppose 1079*g = 1085*g + 36. Give u(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 123 by -3.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -73710 (base 8) to base 2.\nAnswer: -111011111001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3421 or -3424?\nAnswer: -3424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 1 v, and 1 a when three letters picked without replacement from {a: 3, e: 2, k: 1, v: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**3 + 2*x**2 - 10*x - 37. Determine y(9).\nAnswer: 764","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n + 2*n - 3*n + 0*n. Suppose 3*j + 3 = 81. Suppose 5*r - 5 + j = -c, -c - 4*r - 17 = 0. Give g(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 428*c**3 - 353*c**2 - 4430010.\nAnswer: 1284*c**2 - 706*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*q = -28*q - 8. Find the common denominator of (48 - 32) + 2\/q*1 and -53\/35.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 51, -1\/5, -3, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 107 - 115. Let c(a) = a**3 + 7*a**2 - 8*a + 18. Is 9 a factor of c(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 12*x - 64 = 0, -64 = a + 4*x - 87 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from chlpcccpm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16 - 10. Let n = -6 + z. Suppose -77980 = -3*x + 5*u, 5*u - u - 16 = n. Round x to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n = -q, 2*n - 38 + 198 = 3*q + 37 + 37 + 37 + 44 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(175) + 0)**2 - (sqrt(14)\/sqrt(2) + 1)) + (3 + (sqrt(343) - (sqrt(343) + 3)))*-4)*1.\nAnswer: -sqrt(7) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 42, 480, 1672, 3996, 7830?\nAnswer: 13552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -27*k**2 - 1709*k + 4. Let b(p) = 74*p**2 + 5128*p - 11. What is 4*b(r) + 11*l(r)?\nAnswer: -r**2 + 1713*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -353*n + 724. What is q(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h - 21*h - 25*h)*(h + 0*h + 0*h)*(2 + 4*h**2 - 4*h**2 + 2*h**3).\nAnswer: -90*h**5 - 90*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (8 + 77\/(-165)*5).\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a - 1. Let i be y(6). Suppose -25 + i = -5*p. Suppose -p*o - 447 = -7*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - 1.95. Let o = d - -4.95. Let i be 3 - (-2 - -5 - 1). Sort i, o, 4 in decreasing order.\nAnswer: o, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 25 (base 6) to base 4\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -350, -350, -360, -386, -434?\nAnswer: -510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.19 + -0.39. What is the nearest to 2\/7 in -5, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 + 23. Let j = 259 - 244. Calculate the greatest common divisor of s and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 108 + -101. Which is the closest to 0?  (a) n  (b) 3  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 1.073098 decades?\nAnswer: 0.1073098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0157970613 to 4 decimal places.\nAnswer: 0.0158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6\/(-3) + 5 + 0. List the prime factors of (1 - (t - 1))\/(4\/(-444)).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -96 + 94. Let p(f) = 3*f + 1. Calculate p(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(1\/4)*k*k**2*k*(k*((k*k**(-1\/2))\/k)\/k)**10 assuming k is positive.\nAnswer: k**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(396))**2 + 3 + 1 + sqrt(11) + 6*(-1 + sqrt(891))**2.\nAnswer: -107*sqrt(11) + 5752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange j**2 + 82 - j**3 - 81 + 2*j**3 to the form h*j**3 + m*j + s + z*j**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14 - 9. Which is the nearest to 1?  (a) 1  (b) -5  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -4*n**3 - 5*n**2 + 7*n - 2. Let v(m) = 11*m**3 + 15*m**2 - 21*m + 5. Let k(t) = 3*v(t) + 8*z(t). Give k(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*i - 30*i + 15 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 37466165339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i - 8*i + 3*a + 21, -a - 5 = -i. Suppose -i*r = 22 + 2. What is the tens digit of (r\/(-12))\/(2\/60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -57.12 - -57. What is z rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1080 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n**5 - 5175*n**4 - 509890*n**3 + 2710800*n**2 + 3215520*n = 0. What is n?\nAnswer: -924, -116, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 292972 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 842 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b. Let u(q) be the third derivative of -q**7\/1680 - q**5\/20 - q**2. Let d(f) be the third derivative of u(f). What is d(l(r))?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1053760350.3 rounded to the nearest one million?\nAnswer: 1054000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**2 - y - 1. Suppose -2*m + 5 - 1 = 0. Let i(v) = 0 + 2 - 7*v**m + 1 + 2 + 3*v. Give -5*f(u) - i(u).\nAnswer: 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r - 7. Let h be v(-5). Let b(l) = l**3 - 6*l**2 - l + 4. Let m be b(6). Is m greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -7*t + 1. Let n(s) be the third derivative of s**4\/12 + 58*s**2. Let d(i) = -4*n(i) - z(i). Let h(c) = c + 3. Give -6*d(x) - 2*h(x).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 68247025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20 - -10. What is the units digit of (24\/n)\/(9\/(-30))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 + -24 + (-23 - -29) + 12.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 5998 = a, 4*a + 2*j = 11337 + 12661. Suppose 3*h - 2810 = 2*m - 410, -5*m = h + a. Round m to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 2*z**2. Let u(t) = 38108*t. Calculate u(m(q)).\nAnswer: 76216*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*r**4 - 1 - r**3 + 2*r**3 + 4*r - 3*r to the form t + s*r**4 + j*r + n*r**3 + k*r**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 8*c**3 + 2*c**2 - 18*c + 17. Give j(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 0*x + 3*s = 10596, -2*x + s + 7079 = 0. List the prime factors of x.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.175 + 85.825. Let j = -86.69 + w. What is j rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-27 - -20) + (-5 - (5 + -5)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 2*t**2 + 3*t - 4. Let y be 154\/6 - (-36)\/(-54). Suppose -52*g = -28*g - y*g. Let p be (-1)\/3*(g + 9). Give d(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*c**2 + 2*c**2 + 5*c**2)*(-2*c + 2*c - c**3) + 6*c**5 + 3*c**5 - 4*c**5 + (c**4 + 0*c**3 + 0*c**3)*(-3*c + 1 - 1).\nAnswer: c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4526279 is divided by 1782.\nAnswer: 1781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 9*a**2*m + 3*a**2 - 3*a*m + 51*a - 37*m - 1 wrt m?\nAnswer: 9*a**2 - 3*a - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2d (base 15) to base 10\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the second derivative of -11*x**5\/120 - x**4\/24 + x**3\/3 + 3*x. Let w(l) be the second derivative of t(l). Is w(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (0 - 2) - (-83 + (-73 - -91)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -33 - (6 - -12 - (88 - 83))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75*d - 69*d + 39*d + 16413915 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4 - (0 + 2)) + (-28 - -23)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 16 = 2*h, 2*u = -0*u + 3*h + 2. Let y(m) = 3*m + 19*m**3 - 8 + 9*m**2 - 20*m**3 - 13*m**2. Let p be y(-5). Solve c = -u + p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2 + 4 + (-156108)\/(-22). Let c = q - 7093. Find the common denominator of ((-1)\/(-56)*4)\/(1\/90) and c.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83*h = -2*w + 87*h + 28, 0 = 2*w + 4*h + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d - d**3 - 2*d + (-5 - 2*d + 5)*(d**2 - 3*d**2 + 4*d**2) - d**3 + d**2 - d**2)*(-d + 28*d - 5*d).\nAnswer: -132*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -2\/19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -75333 smaller than -74743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -36 + (27 + -25 + 57 - 38)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (4 + -67 + 29 - -9) + -13 + 1\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 231 + 9*s + 238 - 469.\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 352\/217981 not equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 381 and -0.1?\nAnswer: -38.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the first derivative of 12 + 4*r**4 - 32*r**2 - 16*r + 4\/3*r**3. Suppose t(y) = 0. What is y?\nAnswer: -2, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 127, 189, 257, 331?\n\"Answer: 3*n**2 + 53*n + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 110, 219, 328?\n\"Answer: 109*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/6  (b) 0.05  (c) -1\/2  (d) -2\/19  (e) 6\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -c47 (base 16) in base 8?\nAnswer: -6107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6043703?\nAnswer: 2213, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 13749830 to the nearest 100000.\nAnswer: 13700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18813, -75208, -169197, -300780, -469957, -676728, -921093?\nAnswer: -1203052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - o = 7*h + 278, 3*h + 160 = -4*o. Let g = -10 - h. Is g + -5 + (-6)\/2 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 957589542?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 - 0.86?\nAnswer: -1.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -8 + -14666?\nAnswer: -14675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1707038 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 11353594961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 191593901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5774 + -3079. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10465892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*d - 25 = -57. Suppose d*x = 3*h - 267 - 125, -140 = -h - 4*x. What is the highest common divisor of 297 and h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11211020220221 (base 3) in base 14?\nAnswer: 4aa4b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/3 + 2)\/((-6)\/(-18))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1  (b) 2\/3  (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 10*x + 239. Let d be h(-17). Which is smaller: 75 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 2250471480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = -10*r + 18*r. Calculate the remainder when r is divided by 7 + -5 - (-4)\/8*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 421, 208, 7, -5 in increasing order.\nAnswer: -5, 0, 7, 208, 421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from xxrxrdxqx.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c**3 + 1\/3*c**4 - c**2 + 0 + 2\/3*c = 0. What is c?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/96)\/((-1)\/(-2))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -185+213449.573\nAnswer: 213264.573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -2*p**3 + 6*p**2 - 5*p + 5. Let z = 14 - 12. Let l(d) = -4*d + 6 - d**2 + 6*d**2 - 2*d**3 - z + 0. Calculate -5*l(m) + 4*t(m).\nAnswer: 2*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 2 = m. Suppose -16 = m*i + 22. Let v = i + 36. List the prime factors of v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 0 to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g**5 - 914*g**4 - 92398*g**3 + 2742386*g**2 - 19376400*g + 16727328 = 0 for g.\nAnswer: -241, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r\/(r**(-13)*r)*r**(-1\/14)\/r*r*((r*r\/(r*r**11*r))\/r)\/(r\/(r\/r**(-4\/9))) assuming r is positive.\nAnswer: r**(173\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 40*w - 42*w - 3, -5*k + 15 = -2*w. Factor -56\/5*h**k + 4\/5 - 12\/5*h**5 + 4\/5*h - 24\/5*h**2 - 44\/5*h**4.\nAnswer: -4*(h + 1)**4*(3*h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4180938 is divided by 542.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 428 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -26296\/26331 or -1?\nAnswer: -26296\/26331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -0.4, -2, -1\/115.\nAnswer: -2, -0.4, -1\/115, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9454 + 28285. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**3 - 3*l**2 - 3 - 3*l**3 + 3*l**3. Let n(t) = t**3 + 39*t**2 - 2*t - 81. Let a be n(-39). Calculate g(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the third derivative of -v**6\/40 - 2*v**5\/5 - 17*v**4\/8 - 5*v**3 + 8*v**2. Suppose r(b) = 0. What is b?\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/t**(-1\/2)*t\/t**(3\/7)*(((t**5*t)\/t)\/t)\/t*t*(t**(-4)*t*t)\/t*t*t*((t*t\/(t\/(t\/(((t\/t**(-6)*t)\/t)\/t))))\/t**(-3\/4))\/(t**6\/t**1) assuming t is positive.\nAnswer: t**(-89\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mubm when four letters picked without replacement from {u: 1, n: 6, b: 1, m: 3, z: 2}?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1.12 and 11732735652.81?\nAnswer: 11732735651.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the second derivative of -32*w**3\/3 - 76*w. Let a(r) be the first derivative of -r**3 + 39. Give s(a(c)).\nAnswer: 192*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**2 + 2*n - 9. What is l(-11)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (1 + -2 - (10 - 16)) + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9 (base 15) to base 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*n**3 - 3*n**3 + n**3 + n**3 + 5*n**3 - 4*n**3 + (n + 0*n + 0*n)*(2*n**2 + n**2 - 2*n**2) - n**3 + 0*n**3 + 2*n**3 + 0*n**3 + 3*n**3 - 5*n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mwewqmllumqeww. Give prob of picking 1 l and 1 m.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1275.826266 and -4.\nAnswer: 5103.305064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*o + 16536 = 110*o. Solve -45*s - 48 = o for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n - 4 + 2, -3*l + 1759 = -n. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000067802 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 65.52217 millimeters?\nAnswer: 65522170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67 = m + 55. What is the remainder when m is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 2, s: 3, b: 9, e: 4, c: 1}. Give prob of sequence wbb.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1834160 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -6, 6.\nAnswer: -6, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 15065870 to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3383583ml to litres.\nAnswer: 0.0003383583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d*d**8*d*(d*d**(-2\/17))\/d)\/(d**(-4\/21))**(-20\/3) assuming d is positive.\nAnswer: d**(10295\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 5 times 282.19\nAnswer: 1410.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-9)\/15 - (-13)\/5. Let h = -8 - -11. Solve h + o = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 66 and 17 + -15 + 5 - -563.\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k - 2*k + 4*r - 20 = 0, 5*r - 16 = 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.006 - 26.994. Let v = i - -26.6. Let o = -23 + 31. Which is the biggest value?  (a) o  (b) v  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -197 = -6*a - 47. List the prime factors of a - 24 - 6\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*c**2 + 0*c**2 + c**2)*((-4 + 4 + c)*(-2*c + 4 - 4) + 41*c**2 + 5 - 37*c**2 - 64*c - 6) as h*c**2 + u*c**4 + r + x*c + o*c**3 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(156)*-1 - sqrt(156) - sqrt(156))*2)\/(sqrt(48)*-3 - sqrt(48)) + -4.\nAnswer: -4 + 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*s + 13*s + 50 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -42e (base 16) to base 13.\nAnswer: -644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2.731437241 and 96.\nAnswer: 98.731437241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:54 PM and 8:38 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -18 + 73. What are the prime factors of o?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the third derivative of -103*u**8\/168 + 19*u**4\/12 - 126*u**2. Find the second derivative of b(c) wrt c.\nAnswer: -4120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -7*v + 52. Let t(a) = -2*a - 1. Give 6*t(n) - 2*x(n).\nAnswer: 2*n - 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18926*p - 53792 = -18270*p for p.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*j**3\/4 - 2043*j**2\/4 + 130869*j\/4 + 411075\/4.\nAnswer: 3*(j - 609)*(j - 75)*(j + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 87\/27 + (-4)\/18. Let r be (x\/(-9))\/(3\/(-18)). Suppose -2*j = -3*j - 2*q + 41, -r*j + q + 57 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 9*c**2 - 26*c - 2. Let p(d) = -3*d**3 - 37*d**2 + 104*d + 9. Calculate -9*a(g) - 2*p(g).\nAnswer: 6*g**3 - 7*g**2 + 26*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2205?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -2*g**2 + 3*g + 4. Give z(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -143496*h**4 - 14*h**3 + 2*h**2*l - 3*h**2 - 7867*h - l + 4718 wrt h?\nAnswer: -1721952*h**2 - 84*h + 4*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2027 times 51.4099?\nAnswer: 104207.8673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18 + 27. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes after 10:33 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 4 = -p, -59 = -3*r + 2*p. What is the smallest common multiple of (4 - 0)*(14 + 0) and r?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (29\/261)\/(1\/45). Solve 3*a - 10 = -h + 8, 3*a = o*h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 12*p + 1. Let j(r) = -236*r - 108. What is -j(k) - 20*w(k)?\nAnswer: -4*k + 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 - -1) + (-2)\/(-1). Suppose 84*u = 80*u. Solve -v + q + 5 = -0*q, -3*v - s*q - 5 = u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the first derivative of 96*b**2 + 1016. Let j(r) be the second derivative of r**4\/12 + 13*r. Give t(j(f)).\nAnswer: 192*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + (4 - (-8 + (-14 - -7) + 26))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -58*l + 14812*l**2 + 58*l.\nAnswer: 14812*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 - -322. Suppose w*i = 341*i - 153. Solve 5*c = -8 - i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence boc when three letters picked without replacement from occaaouaozabboa.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 323, -9 in descending order.\nAnswer: 323, 4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -11*m**3 + 2*m + 1. Let b be d(-1). What is the greatest common factor of 4 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15378403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 170840141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -4*a - 5*l, -4*a + 2*l + 21 = -3*l. Suppose 5*t + 36492 = -2*p, t - a*p = 4216 - 11532. Round t to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84 = 37*j + 212 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2041725, -2041674, -2041611, -2041530, -2041425?\nAnswer: -2041290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -152*o = -126*o + 78 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 15*g + 3. Calculate x(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 27*p = -15950. Calculate the highest common factor of p and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 166374948.\nAnswer: 2, 3, 79, 223, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/2692075 and 73\/94275?\nAnswer: 24228675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5356735s in microseconds?\nAnswer: 535673.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.249 + 1.749. Put 4, -13, 2, p in ascending order.\nAnswer: -13, p, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + 4 + -5 + 2*sqrt(275) - (6*(-3 + sqrt(275) - sqrt(275)) - ((-1*sqrt(275) - sqrt(275)) + 4)))*-4)**2.\nAnswer: 10816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 0*o + 1 - 2 - o. Suppose -k = 2 - 1. Let j(z) be the third derivative of -z**5\/60 - z**4\/4 - z**3 - 100*z**2. Determine k*j(p) + 6*s(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -84 + -186\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the second derivative of 476*h**4\/3 - h**3\/3 + 2*h**2 + 10*h. Let r be f(4). Let v = r - 852969\/28. Find the common denominator of -9\/4 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 115*d. Suppose -6*w = -9*w - 3*q + 36, 2*w - 9 = q. Let i(c) = -3*c - w*c + 7*c + 0*c. What is i(b(l))?\nAnswer: -345*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + j + 35 = 0, 3*l - j + 0*j - 21 = 0. What is the common denominator of (l\/1 + -2)\/(18\/17) and 174\/(-20) + 2 + -1?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 397408 divided by -9032?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 107363359343\/693025281 + 427767\/693719. Let o = 2022\/13 - l. Is 1 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6480 and 6659820.\nAnswer: 26639280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*r + 3*r = 2*z - 5072, 0 = r + 4*z - 1000. Suppose 0*b + r = 4*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -2*p**2 + 148999373*p. Let l(u) = 3*u. Calculate j(l(s)).\nAnswer: -18*s**2 + 446998119*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6578\/77 - 3\/7. Let c = -60 + y. What is the highest common divisor of c and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (106 + 491*m - 106)*(3 + 0 - 1).\nAnswer: 982*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -2*v**2 + 12*v + 2. Let s(x) = -x**2 - 1. Let o(i) = 3*s(i) - t(i). What is the tens digit of o(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -946*o**3 - 18*o**2 - 8*o + 224. Let v(c) = -3*c**2 - c. Let d(f) = q(f) - 6*v(f). What is the second derivative of d(x) wrt x?\nAnswer: -5676*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from axyxzzazcxyyc. Give prob of sequence ya.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3825964?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4447710313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 2495 + 2523 = 0, -5*l + 5*t = -215230. What are the prime factors of l?\nAnswer: 3, 113, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39095*f + 20959*f - 81868*f - 33373*f.\nAnswer: -133377*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.389 to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, 0.141, 3, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 3  (b) -0.2  (c) 393  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21518082.\nAnswer: 2, 3, 83, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -617 - -615. Which is bigger: 299 or h?\nAnswer: 299","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 + 7 = -7*g. Solve -10 = o - g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4462*j**2 - 920*j**2 + 660*j**2 in the form z*j + p + f*j**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*2*1\/(-22)*2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1972563, -3945199, -5917835, -7890471, -9863107?\nAnswer: -11835743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5.6 + 5.5. Which is the closest to -1?  (a) o  (b) -1  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3\/2)\/(1*6\/324). Suppose -b*x - 840 = -93*x. Is x a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-254)\/108)\/(5\/(-15)) and -79\/28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the second derivative of -r**6\/15 - 7*r**4\/6 - r**2 - 9*r - 4. What is the third derivative of t(y) wrt y?\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 136*i**2 - 47*i**2 - 44*i**2 + 26*i**3 - 45*i**2.\nAnswer: 26*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g + 2*g - 5*g)*(-224*g + 50*g**3 + 224*g)*(2*g + 0*g - g + (1 + 1 - 3)*(-2*g + 0*g + 0*g)).\nAnswer: -150*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/95 in -1\/4, 24\/91, 6, -4\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1\/4, 0.47, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 188134455 less than -0.5?\nAnswer: -188134455.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 + (5 - 3))*2\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/4669 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((2*(4 + sqrt(833)*-3))**2 + (((sqrt(833) - -2*sqrt(833)) + 4)**2 - -1*(sqrt(833)*1 - sqrt(833))**2)) + -2.\nAnswer: -112697 + 1512*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the second derivative of i**6\/180 + i**5\/15 - 5*i**4\/12 + i**3\/2 + i. Let u(n) be the second derivative of b(n). Is 16 a factor of u(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 200334.\nAnswer: 2, 3, 173, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -20*d**2 - 3*d + 10. Let u(o) = 19*o**2 + o - 9. What is -2*i(k) - 3*u(k)?\nAnswer: -17*k**2 + 3*k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.1 and 20706.55504.\nAnswer: 20706.65504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 118089102.\nAnswer: 2, 3, 29, 41, 16553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 - 0)\/(2\/4). Suppose 3*g - 12 = p, -g - y*g - 2*p + 12 = 0. What is the units digit of 2\/g*(3 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the second derivative of -v**8\/1120 - v**5\/120 - v**4\/4 + v**3\/3 - 9*v. Let o(b) be the third derivative of i(b). What is o(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:56 AM and 11:50 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and -5 + 2 - (-60)\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*i - 13*i + 204 = 0. Which is smaller: -613\/3 or i?\nAnswer: -613\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2 - -1 - (-18 - 0)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-m**2 + 11*m**2 - 11*m**2)*(3 - 5 + 6)*(-m + 3*m - m) to w*m**2 + y*m + i + c*m**3 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 minutes after 8:11 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 12\/1 + -2 + 3. Let c = x + -17. What is the second smallest value in c, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, h: 4}. Give prob of sequence hhth.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73 = 76*r - 1517. Sort r, 2, -0.5 in descending order.\nAnswer: r, 2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 545\/(-763)*14\/(-6).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that 3250*x**3 - 13012*x**2 + 13048*x - 48 = 0.\nAnswer: 6\/1625, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4*r + 4*r - r**2)*(-2 + 2 - 4) - 3*r**2 + 0*r**2 + 2*r**2)*(277 - 44 + 29).\nAnswer: 786*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d - 2*d + 3*d)*(5 - 5 - d**2) + 4*d**3 - 3*d**3 + 0*d**3 + (-19 + 6 + 7 - 10*d)*(0*d**2 + 5*d**2 - d**2).\nAnswer: -38*d**3 - 24*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2. Let b be w(-4). Suppose -209*l + 183*l = -3744. What is the highest common factor of l and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.083562 milligrams to nanograms.\nAnswer: 1083562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w**2\/3 + 30444*w - 730784\/3 = 0. Calculate w.\nAnswer: -45674, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 52, 203, 354, 505, 656?\nAnswer: 807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = 2*u - 4*u, -3*m - u = 16. Let l = 28 - m. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -0.4  (b) -2  (c) 5  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 (base 14) in base 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2 - (-12)\/(-9) - 793\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*d + 0*d - 4*d)*(0*d + 3*d - 4*d)*(-d**2 - 5*d + 5*d)*(-1 + 0 - 1).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -528286 divided by -649.\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 52 + (-3139)\/73 - (-1)\/(3\/(-267))\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -c**4\/2 + 4753*c**3 - 21511201*c**2\/2 - 2566163712*c - 145748164608 = 0. What is c?\nAnswer: -111, 4864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 15416 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0004242518 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 471287435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 - 52 = 10*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7263365\/112 + -64851. Let b be (-4)\/(1\/((-8)\/(-14))) - -1. Let z = b + q. Calculate the common denominator of 1\/2 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7.7 + 7. Let l = 3.3 - o. Which is the third smallest value?  (a) 3  (b) l  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 4364 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 55.63891 grams?\nAnswer: 0.05563891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 342*18567.\nAnswer: 6349914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**2 - 7*h - 4. Let m be f(-6). Factor -48 + 52*z**2 + 12*z**3 - z**5 - 2*z**5 - 9*z**4 - 4*z**m + 0*z**5.\nAnswer: -3*(z - 2)*(z - 1)*(z + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -7*m**3 + m. Suppose -5*o = u - 27, 4*o - 4*u = u + 10. Suppose -j = -o*j - 4. What is p(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/(i\/(i**(-5\/6)*i)*i))\/i*i*i*i)\/i**(2\/3))**(-35)\/(((((i**(-5)\/i)\/i)\/i)\/(i\/i**(2\/9)))\/((i\/((i\/((i*i**(1\/5))\/i))\/i))\/i**3)) assuming i is positive.\nAnswer: i**(-947\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 23376\/84 - 6\/21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 37 in -942, 5, -2\/5, -3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/92 and 81\/22.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 6*k - 8. Calculate the common denominator of r(7) and 17\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 * 6678\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -3, 285, 0, 1, -2 in decreasing order.\nAnswer: 285, 1, 0, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (27\/((-4860)\/(-24)))\/((-9)\/(-15))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80931*j - 4270 = 81785*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/310 and 157\/930?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1176 divided by 4\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 826845 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the second derivative of -w**4\/6 + 7*w**3\/6 - w**2 + 13*w - 1. Let u(i) = i**2 - 3*i + 1. What is 4*b(j) + 9*u(j)?\nAnswer: j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -19*c. Calculate the remainder when w(-3) is divided by ((-4)\/52)\/((-328)\/(-1066)) - (-162)\/8.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 7, a: 6}. Give prob of sequence lla.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/39574 and 111\/186082.\nAnswer: 8745854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 3 m when four letters picked without replacement from mvvvyvvmmzmbmmb?\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 155*k - 302*k - 2 + 2 - 253*k.\nAnswer: -400*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/10 + ((-4334999998)\/(-10))\/1. Suppose -m = -11*p + 26*p. What is p rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 4*z**2 + 2*z + 3. Let u be a(-2). Let p = -669 - -468. Let j = p + 216. Calculate the greatest common factor of u and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 3*c. Suppose -3*m - 9 = 0, c = -l - 0*l - m - 3. Solve 3*v + 25 = -v + 3*a, 4*v - 5*a + 31 = l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 2*u**2 - 21*u - 7. Let b be -4 + (1 - (-16)\/1) - 2. Let q be n(b). Suppose 455 = q*y - 5. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from sssspsssspppsssspss?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 4 = -5*j - 13, 5*b = -5*j + 15. Factor 2\/7*r**4 + 0*r**b + 0*r**2 + 0 + 0*r + 2\/7*r**5.\nAnswer: 2*r**4*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 121\/48 and -145\/11964.\nAnswer: 47856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 621034144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - 5) + 0 - (-2 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 20959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*f**4\/7 + 30*f**3\/7 + 108*f**2\/7 + 162*f\/7 + 81\/7.\nAnswer: 3*(f + 1)*(f + 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 29607439 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 >= 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3320\/11669 - 2\/1667. Which is the closest to -1.1?  (a) -5  (b) 1\/5  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -10*n - 99. Let w be m(-10). Let o(z) = -5*z**3 - z**2 + 2*z - 1. Give o(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -1528*g + 1524*g - 3*f + 14, 5*g = f + 8. Solve 5*r + 2*l = l - g, 2*r = -2*l + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 + 1228\/(4*(-2)\/(-8)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -33 + 20. Let r = -4 - q. What is the units digit of (-1)\/(15\/r - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*t = -14*t - 12 - 597 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 85.94892 centuries in years?\nAnswer: 8594.892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1197602954 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -816*t**3 - 4*t**2 - 13*t - 8. Calculate d(-1).\nAnswer: 817","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35895841.\nAnswer: 43, 834787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -8 - 2 - 8\/2. Let u be 4\/m + (288\/140)\/3. Factor -1\/5*x**3 + 0*x + 0*x**2 - 1\/5*x**5 + 0 + u*x**4.\nAnswer: -x**3*(x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k**3 - 5*k**2 - 2*k + 3. Let n be w(5). Let u(b) = -b**2 + 4*b + 1. Let a(r) = r. Let v = 27 + -25. Determine n*a(f) + v*u(f).\nAnswer: -2*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 280 and 14?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 101001010 (base 2) in base 4?\nAnswer: 11022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 1*sqrt(539).\nAnswer: -1 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3944965 = 3*l - 13*l - 3069035. What is l rounded to the nearest 10000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 89*t. Let c(y) = -1761*y. Calculate w(c(r)).\nAnswer: -156729*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 9*h**2 + 23*h - 25. Calculate u(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 143 and -6.14.\nAnswer: -878.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -25552 - 3533?\nAnswer: -32415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + u + 4 = 5, -7 = 5*i + u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13\/207 + -3599\/7866. Let i = j + 2107\/380. Find the common denominator of i and -21\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.35 + 7.35. Let f = -2 + m. Let q = -101 + 105. Which is the nearest to 1\/3?  (a) q  (b) f  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*l - 242 = 132. Suppose -4*g = l*g - 130. Solve -21 + 1 = -g*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (7*i - 39*i - 46*i)*(23 - 16 - 28 - 40 - 15) as z*i + x and give z.\nAnswer: 5928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 150147 and 1656099?\nAnswer: 2241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -5*g, -p - 5*g + 75132 = -92168. Suppose -2*m = -4, 0 = 2*k + 2*m - 6*m + 148578. Let o = p + k. Round o to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56112886.\nAnswer: 2, 17, 1650379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1480 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -19060 + 19108. Solve -41*s + 35 = -j*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xurcxxccxxi. Give prob of picking 1 r, 1 u, and 1 c.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 r, and 1 g when three letters picked without replacement from rgzrww.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4662*p + 32720 = 88664 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/(-16)*(-404)\/101.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -61619 divided by 180\nAnswer: -61619\/180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -83115 + 18*a - 58*a + 37*a.\nAnswer: -3*a - 83115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnxxx. What is prob of picking 2 n and 2 x?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 + 4. Let c be 6\/(-10)*(-1 - -2). What is the closest to -0.1 in c, 3, v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 40*h**2 + 46*h**2 - 83*h**2 + 13*h as v*h**2 + o*h + z and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1018*l + 12339 = 36355 + 16704 for l.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -4*h**2 - 14*h + 185. What is p(9)?\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*y - 584000 = 14*y. What is y rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 530 + -530. Suppose -2*i - 4*t + 1160 = u, -3*t - 2*t = -5*i + 2900. What is the highest common factor of i and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n = 2*n. Let i = 5.2 - -1.8. Let w = i - 7.1. Which is the smallest value?  (a) 3\/2  (b) n  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**2 - 20*t - 3. Let b be y(-17). Let r be -5 + b\/4 - (1 + 1). Suppose -r - 7 = 3*u. Put -1, 0, -11, u in ascending order.\nAnswer: -11, u, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69926319 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: List the prime factors of 2513997.\nAnswer: 3, 41, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (493779\/(-4604))\/(220\/(-16)).\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6566593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(9\/2)*q**(-14))\/((q**(-2\/7)*q)\/q*q**(-2)*q)**(-43) assuming q is positive.\nAnswer: q**(-907\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.17137 - 0.15137. Which is the nearest to t?  (a) -3  (b) 0  (c) 0.1  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the first derivative of -t**3\/3 - 4*t**2 + 10*t - 227. Give m(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, 1\/4, 0.3, 5, -19\/42, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 193.98 + -194. Which is the second biggest value?  (a) -5  (b) w  (c) 2  (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2011*l + 1732570 - 415034 = 4715*l + 8246*l for l.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(1216))*1.\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n**5 + 170825*n**4 + 1457606335*n**3 - 24815021405*n**2 + 116829974160*n - 93472729920 = 0. What is n?\nAnswer: -17091, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**2 + 3*r + 26. Let o be g(6). Suppose 79*y + o = 83*y. Let w be 262\/14 - 4\/(-14). Solve y = -5*x - n, 3*x - 5*n = -x - w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -108 + 109. Calculate the smallest common multiple of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**2 - 2*r - 2. Let a = 73 - 68. What is f(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 20 + -13. Let r = z - 7. Which is the closest to -1\/4?  (a) -1  (b) 3  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**2 - 6*y + 6. Suppose 0*q - q + 24 = -5*m, -5*m + 3*q - 22 = 0. Calculate the remainder when f(m) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -25218*a**4 + a - 3090?\nAnswer: -302616*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -3*n**5 - 18*n**4 - 12*n**3 + 18*n**2 + 15*n = 0?\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*b**2 - 176 - 177 + 353.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.1917 and 9?\nAnswer: 8.8083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1253.95819 or -1?\nAnswer: -1253.95819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Total of -35748.78 and 4.6.\nAnswer: -35744.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**2 - 8*y - 5. Let o(n) = -n**3 - 4*n**2 + 6*n. Let t be o(-5). Is v(t) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the third derivative of -c**5\/12 + c**3\/6 + 7*c**2. Find the first derivative of o(q) wrt q.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22646352343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Do 11165 and 22327\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 10, d: 2}. What is prob of picking 2 s?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*h + 6*h - 2*k, 2*h = 4*k. Suppose v + 34 = 5*l - h*v, -4*v = 5*l - 14. What is the third derivative of 2*t**2 - 3*t**2 + 0*t**2 - 2*t**l wrt t?\nAnswer: -240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 150 - 323?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 1600 divide 175170382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:21 PM and 3:07 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -8.6*3\nAnswer: -25.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((16\/36*-3)\/((-2)\/(-39)))\/(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1088 and 8760.\nAnswer: 1191360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002706974 rounded to 5 decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2.6 in 3, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.19942*0.4\nAnswer: 0.079768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - -17 - 15 - -15?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, p: 1, w: 1, f: 6, q: 3}. Give prob of sequence qqq.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -1266202.\nAnswer: 2\/633101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 7*z - 11. Let q(k) = -8*k + 12. Let a(b) = -5*n(b) - 4*q(b). Let g(s) = s - 3. Calculate 4*a(u) + 10*g(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(288) + sqrt(288))*2 + (sqrt(288) + -2)*-1.\nAnswer: 2 + 84*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a = 5*f - 12, -2*f + 10*a + 1 = 5*a for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 136 and 224.\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -4*r - 0*r + 1, -12 = -4*a. Let c be -6 - (-2190)\/20 - (-2)\/r. Let v = -67 - -119. Calculate the greatest common divisor of v and c.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12 + 28 - 12 + (0 + 0 - 1)*(2 - 5 - 1))*(-11*b**4 - 57 + 57).\nAnswer: -88*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.1, 414, -1\/3, -0.8, -14\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-50)\/200 + (0 - (-4617)\/4). Suppose l = -6*d - 586. List the prime factors of (3\/(-2))\/(d\/(-148) + -2).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -0*d - b - 4, -b + 2 = 0. Suppose 0 = -d*r + 3*c - 0*c, 16 = 5*r + 3*c. What is the third derivative of 5*f**3 + 0 + 2 + f**r - 2 wrt f?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3667512 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -60*q**3*y**3 - q**3*y + 17*q**2*y**2 wrt y?\nAnswer: -360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 682, 622, 512, 340, 94, -238, -668?\nAnswer: -1208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (18\/10 + 1)\/(27\/135). Let l be 201\/39 - n\/91. Find the second derivative of 32*k + 25*k**l - 27*k**5 - 33*k**5 wrt k.\nAnswer: -700*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o*o\/o**3))**(6\/19)*(o**(2\/29)\/o)\/(o\/o**(11\/3)))**(-1\/50) assuming o is positive.\nAnswer: o**(-3913\/82650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -4. Let j(t) = t - 11. Let k(r) = 4*j(r) - 11*x(r). Let v(u) = 5*u + 7. Let a(n) = -n - 1. Let l(i) = 35*a(i) + 5*v(i). What is l(k(b))?\nAnswer: -40*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20\/(-8))\/(6\/9)*(-500)\/75.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 7, i: 2, d: 6}. Give prob of sequence iv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3216 and 0.166.\nAnswer: 533.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 200385, 200383, 200381, 200379, 200377, 200375?\n\"Answer: -2*j + 200387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -34 + -3 + (7 - (-2 + 2))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/((4 + -3)*(2 + -14 + 13)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1060 at most as big as -1061?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 488 - 266444467.\nAnswer: -266443979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-1*2)\/(7*169\/(-91))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8422*y**4 - 12*y**2 + 35633*y wrt y?\nAnswer: -101064*y**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are -891192 and -891224 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the second derivative of j**4\/12 - j**3\/3 - 2*j**2 + 2*j. Let m be u(3). Let w be 17\/8 + (m - 1). What is the smallest value in w, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 2 = -4*t. Solve t*h + 4 + 6 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes after 6:52 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -301*j**3 - 34*j**2 - 21*j + 4. Let h(z) = -76*z**3 - 8*z**2 - 5*z + 1. Let i(n) = -17*h(n) + 4*w(n). Calculate i(1).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(110)\/(sqrt(10)*2) - (sqrt(704) + 0 + sqrt(704)))*4.\nAnswer: 186*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2 - (-3 - (-8 + 4)). Suppose -9 = -2*s + b. Suppose s*u = 5*d - 150, 4*d - 114 = d - 5*u. Solve 4*n + 22 = v, 4*v - 5*n - d = -0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -676 + 3165. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -48 and -91512 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*v**3 - 5*v**3 - 4*v**3 + v**2 + 3*v to z*v + q*v**3 + b + h*v**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.2027 - -1834.05.\nAnswer: 1835.2527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*o + 7*o + 15886 - 15*o.\nAnswer: 2*o + 15886","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -16, 0, 1.2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 352685093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*-303.75.\nAnswer: 303.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -32\/3 - 2\/3*b**2 - 16\/3*b.\nAnswer: -2*(b + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + 32 + 0 = 4*x, 3*k = -2*x + 19 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 2*y + 3*y = 53, 3*y = -2*j + 104. Suppose -3*k + 5*m + 62 = 0, 5*k + 5*m - m - 165 = 0. Calculate the remainder when j is divided by k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7519 and 206.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = 5*z - 25, p + 1 = -5*z + 8. Suppose 3*b = z*o - 61, 0 = -2*o - 5*b + 2*b + 67. Solve -3*n + o = -0*n + 4*k, -41 = -4*n - 5*k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the third derivative of 77*j**6\/60 + 5*j**4\/12 - j**3\/6 + 7*j**2 - 1. Find the second derivative of o(r) wrt r.\nAnswer: 924*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 0.07, 105, -0.1 in descending order.\nAnswer: 105, 0.07, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 5 + 3)*(3*i**4 + 2*i**4 - i**4) + (0*i + 0*i + i)*(12 - 2*i**3 - 12) to the form n*i + j*i**2 + g*i**4 + c + y*i**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 20197 + 12835. What are the prime factors of k?\nAnswer: 2, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 21*c**3*s**2 + 1605118*c**3 - 802*c**2*s**2 + 7*s**2 with respect to s.\nAnswer: 42*c**3*s - 1604*c**2*s + 14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 38467540 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, 12, -2, -21.27?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -46*d - 370*d - 221*d + 138*d as u*d + x and give u.\nAnswer: -499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (5 + -5 + 157)*2. Suppose b - 1644 = -5*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-5)\/(-15))\/((-1)\/(-6)). Suppose v + 2 = m*v. Suppose 0 = v*s - 55 + 9. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 49.4657 meters?\nAnswer: 49465.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 454*s**3 + 152*s**3 + 19*s + 1 + 0.\nAnswer: 606*s**3 + 19*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 3*v**3 + v**2 + v - 1. Suppose -3*x + 1 + 2 = 0. Let h be (6\/18)\/(x\/3). Let z(y) = -y**3 - y**2 - y + 1. Determine h*o(m) + z(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 315 = 5*w, -w + q = -q + 71. Let u = 26 - w. Suppose 0 = -5*b + 3*a + 347, -b + 5*a + 0*a + u = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19245, -44826, -76741, -114990?\nAnswer: -159573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2732805)\/(-65) - (48\/(-78))\/(-4)?\nAnswer: 42043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x - 63 - 37. Let j be ((-24)\/20)\/(6\/x). Suppose -f + j = -1. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-21)\/117 + 1\/3.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2795397\/518 - -20541\/37. Let f = a + 4833. Calculate the common denominator of ((-238)\/(-36))\/(4\/6) and f.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 90077, 717284, 2419693, 5734904, 11200517, 19354132, 30733349, 45875768?\n\"Answer: 89600*u**3 + u**2 + 4*u + 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pe when two letters picked without replacement from hhsphshseh.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n - 4*k - 58, -3*k + 0*k - 102 = 3*n. Let b = 42 + n. Let t be 1*(-2)\/((-4)\/(-6)). Put t, -2, b in ascending order.\nAnswer: t, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -8*d**2 - 2*d - 3. Let y be l(4). Let x = y - -26. Let p = -36 - x. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**3 - 20*v**2 + 43*v - 22. Let p be d(-22). Solve -5*x - 9 = 3*n, 3*n + p*n + 9 = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -125*d - 12795 = -5795 for d.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 5*q = 20, -5*q - 5 = k - 3*k. Let c = -1 - 1. Let t = 0 - c. Solve k = -t*n - 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 338 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3276)\/2340 + (-102)\/(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -297962*q = -294834*q + 409768 for q.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 16*k - 13. Is g(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6\/7*112\/32. Which is the nearest to 9?  (a) -2\/7  (b) -3\/4  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmrmrrmmmm.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -15.44 + 15.43999522. What is m rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 9*d. Suppose 35 = 5*u + 2*b - 5*b, -7 = -u - 2*b. Let m be (-3 - 69\/(-21))*u. Let w(v) = 0*v - 3*v + m*v. Give w(l(g)).\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q. Let z(w) = 49*w - 2. What is -5*d(v) - z(v)?\nAnswer: -44*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y + 7. Suppose 0 = i, -730 = -4*z + 4*i - 222. Suppose 33 = 4*v - z. Calculate the smallest common multiple of a(11) and v.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the second derivative of p**3\/6 + 15*p**2\/2 - 20*p. Let q be i(25). Suppose 11*h - 10*h = q. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2327957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -4*u**5 + 152*u**4 - 432*u**3 + 424*u**2 - 140*u = 0.\nAnswer: 0, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 426, 857, 1290, 1725?\n\"Answer: z**2 + 428*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 94 + -67. Calculate the remainder when 51 is divided by z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j**5 + 12*j**4 + 16*j**3 - 96*j**2 - 32*j + 192 = 0 for j.\nAnswer: -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8.71 + -8.21. Let b = 0.03 - 0.33. Sort -0.07, p, -2, b in decreasing order.\nAnswer: p, -0.07, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -100  (b) 1\/4  (c) 4  (d) -2  (e) 8528\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -16\/9 and (-3)\/(54\/485)*1437\/19160.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -2*s - 32. Let f(j) = -j + 1. Let m(i) = 3*f(i) - g(i). Is m(0) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/6, -451, 2, -0.11, -387, 0.2?\nAnswer: -387","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:55 AM and 4:29 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 4784 = -2*i, -10*m + 14358 = -7*m + 3*i. Calculate the highest common divisor of 336 and m.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2655*c**2 - 5225*c**2 + 2619*c**2.\nAnswer: 49*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 261321288 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 15 - 11. Let z be 2 + (2 - -1 - w). Put z, 0, 2, -5 in ascending order.\nAnswer: -5, 0, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + -2.9. Let f(l) be the second derivative of l**4\/12 + l**3\/3 - 4*l**2 + 14*l. Let a be f(-4). What is the closest to u in -0.1, 2\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, -1, 71, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 480 * 12\nAnswer: 5760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -p - p. Suppose p*h - 69 = 76. Suppose -5 = 4*j - h. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l - r - 2501, 3093 = 3*l + r + 602. Calculate the common denominator of (-1512)\/l - (-5)\/4 and 62\/65.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.2 + -0.5. Let m = -457 - -454.93. Let p = 0.07 + m. What is the nearest to -2 in p, -4, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((((w*w*w*w*w**24)\/w)\/w)\/w*w*w**(3\/17))**0)**30)**4 assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 471.88 - 482. Let a = r - -10. Are a and 4\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**6\/z**(1\/3)*z**(-1\/2)*z*z**(-8) assuming z is positive.\nAnswer: z**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**3 - 4*l**2 - l + 9. Is u(6) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 2*f - 6. Let n be (-540)\/(-35) + 6\/(-14). Let b = n - 9. What is v(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000033833 rounded to 6 dps?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1e22 + -3?\nAnswer: 1e1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 18768 + -18696. What is the third biggest value in f, -2\/33, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 313310030 (base 4) to base 5\nAnswer: 24303440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -5*u + 3*i - 4, 0 = -4*u + i - 13. Let y = 7 + u. Solve z - o = -4*z + 10, z + 19 = -y*o for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-22)\/550)\/(6\/(-20))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 13  (b) -0.619  (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the first derivative of -p**7\/105 + p**5\/4 - 15*p**2 - 16. Let t(r) be the second derivative of b(r). Find the third derivative of t(l) wrt l.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the second derivative of v**4\/4 + v**3\/6 - 5*v**2\/2 + 20*v. What is the tens digit of a(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 4*x - 12, -3*x - 9 = -6*x - c. Let y be 0\/(-5 + 6 - x). Solve u + 2 = -y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 4*k - 114 = 0, -m - m + k = -56. Let r = m + -20. Let d(b) = -b + 15. What is the remainder when 29 is divided by d(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the third derivative of 0*z**4 - 7\/12*z**5 + 29\/6*z**3 - z + 0 - 42*z**2. What is the derivative of g(n) wrt n?\nAnswer: -70*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 1064 a factor of 8115128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(1008) + -1)**2.\nAnswer: -144*sqrt(7) + 1044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22 - 21 - 23*k - 35 + 65 to the form w + m*k and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*m + 1 + 23 + 4*m as w*m + n and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -2*x**3 - x**2 + 1. Suppose -3*s = -4*o + 15, 5 = 4*o - 5*s - 4. Let u = 5 - o. Let k be f(u). Solve -k*l + 2*n + 2 = l, -2 = 2*n for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 292 and 1898?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 - -129. Suppose -2*o - 3*o = -f. Let d be 120\/o + (-2)\/(-10). Solve 0*r + 5 = d*r + 3*p, 0 = r - p - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67589 is divided by 13210?\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22 is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 92921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -251 = -4*o + 2*s + 269, -o = 3*s - 137. List the prime factors of o.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 82*r**2 - 5*r - 58. Let m(l) = -80*l**2 + 4*l + 57. Let g(n) = 5*m(n) + 4*y(n). Differentiate g(h) wrt h.\nAnswer: -144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -828 = -m - 5*t, 74*t - 20 = 69*t. Let l = -757 + m. What is the highest common divisor of 1479 and l?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 0*x + 245 = 0. Let r = -1311 - x. Let j = -10631\/10 - r. Calculate the common denominator of j and -25\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -64938 (base 11) in base 16?\nAnswer: -1705c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.006  (b) -4  (c) 1\/3  (d) 0.18  (e) 1\/2  (f) 0.8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - 5 = -5*l, -7*l - 1 = -4*n - 8*l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6792\/9 - 4\/(-30). Let y = t - 752. Is y at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + -1 + (9 + -15 - -7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 0 - 324*j - 2 + 320*j. Let d be (-2)\/7 - (-57)\/(-21). Give t(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 23\/2 + 1\/2. Suppose -2*o = -5*o + 3, 5*f - 3*o = -3. Suppose 2*v + 3*v - 55 = f. Which is bigger: z or v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 3*b - 2. Let z(y) = 3*y - 3. Let u(v) = 3*a(v) - 2*z(v). Suppose 4 = 3*x - 14. Is 7 a factor of u(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1158187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**2 + u - 59. Let p = -270 + 245. List the prime factors of f(p).\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22370.74 minus 0.4456454?\nAnswer: -22371.1856454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10 and 68270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/9)\/(-2)*-3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 198, 33, -240, -621, -1110, -1707, -2412?\nAnswer: -3225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -180, -149, -118, -87, -56?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 917 and 1703?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**3 + 5*y**2 + 3*y - 1. Suppose -2 = 5*i + 18. Let z be f(i). Solve -z = -j - 0*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggggg. What is prob of picking 4 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1*2 + 3 + -3. Solve 0 - 5*z**k - 1 - z**2 + 7*z**2 = 0 for z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -2\/3 and -4\/147 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*k + 369 - 305 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 96638.54 nanograms?\nAnswer: 0.00000000009663854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**3 - 3*h**2 + 16*h + 3. Suppose -4*i - 4*y = 44, -5*i - 13 = -3*y + 2. Let u be w(i). Suppose -14*s = -u*s. Solve s = -2*o - 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the third derivative of -493*x**4\/24 + 70*x**3 - 73*x**2. What is the first derivative of v(l) wrt l?\nAnswer: -493","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -36602*h**6 + 13593*h**2 - 2*h?\nAnswer: -4392240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*p - 2*w - 6, -5*p = 3*w - 36 + 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 489 divide 64856344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 2899*-2.15\nAnswer: -6232.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*k + 1610 = 37*k + 13*k - 16*k for k.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 18172 - 127207\/7. Let m = -27 - -28.1. Let f = m - 0.6. Which is the second biggest value?  (a) f  (b) v  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3525 and 900285?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ew when two letters picked without replacement from {e: 2, q: 2, w: 5, m: 3, g: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -2*i - i. Let d(o) = -o - 8. Let c be d(i). Put 4, 2, c in descending order.\nAnswer: 4, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*x**5 - 2*x**5 - 10*x**5 + 2*x**5 - x**4 + x**4 + (-x**2 + 2 - 2)*(-x**2 - x**3 + x**2) - x**5 + 2*x**5 - 6*x**5.\nAnswer: -10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 69*j**2 - 2*j + 1. Give r(1).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/(9\/12) - (-131 + 8). Let h = w + -105. Let z be ((-2)\/(-4))\/((-1)\/(-28)). Is h equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 29\/5 of a millennium?\nAnswer: 69600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/6 - (-11)\/(-22)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -3*h + 48. Let i be n(12). Let t(d) = 11*d**3 + d**2 + d + 2. Let j be t(2). Calculate the greatest common divisor of i and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -966 by -84.\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of 15 and 1117.\nAnswer: 16755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a\/(((((a\/a**9)\/a)\/a)\/a)\/a)*a*a**0)\/(a**(2\/5))**26)\/(a**(-1\/7)\/a**(1\/5))**(2\/49) assuming a is positive.\nAnswer: a**(7913\/1715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 285 a factor of 69287734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-73)\/((-18396)\/1152))\/((-2108)\/(-1302)).\nAnswer: 48\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q + 6 + 5. Let f be (-9)\/(9\/3) + 5. Let t(i) = i + 1. Let n(j) = -5*j - 5. Give f*n(w) + q*t(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23774 - 18989 = 994*f + 973 for f.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -18 + 14. Which is the smallest value?  (a) -0.2  (b) o  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q - 5 + 15, -6 = -3*w + 3*q. Let s = 1 - 1. Suppose w = 2*b - s*b - 34. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3530382 nanograms to kilograms.\nAnswer: 0.0000000000003530382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 - -3. Let v = 4 - 8. Let j = v - -1. What is the nearest to x in 1\/6, j, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s + 12*s + 1845. Let a = s - -125. Solve -a*x = 3*x - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 26971302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 3*s**2 - 6*s - 2. Let b(z) be the third derivative of -z**5\/30 + 5*z**4\/24 + z**3\/3 + 199*z**2. What is 5*b(m) + 4*c(m)?\nAnswer: 2*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**3 + 6. Let g be q(0). Suppose 0 = f - g*f + 25. Put 0.1, f, -0.2 in decreasing order.\nAnswer: f, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5681 = -242*g + 18*g - 23*g for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 645.92ml to litres.\nAnswer: 0.64592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 861222 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 4*i + 386 = 368, -24 = 4*i. Factor 3\/5*v**2 - 9\/10*v + 0 - 1\/10*v**h.\nAnswer: -v*(v - 3)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 534 bigger than 601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.49433775749 + -2.9.\nAnswer: -5.39433775749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 55 + -16. Suppose -4*f + y - 159 = 0. Let j be ((-18)\/(-1))\/((-4)\/f). What is the greatest common factor of 15 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:24 PM and 8:40 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/5 of a tonne in kilograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -7, -23, -27, -13, 25, 93, 197, 343?\n\"Answer: f**3 - 23*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -2*g. Let q(l) be the first derivative of -1\/3*l**3 + 2 + 0*l + 0*l**2. Give d(q(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*f - f - 5*f)*(1 + 2*f - f + 0 + (3 - 5 + 3)*(-4*f - 3*f + 5*f)).\nAnswer: -2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 6) to base 11\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1471 - -1471.007. What is y rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**3 - 2*f**2 + 1068*f - 13145. What is x(12)?\nAnswer: 1111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (9\/12)\/((-6)\/(-4)). Let l be (-6)\/36 + 20\/30. Determine c, given that -1\/2*c**3 + 0*c - l*c**4 + 0 + f*c**2 + 1\/2*c**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1392784.\nAnswer: 2, 87049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1222208.\nAnswer: 2, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.456 - 43.544. Let n = 19665183.000524 - 19665139. Let f = n + p. What is f rounded to 5 decimal places?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 225716 and 876?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.036 - 15.964. Let s = 15.9725 + a. Round s to 3 decimal places.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1278634ml to litres.\nAnswer: 0.0001278634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1053) - (sqrt(1053) + 4*sqrt(1053)*5)) + 2 + (sqrt(13)*3 - sqrt(13)) + -4)**2 + -4)*-6.\nAnswer: -2471352 - 4272*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w. Let i(v) = v + 13. Let a be i(-6). Suppose a = -4*t - 25. Is 8 a factor of b(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the first derivative of -3*s**2\/2 + 2*s - 34. Calculate k(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -49, -0.4, 0.4 in descending order.\nAnswer: 0.4, -0.4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j + 2*m + 11, -14 = -j - j + 2*m. Suppose 0 = -3*k - 12, -2*s - 5 = 2*k + j. Solve -3*x + v + 6 = -s, -v = -5*x + 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 3\/4  (b) 9  (c) 1\/11  (d) -1\/7  (e) 18491  (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(7\/3)\/t*(t*t*t**(-14))\/t*t assuming t is positive.\nAnswer: t**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 616 and 2376?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3.92 - -0.18. Let c = -4 + r. Let n = 104.2 - 104.3. What is the closest to 1 in -2, c, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3271265?\nAnswer: 5, 229, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 + 24\/1)*1. Let u = q - -4. Solve -4*x - 6 + u = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = v + 3*s, -5*v - 9 = 3*s + 2. Let y(u) = -u**2 - 4*u. Let o be y(v). Solve o = -5*m + m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the second derivative of 3*v**8\/56 + 19*v**6\/30 + 19*v**5\/10 - 7*v**4\/3 - v**3\/2 + v**2 + 7*v + 26. What is the third derivative of s(j) wrt j?\nAnswer: 360*j**3 + 456*j + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2793 - 8094107*o + 2793 + 8094101*o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-20)\/2400*-12*-8)\/(148\/10)*-1?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-432)\/36)\/(27\/(-2))*36\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -104 - -103.5. Let w be (-1 - (-16)\/40) + (-1)\/(-1). Put f, w, -14 in descending order.\nAnswer: w, f, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3427.36 rounded to the nearest one hundred?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 62302420 divided by -68615\nAnswer: -908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/((-114)\/2470*-208)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 296 = 15*t - 34. What is the remainder when 49 is divided by t\/(-3)*(-24)\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -p**5\/2 + 223*p**4\/2 - 11569*p**3\/2 + 155917*p**2\/2 + 276055*p + 192200 = 0?\nAnswer: -2, -1, 31, 40, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1287 - 1228.1. Let p = z - 59. Which is the third biggest value?  (a) 2  (b) p  (c) 2\/3  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m - 4. Suppose 3*c = 7 - 1. Suppose c*u = -4*t + 30, -2*t + 4*u - 10 = -0*t. Let p(r) = -3*r + 9. Calculate t*d(l) + 2*p(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 15*t - 11*t = 16, -a = 3*t - 12. Factor 2\/5*m**5 + a*m**4 + 4\/5*m**2 - 6\/5*m**3 + 0 + 0*m.\nAnswer: 2*m**2*(m - 1)**2*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 36958 - 0.812747\nAnswer: 36957.187253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12212, -12728, -13244, -13760, -14276?\nAnswer: -14792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -443 = -28*a - 163 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2687725000 rounded to the nearest 1000000?\nAnswer: 2688000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:38 PM and 1:57 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4\/27 - -19\/54. Sort -1\/2, z, 1.\nAnswer: -1\/2, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 35 + 2*z + 22 - 3*z. Let n(l) = 119*l**2. Let i(v) = 143*v**2. Let d(f) = 5*i(f) - 6*n(f). Calculate d(r(s)).\nAnswer: s**2 - 114*s + 3249","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = 5 + 4. Let f = 7 + -2. Suppose -o + 2 = -f. What is the smallest common multiple of l and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u - 3 - 17. Suppose 0 = 4*b + u*t - 16, 0 = 2*b + t + 4 - 12. Let x = 2 - b. Is x at least 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 186821544 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 182755 and 402061?\nAnswer: 2010305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*((-10)\/5)\/2*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -105 bigger than -113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -0.15, 0.1, -0.5, 229, 11 in descending order.\nAnswer: 229, 11, 0.3, 0.1, -0.15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -2*c**3 - 1. Let u be p(-2). Suppose -3*o + u = -0*o. Suppose -3*a - o*z = -10, 0*a + 4*z + 19 = 3*a. Let m(x) = x**2 - 5*x + 6. Determine m(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u**2 + 0*u**2 - 3*u**2)*(0*u**3 - 4*u**3 + 2*u**3) + (-3*u**2 + 7*u**2 - 3*u**2)*(-u**3 - 14*u**2 + 14*u**2).\nAnswer: u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/2 in 0, -3, -6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.7 and 0.14.\nAnswer: -0.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19 + 28*x - 19 to q + w*x and give w.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17760 and 15840.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-25*i - 44*i - 21*i)*(2*i + i - 5*i) to the form z + t*i + a*i**2 and give a.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**3 - 70*b**2 - 79*b - 675. Calculate x(-69).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 138 + -116. Calculate the remainder when 24 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*q - q - 17*q.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -1, -22*f + 162 = r - 18*f. Suppose -r = 14*l - 54. Let k(m) = m**2 + 8*m - 3. Calculate k(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24 (base 14) to base 4.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -9*l**3 - 91*l**2 + 81*l + 913. Determine k(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 139 a factor of 10286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -372.96 + 380. Let k = 0.04 - a. Let s = 10 + k. Put 5, -4, s in descending order.\nAnswer: 5, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 770676323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 4*n + 4 = 2*a, -4*n - 3*a = -6. Suppose 22*r - 506 = -n*r. Solve -19 + r = 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the third derivative of a**5\/30 - a**4\/6 + a**3\/3 + 7*a**2. Let m(o) = 0. What is o?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssksdkdssddkbds. What is prob of picking 3 s?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1536) - (sqrt(1536) + (sqrt(1536)*-1 + sqrt(1536) - sqrt(1536))))*-1)\/((1*sqrt(132))\/sqrt(11) + sqrt(24)\/(sqrt(8)\/sqrt(4) + sqrt(2))))**2.\nAnswer: 512\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6118684 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 13 and 93.\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (-8 + (18 - -2) - 26)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 227*n - 2. What is l(-1)?\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 70 + 39. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.26 + 2.87. Let p = -0.13 + y. Let g = -0.07 - 2.93. What is the closest to -1 in g, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2 + 121)*140\/(-15). Let b = u + 1631. What is the highest common factor of 42 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b - 22 = -4*m, 32*m = 19*m - 2*b + 17*b + 114 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1997781?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 29c (base 15) in base 16?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9813106 is divided by 306658?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -482*y + 87 = -489*y - t, 40*y + 2*t = -512 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4709*l**3 + 50 - 50 - 3829*l**3.\nAnswer: -8538*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o**2 + 469672190*o + 11029598302969805 = 0. What is o?\nAnswer: -46967219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -804 equal to -803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28227*o - 517960 = -33857*o for o.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 251 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 14 in -2\/9, -1, -0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(143) + ((-2*sqrt(143) + sqrt(143))*1 - sqrt(143)))\/(-4*(sqrt(44)\/sqrt(4) - sqrt(11)) + sqrt(11)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 87*k - 85. What is the remainder when x(5) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 7 - (-18 + 1 - (-188 - -165)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes before 4:17 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/(21*25\/(-875))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3001\/11 - 273. Let v = 7.1 - -2.9. Let r = -6 + v. Which is the second smallest value?  (a) r  (b) t  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*i - 21*i - 34*i - 14*i.\nAnswer: -72*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 - 181823884?\nAnswer: -181823883.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*f - 221216 = -7*f. What are the prime factors of f?\nAnswer: 31, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 - 1)*(0 + 0 - y) + (4 + 1 - 4)*(y + 1 - 1).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes before 7:52 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n + 0 + 0)*(2*n**4 - 2*n**4 - 2*n**4) + n**5 - 2*n**5 - 2*n**5 + (2*n**2 - n**2 - 2*n**2)*(8*n**3 - 5*n**3 + 0*n**3).\nAnswer: -10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002990713533 to four decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*l**5 - 1392*l**2 - 2274*l**2 - 2*l**5 + 85*l**3 + 0*l**4 + 0*l**4 wrt l?\nAnswer: -480*l**2 + 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -2*g**3 - g**2 + 2*g - 6. Let h = 509 + -512. Let f be x(h). What is the highest common divisor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -15018b + -47b?\nAnswer: -150639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2*(-5)\/(15\/246). Suppose -3*t - 616 = x. Round t to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 20\/6*((-1)\/(-2) + 4). What is the greatest common divisor of 15 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9.9 + -10. Let i = 0.1 - 1.1. What is the smallest value in i, z, 1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -130680 divided by -1\nAnswer: 130680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -4*c + 283 + 125, 0 = 2*c - 4. Suppose -240 = -30*q + 34*q. Let u = q - l. Calculate the lowest common multiple of 10 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4653415149?\nAnswer: 3, 37, 73, 574283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the third derivative of k**5\/60 + 2*k**2. Let x(w) = -w**3 - 3*w**2 + 6*w + 10. Let h be x(-4). Let c(o) = 5*o**2 - 7*o**h - 13*o**2. Give y(c(p)).\nAnswer: 225*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2757518 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 331.0008s in microseconds?\nAnswer: 331000800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.3 - 0.2. Let p = z - -0.4. Let h = -0.4 + p. What is the smallest value in h, -5, -2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 3 + 3)*((1 + 0 + 1)*(-5*y + 3*y + 3*y) - 1781 - 2537 - y + 428).\nAnswer: -4*y + 15560","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (195\/6630)\/((12\/(-40))\/((-9)\/15))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -p**2 + 3*p - 7*p**6 + p - 4*p wrt p.\nAnswer: -840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 12243.76 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**2 + 6*h - 4. Let b be j(8). What is the units digit of (-1)\/2 + (-30)\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 798\/1368*6\/28. What is the second smallest value in z, -3, -34?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + 10 + 14 + -22?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -2*m + 5. Calculate x(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hxutlch. Give prob of sequence hxcl.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -7*l + 4. Suppose n + 6 = -4*s - l*n, 0 = -5*s - 5*n - 5. Which is bigger: s or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the third derivative of 1\/60*p**5 + 8\/3*p**3 + 0*p + 0 + 3\/8*p**4 - 6*p**2. Let i be a(-7). Solve i*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w - 1. Let b be ((-22)\/44)\/(1\/(-2)). Determine q(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (r**2 - 2*r - 2*r**2 + 3*r**2)*(-150 - 71 + 251 - 10*r + 902) to n + m*r + b*r**2 + l*r**3 and give m.\nAnswer: -1864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/2, 1\/1051635, -1\/62, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-9)\/n**3)**39*n**(-1\/3)\/n**(1\/8)*n**(-7)*n**7\/n assuming n is positive.\nAnswer: n**(-11267\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 2*u**2 - 3*u + 2. Let c be v(-4). Let n be (1 - (-8)\/(-10)) + 1635054\/730. Let l be 6\/2 + n\/20. What is the highest common divisor of c and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y**3 - 9*y**2 - y - 14. Suppose -30 = -12*w + 15*w. Let m be x(w). Suppose 0 = -q - 10 + 22. What is the greatest common factor of m and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 157 a factor of 917689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -31 + 28. What is the smallest value in -5, 0, -2, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 + 1 = -g. Let r = 11 - g. Let d be -1 + 6*r\/6. Solve d*s = 6 + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 894 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 16367537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 33 + (-2 - 26) - (2 - (0 + -3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add 35.47 and 2.\nAnswer: 37.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 3*r + 343 = p, -3*r - 4*p + 199 = 0. Let l = r + -69. Solve 4*u - 4*s = 4, -2*u + l*u - 2 = -4*s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*a - 12*a - 115 = 0. Suppose -a*d + 15*d + 16 = 0. Put 6, 0, d in increasing order.\nAnswer: 0, d, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*o - 5\/4*o**2 - 20 = 0. What is o?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -124.62796 times 0.5\nAnswer: -62.31398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-8 + 1 + 1)*(j + j - j) + 3 - 3 - 2*j)*(-1 - 2*j**2 + 1 + (1 + 6 - 2)*(-11*j - 19*j - 11*j)*(2*j - 3*j - j)).\nAnswer: -3264*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f - 2*f + 0*f)*(1 - 3 + 3) + (-3 + 5 - 3)*(8 - 8 + 11*f).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**3 - 25*c**2 + 26*c + 5. Determine z(-26).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -254*h**3 + 11*h + 22. Let n(t) = 85*t**3 - 4*t - 8. Calculate -11*n(y) - 4*s(y).\nAnswer: 81*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**3 + 6*r**2 + 2. Let q be m(-6). Let p(u) be the second derivative of 0*u**q - u + 0 + 0*u**3 - 5\/12*u**4. Let v(s) = s**2. What is v(p(h))?\nAnswer: 25*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-36)\/22*737\/(-201). Solve 34 = q*i + 64 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*-1 + (-5)\/((-20)\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 79923271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -38 + 148. Is n a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -467a0 (base 11) to base 12\nAnswer: -33097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 6*c**3 + 2*c**2 + c. Let f(s) = -5*s**3 - 2*s**2 - s. Let l = -103 - -62. Let g = 73 + l. Let b be (-2)\/(-8) + (-168)\/g. Calculate b*f(z) - 4*i(z).\nAnswer: z**3 + 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -260\/381 + 2\/127. Let m = -5\/12 - i. Let j = 59\/2 + -30. Which is the nearest to m?  (a) 0.4  (b) j  (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 178 (base 14) to base 7\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3950434, 7900876, 11851322, 15801772, 19752226?\nAnswer: 23702684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -210 + 212. Is 29865\/5 + 0 - v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 319 + 633?\nAnswer: 94c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the third derivative of -5*y**8\/336 - 11*y**7\/42 + y**6\/2 - 9*y**2 - 27. Factor j(r).\nAnswer: -5*r**3*(r - 1)*(r + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nu when two letters picked without replacement from {o: 7, p: 2, u: 1, l: 2, c: 4, n: 4}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**(-27)*p)\/p)\/(p*p*p**(-12\/5)) assuming p is positive.\nAnswer: p**(-128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(-2\/19))**(2\/51)\/(((z*z*z**(-2))\/z)\/z**(2\/3)))**12 assuming z is positive.\nAnswer: z**(388\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 39*l - 5. Let u be w(1). Let i be ((-3)\/3 + -2)*u. Let x be -3*(-1)\/(-10)*85\/i. Which is bigger: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -2*z - 27 - 7, -4*o = 0. Let m = -15 - z. Suppose 2*j - 17 = 2*b + 27, 104 = 5*j - m*b. What is the lowest common multiple of j and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16885090 divided by 1?\nAnswer: 16885090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 60 - ((0 - (-9 + 3)) + (-24 + 6 - -20))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -3*j**2. Let m be 1\/(-2) - (-45)\/6. Let c(z) = -5*z + 13*z - m*z. Calculate c(v(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 13*h**2 + 8*h**2 - h**2 - 2 + 8*h**2 + h**2.\nAnswer: 3*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*z**2 - 10*z**2 - 6*z - 7*z**2 + 0*z + 30*z**2.\nAnswer: -2*z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -236, -235, -234, -233, -232?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16906308 and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - q = -0*q - 18, -5*q = -10. Let n be (-100)\/(-16) - (-9)\/12. Let o(p) = -2*p - n*p - 8*p. Let t(b) = -8*b. Calculate s*o(l) + 9*t(l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 h when two letters picked without replacement from rqrhewe.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66)*5*-6)\/sqrt(2904).\nAnswer: -15*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/808 and -1\/4112.\nAnswer: 415312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(4 + ((-6*(sqrt(7) + 5 + sqrt(63)) - 4*(sqrt(7) - (sqrt(1008) + 0) - sqrt(7)))*2)**2)*-6.\nAnswer: -473568 + 138240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/5 - 294\/35. Suppose -34 = -d - 5*b, 2*d = b + 47 - 1. Let t = m + d. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -35*u**2 + 1589640*u + 1135475.\nAnswer: -5*(u - 45419)*(7*u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = -3*m + 5*p - 3, 6 = 3*m - 2*p. What is the second derivative of 153*y**4 - 11 + 46*y**m - 140*y + 148*y wrt y?\nAnswer: 2388*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 200024839 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 5*j - 3. Let q(p) = -p**2 - 9*p - 8. Let i be q(-7). Let y(a) = -4*a + 3. Calculate i*y(s) + 5*t(s).\nAnswer: s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 7 + 6*s)*(2 + 1 - 2)*(-2 + 2*s**4 + 4 + 0*s**4).\nAnswer: 12*s**5 + 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1\/45 - -7\/9. Let f be (-5)\/(-15)*1\/(-1). Which is the nearest to f?  (a) y  (b) 0.4  (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttd when three letters picked without replacement from ddddddtttdddddddtddd.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.13 + 0.13. Let k be (-2)\/6*(-12)\/26. Let r = 0.08 + 4.92. What is the nearest to q in r, k, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 8  (b) 0.002  (c) 1  (d) 1\/6  (e) 1\/24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes after 12:25 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001273877 to five decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1189576666 to the power of 1\/3, to the nearest integer?\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the second derivative of -1\/5*m**5 + 0*m**4 + 0*m**3 - 3*m + 0*m**2 - 6. Let v(h) = 4*h**3. Determine 4*a(i) + 5*v(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 165780116 to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, d: 1, y: 1, q: 3, i: 4}. Give prob of sequence gdq.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-8)\/(-6))\/(2\/6). Let u be (-6)\/(-39) - 48\/(-26). Suppose 6*c - u*c - 20 = 0. Solve -3*p + 4*q = -s*p + 18, -c*q + 18 = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 4, g: 1, h: 1}. Give prob of sequence hg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 333 and 2886.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -83113\/30 - -2770. Let u = -4\/15 - q. Let m = 115\/28 + -34\/7. Which is the second smallest value?  (a) u  (b) 0  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 12 = 0, o - 6 - 11 = -4*z. Solve 3*m + 19 = 4*v, -z*m = 3*v - 4 - 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -10, 2, 20, 44?\n\"Answer: 3*i**2 + 3*i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 31 - 33 = 0, -2*i + 114 = -2*j. What is the remainder when 165 is divided by 11*3\/i + 204\/10?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7189*r**3*t**2 - r**3*t + 18955*t**2 wrt r.\nAnswer: -21567*r**2*t**2 - 3*r**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -369 by 200.\nAnswer: -369\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 5, h: 2, e: 3}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**2 - q**3 - 1\/3*q + 1\/3*q**4 + 0.\nAnswer: q*(q - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-140)\/84*(-3)\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**3\/9 - 20*s**2\/3 - 200*s\/3 - 2000\/9.\nAnswer: -2*(s + 10)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5845620893 to the nearest integer?\nAnswer: 76457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-96)\/(-24)*(26\/(-6903))\/((-52)\/(-117)).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 967314, 0, -3\/5 in descending order.\nAnswer: 967314, 4, 0, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5  (b) 1\/6  (c) -1\/52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 + -6.7. Suppose 3*n - 2 = 2*n. Let m = 5.1 - 5.4. Which is the closest to -1?  (a) m  (b) n  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -190 + 208. Is 51778\/12 - ((-6)\/2)\/n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (35\/(-49))\/(3\/21)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 14 = -2*r + 26, -5*n = -4*r + 102. Suppose 2*p = 3*q - r, 27 = -2*p - p + 3*q. Let o(z) = 2*z + 6. Give o(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -12.68  (b) 37  (c) -1835\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 3*r**2 + 26149*r + 77. Let a(c) = -38*c**2. Calculate p(a(v)).\nAnswer: 4332*v**4 - 993662*v**2 + 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**2 - 107*f + 739. Let n(o) = -3*o**3 - 2*o**2 + 2*o + 1. What is the remainder when n(-4) is divided by j(7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2 + -1)\/(2\/4). Suppose -2*h + 2*t = -w, t - 5 - 6 = -3*h. Solve -3*z = 2*i + 7, 0 = i + i - h*z + 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3367 and 0.34.\nAnswer: 1144.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -13 + 34 + 27\/((-270)\/20)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -186309 divided by -1467.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -2*n**2 - 186*n + 2060 = 0.\nAnswer: -103, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 3 + 3)*(2 - n - 2) + n - 2*n + 4*n - 3*n + 0 + 0 to the form m + d*n and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12, 14, 28, 60, 116, 202, 324, 488?\nAnswer: 700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 67 - 65. Let 1\/2*k**i + 1\/2*k**4 + 0 + 0*k - k**3 = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve d + 1 = -n, 0 = -2*n - 5*d - 78 + 76 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (34\/119)\/((-5)\/7).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the first derivative of 4\/45*w**6 + 11\/24*w**4 + 1\/12*w**2 - 1\/3*w**5 - 4 - 3*w - 5\/18*w**3. Let g(h) be the first derivative of d(h). Factor g(p).\nAnswer: (p - 1)**2*(4*p - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 280197995 to the nearest integer?\nAnswer: 16739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (85\/(-3))\/5*-180. Suppose y = -14*r + 20*r. List the prime factors of r.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 55 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 267 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**2 - 6*j - 4. Let q be b(4). Let f be ((-20)\/(-15) - 1)*(2 + 4). What are the prime factors of q\/(-8) + 15\/f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 151031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*m + n + 65, 99*m = 101*m - 3*n - 48 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1762.\nAnswer: 2, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.25968 and -13.77.\nAnswer: -3.5757936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 3, i: 5, p: 5, b: 2}. Give prob of picking 2 b, 1 p, and 1 i.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2689 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:23 AM and 4:16 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 627 divided by 133\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 4 - 7)*(-1 - 2 + 2)*(-357*h**3 + 359*h**3 + 16 - 3)*(h + h - 4*h)*(-4 + 1 + 4).\nAnswer: 4*h**4 + 26*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 31427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**2 - 21*c.\nAnswer: 3*c*(c - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 26.2 - 1.2. Let l = z + -151. Let k = 140.2 + l. What is k rounded to 0 dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - w + 14 = 4*c, 5*c - 2*w - 31 = 0. Sort -3, 4, c in descending order.\nAnswer: c, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 - 1 - (35 - 43)) + 10.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 884, 6075, 15600, 29459, 47652?\nAnswer: 70179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8 + -5. Suppose 15 = 2*u + 4*s + s, 3*u - o*s + 9 = 0. Suppose 2*n + u*n + 2 = 0. Which is greater: -1\/4 or n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 10) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1362680 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 313672 (base 12) to base 16\nAnswer: bccf6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/5  (b) -2  (c) -60  (d) -0.06  (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -173500.3407 rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-5)\/4 - (-25)\/20. Solve -3*c - 9 = -n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1714446 and 0.8.\nAnswer: 1371556.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 197519, 395033, 592547?\nAnswer: 790061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -86*q + 8 - 570*q - 2.\nAnswer: -656*q + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.04278 and 2987.\nAnswer: -127.78386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**3 - 8*w**2 + 8*w - 4. Does 20 divide d(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 218291 is divided by 218275.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d**2 + 16191*d + 12022836 = 0. Calculate d.\nAnswer: -4508, -889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -62880 or -62879?\nAnswer: -62879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 17067\/6*(-24 + 26). Let l = -108067\/19 + z. Is l smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7142 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1042?\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1.47 - -1.57946. What is c rounded to 3 dps?\nAnswer: 0.109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 2*t - 41. Determine b(0).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -3.76, -4, -1 in descending order.\nAnswer: 3, -1, -3.76, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 806257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**5\/l**(-4))**(-26)\/((l**(-2\/7))**(5\/8)*(l*l**1)\/(l\/(l**4*l*l))) assuming l is positive.\nAnswer: l**(-6743\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2120344 (base 5) to base 3.\nAnswer: 1211000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -842 - -843. Let q be 80\/(-12) - (-6)\/9. Let x be q\/18 - (-10)\/(-78). What is the smallest value in x, s, 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 861240169\/20 - 43072840. Let x = s - -10826. Find the common denominator of -57\/14 and x.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes after 9:20 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 13\/21 - 1\/3. Let p = -60 + 60.4. Which is the biggest value?  (a) w  (b) 1\/3  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**3 - q**2. Let a(z) = 7*z**3 + 4*z**2. Let r = 96 + -90. Give r*b(x) + a(x).\nAnswer: x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 9 = g, 3*g + u - 21 = -0*g. Let h(f) = f**2 + 10*f + 12. Let t be h(-9). Suppose -3 = 2*d - t*d. Calculate the highest common factor of d and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 + 20 = -4*c. Let q be 2\/c + (-1048)\/(-52). What is the remainder when (50\/q)\/((-1)\/(-2)) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f + 11. Let t(i) = 1. Calculate b(n) - 5*t(n).\nAnswer: n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**3 + 39*d**2 - 38*d + 7. Let u be c(38). Solve u + 43 = 10*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1652 divided by -6?\nAnswer: 826\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2283 + 6791 + 5*b**3 - 2287 + 0*b - 2221 + 0*b.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 73007, 73013, 73019, 73025, 73031, 73037?\nAnswer: 73043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 785201, 784950, 784531, 783944, 783189, 782266, 781175?\n\"Answer: -84*u**2 + u + 785284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 48 - 146\/3. Which is the third smallest value?  (a) -2\/11  (b) q  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*h - 77*h - 680 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-1\/3)*b**1)\/(b\/b**(2\/5))**(-2\/11))**(-41) assuming b is positive.\nAnswer: b**(-5248\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g + 5*c + 69 = 0, -97*c + 103*c = 3*g + 102 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -56870*f**4*i - 8*f**4 + 2*f**3*i + 2*f**2 + 5*f*i - 52*i - 1518 wrt f.\nAnswer: -1364880*f*i - 192*f + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 30, 84, 186, 360, 630, 1020, 1554, 2256?\n\"Answer: 4*z**3 + 26*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.3943054km?\nAnswer: 394305400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32898\/(-87728)*(-3 + 7\/5).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 5*q + 3*q + q**2 + 7 - q. Let n be -2 - -1 - 40\/5. Is h(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 11\/2 of a millennium?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (-13287744)\/(-960) - 2\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 69183, 69166, 69149, 69132, 69115, 69098?\nAnswer: 69081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 43353 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 7*1519489\nAnswer: 10636423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 2*d**3 + 12*d**2 + 12*d - 10. What is h(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -2440 divided by 1649\nAnswer: -2440\/1649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -10989 less than 164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 c, and 1 a when three letters picked without replacement from {l: 2, e: 1, c: 4, a: 1, i: 3, y: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -433.\nAnswer: -5\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dsww. What is prob of picking 2 w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is (34\/60 + (-35)\/525)*464 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 70 = 5*n - 6*x, -34 = -2*n + x. Solve 0 = 31*j - 41*j - n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * 2.96.\nAnswer: -11.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 196932 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -170, -4, 4\/3, 4, 0?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + -2*5*(-2 + -1 + sqrt(1573))*-5)*3*-2)**2.\nAnswer: -6058800*sqrt(13) + 142412724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -8 + 2 + -4 + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the second derivative of m**7\/3360 - m**6\/720 - m**5\/480 + m**4\/48 - 5*m**3\/3 + 5*m. Let o(g) be the second derivative of p(g). Factor o(w).\nAnswer: (w - 2)*(w - 1)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/3270 and 19\/2241258?\nAnswer: 11206290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i - 2*i - 2*i)*(7*i + 16*i + 8*i).\nAnswer: -31*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*t + 180 = -860. Suppose 16*x + 105864 = t*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 21456315 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*(g\/(g\/(g\/g**(-6))))\/g*g)\/g*g*g**(3\/5))**(2\/143))**13 assuming g is positive.\nAnswer: g**(86\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3313477 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 137929 bigger than -175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the first derivative of -9\/5*a**5 - 2\/3*a**3 + 0*a**4 + 0*a**2 - 62 - 4*a. Find the third derivative of x(o) wrt o.\nAnswer: -216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2249810502.7268 plus -0.3?\nAnswer: 2249810502.4268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 4641\/(-462) + 6 + 13 + -9?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in -3, 0, 8\/289, -2\/7, -2\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Express (-7 + 0 - 1 + (-1 + 3 - 5)*(5 + 11 - 5))*(u + 5*u - 2*u)*(0*u - 5*u + 2*u) in the form v*u**2 + i*u + l and give v.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6145*v**2*y + 8*v*y**3 - 994780*y**3 wrt v.\nAnswer: 12290*v*y + 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 16\/5 - (-4)\/(-20). Let z = 12 - n. Let v = z + -2. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 14*p + 3. Give t(-10).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 55 and 50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12 + 8. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17369 is divided by 157.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from vdvsvsddvsv.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-112 - -116) + (2\/(-1) - (-3 - -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -335*v - 30*v**2 - 3*v**2 + 7 + 335*v + 43*v**2.\nAnswer: 10*v**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 373 + 367 = 0. Suppose 0 = -4*o - k + 4143 + 9896, 3*k = -h*o + 7007. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -388030 divided by 5.\nAnswer: -77606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -v - 4. Suppose 5*i + 54 + 79 = 4*w, 5*w + v*i = 125. Calculate the remainder when w is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**3 + 8*t**2 - 9*t + 9. Give j(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wbcwbcbbccbbbbbb. Give prob of picking 2 c and 1 w.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -140*i + 1402 = -283 - 555 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 + 112102100010?\nAnswer: 112102100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2729653617713480 + 2729653631793637.93899947. Let i = g + -14080158. Let o = -0.061 - i. Round o to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**2 + 2*t + 7. Let u be d(3). Solve -15 = -o + u*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**3 - 4*o**2 + 4*o. Let b be v(-5). Suppose -b*s + 345 = 5*y, -4*s + 2*s + 138 = -y. Let m = s - 46. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16949?\nAnswer: 17, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 18 = 2*n, -4*n + 2*k = -2 + 6. Let v = -1 - n. Let x = v - 4. Which is the smallest value?  (a) 4  (b) 0.1  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - 1 - (198\/(-12) - 7\/14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -8 and 0.1.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 0 + -3 - (1 - 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -5*a + 25. Let j(k) = 11*k - 50. Give 9*i(m) + 4*j(m).\nAnswer: -m + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -16334 times -372?\nAnswer: 6076248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(117)*1*1.\nAnswer: 5 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 3083*u**3 - u**4 + 2*u - 3083*u**3 + 1 + 6169*u**3 to z*u + c*u**3 + a + g*u**2 + v*u**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 52540 and 9310088.\nAnswer: 46550440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*o - 27*o - 16 = 0. Let a = 13 + o. Suppose 536 = 13*n - a*n. Calculate the remainder when n is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/3, -4, 29715?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = 1 + 3. Suppose -4*g + 10 = -j. Let v(u) = -u**3 - 28*u**2 + 31*u + 62. Let k be v(-29). Solve -c + g*c = k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/65 and 19845\/(-8775)*(2 - (-57)\/(-27)).\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c**2 + 88*c - 914. Determine s(10).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 3, 16, -5 in descending order.\nAnswer: 16, 3, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v**4\/3 - v**3\/3 - 6*v**2 + 16*v\/3 + 32\/3 = 0. What is v?\nAnswer: -4, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*b**3 + 1346876*b**2 - 5926478*b - 4040760 = 0 for b.\nAnswer: -134692, -3\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49821*s - 175 = -49891*s - 35 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -135 + 217. Let x = 112 - g. What is the closest to x in 2, -2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -211020011022112 - -12?\nAnswer: -211020011022100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (4*(-2)\/(56\/(-21)))\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l - 0*l - 18899994. Let y be 2\/(-3) + l\/3. What is y rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 2*i - 237 = 0, 0 = 2*x - 0*i + 2*i - 468. Suppose -2*g + 4*v + 51 = -105, 0 = -3*g + 5*v + x. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 299945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 169684 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4181604 - 1675492.\nAnswer: -5857096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8\/3 in 41, 1\/9, -1\/2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -251*q - 6 + 131*q + 125*q + 6.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 21459 equal to 21531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b**4 + 2108*b**3 + 6337*b**2 - 8444*b = 0.\nAnswer: -4, 0, 1, 2111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aahlbyaf. Give prob of picking 1 h and 1 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let b = 56.6115 - -1.3885. Put b, -4, 32 in decreasing order.\nAnswer: b, 32, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-62062)\/(-3146) - ((-92)\/176 + 1\/4)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -107307 divided by 11923?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10356800\/9 or -1150755?\nAnswer: -10356800\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c + z + 165, -c - 76 = -2*z - 6. Let j = -238\/3 - c. Factor 1\/3*b**5 - 1\/3*b + j*b**2 + 0*b**3 - 2\/3*b**4 + 0.\nAnswer: b*(b - 1)**3*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.047 + 0.353. Which is the nearest to 0.1?  (a) 0.06  (b) m  (c) 1\/5  (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 362 + -223. Calculate the least common multiple of 8 and r.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 3*f = -5*f - 11, 0 = 4*f. Calculate the highest common factor of c and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4\/11, 3\/7, -0.3, 0.033?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-15502)\/581325)\/(1\/20).\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lr when two letters picked without replacement from {e: 1, l: 4, r: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 15046229 divided by -49\nAnswer: -15046229\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the third derivative of 0*r**4 - r**2 + 1\/210*r**7 + 1\/336*r**8 + 0*r + 0*r**6 + 0 + 0*r**3 + 0*r**5. Factor l(f).\nAnswer: f**4*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the first derivative of 6*b**7 - 8*b**3 + 18. Find the third derivative of h(u) wrt u.\nAnswer: 5040*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20002110021 (base 3) in base 11?\nAnswer: 82089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -3*s + 7. Let n(y) = -6*y + 15. Let o = 61 + -56. Let j(v) = o*q(v) - 2*n(v). Let p(x) = -7*x + 11. Give -9*j(d) + 4*p(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {r: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -7*s + 1. What is the units digit of a(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2346*o + 591*o - 178*o - 3436*o.\nAnswer: -5369*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -65164 divided by -65164\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 70110 and 684?\nAnswer: 140220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 985 and 87271.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -35, 2 in decreasing order.\nAnswer: 2, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t**3 + 11525*t**2 - 100121165*t - 100132685 = 0. Calculate t.\nAnswer: -5773, -1, 3469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 8437130 or 2\/3?\nAnswer: 8437130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (301 + 30 + 302 + 330 + 160 - 37)*(1 - 1 - 7*j) as i*j + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 30\/(-9)*(-6)\/(-5). Let h be (3 - 0) + r + 3. Suppose 8 = h*t, 4*t - 5 - 3 = -2*p. Put p, -1, 4 in ascending order.\nAnswer: p, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f, 1 h, and 1 p when four letters picked without replacement from {f: 3, v: 1, c: 1, p: 3, b: 2, h: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -22*q + 5*q - 2 - 30*q**2 + 17*q as v*q + k*q**2 + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -940a (base 13) in base 12?\nAnswer: -ba0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the second derivative of h**3\/6 + h. Let r = -4 - -8. Let n be y(r). Let f(m) = -2*m + 4. What is f(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 241, 221, 179, 109, 5, -139?\n\"Answer: -o**3 - 5*o**2 + 2*o + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -5*r**4 + 6585*r**3 = 0.\nAnswer: 0, 1317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 5767699043 to the power of 1\/3, to the nearest integer?\nAnswer: 1793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/t**(2\/5))**(-40)*(t\/t**(-1\/6))\/(t**(-2\/19)*t))**(-42\/11) assuming t is positive.\nAnswer: t**(18935\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5  (b) 1\/3  (c) 4.9  (d) -5  (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 28320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 + 8. Let q be ((-28)\/1)\/(-2)*1. Suppose q + 16 = z*n. What is n rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2872200?\nAnswer: 2, 3, 5, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:36 AM and 6:36 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -2*n**3. Let h = -3 - -4. Let l(q) be the first derivative of q**2\/2 - 2. Let y(k) = h*x(k) - l(k). 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: -0.7*0.206\nAnswer: -0.1442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13548 and 55020686.\nAnswer: 2258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = n - 67, n - 4*n + 32 = 2*d. Let g = d - 10. Solve g*a + 8 = 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -e - b?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 107*z = 127*z - 360. Solve 18*h - 24*h = z for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 22 and 385.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * -214.\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes before 3:41 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x + 7. Suppose 4*o - 28 + 8 = 0. Let z be c(o). Find the second derivative of 0*g - 2*g + 0*g - z*g**3 wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1296 + 1863. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 80804021.\nAnswer: 709, 113969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Solve 19 = -11*b + 85 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 1872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 1560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 868 and 313999.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 256*f**4 + 2*f**3 + 23*f**2 + 6 wrt f.\nAnswer: 6144*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 207 - 809 = -10*h - 33*h for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-40 - -10) + 30 + -2 + 1 + 1 + 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30597203 is divided by 3399686?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 - 4. Let z be 0 - (4 + -6)*2. Suppose -r + z*y = 10 + 6, -35 = -5*r - 3*y. What is the nearest to a in r, -0.5, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 10*u**3 - 172*u**2 - 599*u + 27. What is m(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:17 AM and 5:53 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + 2*d + 4*q - 8 = 0, -3*d = 3*q - 24. Suppose -6*n = 3*n + 558. Let x = n + 62. Solve -d*y + m - 3 = x, 3 = -0*y + 5*y + m for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 300324.\nAnswer: 2, 3, 29, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/(-12)*((-4)\/(-1))\/2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5 - -5. Solve -4*k = 3*u - 15, -3*u + 6 = k - d*u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7*-2*(1 + (-33)\/6) is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -235*t**2 - 68*t**2 - 187*t**2 + 143*t**2 as s*t + n + h*t**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i*i**9*i)*i*(i**(-2\/21)\/i)\/i)\/(i**(-2\/9))**(2\/43) assuming i is positive.\nAnswer: i**(-30029\/2709)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 249903, 248391, 246879, 245367?\nAnswer: 243855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dddxxdxmmdx. Give prob of picking 3 d.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 161, 646, 1455, 2588, 4045, 5826, 7931?\n\"Answer: 162*p**2 - p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2798 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -797, -796, -795?\nAnswer: -794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i + 4*i - 4*i)*(i**3 - 2*i**4 - i**3) + (-5 + 5 + 2*i)*(38*i**2 - 40*i**2 + 44*i**2)*(3*i - 3*i - 4*i**2).\nAnswer: -340*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -133 + 67 - (9 - 169)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/2*(10 + -10 - -98). Calculate the greatest common factor of c and 2401.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**25\/w**(2\/53))**(14\/9) assuming w is positive.\nAnswer: w**(2058\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 3*t - t - 3 + 4 + 0*t. Let f(s) = -9*s - 2. Let j(r) = 4*r + 1. Let x(y) = 2*f(y) + 5*j(y). Calculate 3*n(b) - 4*x(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -491*x + 15. Let a be s(-11). Suppose n - a = 2584. What is n rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g\/g**4))\/g*g**(-2\/13)*((g**(1\/5)*g)\/g)**41*(g**6*g)\/(g*g**(-3\/2))*(g**(1\/2))**(4\/11) assuming g is positive.\nAnswer: g**(26781\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gggjjgggjgjgjaggjgg. What is prob of sequence jg?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*h = -15*h + 4. Let z(q) = 2*q**2 + 1. Let o be z(-1). Solve 0 = -f + o - h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**2 + 851*d - 852.\nAnswer: (d - 1)*(d + 852)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 3*h + 5. Let c(w) = -w - 1. Let m(r) = -4*c(r) - k(r). Calculate m(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 3*w + 11. Let f be p(-3). Suppose -6 = -3*d + f*d + 4*s, 10 = 5*s. Let v(c) = 4*c - 15. List the prime factors of v(d).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10364.\nAnswer: 2, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**2 + 4. Let w be m(0). Suppose n + 92 = 2*n - w*x, -3*x + 64 = n. Calculate the remainder when n is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the first derivative of z**4\/4 + 2*z**3 + 3*z**2\/2 - 7*z + 2. Let y = 15572 - 15569. Calculate the remainder when h(-5) is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 266536384.\nAnswer: 2, 4164631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4526*c - 12510 + 19511 + 12456 = -62011 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 553592699?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 3*j + 5. Suppose -u = -d - 9, -d - 27 = -5*u - 2*d. Is w(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/23?  (a) -4  (b) -5  (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.328 and 0.045.\nAnswer: -0.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**3 - 5*j**2 - 4*j - 11. Calculate x(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 2\/19  (b) 4\/3  (c) 0.5  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 j, and 1 r when three letters picked without replacement from xjjjrxjaj?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.43 + 0.4299264. What is p rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes after 1:10 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4502 - -4502.3. Let h = 0.61 + -39.61. Sort z, -5, h in ascending order.\nAnswer: h, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 314*h**3 + 5*h**2 - 6*h + 3. Calculate the least common multiple of 46 and m(1).\nAnswer: 7268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 8402619?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes after 7:19 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 5*p - 17. Solve -8 = -p*q + 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7081 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 100225111 divided by 677?\nAnswer: 148043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c**2 - 7*c - 2. Let b be m(-6). Suppose -2*p = -b*u + 6, 0*u = -4*p + u + 9. Solve -p*r + 15 = 2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10166 is divided by 8980?\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*-3 - (-1305)\/232?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171)\/(-1*sqrt(3)))\/(sqrt(27)*5))**2 + 1.\nAnswer: 244\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3417 - 3402.9775. Let l = v - 14. What is l rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + -1 + -30 + (27 - 18)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (6*(sqrt(304)*2 - sqrt(304)) - 2*(sqrt(304)*1 - sqrt(304)))*5)**2.\nAnswer: 240*sqrt(19) + 273601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7)\/(-5) + 1)*(-77959)\/15435882?\nAnswer: -2\/165","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -380\/41 or -10?\nAnswer: -380\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -0.2  (b) 5\/3  (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 - -7. Let k = 5 - b. Is k greater than or equal to -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1679780 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -343, -691, -1043, -1399, -1759?\nAnswer: -2123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-2\/17)*n*n*n**(2\/13))\/((n**(-1\/4)*n)\/(n\/n**(1\/6))))**(25\/2) assuming n is positive.\nAnswer: n**(140525\/5304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1112 (base 11) to base 16.\nAnswer: -5b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 7226 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 117, 440, 1327, 3060, 5921, 10192, 16155?\n\"Answer: 47*f**3 - 6*f + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13 - 13. Suppose -5*t + 40 = -m*t. Suppose 3*l = 38 - t. Solve 4*g - l = 2*b + 8, 2*b = 3*g - 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 5*x = a + 5, 0 = 2*x - 4. Let d(s) = -s**3 + 5*s**2 - 5*s - 2. Let o be d(3). Let c be o*(-238)\/22 - 24\/132. Sort c, -2, a in ascending order.\nAnswer: c, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 261*v**3 - 254*v**2 wrt v.\nAnswer: 1566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 54 - 54. What is the nearest to 0 in -6, -0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27976 = -100*q + 52555 - 26779 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -2*n + 817, -3*o - 2043 = n - 6*n. Suppose -135 + n = 3*a. Let p = a - 51. Calculate the greatest common divisor of p and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001678 rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(1\/4)\/o)**(-19\/3)*(o**1*o)**(-1) assuming o is positive.\nAnswer: o**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -3474848.\nAnswer: 1\/3474848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 5*q - 12 - 0, j + 4 = 0. Suppose q*t - 14 = -2*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 5.987391g?\nAnswer: 0.005987391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 + 8.1. What is the closest to w in 0, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -2 + (sqrt(1900) + 1)**2 + (sqrt(1539) + -3 + sqrt(1539)*1 + 0)**2.\nAnswer: -88*sqrt(19) + 8063","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-10)\/4*48\/40. Let y be f\/(-5) - (-17)\/5. Determine t so that -1\/4*t**y + 1\/4*t - 1\/4*t**3 + 3\/4*t**2 - 1\/2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14343012, 28686037, 43029072, 57372123, 71715196, 86058297, 100401432, 114744607?\nAnswer: 129087828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 292.00000405 - 292. What is y rounded to seven decimal places?\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 21 and 996.\nAnswer: 6972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 113 - 300?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1169300 and 393310?\nAnswer: 43264100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 60 from -112412.\nAnswer: -112472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/24 + 175\/4. What is the greatest common divisor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.1, 4, -0.07, 5, -33\/4, 18, -13\/6?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 2*p)*(2*p - 3*p - p) + 51*p**2 + 54*p**2 - 129*p**2.\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 168, 350, 522, 678, 812?\nAnswer: 918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*-3*((-220)\/(-75))\/(-22)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 19 - 25 = -b, -b - 5*g + 21 = 0. Let a(z) = 3*z**3 - 5*z**2 + z. Let f(l) = 2*l**3 - 4*l**2 + l. Calculate b*a(k) + 5*f(k).\nAnswer: -2*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 98 a factor of 1372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 154*r**2 + 137*r**2 - 453*r**2 + 144*r**2.\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u - 6*u + 734. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 2*i**2. Let r(a) be the second derivative of -a**7\/420 + a**4\/6 - 5*a. Let s(c) be the third derivative of r(c). Calculate y(s(l)).\nAnswer: 72*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2282\/(-1274) + (-6)\/(9 - 87).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z + 1 - 2. Let x be -10*(-4)\/(-70)*z. Let b(s) = -s**3 - s**2 + 3*s - 2. Let k be b(1). Is x equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the first derivative of -d**2 + d - 2. Suppose -2*n - 12 = -2*h - 0*h, 4*h + 4*n = -16. Give y(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 16 = -4*p + 2*p, 10 = 5*p. Suppose m = a, 3*a - 14188 + 868 = -3*j. Suppose j = 9*o - 3042. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-5)\/(255\/(-68)*6). Let y = -10.8 + 1.8. What is the closest to y in 1, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -35 + 40. Solve -v*c - 2*l = 3*l + 40, 2*c + 5*l + 31 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.375 at least -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a - 2*n - 21, -n - 104 = -5*a + 28. What is the remainder when a is divided by 11\/77 - (-1)\/(14\/96)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/665*1162\/249)\/(642\/(-535)).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -6307440 divided by -25640?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 257 = -5*p + 3*p, 0 = 3*w + 5*p - 139. Calculate the remainder when w is divided by 49.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 85\/(-2*(-4)\/8). Suppose -x = h - 6*h. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:52 AM and 5:41 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001780783346 rounded to 7 dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**2. Let a be 16\/10 - (-6)\/15. Let w(b) = b**2 - a*b**2 - b**2 + b**2. Determine w(t(c)).\nAnswer: -c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 108*k + 1699. Give u(-15).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -70*j - 372. Determine i(-9).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**3 - b**2 + 6. Suppose 3*q = -2*x - 3, 6 = 3*x - 5*q + 1. Calculate the smallest common multiple of 11 and m(x).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 71127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 5*3*(sqrt(600)\/sqrt(3) + sqrt(2)))**2.\nAnswer: 1320*sqrt(2) + 54466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -15, -4, -2, -12 in decreasing order.\nAnswer: -2, -4, -9, -12, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11.8 + -11.3. Sort -22, x, 0.3 in ascending order.\nAnswer: -22, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7573 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(80)*1 + -5 - (-1 + (sqrt(245) - (sqrt(245) + 1))))**2 + 0 + (sqrt(15) + sqrt(135)*5)\/(sqrt(12)*-5).\nAnswer: -128*sqrt(5)\/5 + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + -2 + 3 + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from {t: 4, a: 2, n: 6}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*p**2 + 26 - 101 + 16*p**2 + p**3.\nAnswer: p**3 - p**2 - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 186, 755, 1704, 3033?\n\"Answer: 190*t**2 - t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/432 and 97\/23832.\nAnswer: 142992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -259*t - 1. Let l(b) = -b**2 - 10130*b. What is i(l(c))?\nAnswer: 259*c**2 + 2623670*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19324?\nAnswer: 2, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**2 - 7*s - 7. Let w(x) = -x - 1. Let u(y) = 2*c(y) - 14*w(y). Let j(o) = -2*o. Let n(m) = -7*m. Let f(z) = -20*j(z) + 5*n(z). Calculate u(f(q)).\nAnswer: -50*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 970?\nAnswer: -1\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*i - 23*i - 5*b = 10661580, 4*b = 2*i + 5330816. Round i to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.96 + 0.04. Let m = 4 - 8. Let t = m + d. Which is the third smallest value?  (a) 1\/4  (b) t  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((6 - 6 + g)*(-3*g + g + 0*g) + 5*g**2 - 3*g**2 - 4*g**2)*(-3 + 3 - g**2).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 144 >= 1.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 524, 495, 418, 269, 24, -341?\nAnswer: -850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 160598 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/9*3270\/3815\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 4*t + 71 = 0, 2*o - 4*t = 3*o + 5. Let p(a) = 5*a + 6. Let n be p(o). Let r(u) = -62*u - 1 - 1 + n*u. What is r(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 499 = 8*p - 2629. What are the prime factors of p?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 2*r**5\/7 - 4*r**4\/7 - 4*r**3\/7 + 8*r**2\/7 + 2*r\/7 - 4\/7 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 315 = 2*v + 3*v. What is the remainder when v is divided by (-1 - (-4 + 1)) + 14?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2\/((-400)\/130)*22 + 7 and -41\/114.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-225)\/(-18) + -12)\/(3 + (-515)\/172)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1198, 4638, 10368, 18382, 28674, 41238, 56068, 73158?\n\"Answer: -v**3 + 1151*v**2 - 6*v + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1605731 is divided by 3277.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1320 and 180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from vtcvncntvvec?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15 + 10. Which is the second smallest value?  (a) -4\/7  (b) -4  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the second derivative of -f**7\/105 + f**5\/25 - f**3\/15 - f. Find i, given that z(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a + 14 = 2*u, 72*a = 3*u + 69*a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i + 12 = -16*h + 12*h, i = -4*h - 36 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes after 12:32 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o\/o**(1\/2))\/(o\/(o*(o\/(o*o**(-5)))\/o)))**(-1\/3) assuming o is positive.\nAnswer: o**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -59*a**2. Let c(f) be the first derivative of -13*f**3\/3 + 708. Give c(b(y)).\nAnswer: -45253*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 70.0955 grams?\nAnswer: 70095500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 4*w**2 + 76*w + 337. Let m be j(-13). Solve 5*h = a + 19, -m*a + 21 = -24*a + 5*h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 720 and 380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**3 - 2*h + 8. Suppose 0 = -4*r + 4*b - 24, -3*r - 3*b = 139 - 157. Determine s(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -35, -6, -10, 0 in descending order.\nAnswer: 0, -6, -10, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 56112279523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 84 = 6. Let x = m + 44. Let n = x - 31. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -122*n + 38225 = 184*n - 50*n + 1273*n for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1126*v + 2228*v - 1277*v - 2625 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 19 + -18.1. Let y = a + 12.1. Let r = y - 11. What is the closest to -1 in 4, r, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 6) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ujg when three letters picked without replacement from {u: 3, c: 5, g: 3, j: 2}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 116183 = -8279*c + 1336*c - 64335 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 2*j**3 + 181*j**2 - 1466*j - 24. Determine b(8).\nAnswer: 856","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 p when two letters picked without replacement from {n: 1, p: 4, l: 1, g: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -3*j - 5*v + 18, -4*j - 2*v = -26 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*y**2 - 477 + 477.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*z - 132 = 4*t - 19*z, z + 45 = -4*t for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d - 3*y - 0*y - 66, 45 = 3*d + 4*y. What is the common denominator of d\/(-1) - 5\/20 and -67\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -191*w + 16. Let q(g) = 58*g - 6. Let a(p) = -3*f(p) - 10*q(p). Let l(y) = 3*y - 6. Determine -2*a(d) - 5*l(d).\nAnswer: -d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:40 AM and 3:59 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.0852 - -1.3148. Which is the smallest value?  (a) -0.5  (b) -0.8  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**3 + 8*o**2 - 5*o. Let a be b(7). Suppose -4*u - 12 + 28 = 4*q, -5*q + a = 4*u. Let v(w) = u - 4*w + 2*w - w. Give v(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -45 - (34 + -45 + -33)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - (-11 - -7)) + (-1 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -636*z + 16 - 5 - 15 + 4.\nAnswer: -636*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 9\/12 - 12\/16. Suppose f = -6*w - 478 + 2212. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3065305*y**2 + 119598 wrt y.\nAnswer: 6130610*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -185 in -0.0146, 2\/13, -14, 0?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 177988 - 124030. Let c = 53922.0955 - g. Let a = c - -36. Round a to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3.7821 - 0.2179. Let y = 0.6 + -0.9. What is the smallest value in v, 5, 2, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1018 - 1002. Solve -5*c = -4*m + 20, 0 = -4*c - 7*m + 2*m - y for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*p - 12, -s - 26*p = -24*p - 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*q**4 - 21758*q**2 - 11*q - 82968251.\nAnswer: -16*q**3 - 43516*q - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 50 (base 11) to base 3\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21, -4, 43, 132, 275, 484, 771?\nAnswer: 1148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 21433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2984240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (0 - 1) + 76 + -72\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7416 = 2*t + 16*t. Let x = 705 - t. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9798 + 9804. Let w(s) = s**3 - 6*s**2 - 5*s + 11. Calculate w(z).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2570 + 2942. What is the least common multiple of p and 124?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 136 + (-13 - 118) + -106.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -19 - -127. Let g = 224 - f. What are the prime factors of g?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3404 divide 777269752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/(3\/15*-2). Let s be (l - -5)*1\/(-2). Is 46 + (1 - s)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -38*d**3 + 13*d**2 + 36*d + 13. Let y(k) = -19*k**3 + 6*k**2 + 18*k + 6. Let u(f) = 6*t(f) - 13*y(f). What is the second derivative of u(l) wrt l?\nAnswer: 114*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15161201 by -1903.\nAnswer: 7967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 4*y**2 - 189*y + 1437. Determine g(9).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add 41 and -12822824.8.\nAnswer: -12822783.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6)\/(30\/(-25)) - 2. Let a be (2\/(-4))\/(3\/(-12)). Differentiate -3*h**b + 3 + a*h**3 + 1 - h**3 wrt h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:31 AM and 8:32 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 0*c + 33 = -c, -4*c - 52 = -4*h. Let a = h + -6. Calculate the smallest common multiple of a and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -a**3*l**3*w**2 + 80*a**3*w**2 - a**2*l + 2*a**2*w - a*l**3*w**2 - 84*l*w**2 wrt a?\nAnswer: -6*l**3*w**2 + 480*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -33133703, -66267405, -99401107?\nAnswer: -132534809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the third derivative of -17\/30*n**5 + 4\/15*n**6 + 0*n**3 - 27*n**2 + 0*n**4 + 0*n + 0. What is the third derivative of z(f) wrt f?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/9  (b) -3  (c) -11  (d) 1.7357\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/2?  (a) -70  (b) -2\/13  (c) 2\/5  (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -3*m**3 - 25*m**2 + 61*m - 39. Calculate w(7).\nAnswer: -1866","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -0*r + 2*r. Let c(g) = g**2 + g - 2. Calculate the remainder when 6 is divided by c(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes after 11:12 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 6*z - 6. Suppose 0 = z*l + 1 - 4. Let y = 166 + -3819\/23. Do l and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1, 359, -3, 2\/7, -18?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*o + 5 = 12*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 208*a**2 - 208*a**2 - a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-380)\/(-80))\/((-5)\/(-140)). Suppose w + o - 429 = 0. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 94 - 150. Let x = 49 + b. Let q = x + 5. Is -4 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a = a + 322. Let q = 60 + a. What is the common denominator of (-2)\/8*284\/q and 187\/60?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9*h + 19 + 17 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 25, -3, 4, 5, -5, -4 in increasing order.\nAnswer: -5, -4, -3, 4, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/1428 and 97\/31008.\nAnswer: 217056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v**3 - 9*v**2 - 11*v + 12. Let b(u) be the second derivative of 2*u**3\/3 - 5*u**2 - 5*u. Let n be b(5). Let z be j(n). Solve -3*y = -z*y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 - (15 + (38 - 54))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 526534197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-8)\/(-20) - ((-1071)\/(-120))\/17)*2. Which is bigger: r or 23.23?\nAnswer: 23.23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/6*(-15)\/2. Let t = -1 - o. Suppose t*i = -5*c, c + i + 2 = 1. Solve -u = -5*u + c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 101*o**2 - 261*o**2 + 161 - 165.\nAnswer: -160*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(78)\/(-3*sqrt(30)\/sqrt(5)).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 179*x + 47*x - 223*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + 8*b = -263*c + 259*c - 11, 7*b = -10*c - 33 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 456713 is divided by 228263.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 + 237)\/(2\/2). Suppose a + 71 = h, 4*h + 3*a - q = 39. Suppose r + 0 = 2*b + 8, 0 = 2*r + 2*b - 22. What is the highest common factor of r and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/8 and 5\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 bigger than -1088.698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a and 1 t when four letters picked without replacement from {a: 5, t: 7}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/42)\/((-3)\/(-9)) - 336\/(-980)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(((sqrt(108) + 2*sqrt(108) - sqrt(108))\/sqrt(6))**2 + -3).\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -17446 - -1814399\/104. Calculate the common denominator of -141\/140 and x.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1605, 3164, 4667, 6096, 7433, 8660, 9759, 10712?\nAnswer: 11501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes before 8:30 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.03  (b) -2\/7  (c) 0.2  (d) -3  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*b**3 - 13*b**3 - b**3 - 22*b**3 - 22*b**3.\nAnswer: -54*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, i: 9}. What is prob of sequence did?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -75 - -78. Suppose w*l + 3420000 = -2*l. What is l rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12031463989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20 + 27. Let o(a) = -a + 18. Let m(w) = -2. Let p(h) = 5*m(h) + o(h). Calculate p(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2732494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: ((-696)\/10)\/(642\/(-535))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 4*q - 59 = 0, 5*g - 4*q - 217 + 18 = 0. Is g a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61916177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (((-1 - 1 + 3)*(4 + 1 - 3) - 2 - 1 + 1 + 2 - 4 + 0)*(-3 - 1 + 1) + (-4 + 0 + 3)*(-38 + 11 + 75))*(2*b + 2*b - 6*b) to w*b + i and give w.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3\/2, -2\/3, 67?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 3*i - 4. Let k(a) = -i + 0*a - 3*a - a + 4*a**2 - a**3. What is k(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.31637 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16483740 by -5.\nAnswer: -3296748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1067 + 398. Let a = g - 974. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -12080 + 12120. Calculate the least common multiple of 3700 and a.\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**2 - 2*u - 1. Let n be m(3). Let w be 68\/6 + (-4)\/(-6). Suppose -n*a + w = 4. What is the least common multiple of 22 and a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-1)\/(-8))\/(1\/14)*40 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**3 - 6*i**2 - 6*i + 10. Let p be x(-7). Suppose -2*q + 1 = p. Round q to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 118.5354 kilometers in centimeters?\nAnswer: 11853540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - (-2 - -4))*(1 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3.7 - -24.7. Let h be 9*5\/15 - -7. Let w = h + -41\/4. Which is smaller: w or r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88)*2*5)\/(sqrt(200) + sqrt(200) + (sqrt(200) - (sqrt(200) + (sqrt(200) - (sqrt(200) - sqrt(200)*-1)))) - sqrt(200)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 + -3. Let q(k) = -k**3 + 6*k**2 - 5*k - 11. Let y be q(4). Solve g*i + 1 = -y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -11041*s + 4778*s + 5591*s in the form z + j*s and give j.\nAnswer: -672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**2 - 13*s + 31. Let d be u(-15). Suppose -31 = 4*b - 2*b + 3*n, -2 = b - 3*n. Let w be -1 - 0 - b\/14. Which is smaller: w or d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 - 1 - 1 - 86*y**2 - 22*y**2 as b + l*y + p*y**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 3*d - 2. Let p be h(3). Solve -i - 11 = 4*i - 2*w, -5*i - 4*w + p = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 17124 and 426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -690.1 - -589.1. Which is the nearest to -1?  (a) -0.1  (b) p  (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-64)\/128*(-2)\/4 + -1.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 514333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41*t + 2549578 - 2549578.\nAnswer: -41*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3346 from -1.9141214.\nAnswer: -3347.9141214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-10 - (-7 - -11) - -6) + 18. Solve -2 - l = 6*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -53, -15, 41, 109, 183, 257?\nAnswer: 325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2288\/27 - 3434297\/40527. Which is greater: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 2*j - 2. Let b be g(3). Suppose -3*t + 98 = b*t. Calculate the lowest common multiple of 12 and t.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*a**2 - 3 + 6*a**2 + 1 + 199*a**2 - 127*a**2 + 241*a**2 - 4*a**2 + a**2 + 6*a**2 + (2 - 2 + 2*a)*(-a + 1 - 1) in the form m*a + q + f*a**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12289.\nAnswer: 12289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ldrliihli. Give prob of sequence rii.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -3*l**2 - 10*l. Let j(k) = -11*k**2 - 20*k. Determine 5*c(h) - 2*j(h).\nAnswer: 7*h**2 - 10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3332551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1404 (base 7) in base 15?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 89445031483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 157102 or 157166?\nAnswer: 157102","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 + 110423?\nAnswer: 110430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4008 is divided by 296?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(160) + sqrt(10))\/sqrt(5) - (sqrt(2) - sqrt(800)) - ((sqrt(288) - 1*sqrt(288))*-4 + sqrt(288)*1*-1 + sqrt(288)))**2 + 0.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**3 - 357*k**2 - 2178*k.\nAnswer: k*(k - 363)*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -221067 by 121.\nAnswer: -1827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 688 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 2 h when three letters picked without replacement from oochcccoophqcoccpp?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8839 = -50*v + 46739. What is the remainder when v is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 - (-3 + 2428\/812). Let w = t - -368\/3857. Sort -4, w, 5.\nAnswer: -4, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 844901000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 101 (base 2) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -183*m**2 - 159*m - m**3 + 45*m + 114*m + 460 with respect to m.\nAnswer: -3*m**2 - 366*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -10*w**2 + 42*w + 83. Let v(q) = 7*q**2 - 28*q - 55. Let y(t) = -5*c(t) - 7*v(t). Let f be y(16). Solve f*j = 5*a - 19, 0*j + 4*a - 17 = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 0*s - 4 = 0, 0 = -3*l + 5*s + 19. Find the third derivative of 3*x**l + x**2 + 65*x - 65*x wrt x.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = -5*j + 186, 2*j + 2*w + 2*w = 72. Let d = 11 - 28. Let h = d + j. What is the remainder when h is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jac when three letters picked without replacement from ejcjqffjfcffa.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 201139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 2052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 8622835, -12 in increasing order.\nAnswer: -12, -2, 8622835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 38305823*h - 19398100 wrt h?\nAnswer: 38305823","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 10802837900 rounded to the nearest one million?\nAnswer: 10803000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(133)*1)\/(sqrt(448)*-1).\nAnswer: -5*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**0)**(-9)*(x*x**0)**(-44))\/((x**4*x)\/x**(-2\/21))**(1\/11) assuming x is positive.\nAnswer: x**(-10271\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2.77 + 4.48. Let w = k - 1.05. Put -3, 0.4, w in decreasing order.\nAnswer: w, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -5*y - 97 - 147, -y + p - 52 = 0. Let i = -46 - y. Solve -2*l - 2 = i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -6 and -2112?\nAnswer: 12672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -27.2 + -1.4?\nAnswer: -28.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 93\/(-27)*(-9)\/2*12\/54*-27?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7 minus 5.23?\nAnswer: -4.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 1 u when three letters picked without replacement from duddddddududuudddu?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 3439324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a = -4*s - 20, -s = -2*a - 11 + 16 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -11, -34, 367?\nAnswer: 367","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -16915\/6 + 2819. What is the nearest to 3\/46 in 2\/5, -0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 447 + -423 + -3 + 12 + -7\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 4 - 6)*(70 + 23 - 28)*(-h + 2*h - 2*h)*(0 - 5 + 3 + (0 - 2 + 4)*(-3 + 5 - 3)).\nAnswer: 260*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + q + 46557 = 0, -3*q + 37257 = 337*d - 333*d. What are the prime factors of d?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 + -1. Let f be (-9 - t)*(2 - 0). Let b be (-378 + 3)*f*2400. Round b to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -4*s. Let a(t) be the third derivative of -t**5\/15 + t**4\/24 - 2385*t**2. Determine n(a(v)).\nAnswer: 16*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 11*n - 128. Let h be ((-81)\/(-54))\/(21\/154). Determine j(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1101110 - 10100100?\nAnswer: -100010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 15*c**2 + 22*c - 1. What is l(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/72*6)\/(1\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cbjjaqbn. Give prob of sequence nqb.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -18*k**3 - 7*k**2 - 3*k + 5. Let t be g(-4). Suppose t = 4*h + 245. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7 - -23) + -17 - (1 - -6)) + -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 4*i - 11, -5*i + 12 = 2*p - 19. Suppose r = -0 + 2. What is the second derivative of 4*n**r + p*n - 2*n - 3*n**2 wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.056895 times -1?\nAnswer: 0.056895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes before 9:08 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of -o**8\/392 - 2*o**7\/245 - o**6\/140 - 11*o**2. Solve d(y) = 0 for y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 35 - 34.6. Let r = -3.136 - -0.036. Let u = 3 + r. What is the third biggest value in u, s, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 511737 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1 + 0\/(-3) - (-3 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 913589?\nAnswer: 913589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j - 6. Let f(k) = 2*k + 11. Let z(d) = 6*f(d) + 11*v(d). Let i(w) be the third derivative of w**5\/60 + 2*w**2. Determine z(i(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-112)\/6)\/(2 + 1587\/(-792)). Let h = k - 3462. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/6 of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.9 - 0.1. Let l = v + 3.1. Which is the closest to l?  (a) -4  (b) 5  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 3344898, 6689794, 10034690, 13379586, 16724482?\n\"Answer: 3344896*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**25*q*q\/(q\/q**(3\/23)*q))**0 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -13619360 rounded to the nearest ten thousand?\nAnswer: -13620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + (2 - (-8 - -4)) + (3 - (13 - 5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 divided by 12?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-21)\/(-84))\/(2\/(-8)). Sort -58, k, 2 in descending order.\nAnswer: 2, k, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34830 to the power of 1\/2, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3626 and 107966?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.2878 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, g: 1, u: 2, j: 1, i: 2}. Give prob of sequence ji.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -3*r**2 + 2*r**2 - 3*r - 24 + 21 + 3*r**2. Suppose 24 = 5*g + 4. Suppose 10 = g*p - 2. Determine t(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -13*d**2 - 224*d + 12. What is y(-18)?\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/1 + 0 - -3. Let c = l - -3. Suppose -c*f + 31 = -j, 5*f + 30 = -3*j + 77. Solve 1 = 3*t + f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 12, 4, -3 in decreasing order.\nAnswer: 12, 6, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**3 - 12*i**2 - 16*i. Is h(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vbs when three letters picked without replacement from {b: 4, s: 2, v: 1, o: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.14*13.\nAnswer: 1.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 468219 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -27 - -27. Suppose a*h + 203 = 3*h + 2*o, 2*h - 3*o = 157. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 84 = 2*q. Let j = 11 - q. What is the hundreds digit of 3*(4 + (51 - 1) - j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -46*r. Let h(z) = 34*z. Determine d(h(b)).\nAnswer: -1564*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -3226, -3333, -3440, -3547, -3654, -3761?\n\"Answer: -107*x - 3119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -50 + 6 + -1 + (-29 + 8 - -32)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -41 - -20. Let m = n - -5. Let b = 16.0000008 + m. What is b rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -38190257900 rounded to the nearest 1000000?\nAnswer: -38190000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (3\/2)\/(21\/98). Let i(f) = -21*f**3 + f**2 + 6*f + 2. Let v(z) = -10*z**3 + z**2 + 3*z + 1. Let d(h) = y*v(h) - 3*i(h). Is d(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 9*s**2 + 11*s - 50. Let l(n) = -10*n**2 - 10*n + 56. Let f(a) = -5*l(a) - 6*t(a). Factor f(u).\nAnswer: -4*(u - 1)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 188447753 a multiple of 2145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14 - 21. Let k = s + 3. Let n(w) = -12*w - 20*w + 50*w - 17*w + 2. Determine n(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 46 + -44. Calculate the highest common factor of 3 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-1 + sqrt(14)\/sqrt(7))**2.\nAnswer: -2*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, t: 2, w: 10}. What is prob of picking 1 w and 1 t?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llvbfavlvavlvlbv. What is prob of picking 3 v and 1 b?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -52 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -63, -3\/7, -4 in increasing order.\nAnswer: -63, -4, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 80, 325, 726, 1277, 1972?\n\"Answer: -o**3 + 84*o**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2  (b) -3  (c) -1\/6  (d) -0.5  (e) -1.63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7601005 + 592906 = -21*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yqjm when four letters picked without replacement from qtjyotm.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 948652.5 microseconds to minutes.\nAnswer: 0.015810875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -51  (b) 2\/5  (c) -3  (d) -96\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 0.4, 0.02, -0.05, -2.32 in increasing order.\nAnswer: -5, -2.32, -0.05, 0.02, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3, -50, -137, -258, -407, -578, -765, -962?\nAnswer: -1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 5*k - 23. Suppose 14*j - 22*j + 2024 = 0. Calculate the greatest common factor of j and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 + -3. Let a(m) be the second derivative of m**4\/3 - 2*m**3\/3 - m. What is the smallest common multiple of a(q) and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 18 + -8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 8 = 0, 0 = 2*n - o - 3*o + 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 81 a factor of 59118174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.662 - -498441427.2?\nAnswer: 498441427.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -u - 5*t, -2*u + t + 3*t + 52 = 0. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nkkyk. Give prob of sequence yn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*k - 4*k - 2*k**2)*(5*k - 5*k + k**3)*(32 - 18 + 20).\nAnswer: -68*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2*m + 0)*(10 - 13*m - 10)*(0 - 3 + 1 + (1 + 1 - 1)*(2 + 1 - 2)).\nAnswer: -26*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -123*i + 27*i = 598 - 790 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 932072263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**3 - 5*l**2 - 2*l + 2. Let v be u(4). Let x(w) = w**2 + 11*w + 2. Let h be x(-9). Let q = h - v. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -3*d. Let g(b) = -117*b - 25. Let z(q) = 22*q + 1. Let h(i) = g(i) + 5*z(i). Determine h(k(j)).\nAnswer: 21*j - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h - 4483 = 4*l - 4539, -2*l + 37 = -h for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (5\/4)\/((-1)\/(-4)). Solve -i - v = -2 - 0, -3*i - p*v + 2 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 132, 213, 246, 231, 168, 57?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 46900 to the nearest one thousand.\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 541 a factor of 433263637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12401?\nAnswer: 12401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -221400032 (base 5) in base 10?\nAnswer: -965642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 40 = -5*s, -4*k + 80 = -3*s - 12. What is the remainder when 54 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -32254332 divided by -2?\nAnswer: 16127166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, -8.3, 2, 0.2?\nAnswer: -8.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*r - 1152439 - 971771 = 1541798. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3.8 - 4. Let h = 0.966 - 1.186. Sort h, 7\/4, j.\nAnswer: h, j, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**3 + 7*b**2 + 12*b + 4. Let m be d(-3). What are the prime factors of 18\/(-3)*(-14)\/m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/12)\/(48\/2304)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5971 times 814?\nAnswer: 4860394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**3 + 11*f**2 - 9*f + 16. Let p be j(-11). Let q = -31 + p. Does 28 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p. Let z(q) = 14*q - 8. Let w(t) = -42*t + 26. Let m(x) = -5*w(x) - 16*z(x). Give r(m(b)).\nAnswer: 14*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence idi when three letters picked without replacement from iiiiiiiiiiddiiid?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1581*b + 198 = 1603*b. Let k be 251\/4 + 1\/4. Calculate the greatest common divisor of b and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the second derivative of l**3\/3 + 635*l + 2. Let h(g) = 171*g**2. Determine h(u(t)).\nAnswer: 684*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 143.7 - 146.7. Which is the closest to -0.4?  (a) 1  (b) s  (c) 0  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1  (b) -296  (c) 1\/3  (d) -3  (e) 17  (f) -236\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -406 + 407.91. Let z = k - 1.9003. Round z to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**3 + 12*c**2 - 1. Let x be s(12). Let h(w) = -2*w**2 - w - 1. Let b be h(x). What is the tens digit of b\/(-13) + (-1745)\/(-65)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18.1 times -17174\nAnswer: 310849.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/(v**20*v))\/v)\/v)\/v**(18\/5)*v\/(v\/((v*(v*v*v**(1\/9))\/v)\/v))*(v*v**(-7))\/v assuming v is positive.\nAnswer: v**(-1417\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -3*g**4\/7 + 3396*g**3\/7 + 3462*g**2\/7 - 71244*g\/7 - 152955\/7 = 0.\nAnswer: -3, 5, 1133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 3 + 4)*(-9 + 3 - 6)*(3*g + 4*g - 4*g) in the form u + h*g and give h.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: -2 * 273264\nAnswer: -546528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*a**4 - a**4 + 3*a**4 + (-3*a + 0*a + a)*(-62*a**2 - 39157*a + 39157*a)*(-4*a + 0*a + 2 + 3*a).\nAnswer: -127*a**4 + 248*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 105 + -105. Suppose 258*u - 257*u - 6 = w. Let f = -5 - -11. Calculate the highest common divisor of u and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*sqrt(648)*4*6)\/((sqrt(400) - sqrt(400)*2*2) + sqrt(400) + (-1*sqrt(400)*6 - sqrt(400) - sqrt(400)) + sqrt(400) + sqrt(400)))**2.\nAnswer: 13122\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 100*s + 4*s**2 - 100*s - 23*s**2 in the form y*s**2 + i*s + u and give y.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 3*b**3 + 81*b**2 - 78*b + 176. Let z be n(-28). Solve 6*g = 8*g + z, -3*g - 4 = 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-4\/9))**(2\/25)\/((((q**(-30)\/q)\/q)\/q)\/(q*q*q*q*q**(8\/5))) assuming q is positive.\nAnswer: q**(8677\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1034819.33 rounded to the nearest 10000?\nAnswer: -1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-2)*(4 + (0 - 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**2 + 2*n + 4. Let c be x(3). Suppose 0*s = -6*s - 12. Let i be 0\/((-2)\/s) - 3. Put -5, i, c in decreasing order.\nAnswer: c, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 37 + -35. Solve 4*k = 5*p - 13, k = 2*k + 4*p - t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (6389 - 12696 + 6035)*(2*z + z - 4*z)*(-5 + 3 - 1) as g*z + i and give g.\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 5*i = -21, a + 2*a = -5*i + 7. Suppose -a*s = -0*s - 332. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (55 - 63) + (0 - 1) + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes after 1:06 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 - 8*s**2 + 10*s + 20. Let x = 13 - 7. Let n be a(x). Solve n = l + l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 663.4074mg to grams.\nAnswer: 0.6634074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 155004 = -v, 4*v - 183032 = 2*b + 126984. Round b to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4523977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*y**4 - 3*y**2 - y**3 - 4 - 284*y - 329*y + 3 + 6*y**2 - 5*y**2 as f + u*y**4 + a*y**2 + d*y**3 + l*y and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-1\/10)\/(i**(-1\/9)\/i*i)*(i**(-8\/7)*i)\/((i**(2\/11)\/i)\/i) assuming i is positive.\nAnswer: i**(11687\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2537941?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -368 + 362. Let y(r) = -45*r - 11. Let d(v) = 23*v + 6. Give g*y(w) - 11*d(w).\nAnswer: 17*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-218)\/(-4) - (-2)\/4. Suppose y + 0*y + 4*c = 31, 3*y - 3*c - 18 = 0. What is the highest common divisor of y and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 0 + 59670\/(-204)*(1 + -3) is divided by 76.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qsqsqqqqqsqqqqqqqq?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 20*t**3 + 2*t - 1. Does 16 divide v(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7\/2, 5, 1557\/5, 0.02, -0.5 in decreasing order.\nAnswer: 1557\/5, 5, 7\/2, 0.02, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2 + 88\/10 - (-8)\/(-10). Let h be 4\/u + (-49)\/(-21). Solve 0 = -l - h*d - 1, 0 = -4*l - 5*d - 3 - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the second derivative of -p**5\/20 + p**4\/12 - p**3\/6 + 3*p. Let f(d) = -3*d**3 - 6*d. Let t(y) = -f(y) + 6*z(y). Factor t(r).\nAnswer: -3*r**2*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the third derivative of o**6\/120 + o**5\/15 + o**4\/24 + o**3\/6 - o**2 - 3*o. Calculate m(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.12, -4, 1, -13, 0 in decreasing order.\nAnswer: 1, 0.12, 0, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 554 is divided by 81?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes before 10:11 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 47\/4 of a meter?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 2783 = -k, 2*y - k + 3*k = -2788. Let s be y\/2*(-36)\/(-27). What is the common denominator of 59\/24 and s\/(-140) - 44\/110?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 217210 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the second derivative of u**4\/8 + u**3\/2 + 3*u**2\/4 + 94*u. Suppose z(r) = 0. What is r?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is n in 2*n**5 - 191*n**4\/2 + 927*n**3\/2 + 1661*n**2\/2 - 931*n\/2 - 735 = 0?\nAnswer: -5\/4, -1, 1, 7, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2604942 is divided by 4719.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*d = 8*d - 9*d. Suppose d*c + 2*c = 6. Solve -c*o - 3 = -0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 24844?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 464576932, 464576934, 464576936, 464576938, 464576940, 464576942?\nAnswer: 464576944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1018773500 rounded to the nearest 1000000?\nAnswer: -1019000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**2 + 6*s - 16. Let g be c(9). Let t = g - -60. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6421, 6435, 6449?\nAnswer: 6463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -430 + -112. Let h = 42 + j. Round h to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 36075012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 5 + 3*g - 4*g)*(5*g + 4*g - 5*g)*(g**2 + 0*g + 0*g) as a*g**3 + q + i*g**2 + s*g**4 + x*g and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3\/8, -0.01684, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7*x - 6*x + 0*x)*(8*x - 8*x + 6*x**2) + 2*x**3 + 1 - 1 to s*x**3 + k*x + g*x**2 + z and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (-5 - (-1 - 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 2*d - 25 = -5*m, -2*m + 2*d = -8. Suppose -5*p = 2*i - 25, i - 20 = -3*i. Let u = m - p. What is the greatest common factor of 36 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**2\/11 + 78206824*y\/11 + 764538415020872\/11.\nAnswer: 2*(y + 19551706)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**2 - 9*s + 2. Let a be f(-9). Suppose 18 = -a*h + 5*h. Suppose 5*v - 5*r + 15 = 0, -4*r - 10 = -h*r. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l**5\/15 - 2*l**4\/15 + 898*l**3\/15 - 526*l**2\/3 - 32*l\/15 + 3496\/15 = 0. What is l?\nAnswer: -23, -1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k = -2*t - 40, 5*k + 19 + 57 = -t for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/44*4\/8*8. Let -4\/11*f**3 + 0 + 6\/11*f**2 - g*f = 0. Calculate f.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4444840 or 4444839?\nAnswer: 4444839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 3.14, -2, -0.1 in ascending order.\nAnswer: -2, -0.3, -0.1, 3.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -3*d - 2. Suppose 4*f + 8 = -4*v, 0 = -5*f - v + 5 + 1. Determine b(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*p + 3. Suppose -p*o + 20 = 3*o. Let m(v) = v + 8. Let k be m(-6). Calculate the highest common divisor of k and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 - -7. Suppose 2*k = -k - w + 12, -3*k - 5*w = -24. Let b(m) = -k*m**v + 0*m**2 + 0*m**2. Let p(h) = -h**2. What is p(b(q))?\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 a factor of 1620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-36)\/18)\/(-1*1*-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -161 + 161 - l as t + h*l and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 take away -0.8705622765555?\nAnswer: 1.3705622765555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**2 - 3*v + 6 + 0*v**2 - 2*v - 3*v. Determine r(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/8 + (-549)\/36. Let h be (-14)\/21*n\/2. Solve 4 = -s + 3*s - 2*y, -4*y = -h*s + 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/((-16)\/(-12)))\/((-1316)\/(-282)*3\/(-49)).\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -83, -19, 175, 565, 1217, 2197?\nAnswer: 3571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 3*i = 22, j - 5*i - 9 = 8. Let h(f) = f**3 - 7*f**2 + 8*f + 17. What is the units digit of h(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1548023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + 58 = 4*o + 26. Let d(j) be the first derivative of j**2 + 1\/4*j**4 + j - o + 2\/3*j**3. Give d(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 123 + -117. Suppose -f*a - 4457 = -57365. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 15\/17861 and -107\/26.\nAnswer: 464386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j, 1 q, and 1 r when four letters picked without replacement from {r: 1, i: 1, j: 6, q: 3, y: 5, h: 3}?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (2*((-13)\/143)\/(-1)*-11)\/(16\/22)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 335 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*u*x**3 + u*x**2 - u*x + 1075*u - x**3 + 5701*x**2 - 33*x + 2 wrt x.\nAnswer: -42*u*x + 2*u - 6*x + 11402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -4*i. Let s(j) be the third derivative of 11*j**5\/20 - j**3\/3 - 76*j**2 + 1. Calculate g(s(k)).\nAnswer: -132*k**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10071 = 22*t + 3317. What is the remainder when 921 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j - 16. Let k(o) = 1367*o**2 - 5*o - 80. Let v(h) = -7*k(h) + 35*w(h). Let z(r) = 2*r. Determine z(v(n)).\nAnswer: -19138*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 46 = 4*o, -4*o + 8*o = 5*c - 150. What is the remainder when 73 is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 5 + 2)*(55 + 15 + 38)*(2*q**2 - 2*q**2 - 3*q**2).\nAnswer: -324*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 100 - -213?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + u - 15*u - 157*u.\nAnswer: -171*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -2*j + 1353. Let b(y) = 6*y - 4077. Determine 2*b(n) + 7*z(n).\nAnswer: -2*n + 1317","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -7*r**2 - 17*r + 21. Let c be q(-9). Let a = c - -685. List the prime factors of a.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*w + 95 - 823. Calculate the least common multiple of 70 and w.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -51539, -206134, -463789, -824504, -1288279, -1855114, -2525009?\nAnswer: -3297964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16540 + 52457. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**3 + 9*x**2 + 18*x - 3. What is p(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -315*o*w**2 + 542161*o + 1589*w**3 wrt w?\nAnswer: -630*o*w + 4767*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**(1\/4)\/b*b**(-17\/4)*b)\/(b**15)**(2\/3) assuming b is positive.\nAnswer: b**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 658780*q**3 + 372*q - 107.\nAnswer: 3952680*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.122 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 170 - 94. What are the prime factors of y?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*i**3 - 25*i**2 + 25*i**2)*(2*i - i + 0*i)*(2 + 3 - 3).\nAnswer: 10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4850 - 7083. Is v at least as big as -2233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-2 - -2 - -1)*-3)\/(-1). Solve 2*m = 2*z - 3*m + 2, -3*z = -m + v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3304*x**5 - 95*x - 7?\nAnswer: -66080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2209 - -7484. Calculate the remainder when m is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((9 - 10 - 43)*(3 - 6 + 1) + 1 + 1 - 1)*(16 + 4 - 5 + 0 - 3 + 2 - 2 + 2 - 2 + (1 - 1 - 2)*(2 + 4 - 4))*(-2*d + 4 - 1 + 0*d) as w + u*d and give w.\nAnswer: 2136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (8 - 1 - 11)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2251 - -2247. Let g = -3.08 - -0.08. What is the nearest to -0.2 in h, g, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*f - 2*f - f)*(7 - 1 + 3 + (-4 + 2 + 3)*(-2 + 5 - 1)).\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -20, -5, 7 in decreasing order.\nAnswer: 7, -1, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13065509 is divided by 11148?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 9*u**2 - 5. Let r(m) = 14*m**2 - 8. Let p = 5 - 10. What is p*r(n) + 8*q(n)?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-63)*(-28133)\/(-48228).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12564006 divided by -182?\nAnswer: -69033","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-90 + 62 - 102)*(-2 - 2 + 6)*(-j + 2 + 7*j - j).\nAnswer: -1300*j - 520","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**3 + 8*q - 61. Let x(k) = 3*k - 20. What is 3*g(v) - 8*x(v)?\nAnswer: 3*v**3 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.55 in 11, 0.5, 3089?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (-8)\/(-7) + (-1288)\/1127.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 4\/483 and 31\/2415.\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11384*n**3 + 5663*n**3 + 5725*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 126472653 divided by 69?\nAnswer: 1832937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 475 - 473. Is (-4768085)\/(-805) - f\/23 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m**2\/9 + 908*m\/9 - 1808\/9 = 0. Calculate m.\nAnswer: 2, 452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 4938074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30758 is divided by 15373?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -5  (b) 1\/2  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b + 4*b - 3 - 6*b)*(10*b**2 + 9 - 9)*(5*b - 5*b - b).\nAnswer: 20*b**4 + 30*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 918\/255*165\/2. What is the highest common divisor of 396 and i?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15259*l + 12 = 15260*l + 5*u, 0 = -l - 4*u + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-9)*(-1)\/(4\/30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1113144431 (base 5) in base 4?\nAnswer: -21130033233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**3 + 7*v**2 - 8*v + 9. Let x be d(6). Let m = -18 - x. Let c = m + 34. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 22 - 202?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes after 3:54 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the first derivative of z**5\/20 - z**4\/12 - z**3\/6 - z**2 + 2*z - 6. Let i(v) be the first derivative of w(v). Give i(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the second derivative of r**4\/12 + r**3\/6 + 7*r**2\/2 - r. Let v = 9 + -7. Suppose -3*f - v*t = 6, -3 = 4*f + t - 0. Give b(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 495*n - 16962 + 19497 = -33411 - 14049 for n.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3352, 5939, 8528, 11119, 13712, 16307, 18904?\n\"Answer: m**2 + 2584*m + 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the third derivative of m**5\/60 - m**4\/4 - 5*m**3\/6 - 4*m**2. Let p(f) = f**2 - 3*f - 4. Let g be p(5). Calculate l(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 2*a**2 + 0 + (-2 + 2 - a**2)*(2 - 1 + 1) + 3*a**2 - 2*a**2 - 2*a**2)*(0 + 2 - 3)*(-6 + 6 - 2*a) to u*a + o*a**3 + j + v*a**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -15*b*j**2*z - b*j**2 + j**2*z - j**2 + 2*j*z - 13*j wrt z?\nAnswer: -15*b*j**2 + j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 381482 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 215, 439, 653, 851, 1027, 1175?\n\"Answer: -t**3 + t**2 + 228*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1717750 and 500.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z. Let p(q) = -q**2 + 6*q + 6. Let a(x) = p(x) - 4*u(x). Suppose 3*n + 5 = 8*n - 5*i, n = -3*i - 19. Give a(n).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + 2 + -4 - (-610)\/(80\/8)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 1 = -t, 2*t + 5 = b + 3*t. Suppose 0 = -b*w - 212 - 428. What is w rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 23*j*v*w + 313*j*v - j*w + 16*j + 39541*v*w + 2*v - 12*w - 1 wrt j.\nAnswer: 23*v*w + 313*v - w + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 50953*y**3 - 3395*y**2 - 108 wrt y?\nAnswer: 305718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 24575816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*y = -594*y + 496 + 648 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -2*d**2. Suppose 0 = 5*y - 0*y - 10. Suppose -s - 4 = -3*j, 0 = -5*j - y*s - 3*s + 20. Let n(p) = -4*p + 4*p + j*p - 4*p. Calculate h(n(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 9\/2182 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7739745?\nAnswer: 3, 5, 13, 19, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 1. Let j(h) = 7 + 5*h - 7 + 4. Let c(l) = -4*a(l) + j(l). Let r(n) = 3*n**2. Give r(c(d)).\nAnswer: 75*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 - -212220222001221?\nAnswer: 212220222002010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**2 - 6*d. Let v be q(6). Let l(x) be the third derivative of x**4\/24 - 13*x**3\/6 - 6*x**2 - 11*x. Let p be l(-8). Sort v, p, 3 in descending order.\nAnswer: 3, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -18 + 21. Suppose -3*p + 3*w + 15 = 0, a = -p + 4*w + 17. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -589a (base 11) in base 10?\nAnswer: -7732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**2 + 18*l - 77. Give w(15).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - 129 - 55. What are the prime factors of h?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 596093784?\nAnswer: 2, 3, 11, 13, 173687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 5 = 3. Let z(x) = 0*x**o + x**2 + 3*x**2. Let c(p) = -1. Let i(f) = -3*f + 3. Let v(d) = -3*c(d) - i(d). Determine z(v(h)).\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and 4906?\nAnswer: 2453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20837*c - 20867*c = 0. Let c - 2*z - 1\/2*z**2 = 0. Calculate z.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x + 23. Let c(l) = 13231*l**2 - 48*l. Determine b(c(o)).\nAnswer: -13231*o**2 + 48*o + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 19.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**3 - 6*j**2 - 2*j + 2. Let k be (-4 - -1)*(-770)\/6. Let x be k\/66 - 2\/(-12). Suppose 2*a + x + 6 = 3*m, -m + 2*a = 0. Determine s(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -a + -8?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -22 + 22.2. Let b = -14.3 - -15. What is the third smallest value in -5, a, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**4\/7 + 22*h**3\/7 + 127*h**2\/7 + 212*h\/7 + 108\/7.\nAnswer: -(h - 27)*(h + 1)*(h + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q + 41. Let l(j) = -8. Calculate -11*l(r) - 2*o(r).\nAnswer: 2*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 49 + -47. Factor -4*b**3 - 4 - 11*b**p + 10*b**2 + 1 + 4*b + 4.\nAnswer: -(b - 1)*(b + 1)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 1\/11, 0.5, -12, -65, -2\/3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 219864 is divided by 43607?\nAnswer: 1829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 - -7. Let a = 1 - 1. Suppose -14*i + 19*i - 15 = 0. Solve -z*r - 5 - i = a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -10068*p**2 - 15*p - 5. Let z(r) = 95646*r**2 + 144*r + 48. Give 48*j(g) + 5*z(g).\nAnswer: -5034*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 + 2. Suppose 4*h - h = s. Suppose 2*u - 4*u + 52 = h. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 717393507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 3*r**2 + 14*r - 34. Let s be k(2). Solve 0*x = 3*x - s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9420825 or 9420798?\nAnswer: 9420798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1, 177, 487, 941, 1551, 2329, 3287?\n\"Answer: 2*v**3 + 54*v**2 + 2*v - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 45423527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -5*f + 66, 0 = -2*a + 5 + 1. Let w be (4\/6)\/((-15)\/45). Let l = w + f. What is the highest common divisor of l and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11831, 23689, 35547?\nAnswer: 47405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 - -7. Suppose -i = -j + 2*i - 5, -3*i = -v*j + 23. Suppose -2*w - 8 + 9 = -w + 5*r - 13, 0 = -r. Calculate the highest common factor of j and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25576 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -29*o**2 - 21*o**3 - 48*o**2 - 81*o**2 - 19*o**3 + 37*o**3 to c + m*o + g*o**2 + b*o**3 and give g.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 37 - 53. Let d be (-568)\/l - 2\/(-4). What is the highest common divisor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the third derivative of 3\/8*r**6 + 0*r**3 - 121\/24*r**4 + 0*r + 0*r**5 + 0 + 280*r**2. What is the second derivative of m(z) wrt z?\nAnswer: 270*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1142416 is divided by 27863.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3934*t**5 + 7*t**2 + 32049*t wrt t?\nAnswer: -78680*t**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.12 + -0.2. Let u = -1.82 - b. Round u to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 164 = -186. Suppose -3*r + b = 2*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (40\/(-60))\/(4\/(-138)). Let y(z) = -z**2 + 21*z - 31. Let v be y(18). Suppose -979 = v*u - 4682. Calculate the highest common divisor of u and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the second derivative of s**3\/6 - 19*s. Let q(p) = -20*p. Give q(a(r)).\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -41*h. Let u(o) = 6*o**2 + 11*o**2 - 18*o**2. What is u(d(f))?\nAnswer: -1681*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**2 - k + 53. Let t(p) = -p**3 + 6*p**2 + 20*p - 4. Calculate the remainder when m(0) is divided by t(8).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the third derivative of 0*x**3 + 0*x**6 + 0*x**7 + 0*x**5 + 0*x + 7*x**2 - 1\/3*x**4 + 0 + 5\/336*x**8. What is the second derivative of n(b) wrt b?\nAnswer: 100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p - 5*p**2 - 61 - 4*p + p**3 + 62 - 4*p. Let w(j) = -j**3 + 4*j**2 + 6*j - 1. Determine -5*w(q) - 4*x(q).\nAnswer: q**3 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -11, -1\/3, 7\/10?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**2. Let t(r) = -r**2. Let u(d) = 5*t(d) + 4*x(d). Let c(o) = 91*o + 21. Let m(q) = 9*q + 2. Let v(p) = 2*c(p) - 21*m(p). Calculate v(u(j)).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -10ab1a (base 13) in base 16?\nAnswer: -60789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1\/4))**(-8)*(h**(-1\/3))**(-3\/22) assuming h is positive.\nAnswer: h**(45\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -6538*v + 4. Let c be g(-2). Let z = 19097 - c. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 60 = -2*f - 18, 48 = -2*l - 5*f. Is (-2)\/(-14) - 936\/l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0067 minus 77.28643304?\nAnswer: -77.27973304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 14 - -696.9\nAnswer: 710.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1531231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2545146 + 4?\nAnswer: -2545142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*o**3 + 10643980*o**2 + 149014985*o + 521551590.\nAnswer: 5*(o + 7)**2*(o + 2128782)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 19*l**2 - 3*l + 1. Let h be c(2). Suppose 21 - h = -5*y. Calculate the remainder when 27 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*x - 20 = -3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -14 times -86\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 2*v**2 + v - 5. Let z be j(-7). Let t = -42 + z. Suppose 4*x - t = -2*u - 0*u, 5*x - 76 = -4*u. Calculate the highest common factor of 35 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-9)\/(-6) + (-1)\/4. Which is the second smallest value?  (a) 0.7  (b) -2  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xq when two letters picked without replacement from uhhhxhqx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 14214 + 378?\nAnswer: 14603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -601*r - 1582*r - 76*r + 838*r.\nAnswer: -1421*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8 + 5. Let w(r) = -r**3 + r**2 - r + 1. Let k(i) be the third derivative of -i**6\/120 + i**5\/20 - i**4\/8 + i**3\/2 + i**2. What is u*w(p) + k(p)?\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add together 33 and -9575.\nAnswer: -9542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.135 + -1.1350569. What is v rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 226\/17 - 2126\/119. Let h = 1 + -5. What is the third biggest value in 5, n, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**3 - 11*l**2 - 3*l - 16. Let p = -86 - -75. Suppose -38*z - 45 = -43*z. What is the remainder when y(p) is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7900 + -7900. Suppose -4*o - 28 = -8*o. Solve -3*f + 1 - o = x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 600.2428 tonnes?\nAnswer: 600242800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1181 - -20?\nAnswer: -1161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7592 and 276.\nAnswer: 523848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in -0.1, 0.3, 9, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9484, -9483, -9482, -9481?\nAnswer: -9480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -3, 3, -4, -2 in increasing order.\nAnswer: -4, -3, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 4) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -41*z**2 + 265*z + 11. What is n(7)?\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3 and 603328?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -2*l + 0*l - 2*l. Let u be z(-1). Find the second derivative of -2*x - 4*x**3 - x - 2*x**3 + u*x**3 wrt x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:18 PM and 5:59 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -46*r + 1207. Calculate c(7).\nAnswer: 885","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (76\/(-532))\/((-21)\/6).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*c + 36 = -19. Let i be (-36)\/(-6) + (0 - -2 - c). Let f be 0 - (-4 - 2 - -1)*i. What is the highest common divisor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8 - -14. Let g = -23\/4 + y. Determine q, given that -1\/4*q**4 - g*q - 3\/4*q**3 + 0 - 3\/4*q**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 539366 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 37\/10 > 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*k + 35*k - 7*k + 16718*k**2.\nAnswer: 16718*k**2 + 16*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-110)\/10 - -9 - -9\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 7 + 40\/(-10) + (0 - -19). Calculate the greatest common factor of j and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w - 4*v + 259, 0 = -3*w - 2*v + 7*v + 148. Suppose -5*z - 5*l = -155, 12 = -z + l + w. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 798 by 711.\nAnswer: 266\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 107*w + 506 = -146*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2 + -10)\/3 + 70. Suppose -15*d - t = -4*d. Sort d, 1, -4, -1.\nAnswer: d, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 37884, 75768, 113652, 151536?\nAnswer: 189420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -679*f**3 - 686*f**3 + 2038*f**3 - 691*f**3.\nAnswer: -18*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4746 and 18720?\nAnswer: 14807520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1259 + 1451 = 8*x. Suppose x = 5*q - 6. What is the biggest value in 2, -2\/23, -1\/7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -36 - -52. Let w = h + -16.1. What is the closest to w in 2\/7, -5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hoxpp. Give prob of picking 1 x and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 take away -420?\nAnswer: 419.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the second derivative of r**5\/20 - 5*r**4\/3 + 11*r**3\/3 - 3*r**2 + 2*r - 917. What is q(19)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -13 + g**3 + 102 + 15613119*g**4 - 15613113*g**4 as a*g**2 + h*g + q*g**4 + i*g**3 + f and give f.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -211 - -2035?\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 11263896, 22527779, 33791662?\n\"Answer: 11263883*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((3*sqrt(171) + sqrt(171))*1)\/(sqrt(9) + sqrt(1296) + -4*sqrt(1296)))**2.\nAnswer: 304\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dtd when three letters picked without replacement from {d: 3, y: 1, t: 1, w: 5, l: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -18 + 28. Let y = f + -9.9919. What is y rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -12549*k**2 - 73041 with respect to k.\nAnswer: -25098*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 39*(-87)\/39 + 84.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 15, 2, -49, -162, -361, -670, -1113, -1714?\n\"Answer: -4*p**3 + 5*p**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -86, -480, -1136, -2054, -3234, -4676, -6380?\nAnswer: -8346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) 0.2  (c) 1  (d) -4\/3  (e) 4\/3  (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(2\/35)*v*v**16*v*v**(4\/11)\/(v\/v**(-3\/7)))**46 assuming v is positive.\nAnswer: v**(316618\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes before 2:05 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 5*a**3 - 715*a**2 + 28280*a - 341040 = 0.\nAnswer: 28, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the first derivative of -j**4\/2 + 4*j**3\/3 + j**2 - 2*j + 1. Suppose -4 + 0 = 2*i. Is 9 a factor of h(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 3 = h. Suppose -5*u + 5*d + 54 + 26 = 0, -2*d = -u + 20. Suppose 4*j = 6*j - u. Solve -b - 2 = 0, h*w - 2*b = -5*b + j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v - 0*v - 4*h - 7, 4*v - h + 2 = 0. Suppose -t - 11 = 5*j, 1 = j - 1. Let y be (-9)\/(-6)*4\/t. Which is greater: y or v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8, -11, -8, 1, 16, 37?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m\/(m*m*m\/(m*m**(-2\/5)*m)))*m*m**(-2\/3))\/(m*m**(-9)*m*m\/m**(-10\/7)) assuming m is positive.\nAnswer: m**(662\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 + -5 + 7 + 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((k\/(k*k**(-2\/3)\/k*k*k*k)*k)\/k)\/(k**(2\/9)*k*k))\/(k**(-6)*k**(2\/5)))\/(((k\/(k**6\/k))\/k)\/k**0*k*(k*k**(-2\/3))\/k*k**(-4)\/k) assuming k is positive.\nAnswer: k**(527\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*o + 49 = -23 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (43 - 51) + 10 + 10 + -44\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0177 rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -161*v**3 + 3*v**2 + 299*v**3 - 8*v**2 + 5*v**2 - 159*v**3.\nAnswer: -21*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**2 - 11*r + 8*r - 1 - 9*r**2. Let b be w(-2). Let q = b + 39. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 262 + -262. Which is bigger: -5\/4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -15761931*c**2 - 2*c - 20354603.\nAnswer: -31523862*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 300 = -4*k, -4*k - k = -3*b - 374. Let w be k\/(-13) - (-12)\/(-78). Let m(g) = g + 2. Calculate m(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1 or -729\/115?\nAnswer: -729\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 11*g + 744. What is the tens digit of j(22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 188?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1736436405 to the nearest integer?\nAnswer: 41671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -6*b**2 + 13*b - 34. Let s(i) = 11*i**2 - 27*i + 73. Let j(a) = -5*d(a) - 2*s(a). What is j(2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.56205 and 452.\nAnswer: 706.0466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7 by 3910.\nAnswer: 7\/3910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 25 = -s, -s + 0*c + 9 = c. Suppose 4*y - 6*b - 35 = -b, 0 = -y + 2*b + s. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12334079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -21.879 less than 700417?\nAnswer: 700438.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10762 is divided by 969.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u - 3*x - 10, 2*x = -4*u - 0*u - 30. Which is the biggest value?  (a) u  (b) 4  (c) -66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/(129\/63 + -2). Let a = -18 + z. Suppose -a*j = -13*j + 50. What is the nearest to 4 in 3\/2, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -22  (b) 0.2174  (c) 3  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 54.7 or -278?\nAnswer: -278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 640248 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -33165 or -2863?\nAnswer: -2863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 0*g - 3*m = -334, -g + 5*m = -50. Suppose -g = -3*q - 11. Calculate the greatest common factor of q and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -829644.49 rounded to the nearest one thousand?\nAnswer: -830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 + 4*z + z**2 + 2 - 15 + 6 in the form u*z**2 + c*z + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 5*b - 590, b + 2*c + 118 = 2*b. What is the remainder when b is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1788 divided by -6\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 94283.450024 + -94283. Let i = -0.45 + t. What is i rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -26 + 102. Let b = m + -74. Solve -b*c = c + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 5, m: 2}. What is prob of sequence lmml?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 2132, 2231, 2392, 2615, 2900, 3247, 3656?\n\"Answer: 31*j**2 + 6*j + 2095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8090 - -8087. Let x(d) = 2 + 20*d**2 + 6 + 5*d - 2. What is the hundreds digit of x(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 16 and (-624)\/(-84) - (-4)\/7.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3012*h = -3009*h - 24 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 23.39363 centuries in millennia?\nAnswer: 2.339363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 161 = d - 5*h, 2157*d - 2161*d + 629 = -5*h. Calculate the lowest common multiple of d and 22.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c + 2*c + 8. Suppose c*n - 3*s = 11, 5*s + 13 = -0*n + 4*n. Suppose -41 = -3*k - 2*y, n*k = -k - 4*y + 31. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 2, -149803 in descending order.\nAnswer: 2, -6, -149803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20 - 3012*o + 4*o**2 + 3059*o - 2*o**2 + 20.\nAnswer: 2*o**2 + 47*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2585\/37 + -17991\/481. Let t = 72136\/2223 - l. Which is bigger: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 517162.\nAnswer: 2, 258581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**3 + 4*s**2 - s - 8. Let z be h(4). Let m be 4 - ((-76)\/z - 3). Let l = -2.3 - -2. Which is the closest to m?  (a) l  (b) 1\/4  (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.24*574090\nAnswer: 137781.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:24 AM and 12:20 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*y**2 - 4*y**2 + y**2 + 1 + (3 - 3 - 2)*(-y**2 + 1 - 1).\nAnswer: 7*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f, 1 q, and 1 m when four letters picked without replacement from {f: 2, m: 3, z: 2, r: 2, t: 3, q: 6}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (5*(sqrt(112) - sqrt(112)*5))\/sqrt(2916))**2 + -3.\nAnswer: 20677\/729 + 320*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 - 158948\nAnswer: -158948.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the third derivative of -i**6\/270 - 276*i**5\/5 - 342792*i**4 - 1135327104*i**3 - 30*i**2 - 2*i + 1. Solve y(m) = 0.\nAnswer: -2484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 1 k, and 1 h when three letters picked without replacement from {c: 2, k: 2, h: 1, v: 1, y: 1, q: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 6*o - 120 = o, -3*t + 90 = -5*o. What is the remainder when 162 is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.194 + 4.806. Which is the closest to 0.1?  (a) j  (b) -0.4  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1154616511.\nAnswer: 97, 283, 42061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*o + 1 - 8*o - 5)*(3*o - 3 + 3).\nAnswer: 3*o**2 - 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 35494 and 10.\nAnswer: 177470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -3944090.8941 + 2614.3?\nAnswer: -3941476.5941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((-4*(sqrt(95)*2 + sqrt(95)))\/(sqrt(5) - (sqrt(5) + sqrt(320)))*-5 + -5).\nAnswer: -45*sqrt(19)\/2 - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d**2\/3 + 2462*d\/3 + 149332 = 0. What is d?\nAnswer: -1009, -222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -5*r**2 + 3*r + 11. Let q(l) = 4*l**2 - 3*l - 9. Give -3*o(v) - 4*q(v).\nAnswer: -v**2 + 3*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 14, 2, -24, -70, -142, -246, -388, -574?\n\"Answer: -d**3 - d**2 - 2*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 - 0. Let v(p) = 64*p**2 - p - 1. Let u be v(-1). Suppose -5*h + 20 = 0, 4*n + q*h - u = -0*h. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the second derivative of -3*a + 30833\/2*a**3 + 0 - a**2. Let i be u(-2). Round i to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4447 + 4699. Calculate the greatest common factor of f and 216.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1294 - 1294.79. Which is the nearest to 2?  (a) d  (b) 0.4  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 116 = 614. Let c = -117 + t. Let h be (((-124)\/8)\/(-31) - -10)*(-36)\/(-54). What is the highest common factor of h and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + (-2 + 0 - -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1749 is divided by 79.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1730)\/8650)\/((-8)\/(-80)*-13)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 + (1 - 11) - 1) + 24 + -54.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-32))\/((-10)\/60)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -12252413 (base 6) to base 9\nAnswer: -663020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4.05*879.\nAnswer: -3559.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 563497 is divided by 4083?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppm when three letters picked without replacement from ppummppppspppm.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/18 and -83\/2080512.\nAnswer: 2080512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.28, 0.4, -0.5, 0.5, -2.9, 13?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 2*z**3 - 19*z**2 + 5*z + 40. Let l be a(9). Solve 0 = l*f + b + 13, -2*f = -0*f - 3*b - 11 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/4, 3, -40\/17.\nAnswer: -40\/17, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes before 8:44 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.5 in -14\/3, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(2\/47)\/(g*g**(2\/31)*g))\/(g\/g**(-2\/35)*g\/(g*g**(1\/3))) assuming g is positive.\nAnswer: g**(-420062\/152985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 22*r - 6 - 2 + 11*r.\nAnswer: -11*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -14*v**3 + v**2 + 8*v - 6. Let f(h) = 41*h**3 - 3*h**2 - 23*h + 17. Suppose 5*x + 47 = -38. Determine x*w(a) - 6*f(a).\nAnswer: -8*a**3 + a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1514052.\nAnswer: 2, 3, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*z + 4900 = -87*z - 123*z for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 46\/10 + (36\/20)\/(-3). Suppose 2*i = -r - 2*i - 14, -k*r + 28 = -5*i. What is the first derivative of 3*m**4 + 9 + 2941*m**2 - 2941*m**r + 8*m**4 wrt m?\nAnswer: 44*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-88*c**3 - 2*c**3 - 10*c**3)*(-1 - 1 + 1)*(0 + 0 + 1).\nAnswer: 100*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 70 and 279727490.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -0.2  (b) 2  (c) 0.2  (d) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l*(l**6\/l)\/l*l*l**(-3\/13)*((((l\/(l**(-1\/4)*l))\/l)\/l*l)\/l)**(-1) assuming l is positive.\nAnswer: l**(391\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 9870.029 days?\nAnswer: 852770505600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -11010110111 (base 2) in base 9?\nAnswer: -2320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -48589, 7 in increasing order.\nAnswer: -48589, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*i - 4*i + 2*i)*(-1 - 2 + 5)*(338 + 425 - 1009) to the form w + y*i and give y.\nAnswer: 3444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 21695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 11 = -9*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - 3) + (1 + 1 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 2*w**5\/9 + 10354*w**4 + 4003546*w**3\/9 + 11451542*w**2\/9 + 3755060*w\/3 + 3724000\/9 = 0.\nAnswer: -46550, -40, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*n = 27*n - 24. Suppose n*m - m = 0, 4*m + 24 = 4*b. Let q(v) = -57*v - 332. Let p be q(-6). Solve -b*l = -p*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 14*c**2 + 23. Let g(v) = 2*v - 4. Let l be (-2)\/7 - (-30)\/(-42). Let f be g(l). Let j(s) = -5*s**2 - 8. Calculate f*r(d) - 17*j(d).\nAnswer: d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -17 - -13. Let a(d) = -d**3 + 4. Let o be a(0). Put 5, o, s, 0 in decreasing order.\nAnswer: 5, o, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*l - 3*l = 12. Suppose 0 = y - 4*w - 32, l*y = y - 4*w + 4. Calculate the lowest common multiple of 3 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.42 + -0.776. Round k to two decimal places.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the third derivative of 0*q**3 + 0 + 1\/45*q**5 + 8*q**2 + 0*q + 0*q**4 - 1\/180*q**6. Let w(l) = 0. Calculate l.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10021620 (base 7) in base 4?\nAnswer: -3022121010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31 = 8*q - 4*q + 5*a, 4*a = 3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2592 + 1735 + 893 - 498 - 831)*(2 - 2 - 2*a).\nAnswer: -7782*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g - 4*g + 15. Suppose 0*t + t = 6. Let i = -2 + t. Solve g*r = -2*s, 0 = 5*s + i*r - 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2*p - 1)*(p**2 + 2*p**2 - p**2) - 2*p**3 - 2*p**3 + 2*p**3 - 7*p + p**3 + 0*p + 7 - 23*p.\nAnswer: 3*p**3 - 30*p + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -38570, -77145, -115732, -154337, -192966, -231625?\nAnswer: -270320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 2438*y - 875. Let q(v) = 2*v. What is f(q(d))?\nAnswer: 4876*d - 875","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 488 divide 1800853712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*w**2 - w**2 - 3*w**2 - 17 + 5*w**2 + 17 + (-4*w - 2*w + 5*w)*(4*w + 0*w - 6*w) + (-10 + 11*w + 10)*(w + w - 3*w).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0.057*319264.6\nAnswer: 18198.0822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6201 (base 7) to base 10.\nAnswer: -2157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -808*(-3 + -3 - -5). Suppose 5*p = z - 3. Is p a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 + -1051330?\nAnswer: -1051333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((x*(x\/(((x*x**(-1)*x)\/x)\/x))\/x)**(-4\/25))**22)**(-3\/4))**(-7\/4) assuming x is positive.\nAnswer: x**(-231\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 353797 is divided by 176877.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-4)\/5)\/2)\/(378\/315).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 405 + -2419\/6. Find the common denominator of i and -59\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -6082 + 8?\nAnswer: -6073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 295 - 1197 = 0. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, a: 3, j: 2, t: 1, b: 3}. What is prob of picking 1 b and 1 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 11\/3, -3, -0.14, 0.4, 324 in decreasing order.\nAnswer: 324, 11\/3, 0.4, -0.14, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -204 - -157 - (4 - (-1 - -6) - -2)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0349 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 1*(-2*sqrt(272))**2 + ((sqrt(272) + (sqrt(272) - (sqrt(272) + -1))*1)**2 - (sqrt(272) + 2 + sqrt(272) + (sqrt(272)*-2)**2)).\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -7*j + 73. Let g be d(10). Solve -3*a = g - 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 291 = 2*z - 0*z, 4*w + 3*z - 405 = 0. Suppose -2*y = 2*m - 36, 10*y - 8*y = -5*m + 24. What is the highest common divisor of w and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 + -0.047895.\nAnswer: 0.952105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 297435 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1989\/357 - 3\/(-7). What is the common denominator of -5 - 1461\/(-162) - a\/3 and -103\/108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/105 and -71\/124700805.\nAnswer: 872905635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - b = 15, -15 = 3*h - b - 0*b. Let m = 32.9 - 33. Put m, h, -1 in descending order.\nAnswer: m, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 4, -2\/9, 104, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 8) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -3, -2, 13, 11 in descending order.\nAnswer: 13, 11, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*i**2 - 3*i**4 + 4*i**2 + (2*i + 0*i + 4*i)*(2*i**3 - 3*i**3 - 2*i**3).\nAnswer: -21*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2362 and 0.83.\nAnswer: 1960.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 - -84 - 3\/1. Let a be z*(-5 + 2 + 5003). What is a rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 + (-27)\/1 + 12\/2352*2723.\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, c: 10}. What is prob of picking 2 c?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -4, -129310.\nAnswer: -129310, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 582170261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*r**5 + 3153*r**4 - 11694*r.\nAnswer: -40*r**3 + 37836*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 389439 is divided by 5269?\nAnswer: 4802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -59 + 56.7. Let a = d + 7.3. What is the second biggest value in a, -1\/2, -2\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 50 - 50.244. Let v = m + 0.104. Sort v, 2, -3, 4.\nAnswer: -3, v, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 17.4332509 to 2 dps.\nAnswer: 17.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*r + 60843 - 1503573 = 0. What is the thousands digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 4 - 1)*(b - 5*b + 0*b) as c*b + d and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 10, 47, 98, 169, 266, 395, 562, 773?\n\"Answer: u**3 + u**2 + 27*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 22*w - 4. Suppose 39 - 12 = 3*n + 18. Let o(z) = -21*z + 3. Determine n*p(b) + 4*o(b).\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2769*j = -4*w + 2772*j - 21, 15 = -w + 4*j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the third derivative of -v**5\/12 + v**2 + 96*v. Let z(s) = 13*s - 7*s - 3 + 8*s - 1. Give z(t(u)).\nAnswer: -70*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 2*w = -30, 3*b = -b + w + 11. Suppose -b = -2*l + 4. Suppose -4*d + 3*d = -2. Calculate the remainder when l is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*w - 379*n + 382*n - 13, 5*n + 48 = -3*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**1*f)\/f**(-1\/31) assuming f is positive.\nAnswer: f**(63\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:57 PM and 5:39 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 45  (b) 695  (c) -3  (d) 5  (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 89*w**3 - 1. Let g be q(1). Let o = g + -1494\/17. Which is the nearest to -2\/3?  (a) -1\/3  (b) 2  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/(-1)*-8*14\/56. Solve -a + 0*a = 2*o - 3, -t*o = -2*a - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -34079320 rounded to the nearest one million?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q*q**(-4)*q*q*q\/((q\/q**(-1\/4))\/q)*q assuming q is positive.\nAnswer: q**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -3*b + 5. Let w be v(10). Let l be w\/(-9) + (1 - 4). Let a = 0.2369 - -4.7631. What is the smallest value in a, 0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2.48 and 0.4?\nAnswer: 2.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= -15973?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in twenty-six fifths of a microgram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes after 10:55 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 9  (b) 1.1  (c) 0.4  (d) -1  (e) 2\/11  (f) -2\/51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rx when two letters picked without replacement from {r: 2, n: 1, x: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the third derivative of b**7\/70 - 27*b**6\/40 - 25*b**5\/4 + 27*b**4\/8 + 62*b**3 + 168*b**2 - 4*b. Find s such that f(s) = 0.\nAnswer: -4, -1, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*q - 8*p = 27, -5*q = -23*p + 20*p - 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a + 4*r - 4739, 5 = 2*r + 3. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 517 is divided by (-6)\/(-1 + -1)*(-85)\/(-51)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -153422, -153374, -153318, -153254?\nAnswer: -153182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l - 35516*x + 120 = -35511*x, 3*x = 2*l + 87 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 5*h**2 - 34*h - 121. Let q be x(9). Let a be 151\/4 + (-7)\/(-28). Suppose -7*t + 3*t - a = 2*c, -3*t + 6 = 0. Is c < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.065, 6, 75140.7?\nAnswer: 75140.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 176, 350, 524, 698?\n\"Answer: 174*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -275a77 (base 15) in base 10?\nAnswer: -1892362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (9\/(-15) - -1)*-60. Let k = -22 - s. Let i(j) = 5*j**3 + j**2 + 6*j - 7. Calculate the remainder when i(1) is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4184187977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 4*s - 140. Let r(j) = 3*j - 93. Let w(k) = 5*i(k) - 8*r(k). Let u be w(11). Suppose 0 = -4*a - a - u*a. Which is smaller: a or 3\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(2\/7)*x)**(-14\/11)*x**(-3)\/(x\/((x\/(x**(-6)*x))\/x)) assuming x is positive.\nAnswer: x**(-21\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 347 = 3*z + m, 0 = 2*z + 2*m - 230. Let l = 119 - z. Determine k, given that 8\/3*k**l + 2*k**4 + 8\/15*k + 0 + 62\/15*k**3 = 0.\nAnswer: -1, -2\/3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or 58\/19?\nAnswer: 58\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 - 3 + (0 + 1 - 2)*(0 + 0 - 1))*(24*n + 377 - 27*n - 455) + 2*n - 6*n + 2*n to the form g + k*n and give g.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8 + 11. Let b be ((-4)\/8)\/((-1)\/106). Let a(r) = -94*r + 43*r + b*r. Calculate a(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 586 minutes after 7:16 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (136\/51)\/(2\/(-9)) - 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 62 divide 2666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 divided by 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 166, 39, 2\/9, -0.1, 4, 2\/11?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8.2 - -0.2. Let w = -110 + 102.2. Let s = i - w. Which is the closest to -0.2?  (a) -2\/7  (b) s  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 142 divide (-1501045)\/(-325) - 2*6\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1340 divided by -20\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(1666) + 1*sqrt(1666))\/(-2*sqrt(98)).\nAnswer: -sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.68 - -0.28. What is the closest to 1\/2 in -14, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -35, -5, 14 in ascending order.\nAnswer: -35, -5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0  (b) -551409  (c) 0.2  (d) -0.73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**3 + b**2 + b + 1. Let o(f) = 4*f**3 - 5*f**2 - 7*f - 8. Let s(n) = -3*n**2 + 3*n + 1. Let r be s(2). Give r*c(u) - o(u).\nAnswer: u**3 + 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -2.1, 12, 0.2, -4\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -w**2 - 3*w**2 - 14*w**2 + 6*w**2 + 8*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10415)\/12498 - 37\/6 - 264\/(-38).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 179928 and 48654?\nAnswer: 9536184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(1\/2)*n**(-3))**5\/((n*n**(-4)*n*n)\/(n*(n**(1\/3)*n)\/n*n*n))**(24\/11) assuming n is positive.\nAnswer: n**(-67\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.9874 in -1\/3, 0.1, -12.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 536 divided by -134.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xntxntxuzx. Give prob of sequence nz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 25*(18\/(-15) - -4). Suppose 21*y = u - 7. Which is the biggest value?  (a) y  (b) -0.1  (c) 46  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 17096917*h. Let c(d) = 6*d**2. What is r(c(q))?\nAnswer: 102581502*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1284*g - 1632*g - 175*g - 3259*g.\nAnswer: -3782*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -34 + 12 - (3 + -11 - -16). Which is bigger: s or -674\/23?\nAnswer: -674\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 74177\/64 - 1159. Which is the third biggest value?  (a) 5  (b) -1\/14  (c) -2  (d) -4  (e) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8320 - -8334.292. What is l rounded to zero decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 912 - 912. What is the closest to -6 in 0.5, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 32 and 154660416?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -73.448701 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 465 = -5*f, 11*f - 14*f + m = 275. Let p be -1 - 9*844\/84. Which is bigger: f or p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/((t\/(t*t**(2\/5)*t*t))\/t)*t\/(t\/((t**(3\/17)*t)\/t)) assuming t is positive.\nAnswer: t**(389\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-858)\/390*(-2)\/2*-2*315\/126?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -441*s**3 - 94 - 3*s**2 - 67*s**3 - 5*s**2 + 118 - 3*s**2 wrt s?\nAnswer: -3048","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:45 PM and 11:04 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 2\/15019, -2, 3, -5, 3\/4 in decreasing order.\nAnswer: 3, 3\/4, 2\/15019, -0.4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*h - 239555 = -25*h + 367891. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1834466 is divided by 79759.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1369 and 906313594.\nAnswer: 1369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 8 + (1 - -3 - 7). Suppose 3*d + 5 = -j, 12 = -2*d + o*d. Let z = j - -19. Solve 3*q + 11 = t, -4*t = -z*t - 2*q - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u**7*u))\/(u**(-1\/3)*u*u*u))**8*u**6\/(u**2\/u*u*u)*((u**5*u)\/u*u)\/(u\/u**(-1\/2)) assuming u is positive.\nAnswer: u**(-419\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 39*v**4 + 53*v + 11. Let h(a) = 6 + 20*a**4 - 91*a**3 + 22*a + 5*a + 91*a**3. Let n(l) = -11*h(l) + 6*p(l). Find the second derivative of n(d) wrt d.\nAnswer: 168*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 345321131?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -117, -82, -13, 102, 275, 518, 843?\n\"Answer: 2*j**3 + 5*j**2 + 6*j - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 278 + (-26)\/8 + (-2)\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -36314.6677 to the nearest one hundred.\nAnswer: -36300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*i + 10 = 5*u + 12*i, 4*u + 4*i - 8 = 0. Find d such that 23*d + 8*d + d**3 - 12*d - 14*d**2 - 36 + 21*d + d**u = 0.\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.5  (b) 1.6  (c) 11  (d) 0.2  (e) -1583  (f) -1  (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17\/22 - -3\/11. Let g be (-22)\/32 - 5\/(20\/(-3)). Let v = g - -17\/240. What is the second biggest value in m, v, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 + -505?\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 - 12*g**2 + 14*g - 8. Let t be a(-13). Is (14\/t)\/((-4)\/1422) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 76 and -31.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1387*o**6 - 166*o**5 - 379622*o**2 wrt o.\nAnswer: -166440*o**3 - 9960*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74*u = -39*u + 14*u. Which is the nearest to -0.6?  (a) -0.3  (b) u  (c) 2\/7  (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -2*s**2 + 2*s - 5. Suppose 7*q - 41 = 3*q - 5*l, -q - 16 = -4*l. Let t(m) = -m**2 + 2*m - 4. Calculate q*c(u) - 5*t(u).\nAnswer: -3*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15)\/sqrt(3) + 3 - (sqrt(5) + -2*sqrt(720)))**2.\nAnswer: 144*sqrt(5) + 2889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 115 = -3*w, -3*w + 127 = -0*w - 4*k. Let d = w + -33. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 10*s**2 - 3. Let z(t) = 3*t - 1. Let o be z(3). Suppose 7*h = -2*v + 4*h - 21, 4*v - 4*h = o. Is n(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*b**2 - 7*b**2 - 4*b**2 + (b**2 - 2*b + 2*b)*(-6 - 12 - 10) + (-1 + 0 + 3)*(3*b - b**2 - 3*b).\nAnswer: -43*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1568 divided by 32.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (330\/(-8))\/5*(-344)\/258?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -16035, -64582, -145635, -259194, -405259?\n\"Answer: -16253*j**2 + 212*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0184107919 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -13 - -18. Suppose -14 = 3*o - c*o. Suppose 3*r + 62 = 5*s, -r + 39 = 5*s - o. Solve 2*u = -2*l - s, l + 21 = -u - 4*l for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 911 is divided by 442.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u + 1 + 3, -m = -2*u + 1. Let f = 0.2 + 0. Let o = -1.9 - -0.9. Which is the third smallest value?  (a) m  (b) o  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + (18 + -15 - 8) - (-10 + -9).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1842 and 3377?\nAnswer: 20262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 152774 is divided by 2350?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, -7, 1, -0.5.\nAnswer: -15, -7, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -100912 by -742.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 90922276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 105*k**5 + 3*k - 3?\nAnswer: 2100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and -0.0149?\nAnswer: 0.0447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 3*r + r - 3*r. Let c be w(1). Let l be (-5)\/2 + c\/(-2). Put -0.2, -2\/3, l in decreasing order.\nAnswer: -0.2, -2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**3 - 25*g**2 - 15*g + 10. Determine a(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*a + 0*a - 4*a)*(551 + 361 + 165 - 139 - 33) in the form w + r*a and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 + -2. Let m be 6\/c*(-28)\/(-63). What is the biggest value in m, -2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/((-15)\/10)*30\/(-4). Let j be (-15)\/6*2\/(-5). Let w be (2 - (3 + j)) + 22. Calculate the highest common factor of w and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 63 and 1596?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 n, and 2 b when four letters picked without replacement from {u: 2, b: 1, p: 3, n: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 1\/47, 4 in ascending order.\nAnswer: -4, 1\/47, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 5\/6, 0, -3\/2, 4\/3, 268, 0.5 in decreasing order.\nAnswer: 268, 4\/3, 5\/6, 0.5, 0, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1575\/11 + -143. Put g, 14, -1\/7 in increasing order.\nAnswer: -1\/7, g, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 44 + (24 + -28 - 0) + (-3 - -17) + 2\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1*5\/20 - 909\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 6 + 4 = 0, 4*h - 48 = 4*p. Solve w = -w + h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*u + 7*u - 16*u + 1438 - 1328 to the form g*u + o and give o.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 166 a factor of 34734603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*d - 4*d. Let x = -40 - -42. Put x, -2, d in descending order.\nAnswer: x, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 124521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/(-3)*(-4 + 5). Suppose -87 = 5*c - m, -4*c + 2*c = -m + 33. Let j be v*((-45)\/c - (0 + 2)). Sort 3\/8, -0.1, j in descending order.\nAnswer: j, 3\/8, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.312676 to 3 dps.\nAnswer: 0.313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*q**2 + 6*q**4 - q**4 + 3*q**3 + 2 - 6*q**3 + 0*q**2 - 4*q**4 to n*q**3 + v*q + g + t*q**2 + h*q**4 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 589109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -7*h**3 + 2*h**2 - h + 10. Let d be y(3). Let q = -64 - d. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-26)\/65)\/(-68*4\/(-19210)).\nAnswer: -113\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 178 a factor of 1016761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2 + 234\/22 + -15 and -1\/307.\nAnswer: 3377","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 160320401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*f + 1579 - 299 = 0. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1036a (base 11) in base 12?\nAnswer: 8888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from wnnwggwnnnwgnggggn.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1663*i - 3350*i + 1698*i.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 18 = -2*o, -i + 3*i + 45 = 5*o. Suppose 3*t = -2*b - b + 9, t = -4*b + o. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/6*(-2 + 5). Let w = 6 - o. Suppose -56 = -8*p + w*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8480151961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 682, -3139, -11478, -24341, -41734?\n\"Answer: -i**3 - 2253*i**2 + 2945*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (28389*z**5 - 3387*z**5 + 19433*z + 19437*z - 38870*z)*(-3 + 3 + 1).\nAnswer: 25002*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 3, t: 4, b: 5, w: 4, u: 1, y: 1}. What is prob of picking 2 b and 1 y?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5365 is divided by 893?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 3*c - 39, 14 = c + 2*i + 1. Suppose 1 = -6*q + c. Let a(n) = -3*n**2 + 4 + 8*n**q - 4*n**2 + 6*n + n. Determine a(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 15585\/120 - (-1)\/8. Let j = -15 - -32. Let t = 9 + j. Calculate the greatest common divisor of t and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -42 - -34. Sort a, 1, -5 in increasing order.\nAnswer: a, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + (-6 - (13 - 15)) - 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-12 + (22 - 7))\/(((-34)\/(-14))\/(42\/441)). Factor n*i**2 + 18\/17 - 12\/17*i.\nAnswer: 2*(i - 3)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 99 + 17. Let f = i + -107. Suppose -f*y + 10*y = 4. Solve 10 = 2*g - y*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -4*k - 5*a, 2*k - 6*a + 5*a - 3 = 0. Let y = 2 - 1. Let c be 1\/((-2)\/(-6)) + y. Solve -c + 16 = -k*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 109148 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 468 = -6*y. Calculate the remainder when y is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 56\/19 and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 1989122?\nAnswer: -5\/1989122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -35?  (a) 0.2  (b) -1\/10  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 2 n when three letters picked without replacement from nnnncncnnnncnnnnncn.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 1 - 3)*(-x**2 + x - x**2 + 0*x) + (8*x + 16*x + 0*x)*(-6 + 3 + 1 - 2*x) to j*x + z + o*x**2 and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17 - -12. Let q be (t\/(-2))\/((-11)\/(-22)). Suppose q*h = -4*a - 13, -2*h + 6*h + 23 = a. Solve 2*m = a*m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 3*b - 14. Let l be d(6). Suppose -l*k + 86 + 34 = 0. Calculate the highest common divisor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 x when two letters picked without replacement from {j: 1, x: 1, v: 1, t: 1, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 12*j - 108. Give x(-4).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 120*p = -221*p - 9548 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-3*sqrt(400))\/sqrt(5).\nAnswer: -12*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1007056842?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -112687.9078 to the nearest 10.\nAnswer: -112690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/10)\/((698\/1047)\/((-10)\/(-9))).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-5)*y*y)\/(y*y**(-15)\/y))\/(y**(-17)\/y*y**(-11\/6)) assuming y is positive.\nAnswer: y**(191\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 87458 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -13824235  (b) -1\/4  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 39041577, 39041583, 39041599, 39041631, 39041685?\nAnswer: 39041767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-7)\/(455\/(-1160)) - (-4)\/26. Let r(t) = i + 2*t + 23 - 40. What is r(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1021 + 1017. Sort 4, t, 1 in descending order.\nAnswer: 4, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12834276 divided by 186004.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(-18) + 214\/(-9). Calculate the common denominator of ((-114)\/i)\/(11\/(-6)) and 97\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 times -251?\nAnswer: 6024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the third derivative of h**5\/15 - 7*h**2. Let g(k) = -4*k**2. Give g(v(b)).\nAnswer: -64*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13151936 to the nearest integer?\nAnswer: 3627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the third derivative of x**5\/60 - x**4\/2 + 2*x**3\/3 - 9*x**2. Let v be w(11). Put v, 3, 0 in decreasing order.\nAnswer: 3, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the second derivative of 37*j**3\/6 - 31*j**2\/2 + 4*j - 7. What is the tens digit of r(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes before 2:00 PM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*b**4 - 314522*b**2 + 11923*b - 690?\nAnswer: 24*b**2 - 629044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (20\/6)\/(4\/(-6)). Let d be (12\/9)\/(h\/(-15)). Calculate the remainder when (21\/2)\/(d\/16) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 212 is divided by 970\/12 - 132\/(-792) - -5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1647*t**3 - 1600*t.\nAnswer: -9882*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 7*f**2 + f - 1. Let i be o(-2). Suppose 0 = 2*w + 2*d - i + 11, 3*d = -w + 3. Suppose -w*h = -5*h - 12. Do 4 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:29 PM and 10:12 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.1, -16, -1, 0 in decreasing order.\nAnswer: 0, -1, -1.1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1327*y**3 - 121452*y**2 - y + 13043560 wrt y?\nAnswer: -7962*y - 242904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6\/2*8\/12. Is 11 a factor of q + (-41)\/(-1) - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 3*s - 21 = 0, -s = 4*a - a - 11. Suppose g + c - 27 = -2*g, 8 = a*g + 4*c. Let n be 16\/20 - (-2)\/g. Sort 2\/9, n, 1\/2 in ascending order.\nAnswer: 2\/9, 1\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**3 - 4*t**2 + 4*t. Let y be j(3). Let x = 9 - 8.9. Suppose -5*f - 2*r = 25, -5*f + 0*f - 10 = -r. Which is the closest to x?  (a) y  (b) f  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 147775427?\nAnswer: 1013, 145879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -7898*x**2 + 2635*x**2 - 4 + 2623*x**2 + 2625*x**2 + 2*x - 3*x as r*x**2 + k*x + m and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10 - 16 + 7 + 12*v**2 to s + y*v + g*v**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.8 * 3505\nAnswer: 2804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the second derivative of 0 + 22*s + 0*s**2 + 0*s**3 - 1\/48*s**4. Factor t(k).\nAnswer: -k**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -4*y + 10. Let q(w) = -15*w + 35. Let i(a) = 2*q(a) - 7*t(a). Let v(o) = 5*o + 3. Let j(u) = u - 1. Let d(h) = -15*j(h) - 5*v(h). Give i(d(m)).\nAnswer: 80*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Do -3\/2 and 58414 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -958 divided by 2\nAnswer: -479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 391 is divided by 5\/40 + 7\/((-448)\/(-2552))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + l - 3*l - 3 = 0, 3*n + l = 9. Suppose 0 = -4*x - n - 5. Let b be 0 - 1\/2*x. Is b less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 = -p + 4*p. Suppose 4*n - p = 3*o, 15 = 8*n - 3*n + 5*o. Let f(k) = -k**2 + 11*k - 13. Let w be f(9). Put n, w, -4 in descending order.\nAnswer: w, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (8\/4)\/(6\/213)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 24404, 24403, 24402?\nAnswer: 24401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.9 + 0.1. Let u = -379.38 - -376. Let b = 3.42 + u. Is b less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56227525.\nAnswer: 5, 23, 97787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 3*h**2 - h + 26. Let c be n(-6). Let t = -18 - -186. Suppose -a = 2*a - t. What is the highest common factor of c and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes after 9:02 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, u: 2, b: 2, h: 1, y: 2}. What is prob of picking 1 h, 1 i, and 1 y?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x = 15, -2*k + 106*x - 30 = -7*k + 108*x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let i = 135 + -153. Let g(t) = -t - 10. Let p be g(-7). Let h be -3 + p + 6 + -19. Is i < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7849 is divided by 165.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -3 - (3 - (-1 + 5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5\/6 - -4\/3. Let o = -0.06592 - -0.06592. Sort r, 5, o.\nAnswer: o, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 + (-9 + 12 - (2 - (-19 + 4)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 + 16*t**2 + 16*t - 6. Let w be p(-15). Which is the nearest to -0.1?  (a) w  (b) 3  (c) -0.4  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7031\/9 + 24\/(-108) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -322682+64.3\nAnswer: -322617.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**3 - 8*r**2 - 2*r - 1. Let u be c(-11). Is -4 + (3 - u\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*m - 7*m - 5. Let g = -62 + 62. Suppose 5*w - 442 = -3*v, m*w + 566 = 4*v - g*v. Does 39 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -147, -5, 72, 0 in increasing order.\nAnswer: -147, -5, 0, 8, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, k: 1, i: 5, a: 2, z: 4, q: 1}. What is prob of sequence ii?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (15\/40 - 3\/(-36)) + 2\/12\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4416.71168 to the nearest one hundred.\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 1617*u**2 - 5*u - 4. Let f be s(2). Let a = f + -15664. What is a rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -2151, 78, 2.\nAnswer: -2151, 2, 3, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 0 - 7)*(-5*i**3 + 13*i**3 - 6*i**3) as b*i**3 + c*i + d + r*i**2 and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.037526 > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 + -5. Let q = 23.885 + -26.885. What is the fourth smallest value in -2\/5, f, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*i**3 - 2235676390*i**2 + 2235676390*i**2.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**2 - 10*x + 7. Let p be b(-9). Suppose 4*z + 0*z - p = 0. Calculate the greatest common factor of z and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 1, 0.3, 0.01, 22, -6\/11, -1\/2, 102?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes before 9:47 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -1639.5512 to 0 decimal places.\nAnswer: -1640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let -12*d**5 + 448*d**4 + 19456*d**3 + 135192*d**2 + 185356*d + 69160 = 0. What is d?\nAnswer: -19, -7, -1, -2\/3, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mcccmsiimifimmmmcccm. What is prob of picking 1 s and 1 c?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3941 - -5610. Let k = 5068\/3 - s. Find the common denominator of k and -2 - ((-29)\/(-3) - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 1178*h**2 - 129*h - 493. List the prime factors of t(-4).\nAnswer: 113, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2*(-3 + -6) + -2. What is the least common multiple of 1\/(2 - (-38)\/y) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -686072930146 and -0.6?\nAnswer: 686072930145.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {v: 4, t: 10, z: 6}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x - 0*x + s + 8, 0 = 4*x + 4*s - 16. Suppose 141 = -7*c - 4*l + 527, 3*c + 5*l - 149 = 0. What is the least common multiple of c and x?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 13*y**2 - 10*y + 18. Let m be j(2). Let w = -21 + m. Calculate the greatest common factor of 203 and w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4857768*d**2*x - 11*d*x - 109622*d + 1 wrt d?\nAnswer: -9715536*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(68) + sqrt(68))\/sqrt(2)*-3)\/(sqrt(6)\/(3*sqrt(147) - sqrt(3))).\nAnswer: 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 4*u = -4. Suppose q = 1 - 2. Let g be q\/(-4) + 28\/16. Sort -4, u, g in decreasing order.\nAnswer: g, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -421 + 385. Let l be ((-15)\/y)\/(40\/24). Factor 0*v + l*v**2 - 1.\nAnswer: (v - 2)*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, b: 3, e: 4, a: 3}. Give prob of picking 1 h, 1 a, and 1 e.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12.03 + 12.030707. Round p to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18757 greater than 281342\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -77*w**5 + 2*w**4 - 46*w**2 + 3*w wrt w?\nAnswer: -4620*w**2 + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 16017678 - 3817678. Round c to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*k - 29 - 26. Let c = 20 - k. Let g = 20 - c. Solve 2*p + 1 = g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 22 - 13 + 0*l - 21 + 4*l. Let o be h(10). Suppose -5*u = -5*k - 100, -3*u + 35 = -4*k - o. Solve 5*j + s - u = 5, 32 = 4*j - 4*s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/v**(3\/2)*v*v**(-2\/9)\/v)**(-2\/83))**(-3\/8))**(-21) assuming v is positive.\nAnswer: v**(91\/664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 + 16?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12112220 + -11?\nAnswer: -12120001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 12359 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1 + -6*2\/(-4). Let n = c + 2. Calculate the remainder when n is divided by (-10)\/(-2) + (-9)\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g + 3 = -4*g. Let o(l) = 1 - g - 3*l + 7*l. Let n(c) = 9*c. Determine -2*n(b) + 5*o(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 130407?  (a) 30  (b) 0.1  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 40*m + 287. Let f be p(-7). Solve -3*b + 15 = 3*k, -f - 15 = -4*k - 5*b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the first derivative of -o**3 - 23. Let w(f) = -7*f**2. What is v(w(h))?\nAnswer: -147*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 7 - 5*k)*(2*k - 6*k + 2*k).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 x, and 1 m when three letters picked without replacement from {m: 2, s: 2, r: 1, x: 1, z: 6}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 2*y - 6 = 0, -2*l - 3*y + 14 + 9 = 0. Solve 8*m = -12 + l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 71 divide 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, w: 6}. What is prob of sequence wwb?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*i - 7 + 11 - 7 - 3*i - 4*i**3 to the form v*i**2 + z*i**3 + y + k*i and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.0291 and -0.5.\nAnswer: 0.01455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**2 + 2*w + 1. Let u be b(3). Suppose -4 = t - h, -t = 4*h - h - u. Solve 2*r = -p - t, 3 = -3*r + 2*p - 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 2*i = -3*p + 9, 3*p + i = 3. Suppose -a + 20 = -p*g - 6, -3*a + 63 = -g. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (2700\/(-135))\/(2*((-9)\/3)\/3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -8, -4, 0.082, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + 5*f + 8 + 13, -2*u + 9 = -f. Solve u*g = 8*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.474 less than -63484798?\nAnswer: -63484799.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = 4*m + 2*x + 12, m + 3*x + 13 = 0. Suppose 3*b + 5*y - 18 = 0, -5*b + 30 = -3*y + 5*y. What is the lowest common multiple of b and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16576889 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -2*(-14)\/((-336)\/(-8388)) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -3 - r - r**2 + 19*r - 7*r. Suppose 0 = -3*i + 7 + 8. Suppose -23 = i*h - 73. Give o(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 107220381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**3 + b**2 - b + 5. Let s be i(0). Suppose -s = -z - 0*z. Suppose -116 - 40 = -39*r. Are r and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n = -4*y - 9 - 7, -5*n - 12 = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j**5\/3 - 8*j**4\/3 + 20*j**3\/3 + 8*j**2 = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 222 + -80. Let y = -139 + v. Let s be (-9)\/6*(-16)\/6. Solve 0 = 2*a - y*a - 1, s*r - 1 = 5*a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:41 AM and 9:41 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pynqnnncppqbq. What is prob of picking 1 y and 2 n?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 792312, 792309, 792306, 792303, 792300, 792297?\n\"Answer: -3*c + 792315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, -5647, -4, 2, -2, 1 in increasing order.\nAnswer: -5647, -17, -4, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 6345851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**3 - 6*t**2 + 7. Suppose 1796 - 5648 = -12*y. Let d = -315 + y. Give n(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 1 i, and 1 q when three letters picked without replacement from {x: 1, o: 2, g: 4, j: 4, i: 3, q: 1}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 11796779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-2\/3))**48*((d*d**(-1)*d)\/d*d)\/d**4 assuming d is positive.\nAnswer: d**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * 146.\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + (9 - 11)\/((-10)\/(-19)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 2 + 4 - h + 0*h. Let z(n) be the first derivative of -28*n**3\/3 - 167*n**2\/2 + 11*n - 491. Let m be z(-6). Calculate i(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -737 - -759. Let y(h) = h**2 + 4*h + 1. Let c be y(3). Are c and o equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + z**2 + 7*z**2 + 361*z + 6*z**3 - 360*z as o*z**2 + h*z**3 + i + a*z and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*h + h + 2*h - 1)*(65 - 3*h + h - 68 + h**2).\nAnswer: -h**3 + h**2 + 5*h + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -18*q**2 - 31*q + 4. Let u(h) = -7*h**2 - 9*h + 1. Determine -8*u(n) + 3*x(n).\nAnswer: 2*n**2 - 21*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u + 6*u - 1584. Let o = 290 - u. Let j = o + -103. Calculate the remainder when 29 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 450\/7 + 8\/7*m**4 - 1860\/7*m - 248\/7*m**3 + 2042\/7*m**2 = 0. Calculate m.\nAnswer: 1\/2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j**2 - j**2 - 3*j**2 - 22*j**2 + 2*j**2 + 0*j**2 + (0*j + 3*j - 5*j)*(-2*j + 3*j + j) - 2*j**2 - 6*j**2 - 2*j**2)*(-3*j + 2*j**2 + 3*j).\nAnswer: -74*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6071 = 2*t - 6051 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -4*k + 5. Let c(h) = 3. Let n(b) = -13*b + 7. Let z(a) = -3*c(a) - n(a). Let w be 6 + -1 + (-6)\/(-3). Let s(o) = w*q(o) + 2*z(o). Give s(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 5*x = -12. Suppose -4*k = -x*j + 32, -4*k + j = 5*j. Let v(l) = -l**2 - 5*l + 5. Let y be v(k). Solve 5*t + 1 = -y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p = -3*j - 88 + 102, 3*j = 5*p + 35 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + 2*r - 26 = -2*w, w - 15 = r. Let m = w + -12. What is the second derivative of 9*p + 28*p**2 + 45*p**2 - 94*p**m wrt p?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9950 = -517*p + 512*p. Suppose 3*d = -5*s + p, -4*s - 2216 = -4*d + 480. List the prime factors of d.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, 1\/55, 0.1, 479?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 5*z + 3*z - 10*z. Let n(f) = 37*f**2. Give n(q(c)).\nAnswer: 148*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*u + 21*u + 26 - 44*u - 1.\nAnswer: -2*u + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1000001011 (base 2) in base 6?\nAnswer: -2231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -23*t**2 + 10*t**2 - 78*t**2 + (1 - 1 - t)*(-t - t + t) + 2*t**2 - 3*t**2 + 2*t - 16*t.\nAnswer: -91*t**2 - 14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s - 2*s + 5*s)*(-s**3 - 3*s**3 + 6*s**3) + 2*s**4 - 3 + 3 - 2*s**4 + 2*s**3 + 0*s**4 + 0*s**4.\nAnswer: 2*s**4 + 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 5*y = 11 + 30, -2*f - 3*y = -27. Suppose 5*m = -4*x + 168, 0 = -x - 2*m - m + 42. What is the remainder when x is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 17 = -2*g. Suppose 0 = 4*b - 0*b + 3*s + 66, -3*b + 4*s = 37. Let r be 4\/(40\/b)*(-4)\/6. Solve -r = d - g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1268983 to the nearest integer?\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and -510414.\nAnswer: 102082.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -5, -380 in decreasing order.\nAnswer: 1, -5, -380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 2)*(-299*u + 421*u - 203*u) + 45*u - 169*u + 57*u.\nAnswer: 95*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 8*d**2. Let l(t) = 7*t - 7. Let h(i) = i**2 + 6*i - 6. Let b(v) = 7*h(v) - 6*l(v). Calculate 4*b(p) - 3*n(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6882\/143 or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1840260239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 2*m + 2*o = 0, -3*m = -5*o + 8. Let i = 13 + m. Suppose -9 = -3*j + 3*g, -4*j + j - 4*g - i = 0. What is the closest to 1\/4 in j, 1, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 - 3)*(-2*h**2 - h + 0 + 6 - 1).\nAnswer: 4*h**2 + 2*h - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 11 = f - 3*k, -4*f - k + 38 = 0. Let o = 13 - f. Suppose 3*g = 2*s + 4, 4*g = -s + 6 + 3. Solve b - 6 = o*b + 3*a, 4*a + 26 = g*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -10*h**2 - 2*h. Let q(w) = -3*w. What is c(q(f))?\nAnswer: -90*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b + 11. Let q(v) = -1024*v + 31. Calculate q(u) - 3*t(u).\nAnswer: -1027*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/((-4)\/3))\/((-42)\/140).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*o - 59*o - 510 = -46*o for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.25 - -193830.\nAnswer: 193830.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -33659, -33947, -34425, -35093, -35951, -36999, -38237?\n\"Answer: -95*i**2 - 3*i - 33561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23578*-263.\nAnswer: -6201014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52*c - 1 + 1 + 83*c.\nAnswer: 31*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -257*v - 1009. Determine p(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 3*i - 5*v + 8, -i - 16 = -4*v. Find the second derivative of 0*w - 45*w**i + 14*w**3 + 22 - 3*w + 4*w + 44*w**4 wrt w.\nAnswer: -12*w**2 + 84*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 25803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/(-22) - 20\/(-11). Let n(s) = -12*s**2 + 13*s**i + 3*s + 2 + 2. Calculate n(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -2*y - 5*y**2 + 10 - 61 + 14 + 29 + 10. Give u(-3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -3*w + 14. What is the tens digit of q(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 + 1 - 116*s**2 - 3 in the form x + i*s**2 + z*s and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6408*h + 3295 + 12811*h - 6399*h)*(2 + 0 - 3).\nAnswer: -4*h - 3295","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 23693\/717 - 11338079\/335556. Let b be -1 + -1 + (-704)\/(-351). Let m = w - b. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24977863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-280)\/7 + 0 + 2. Let x = n + 44. Suppose -d + x*m = 5*m - 53, -3*d + 161 = -m. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -7 - 2\/4*-2. Let y be 3\/m*-1*6. Solve 20 = -2*g - y*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-532)\/399)\/(-34*6\/(-9)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3.04 - -0.04. What is the nearest to -1 in -2\/9, -5, r?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1315 + 1315. Let a = 3 - 4. What is the closest to a in 4, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 at least 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -841b1 - 4?\nAnswer: -841b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-28)\/35*(-10)\/(-2). Let v(y) = -y**3 - 2*y**2 + 4. Does 10 divide v(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + l = 3*i - 114, 110 = 4*i - 3*l. Calculate the highest common factor of 261 and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (2*(sqrt(110) - sqrt(110)*1))\/(sqrt(120)\/(sqrt(48)\/sqrt(4))))*4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 8:18 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -131, -302, -571, -932, -1379, -1906, -2507?\n\"Answer: u**3 - 55*u**2 - 13*u - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, v: 3, u: 1, g: 2}. Give prob of sequence vu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 108 - ((22 - 7) + -13 + 7 + 7).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**(2\/31))\/((k*k*k**(-5)*k)\/k))\/(k**(-2\/5)\/(k*k**(1\/3)*k)) assuming k is positive.\nAnswer: k**(3101\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**2\/4 + 267*q\/4 - 819\/2.\nAnswer: (q - 6)*(q + 273)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 27 + -12. Suppose -5*g - 30 = 2*h, -2*h - g - t = -h. Let i = -11 - h. Solve -15 = x + i*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 187510 and 10390.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, 35, 2, 4, 5 in increasing order.\nAnswer: -2, 1, 2, 4, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 2, z: 6}. Give prob of sequence zzzz.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 - -5. Which is bigger: n or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 258684 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 11\/(88\/(-32)) - (73 - 46)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 156446189 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 62743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*j + 233 = -42. Suppose l + 9 = 2*d + 2*l, 0 = -3*l + 9. Suppose -j*r + 370 = -d*k, -2*r = -0*r - k - 147. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -3*c**2 + 5*c - 2. Let b be k(4). Let o be (-70)\/b - 2\/6. Suppose x + o*x = 30. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + d + 22 = 2*d, 3*p + 2*d = -28. Let o = 86 - p. Suppose 5*a = 6 + o. Solve 4*g + g = -a for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1022 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 628*l**2 - 47340*l + 18000.\nAnswer: 4*(l - 75)*(157*l - 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 948 - 660. Suppose 4*g = -0*g + y. Is g a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 444720098?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = 2*s + 90, 3*z - 200 = -2*s + 6*s. Let d = s - -52. Solve -v - d = y, -2*y - 2*y - 11 = -5*v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 437 and 361.\nAnswer: 8303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 72 + 43 - 3*z - 14 + 13.\nAnswer: -3*z + 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:49 AM and 6:43 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**3\/9 + 556*o**2\/9 - 736*o\/3.\nAnswer: -o*(o - 552)*(o - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 2*p**3 + 14*p**2 + 34*p + 135. What is b(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(19) - sqrt(19)*1*6)**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q. Suppose -8 = 8*t - 12*t. Let u(p) be the first derivative of -1\/2*p**t - 1 + 0*p. Calculate u(n(j)).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -s + 13, 2*j - 16 = 3*s - 5*s. Suppose 0 = 2*m + s*m - 75. Suppose q = 2*q - m. Solve 3*v = q, -l - 2*v = -2*l - 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes after 1:56 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -10*a**3 - 4*a**2 - 6*a - 4. Suppose 7*b - 3*b + 11 = 3*g, -3*b + g - 7 = 0. What are the prime factors of n(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -86*z**2 + 319 - 617 + 305 in the form j*z**2 + x*z + m and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*s**2 - 9*s + 3*s + 5*s - 3*s as n*s + c*s**2 + o and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b**2 - 19122*b - 4744652 = 0. What is b?\nAnswer: -242, 9803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 504*y + 103953. Give p(-206).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**4 + b**3 - 2*b**2 + b. Let i(o) = -5*o**4 - 3*o**3 + 10*o**2 - 3*o - 2. Let x(s) = i(s) + 3*n(s). Factor x(z).\nAnswer: -2*(z - 1)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -32 - -68. Let d(l) = 4*l**2 - 38*l + 51. Let j be d(9). Suppose -63 = -y*s + j*s. Calculate the highest common divisor of 168 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1523619.9 rounded to the nearest ten thousand?\nAnswer: -1520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 53513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 9 * -1.036028\nAnswer: -9.324252","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2263 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**(-29)*j)\/j)\/j*j**(-2\/177) assuming j is positive.\nAnswer: j**(5131\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 20*r**2 + 8*r**3 - 20*r**2 + (-2*r**2 + r**2 + 0*r**2)*(-2*r + 6*r - 2*r).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/6, 5, 172\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 70 + -75. Let z be (-92)\/92*2\/15. What is the second smallest value in -0.15, p, z?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4949*v - 4944*v - 25 = -5*u, -4*u = -2*v - u + 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 4*k**2 + 20*k - 5. Let p be w(-6). Let r = -97\/5 + p. Is 62 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.1 - -0.1. Let v = 6.32 - 2.49. Let p = -3.78 + v. Which is the smallest value?  (a) p  (b) -3\/2  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2188 divide 631616524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wbbcmbbmwbwbwcbmw. What is prob of sequence cwb?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-52)\/(-4)*(1 - 2). Let n(v) = -26*v + 87. Let w be n(p). What is the highest common factor of 25 and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(63)\/(sqrt(36)\/sqrt(4)) + (sqrt(77)*-1)\/sqrt(11))*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/7*92\/138?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -3*i**2 - 11*i + 77. Calculate h(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 116089733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 + 11 + (-1 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes after 10:56 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 36\/(-6)*1\/(-18). Put y, -1\/7, 2\/7, -0.1, 0 in descending order.\nAnswer: y, 2\/7, 0, -0.1, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 17 - 5. Suppose 5*b + 32 = x. Put 3\/5, 2\/7, b in increasing order.\nAnswer: b, 2\/7, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 16*r**2 - 5*r**3 - 22 - 11*r - 6*r**3 + 10*r**3. What is the tens digit of k(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5967511 and 27192.\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*k - 77*k = 3*j + 2, 2*j + k = -13. Let h(n) = n**2 - 15. Calculate h(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(2\/(-2))*(-14)\/154*-11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from {g: 9, h: 9, b: 1}?\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 30206252 times 5\nAnswer: 151031260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -28 - 4. Suppose -14*c + a*c - 54 = 0. Factor 0*b + 2\/15*b**4 + 0 - 8\/15*b**c + 8\/15*b**2.\nAnswer: 2*b**2*(b - 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 98234950 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/13, 1\/8, 12 in ascending order.\nAnswer: -1\/13, 1\/8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 + 6. Let b(n) = 27*n**3 - n + 1. Let a be b(w). Suppose -4*h - 2*l - l + a = 0, -3*h + 16 = -2*l. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**2. Let b(f) = 493*f + 6. Determine q(b(c)).\nAnswer: -243049*c**2 - 5916*c - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 7*l + 38. Let r be y(-5). Sort r, 0, -8 in increasing order.\nAnswer: -8, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 241714*h*p**2 - 282837*p**2 with respect to h.\nAnswer: 241714*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/24*-20 + 0. What is the third derivative of 5 - 83*k**p + 0 + 4*k**2 - 2*k**4 + 85*k**5 wrt k?\nAnswer: 120*k**2 - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -243802538 - 0.068\nAnswer: -243802538.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21022, -21047, -21072, -21097, -21122, -21147?\nAnswer: -21172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 + 7*g**2 - 2*g + 7. Let x be f(-7). Suppose 0 = 4*u - 3*u + x. What are the prime factors of (18\/u)\/((-1)\/7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 466, 925, 1382, 1837, 2290?\nAnswer: 2741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that -74739*o**3 - 5*o**2 = 0.\nAnswer: -5\/74739, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-g**2 - 6 + 6 + (4*g - 5*g + 3*g)*(38 - 38 + 31*g))*(9*g**2 + 20*g**2 - 12*g**2) as j*g**3 + o*g**2 + r + x*g**4 + p*g and give x.\nAnswer: 1037","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 5*n = -8, 4*d + 0*n = -3*n + 16. Let v = 87 - -29. Suppose 0 = -d*l - 0*l + v. List the prime factors of l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the third derivative of h**4\/12 - 11*h**3\/6 - 4*h**2. Let y be v(8). Solve y*a = 4*i + a, 5*i + 4*a = -18 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = f. Solve -3*g - 2*g - 5 = f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the first derivative of -d**6\/3 + 5*d**4\/2 - 4*d**2 - 3. Suppose n(t) = 0. Calculate t.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(-4) - (-5)\/(-2). Let s = -1786 + 1781. Sort 1, 2, l, s.\nAnswer: s, l, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4 - (6 - 2))\/(-1). Suppose s = 19*m - 149 - 60. What is the highest common factor of 33 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (4\/10)\/((-9)\/(-225)) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that 4*x**3\/5 + 13276*x**2 - 3529168*x\/5 + 3462784\/5 = 0.\nAnswer: -16648, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-206 - 1128 + 127)*(-3 - 2*h + 3 + h - h + h - 6*h + 2*h + 2*h + (2 - 3 + 3)*(-2*h + h - h)).\nAnswer: 8449*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/(-1) + 7 + -49. Let z = l - -58. Let d be 3290\/91 + (-2)\/z + 0. What is the greatest common factor of d and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 132*l**2 - 14*l - 6. Determine m(-2).\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5.7 - -15.9. Let g = r - 14.2. What is the second biggest value in -0.4, g, -10?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes after 10:36 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5278976 microseconds to milliseconds.\nAnswer: 0.0005278976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, 2\/9, -793\/1646 in descending order.\nAnswer: 2\/9, 0.2, -793\/1646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 8872, 8875, 8880, 8887, 8896, 8907, 8920?\n\"Answer: m**2 + 8871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.14 rounded to 1 dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -128*d**2*t + 7*d**2 wrt t?\nAnswer: -128*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 (base 16) in base 14?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -23\/272952 and 25\/1768.\nAnswer: 3548376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(6*(sqrt(88) - sqrt(88)*-4) + sqrt(88) + sqrt(88)))\/(sqrt(64)\/(sqrt(8) + (sqrt(280)\/sqrt(7))\/sqrt(5))).\nAnswer: 256*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -119*v - 110*v - 111*v - 117*v - 118*v + 579*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12, 2, 46, 138, 296?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 8*272\nAnswer: 2176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*s - s - 5*s)*(-s - s + 0*s) + 13 + 26*s**2 + 10 - 21 in the form k*s + j*s**2 + w and give j.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/(-30)*(-13)\/((-234)\/18)*(-114)\/(-10).\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*x - 28, 90 = 5*z + 4*x. Calculate the lowest common multiple of z and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 8*g = -91. Suppose -50 = -18*t + g*t. Solve 5*n = t*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/20*-2*2\/(-10)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (153\/34 - (6 + -1))\/(2\/(-12)). What is j in -5\/4*j**a + 1\/4*j**4 + 2*j**2 + 0 - j = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(7\/5)*z*z*z*z**(8\/3))**7)**36 assuming z is positive.\nAnswer: z**(8904\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*x**4 - 108*x**3 - 660*x**2 + 5228*x - 4464 = 0. What is x?\nAnswer: -9, 1, 4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 132961463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.2 - -1.1. Which is smaller: 4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 105*w**3 + 85*w**3 - 101*w**2 - 46*w**3 wrt w.\nAnswer: 864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -92.9005 and -0.3?\nAnswer: 92.6005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 139572 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5111132 (base 6) in base 13?\nAnswer: 86585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 1 - 998534*l**2 + 203851*l**2.\nAnswer: -794683*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + -5 - (4 + -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -4*v + 193, 0 = 4*v - 44*f + 48*f - 196. Calculate the smallest common multiple of 138 and v.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -123043 + -11?\nAnswer: -123104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 2 = 18. Let u = 2 - a. Calculate the smallest common multiple of 16 and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 2*w + 3. Let r be c(-3). Let u be (-12)\/18 + 1\/r. Let i be (0*(-1)\/3)\/u. Solve 0 = 2*h + 2*p + 12, 5*h - p = -18 - i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 2*w - 6*w + 3 = 0, 10 = 5*w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 3*p - z - 4, -z = -2*p + 9. Let o be 3\/p + 2\/(-7). Which is the nearest to 2\/3?  (a) -0.2  (b) 0.2  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zdu when three letters picked without replacement from ddcwdcdwuz?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from drxyyxdydhdyhhyyhhye. What is prob of picking 1 h, 2 x, and 1 y?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**2 - 6*j - 4. Suppose 4*k + 2*c = 4*c - 18, 0 = k - c + 5. Let p be h(k). Suppose -o + 10 = -p. What is the least common multiple of o and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1054.\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*u - 61 + 2*u + u.\nAnswer: u - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j - g - g - 8, 3*g + 10 = j. Suppose -y + d + 18 = 0, -3*y - 2*d = -j*y + 23. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11111000 + -110001000?\nAnswer: -10010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**3 + 4*v**2 - 18*v - 6. Calculate b(-7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 16\/(-10) + 12\/20. Is (-176)\/(-2) - ((1 - a) + -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 6, w: 3, f: 1, k: 2, g: 3}. Give prob of sequence tfk.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, j: 7, o: 2, f: 10}. Give prob of picking 1 e and 2 j.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the first derivative of -3759*i**4\/2 + 2*i**3\/3 - i**2\/2 - 830*i + 2213. Find the third derivative of j(y) wrt y.\nAnswer: -45108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(-8) + (-13)\/(-12). Suppose 12 = 4*c, -2*y - 4*c + c = 1. Let v = y - -9. Sort v, 3, f in ascending order.\nAnswer: f, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4006113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m + m. Let k(d) = d**3 + d**2 - d + 4. Let w be k(m). Solve 7 = -t + 3*b - 1, -w*b + 14 = -2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 5*l + 6. Let x be u(-6). Let g(d) = -d**2 + 52*d - 273. Let z be g(6). Let f be (-4)\/z*12\/8*13. Is x bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 9090, 10541, 11992?\n\"Answer: 1451*u + 7639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 + l + (-2*l + 3*l + l)*(-6 + 2 + 2) - l + 0 + 0 + l - l + 2*l + (l + 2*l - 2*l)*(-2 + 0 - 2).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 8735907?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 15 = -2*f, 7*i = 9*i + 2. Suppose 0 = 2*l - 5*l - 2*t + 5, 0 = -2*l - f*t - 15. Solve -2*g + j = -4, l*g = -3*j + 8*j for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-9)\/(-12))\/(-1))\/((-7)\/49*3).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 756 and 21154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11, 34, 77, 146, 247, 386, 569, 802?\nAnswer: 1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 2*u**2 - 2207*u. Let w(o) = -4*o**2. Give s(w(l)).\nAnswer: 32*l**4 + 8828*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*g**5 - 663*g**3 - 5*g**2 + 31*g?\nAnswer: -120*g**2 - 3978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p + 7*p. Suppose 3*d + d = p. Suppose -c - 2*c + 90 = 0. Solve -4*b = u - 11 + 2, 5*u - 5*b + c = d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 2*s - 21. Let u be h(12). Suppose -7 - 8 = -u*n. Calculate the highest common divisor of 5 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -5*u, 3*u = -4*o + 2*u + 1489. Suppose 0 = -3*a + n + 2*n, -a + 10 = n. Suppose 0 = 5*v - 2*m - o - 28, 0 = a*v + 3*m - 386. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (g**2 + g**2 - 7*g**2)*(6 + 2 + 19) to the form w + v*g + q*g**2 and give q.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/(-16) - (-2430)\/480. Solve m*l = -p + 25, -l - 1 = -p - 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 3*s + 34. Let u(q) = q**3 + 5*q**2 - 97*q - 501. Let z be u(-5). Calculate p(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5750 = 6*z + 2060. Let r = z + 309. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 18*b - 55*b + 38*b + 6 + (2 - 5 + 1)*(2*b + 1 - 1).\nAnswer: -3*b + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 24 - -4. Let i be ((-396)\/(-77))\/(1 - 22\/g). Let m be (i\/(-9))\/4 + 16\/24. Solve 0 = -m*q - q + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 2, -17, 2\/15 in decreasing order.\nAnswer: 2, 2\/15, 0.1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*p - 65*p + 33950 - 33947.\nAnswer: -91*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 + 712?\nAnswer: 70b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0.5, -5\/6, -2\/5.\nAnswer: -5\/6, -2\/5, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.2 + 1.1. What is the nearest to -0.4 in o, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 g when two letters picked without replacement from ygyygzyyg?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*c - 10*c + 0*c)*(-c**3 + 13*c**3 - c**3) - c**4 + 4*c**4 + 0*c**4.\nAnswer: -173*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 7.7  (b) 1\/18  (c) 4  (d) 3.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -871045326, -1742090651, -2613135976, -3484181301, -4355226626, -5226271951?\n\"Answer: -871045325*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 6, -4 in decreasing order.\nAnswer: 6, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -4*a + 20, 8*a = 4*a + 2*j + 8. Suppose 78 = v + a*v + i, -4*i = 5*v - 103. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.1 - 0. Let x = 29 - 10. Suppose -v = x - 19. What is the nearest to s in v, 4, 1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14, -47, -138, -317, -614, -1059, -1682, -2513?\nAnswer: -3582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 10*g + 2. Let a(f) = -3807*f. Give a(b(w)).\nAnswer: -38070*w - 7614","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r + 23 - 7. Let j = 10 - r. Suppose j*p + 3*k = k + 6, -p - 2*k = -5. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - 6. Let a(y) = -y**3 - 10*y**2 - y - 9. Let p be a(-10). Sort p, d, -3 in increasing order.\nAnswer: d, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 3*y + 4*u, -4*u + 27 = 5*y - 0*u. Let o = 7723\/948 - 84\/79. What is the common denominator of 1386\/81*y\/8 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*p - 5*p + 2*p)*((-1 + 3 + 0)*(0 - 1 + 3) + 1 + 3 - 5 + 2 - 3 + 0 + 0 - 1 - 3) in the form u*p + g and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*w + 10 = -3*w. What is the lowest common multiple of w and 3\/((-9)\/(-21))*2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 21843?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**3 - 6*b**2 - 891*b - 4182. Give d(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve s + 153 = -38*m, 4*s + 7 = -m - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sum 5.4717 and 1.15876762.\nAnswer: 6.63046762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.12 and 22.05101?\nAnswer: 22.17101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -79.308 times -1?\nAnswer: 79.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 + 2 - (4 + -4). Suppose 1 = -4*u + 13. Let l = u - q. Is 3\/2 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.25 + 0.45. Let o(w) = -w**2 + 3*w - 2. Let y be o(2). Put y, l, -2 in increasing order.\nAnswer: -2, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + m = -2. Suppose 0 = -2*x - 3*x + 3*l + 25, -4 = 3*x + m*l. Let c = 147.8 + -148. What is the biggest value in 3\/8, c, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -241.5 at least as big as 208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 7062 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 33\/70 and -37\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/(-27)*(-423)\/(-123). Let u = 2\/41 + o. Let z(g) = g - 5. Let t be z(6). What is the closest to u in -4, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4197*c**3 - 1641*c**3 - 1035*c**3 - 1630*c**3.\nAnswer: -109*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 48\/2503 and -18\/5?\nAnswer: 12515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -4*m**2 + 2*m - 1. Let r be v(1). Let q be (-2)\/(-8) - 122\/8. Let j = r - q. Calculate the least common multiple of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -345*i + 29. Suppose -53 - 25 = 13*v. Is h(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -11351 + -4?\nAnswer: -11355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 808962 and 2261.\nAnswer: 15370278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12.9 - 13. Which is the second biggest value?  (a) z  (b) -2  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -14619?  (a) -1  (b) -9  (c) -2  (d) -3  (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 9*k. Let g(a) = -8*a. Let f be 9*((-5)\/3 - -1). Let c(y) = f*b(y) - 7*g(y). Let q be c(1). Solve 2*l + u + 0 = 3, -2 = -q*u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-24)\/(-4))\/3*1. Let t(n) = -37842*n**3 - 1 + 6*n**m - 5 + 7*n - 14935*n**3. Let q be t(-6). What is q rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57996.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -5*c - 892, -2*c - 4*u = -c + 172. Round c to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 14 = -11*s. Let c(w) be the first derivative of 1\/2*w**4 - w + 0*w**s + 2 + 0*w**3. Give c(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:45 AM and 7:29 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.8 - 0.2. Let i = 8638 + -8635. Let u be 33\/44*(-2)\/(-3). Which is the nearest to x?  (a) u  (b) i  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*g = b - 11*g + g + 5, 4*g - 9 = -3*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4aa05 (base 13) in base 15?\nAnswer: 2acde","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 - 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the third derivative of m**6\/12 + 9*m**5\/4 + 5*m**4\/2 - 65*m**3\/6 + 2061*m**2. Factor p(q).\nAnswer: 5*(q + 1)*(q + 13)*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 4*h + 839 = 3*s, -20 = -5*h. Let k = s - 265. What are the prime factors of (2 - 0 - k) + 3?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*k + 9*k - 15. Suppose 2*p + 5 = 2*n + n, -k*p = 5*n - 25. What is the tens digit of n\/(-9) + 31\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19 - 4*b + 13*b - 7*b)*(-35*b**2 - 4*b**3 + 35*b**2) + 1 - 2*b**4 + 0 + 0.\nAnswer: -10*b**4 - 76*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -77, -179, -307, -473, -689?\nAnswer: -967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -1066*k**3 - 3*k**2 - 3*k + 3. Let g(u) = 1065*u**3 + 4*u**2 + 4*u - 4. What is 3*g(c) + 4*z(c)?\nAnswer: -1069*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 6086988?\nAnswer: -1\/3043494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 32 - 2 - (0 - 2). Calculate the highest common divisor of 80 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -277 + 287. Let w(x) = -2*x + 1. Let t(s) = -18*s + 3 + 15*s - 1. Let n(u) = 6*u - 4. Let h(p) = 3*n(p) + 7*t(p). What is o*w(q) - 6*h(q)?\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r**2\/4 + 3483*r\/4 + 422004 = 0. Calculate r.\nAnswer: -368, 1529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 18917413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14963?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uucu when four letters picked without replacement from ctzcutcutuc?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 7*g**2 - 3*g. Suppose 3 - 9 = t. Suppose 4*x + 4*x - 16 = 0. Let s(y) = -6*y**x + 79*y + 78*y - 155*y. What is t*s(h) - 5*l(h)?\nAnswer: h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 + -2 + 2\/2 - -5. Suppose -4*c = -5*d + 70, d + 30 = 2*d - 4*c. Solve d = -5*p, 3*i - 4*p + 1 = -y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 315976 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -v**4\/4 + v**3 + 3*v**2\/2 - 9*v + 27\/4 = 0.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.05?  (a) 13  (b) 3\/7  (c) -4  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 24 - 690*u + 34 - 14 + 723*u + 0 in the form f + l*u and give l.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7177182 and 558.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 24 = -3*k. Suppose 0 = -0*x + x - 5. Suppose -2 = x*i + 8, -2*i - 73 = -3*f. What is the remainder when f is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 526, 527, 528?\nAnswer: 529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**2 + 17*m - 50. Let f be k(11). Solve 6*r - 4 = -f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 400, 410, 424, 442, 464, 490, 520?\nAnswer: 554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -4*p + 13. Suppose -3*l + 5*n = 5, l = -2*n + 1 + 1. Solve p*w + l - 5 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 37456644 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -579 - -542.73. Let u = c + -0.73. Let i = u + 35. What is the nearest to -1\/3 in i, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, s: 7, n: 1}. What is prob of sequence nr?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*y = -324 + 94. Suppose -4*m + 15 = 4*c + 3, c = m - 13. Sort y, -2, m in descending order.\nAnswer: m, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u = -4*c - 3, -3*c - 3 = -4*c + u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 836314631 to the power of 1\/2, to the nearest integer?\nAnswer: 28919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m - 3*s - 29, -s - 3*s = 0. Calculate the remainder when m is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2904)*1)\/(sqrt(192) + -2*sqrt(192) + sqrt(192) + sqrt(192)))\/(sqrt(4) + sqrt(576)*-4 + (-5*sqrt(576) - sqrt(576))).\nAnswer: -11*sqrt(2)\/952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7069 + 7069.3. What is the nearest to -0.1 in 22, -1.1, 1\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20 + 211210?\nAnswer: 211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-7)\/(105\/192))\/(14\/(-175)). What is the greatest common divisor of 32 and f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nubb when four letters picked without replacement from unbb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*q - 8*q + 8286. Let m(u) = 5*u + 7. Let n be m(-4). Is q*(n\/3 - -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the third derivative of -o**6\/120 - o**5\/15 - 23*o**3\/6 - o**2 - 3. Let s be m(-5). Solve s*t + 8 = -2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -302 - 352 = 49*b + 81 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6817 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 6*t**3 - 7*t**2 + 93*t. Let g(n) = -14*n**3 + 17*n**2 - 186*n - 1. Calculate 2*g(m) + 5*q(m).\nAnswer: 2*m**3 - m**2 + 93*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 12*v - 12. Let o be z(8). Suppose -5*c + 2*c - 3*w = -o, 22 = c - 2*w. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k**(-2\/15)*k)\/(k*k*k**5*k*k))\/(k**(2\/13)*k*k**(-3\/5)*k))\/((k\/(k\/k**(3\/2)))**17)**(-2\/35) assuming k is positive.\nAnswer: k**(-9869\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 87  (b) 3\/5  (c) -91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1\/(2\/(-16)))\/(34 + -35). Suppose -y = -2*y + l. Let p(x) = -x**2 + 8*x + 3. Calculate the remainder when 8 is divided by p(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -11b - 2d?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, n: 1, s: 1, u: 1, x: 1}. What is prob of sequence xx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjoozp. What is prob of picking 1 z, 1 j, and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 1 + 4)*(3*b + b - 3*b) + (b - 5 + 5)*(-1 + 5 - 2) + 8 + 5 + 2*b - 5 to t + g*b and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11210000 - 121?\nAnswer: -11210121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 4*r = 0. Suppose 3*z - 82 - 190 = -m, r = -2*z - 2*m + 188. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*v + 3*v**3 + 15 - 16 + 0*v as f*v**3 + o + i*v + y*v**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 42.88000053 and 1?\nAnswer: 41.88000053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 78 and 624.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2\/9 + -5\/9. Let x = 53375 + -53376. Which is the second biggest value?  (a) v  (b) x  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.1 + -0.9. Let w = 30 + -35. What is the closest to n in w, 6\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 807, 1631, 2453, 3273, 4091?\n\"Answer: -i**2 + 827*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 87*a**3 - 219 + 219*a**3 - 44*a + 72*a**3 + 170*a + 220 wrt a?\nAnswer: 2268*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 16*s + 7. Let v be y(7). Let b(j) = 3*j**3 + 22*j**2 + 4*j - 117. Let z be b(-6). Solve -z*i + v = 107 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - (57 - (96 + 14))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 393945 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.0199 in 0.4, 3, -7225?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -522b5a (base 12) to base 8.\nAnswer: -4730766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -c**2 - 3786*c - 146133 = 0. What is c?\nAnswer: -3747, -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -2*d**3 + 4*d**2 + 3*d + 6. Calculate t(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 75650 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 160*z**2 + 3.\nAnswer: -160*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 111 - -121333201011?\nAnswer: 121333201122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**2. Suppose -5*c - 5 = 5*a + 5, 2 = -c. Let q(j) be the third derivative of 2*j**2 + 0*j**3 + 1\/60*j**5 + a + 0*j**4 + 0*j. Give q(r(w)).\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -17725 + 17725 + 646*s**2 + (-2*s**2 + 5*s**2 - s**2)*(-2 + 0 + 3) as l*s + i*s**2 + y and give i.\nAnswer: 648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 155*c - 124*c = 510787. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 2*h = -5*h + 10, 3*c - 2 = -h. Let m(o) be the second derivative of 0 + 4*o + 4\/3*o**3 - 1\/2*o**2. Calculate m(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o + 3*x - 17, 4*o - 22 = 3*x - x. Solve 0 = 4*u - 8, 0 = -2*j - o*u - 3 + 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*f**3 - 21*f**3 - 31*f**3 + 14*f**3 - 22*f - 142*f wrt f?\nAnswer: -246*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 87*a**3*p**6 - 2*a**3 + a**2*p**2 + 210*p**6 - 6179*p wrt p.\nAnswer: 10440*a**3*p**3 + 25200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/2*(-36)\/(-24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(3) + 0)**2*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1697883 is divided by 53056.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 29 - 58 = 0. What is the remainder when 45\/(-6)*138\/(-9) is divided by v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -677*u**4 - 60*u**3 - 982*u**2 - 66*u wrt u.\nAnswer: -16248*u - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0147776897 to 3 decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 532, -396, -3002, -8126, -16608, -29288?\n\"Answer: -140*h**3 + h**2 + 49*h + 622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 75892302 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in 0.22, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1429.\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**3 - 10*y**2 + 22*y + 2. Let m be i(6). Let o(t) = t**3 + 10*t**2 - 3*t - 11. Let l be o(m). Let q be 1*8 + 3 + -6. Solve l + 1 = q*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the third derivative of 43*o**7\/105 + 11*o**4\/6 + 7*o**3\/6 - 1947*o**2. Find the second derivative of w(g) wrt g.\nAnswer: 1032*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 65*r + 70*r - 2160 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes after 3:29 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -115*h - 25 + 1060 = 0 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0903611 centuries in decades?\nAnswer: 0.903611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -239818, -476783, -713748, -950713, -1187678?\n\"Answer: -236965*o - 2853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1146a9 (base 11) to base 15.\nAnswer: -38d41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s - 6*s. Let d be -1 + s\/1 + 3. Solve -n = -3*q + 4, q - d = -3*n - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/4*6*1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 + -2722670?\nAnswer: -2722672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m + 11. Let d(a) = a + 23. Let f(n) = 3*d(n) - 5*v(n). What is the derivative of f(q) wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 3 = 5*l - 3*x, 5 = l + 5*x. Suppose l*h = -2*h. Solve -3*a + 6 = -h*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 6*n - 4*n. Suppose 0 = -n*f + 3*b + 1037, -b + 6*b = 5*f - 1300. Let x = 473 - f. Calculate the highest common factor of 24 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 0, -758, -29, 4 in increasing order.\nAnswer: -758, -29, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 4912.538 litres?\nAnswer: 4912538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 + 0.51914?\nAnswer: 0.61914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 99859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -42 + 46. What is the closest to 0 in 1, -0.2, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26278, 52536, 78780, 105004, 131202, 157368, 183496, 209580?\nAnswer: 235614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.07307, 260, -3\/8 in ascending order.\nAnswer: -3\/8, 0.07307, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, z: 2, l: 2, v: 3}. Give prob of picking 1 l and 1 v.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/(-11)*(-2)\/(-515). Let u = -103667051261 + 3523643072797583\/33990. Let v = u - i. Calculate the common denominator of v and -137\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**3 - 14*w**2 - 14*w + 4. Suppose -5*q - 54 = 3*c, 4*c + 3*q - 2*q = -55. Is 15 a factor of k(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -9. Let j(o) = o + 1. Let v(p) = 5*j(p) + q(p). Let g be v(9). Let k = g + 2. List the prime factors of k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -24, -21, -4, 33, 96, 191, 324, 501?\n\"Answer: d**3 + d**2 - 7*d - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13 and 2384993.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11 - -10.885. Round a to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -6  (b) 93  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -3543782, -14175126, -31894034, -56700506, -88594542?\n\"Answer: -3543782*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**3 - 5*j**2 - 14*j + 8. Let a(i) = -2 + 2*i + 5*i + 0*i - i**3 - 8*i. Calculate the lowest common multiple of a(-2) and f(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 281933.\nAnswer: 281933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 890 is divided by 64?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-32)\/40)\/((-1)\/5). Suppose r*h - 9*h - 8100 = 0. What is h rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2998*g**6 - 849*g**2 + 4*g**4 + 20963*g**5 - 4*g**4 - 20963*g**5 wrt g?\nAnswer: 359760*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -7*r - 7*r - 20 - 8*r. Let u(h) = -9*h - 8. Determine -5*b(f) + 12*u(f).\nAnswer: 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17 and 3281.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 163620151 is divided by 81810060?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -16 + 10. Let p = m + 5.9. Is -0.1 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**2 + 6*m - 4. Let s be b(5). Suppose 0 = 3*o - 2*z - s - 0, 0 = -4*o - 3*z - 10. Let c(i) = -9*i - 1. What is the units digit of c(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3319 divided by -50981?\nAnswer: 3319\/50981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**3 - d - 3. Let l(i) = 6*i**3 + 6*i**2 - 36*i - 45. Let p(r) = 3*f(r) - l(r). Suppose p(a) = 0. What is a?\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12142 + 12146. Let h(g) be the second derivative of 8\/3*g**3 + 14*g + 0*g**2 + 1\/5*g**5 + 0 + 5\/3*g**p. Factor h(s).\nAnswer: 4*s*(s + 1)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/225 and -17\/6948050?\nAnswer: 62532450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 35184969\/2 or 17592486?\nAnswer: 35184969\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -109 - 383. Suppose 7*x - 1432 = -m. What is the greatest common factor of 11 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 4 - 2)*(14*x - 33 + 33) + 17 - 6*x - 17 + 3*x - 3*x + 2*x.\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*240493.\nAnswer: 24049.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3281*z - 1458*z = -36460 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 58596657*x - 113051004 wrt x.\nAnswer: 58596657","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 2*u - 4 = -3*u, 5*t + u - 10 = 0. Suppose t*j - 225 = -3*y, -2*y + 186 = -4*j + 456. What are the prime factors of j?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -44 - -44. Suppose -7*x + t*x + 1701 = 0. Is x a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 - 2) + 1 + 0. Suppose -5*m + 7 + 28 = s. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 278306 is divided by 3127?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 66 + -62. Suppose -101 = -a*f - 37. Solve 4*p - f = -2*i + 8, 3*i = 2*p + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 41585312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes before 5:35 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r + r = -5*k + 130, r = -4*k - 16. Suppose 4*j + 4*m = j + 131, -3*j - 3*m = -126. Let i = j + r. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k = 3*g - 16, 3*g + 0 - 15 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2873 and 2387.2006.\nAnswer: -485.7994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -207344*n**2 + n + 8. Let p be r(8). What is p rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.083, -383, 4, 3\/8, 1 in descending order.\nAnswer: 4, 1, 3\/8, 0.083, -383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*p + 7*p - p - 237*p**2)*(3 - 5 + 5) to x*p**2 + i*p + k and give x.\nAnswer: -711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*(n**(-2\/5)\/n*n)\/n)**(-3\/22)\/((n*n**(-2)*n)\/n*n\/(n*n*n**(2\/11)*n)) assuming n is positive.\nAnswer: n**(178\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5 - -412?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1441971279 to the power of 1\/4, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 911 + -614. Let y be 453\/6*(15 + 2 + -7). Suppose 21*u - y - 295 = 0. Calculate the remainder when o is divided by u.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 divided by 5?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -17*g + 4*g - 3*g**2 - 11*g - 11*g - 2*g**2.\nAnswer: -5*g*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29937.\nAnswer: 3, 17, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 8 + -4 - ((-5980)\/(-747))\/2. Is -1 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s*(s**(-2\/5)*s*s)\/s)**(-1\/2)*(s*s**0)**49*(s**6*s**(2\/27))**(4\/11) assuming s is positive.\nAnswer: s**(148229\/2970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*b + 0*b - b + (4*b - 5*b + 0*b)*(-2 + 3 - 2))*(4*b - 2*b - 3*b) + (-3 + 4 - 2)*(-4 - 14*b**2 + 4).\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 1587*i + 2678. Calculate the remainder when y(0) is divided by 27.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5*1\/30*(-44)\/((-1232)\/189).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x**4 - 716*x**3 - 6594*x**2 - 4436*x + 11744 = 0.\nAnswer: -8, -2, 1, 367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.0787 rounded to one decimal place?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.25 from -410290.\nAnswer: -410289.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 2*j + 114 = 5*c, 0 = 2*c - 6. Suppose -5*q + 39 = 4*l - 34, -q - 25 = -l. What is the greatest common factor of l and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**3 - 2*t**2 - t - 3. Let y be f(3). Let w be (-5)\/1*(-3)\/y. Let b = 101 + -81. Calculate the greatest common factor of b and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13 - -8) + 11 + (-28 - (11 - 4))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 73 divide 643643411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 810755357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 26522945.1 to the nearest one thousand.\nAnswer: 26523000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 23469601*p**2 + 120950523*p.\nAnswer: 46939202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**2. Suppose -g - 4 = -3*g. Suppose -2*t + 5*h = -0*h - 8, -g*h = -t + 4. Let o(k) = -4*k**2 + t*k - 4*k + k**2. Give o(u(z)).\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 53917432 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.1  (b) -31  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -3135*c + 34569. Determine f(11).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 4 - 0. Suppose 0 = 9*c - 4*c + 20. Let x be (-4)\/(-10)*(3 + (-8)\/c). Put -5, k, x in descending order.\nAnswer: k, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 22 + 0 - (-1)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 15244*m - 15247*m = 11, -2*m - 20 = -5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - 34 = -2*a. What is the second derivative of 17*d**2 + 3*d**4 + 5*d - a*d**2 wrt d?\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -111, 0, -5, -99, 253 in decreasing order.\nAnswer: 253, 0, -5, -99, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3754687427\/5340 - -703125. Find the common denominator of v and -67\/4272.\nAnswer: 21360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 37  (b) 2  (c) -0.5  (d) 1\/5  (e) 25472\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*x = -12*x + 27*x - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 + -1. Suppose 10*s - 6*s = 96. Let y be (-93)\/72 + s\/(-64). Sort -2\/5, y, -12, a in decreasing order.\nAnswer: -2\/5, y, a, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2, 2\/5, 11.9, -18, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.41 and 3.90928.\nAnswer: 3.49928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**3 + 27*z**2 + 42*z - 334. Calculate u(-25).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**3 + 99*i**2 + 2245*i - 362. What is n(118)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 5, 64, 173, 338, 565?\n\"Answer: l**3 + 19*l**2 - 5*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9516483115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01420133 to 4 decimal places.\nAnswer: 0.0142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 11755 != -12058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - (-1 - 0)) + (6 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4778.\nAnswer: 2, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 225*a**4 + 5*a**3 - 5*a**2 - 5*a + 152. Let h(x) = -x**4 - x**3 + x**2 + x + 1. Let u(f) = 5*h(f) + p(f). What is the derivative of u(m) wrt m?\nAnswer: 880*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -9  (b) -0.05  (c) 2  (d) 4\/3  (e) 1  (f) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - w - 2*d + 16 = 0, w = -2*d. Let h(z) = 2*z - 2 + z - 4*z. Let a be h(w). Solve -3*c = a*c - 4*g + 33, 4*c = -5*g - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-4))\/(36\/12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 + -1 - 3\/(-1). Suppose 2*d - 6*d + 31 = y, c*y = -2*d + 152. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -49543, -99110, -148677, -198244, -247811, -297378?\nAnswer: -346945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 6b5 + -3?\nAnswer: 6b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 1026856.8 to the nearest 1000.\nAnswer: 1027000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the second derivative of -3*t**5\/10 - t**4\/4 + t**3\/2 - 4*t**2 + 9*t. Let u(k) = 4*k**3 + 2*k**2 - 2*k + 5. What is 5*h(n) + 8*u(n)?\nAnswer: 2*n**3 + n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 104 + 188 = 2*s, 0 = -4*s + 2*l + 578. Calculate the remainder when s is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1435, 0, -94, -32 in descending order.\nAnswer: 0, -32, -94, -1435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -12, 6\/7, -1\/7, -0.7287?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 20628*c**3*s**2 + 143*c**3 + 46*c**2*s**2 + 3*c*s**2 + 14245*s**2 wrt c?\nAnswer: 123768*s**2 + 858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9712 is divided by 577?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1853, 7491, 16875, 30005?\n\"Answer: 1873*s**2 + 19*s - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -116, -804, -2670, -6302, -12288?\n\"Answer: -98*n**3 - n**2 + n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 16438 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**2 + 20*w + 48. Let h be z(-19). Let s = 17 - 26. Let q = s + h. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 604476 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is (1 - 1\/6) + 96206145\/306 + -1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -71, -144, -217?\n\"Answer: -73*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Do 3.3 and 1141 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**2 - 182*p - 3785. What is w(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 23\/15, -2, 2\/13, -26, 2\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2\/1457 + -77243\/16027. Calculate the common denominator of 18\/31 and k.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -74*a**3 - 43*a + 37*a + 7*a**4 + 172 - 46 + 2*a**5 wrt a?\nAnswer: 40*a**3 + 84*a**2 - 444*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1068822 and 23652?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.426 + 1.42601507. What is f rounded to 6 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**16\/k**(-31))**44 assuming k is positive.\nAnswer: k**2068","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 935 and 1067770.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.574 rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.04 + -0.08. What is the third biggest value in -2, 2\/17, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1500, 1497, 1482, 1455?\nAnswer: 1416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-5 + 0)\/(5\/(-5)) - 4. Let z(u) be the first derivative of -43\/10*u**4 + k + 0*u + 56\/25*u**5 + 34\/15*u**3 - 2\/5*u**2. Solve z(b) = 0 for b.\nAnswer: 0, 1\/4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17 + 9 + 8 + 2*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1254820, 1254826, 1254848, 1254892, 1254964, 1255070?\n\"Answer: t**3 + 2*t**2 - 7*t + 1254824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 - -11. Let n = -2 + 5. Suppose -u + j = -0, -73 = -4*h + n*u. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 856 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 8 + 2621?\nAnswer: 2629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - r + 13, -3*r + 2*r + 7 = -3*l. Let d(p) = -172*p - 38. List the prime factors of d(l).\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**3 - 12*v**2 + 15*v - 10. Let q be d(10). Let u be q\/27 - 10\/(-5). Which is the closest to -3?  (a) 1  (b) -0.3  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:10 PM and 7:54 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.004653 to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 188*n = -1354 + 395 - 733 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the second derivative of q**4\/6 - q**3\/6 + 7*q**2 + 7*q. Let p be ((-54)\/(-21))\/3*(-5 + -2). List the prime factors of g(p).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -0.5  (b) -0.1  (c) -2  (d) -1\/291\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5506, 4930, 4354?\nAnswer: 3778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o + 3*n = 21, n + 9 = 625*o - 622*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 24244631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o + 379*f = 376*f - 24, -4*o - 17 = -f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -h - 2*d, 6*h = 2*h - 3*d + 45. Let s(i) = i + 8. Does 17 divide s(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ln when two letters picked without replacement from rrnrnrarrnrnrnnwlnw?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 3, -68, -2 in descending order.\nAnswer: 4, 3, -2, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*z**3 - 57980*z**2 - 3580345*z - 55420870.\nAnswer: -5*(z + 31)**2*(z + 11534)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2 - 2\/2 - -4. Suppose -d = -5*p + 3*m, -2*p + 1 + 1 = -2*m. Is p greater than -5\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -15723 or -15726?\nAnswer: -15723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3195 is divided by 667?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18126 and 6042.\nAnswer: 18126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -14*o + 298. Let t be v(20). Suppose 4*n = a - 4*a + 21, 5*n = -a + t. What is the second biggest value in 0.3, a, -26?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -193\/72072 and -40\/1001.\nAnswer: 72072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**3 + 16*c**2 + 33*c - 654. Determine l(15).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -364 divided by 418\nAnswer: -182\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 33237203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -166*u = -7861 + 2432 - 3867. What is the greatest common factor of 602 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dududduuuuduuuduuud. What is prob of picking 2 u?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -675*w - 5259 + 63855 = 1055*w - 20984 for w.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 469302 is divided by 142.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -4, 0.9037, -29?\nAnswer: 0.9037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/12 + (-3)\/(-4). Solve -2*p - 11 = -s, -22 = -4*u + 2*p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - (-28)\/(-8))\/(2\/4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1640, 3294, 4946, 6596?\nAnswer: 8244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-64)\/(-14) + (-4 - 62\/(-14)). Suppose 2*h = -o + k + 1, 19 = 5*o - h. Find the third derivative of 168*j**o - 168*j**4 - 29*j**5 + 2*j**2 wrt j.\nAnswer: -1740*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**2 + r - 1. Suppose -c + 4*s = -0*c + 6, -c + s = 3. Let z be a(c). Is ((68 - 2) + -1)*z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b + 4*t - 40, 0*t - 5*t - 5 = b. Let a be -2*(-6)\/b + (-157499973)\/(-45). What is a rounded to the nearest 100000?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 126053\/16 - 7882. Let o be (-1)\/(-2)*(-7972)\/(-6). Let b = o - 640. Calculate the common denominator of b and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (52\/16 + -2)\/(5\/20). Solve 0 = 2*y - r*y + z + 2, -3*z - 6 = 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -2*v**3 - 3 - 2*v**2 + 6*v**2 - 2 + v. Let y(x) = -10*x**3 + 20*x**2 + 5*x - 26. Let o(r) = 11*p(r) - 2*y(r). Give o(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 11. Let y(q) = -q**3 + 6*q**2 - 3*q - 7. What is the remainder when h is divided by y(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7 - -16. Let z = 7 - 19. Let p = z + c. Put -1\/2, 3\/2, p in decreasing order.\nAnswer: 3\/2, -1\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*j**2*k**2 - 487*j**2*k + 5*j**2 + 10*k**2 + 236*k wrt j?\nAnswer: 6*j*k**2 - 974*j*k + 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3346, 3212, 2988, 2674, 2270, 1776, 1192?\n\"Answer: -45*m**2 + m + 3390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -10*q + 62. Give a(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -750*h - 26 = -754*h + 13*f, -3*h - 11*f - 22 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -8 - (4*2 - (-1281)\/(-61)). Solve -c + 4*r - 6 = 11, -c + h*r = 22 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 29  (b) 26  (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((481\/(-52))\/(-37))\/((-6)\/(-16))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 342\/14 + 12\/(-28). Suppose 6*d + v = 12*d. Suppose -d - 1 = 5*t. Sort -2, 5, t in descending order.\nAnswer: 5, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmdrgao. Give prob of picking 1 r, 1 m, and 1 d.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**2 - 4*r - 4. Let t be 2\/(-6) + 102\/9. What is the smallest common multiple of c(6) and t\/5 + 5\/(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:21 PM and 7:11 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 2*p + 14. Let d(w) = w + 6. Let i be d(10). Is r(i) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1137890910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 66ca9ce - 2?\nAnswer: 66ca9cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 2490432275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -o + 5, -4*h + 5*o + 7 = -10. Let k(q) = q - 5. Let d be k(0). Let f(p) = -4*p**2 + 3. Let c(s) = -7*s**2 + 5. Give d*f(z) + h*c(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11966 + -10915.6. What is f rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -10*g**3 + g**2 - g. Let i be z(1). Let x be 6*(i\/(-3) + 4). Let v(h) = -h - 3. Let a be v(-7). Calculate the greatest common divisor of x and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((5368\/(-154))\/((-16)\/56))\/(15\/(-75)*10)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 208479767.\nAnswer: 208479767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(1\/2))\/((-105)\/35)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x - 12. Determine z(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 110 - 101. Put -1, -5, n in increasing order.\nAnswer: -5, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -2*v + 14. Suppose -4*j + 17 + 3 = 0. Suppose -j*t - 14 = -54. Let l be c(t). Which is smaller: -12\/7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 + 40464?\nAnswer: 40460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/7, 2, 465021, 1, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 10162822 rounded to the nearest 10000?\nAnswer: 10160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 15) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-21*36\/(-11340))\/(3\/((-135)\/5))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(2\/3))\/j*j\/(j**(1\/6)\/j)*j**(-3)*j\/j**(-7)*((j*j**(-9)\/j*j)\/(j*(j**(-1)\/j)\/j))**(-17) assuming j is positive.\nAnswer: j**(219\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y - 5*y**2 + 14 - 8 + 2*y**2 - 9 = 0. What is y?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 448 and 14528?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 13184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -154*y + 859*y - 151*y - 155*y - 153*y - 250*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -8*g**2. Suppose -d + 5 = -3*o - 0, 0 = -5*d - 2*o + 8. Let s(b) = -b**d - 20 + 20. Determine n(s(i)).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -18*p**4 + 18*p**3 - 18*p**3 + (0*p + 2*p - p)*(4*p**3 - 4*p**3 + p**3).\nAnswer: -17*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5 + 5. Let v = 0 + m. Suppose -2*b = -31 + 21. Sort b, -2, v in decreasing order.\nAnswer: b, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) -601  (b) 5  (c) -0.4  (d) -4\/3  (e) 17  (f) -0.5  (g) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the third derivative of -5*y**4\/12 + y**3 + 19*y**2. Let j be h(-3). Let v = j + -30. What is the third smallest value in v, 1, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the second derivative of 5*k**4\/32 - k**3\/16 + 11*k. Factor m(i).\nAnswer: 3*i*(5*i - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 21346708 + -21348451.8566. Let j = p + 1744. Round j to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes before 7:44 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 2 b when four letters picked without replacement from qabqxbahhbda.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/8 of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -152 - -176. Solve 8*k - a = 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-1*-1*(sqrt(72) - (sqrt(72) + 5 + sqrt(72) + -1))*4)**2.\nAnswer: 768*sqrt(2) + 1408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 33.7 in 0.1, 3, 2, -3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-9)\/(-2) - (-465465)\/66?\nAnswer: 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 14 + (0 + -4 - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**3\/5 + 168138*v**2\/5 + 7071798336*v\/5 + 70633939360.\nAnswer: (v + 50)*(v + 84044)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 60*g + 9 - 10 + 1 to l*g + a and give l.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the third derivative of 0*j**4 + 0*j**3 - 1\/672*j**8 + 1\/840*j**7 + 0 + 1\/240*j**6 - 1\/240*j**5 + 0*j - 27*j**2. Determine r, given that y(r) = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzzqzzqqqq. Give prob of picking 3 z.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-3)*q*q**(-2))\/((q\/(q*q**(-5\/2)*q))\/q*q)**(-35) assuming q is positive.\nAnswer: q**(97\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2932097 - 1147583.\nAnswer: -4079680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 6*m**2 - m. Let y be i(1). Let f be (0 + 2\/y)*120. Suppose 0 = -4*o + o + 3*d + f, 5*o = -4*d + 80. List 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 thousands digit of 8006786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 + -4. What is the least common multiple of ((-2)\/(-5))\/((-8)\/(-160)) and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -343 by -78.\nAnswer: 343\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(4400) - ((sqrt(132) - sqrt(132)*-3)*-4 + sqrt(132) - sqrt(132))\/sqrt(12))**2.\nAnswer: 288*sqrt(11) + 14272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the first derivative of d**2 + 2. Let m(w) be the second derivative of -w**4\/12 - 2*w. Calculate m(r(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-17)\/6 + (-4)\/24. Let r = w + 6. Let d(c) = -2*c + 5*c - c - r*c. Let l(g) = 2*g. Give d(l(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/7 - 420\/2205. Which is greater: k or 7\/1532?\nAnswer: 7\/1532","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**3 + 281*y**2 - 1138*y - 11. Determine u(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 7, f: 1, a: 2, u: 2}. Give prob of picking 1 a and 1 r.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 20*n**2 - 37*n - 38. Let o be b(-1). Solve 12*q + 41 + o = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*g**2 + 22*g - 22*g - g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, w: 2, y: 2, j: 1, o: 1}. What is prob of sequence iw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-2)*-5*8\/(-20)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -85, -95, -107, -121, -137, -155, -175?\n\"Answer: -y**2 - 7*y - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the third derivative of x**7\/35 + 2*x**6\/15 + 463*x**5\/60 + 3*x**2 - 34*x. What is the third derivative of v(d) wrt d?\nAnswer: 144*d + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 90*g + 466. Let v be l(-47). Is -3765 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0.5, 431\/4, 3.\nAnswer: 0.5, 3, 5, 431\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 2*t + 10. Let i = 43 - 18. Let c(p) = 48*p**2 - i*p**2 - 25*p**2. Give c(y(x)).\nAnswer: -8*x**2 - 80*x - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (12\/10)\/(4\/30). What is the second derivative of -55 + u*v**4 + 55 - 25*v wrt v?\nAnswer: 108*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(104)\/sqrt(4) + sqrt(26))\/(sqrt(98) - sqrt(98)*-2 - sqrt(98)) + (0 + sqrt(637) - -2*sqrt(52))**2 + 3)*3.\nAnswer: 3*sqrt(13)\/7 + 4728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 r, and 1 c when three letters picked without replacement from rcrwrwjwwj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2168 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 46670 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 7 + -7 + -1 + 1. Suppose 2*n - 36 = 5*k, -5*n + u = 2*k - 32. Solve -4*o - 3*x + 6 = 0, 2*x + 2*x - n = 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -4*(0 + 63\/4). Let y = r - -107. Calculate the highest common divisor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4)\/(-18) + (-820)\/45. Let h = j - -28. Suppose 2*l = 2*t - h, 3*t + 2 - 21 = 2*l. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**3 - 4*l**2 - 3*l + 8. Let y be k(5). Suppose 2*a - 6 = -a, 4*h + 5*a - y = 0. Suppose -6*b - h*b = -328. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10406513803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the first derivative of 2*b**2 + 25*b + 33. Calculate the remainder when m(3) is divided by (-2)\/4 - (-82)\/4.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 18 and 11862?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(19\/2)*h)**28 assuming h is positive.\nAnswer: h**294","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3200 and 24704.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -9*q - 1. Let h(v) = -8*v - 1. Let o(g) = -5*h(g) + 4*t(g). Let r = 149 - 151. Determine o(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 19 - 9. Let j be 4 + 0 + u\/(-2). Sort -2, j, 2, 4 in descending order.\nAnswer: 4, 2, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -4 - (1 - (-8)\/4). Let c = u - -12. Solve -20 = -c*t, -w + 0*w + 19 = 4*t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -93*41\/6642*-18?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 - 13 - 0) + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-10 + -4)*(-3)\/3. Suppose 5*w - y = 1. Solve 4*l + 14 = w*f, f - 5*l - 6 = -3*l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32326.5455 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ns when two letters picked without replacement from {y: 1, v: 1, n: 6, r: 5, s: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = r, 0 = 5*b - 0*b - 3*r - 7. What is j in -8*j**b + 3*j**3 - 3*j + 7*j**2 + 3 - 2*j**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 - 0. Suppose -12*y + 4*y = -1688. Suppose -4*i + y = 3*r + 16, -3*r + 213 = -t*i. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, -816, -3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 301451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes before 2:36 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t**2 - 7*t + 4. Let h be i(5). Let z be 60\/h - 1\/(-2). Which is the second biggest value?  (a) 1\/2  (b) 5  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2*(-1)\/7)\/(47\/(-319788)*-81)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*n - 8815324 = 1730232. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 257, 1065, 2399, 4253, 6621, 9497?\nAnswer: 12875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 0.3  (b) -5  (c) -197  (d) 0.19  (e) 2.92\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -u**3 + 2*u**2 + 210443*u - 11671639 wrt u?\nAnswer: -3*u**2 + 4*u + 210443","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = 4*d - 3*s, 28 = -d + 2505*s - 2510*s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 842 divide 590401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a kilometer in millimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -2\/26057?\nAnswer: -2\/26057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -1597*i + 513 + 511 - 1024 in the form p + x*i and give x.\nAnswer: -1597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 49*(-775)\/7525 + (-4)\/(-86).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 936\/11 - 3535\/44. Let x be 2\/6 + (-10082)\/312. Let b = x - -276\/13. What is the common denominator of i and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -3256, -3254, -3250, -3244, -3236, -3226?\n\"Answer: b**2 - b - 3256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c**2 + 0*c**2 - 2*c**2)*(3 - c - 3)*(0 - 2 + 1) - 4*c**3 + c**3 - 2*c**3.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*l = -50*l + 12233. Let y = l - -944. Factor 24\/7*n**2 - 12\/7*n**y + 6\/7 + 2\/7*n**4 - 20\/7*n.\nAnswer: 2*(n - 3)*(n - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 139469 and 13906?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 18446 - -7846. What are the prime factors of r?\nAnswer: 2, 3, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**2\/4 - 31429*y\/4 - 10477\/2.\nAnswer: (y - 10477)*(3*y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 88940\/23 - 3868. Let a = x + 214\/161. Let i = 0 + -3. What is the third smallest value in 2, i, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 2*p**2 + 158. Let s(r) = -227*r**2 - 234*r**2 + 464*r**2. Calculate s(g(o)).\nAnswer: 12*o**4 + 1896*o**2 + 74892","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 24a3 + 3177a?\nAnswer: 34061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 5269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((4 - 4) + -5)\/(-5). Is (x - -1471) + 14 + -15 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((r\/(r**(-4)\/r))\/r*r)\/r)\/r*r**(-4)*r)**(1\/40) assuming r is positive.\nAnswer: r**(1\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (94*(-33)\/440 + 6)*(-55)\/22?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2805, 2807, 2809, 2811, 2813?\nAnswer: 2815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*t + 16*t**4 - 35*t**2 + 8*t + 27*t**2 - 4*t**5 - 16*t**3 - 8 = 0 for t.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ciic when four letters picked without replacement from iccccciicccciccccc?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (12\/10)\/(39\/65). Let y be f\/(-7) - (-342)\/21. Let d be 8*(-36)\/y*-14. Calculate the greatest common factor of 28 and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/3*-4)\/((-6)\/(-9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from tduteuttd.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0630971187 to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i + 3*i - i + (i - 4*i + i)*(1 + 2 - 2) + 1 + 9*i - 4*i + i.\nAnswer: 5*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 19121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 19*k - 32*k + 15*k + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 171 = 4*y - w, 3*y + 101 = -w. Which is greater: y or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -4*g**3 - 5*g**2 + 4*g - 8. Let w(v) = -3*v**3 - 4*v**2 + 5*v - 9. Let l = -47 + 45. Let y(f) = l*a(f) + 3*w(f). What are the prime factors of y(-7)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -25908257*w**3 + 97779153*w wrt w?\nAnswer: -155449542*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47086 is divided by 122?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (((12696\/(-42))\/(-23))\/(3*(-8)\/84))\/(-1)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62 - 9*d**2 - 957*d**2 + 150.\nAnswer: -966*d**2 + 212","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k - 790 - 1530 = 0. What are the prime factors of k?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**3 + 4*j**2 + 2*j + 7. Let h be t(-5). Let x be (-204)\/h - (-2)\/(-7). Suppose -8 - 6 = -x*o. Solve 5*k = -o*p + 21, 0 = 3*p - 7*p + k + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4353 less than 45799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 493 + -143. What are the prime factors of t?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 96529259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -29518 + 12a3a?\nAnswer: -16589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -4*h**3 - 39*h**2 - 35*h - 79. Give r(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 272593 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*v**3 - 244092*v**2 - 976332*v - 976320.\nAnswer: -3*(v + 2)**2*(v + 81360)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*f + 2432 = 113*f. Solve -12*i + 8 = -f*i, -5*i - 10 = -3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-96)\/(-270))\/(1080\/(-675))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u + 1. Let j(a) = -16*a - 8*a**2 + 1 + 8*a - 6 + 0*a**3 + a**3. Let b be j(9). Let z(s) = -7*s + b*s + 2*s. What is -y(k) - 2*z(k)?\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-10058)\/(-65377))\/(-6*(-2)\/26)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t*t*t**(1\/5)*t))\/(t\/(t**1*t)))\/(t*t**(-3)*t\/t**(-2\/15)) assuming t is positive.\nAnswer: t**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18 + -10. Let i = u - 8.004. What is i rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2184\/1820)\/((-4)\/(-6)). Let -3\/5*i**4 - 3\/5*i**2 + 9\/5*i - b*i**3 + 6\/5 = 0. Calculate i.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-32 + 32 - 102*l)*(-3*l + 3*l + 5*l) - 3*l**2 - 2*l**2 + 6*l**2 - 6*l**2 + 4*l**2 + 3*l**2 + (3*l + 0*l - l)*(-2*l - 3 + 3).\nAnswer: -512*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4\/5  (b) -21.075  (c) -2\/3  (d) -22\/53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -a + 32, 0*a = -a - 5*k + 5. What is the smallest common multiple of a and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 71, 127, 181, 233, 283, 331, 377?\n\"Answer: -l**2 + 59*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 48 = 40. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -4*f - 1. Let v(x) = 2*x**2. Calculate v(c(i)).\nAnswer: 32*i**2 + 16*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - j = 10, -2*o + o - j + 5 = 0. Let q be (-38)\/(-6) - (-52)\/(-39). Let i be 1*(-5)\/q - -1. Sort o, 2, i in ascending order.\nAnswer: i, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 27*j**3 + 1. Suppose -7*l + 5 = -2*l. Let d be i(l). Let m be (-461)\/4 - 21\/d. What is m rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**2 + 12*q + 8. Let w be g(6). Suppose 0 = -0*j - 4*j - w. What is the second biggest value in j, 0.3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 48*y**4 - 2*y**3 - 115*y**2 + 2*y + 2. Let l(x) = x**4 + x**3 + 2*x**2 - x - 1. Let m(i) = 2*l(i) + p(i). What is the third derivative of m(r) wrt r?\nAnswer: 1200*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -19\/643 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 514\/12 - 35\/294*7. Solve -o = -5*g - 22 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.4 and 0.0707?\nAnswer: 0.09898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 41 and 656?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the third derivative of b**4\/12 + b**2. Let m(a) = 774 - 1533 + 6*a**2 + 751 + 7*a**2. Calculate c(m(k)).\nAnswer: 26*k**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the third derivative of c**5\/20 - 7*c**4\/24 - 4*c**3\/3 + 37*c**2. What is the units digit of j(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -907\/18 - -458\/9. Do n and -0.45 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(99)*1 + sqrt(99)))\/sqrt(9).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 136 or 23?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -46 - -64. What is the remainder when 34 + (3 - 1) + -1 is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 343634 to the power of 1\/2, to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -66002 + 5 + -3 + 0. Round s to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -692 - 243 = -5*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-3)\/20)\/(317\/7608))\/((-14)\/10)?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.024 and -276?\nAnswer: 6.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*p - 2*p**3 - 10*p.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 1 z when three letters picked without replacement from zzhhhhzhhzhzhh.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h + 2*h + h)*(-4 - 2 + 7) + h + 4*h - 6*h - h + 0*h + 3*h - 225*h + 491*h + 302*h.\nAnswer: 571*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1008414222 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -3*v - 16, -3*o - 4*v - 12 - 5 = 0. Let d = 128.698 + -126.7. Let k = d - -0.002. What is the closest to 1\/4 in k, o, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -155\/204 and 13\/8.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 128312 is divided by 717?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 69880559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -193\/6 + 33. Sort -3, 0.06, l in ascending order.\nAnswer: -3, 0.06, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i - 11. Suppose 8 = -2*l + 3*d, -3*l - 27 + 9 = -3*d. Let a be b(l). Let s(c) = -3. Let x(r) = 5 - 5 - 1 - 2*r + r. Calculate a*s(p) + 3*x(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 29  (b) -116  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*j**4 + 7*j - 9*j - 2*j**4 + j**2 - 3*j**3 + 0*j**4 to b*j**3 + g*j + d*j**2 + f*j**4 + h and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 1 + 66 + (-34 - 18) + 1 + 2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(11)*-2 + sqrt(88)\/sqrt(2))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -5*u - t, -u + 236 = -t + 238. Which is the third smallest value?  (a) 44  (b) -0.7  (c) u  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1647 + 1068 = -63*f + 258 for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1949?\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*h**3 + 3*h**3 + 0*h**3 + 2*h**3 - 3 + 3 + (0*h**2 - h**2 + 3*h**2)*(-3 + 3 + 2*h).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -100766, -123442, -161242, -214172, -282238, -365446?\n\"Answer: -u**3 - 7556*u**2 - u - 93208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 8*j**2 + 10*j**2 - 13 + 2 - 17*j**2 - 4*j. Let p be u(6). Let x be p + 7 - -1*4. Solve -d - x = 2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*w - 2064 = -319*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/87)\/(((-3712)\/9744)\/(120\/42))?\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 37, 3, 152, -1, 5, -5, 147 in decreasing order.\nAnswer: 152, 147, 37, 5, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence npxx when four letters picked without replacement from {i: 5, n: 7, p: 4, x: 3}?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (8\/6)\/(9\/27). Let g = 3 + 0. Suppose 2*k + d + 27 = -g*k, -2*k = 5*d + 20. Sort -3, p, k in ascending order.\nAnswer: k, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/40 - 22884\/(-40) - -4. Let v = -776 + n. What is v rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 12*b. Let j(r) = -24*r + 1. Let o be 3\/5 - (-60)\/25. Let s(f) = o*j(f) + 7*w(f). Is s(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 380399881?\nAnswer: 179, 1433, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*l**5 + 293*l**3 - 20*l + 6 wrt l.\nAnswer: 40*l**3 + 1758*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 2 + -249 + 246\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 17 + 74 + 5*u - 5*u + u**3 + 37*u**2 + 0*u + 2*u. Let i be g(-37). Let m = 2 + -2. Solve m = -4*o - i - 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, w: 11, x: 4, p: 3}. Give prob of picking 1 h, 2 x, and 1 p.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 875828956 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 26 in 4, 0, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.12, 22, 14, 3?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -96*s + 4046 = 23*s. What is the highest common factor of 134 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57*x + 7 - 29*x - 31*x - 7.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(2\/7))**8\/(t**(-3\/5)*t*t*t**(-4)) assuming t is positive.\nAnswer: t**(171\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that 5*i**3\/3 - 80*i**2 - 245*i\/3 = 0.\nAnswer: -1, 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(152)*2 + sqrt(152) + sqrt(152)) - (sqrt(152) - (sqrt(152) - (sqrt(152) + sqrt(152) + -1*sqrt(152))))*5)\/(sqrt(504)\/sqrt(7) + 6*sqrt(8)*-2).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 59\/68 - 2\/17. Let o = 151 - 149. Factor -3\/8*s**o - b - 9\/8*s.\nAnswer: -3*(s + 1)*(s + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the first derivative of 5\/3*f**3 + f**2 - 10 - 1\/12*f**4 + 0*f. Let x(o) be the second derivative of z(o). Find the first derivative of x(t) wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -34*(-78)\/153*3\/4 + (-24766)\/1904?\nAnswer: -1\/136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -752545 and 0.1.\nAnswer: -75254.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 256 - 209. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 66690 and 585.\nAnswer: 66690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(68) + (sqrt(68)*-2*6 + sqrt(68))**2.\nAnswer: 2*sqrt(17) + 8228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1737\/6*122\/(-305). Do y and -117 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 77 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 4, o: 6, w: 4}. What is prob of picking 2 w and 2 t?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-6) - 154\/(-33). Suppose 14 = q*c + 2*a, c = -a + 3 + 1. Solve -4*s = -2*x, 0 = -c*x - x + 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 + 161708.74.\nAnswer: 161692.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 792 times -4863?\nAnswer: -3851496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.057141 rounded to 2 decimal places?\nAnswer: -2.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -4*(-6)\/9 + -2. What is the biggest value in u, -3, -0.7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3380615, -3380621, -3380641, -3380681, -3380747?\nAnswer: -3380845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.6 - -1.8. Let w = u - 6.2. Let y = 2.7719 - 2.3719. What is the closest to -3\/5 in y, w, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1117656 and 2235312?\nAnswer: 2235312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttotottott. Give prob of sequence otot.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 858*x = 586*x + 2992 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (48\/(-9))\/(1\/(-3)). Let i be 4 - (9\/2 - 24\/b). Solve 0 = -t - 4 + i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5738057 * 0.8\nAnswer: -4590445.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 21054 or 21627?\nAnswer: 21627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:30 AM and 11:10 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 38\/5, -1\/9, -15 in descending order.\nAnswer: 38\/5, -1\/9, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/8 + (-1)\/(-4). Let u be (-5)\/((-3)\/(3 - f)). Solve 3 = -g + 2*c + u, -c - 10 = -5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17935\/36 > 497?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1324?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1745 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -3*d**3 - 43*d**2 - 142*d - 120 = 0.\nAnswer: -10, -3, -4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 331 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-2\/15)*g**(2\/11)*g)\/((g\/g**7)\/g**(-7))*((g\/(g*(g**1*g)\/g*g))\/(g**(1\/3)\/g))\/(g**1)**(-6) assuming g is positive.\nAnswer: g**(778\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w + 9*w**2 + 0*w + w)*(2*w**3 - 6*w**3 + 2*w**3)*(-6 + 0 + 4 + 3 - 1 + 3 + 0 + 4 - 6 + (1 - 4 + 1)*(1 + 2 - 5)).\nAnswer: -90*w**5 + 10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/768 and 67\/20.\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 - 1021002?\nAnswer: -1020222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15 + -23. Let u be (-114)\/p*(-32)\/(-12). Let f(n) = -36*n + 76*n - u*n. Let x(i) = -8*i**2. Give f(x(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 3*y**3 + 1 + 1 + 9*y**3 + 11*y**2 + 8*y - 13*y**3. List the prime factors of g(11).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/7)\/(57\/((-1197)\/(-30)))*2.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 60667 times -109?\nAnswer: -6612703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 30 (base 6) in base 7?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**2 - 20*v - 35. What is s(-14)?\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -169\/7 - -24. Let p = -17 + 19. What is the second smallest value in -3\/8, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 v, and 1 c when three letters picked without replacement from {h: 4, c: 2, j: 2, b: 3, s: 3, v: 1}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -3, 103, 2, 0, -6 in descending order.\nAnswer: 103, 2, 0, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -8 + -4 + 6 - (-26 - 1). What is the greatest common divisor of d and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.252 - 3503?\nAnswer: -3502.748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4924052, 9848105, 14772170, 19696253, 24620360?\nAnswer: 29544497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the third derivative of 1\/6*b**4 - 8*b**2 + 1\/60*b**5 + 0 - 2\/3*b**3 + 0*b. Give v(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 13956042 in 4, -1, -4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 3 - 8 = 0. Find the first derivative of 4*c - 5*c - 7 - b + 3 wrt c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i**2 - 1 + 1)*(26*i + 7*i - 11*i).\nAnswer: 44*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.2  (b) -11  (c) -1.4  (d) 1.67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -1396.54712 to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 48 + 57 = -s, 5*s - 55 = -4*j. Let n = 39 - j. Calculate the highest common factor of n and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 312, 1298, 2940, 5238?\n\"Answer: 328*h**2 + 2*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 3*n**2 - 4*n + 2. Let c(a) = -a**2 - 6*a + 3. Let x be c(-6). What is the remainder when 80 is divided by o(x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1751569\/50 + 35029. Calculate the common denominator of a and 49\/90.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 125288 divided by 31322?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, e: 1, j: 6, x: 1, y: 4, q: 2}. What is prob of sequence eqg?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*d**3 - 2646*d**2 + 2646*d**2 + 9 to p*d + n + v*d**2 + c*d**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 59151709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/1*399\/6251*2\/3?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 13) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23444671 is divided by 5100.\nAnswer: 5071","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 19149705 divided by -5?\nAnswer: -3829941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -416 (base 8) in base 11?\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 5*9653\nAnswer: 48265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 1 + 1)*(3 - 5 + 3) + 3 - 4 - 5)*(-3 + 3 + 2*v).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -175 + 177. Solve 4*q = 2*r + c*r + 20, -2*q + 4*r + 20 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15613, 15615, 15619, 15625, 15633, 15643, 15655?\nAnswer: 15669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1210?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -j**2 - 2*j**2 + 10*j**2 - 4*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve z + 2*t = 6*t - 20, 4*z = -t + 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4\/83, 290, 0.2, -6, -1\/3?\nAnswer: 290","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -2*i**3 - 7*i**2 + 6*i + 5. What are the prime factors of d(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 4 = 12. Suppose -5*w + 12 + v = 0. Solve 11 + 5 = -w*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((2600\/180)\/(-26))\/((-10)\/2070)?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -312812, -625621, -938426, -1251227, -1564024, -1876817?\nAnswer: -2189606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -30.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2*x)*(x + x - 4*x)*(-5 - 8*x**2 + 6 + 3*x**2).\nAnswer: -20*x**4 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3193208*g**2 + 5620468*g?\nAnswer: -6386416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -7.22340061823 and -0.05?\nAnswer: 7.17340061823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are 1\/397 and 74.97 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1797 a factor of 27244317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -309647 to the nearest 1000.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**3 - c**2 - 3*c + 2. Let t be x(2). Let v(l) = -l**2 - 5*l + 4. Let z be v(-6). Suppose -18839*q = -18663*q + 176. Put t, z, q in decreasing order.\nAnswer: t, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 140 and 112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1854993?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**2 + 60*x - 150. Let h(q) be the second derivative of 10*q**3\/3 - 25*q**2 + q. Let i(m) = 2*c(m) - 7*h(m). What is n in i(n) = 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + -3*(5 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 + 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 1)*(-137)\/411.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 188749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 836414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5166*u - 280 + 680 = -5171*u + 5*q, -u - 4*q + 315 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 6*m**3 + 2*m - 1. Let y be r(1). Let l(i) = -i - 4 - 2 + y - i**2 + 7*i. Give l(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**2 - 6*h - 4. Calculate j(-9).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -20 and 16\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**2 - 29*m + 117. What is i(6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.4, 1\/6, 0.1517, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -16482 or -16489?\nAnswer: -16482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1963 + -1964. Sort 1\/11, 3, g, -39\/4.\nAnswer: -39\/4, g, 1\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 85 - 84.9. What is the smallest value in p, 0.04, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -98*r**2 - 2*r. Let b(m) = -3799*m + 7604*m - 3809*m + 5. Calculate n(b(h)).\nAnswer: -1568*h**2 + 3928*h - 2460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/60 and -161\/3840?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*a - 764 = -30*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**2. Let h(v) = 7*v**2 + 8*v - 6. Let a(s) = -h(s) + 6*x(s). Let t be a(-9). List the prime factors of 2\/t - 190\/(-15).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*q + 0*q - 7*q)*(6 - 2 - 2)*(254 - 77 - 94).\nAnswer: -1826*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1 + -8)*(-3 + (-6 - -2)). Let j = p - 38. Let b = 6 + 14. What is the remainder when b is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.84 + 2051698143\nAnswer: 2051698142.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 5*u = 3*p - 5, p = -5*u - 10. Suppose 36*t + 24 = 40*t. Calculate the remainder when p is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:14 PM and 7:37 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 70277, 140029, 209777, 279521, 349261?\n\"Answer: -2*s**2 + 69758*s + 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18722008 = -m + g, 2*m - 28*g + 27*g - 37444008 = 0. What is m rounded to the nearest 100000?\nAnswer: 18700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/11 - 1\/(33\/6).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.19?  (a) -0.5  (b) -2\/3  (c) 2  (d) 0.24361\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 225*c + 0 + 0 - 209*c.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 359 is divided by 77.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*d = 196*d + 688*d + 83*d + 28560 for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 71154533?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -541, -1070, -1585, -2080, -2549?\n\"Answer: c**3 + c**2 - 539*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 - -0.172395963408.\nAnswer: 1.172395963408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1 - 7 - ((9 - 3) + -186) is divided by 32?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 + -6880323?\nAnswer: -6880318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than or equal to -2\/337996201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes before 10:07 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 3*r - 9. Let a be l(6). Suppose 3*w - a = s, -s + 12 = 4*w - 4*s. Suppose -25 + w = -x. Calculate the remainder when x is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 118231271 and 19.\nAnswer: 118231290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21, 45, -17, 4.\nAnswer: -21, -17, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -17 - -13 - 6*-1. Solve a*t - 5*t + 16 = 2*m, -t - 5*m = -27 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -2*a**2. Let u(b) = -666678*b**2. Determine u(c(f)).\nAnswer: -2666712*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 129*x**3\/7 + 123*x**2\/7 - 264*x\/7 + 12\/7 = 0.\nAnswer: -2, 2\/43, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.843328 rounded to two decimal places?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**2 - 5*r - 2. Let v be w(-1). Suppose 2*h + 4 = -f - 7, -v*f - 13 = h. Sort 3, 0, f, 7.\nAnswer: f, 0, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16 + -154\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -17036423\/4 at least -4259107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 2*t. Let r(q) = -37*q - 2. Let d(x) = 94*x + 4. Let i be d(3). Let w(j) = -2626*j - 143. Let f(z) = i*r(z) - 4*w(z). Give f(a(g)).\nAnswer: -156*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.98?  (a) 0.9  (b) -2  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0\/(-6) + -1*2. What is the tens digit of (2\/(-3))\/(-2*f\/(-354))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 238 - 236. Calculate the smallest common multiple of z and 4 - 0\/(2*-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 3*i**2 + 69*i - 6. Let t(c) = 8*c**2 + 207*c - 17. Give 11*b(l) - 4*t(l).\nAnswer: l**2 - 69*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 5.930216 nanometers?\nAnswer: 0.005930216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2873 is divided by 904?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -49, -12, 47, 140, 279, 476, 743?\nAnswer: 1092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 216, -249, -2100, -6039, -12768, -22989, -37404?\n\"Answer: -117*w**3 + 9*w**2 + 327*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 51*z**3 + 13*z**2 + 9*z - 14. Let q(t) = 34*t**3 + 8*t**2 + 6*t - 9. Let p(k) = 5*l(k) - 8*q(k). Calculate p(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6\/47 - -1\/376. Let q = 0.07 - 5.07. What is the closest to 0 in 0, p, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5167*i + 8316*i + 6052*i + 4360*i to y*i + b and give y.\nAnswer: 13561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 3*u + 6. Let f(j) = -j**2 + 3*j + 18. Calculate -2*f(o) + 7*n(o).\nAnswer: 2*o**2 + 15*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**2 + r - 1. Let h(p) = -p**2 + 22*p - 38. Let a be h(20). Calculate k(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**3 - 10*k**2 + 10*k - 13. Let y be ((-49)\/14)\/7*(26 - 4). Determine q(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*q**4 + q**4 - 6*q**4 - 4*q**4 + 2*q**4 + q**4 + (3 + 4 - 6)*(q - q + 2*q**4) + q**2 - q**2 + 3*q**4 + q**4 - 3 + 3.\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2403459 divided by 17.\nAnswer: -2403459\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-27)\/(-6) - (-10229)\/(-530))\/(1\/((-10)\/(-4)))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5097963847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5 + 10. Let n = -304 + 307. Solve -n*s - a = 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 152946 divided by 5.\nAnswer: 152946\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 361451\/204 - 5314\/3. What is the common denominator of p and (-1469)\/(-304) - (-412)\/3914?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q - 25. Let c be z(19). Is 14 a factor of c + 2 - 394\/(-1 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (371185\/(-2434))\/(2 + (-27)\/6)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 480027431 to the nearest integer?\nAnswer: 21910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 498 - 391. Calculate the remainder when k is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (210\/105)\/((-6)\/(1*(-20)\/(-8))).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes after 4:30 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, -56, 0, -3\/5, -0.5.\nAnswer: -56, -3\/5, -0.5, 0, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 + (-3)\/3 + 2. Suppose u*x - 2 = x. Let d(y) = -2*y**3 - 2*y**2 - 2*y + 1. Let z(i) = -4*i**3 - 5*i**2 - 5*i + 3. Determine x*z(f) - 5*d(f).\nAnswer: 2*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -4043, 21\/2 in descending order.\nAnswer: 21\/2, 0.2, -4043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 10, -17, -43 in decreasing order.\nAnswer: 10, 4, -17, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*r + 0 + 2*r**2 + 2 + 0 to the form l*r**2 + x*r + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*d**5*n**2 + 1893140*d**5 + 5*d*n**2 + 2*d*n + 9*d - 4023*n**2 - 2*n wrt d?\nAnswer: 60*d**3*n**2 + 37862800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((-2*sqrt(210))\/sqrt(7))\/((sqrt(6) + sqrt(12)\/sqrt(2))*-3)*-1.\nAnswer: -5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14 + 14. Let i(c) be the second derivative of g*c**3 + 1\/10*c**5 + 1\/6*c**4 - 2*c + 0*c**2 + 0. What is the third derivative of i(z) wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -34 + 69. Let t = -14 + p. Suppose 0 = 2*b - 2*k - 23 - t, 0 = -5*b + 4*k + 112. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*w**2 - 11*w**2 - 12*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 5, -3\/4, 0.79, -2\/103?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -37 + 41*v**3 - 20*v**3 + 17*v**2 - 12*v**2 - 33*v**3 - 6*v**2 as h*v**2 + z*v**3 + y + o*v and give y.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tmbbym. What is prob of picking 1 t and 1 m?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 22\/6 - (-2)\/(-3). Suppose -3*m - r = -262, h*m - 3*r + 0*r - 246 = 0. Does 19 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 4*k**3 + 10*k**2 - 24*k - 2. Let r(d) = -16*d - 189. Let f be r(-12). Calculate the remainder when x(f) is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4 + -3)\/((-1)\/(-2)). Suppose -2*f - 3*x + 30 = x, 5*f - q*x = 111. Suppose -4*m + f = -39. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2250 and 1500.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*b - 6 = -30. Let g be (21\/35)\/(b\/(-5)). Let k be -3 + -2*(-2)\/4. Sort k, g, -3 in increasing order.\nAnswer: -3, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 118 and 490994991.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*j**3 + 20*j**3 - j + j.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -0.8  (b) -0.1  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 176 divided by -1761.\nAnswer: -176\/1761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 163031 + -53?\nAnswer: 162756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the third derivative of s**6\/120 - s**4\/24 + s**3\/3 + 3*s**2. Let x be o(0). Let r = x - -8. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 11 in -2, -2\/9, -3, 10\/83, 2\/55?\nAnswer: 10\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 126 - 594 = -78*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -13863.77 to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + (8 - 6 - (-1 + -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**0)**(1\/7)*d**(-4\/5)\/((d*d**0\/d*d)\/d) assuming d is positive.\nAnswer: d**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 812663.\nAnswer: 557, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -28\/2509 and -55\/166608?\nAnswer: 32155344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.01 and 0.015617691211.\nAnswer: 0.005617691211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*u**3 - u**3 - 2*u**3)*(8 + 2 - 1) - u**3 + 2*u**3 + 2*u**3 + (-u + 2 - 2)*(2*u**2 + 2*u**2 - 3*u**2).\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*v**2 + 0*v**2 + 6*v - 2*v**2 to q + h*v + s*v**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 3*p - h + 30 = 0, -2*p = -4*h - 30. What is the remainder when 105 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14905 is divided by 216.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2165, 7441, 16271, 28655, 44593, 64085?\nAnswer: 87131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 minutes after 2:38 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-339 - -345)*(240\/(-9) - -12)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -4*x**4\/3 - 28*x**3\/3 + 224*x**2\/3 - 64*x = 0.\nAnswer: -12, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1635 + -386. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16788 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f - 10 = 3*f. Suppose -f*m = m - 753. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8 + 8.1. Let x = -15 + 15.18. Let h = -0.48 + x. What is the nearest to 0 in b, h, 1\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) 0.89  (c) 154\/9  (d) -1  (e) 121  (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Do 17709079 and 17709061 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 52859370 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -27923654.\nAnswer: 1\/27923654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/2 of a decade in years?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 219 = -2*a, 2*a - 7*a - 536 = 4*g. What is the common denominator of 143\/24 and 3 + (68\/a - 2)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 5:15 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1345560070?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -313014303 (base 5) to base 2\nAnswer: -100111100111010011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10221 - -101?\nAnswer: 11022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 11) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*q + 0 + 27 = 0. Suppose -q*f = -4*f + 5. What is the smallest common multiple of f and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -4*m**2 + 7*m. Let l(q) = -16154*q**2. What is h(l(s))?\nAnswer: -1043806864*s**4 - 113078*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -472863*p + 730339*p + 506035*p.\nAnswer: 763511*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 2*u = -8. Let g = u - -5. Let p be 2\/3*3 - -2. Solve -p*y = -g - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3\/85, -0.612, -1\/5?\nAnswer: -0.612","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f - 7 + 4 = 0, 2*v + f = 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q - 13 = -v, -9*q + 6*q = 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1508598 and 586677?\nAnswer: 10560186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - 10 - 10, -3*h + 27 = 3*t. Solve 3*b = -h*k + 3*k + 14, -3*k - 18 = -3*b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.946520151 to three decimal places.\nAnswer: -0.947","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 352 + 2*w - 1056 + 348 + 345. Let j(r) = -3*r + 13. Give a(j(c)).\nAnswer: -6*c + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -66176 or -66177?\nAnswer: -66176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -137897, 4, -3 in descending order.\nAnswer: 4, -3, -137897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1398 * 1.3.\nAnswer: -1817.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0043111495 rounded to six dps?\nAnswer: 0.004311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -5, -5\/9, -4, 4, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -53 - -37. Let a be n\/10 + (-8)\/20. List the prime factors of (7\/a + 2)*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4038 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/(-6) - 42\/(-4). Suppose 3*a - h*a = -96. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -367 - g - g + 4*g + 369 + 6*g**2. Calculate i(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**3 + 32*d**2 + 32*d + 35. Let z be w(-31). Solve -o - 18 = o - z*y, -24 = o - 5*y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3265*z**2 - 13 + 18 - 5.\nAnswer: 3265*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*j - 2*j + 13*j - 3*j - 4*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*b - 784 = -31*b. What is the highest common factor of 28 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 2*l = 0, -6*l = 5*c - 8*l. Suppose -4*k - 17 = w, 5*w + 7 - 22 = c. Put 42, k, -4 in decreasing order.\nAnswer: 42, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*d - 8*d + 6 = 0, 5*r - 2*d = 96. Suppose 113*l = 124*l - 2442. Calculate the smallest common multiple of l and r.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 - -1. Let n = 10 - 69\/7. Let r = 73.6 - 74. Sort n, i, r, -3.\nAnswer: -3, r, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1096400483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11.846061ms to hours.\nAnswer: 0.0000032905725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1359)\/33 - 24\/(-132). Let x = j - -35. Is 5 a factor of x - -6 - (-2*18 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from evevvkakxkxvakyyeke. What is prob of picking 2 e and 1 x?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**2 + 6*i + 3. Suppose -5*t - 22 = 8. Let v be l(t). Find the second derivative of -5*b + 9*b + 10*b**v - 8*b wrt b.\nAnswer: 60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*a**2\/7 - 332*a\/7 - 216\/7 = 0. What is a?\nAnswer: -27, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -199, -202, -205, -208, -211, -214?\n\"Answer: -3*s - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 77 - 79 - 10*b**2 - 12*b**2 to the form j*b + d + v*b**2 and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 123448 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/1380 and 91\/11002020?\nAnswer: 253046460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 75 + 181 = 0. Let v = g + -28. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -54254.768 to the nearest one thousand.\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**3 - 5*s**2 - 6*s. Let x(q) = q**3 + 9*q**2 + 10*q - 27. Let o be x(-11). Let d = -381 - o. Let h(t) = -2*t**2 - 3*t. Give d*y(b) + 5*h(b).\nAnswer: -2*b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:09 AM and 5:23 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 59617 and 0.4.\nAnswer: 23846.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 - 11.352\nAnswer: -11.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the second derivative of -c**5\/20 - 2*c**4\/3 + c**3\/6 + 6*c**2 - 26*c - 21. Suppose 0*q - 32 = 4*q. Let t be f(q). Solve -8*g = -t*g + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + -635 + 647 + (2 - (-1 + 45))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -57 + 56. Let m(h) = 8*h + 1. What is m(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*h + 12 + 9 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -2*h - w, 14*w = 10*w - 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.161, 3, 2\/11, -2 in decreasing order.\nAnswer: 3, 2\/11, -0.161, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -9*b + 14*b - 24, 2*b = 3*s + 28. Let o be 2\/b - (-63)\/36. Solve -5*m - 4*t = -0*m - 12, o*t + 16 = 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 73 divide 4245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 393 - 1221 = -46*c for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 10*d + 27 = 4*d. Solve 0 = d*j - 3*f - 21, -j - 4*f + 4 = 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4\/2)\/(1 + -2). Which is bigger: h or -5\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4055, 8098, 12155, 16232, 20335, 24470, 28643, 32860?\nAnswer: 37127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 + -111022120210220222?\nAnswer: -111022120210220211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 65*s - 4. Let o(p) = -21*p**2 + 63*p. Give o(y(x)).\nAnswer: -88725*x**2 + 15015*x - 588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 2*q + 59. Let p(g) = -2*g - 2. Let u be p(14). Let s be a(u). Sort s, -15, -5 in decreasing order.\nAnswer: s, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 - (-4 + 30\/12). Let l be (-24)\/(-32)*22\/33. Which is the biggest value?  (a) 100  (b) j  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f**3 + 0*f + 0*f)*(2 - 5 + 2) + 4*f**3 - 41*f**3 - 7*f**3 + (2*f**2 + 4*f - 4*f)*(-6*f + 2*f + 3*f).\nAnswer: -48*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:13 PM and 3:52 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (85*x + 13*x - 16*x)*(3*x**3 + 3 - 3).\nAnswer: 246*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**2 - 19*x - 31. Calculate the remainder when o(-11) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times -56.3?\nAnswer: 225.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**2 - 9*h - 10. Let c be z(-7). Solve 0 = -3*b - 5*s + 3 - 0, -c*s - 2 = -2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2032909.\nAnswer: 2032909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/6*(4 - 16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -5, -2, -1 in decreasing order.\nAnswer: -1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2575184 and 372757884.\nAnswer: 1491031536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*o + 3*l + 108 = 0, -4*o - 4*l - 82 + 10 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -120*a**3 + 9517*a**2 - 1976*a - 386. Let i(r) = -240*r**3 + 19038*r**2 - 3954*r - 769. Let q(h) = 3*i(h) - 7*m(h). Factor q(n).\nAnswer: 5*(n - 79)*(3*n - 1)*(8*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -40532585.6 to the nearest ten thousand.\nAnswer: -40530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2139.9 + 2139.55518. Round x to three dps.\nAnswer: -0.345","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -54, -30, 28, 138, 318?\n\"Answer: 3*x**3 - x**2 + 6*x - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d. Let g(z) be the first derivative of -48*z**2 - 181. Give v(g(p)).\nAnswer: -96*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 131 is divided by 36?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (336 - -19)*(3 + -2). What is the highest common divisor of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 95\/(10070\/1056) - (-10 + 21 + -1)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -21 - -29. What are the prime factors of -32*(-4)\/x + 1?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 4 - 2*w**2)*(2*w + 4 - 4) + (-1 - 5 + 4)*(2*w + 0 + 0)*(-4344 + 166*w**2 + 4344) to z*w**2 + x*w**3 + n*w + k and give x.\nAnswer: -668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 3\/5  (b) -240773  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*w + 3*w - 3*w + (-2 + 0 + 3)*(-2*w + 2*w - 2*w) + w - 4 + 4 + 2*w + 4 - 4 - 2*w - 5*w - 13*w.\nAnswer: -21*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from ooecoeeceec?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -22, -31, -62, -127, -238, -407, -646?\n\"Answer: -2*d**3 + d**2 + 2*d - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 36 + -2a074?\nAnswer: -2a039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7 - 9 + 3 - p)*(3*p - 3*p + p) to b*p + h + v*p**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 5 times -213336.2\nAnswer: -1066681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 12*((-55)\/(-10) + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7899600?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 159354620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1517 - 1589 - 3)*(h + h - 5*h).\nAnswer: 9327*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1 - (0 - 3))\/(12\/6). Suppose 2\/5*s**4 + 0 + 0*s**3 + 0*s - 2\/5*s**h = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the first derivative of -14*r**5\/5 + 55*r**4\/4 + 4014*r - 4377. What is the derivative of h(x) wrt x?\nAnswer: -56*x**3 + 165*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 27620 + -27620.2. What is the closest to -1 in 0.2, b, -446?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 20377 - 14426. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 3*h**2\/8 - 117*h\/8 + 57\/4 = 0.\nAnswer: 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y = 4*k - 17, -5*y + 524 = -9*k + 556 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28, -2, 3, 4 in decreasing order.\nAnswer: 28, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -79 + 15 + 45 - z**3 - 12*z**2 - 2*z. Let u be h(-12). Factor 1\/4*b**4 + 1\/4*b**u - 1\/4*b**2 + 0 + 0*b - 1\/4*b**3.\nAnswer: b**2*(b - 1)*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -320*b**3*k**2 - b**3*k - 40*b**3 - 698*b**2*k + 2*b*k**2 + 46*k**2 wrt b.\nAnswer: -1920*k**2 - 6*k - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1631527513?\nAnswer: 7, 11, 79, 268211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 277780 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 + 3.6. Which is the third smallest value?  (a) n  (b) -0.7  (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 435 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in 10\/13, -6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-4)\/(-10) + 44\/4 and -6\/59.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 11) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -32*t + 8*t + 8*t**3 + 15*t + 4 + 8*t to the form m*t + f*t**2 + o + l*t**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 0.844.\nAnswer: 4.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(2448) + -2 + -4))**2 + -2*sqrt(2448) + 1 + 5*1*sqrt(2448).\nAnswer: -3564*sqrt(17) + 62101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 - -3.2. Let x = m + -0.7. Let w = 7.7 - 7.7. Sort w, x, 3 in ascending order.\nAnswer: w, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in two fifteenths of a week?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*f**5 + 152*f**4 - 320*f**3 = 0. Calculate f.\nAnswer: -40, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000186733 to seven decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes before 10:27 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13 and 6225089.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-1 + (sqrt(2299) + 6*(2*sqrt(2299) - sqrt(2299)) + -1*(-1 + sqrt(2299)))*-5)**2.\nAnswer: 3960*sqrt(19) + 2069134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -313.6 - -313. Let u = 5 - 6.4. Let h = g + u. Put -1, -3, h in descending order.\nAnswer: -1, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 5) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9818657 to the power of 1\/2, to the nearest integer?\nAnswer: 3133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 2 a when four letters picked without replacement from kvdvkrddarvka.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 148316832 divided by 171663\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 218395618 to the power of 1\/2, to the nearest integer?\nAnswer: 14778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 367677.922 * 0.1\nAnswer: 36767.7922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 50631827557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 5*v + 4. Let o(s) = -s**2. Let w(q) = -18*q**2 + 5. Let f(h) = v*w(h) - 2*o(h). What is the first derivative of f(i) wrt i?\nAnswer: -32*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 44 and 396.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 3 = 0, -5*y + 0*a + 19 = a. Let s(x) = -2*x + 1. Let o(k) = -4*k + 2. Let v be (18\/(-8))\/((-2)\/(-8)). Let r(n) = v*s(n) + y*o(n). Calculate r(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -18*((83 - 78) + (-28)\/6). Let x(p) = -p**2 - 13*p - 52. Determine x(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6809 by 5.\nAnswer: 6809\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -2*r**3 - 159*r**2 + 1303*r - 139. What is s(-87)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -6.77471*-30\nAnswer: 203.2413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -b - d, 1143 = 2*b + 5*d + 1159 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 61558.\nAnswer: 2, 7, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-2)\/(-2))\/1 + 0. Solve y = g - 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -588, -587, -586, -585, -584, -583?\nAnswer: -582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10637 = -3*u + 5*z, -u = 2*z - 2097 - 1445. Suppose 25*h = u - 69. What is the lowest common multiple of 3 and h?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.0109 - 36.0109. Let h = v - -36.00001196. Round h to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 185985221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, k: 6, j: 4}. What is prob of sequence jkk?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the second derivative of -d**4\/84 + 44*d**3\/21 - 320*d**2\/7 - 4*d + 40. Determine h so that x(h) = 0.\nAnswer: 8, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -10*h**2 - 302*h - 67. Give w(-30).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 2*w**2 + 20*w + 26. Suppose -2*n + 2*x - 38 = 0, -x + 1 = -4. Is d(n) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 2 s, and 1 o when four letters picked without replacement from xospxppsws.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 899465 and -0.1.\nAnswer: -89946.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.36 - 0.86. Let k = -0.11 - -5.11. What is the second smallest value in k, -10, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((sqrt(245)*-2)**2 + (sqrt(5) + 1 + sqrt(245))**2 - 1*(sqrt(5) - (sqrt(320)*-2)**2)).\nAnswer: 15*sqrt(5) + 2586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1320 (base 5) to base 7.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*((-1*sqrt(130)*1 - sqrt(130)) + sqrt(130) - (sqrt(130) + sqrt(130)*1*-2)))\/(-3*sqrt(810)*5*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t = k - 38, 45*k = t + 44*k + 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -16*w**3 - 13*w**2 + 9*w + 72. What is the units digit of o(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 209540611.\nAnswer: 7, 4276339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*r + 54*r = 86. Let b(g) = 876*g - 79. Is b(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16821882 divided by 764631\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 2 = 4*v. Let x be (-27498)\/(-132) + 2\/11. Let q = x - 208. Which is smaller: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:05 PM and 12:51 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -0.58, 1, -1, -34?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 64 - -5705044?\nAnswer: 5705108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3162 and 1734?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 47\/21 + -18\/7. Suppose -3*k - l - 1 = 6, 2*k + 4*l + 18 = 0. Which is greater: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-720)*(-1288)\/483.\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the second derivative of a**5\/20 + a**4\/12 + 5*a**3\/6 - 19*a**2\/2 - 168*a. Let h be n(2). Solve -h*g = -t - 3, 3*g - 3*t - 3 = -0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4438352*d*x**4 + 44*d*x**2 - 3*d*x - d + 2*x**4 + x**3 - 32*x**2 + 3*x - 8 wrt x?\nAnswer: -106520448*d*x + 48*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 18346 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 3*i**3 - 85*i**2 - 419*i + 15609. What is q(26)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add -26 and 113616428150.\nAnswer: 113616428124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*b - 9 = -13*b - r, 0 = r - 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 123911008.\nAnswer: 2, 13, 19, 61, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 13 + -13. Solve b = q + 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 + 4 = -3*k. Let m be (-172)\/6*3898278\/k. Suppose d - 12553 = -m. Round d to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.041933584 rounded to three dps?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 127773503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 357500*j**2 - 3*j + 12. Let q be m(4). What is q rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 4*i - o, 5*i - 11 = o - 3*o. Let y = i + -5. Let f be y + (-3)\/3*-2. Solve f = v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*(d*d**7)\/d)\/(d*d*d**(1\/2)))**(-3\/22)*(d**(-2\/9))**(-4\/3)*d*d\/(d*d**(-6)\/d)*d**(1\/4)*d assuming d is positive.\nAnswer: d**(475\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 86850.14 years in millennia?\nAnswer: 86.85014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -687 - 28 = -5*c. What is the highest common factor of 44 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 234469.575 rounded to the nearest 100?\nAnswer: 234500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 76\/3*k**2 + 46\/3*k**3 - 8\/3*k**4 - 440\/3*k + 400\/3 - 2\/3*k**5 = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*m - 8097 = 11213. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes after 6:38 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add 78024484 and -2012495.\nAnswer: 76011989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q - 894 = -930. Let n(v) = -12*v. Let b(p) = -84*p. Calculate q*b(w) - 44*n(w).\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1535 + 1554 + (-60 - (-3 + -1))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k - 4*f = 65, 940*k - 943*k + 4*f + 47 = 0 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b = -20, -b - 17 + 10 = 3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4843106 centimeters in millimeters?\nAnswer: 4.843106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-30)\/4*40\/12. Calculate the common denominator of 4 + (240\/t - -2) and -99\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 3, 3\/2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 0.8594166 tonnes?\nAnswer: 859416600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-495)\/(-25410))\/(3\/7))\/((-286)\/(-121))?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1574 - 759. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -355.2 times -40\nAnswer: 14208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 184*s**3 - 2*s**2 - s + 2. Is c(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22769, 23439, 24111, 24785, 25461, 26139?\nAnswer: 26819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 525 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.310565467 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggggggecgggggg. What is prob of sequence gc?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000009778597 to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*g + 41620 = -40*g + n, 0 = 4*g + n + 41620. Is -10404 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -38 - 8 - -30 - 58\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n - 15838 = 170162. Round n to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 36*s**3 + 56*s**2 + 13*s - 47. What is x(-3)?\nAnswer: -554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 232*x - 469*x + 235*x. Let q(y) be the first derivative of 2*y**2 - 3. What is q(w(m))?\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the third derivative of u**5\/30 - u**4\/12 + 56*u**2. What is x(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 2, -1, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j - 9, -49*f + 50*f + 3*j = 82456. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (25\/(-30))\/(1 + 133\/(-63)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 45.88549ng?\nAnswer: 0.00000000000004588549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - -31. Calculate the least common multiple of (-17)\/((-102)\/(-18)) + 9 and r.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66174911821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from eeeevvvveee?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.28524 - -9.7147672. Let s = v - 10. What is s rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f - t - 13 = 0, 0 = -2*f - 4*t + 190 - 170 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 2*f - 367 = 860, -4*f = -2*t + 834. Let a = t + -268. What are the prime factors of a?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 431886079.\nAnswer: 31, 13931809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*k**3 - 3545*k**2 + 28075*k - 24535.\nAnswer: 5*(k - 701)*(k - 7)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 55949 is divided by 478.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 55216 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 2*f + 12, 5*f - 47 = 5*j + 2*f. Let r = j + 6. Let b = -66 + 129\/2. What is the smallest value in r, b, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**3 - 30*m**2 + 56*m + 9. Let f be r(28). Let q(o) = -7*o**2 + 10*o - 3. Let d(g) = -6*g**2 + 10*g - 4. Let n(p) = -6*d(p) + 5*q(p). Calculate n(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 177\/217 + -12\/31. Let m = 395.5 + 125. Let g = m - 521. Put g, 1\/2, -3, j in descending order.\nAnswer: 1\/2, j, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5719985 millennia to decades.\nAnswer: 57.19985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 228 and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s + 11. Let h be l(8). Let r be -2 - h\/(3\/(-4)). Suppose -5*o - 5 = -2*v, 5*v - 9 = r*o + 14. Is o <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14\/(-4) + 1)\/((-16)\/32).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m**2 + 8920*m + 9945800 = 0. Calculate m.\nAnswer: -2230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 4) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -2*m + 2. Let d(v) = 14*v - 35*v + 6*v + 12*v + 3. Let n(a) = -a**2 + 6*a + 3. Let o be n(7). What is o*h(t) + 3*d(t)?\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 1 = m, 0 = 3*m - 7*m - 2*c + 4. Let u(t) = -4*t**3 + 1. Let l be u(m). Let p be (2 + l + 2)\/(-1). Is -3\/5 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/172)\/(-3*39\/(-312))?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-165)\/10*2826\/606177?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.6 + -8.6. Let i = -7 - x. Let w = 1 - 1. Which is the closest to w?  (a) -0.1  (b) i  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t + t = -4*c + 18, -3*c + 16 = 2*t. Solve -2*i = -c*i - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**2 - 2*m - 6. Let i(v) = -1 - 3 + 2 + 1. Let p(j) = 3*i(j) + r(j). Is p(-9) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1153?\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2\/6225 - 12589\/2075. What is the common denominator of -47\/30 and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-141696)\/(-26) + (-3)\/(-156)*8. Suppose -4*r + 3*h + 10894 = 0, -11*r - 3*h = -13*r + l. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 2 = -2*k, -2*p + 15 = 2*k - 1. What is the least common multiple of 5 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2619481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 33*h + 17. Let m(k) = 16*k + 8. Let w(q) = 6*a(q) - 13*m(q). Let l be w(-1). Suppose 5*x + l + 7 = 0. Sort 6, x, 0 in decreasing order.\nAnswer: 6, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*y + 28 = -4*y. Suppose y*b = b + 18. Suppose b*f + 4*f - 770 = 0. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + 2 = n, 4 = n + 2*z + 6 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 5*l**2 + 16*l - 7. Let y be h(-5). Suppose -18*n + y*n = 9520. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -15, 4, 1, -16, -2 in descending order.\nAnswer: 4, 1, -2, -15, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(-5) + 17\/5. Suppose 0 = -3*x + 3. Let w(o) = 4*o + 1. Let m be w(x). Put m, -1, v in descending order.\nAnswer: m, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o**2\/5 + 85846*o\/5 + 1842383929\/5 = 0. What is o?\nAnswer: -42923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 44017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**3 + 2*p**2 - 4*p + 13. Let d be h(3). Let j = 0.2 + -0.21. Let m = -0.19 + j. Put -5, d, m in decreasing order.\nAnswer: m, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1649 + -431. Suppose 2*p = r - 324. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 3*i**3 - 84*i**2 - 57*i + 24. Determine y(28).\nAnswer: -1572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-80)\/600)\/(((-140)\/30)\/(-14))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i + 10 = -m, 5*m = -180*i + 177*i - 22 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (-4 + 6 + -10 - (34 + -61))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -13*i**2. Determine f(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2\/3, 0.07, 3\/13 in descending order.\nAnswer: 2\/3, 3\/13, 0.07, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 498564 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4012128554?\nAnswer: 2, 7, 17, 41, 179, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 340302*g**3 - 150*g**2 + 80*g**2 + 70*g**2 - 103715*g**3.\nAnswer: 236587*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from ueeuuueeemuuuxe?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*z**2 + 1 - z**4 + 2*z - 3*z - 7*z**2 + 17*z**2 to the form s*z**2 + v*z + o + k*z**4 + w*z**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 41630 or 41627?\nAnswer: 41627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 62091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64 - 2 = 36*v - 370 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -560046*z - 560075*z + 1119943*z.\nAnswer: -178*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-27)\/54)\/(3\/10)*-3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 309779865.6 to the nearest ten thousand.\nAnswer: 309780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4.8 - -0.2. Let a = -156.9 - -160.9. What is the nearest to 6 in -1\/5, y, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**2 - 6*o + 1. Let n be m(5). Let j be 13 - (4\/(-2) - n). Solve 2*h + j = h - 3*v, -3*v - 15 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) -1395  (c) -4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9 - 7. Let b(u) = -53 + r*u**3 + 94 - 46. Let a(p) = 2 - 6 + 3. Determine 3*a(z) - b(z).\nAnswer: -2*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 2 p, and 1 u when four letters picked without replacement from {s: 3, k: 3, p: 5, v: 3, u: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 2*m - 3 = 0. Let c(a) = 5*a**3 + a**2 - 5*a + 4. Let f be c(1). Suppose h = -f*i + 20, -4*i + 2*h + 16 = h. Solve t = -m + i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 34*g + 2340 - 10024. Solve 0 = -g*o + 228*o + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 5*g, 9*g = a + 14*g - 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 97 - 42 = 11*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1102660747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8 + 15. Let r(f) = -f**2 + 6*f + 15. What is the least common multiple of 18 and r(o)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 - 6. Suppose 3*j = 153 - 150. What is the closest to j in -0.23, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 32163190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53 - 59*f - 167 + 68*f**2 + 49*f - 67*f**2.\nAnswer: f**2 - 10*f - 220","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19143, 153119, 516767, 1224921, 2392415, 4134083?\nAnswer: 6564759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 752093?\nAnswer: 752093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 563 = -35*l + 108. What is the third smallest value in l, -6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.4 or -390027\/13?\nAnswer: -390027\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3185, 6360, 9523, 12668, 15789, 18880?\nAnswer: 21935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the second derivative of u**6\/6 + u**5\/4 - 5*u**4 + 10*u**3\/3 + 40*u**2 - 409*u - 1. Find f, given that m(f) = 0.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = 18*v - 22 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 2\/3, 0.4, -4 in ascending order.\nAnswer: -4, 0.4, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -119\/36 + 50\/9. Is 1 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -31 - 4431?\nAnswer: -10012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13 + -13. Suppose -y - 16 = -5*y. Solve a*m = y*m + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*v**3 - 5*v**3 + 7*v**3 - 4*v**3 + 0*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**2 + 33*f. Let h(n) = -32*n**2 + 1. Give m(h(l)).\nAnswer: -1024*l**4 - 992*l**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -957*d**2\/5 + 14349*d\/5 + 18 = 0. What is d?\nAnswer: -2\/319, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 709 minutes before 6:52 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 5, u: 3, s: 9, k: 3}. What is prob of sequence kiu?\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1512*q - q**2 - 2 + 2 + 749*q + 763*q.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -31284, -31286, -31288?\nAnswer: -31290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 14*z - 10. Let i be j(1). Sort 1, i, -28, -2 in increasing order.\nAnswer: -28, -2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -46.35 + 46.45. Are l and -3.789 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 15*12\/(-270)*18\/(-4). Let s(d) = -1 - d**3 + 3*d + 4 + 1 - 2*d**2. Let n be s(-3). Solve -n*o = -j*o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/3 - (-15344)\/3. Let r(u) = 4*u**3 + 8*u + 3. Let i be r(8). Let m = j - i. What is m rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5102723km in meters?\nAnswer: 510.2723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 24 = -4*c, g = -5*c + 3*g + 44. Suppose -9*b + 156 + 375 = 0. What is the remainder when b is divided by (c\/(-6))\/(2\/(-18))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*-14.477.\nAnswer: 43.431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -131 (base 4) in base 14?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-16892)\/(-12) + 0 + 3\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -316 + 6*n**2 + 153 + 163.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -19 + 26. Solve 2*a + 3*c = y*a - 10, 0 = -a + 2*c - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 60 (base 9) to base 8.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 50463662 divided by 6?\nAnswer: 25231831\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from {a: 1, i: 4, x: 7, y: 1}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 137 - 122. Suppose 20*q - 105 = r*q. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/15, 2, -417488?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - (2 - (-1 - 3))) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n - 4 - 9. What is the remainder when -8*((-128)\/22 - 110\/605) is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8646 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**3 - 4*n**2 - 2*n + 6. Let h be t(4). Let p be 4\/(-3 + 1) - h. Let w be (-1)\/(-2) + (-46)\/76. What is the third biggest value in w, -0.4, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 5:26 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 8a497 (base 12) in base 13?\nAnswer: 658c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 1 + 3*n + 4)*(-10784 - 144*n + 10784 + (-4*n - 2*n + 5*n)*(-4 + 5 - 9)) in the form p + c*n**2 + m*n and give c.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 87\/(-18) - (28 + (-2737)\/102) - -35?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 3  (b) 2\/9  (c) 0.2  (d) 5  (e) 0.2319\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 60150773801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1231.\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 217.4409um to nanometers.\nAnswer: 217440.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 23, 10, -17, -58, -113, -182, -265?\n\"Answer: -7*u**2 + 8*u + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -212.1663 - 0.8337. What is the third smallest value in i, -1\/2, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -u - 0*i - 3*i, -4*u + 37 = -i. Solve -u*a - 59 = -27 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**2 - 3*y - 13. Let k be -15*((-4)\/(-14))\/((-5)\/7). Let b be h(k). Solve 2*p = 2*x + 2, 3*x + b = -2*x + 2*p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(-4) - (-2)\/((-4)\/(-57)). Suppose 5*f + j = 49. Factor -21\/5*x**5 - 48\/5*x**f - 33\/5*x**3 - 6\/5*x**2 + 0 + 0*x.\nAnswer: -3*x**2*(x + 1)**2*(7*x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4b92a2 (base 15) to base 16.\nAnswer: -375188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-159)*1\/(-5))\/((-54)\/(-405)*-3)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the second derivative of l**3\/3 + 3*l**2\/2 - l. Let p be v(-2). Let d = 4381 - 4380. Which is the nearest to d?  (a) 0.5  (b) p  (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5837211?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**3 + 8*r**2 + r - 10. Let g be s(8). Let p be 9 - -6*1\/g. Suppose -4*t - p = -18. Solve z = -1 + t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -60.8 and 5.\nAnswer: -55.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -376964156.4 rounded to the nearest one hundred thousand?\nAnswer: -377000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 28071952 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 320, 362, 406, 452, 500, 550?\nAnswer: 602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x + 402 - 42 = 95*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -918 + 918.1. Let t = 8 + -5. Suppose x + 0*f - 23 = 2*f, 0 = -t*x + 5*f + 74. Is x equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(1584) + sqrt(1584) + sqrt(1584)*-3*-1 - (2 + sqrt(1584) - sqrt(1584))*2) + -3)**2.\nAnswer: -1440*sqrt(11) + 39744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4839, 0.03711, -1, 2\/7, -1\/4 in descending order.\nAnswer: 2\/7, 0.03711, -1\/4, -1, -4839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 2*m. Let f(y) = 10831826*y. Calculate f(s(i)).\nAnswer: 21663652*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -7*l + 106 + 32*l - 51 - 52. Let k be f(0). Solve -z + 20 = 4*p, k*z = 5*z + p - 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 23 by 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 25.69 + -25.68999872. What is g rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30626 (base 7) to base 8.\nAnswer: 16535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*h + 48 - 120. What is the lowest common multiple of (-42)\/(-12) + (-6)\/h and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, s: 17}. Give prob of picking 2 s.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57435030.\nAnswer: 2, 3, 5, 149, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -5669+-10.1076\nAnswer: -5679.1076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 3*v + 27 = 0, -p - 4*v - 5 = -2*v. Let i = p + 3. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*w**2 + 2393055*w + 2393052.\nAnswer: 3*(w + 1)*(w + 797684)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -3212000 (base 5) to base 8\nAnswer: -151360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 13 - 31 + 3*p**2 - 385*p + 14.\nAnswer: 3*p**2 - 385*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4a09 - -5b?\nAnswer: -496a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 33 + (7 + -5 - 0) - (5 + 5 - 17)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 14620 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02031834 to 3 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -396.44 to zero dps.\nAnswer: -396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -1620447.27 to the nearest 100.\nAnswer: -1620400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*r - 29*r = -240. What is the third derivative of 26*p - r - 9*p + 81*p**6 - 17*p - 2*p**2 wrt p?\nAnswer: 9720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0, 4, -2 in increasing order.\nAnswer: -4, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 918896 and 736?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -3*x + 118. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**2 - 7*x - 10. Let a be o(-5). Sort a, 2, -23 in descending order.\nAnswer: 2, a, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -361, -3, -1, 15 in decreasing order.\nAnswer: 15, 5, -1, -3, -361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 i, and 1 m when three letters picked without replacement from iuuuiqqlqmiumuuuuul.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 12 - 12.38. Let v = 0.12 - d. Let u = 6 - 1. Which is the nearest to 1?  (a) -1\/2  (b) u  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 2*a**2 + a + 2. Let u(p) = -3*p**2 + p. Suppose -5*f + 8 = -2. Suppose -2*k + 0*k + f = 0. Let s be u(k). What is v(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*d - 17856 = 215*d. Are d and -81 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 725 + 43. What is the remainder when c is divided by 50?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 + 9. Let f be ((-6)\/4 + 2)*g. Which is greater: 2 or f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -19581270 and -19581272 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 16 and 40064.\nAnswer: 641024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1288*w - 5567 - 3403 - 2769 = -1435 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n**3 + 0*n**3 - n**3)*(n**2 + 0*n**2 + n**2 + (-3*n + 2*n - n)*(0*n - 4*n + n) - 3*n - 3*n**2 + 3*n).\nAnswer: 5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) - -2*sqrt(44))*2.\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -2*w - 3. Let y = 3 + 10. Let a(u) = u**3 - 14*u**2 + 13*u + 10. What is the remainder when a(y) is divided by h(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes after 5:44 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 4*i + 4*j + 690 = 0, -2*i = 4*j - 480. What is the highest common factor of 54 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in h**2 - 12*h**2 + 9*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -14, -3, -0.3, 2?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 1142*t**2 + 7574*t + 4355. Give f(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-1)\/a*a)**(-38)*(a*a\/a**(2\/5))\/(a*a**7) assuming a is positive.\nAnswer: a**(158\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 6 = 6. Let v(t) = 2*t + 18. Let d be v(r). Let o(y) = -d*y + 18*y - 2*y**2. Let k(a) = -11*a. Determine k(o(g)).\nAnswer: 22*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 minus -808844.405623?\nAnswer: 808844.805623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 51*y**2. Let n be z(0). Solve n - 3\/4*u**3 + 0*u**2 - 3\/8*u**4 + 0*u = 0 for u.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m = 4*z - 16, z - 177 + 173 = -4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -36*209092\nAnswer: -7527312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -h**5 + 34*h**3 + 69*h**2 wrt h.\nAnswer: -60*h**2 + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/(-8)*(-64)\/(-456). Is h greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = a - 24, -3*a + 0*c = 2*c - 59. Let g = 0 - 4. Let h = g + a. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is ecf1 + 1d?\nAnswer: ed0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 12741959 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 54*p - 9. Let d be b(3). Suppose 2*m + m = d. What is the greatest common divisor of 34 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (0\/2 + -3)*21\/(-9) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*g**(-10))\/(g\/g**(4\/11)))\/((g*g*g**(-2\/5))\/g*g\/g**(2\/69)))**(-1\/37) assuming g is positive.\nAnswer: g**(42532\/140415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -8*i + 23. List the prime factors of d(-17).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-356)\/5518)\/(2\/(-41)) + -2*(-3)\/(-6)?\nAnswer: 10\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -3*m - 25. Let n be h(-9). Suppose 200 = z - n*o + 8, -4*o = -3*z + 572. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 22*g**5 + 17*g**5 - 17*g**5 + (-7 - 2 - 10 + (-3 - 2 + 3)*(0 + 0 + 1))*(0*g**4 + 2*g**5 + 0*g**4).\nAnswer: -20*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(153) + 3 + 5*(-2 + sqrt(17)).\nAnswer: -7 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-12)\/54)\/((-2)\/18). What is the second derivative of -b*z**3 + 8*z - 16*z + 14*z**3 wrt z?\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13 + -9. Suppose 922 = x*r + n, 0 = 5*r - 2*n + 83 - 1242. Let a = r - 2545\/11. Do a and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vmvvmvvmfvvmvmm. What is prob of picking 2 v?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1619, -1598, -1545, -1448, -1295, -1074, -773?\nAnswer: -380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the third derivative of -1\/60*g**5 + 0*g + 10*g**2 + 0 - 1\/2*g**3 - 1\/6*g**4. Factor n(z).\nAnswer: -(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -425980.0047 - -426017. Let l = 37 - o. Round l to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(99)\/(sqrt(66)\/sqrt(6)))\/(-2*sqrt(27)))**2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -498.31 + -10.69. Let y = n - -504. What is the second smallest value in y, 6\/11, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 2*r. Let k be u(0). Let c be 38\/14 - (k - (-4)\/(-14)). Suppose c*i = 4*i. What is i rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 47*q**2 + 2243*q + 9. Give l(-49).\nAnswer: 2949","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 120 + -108. Solve -5*i + i + x = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3637035 divided by -435\nAnswer: 8361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the third derivative of 0*c - 59\/120*c**6 - 3\/35*c**7 - 2 + 55*c**2 + 5\/2*c**4 - 1\/336*c**8 - 100\/3*c**3 + 109\/30*c**5. Solve o(i) = 0 for i.\nAnswer: -10, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1967 at least as big as -1116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w - 1. Let k(x) = 2*x**2 + 6. What is 6*h(d) + k(d)?\nAnswer: 2*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the second derivative of k + 0 + 1\/12*k**4 + 0*k**3 + 0*k**2. Factor p(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**2 + 127*w + 38. Let g be p(38). Suppose 0 = n + 3*n - g. Does 57 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 1 e when three letters picked without replacement from {e: 3, i: 3, b: 1, f: 1, c: 2}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 185 = -k + 4*b, 778 = -5*k - 2*b - 169. Let f = -195 - k. Let r(d) = -d**2. Give r(f).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 4, -2, -1, 0, -19, -1170.\nAnswer: -1170, -19, -2, -1, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-14 - (-1066320)\/32) + (-3)\/(-6). Round k to the nearest one hundred.\nAnswer: 33300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*b = 11 + 9. Does 12 divide ((-52)\/13)\/(b\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 25*w + 5*w - 180 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the first derivative of -6 + 0*q + 1\/2*q**2 + 1\/4*q**4 + 2\/3*q**3. Calculate z(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 57 or 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -809.9 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 786 and 4454?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5930411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(75) + sqrt(75) + -1)**2.\nAnswer: 20*sqrt(3) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(72) - -2*sqrt(72)) + sqrt(72))\/sqrt(3))\/((sqrt(64)*-2)\/sqrt(8)*2).\nAnswer: -13*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14678219, -14678223, -14678227?\nAnswer: -14678231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 21663 - 21662.990771. Round q to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 11331, 22665, 33989, 45303, 56607, 67901?\n\"Answer: -5*l**2 + 11349*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.7 - -8.7. Let m be ((0\/(-1))\/2)\/(-9 + -7 + 19). Which is the second smallest value?  (a) s  (b) -0.6  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1239779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -111, 5, -30 in descending order.\nAnswer: 5, -30, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2901697 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1111000110011 + 11111?\nAnswer: 1111001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 51 + -46. Suppose 2*a - 8 = -0. Solve a*j**3 - 2*j**2 + 13 - v - 4*j - 4*j**2 - 2*j**2 = 0 for j.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1982, 3965, 5948, 7931?\nAnswer: 9914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 2*w**3 - 3*w**2 + w + 1. Calculate the remainder when n(3) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12048617.\nAnswer: 7, 127, 13553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**3 - g**2 - 16*g - 19. Let v be u(5). Solve -y + i + 3 = -6, y + i = -v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**3 - 5*r**2 + 5*r + 6. Let n be o(-6). Let i = n - 10. Is i not equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -57*h + 6059. What is the remainder when 8767 is divided by n(106)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**2\/3 - 376*t - 4528\/3.\nAnswer: (t - 1132)*(t + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 126636750 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 362056754?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -74, 4, 0 in descending order.\nAnswer: 4, 0, -4, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-95)\/2375*(-20)\/1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*o + 880 - 466 = 522 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 631*a - 9. Let v(m) = -316*m + 4. What is -7*v(r) - 3*y(r)?\nAnswer: 319*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 365875920 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1505, -1466, -1343, -1136?\n\"Answer: 42*s**2 - 87*s - 1460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -790 (base 13) to base 15\nAnswer: -5ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/(-2)*(-40)\/(-12). Let z = r - -8. Let w = 3 - 5. Put w, 0, z in increasing order.\nAnswer: w, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -487649293*a**2*z**2 - 3*a**2*z - 2*a**2 + 427*a - 45*z - 66 wrt z.\nAnswer: -975298586*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 660944 is divided by 163?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 70 - 93. Let n = f + 32. Let b(p) = -p**2 + 10*p - 7. Let s be b(n). Solve 0*k = -k - s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2796 divided by 7053.\nAnswer: 932\/2351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.50204287 plus -12?\nAnswer: -13.50204287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -27, 4\/9, -0.3, -0.5, -2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 38\/13409 and 7\/94622.\nAnswer: 5014966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 261478847, 261478846, 261478837, 261478814, 261478771, 261478702?\nAnswer: 261478601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -116055 divided by -5\nAnswer: 23211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - 7*a. Factor a*f**3 + 2*f**3 - 3*f**3 - 3*f**2 + 4*f + 4*f**2 + 0*f**3 - 4.\nAnswer: -(f - 2)*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -10393, -41546, -93461, -166138, -259577?\n\"Answer: -10381*v**2 - 10*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 41 and 39435481?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((21111\/(-372))\/227)\/(-2*(-3)\/888).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 5*w**2 + 3*w + 7. Let s(k) = -2*k**2 - k - 3. Let b(d) = 3*s(d) + y(d). Let z(m) = -8*m. Give z(b(u)).\nAnswer: 8*u**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -286, -294, -304, -316, -330?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 140*m**5 - 395285*m**4 - 607290*m**3 - 240115*m**2 - 28250*m = 0. What is m?\nAnswer: -1, -2\/7, -1\/4, 0, 2825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -19*o*s**4 + o*s**3 + 2*o*s**2 - 2*o - 527*s - 2 wrt s.\nAnswer: -228*o*s**2 + 6*o*s + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 104 and 416.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 105*o = 449 - 974 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*i**3*q**3 - 3*i**3 + 46*i*q**3 + 5*i*q + 3*q wrt q?\nAnswer: -12*i**3*q + 276*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 2  (b) 190\/49  (c) 0.3  (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -282, 285, 1822, 4815, 9750?\n\"Answer: 81*f**3 - f**2 + 3*f - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -9.7 and -9341147?\nAnswer: 9341137.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 27830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3785271 divided by 2737.\nAnswer: 1383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - -44194.\nAnswer: 44192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-12)\/(-108) - 483\/(-27). Let z(t) = -24*t**2 + 3*t + 9. Let c(x) = -x**2. Suppose -p + 4*p = -3. Let r(n) = a*c(n) + p*z(n). Factor r(o).\nAnswer: 3*(o + 1)*(2*o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mr when two letters picked without replacement from {k: 3, x: 8, r: 2, m: 4, f: 2}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -13*i**2 + 2*i - 1. Let v = 915 - 914. Give s(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -24 + 36. Let b = t - -11. Let k = b - 22.984. What is k rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 531 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in b + 7*b - 30*b - b + 18*b + 11*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**2 - 9*z + 4. Let h be k(9). Suppose 0*f = h*f - 112. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -4*i**2 - i - 10. Let c(s) = 13*s**2 + 3*s + 29. Calculate -17*a(l) - 6*c(l).\nAnswer: -10*l**2 - l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 40625432?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:44 AM and 5:56 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 94*p**2 + 98*p**2 - 34*p**2.\nAnswer: 158*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 27*x. Let n(g) be the second derivative of g**4\/6 + 35*g. Calculate j(n(f)).\nAnswer: 54*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -x + p, -4*x - 3*p + 15 = -10. Factor 5*t**2 - t**3 + 3*t**5 - 2*t**5 - 6*t**2 - 4*t**x + 5*t**4.\nAnswer: t**2*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4 and -0.2556045.\nAnswer: 3.7443955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the second derivative of -3*p**5\/4 - 295*p**4\/6 - 185*p**3\/6 + 195*p**2 - 381*p - 2. Determine b so that q(b) = 0.\nAnswer: -39, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7280 = -4*r - 1092. Suppose 0 = 4*s - 5*k - 1207 - 874, 0 = -3*s + k + r. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -198*k - 122*k + 1 - 1 + 374*k.\nAnswer: 54*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3650 + 10598. Calculate the highest common divisor of x and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 891, 6914, 23385, 55566, 108719, 188106, 298989?\nAnswer: 446630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-2\/5)\/(f\/(f*f**(-6)))*f**5*f**2)\/((f\/f**(1\/20))\/f**9)**(2\/15) assuming f is positive.\nAnswer: f**(251\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 209205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is eight fifteenths of a day in minutes?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -6001, -11996, -17991, -23986?\n\"Answer: -5995*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -11611 (base 11) to base 2\nAnswer: -100000101000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 63 and 27279.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 47018 - 46840.1016. Let j = 0.0884 - q. Let b = -177 - j. What is b rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d + 7 = 5*h, -5*h - 2*d = 2*d - 23 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 691\/7 - 99. Let v = 0.02 + -3.02. Let h = -12.3 + 12.28. What is the third biggest value in h, w, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 50, 49, 48, 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -7 - -4 - (-15 - 2). Suppose 2*p + 4*s - 8*s = -y, -4*p = s - 17. Suppose 2*z - 72 = -3*g, -p*g + 20 = 4*z - 118. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b + a - 3 + 2, -4*b = -a - 5. Suppose 2*y - 16 = -5*d, -3*d + 6 = 2*y - b. Sort 3, -1, d.\nAnswer: -1, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + d = 3*d - 4, -d + 2 = 0. Let q be (5\/10)\/(1 + 1\/(-2)). Suppose 4*v + 3*k = 29, -q = v - 5*k + 9. Sort x, v, 3 in decreasing order.\nAnswer: v, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 2*f**5\/5 + 76*f**4\/5 + 378*f**3\/5 - 224*f**2\/5 - 200*f + 768\/5 = 0.\nAnswer: -32, -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1766 divided by 4428\nAnswer: -883\/2214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -136*n**2 - n + 1. Let o be l(-1). List the prime factors of (20301\/o)\/((-3)\/22).\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65 = 2*y - 47. What is the highest common factor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*k*v*w*x**2 + 50002*k*w**3*x + 20*v*w**3*x**2 + 4898*v*x + 2*w**3*x**2 with respect to k.\nAnswer: -2*v*w*x**2 + 50002*w**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 220496317.\nAnswer: 47, 179, 26209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8204*z + 10432*z - 960696 = 5293*z for z.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4\/3*z**2 + 4*z + 40\/3.\nAnswer: -4*(z - 5)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*j + 55*j - 1378 = 0. Calculate the highest common factor of j and 1417.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -215.66181 minus 4.887?\nAnswer: -220.54881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(364\/(-26)))\/(6\/(-49))?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 97 - 97 + 4*o. Let a(g) = -5*g. Determine a(w(v)).\nAnswer: -20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13866?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put together 165809 and -203.\nAnswer: 165606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence djqd when four letters picked without replacement from qdddjdddddqjd.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -135*z**4 - 3495*z**3 - 13365*z**2 + 16390*z + 55. Let k(n) = 5*n**4 + 129*n**3 + 495*n**2 - 607*n - 2. Let o(r) = 55*k(r) + 2*s(r). Factor o(w).\nAnswer: 5*w*(w - 1)*(w + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 7 + -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 152 - 150. Let x(p) be the first derivative of 1\/2*p**4 + 0*p**y - p + 1 + 0*p**3. What is the derivative of x(w) wrt w?\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 803.6 - 571.7. Let k = 232 - m. What is the third smallest value in k, 0, -20?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.048 + -84.952. Let w = -14421481907 - -14421481822.00000051. Let d = w - i. What is d rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (-28 - (4 + -9))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1672 divided by -209\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**3 + 384*x**2 + 7892*x - 62040.\nAnswer: 4*(x - 6)*(x + 47)*(x + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11707?\nAnswer: 23, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9841*b + 27414*b - 3969*b.\nAnswer: 33286*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-9775546)\/(-14) - 2) + 54\/(-189). Suppose 4*n + 3*b = 614952 + m, n = -3*b + 328303. Round n to the nearest 10000.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3 + 248\/88)*132\/(-18). Let m(h) be the second derivative of 3*h**2 + h - c*h**3 - 1\/12*h**4 + 0. What is m(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12 - -14. Suppose -l - 7*x - 97001 = -2*x, i*x = -5*l - 484982. Let p = 47996 + l. Round p to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -74, -446, -1462, -3446, -6722, -11614, -18446, -27542?\n\"Answer: -54*a**3 + 2*a**2 - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g + 4*f - 8, 0 = -2*g - g + 2*f + 6. Suppose -g*i + 1 - 19 = 0. Let z = i + 5. Which is greater: z or -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**3 + 5*q**2 + q - 11. Let i be o(-4). Let t be (i - 0)*3\/9. Factor -t*l - 2\/3*l**2 + 1.\nAnswer: -(l - 1)*(2*l + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -901 and 0.26.\nAnswer: -234.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6423*s**3 + 3790.\nAnswer: 19269*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b + 6. Let w be r(4). Suppose 3*h = w*h + 14. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + 3*d - 2*q + 519 = 0, 0 = 2*d + q - 346. Suppose -175*m = -d*m - 3788. What are the prime factors of m?\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5 and -0.67?\nAnswer: 3.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1218 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: Solve 182*a + 4*w - 13 = 179*a, 3*a + 7 = w for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1393259 is divided by 47.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iz when two letters picked without replacement from {h: 1, z: 1, g: 3, l: 1, i: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -116 + 146. Let v = j - 23. Calculate the remainder when 13 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y = 25, 7*q - q - 4*y = -128 + 54 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 143202 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -69*d - 270. Let h be c(9). Let q = h - -905. Solve 5*p = -2*f + q - 3, p - 1 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13543*j**2 + 51*j + 58*j - 21911*j**2 - 109*j to the form l + i*j + w*j**2 and give w.\nAnswer: -35454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -5*p**2 - 2*p - 1. Let t(g) = -4*g**2 - g - 1. What is 6*t(y) - 5*x(y)?\nAnswer: y**2 + 4*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 211*p + 65165. What is the units digit of l(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-47)\/1*((2 - -2) + -3). Let c = j + 47. Suppose c = 3*u, -5*p + 16 = -u + 1. Is 4 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18565 is divided by 431?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-1\/3)\/(q*q**(-4)))\/(q*q**(3\/5)*q*q*q**(-6)) assuming q is positive.\nAnswer: q**(76\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 3*b - 3. Suppose -5*k = 5*o - 40, -18 = -2*o - 5*k - 2. Let r be v(o). Is (-12)\/42 - (-3807)\/r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.32109 * 252\nAnswer: 80.91468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -14 + 18. Let k(f) = -f**2 + 6*f - 8. Let q be k(t). Let 7\/3*j**4 + 4*j**3 + j**2 + q - 2\/3*j = 0. What is j?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 415662\/(-4)*(-1)\/18. Let k = 5764 - p. Let o = -563\/3700 + 2\/925. Calculate the common denominator of k and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -517*c**2 - 12*c - 4. Let b(r) = -36708*r**2 - 855*r - 285. Calculate 4*b(g) - 285*p(g).\nAnswer: 513*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = 2*b - 0*b + 6, r = 3*b - 19. Solve -3*a - 10 = f, 0 = -f + 6*f + b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1522 + 0?\nAnswer: -1522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:49 AM and 8:44 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 = 3*z - 12. Suppose 0 = 2*x - 2*i + 4*i + 6, 0 = -5*x - 2*i - 24. Let n = x + z. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 93624905.\nAnswer: 5, 11, 29, 58699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -x + 7, -3*w + x + 11 = -0*w. Sort 11, w, -3, 4 in decreasing order.\nAnswer: 11, 4, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 111022 + -11?\nAnswer: 111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve z**5\/3 + 304*z**4\/3 + 1961*z**3 - 90544*z**2\/3 - 5884*z\/3 + 30080 = 0 for z.\nAnswer: -282, -32, -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -13784, -52, -6 in increasing order.\nAnswer: -13784, -52, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 1 l when three letters picked without replacement from {m: 3, l: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7266121525.\nAnswer: 5, 13, 67, 333691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -21368 or -21369?\nAnswer: -21369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -318 - 93920?\nAnswer: -94038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -22*g + 4*g - 90, 3*g + 16 = -y - 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a + 8 = -4*m, -4*m - 11 = -a + 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**(-4\/5)*i\/(i**(1\/15)\/i))\/((i*i\/i**2*i)\/i)**(-12\/7))**(2\/23))**(-36) assuming i is positive.\nAnswer: i**(-408\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*n + 27*n - 20*n in the form h*n + k and give h.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 3*t + 4. Let d be x(-1). Let h be (-2)\/9 - (-32)\/(-18). Sort -4, d, h in ascending order.\nAnswer: -4, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/(-70)*-7*3\/6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -59.57 rounded to the nearest integer?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 4*b = -1 - 3, 3*v - 5*b - 63 = 0. Suppose o + 40 = 2*c - v, -89 = -3*c + 4*o. What is the lowest common multiple of 6 and c?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, -1.0938, 2\/9, 2.1, 0.3, -1, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.7794941457 and -0.7.\nAnswer: 0.0794941457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/7*(-4494 - -5215)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1030911*r**3*t - 95*r**2*t + 1113*r**2 wrt r.\nAnswer: -6185466*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -56 - ((23 - 1) + 32 + -37).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 267 and 44?\nAnswer: 11748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 1336 + 1028 = 0. Let s = -1121 + c. What is the common denominator of 137\/12 and s\/15*(-2)\/8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 18, 0 in decreasing order.\nAnswer: 18, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:30 PM and 11:58 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4.97 + -5. Let u = -0.403 + 0.073. Let b = h - u. What is the second smallest value in 4, b, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*o + 451*o + 2096 + 1392 = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**2\/3 - 497404*n + 92779027206.\nAnswer: 2*(n - 373053)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4744, -19110, -43052, -76570, -119664, -172334?\nAnswer: -234580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-15)\/(-10) - (-76)\/(-48))\/(161\/1449)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100101 - 101010010?\nAnswer: -101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (12 + 0)\/3 - -1. Suppose h = 2*h - 82. Let c be 2\/6 + h\/6. Solve -4*l - l + 10 = v*m, -3*l = -m + c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (17 - (20 - 9))*10\/12. Let d be u\/2*(-116)\/(-290). Which is the third smallest value?  (a) -1\/5  (b) d  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2162 and 5560006?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1061472*u**3 + 4*u**2 - u - 9642 wrt u.\nAnswer: 6368832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2016 divided by -8?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 78 + -44. Suppose -4*c + 6*w = 3*w - 69, -2*w = -2*c + r. Is c a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -16685 - -150164\/9. Sort -3\/8, 0.3, -5, q in decreasing order.\nAnswer: 0.3, q, -3\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.784 + -0.116. Let c = -0.2 + -0.6. Let q = k - c. What is the smallest value in -1, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v - 3*v - 7 + 6*v.\nAnswer: 2*v - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the second derivative of -p**4\/16 - 411*p**3 - 1013526*p**2 + 3707*p. Suppose r(g) = 0. Calculate g.\nAnswer: -1644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**3 - s + 12. Let f be d(0). Solve f*u = 7*u + 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(114) + sqrt(114) + (sqrt(114) - (sqrt(114)*-1 + sqrt(114))))\/sqrt(6)*-2.\nAnswer: -30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 31 = 7*k - 2*k, 2*k = a + 4. Let v(r) = r**2 - 15*r + a*r + 1 + 19*r. Is 9 a factor of v(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 631 - 10*g**2 - 631.\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 15 = 110. Let c = 51\/2 + b. Let z be (2 - 0) + -1 - 1. Which is bigger: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 54 by -18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -7 - (-10 - -4)*2\/3. Let z(k) = -k**3 - 4*k**2 - 3*k + 1. What is z(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes after 12:16 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 36436 + -0.153632.\nAnswer: 36435.846368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -30*v - 5. Let l be h(-2). Let d = 77 - l. Let c = d + -17. Solve -2*a + 28 = -5*p - c*a, -5*p = -2*a + 23 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -236, -234, -230, -224?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 20962 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 240*i**4 - 26*i**3 - 4884*i**2 + 16*i**3 - 1562*i**2 + 7*i**3 wrt i?\nAnswer: 5760*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 101 a factor of (-1452836)\/(-88) + (-5)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 81752800214519 - -0.4.\nAnswer: 81752800214519.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 + 108 - 2) + -2. Suppose 0 = -2*n - 0*n + 3*l + 76, -3*n = l - p. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 88 = 4*z, -2*x + x = 5*z + 8. Let t(o) = 4*o - 56. Calculate the remainder when 81 is divided by t(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-5)\/(-6)*-8*15\/(-20). Which is the second biggest value?  (a) -0.3  (b) 2  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the second derivative of -o**5\/30 + o**4\/18 - 4*o. Factor f(a).\nAnswer: -2*a**2*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes before 6:35 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-3))**45)**44 assuming j is positive.\nAnswer: j**(-5940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(1\/24)*v*v**(2\/27)*(v*v\/(v*((v**(-1\/6)\/v)\/v)\/v)*v)**(1\/6) assuming v is positive.\nAnswer: v**(427\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(5\/3))\/(k\/(k*k*k*k**(-1\/2))*k) assuming k is positive.\nAnswer: k**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 112 and 2256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 43 = -3*d, 0 = -3*i - d + 17 + 8. Let g = 12 + -5. Suppose g*o = i*o - 6. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -3*z**2 + 269*z - 3657. Give p(73).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73*x + 55 = -310. Let m(v) = -20517*v**2 + 20508*v**2 - x*v + 2*v + 2*v + 1. Let i(o) = o - 4. Let k be i(5). Determine m(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3 + ((-1)\/(-1) - 1)\/1. Suppose -8*f - 80 = -v*f. Let a = 370\/23 + f. Is a less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0\/((-3)\/(-2*(-15)\/20))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 - 3. Let m be (-5)\/j*(0 - -2). Let q(g) = -13 + 36 - 11 - g - 14. Calculate q(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1390917 is divided by 347728?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**2\/4 + 82881*u\/4 - 41439\/2.\nAnswer: -3*(u - 27626)*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (2 - 60\/50)*(-27870)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b - 2919 - 1609. Let a = 36289\/16 + b. What is the common denominator of -79\/8 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, n: 2, g: 2}. What is prob of sequence ntg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**3 + 3*r**2 - 3*r + 3. Let z(b) = -3 + 4*b - 31 + 2*b**3 - 4 + 44 - 8 - 4*b**2. What is -4*x(i) - 3*z(i)?\nAnswer: -2*i**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*f**3 + 2*f**2 + 0*f**4 - 5*f**2 - 3*f**4.\nAnswer: -3*f**2*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -20.95 and 0.307.\nAnswer: -20.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -9b + -729626?\nAnswer: -729705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**2 + 3*s + 4. Let t be o(4). Solve 0 = -t*d - 2*d + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.458 - -2.458. Put -2\/3, -2, -2.9, w in decreasing order.\nAnswer: w, -2\/3, -2, -2.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 671021*t**3 - 1107698 wrt t?\nAnswer: 2013063*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.1110359602 and -4.\nAnswer: -4.1110359602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -309773 or -309775?\nAnswer: -309775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 24, 41, 58, 75, 92, 109?\n\"Answer: 17*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*s + 27*s + 8*s + 6*s to d*s + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 - 5*p**2 - 7*p + 3. Let f be r(-2). Solve 20 = -f*s - 5*w, -3*w + 5*w = -5*s - 23 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 1 - 830*x**3 + 1327*x**3 - 1 to the form t*x**2 + d + i*x + p*x**3 and give p.\nAnswer: 497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1b70 - -3?\nAnswer: -1b6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-5 - -14) + 5368\/(-600). Which is the closest to -0.2?  (a) -2\/15  (b) t  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -5*c - 4*f + 23, 0 = 5*f - 15. Find the third derivative of -41*v**c + 201317 - 201317 + 218*v**2 wrt v.\nAnswer: -984*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 2  (b) -10  (c) -0.0524  (d) 5  (e) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 4 - 2*s + s - 2. Let y be w(5). Let p = -97 - -92. Put y, p, 2 in ascending order.\nAnswer: p, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00003412297 rounded to seven decimal places?\nAnswer: -0.0000341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 2 - 19*h - 19*h + h - 4 + 35*h. Let j = 0 + 3. Suppose -y = j*y - 8. Determine f(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -540 + 386. Let b = f - -147.52. Round b to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22780 + -742102966.\nAnswer: -742080186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -32 + 31 - 5*t - t**3 + 2*t**3 to d + i*t + l*t**3 + z*t**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-4\/11)*r*r**(3\/5)\/r)**37 assuming r is positive.\nAnswer: r**(481\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**2\/13 + 182599090*y\/13 - 182599088\/13.\nAnswer: -2*(y - 91299544)*(y - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-25)\/10)\/(2\/(-44)). Calculate the highest common factor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9198 and 144?\nAnswer: 73584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 15.332516 - -0.0458.\nAnswer: 15.378316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**3 + 2*v**2 - 2*v - 2. Let l be z(-2). Suppose 4*y = -3*u - 251, -4*y + 23 + 151 = -l*u. Let s = u + 134. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 807 is divided by 183.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 141 and 329?\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 5*c + 7 = 3*l, -2 = -c. Let f be (12\/324 - -1)\/((-4)\/6). Do f and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*o = -3*b + 47*o - 23, 2*o = 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*s + 15*s = -18*s. Is s at most -2\/257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 3 - 13 = 0. Suppose k + s*k - 30 = 0. Solve -4*o = -10 - k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**2 - 8*f + 24. Let u be n(-10). Solve -u*r + 2*r - 6 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ywy when three letters picked without replacement from htyiihhiiyhwihtsih.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10 and 6198664470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 155*(-5)\/(-100) + (2 - 9). Let a = 1\/6 + 0. Let l = 0 + 0. What is the nearest to l in a, 0.3, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -9, 117, 2, 1, -3, 12 in descending order.\nAnswer: 117, 12, 5, 2, 1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Total of 102.9 and 0.01.\nAnswer: 102.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o\/(o*o**(-10)*o))**(-9) assuming o is positive.\nAnswer: o**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -20.9 - -32.2. Let k = -10.3 + b. What is the closest to k in -5, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 231296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -3489*c**2 - c - 12015. Let f(s) = -217*s**2 - 1. Let x(d) = -3*f(d) + j(d). Differentiate x(z) with respect to z.\nAnswer: -5676*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -81.7 + 85.7. Let q be (-1*2)\/((-1)\/(-2)). Which is the nearest to p?  (a) 1\/5  (b) q  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1197 - 15094 = -11*j. What are the prime factors of j?\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g = -3*g - 51. Let v be (-6)\/15 + (348\/20 - 0). Calculate the greatest common factor of g and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-965)\/193 + 8\/1. Factor -4\/7*r - 2\/7*r**4 + 0 + 4\/7*r**q + 2\/7*r**2.\nAnswer: -2*r*(r - 2)*(r - 1)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 6*y**2 + 7*y. Suppose p - 9 = -4*n, -n = 3*p + 2*n - 27. Let u(g) = -3*g**2 - 3*g. Determine p*u(o) + 4*k(o).\nAnswer: -3*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 51 - 40. Solve k = -5*h - 3*p + 1, -6 = 3*h + 4*p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 10874088 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 104*j**2. Let o(r) be the second derivative of r**4\/4 - 11*r. Determine b(o(l)).\nAnswer: 936*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -78 + 109. Let z = -34 + i. Let l = -464 + 463.99. Which is the biggest value?  (a) z  (b) 1  (c) l  (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -43*g - 31. Is h(-12) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u**3 - u**2 - u. Let o(g) = -9*g**3 - g**2 - 2*g. Determine 2*k(h) - o(h).\nAnswer: 7*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1666, -2240, -2808, -3364, -3902, -4416?\n\"Answer: z**3 - 3*z**2 - 572*z - 1092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-7*(-24)\/(-84))\/(-6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4173368923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + 14 + -12 + -22.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*i = -128 - 56 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -3*g + 2. Let l be (g + 4)*6\/(-4). Let t(n) = 5*n**2 + 3*n + 2. Is t(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 5 + 4)*(q + q - q)*(0 + 0 - 1).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1369506009 to the power of 1\/2, to the nearest integer?\nAnswer: 37007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 34\/(-2)*(3 - 8). Suppose -4*m + w + 39 = 0. List the prime factors of m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-5)*25\/(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1038282 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 53\/5 of a minute in seconds?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 58*i - 5. Let o(q) = -752*q + 64. Calculate -64*g(r) - 5*o(r).\nAnswer: 48*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:03 AM and 3:40 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -5*y**3 - 279*y**2 + 71*y - 466. Give s(-56).\nAnswer: -1306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -48 - -50. Which is bigger: k or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-18)*(2106\/(-52) - -41).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11 - 11. Let p = g + 0.5. Which is the nearest to -1?  (a) p  (b) -1\/8  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -313 + 340 - (6 + -5).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 - (1 + -2)) + 4. Suppose 2*g - s = 26, 3*g + 65 = 6*g + m*s. Calculate the greatest common divisor of g and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b*b\/(b*b**(7\/6))*b)\/(b\/(((b*b*b*b\/(b*b**(2\/73))*b*b)\/b)\/b))*(b*b\/(b\/(b**(-2\/13)\/b))*b)**(-12) assuming b is positive.\nAnswer: b**(-36145\/5694)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3 - (5 + -2))\/(-1) + -4. What is the tens digit of 0 + 0 - (2 - (9 - p))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 18 = x - 0*x, x = 4*y + 15. Suppose -8*f + x*f = 2*b - 10, -3*b - 3 = 3*f. Find c such that -c**2 + c**f - 6*c + 6*c = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -3*o + 6*n + 17, -33 = -5*o - 5*n + 71 + 26 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (5 + 3 - 737\/55)*(2 - 7). Solve -3*o - 24 = -3*h, 0 = 4*h - 22*o + g*o - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes after 11:21 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 345437*-3\nAnswer: -1036311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1182 and 90?\nAnswer: 17730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1453947619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 49*2*((-2)\/16)\/(((-561)\/(-17))\/132).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1577 + -1576.46. What is the nearest to 0 in 4, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -2*s - 5*s + 4*s**2 + 7*s. Let h(l) = 11*l**2 - 7. Let g(t) = -6*t**2 + 4. Let z(c) = 7*g(c) + 4*h(c). Calculate a(z(j)).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 84\/8 + 3\/2. Let r = -7 + c. Suppose -r*k + 5*q - 15 = -55, 4*k = -4*q - 8. Which is smaller: k or 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 374 and 3706.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1951, 7801, 17551, 31201?\nAnswer: 48751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5347*j = -5206*j - 6768 for j.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**3 - 12*t**2 - 15*t - 16. Let o = -13 + 2. What are the prime factors of a(o)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -688 + 820 = 11*q. Solve -6*o + q*o = -18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-10)*(-1)\/(-24)*30?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + 7. Let g(u) = -2*u - 1 + 6*u**2 - u**3 + 4*u - 3*u**2. List the prime factors of g(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 2*b + 2656 + 0*b - 2654. Let q be v(14). Let c be (-360)\/q*(-4)\/90. Which is smaller: -0.1 or c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4.625*1.\nAnswer: -4.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4 - ((-1 - 4) + 9). Suppose 7*r + 184 - 471 = x. What is the highest common divisor of r and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**3 + 10*s**2 + 11*s. Let k be x(-9). Let m be (k\/4)\/(21\/(-14)). Solve m*z - 3*i = 0, 0 = -2*z - 0*z + i + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 2*k**2 - 572*k + 34699. Calculate i(85).\nAnswer: 529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 512 (base 7) to base 13\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 1436\/3*r**2 + 8\/3*r**4 - 160*r - 316*r**3 = 0. What is r?\nAnswer: -1, -1\/2, 0, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 308 is divided by 78.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 113 + -112.8. Which is the nearest to m?  (a) 6\/11  (b) -2  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2377 > 2378?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-9*x - 12*x + 22*x)*(2 - 2 - 2) + 3*x - 4*x + 0*x)*(-3*x + 3*x + x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -234959135*d**3*y**2 - d**2*y**2 + 3*d**2 + 6*d*y - 2*y**2 + 632229*y wrt d?\nAnswer: -1409754810*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/6 - 55319\/(-1551)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 245979 is divided by 512?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**2. Let l(v) = 371*v - 8. Give l(k(h)).\nAnswer: 371*h**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1629.93 + -1630. Which is the biggest value?  (a) -1  (b) 18  (c) 5  (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 825 - -23?\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**3 - 18*u**2 + 22*u + 60. Let q be w(-19). Suppose r + 0*a + q*a - 158 = 0, -r = -a - 174. What are the prime factors of r?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 67, 138, 209?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -1, 5, 6, 153 in decreasing order.\nAnswer: 153, 9, 6, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fkkvrjzr. What is prob of sequence jkzf?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7057 - -7057.0014366. Round q to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**2 + a - 23. What are the prime factors of b(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -115 by -4.\nAnswer: 115\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -638, -1272, -1906?\n\"Answer: -634*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5289 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -30138879 by -2.\nAnswer: 30138879\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 2 f when four letters picked without replacement from fffldddl.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pfytg. What is prob of picking 1 f and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -333\/3659 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in -22, 0.3, 1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = -4*y - 3*o, -4*y - 12*o = -13*o - 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -0*s + 14. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 565 = -7*s, 31*j - 20 = 35*j. Calculate the greatest common factor of s and 805.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -6*y + y. Suppose 5*p = -5*a + y, 2*p = 2 - 4. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:01 AM and 12:57 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*o + 10*o + 89. Let m be o + -1 - 0*1\/(-2). Calculate the highest common factor of 11 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 57  (b) 18\/7  (c) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 209 is divided by 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 423*g*z + 12*z + 1 wrt g?\nAnswer: 423*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11\/(-35) + 80\/(-280)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/10 + 15 + 238200\/(-17500).\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 10 + 1)*(-1 + 1 + 1)*(-11 + 0 - 4)*((-n + 3*n - 4*n)*(0 + 2*n + 0) + n - n + 2*n**2).\nAnswer: -330*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 3015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.1 or 3637435?\nAnswer: 3637435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:00 PM and 4:41 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 430*j**4 + j + 89.\nAnswer: 5160*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1330 - -21291\/16. Let q = -29\/16 - o. Let d be -4 + 1*(2 + 0). Which is smaller: d or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 260 - 252. Let k(v) be the second derivative of -1\/60*v**4 + a*v + 1\/5*v**2 + 1\/30*v**3 + 0. Solve k(f) = 0 for f.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.598032393 rounded to four dps?\nAnswer: 2.598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -v - q - 4, -12 = 2*v + 3*q. Let t = 3445 - 3443. Solve -3*z - t + 14 = v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = 197 - 13. Let w(u) = -3*u**3 - u**2 + 1. Let b be w(-1). Suppose -b*i - 2*i = l - 185, -2*l = i - t. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the first derivative of 6*a**2 - 23*a - 2. Let q be b(7). Suppose -q = -u + 49. What are the prime factors of u?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22 (base 14) to base 13\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 95\/6 and -68\/20379.\nAnswer: 40758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is (-10489072)\/(-144) - (2\/72 + (-14)\/56) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6545914, -26183692, -58913322, -104734804, -163648138, -235653324, -320750362?\nAnswer: -418939252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 32301122, 64602241, 96903360, 129204479, 161505598, 193806717?\n\"Answer: 32301119*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {t: 2, s: 11, j: 7}.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 9 + 0 + (-1 - 1). Suppose -z*o = -2*o - 45. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -61*m + 1. Let u be c(1). Let x = 419\/7 + u. What is the second smallest value in -1\/4, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4796 times 0.02?\nAnswer: -95.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5355160*h + 14723533 wrt h.\nAnswer: -5355160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/3*51\/(-68).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes before 5:06 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*j + 2*j = 0. Let t(g) = j + 0 + g. Let z(o) = -o**2 - o**2 + 4*o**2 + o**2. Determine z(t(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 55003816477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 223866280 to the nearest 1000000.\nAnswer: 224000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 11923941479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 47877281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (70\/(-630))\/(83\/((-747)\/84))?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8736 divided by -48?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**(1\/17))\/((d*(d*d**(1\/9)*d)\/d)\/d) assuming d is positive.\nAnswer: d**(-26\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.1  (b) 2\/9  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 3*t + t - t. Let h(d) = -10*d**2 + 1193 - 1193. Give h(q(w)).\nAnswer: -90*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 4409, 8888, 13415, 18014, 22709, 27524?\n\"Answer: 4*g**3 + 4451*g - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m - 1. Let k(l) = 36*l + 1. Give -k(f) + s(f).\nAnswer: -37*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 40 - 3421?\nAnswer: -3331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5.93 + -6. Suppose -2*u = -34 + 10. Let f be (-1)\/(-3) - (32\/u - 3). Sort 0, f, k in decreasing order.\nAnswer: f, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:36 AM and 6:57 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the first derivative of 14*t**3 - t**2\/2 + t - 57. Give i(1).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p - 1 + 1 + 6)*(3*p + 2 - 2).\nAnswer: 6*p**2 + 18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 76 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-128)\/960)\/(1 + 8\/(-10)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -6, -a - 4*t + 24 = -5*a. Let c = a + 13. Solve 5*k + c = 3*s, 0*k = 3*s - k - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*i - 336 = -0*i. Let w be (i\/7 + -2)\/((-11)\/(-77)). Is 10 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j. Let c(r) = -2*r + 1. Let w(i) = c(i) - 5*n(i). Let a be (-26)\/(-6) - 2\/6. Let u(s) = -4*s - 1. Determine a*u(v) + 5*w(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 16ab321 - -9?\nAnswer: 16ab32a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -233 = -5*d + 367. Does 24 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 3*n - 9 = 0, q + 4*n = -2*q - 12. Suppose q = 6*h - h. Suppose -2*c + 40 - 10 = h. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 + 8. Suppose -2*n = -8 - 0, f*z - 4 = 2*n. Suppose -3*s = -4*v + 33, -z*v + 5*s = -2*v + 13. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuoguuouuoooouououou. Give prob of picking 3 o and 1 g.\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 57\/19 - ((-44)\/6 - 18\/27).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2118770 to the nearest ten thousand.\nAnswer: -2120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5027523 millimeters to nanometers.\nAnswer: 502752.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11011 - 201002211012?\nAnswer: -201002222100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 139107271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 15602.6 milligrams?\nAnswer: 15.6026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 109905745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 2\/3, -3\/10, 1\/3, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*u + 429 + 551. Let g = 1399\/10 + u. Which is the nearest to 1?  (a) g  (b) 0.1  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1561?\nAnswer: 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 132*x + 161*x = 22*x - 6233 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lttltlt. Give prob of picking 3 l and 1 t.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0\/(-2) + (-241175)\/30 + 1. Let o = -8058 - p. Let z = -297\/265 - -15\/212. Calculate the common denominator of z and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(-3)*-1*0. Suppose -4*r - 2*w + 258 = l, -4*r = 2*w - 4*w - 246. Round r to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 116*u - 121*u + 5*g + 20 = 0, 3*u - 8 = 2*g. Solve u = 3*y - 12, 8*f - 12*f + 16 = y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/5*(-260)\/(-234). Sort z, 15, 0.1 in ascending order.\nAnswer: z, 0.1, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4123545 and 2350.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - (0 + -2 - (0 - -2))) + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, -2\/7, -0.3, -22, 7\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 + -53 + (15 - -8 - 45).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 4*u = 14, -3*m + 2*u = -5*m + 10. Let i(x) be the second derivative of 1\/18*x**4 - 1\/60*x**5 + 0*x**2 + 0 - 4*x - 1\/18*x**m. Factor i(c).\nAnswer: -c*(c - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 3*l + 22 = 6*u, 24 = 2*u + 5*l. Let z be (-24)\/18*3\/u. Is -10\/3 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56726 to the power of 1\/2, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -552, -2616, -7610, -16998, -32244?\n\"Answer: -244*q**3 - q**2 - 353*q + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**2 - 8*o - 10. Let x(p) = p**2 + 15*p + 19. Let s(f) = -5*c(f) - 3*x(f). Let w(j) = j**2 - 4*j - 6. What is 4*s(k) - 5*w(k)?\nAnswer: 3*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/5?  (a) -3\/5  (b) 1\/43  (c) 4  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r + 2*n + 1 = r, 0 = -5*r + 2*n - 9. Let s = -12 - -14. Let p be 1 - (9\/2 - s). Which is bigger: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-6)\/(-15) + ((-3984)\/(-10))\/4 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -14775*q - 44329. Determine t(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(99) + -3 + sqrt(99)) - sqrt(99))**2 + 0 + 2*((sqrt(99) - sqrt(99)*3) + -2) + 4.\nAnswer: -1416*sqrt(11) + 17055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 + -36bb484?\nAnswer: -36bb488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2035112?\nAnswer: 2, 254389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-10 - 2 - 15)*(-2 + t + 2)*(-13 + 9 + 9) to n + l*t and give l.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3041 + -213?\nAnswer: -3304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3030125 or -3030128?\nAnswer: -3030128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 656?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 751 - 637. Suppose -5*h + 26 + x = 0. What is the greatest common factor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.7 times -1603\nAnswer: -1122.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 20*b**3. Let k be i(1). Solve 5 = 3*d + k for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 0*x - x**2 + 0*x + 6*x**2. Let o be 4*(1 - (-1)\/(-2)). Let c(k) = -4*k**2 - 2*k**2 + 5*k**o. Give c(a(v)).\nAnswer: -25*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/6)\/(4\/3)*(-69250)\/((-1108)\/(-4))?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the first derivative of -12*m**5\/5 - m**4\/2 - 18*m**3 + 40. What is the third derivative of q(h) wrt h?\nAnswer: -288*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70908 = -732072*d + 733005*d for d.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 110101110001110101011 (base 2) in base 10?\nAnswer: 1762219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3361618 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -41 - -74. Suppose -2*j + 4*x = -r - 49, 0 = -5*j + 4*x + 187. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 58\/77861 or 0?\nAnswer: 58\/77861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4502 + 12?\nAnswer: -4460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -9*x + 17. Differentiate 10*z**4 - 17*z**x + 4*z**4 - 22 with respect to z.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + 5*g + 22 = 2, 0 = -3*o + g + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 38875 and 2125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -48094071*b**3*g**2 - 2*b**3*g - b**2 + 7136831*g wrt g.\nAnswer: -96188142*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 35216 and 451702?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2709*v - 2707*v - 3*o - o = 28, 91*o - 90*o = 5*v + 1 + 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1485044 is divided by 212148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-18)\/((-2*4)\/(-4)). What is the smallest value in n, -4, -3\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 3, i: 1, x: 3, m: 1, q: 2}. Give prob of picking 1 t, 1 i, and 1 q.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hfftfffffhhfht. Give prob of picking 1 f and 2 h.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-21)\/7 + (4 - 1). Suppose -d + 4 - 2 = 4*b, -3*d + 3*b + 21 = v. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4291 and 1159796.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1427 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 8, 3, -3, 2, 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -26 - -24. Let r be (-3)\/c + 169\/(-110). Which is bigger: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -3*a - 20. Let n be x(-8). Suppose -2*d - 3*u = -12, 3*d + 0*u + u - 4 = 0. Solve -2*j + 2 = d, 2*j - 6 + 20 = n*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**3 + 16*n**2 + 18*n - 13. Let f be ((-663)\/156)\/((-2)\/8). Let j be c(f). Let g be (-2 + 40)*(-2)\/4. Sort j, -3, -4, g in decreasing order.\nAnswer: j, -3, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -1. Let x(w) = 1. Let r(m) = 4*b(m) + 5*x(m). Suppose 2*k - h = h + 10, 0 = -3*k + 2*h + 11. Let p(n) = -n**2 + 1. Determine k*p(d) - r(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1615?\nAnswer: 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9902 - 109103\/11. Let w = -2775\/176 - s. Let f = -7765 - -139643\/18. Find the common denominator of w and f.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1229*m**2 - 1295*m**2 + 2526*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68) + 0 + sqrt(425) + 0 + sqrt(425))**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -291*k + k**2 + 229*k - 2*k**2 + 62*k + 308 to y*k + p*k**2 + j and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -30  (b) -5  (c) 90\/11  (d) -1  (e) -0.3  (f) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/24 - 1334\/(-24). Let f = c + -53. Suppose 0*s + 2*s = 2. Which is greater: s or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/((x\/(x**11\/x)*x)\/x)*x**(-2\/33))\/(x**(-17)\/(x\/(x\/(x\/x**(-3\/7))))) assuming x is positive.\nAnswer: x**(6553\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 - 3. Let s(l) = 7*l**3 + 91*l**2 - 21*l - 9. Let k(v) = -v**3 - 12*v**2 + 3*v + 1. Let f(u) = -15*k(u) - 2*s(u). Give f(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -3740*j - 14. Let q(i) = 1247*i + 4. What is 7*q(g) + 2*t(g)?\nAnswer: 1249*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 648685 by -2.\nAnswer: -648685\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fsb when three letters picked without replacement from {a: 3, j: 2, f: 7, b: 1, s: 1}.\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 1 g, 1 e, and 1 h when four letters picked without replacement from gehejhft?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**3\/6 - 347*i**2\/6 + 140429*i\/6 + 16290125\/2.\nAnswer: -(i - 375)*(i + 361)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b - 4. Suppose 3*z - 20 = -2*z - 3*d, -4*z - 5*d + 3 = 0. Determine a(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -916 - -917. What is the smallest value in w, -1, -1\/2, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 4*b + 13. Let g be c(2). Suppose 0 = -g*a + 26*a - 4*w - 2350, -3*w - 2350 = -5*a. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-135)*(2 + (-22)\/8)*(-33 + 30).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -52  (b) 2.54  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q = -5*u + 7, -39*q = -34*q + 5*u - 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -16*q + 36 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**2 - 6*k - 12. Let t be a(8). Let o be 6\/t*60\/45. Suppose -o*q = 2*s - 82, s + 0*q - 51 = q. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12749.\nAnswer: 11, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1.7319 * -3024\nAnswer: 5237.2656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the third derivative of -f**7\/140 - f**6\/720 - f**5\/30 - 3*f**2. Let h(n) be the third derivative of b(n). Is h(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x\/x**2))**(-5)*(x**(6\/11))**(-1\/13) assuming x is positive.\nAnswer: x**(-1436\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*l - 15314 - 6125 = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -14151140 at least -14151139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes before 9:08 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 387 a factor of 118366304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10094 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0255648 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1131 - -39.07.\nAnswer: -1091.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10636 (base 9) to base 4.\nAnswer: 1232220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.2*-873956\nAnswer: -174791.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 4*u = 12, 3 = -u + 1. Suppose 3*d - t*k + 18 = d, k - 18 = 4*d. Let m(h) = 3*h - 4. Let g(q) = q**2 + q. Let l(z) = -g(z) - m(z). What is l(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*m**3 + 6*m**3 + m**3)*(2*m**2 + m - m) + (-152*m**3 + 51*m**3 + 52*m**3)*(2 - 2 + 2*m**2) - 2*m**5 + 0 + 0.\nAnswer: -96*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 3060, 6131, 9212, 12303, 15404?\n\"Answer: 5*y**2 + 3056*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 67 + -70. Which is the biggest value?  (a) r  (b) 0  (c) 1\/3  (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**2 + 4*h + 5. Let x be m(4). Let z = 17 + -15. Let i be (-51 + 51)*(1 - z). Solve 9*n = x*q + 4*n + 10, -5*n = i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 108557?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 21766908 by 122286.\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -2349880 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 1703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1967353?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -s**4*z**2 + 22*s**4*z - 4*z**2 + 20*z wrt s.\nAnswer: -4*s**3*z**2 + 88*s**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**2 - 21*w - 95. Determine l(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 24 - 28. Is ((-492)\/(-9))\/(u\/(-6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -453*f**3 + 10*f**2 - 8*f - 9. What is u(-1)?\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3356*q - 29479*q - 6631*q - 69652*q.\nAnswer: -109118*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x + 4. Let i(z) = 4*z**2 - 9*z + 5. Let u(o) = 3*o**2 - 8*o + 5. Let r(f) = -2*i(f) + 3*u(f). Let m be r(6). What is the units digit of w(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 2*k - 9. Let c be y(6). Let n(q) = -q**2 + 2*q - 2. What is n(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 71, 3, 92, 1, 0 in decreasing order.\nAnswer: 92, 71, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, -2\/15, 1\/4, 2\/13, 2, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/16)\/(21\/(-8))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -3  (b) -1\/5  (c) 5  (d) 24  (e) -155\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 197 + -196.686. Let h = p - 17.054. What is h rounded to zero decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/((-14 - -2)\/13044) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -5*m + 1 - 1. Let w(t) = 2*t. Suppose -4*j + 163*l = 164*l + 66, -j - 23 = -3*l. Give j*w(a) - 6*p(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -5*y**2 - 4*y - 15. Let b(a) = -6*a**2 - 4*a - 16. Let q(r) = -6*b(r) + 7*s(r). Is 21 a factor of q(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -32\/7  (b) -1\/3  (c) -45.7  (d) -1  (e) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.104 rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2\/11)\/t**(7\/6))\/(t**(-17)*(t\/(((t**(-15)*t)\/t)\/t)*t)\/t) assuming t is positive.\nAnswer: t**(-89\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8581.003 weeks to milliseconds.\nAnswer: 5189790614400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -56*j + 1317. Give u(24).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10813561?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -544*w**2 - 790*w**2 - 270*w**2 + 27*w**2.\nAnswer: -1577*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -0.4, 6, 1\/4, -0.12, -1\/76, -1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 3*8\/(-132).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1361 and 4366088?\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 311 < 347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 6 + 13*l + 5 + 18 - 8. Let x(d) = 5*d + 8. Let m(u) = 3*p(u) - 8*x(u). Let g(j) = -j - 4. Determine -g(k) + 4*m(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(((-2*sqrt(77) - sqrt(77)) + sqrt(77) - sqrt(77)) + sqrt(77)))\/sqrt(7) - ((2*sqrt(132) + sqrt(132))\/sqrt(3))\/sqrt(4))**2.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 3*s. Let f be x(1). Suppose 4*r - 24 = f*o - 2*o, 5*r = 5*o + 45. Is ((-762)\/o)\/((-1)\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 13*z**3\/10 - 45784*z**2\/5 + 161138497*z\/10 + 37234587.\nAnswer: (z - 3523)**2*(13*z + 30)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -98 + (-34 - (-151 + 11)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*y**4 + 0*y**3 - 98*y**2 + 93*y**2 - y**3 - 2 to r*y + m*y**2 + d*y**4 + q + f*y**3 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 2*h + 2 - 5 + 1399998*h**2 + 2 - 5*h. Let x be l(-1). What is x rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1136 to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-12)\/15*75\/6. Is a*(-6)\/9*(-162)\/(-24) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 587884?\nAnswer: 2, 11, 31, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 8, e: 2, o: 1, p: 7}. Give prob of picking 2 y.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (14\/(-3))\/((-9 - -15)\/2214). Let d = -1198 - r. Calculate the highest common factor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(2112)*-2*2)\/(3*sqrt(3)*3 + sqrt(162)\/sqrt(6)).\nAnswer: -16*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -299 = -37*x + 60*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -47 - 55?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 459?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 104255358905 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 4, 3, -4 in descending order.\nAnswer: 4, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 - 1. Let i be (-6)\/12*1*-62. Suppose -5*o = -3*n - i, -o - o = -2*n - 14. Solve -k = -y*k, -o*k + 4 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1736, 1735, 1734, 1733, 1732, 1731?\nAnswer: 1730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -4*u - 3. Let w be (u - 4 - -2) + 5. Suppose 13 - 4 = 3*m, -w*b - 2*m + 558 = 0. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 11*l**4 - 81216*l**3 - 26408818*l**2?\nAnswer: 264*l - 487296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 3*f + 33 = 8, 55 = 3*v + f. Let s = v - -52. Suppose -5*b - 2*c = -339, -3*b + 121 = -4*c - s. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -18  (b) -7  (c) -2\/7  (d) 6  (e) -67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 32 and 10848?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*f**2 - 188332916 + 188332916 - 2*f + 2*f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 4*g**2 + 33*g - 21. Let u be x(-9). Solve 12 = u*p - 24 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 19597923643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5178709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p - 29 = -4*u, p + 21 = 3*p + 3*u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 0 + sqrt(5) + 0 - (sqrt(245) - (-1*sqrt(245)*6)**2).\nAnswer: -6*sqrt(5) + 8821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46547.\nAnswer: 89, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from icdccciididxddiciix. Give prob of picking 2 i and 1 d.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8 + 16. Suppose 0 = 45*j + 228 - 3. Let t be u\/(-20) - 2\/j. Solve t = -5*p + 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 1199028433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 7) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 5) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xiixxx. Give prob of picking 4 x.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t*t**(-8)))\/t*t*t**0*t)\/(((t\/t**(4\/3))\/t)\/t)**(-25\/7) assuming t is positive.\nAnswer: t**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**3 + 5*k**2 - 8*k - 6. Let h be i(-6). Let x = 3.7 - 0.9. Let u = 3.2 - x. Put h, -4\/7, u in decreasing order.\nAnswer: h, u, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -311, -1200, -2685, -4772, -7467, -10776?\nAnswer: -14705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/63*(14\/(-3))\/(-2)*6930\/8085\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 41 and 40.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*y + y - y)*(-2 + 4 - 1) + (-1 + 1 + 2*y)*(5 - 1 - 8) in the form h*y + t and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6404 by 7.\nAnswer: -6404\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -5151 (base 11) in base 2?\nAnswer: -1101010110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/9)\/((242\/99)\/(-11)) + -10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 4 + 2 + 2 + -6 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.6?  (a) -5  (b) -695  (c) -2  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/14 and 37\/284?\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -679*u + 696*u - 17. Put u, 13, -10, 5 in increasing order.\nAnswer: -10, u, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-146)\/(-3) - (-5)\/15. Let u be 1\/(-2)*252\/(-18). Calculate the greatest common factor of c and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -417 (base 9) to base 7\nAnswer: -664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - (-6 - (-6 - 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 42 = 3*j, -j + 15 = y + 9. Suppose z + 6*u = j*u + 1035, -2*u - 2062 = -2*z. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((-5 + (0 + sqrt(2057))**2 + 5*(sqrt(2057) + (sqrt(2057) + 2*sqrt(2057))**2))*4 + 3).\nAnswer: -1892355 - 1100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(440)\/(sqrt(40)\/sqrt(5)))\/(4*sqrt(245)))**2.\nAnswer: 11\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.831006 rounded to 2 decimal places?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -0 + 85. Calculate the remainder when 46 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 - 4. Let g be 5*((-776)\/20)\/(-2) + -2. Suppose -g = -5*f - m*f. What is the remainder when 37 is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -29 - -36 - (3 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = n - 4. Let d = -3139850\/9 + 348873. Factor -1\/9*t**n - d*t - 2\/3.\nAnswer: -(t + 1)*(t + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-42)*18\/6\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 12468179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -300, -13, 3, 32, -2, 0, 1 in ascending order.\nAnswer: -300, -13, -2, 0, 1, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0, -603 in decreasing order.\nAnswer: 0, -4, -603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 16 - 1. Let f(j) = -15*j + a*j - j**2 - 3. Let m(c) = 1. Determine -f(z) - 3*m(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jah when three letters picked without replacement from {h: 14, a: 1, j: 2}?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1270 + -23)\/43 + 12 + 7.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is cba3e1 (base 15) in base 12?\nAnswer: 32bb8b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 30 and 145.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve m - 16 = 5*p, 0 = -3*p + 3*m - 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -32*l**2 + 514*l - 36. What is q(16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 792.7723 tonnes?\nAnswer: 792772.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 100*x - 104. Let y be b(5). Calculate the highest common factor of y and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (8 - (10 - -17)) + -3 + (1 - -1)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*x + 4*x - 4*x + (60 - 116 + 60)*(2*x - 4*x + 4*x).\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-32)\/(-14) + 4\/(-14). Suppose 2*v = v + r. Let 1 - z**4 - 6*z**2 + 4*z**2 + v*z**4 = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -57494347.91416 - 0.03?\nAnswer: -57494347.94416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*v + 132917 = -23*v. Suppose 4*y - 5*u = v, -y + 5*y = 4*u + 5780. List the prime factors of y.\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 299?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s**2 - 2*s**2 + 3*s**2 + (-4 + 4 + 2*s)*(3*s - s - 4*s) - s**2 - s**2 + s**2 + 0 + 2*s**2 + 0)*(16*s**3 + 12*s**3 - 2*s**3).\nAnswer: -52*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in 1\/36, -26.4195, 5, -2\/7, -2?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2580 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -34\/413 and 12\/295.\nAnswer: 2065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -474 + -17?\nAnswer: -48b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 27*z**2. Let c(k) be the second derivative of -k**7\/1260 + 41*k**4\/12 + 41*k. Let b(w) be the third derivative of c(w). Give f(b(t)).\nAnswer: 108*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 7*s = 76. Suppose 14*g - s*g + 260 = 0. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16 and 4392?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f*f*f*f*f*f\/f**(1\/15)))\/(f*f**1)*f**6*f**(-5) assuming f is positive.\nAnswer: f**(-89\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/3  (b) -21814  (c) -73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2095230\/277 - 7564. Put 0, n, -5 in increasing order.\nAnswer: -5, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2993 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27 + (18 + -13 - (58 - -8)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13747 + -95596. Let x = -81848.29994 - i. Let s = x - 0.7. What is s rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48715 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n - 259 - 241 = 0. Let q = -42 - n. What is the greatest common factor of q and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-966 - -997 - (30 - 1)) + 60?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 127, 16665, 20 in descending order.\nAnswer: 16665, 127, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2 - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/192 and -41\/4099401?\nAnswer: 262361664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 1 + 1 = -5*c, 0 = -5*c. Suppose u*k - k = 75. Is k a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1282417?\nAnswer: 1282417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 618 is divided by 89.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**24*x)**(-18))**(2\/57) assuming x is positive.\nAnswer: x**(-300\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-8)*g**6*g)\/((g\/(g\/(g\/(g\/(g*g**(-2)*g)))*g)*g*g)\/g)**(-42) assuming g is positive.\nAnswer: 1\/g","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11133\/718 + -2\/359. Let x(f) = -225*f - 8. Let j be x(8). Let y = j - -36167\/20. Find the common denominator of d and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (((-10)\/3348)\/5)\/((-8313)\/(-2544849)). Let d = 8\/1467 + p. What is the common denominator of 2\/4 - (-33)\/(-15) and d?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 254 by 2246099.\nAnswer: 254\/2246099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -13006 by 1.\nAnswer: -13006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 2*x. Let f(n) = -3967*n + 2. Give f(g(s)).\nAnswer: -7934*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -1\/74, 0.4, 8?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 3199, 562\/7, 2\/15 in increasing order.\nAnswer: 2\/15, 562\/7, 3199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/2455578 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.259493 rounded to 3 dps?\nAnswer: -0.259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**2 - 9*y - 9. Let a be g(-7). Let k = a - -17. Let f be (-4)\/k + (-24)\/(-11). Solve f + 10 = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 212 divided by 35?\nAnswer: 212\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 37*s + 2561. Determine v(-115).\nAnswer: -1694","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-16)*((q**(-12\/13)\/q)\/q)\/q)\/((((q*q**2*q)\/q*q)\/q)\/q)**(1\/36) assuming q is positive.\nAnswer: q**(-4675\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -193845935619675*s**2 - 48230190*s - 3 = 0.\nAnswer: -1\/8038365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(76))*-5 + sqrt(304)*6 + 0 + sqrt(1539))**2*4.\nAnswer: 1840*sqrt(19) + 40604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**3 - z**2 + z + 5. Let c be x(0). Suppose -v + 6 = 4*j, 0*v + c*j = -5*v + 60. What is the remainder when v is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -421 - -422. Suppose -9 = -5*w + h. Calculate the remainder when 17 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -99959 (base 14) in base 6?\nAnswer: -11551311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(1\/22)\/x)\/(x**(-2\/13)*x)*((x*x\/(x*x*x**17*x*x))\/x)**(-10\/11) assuming x is positive.\nAnswer: x**(4685\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**2\/2 - 48*n.\nAnswer: n*(n - 96)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 72 = 3*o, 59 = 5*o + 5*n - 66. Suppose 5*y + 3*g - 165 = 0, 4*y + g = -4*g + 132. Calculate the highest common factor of y and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 299405716 to the power of 1\/3, to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15351 - 11977 = -14*i. Calculate the greatest common factor of 122 and i.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9390 and 330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14 + 25. Let s = x - 7. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that -h**2\/4 + 2408837*h\/2 - 5802495692569\/4 = 0.\nAnswer: 2408837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -339120 greater than or equal to -3052085\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*z + 2*z + 1463 = 0. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -3*o**3 - 50*o**2 - 50*o - 16. Let n(g) = -g**3 - 17*g**2 - 17*g - 5. Let h(j) = 17*n(j) - 6*y(j). Let r be (2\/4*4)\/(2\/(-9)). Is h(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -25*m**2 - 3*m - 58 wrt m?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 + 1. Let j = -4446237 + 8346234. Suppose f = 3*b - 0*b - j, -2*b - v*f = -2600009. What is b rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*u**3 - 32032*u + 32032*u.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-300)\/420 + 341\/7. What is the greatest common factor of 1200 and c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -168 and -1341\/8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.11 - 2.1. Let x = 0.133 + 0.697. Let m = y + x. What is m rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(189)*2)\/sqrt(3))\/(sqrt(324) + (sqrt(324) - sqrt(324)*2 - sqrt(324))*4 + sqrt(324)).\nAnswer: -2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes before 12:43 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 47718 - 42004. What is the third biggest value in 0, n, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2\/1)\/((-6)\/(-177)). Suppose 66 = 5*f - 3*o - d, -3*f + 2*o = -76. Is f a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 496445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.4?  (a) 2\/9  (b) -3  (c) -14682\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8*(-103)\/((-69525)\/(-11400))?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -181*b - 24 = -184*b + 3*s, 4*b - s - 32 = 0 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 23 - 20. Let b(q) = 8*q**3 - 3. Let g(w) = -w**3 + 1. Determine v*g(z) + b(z).\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6)\/9*((-11)\/1 + -1). Suppose -n*a - 106 = -394. Suppose 2*y + 3*w = 65 - 17, 4*y = -4*w + 96. Calculate the highest common factor of a and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 - 2)*(2 + 3 - 6)*(3*u - u - 4*u)*(-1 - 5*u + 1 + (-2 - 1 + 2)*(891 - 891 - 4*u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*f**2 + f**3 + 4*f**2)*(f + 3*f - 3*f) + 2*f**3 - 2*f**3 + 2*f**4 + (-2*f**3 - 4*f**2 + 4*f**2)*(-1 + 1 - f) + f**4 + 0*f**3 + 0*f**3.\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*x**2 + 5*x**3 + 35*x**3 + 31 + 71*x**3.\nAnswer: 111*x**3 + 5*x**2 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 242 is divided by 239.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 12615930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4382 = -8*x + 338. Suppose -4*c = -3*n - 673 - 453, -4*c = 8. Let r = n + x. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 5*s**2 - 6*s + 1. Let o be (-9)\/((-18)\/4) - -2. Let m(f) = -4*f**2 + 5*f - 1. Give o*m(i) + 3*w(i).\nAnswer: -i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 26469 + -26473. What is the biggest value in 77, d, -1\/11?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1159c2 + 121?\nAnswer: -1158a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(65) - (sqrt(65) + 2*sqrt(65)*3))\/(sqrt(125)*-4) + 5.\nAnswer: 3*sqrt(13)\/10 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 10*c + 3. Let v be g(3). Let w = 1 - 3. Let i(f) = -5*f**2 + 2. Let l(b) = -81*b**2 + 33. Give v*i(p) + w*l(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -10*l - 5. Let n(b) = 11*b + 5. Calculate 7*m(w) + 6*n(w).\nAnswer: -4*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/6 - (-1312)\/768?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 133643 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -5*m - 14. Let z(c) = c + 3. Suppose 0 = b - 12 + 1. Let k(l) = b*z(l) + 2*o(l). What is k(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the first derivative of -b**7\/21 - 29*b**4\/12 - 34*b - 37. Let h(y) be the first derivative of u(y). What is the third derivative of h(j) wrt j?\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 51*k**3*u + 21*k**3 + 5*k**2*u*x**2 - k*x**2 - x**2 wrt u?\nAnswer: 51*k**3 + 5*k**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 4185 divide 45901080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 29 + 81 = 0. Let n = l - 52. Solve 0 = -0*r + 5*r - n*p + 31, r = -3*p + 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (6 + -183 + 7)*(44\/(-10) - 6). Calculate the highest common factor of 136 and f.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 57 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**3 - 6*y**2 - 7*y - 7. Let h be l(-5). Let a be (h\/(-4))\/((-8)\/32). Solve -4*k = -a*u + 16, -2*u = -k - 0*u - 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3959938972 take away -1.7?\nAnswer: -3959938970.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 4193 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 101 + -36 + (42 - 13) + (-3 - 2)\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -349 + 1319. Is k\/(-15)*(-6)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3488 > -3520?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 70, 71, 64, 43, 2?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1147244138, 1147244142, 1147244148, 1147244156?\nAnswer: 1147244166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3015460570 divided by -2.\nAnswer: 1507730285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 228, 906, 2036, 3618?\n\"Answer: 226*m**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o**2\/9 - 1839218*o\/9 + 3678440\/9 = 0.\nAnswer: -1839220, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1400 and 1640?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6653 + -6598. What is the remainder when u is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**2 - 6*s + 4. Let f(y) be the first derivative of y**2\/2 - 4*y + 2. Let u be f(8). Calculate k(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the second derivative of -d**4\/12 - 8*d**3\/3 - 21*d**2\/2 + 6415*d. Give c(-17).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -135384*i**4 - i**3 + 4*i**2 + 31173818.\nAnswer: -541536*i**3 - 3*i**2 + 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*q + x + 8, q + 707*x - 7 = 701*x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -721330 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-1 - -1)\/(-1))\/(-2). Suppose 3*b - 4 - 14 = f. What is the units digit of 9\/(-27) + 122\/b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 93016\/3 + -30683. Let m = d + -322. Which is the nearest to -1\/7?  (a) -3\/4  (b) m  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 983 is divided by 387?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 0 + 4*o**3 + 8*o**2 + o**3 - 9 - 12*o - 4*o**3. Is r(-9) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (52\/117)\/((-8)\/12)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10501851 and 24909?\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4139435 - 2396722877\/579. Let s = x + -1\/2316. What is the common denominator of s and -36\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1196545 + 276655 = -4*t - 4*k, 4*t = 4*k - 1473200. What is t rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine fifths of a minute in seconds?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 3286, 3281, 3266, 3235, 3182, 3101, 2986, 2831?\n\"Answer: -u**3 + u**2 - u + 3287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -6, 7 in decreasing order.\nAnswer: 7, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 145 - 144. Which is the third smallest value?  (a) -2\/11  (b) -0.4  (c) 3  (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 0.64, 2, -0.1, 5, -0.29 in ascending order.\nAnswer: -0.29, -0.1, 0.64, 2, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 13 = c - 37, 5*c - 60 = 5*n. Suppose -4*p - 12*i = -c*i - 11, -p + i + 3 = 0. Solve -d + 0*d - 4*a + 2 = 0, a + 3 = -p*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (12*i + i + i)*(5 + 1 - i + 2) in the form v*i + r + f*i**2 and give v.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17107 - 9.\nAnswer: -17116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 2*y**3 - 3*y**2 + y + 2. Determine g(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (5 - -2030) + (20 - 20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7*b**3 - 4838*b**2 + 163260.\nAnswer: -21*b**2 - 9676*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -17 and 0.3.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 6914641333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15191 - 30540 = -22*b - 14909 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -127 + 166. Suppose -24 = -u - 3*p + 7, -5*p - l = -4*u. Calculate the remainder when 63 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:35 PM and 7:06 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 divided by -89876.\nAnswer: 11\/44938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 2*k. Let p(y) = -37380*y - 55. What is d(p(f))?\nAnswer: -74760*f - 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -302*t - 6585 + 17759 = 0 for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the third derivative of 0 + 0*o + 11\/60*o**5 + 41*o**2 + 0*o**4 + 0*o**3. Let m(f) be the first derivative of f**2\/2 - 1. Calculate b(m(s)).\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 194.0316 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**2 - 5*s - 4. Let h be x(-4). Let c be h + (1 - 13\/11). Let m = 134 + -138. Put -2\/15, c, m in increasing order.\nAnswer: m, c, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -105 + 56 + 53 - 20*l as p*l + z and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 + 10. Suppose 5*w - b*y = 2 + 4, 2*w - 9 = -5*y. Let m be (-10 - 2)\/((-2)\/w). Solve -m + 0 = -3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29012, 56431, 82262, 106505, 129160, 150227?\nAnswer: 169706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 451118838 to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -9*n. Let z(q) = -6*q - 501. Determine z(d(t)).\nAnswer: 54*t - 501","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3067 = 5*c - 4*o, 0 = -2*c - 3*c + 2*o + 3061. Let v = 614 - c. Factor -3\/2*f**4 - 3\/2*f - 3\/2 - 3\/2*f**5 + 3*f**v + 3*f**2.\nAnswer: -3*(f - 1)**2*(f + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -3*sqrt(1573) + 3)*-4 + 0 + 2.\nAnswer: -10 + 132*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 415574209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 4*k = -15, 0*r + 4*k = -2*r - 6. Suppose -2*f + 27 = -r*v, 3*f - 35 = -2*f + v. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 7*o**3 + o**2 + 2*o + 1. Let b(g) = -7*g**3 - g**2 - g - 1. Let r = 28 - 32. Let t(f) = r*b(f) - 3*y(f). Calculate t(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 + 9. Suppose -w = -3*w + 8. Let b(u) = 2*u**2 - 3*u. Let j be b(w). Solve -j = g*s, -y - s - 4*s - 15 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -148 (base 12) to base 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3864*h + 15834*h + 13251*h.\nAnswer: 32949*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 23 = -2*a - 3*t, t + 3 = 0. Let n(y) = y**3 - 5*y**2 - 9*y - 7. Let f be n(a). What is the greatest common factor of 42 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 4*n**3 - 26*n**2 - 13*n - 23. Determine m(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 464743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the first derivative of j**8\/420 + j**7\/105 + j**6\/90 - j**3 + 7. Let p(w) be the third derivative of x(w). Factor p(k).\nAnswer: 4*k**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-2))\/(((-32)\/(-128))\/(3\/6))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2\/17*q**4 - 20\/17*q**3 + 74\/17*q**2 - 120\/17*q + 72\/17 = 0. Calculate q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6485485 less than 6485483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 831105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2\/13)\/u**(2\/7)*((u\/u**(2\/19)*u)\/u)\/u**(-1))**(3\/26) assuming u is positive.\nAnswer: u**(3774\/22477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/7, 3, -1, 1\/4 in decreasing order.\nAnswer: 3, 4\/7, 1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-885)\/(-3009))\/(10\/4). Which is the biggest value?  (a) g  (b) -12\/13  (c) -1\/3  (d) -1\/4  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 1. Let r(i) = i**2 - 2*i - 9. Calculate -18*m(b) - 2*r(b).\nAnswer: -2*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i**5 + 2*i**5 + 0*i**5)*(3 + 1 - 2 + (2 - 5 + 1)*(2 - 3 + 3)).\nAnswer: -8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -4*g**2 - 185. Let d(r) be the second derivative of -r**3\/3 + 46*r + 1. Determine p(d(h)).\nAnswer: -16*h**2 - 185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1912.9887 months?\nAnswer: 159.415725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1535 + -1055. Is 40 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 + 9. Let p be ((-66)\/(-10))\/(3\/15). Suppose 2 = v*o - p. What is the remainder when 20 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 47*k. Let z(f) = -30*f**2 - 17*f. Determine z(h(y)).\nAnswer: -66270*y**2 - 799*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -166.267 - -165.1. Round l to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-5) + (-36)\/560 + 112\/(-448).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4.09 + -0.09. Let d = 2 - 1.8. Let o(m) = m**3 + m - 3. Let g be o(0). Which is the second smallest value?  (a) g  (b) t  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 482\/9 + 763\/9. Let s = g - 138. Let x = 2 + -2.1. What is the closest to 2\/7 in 2, s, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 495838140.\nAnswer: 2, 3, 5, 7, 23, 51329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * 63.\nAnswer: 18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 345151236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 691169 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes before 6:27 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 41234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = b - 5*j, -324*j + 323*j + 8 = 4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 277 divide 54728376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -1\/7, 4, 2\/9, 3, -16 in decreasing order.\nAnswer: 4, 3, 2\/9, -1\/7, -0.4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 r, and 1 m when three letters picked without replacement from {m: 1, x: 2, g: 2, n: 1, w: 1, r: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18*r**2 + 18*r**2 + 14*r**3 + (1 - r**2 - 1)*(4*r - 6*r + 4*r))*((-r - 4 + 4)*(-4*r - 11*r - 5*r) + 8*r**2 - 11*r**2 - 20*r**2).\nAnswer: -36*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 14\/63*(-3 - 0). Let u = 4 - 1. Which is the closest to o?  (a) u  (b) -3  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: What comes next: -155191, -311310, -467429, -623548, -779667?\nAnswer: -935786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 44409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*c**3 - 2*c + 2*c - 2*c**3 - 40 - 6*c**3 as h*c + f*c**3 + r*c**2 + s and give s.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6 + -4.6. Let i = -1.7 + b. Let r = -4.1 - -2.1. What is the biggest value in i, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 115 in 3\/5, -3\/994, -0.5, -2\/15, 0.11?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3805 - -3808. Let h(l) = 2*l**2 + 1. Calculate the remainder when h(-1) is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31953.\nAnswer: 3, 10651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(18) - (sqrt(18) - sqrt(2178)*4) - (-2*sqrt(882) + sqrt(882)))\/(((sqrt(324)*2)\/sqrt(9))\/(sqrt(6) - 1*sqrt(6)*-4)).\nAnswer: -765*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -12376  (b) -6  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vveeiifxfeivseseevve. What is prob of picking 1 i and 1 v?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 950 + -734. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1980 and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 4, x: 4, q: 6, s: 1}. What is prob of picking 1 s and 1 x?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) -3\/8  (c) -0.1  (d) 6366\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Are -814860 and -814859 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70*z**2 - 33*z + 10*z - 17*z + 69*z**2.\nAnswer: 139*z**2 - 40*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9056446 or -2?\nAnswer: -9056446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1839 + 3*m - 4*m**3 + 2*m**2 - 4*m**3 - 10*m**3 - 1840 to the form l*m + j*m**2 + t*m**3 + f and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -3*c - 1. Let v be z(-1). Let y be 12 + (v - 1) + -3. Let w = y - -8. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 797?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/((-17)\/(-153) - (-24)\/27). Sort -1, -7, -5, n, -3 in decreasing order.\nAnswer: -1, n, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 986943 to the nearest integer?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (132\/(-3663))\/((-104)\/312)?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/81740 and -93\/1384.\nAnswer: 28282040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(1539)*-3 + -2 + sqrt(1539))**2 - sqrt(1539)).\nAnswer: -30800 - 315*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g + 23 = -3*g - 7*l + 103, 150*l + 405 = g + 190*l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 188291.\nAnswer: 188291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c + 1. Let f be y(5). Suppose -3*w + 48 = f. What is the remainder when 69 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 19 - 10. Suppose 4*y + 5*w - 15 = 0, -5*w = 136 - 151. Suppose y = 7*k - b*k + 4. What is the remainder when 6 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 85 + -29. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24\/20)\/((-10)\/((-100)\/63))*6.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the second derivative of -15*k**6\/2 - 38*k**3 + 209*k. What is the second derivative of c(u) wrt u?\nAnswer: -2700*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9097779.\nAnswer: 3, 3032593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2 + (37 - 0) - -2 - -2. Find the third derivative of -2*q + l - 98*q**3 - 10*q**2 - 39 + 2*q**2 wrt q.\nAnswer: -588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 175 and 800.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3 - 2)*(3*w**3 - 3*w**3 + 2*w**3)*(1 + 1 + 2).\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 36*(-21)\/(-756)*2\/(-49)\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 9*x**2 - 1704*x - 10534. Give h(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -193 + 1353\/7. Let x = -0.87 - -8.57. Let q = x - 6.7. Which is the closest to q?  (a) 2  (b) l  (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 141086004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {z: 3, c: 4, f: 13}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-36))\/((-3)\/(-12))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10929*z**2 - 657 with respect to z.\nAnswer: -21858*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 5 = n, 4*n = -0*c + 2*c + 20. Suppose 3*v - 88 = -4*h, -5*v - 2*h + h + 158 = c. What is the remainder when v is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i + 5. Let q be g(-4). Let p = 6 + -8. Sort -1, p, q in decreasing order.\nAnswer: q, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6.434 + -6.624. Which is the third biggest value?  (a) 1  (b) q  (c) 0.066\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 2*q**4 + 40*q**3 - 156*q**2 - 360*q + 1242 = 0.\nAnswer: -23, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 94180 and 5140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2865, -22977, -77567, -183873, -359133, -620585, -985467?\nAnswer: -1471017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 164198489 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vlul when four letters picked without replacement from {r: 4, u: 5, d: 1, e: 3, v: 4, l: 3}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 85800 is divided by 383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the third derivative of u**2 - 1\/6*u**3 - 1\/24*u**4 + 0 + 0*u. Let h be 4*-5*(-4 + (-68)\/(-16)). Give c(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 112\/(-14)*-2 + 23132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b in 2*b**5\/17 + 80934*b**4\/17 - 890676*b**3\/17 - 6476480*b**2\/17 = 0?\nAnswer: -40478, -5, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0\/2)\/(2 - 0). Solve l = -d + 1 - 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/((-10)\/(-9 + -1)). Sort r, -3, -6 in ascending order.\nAnswer: -6, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -632*l - 650. Let h be i(-4). Calculate the greatest common factor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 16\/4852495 and 65\/142.\nAnswer: 9704990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - n - 3 + (-1 + 4 - 4)*(0*n - 2*n + n)*(-9 + 0 - 2).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11700 and 2580?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(9)\/sqrt(3))**2 + 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 - -8. Let k(g) be the first derivative of 0*g + 2 - g**o - 5\/3*g**3. Factor k(l).\nAnswer: -l*(5*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 436118*-2\nAnswer: -872236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r + 9 = 2*t + 1, 5 = 5*r + 5*t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h - 25 = -38*u + 43*u, -h + 13 = -5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of -3 + (-180)\/(-3 - 3) and 21.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1940 + -e?\nAnswer: -194e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*a**5 - 10*a**4 + 882*a**2 - 861*a**2 + 6*a**5 wrt a?\nAnswer: 240*a**2 - 240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4014971 and 29?\nAnswer: 116434159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 3*s**2 + 10*s - 3. Let w be o(-5). Let x be 8*(-2 - w\/(-8)). Suppose -3*t = 0, 5*b - 185 = -5*t + x*t. What is the remainder when b is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 135676 (base 12) to base 7\nAnswer: 2503536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*s - 253139*s**2 + 0*s + 7*s.\nAnswer: -253139*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.1 - 0.38. Let z = j - -0.51. Round z to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 9570 + 0?\nAnswer: 9570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1884957, -1885201, -1885445, -1885689, -1885933, -1886177?\n\"Answer: -244*q - 1884713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 + 1. Let c be 9\/z*34\/(-51). Calculate the greatest common factor of 27 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12997 + 8455. What are the prime factors of w?\nAnswer: 2, 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 128139393.\nAnswer: 3, 1301, 32831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10 - -11. What is the third derivative of -1 + a - 2*m**2 + 3*m**3 wrt m?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes before 6:28 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -27ee (base 16) to base 4\nAnswer: -2133232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0 and -14220.\nAnswer: -14220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3887323?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 126, 253, 392, 549, 730?\n\"Answer: o**3 + 120*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -11781 minus -1805572880?\nAnswer: 1805561099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*f + 3*p + 24, 4*p + 11 = 4*f - 17 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(2\/3)\/n**23)\/(n**39\/(n\/((n\/(n\/(n*(n*(n*n*n\/(n\/((n*n**(3\/13))\/n)))\/n)\/n))*n)\/n))) assuming n is positive.\nAnswer: n**(-2440\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1901?\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oooolllqoloooqqoq. Give prob of sequence llqo.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - (-8)\/(-6)) + (-546)\/78 + (-146)\/(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 132 - -20212?\nAnswer: 21010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 328935 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 67285637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -63 or 1787?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -23140941.7 rounded to the nearest 1000?\nAnswer: -23141000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53 = -4*l - 13. Suppose 3*w - l = -4*z, -4*z + 2*z - 4 = -3*w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:53 AM and 5:19 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (396\/45)\/2 - (-6)\/(-15). Solve n*f + 3 = -d, 2*d + 8 - 2 = 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 124342835 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9792 + 48962\/5. Factor 4\/5*o + 2\/5 + x*o**2.\nAnswer: 2*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24018*d + 48219*d = 24000*d + 20904 for d.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2010 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3 + 2)\/((-1)\/(-2)). Let d = 26 - m. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -4) + (35 - 36) - 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r\/r**(-1)*r*r)**3*r**(-2)*r*r**(-1) assuming r is positive.\nAnswer: r**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(44) - (3 + sqrt(44)))*5.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 41330310 (base 6) to base 2.\nAnswer: 100100011011100000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5\/25 - 977192\/(-40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 - (-6 + 0 + (1 - -2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -2  (b) -3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the second derivative of y**6\/10 - 3*y**5\/10 + y**4\/4 + 79*y. Factor r(x).\nAnswer: 3*x**2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-90)\/25 + 3\/(18\/30*5).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -30 in -0.1, 4\/7, -0.4, -2, -0.16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2900)\/754)\/(19\/(-76) + 10\/104)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 8 - (-6 - -28) - -4 - -3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 82412 and 1760.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -35 times -0.4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 120946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/66 and 6\/55.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6.29 + -1.29. What is the closest to 1\/2 in 8\/5, -1\/11, h?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 - 6 - 58*k**3 - 2.\nAnswer: -58*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the second derivative of -z**4\/6 + 909*z**2\/2 + 397*z. Let i(f) = 2*f**2. Give i(h(n)).\nAnswer: 8*n**4 - 7272*n**2 + 1652562","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 1 n when three letters picked without replacement from {n: 2, h: 17}?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.3, -1\/7, 2\/25, -12?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -204 divided by 4?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 124*k**2 - 4*k**3 - 1011*k - 1010*k + 3033*k - 1012*k.\nAnswer: -4*k**3 + 124*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-15)\/21)\/5 + (-16)\/((-560)\/(-15)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/10 and 44\/185?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*p**3 + 0*p + 0*p + (0*p + 0*p - p**3)*(3 - 4 - 6))*(2 + 1 - 4*p - 1) - 3*p**4 + 4*p**4 + p**4.\nAnswer: -38*p**4 + 20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6\/(-9 + (-584)\/(-80) + 8\/40). Let m(l) = 3*l**3 + 4*l**2 + 2*l - 2. Let g(b) = -b**3 + b + 1. Let x(c) = 2*g(c) + m(c). Determine x(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -1, -2, 1\/5 in increasing order.\nAnswer: -2, -1, -0.2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -24298*p*v*z**3 - 5*p*v*z - v*z**3 + 34*v*z - 4*v + 3*z wrt z.\nAnswer: -145788*p*v*z - 6*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -530*r - 550*r + 1020*r.\nAnswer: -60*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (58 - (10 + 2 - 16 - 3))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 + -1. Let q = -1 - g. What is the nearest to -1 in 0.5, -2\/5, q?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the first derivative of 6*h**7\/7 + h**6\/3 - 34*h**5\/5 - 35*h**3 - h**2 - 5131. What is the third derivative of a(d) wrt d?\nAnswer: 720*d**3 + 120*d**2 - 816*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 147*i = -2306 - 593 - 482 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -1544824, 4 in ascending order.\nAnswer: -1544824, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -48443 + 48443 - 706*b to u*b + x and give u.\nAnswer: -706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-9)\/(-6))\/((-12)\/64*-4). Suppose -p = -4*b + 5, 6 = 4*p + n*b - 10. Solve r + 2*r = -p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**2 + 33*f + 192. Let m be o(38). Which is the smallest value?  (a) -9  (b) -0.5  (c) m  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6403 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 8) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 108 and 3468.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 3*u + 7 = -3, 2 = 5*x + 4*u. Suppose -3*b - 4*n = -x*n - 218, 2*b - 162 = 2*n. Calculate the greatest common divisor of b and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 12\/(-5)*((-27600)\/36)\/23. Solve j - 86 = -3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5a4 (base 14) to base 8\nAnswer: 2144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f + 1. Suppose 1 = -5*t - 3*v - 6, -v + 1 = 0. Let r be g(t). Is -2 + (36*r - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 235711 is divided by 33663?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**(2\/5))**(13\/4))**(-3\/5))**(-45) assuming o is positive.\nAnswer: o**(351\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 470118 divided by -1122?\nAnswer: -419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the third derivative of h**8\/840 + h**7\/21 + 41*h**6\/100 + 167*h**5\/150 - 22*h**4\/15 - 76*h**3\/5 + 425*h**2 - 2. What is p in i(p) = 0?\nAnswer: -19, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -81\/85348 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5510999060.\nAnswer: 2, 5, 7, 449, 87671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 230541902?\nAnswer: 2, 359, 547, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1006858?\nAnswer: 2, 479, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate c**4 + 1411*c**3 + 17239.\nAnswer: 4*c**3 + 4233*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*40\/(-8160)*85.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.08 * -878.875.\nAnswer: -70.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 471749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -205151402 (base 6) to base 5\nAnswer: -1410412010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**3 + 6*k**2 + 5*k + 1. Let s be y(-4). Let i = s - 10. List the prime factors of i\/(-9)*15*-3.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 10 = -2*r + 5*r, 5*i = -5. Let a = 5 + r. Is 270\/a + (-8)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.4?  (a) 2\/5  (b) 2  (c) -784  (d) 10  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 57880985 to the power of 1\/2, to the nearest integer?\nAnswer: 7608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**2 + 2*b + 3. Let r be k(-2). Suppose -4*l + 4*h + 356 = 0, 0*l - r*l + 273 = 3*h. What is the greatest common divisor of l and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(360)\/(sqrt(1152) - (-2*sqrt(1152) - sqrt(1152))) + 3.\nAnswer: sqrt(5)\/16 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 22*f**2*o**3*z + 155*f**2*o - 5*f**2 - 766*f*o*z - 7*f + 5022593*o**2*z + 2*o*z wrt o.\nAnswer: 132*f**2*o*z + 10045186*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yfy when three letters picked without replacement from {f: 2, y: 5}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 + -4 - -3) + (0 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (27 + -13 - 33 - -30) + 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a - 1. Let u(j) = -143*j + 6. Calculate -6*o(f) - u(f).\nAnswer: 137*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 553 = p, -2*t = -6*t - 2*p + 2212. Suppose 252 = 5*q - t. Suppose q = -6*w + 7*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -76780 and -1.\nAnswer: -76781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -0.057, -267 in ascending order.\nAnswer: -267, -6, -0.057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 1768*k**2 - 277*k + 1. Let a(u) = -5306*u**2 + 830*u - 3. Let c(i) = 6*a(i) + 17*z(i). What is the second derivative of c(x) wrt x?\nAnswer: -3560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*g*n**3*q + 2*g*n**2*q**3 + 2*g*n**2*q - 2*g*n**2 + 14875668*n**3*q**2 + n**3*q - 19*n**2*q + 3*n**2 + 96*n*q wrt q?\nAnswer: 12*g*n**2*q + 29751336*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19 - -119. Calculate the lowest common multiple of 4 and g.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 3*w = -145. What is the remainder when w is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 5 = 4*c - 1, 2*c - 6 = -2*t. Does 19 divide 7 + 660\/t - (-2 + 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g. Suppose v - 4*r = -4, -r - 3*r - 12 = v. Let n = v + 8. Calculate s(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 - (15 + -29 - (-1 + -6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 78859 and 15391843?\nAnswer: 169310273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r**3 - 2*r**2 + 2*r**2)*(-4 + 4 + 2) + 120*r**2 + 5 - 123*r**2 - 7 - 5*r**3.\nAnswer: -3*r**3 - 3*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.1984 - -2.0636. Let j = r + -2.27711. What is j rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*q - n + 0 - 9 = 41*q, 4*q - n + 9 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1*(4 + 1 + (3 - 5)). Let o be q*2*54\/(-81). Solve 0 = 4*x - o*n, 3*n - n = x + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 66*w - 785. What is the smallest common multiple of 328 and d(15)?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 367.414 kilometers?\nAnswer: 367414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11372, -11022, -10456, -9686, -8724, -7582, -6272, -4806?\nAnswer: -3196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 8 = -m + h, 3 = m + h. Put m, 2\/9, 1 in decreasing order.\nAnswer: m, 1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24290 is divided by 191.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 246271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 489 - 0 - 0*(-5 + 4).\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -4, 331353, 2 in decreasing order.\nAnswer: 331353, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.138, 1\/62, 16, 9\/17?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 31 = 1. Let o = -3 - f. Let s(l) = -l + 8. Does 2 divide s(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 9, f: 1, u: 6, g: 2, w: 1}. Give prob of sequence fubb.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**2 - 17. Let f(x) = -x**2 + 17. Let t(b) = 5*f(b) + 4*w(b). Let g(p) be the first derivative of t(p). Let h(m) = -2*m - 13. Determine g(h(v)).\nAnswer: 4*v + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1616*k + 554 = -1062 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand i**2 - i**2 + i**5 + 25*i**5 - 2*i**5 - 4*i**5 + i**5 - i**2 + i**2 + (i**2 + 4*i**2 - 4*i**2)*(2*i**2 - 2*i**3 - 2*i**2).\nAnswer: 19*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that 3*k**3 + 140077932*k**2 + 1635152532938880*k + 6540607890508800 = 0.\nAnswer: -23346320, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 28*z**2 - 60*z - 18. Let y(j) = -28*j**2 + 41*j + 13. Let m(n) = -2*p(n) - 3*y(n). Give m(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g - 2. Let h(d) = -d**2. What is 2*h(n) - y(n)?\nAnswer: -2*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1067\/38 - 79193\/228. Let y = -280485\/4 + 69767. Let h = y - d. Calculate the common denominator of -6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (-8 - -10) + -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5\/9 + 2\/9. Suppose 3*b + 4*g = 6 + 5, -b - 9 = -5*g. Which is smaller: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -4*n - 5. Let x(y) be the first derivative of -3*y**2 - 8*y + 6. What is -8*p(m) + 5*x(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (37\/4 - 8)*-8.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 2*r**2 - 16*r - 2. Let k be b(8). Let a(d) = 6*d**2 - 6*d - 2. Is a(k) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 265789 - 0?\nAnswer: 265789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ceeaaamcu. Give prob of sequence ca.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of 275\/55*(-7)\/10*104\/286*11?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -100 + 112. Suppose 0 = -2*b + 3 + 5. Calculate the smallest common multiple of b and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = l + 2*v, 3*v - 2*v + 5 = 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((4*(-1 + sqrt(3)))**2 - sqrt(3)).\nAnswer: -256 + 132*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**3 + 2*g**2 + 2*g + 37. Let s be d(0). Suppose -s*x = -38*x + 5. Solve -2*q - 13 = -x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -211 - -211.032. Round o to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**3 - 5*l**2 - 4*l - 6. Suppose -n + 4*k - 129 = 0, -n + 2*k = -5*n - 570. Let s = -145 - n. Calculate z(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**3 - 2*q**2 - q + 2. Let k = 12 - 14. Let t be (3\/k)\/(1\/2). List the prime factors of n(t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*h + 0 + 0)*(-70 - 76 + 56)*(h - h**3 - h) as t*h + j*h**3 + g + i*h**2 + c*h**4 and give c.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 divided by 475852.\nAnswer: -15\/475852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**3 + 5*k**2 + 6*k + 6. Let s be i(6). Suppose s*f - v - 11 = 2*f, -4*f + 14 = -2*v. Let q(r) = 0*r + f - 1 + 2*r + r. Determine q(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14\/155 + -3902\/2015. Let g = -135\/52 - j. What is the second smallest value in g, 0.18, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1163252, 2326491, 3489714, 4652927, 5816136, 6979347, 8142566?\n\"Answer: j**3 - 14*j**2 + 1163274*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:03 PM and 12:07 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17)\/5*((-1548)\/(-54) - 27)?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -60*m**3 - 72*m**2 + 72*m. Let u(h) = -h**3 - h**2 + h. Calculate s(t) - 72*u(t).\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -279, -578, -895, -1230, -1583, -1954?\nAnswer: -2343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w + 5*t = -24, -31*t = -32*t - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:48 PM and 11:13 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.464574 nanoseconds to minutes.\nAnswer: 0.0000000001077429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-4)\/6)\/(28\/(-1381926)*13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 + -1 + 4 - 4. Let w(v) = -v**2 + v + 1. Let x(p) = -48*p**2 + 7*p + 5. Let l(a) = 6*w(a) - x(a). List the prime factors of l(j).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 126.07 - 126. Which is the closest to 0?  (a) 2\/7  (b) 0.4  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 323775868 to the power of 1\/4, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.476961 millimeters to centimeters.\nAnswer: 0.0476961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 1122*t + 16. Let n(i) = -374*i - 5. Let l(c) = 17*n(c) + 6*q(c). Let s(w) = w**2 + 9*w - 108. Let r be s(7). Is l(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 2 + 0)*(35 + 71*x - 89 + 54) to the form g + b*x and give b.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02017588 rounded to three decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5076792 and 3822.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 4 + 37 = 0. Let v = 48 + s. Suppose -11*g + 17*g - 30 = 0. Calculate the highest common factor of g and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000201315145 rounded to seven decimal places?\nAnswer: -0.0002013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 10, t: 4}. Give prob of sequence uu.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -71*y**4 + 0*y + 0*y**2 + 2*y**2 - y**3 + 7*y + 52*y**4 + 35*y**4 to the form f*y**4 + d + r*y**3 + u*y**2 + k*y and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*p**3 + 2*p**3 + 2*p**3)*(1206*p**2 - 251*p**2 - 309*p**2) + 5*p**2 + p**5 - 5*p**2.\nAnswer: 647*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 268772120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffffoofoffo. What is prob of sequence ff?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjhjjjjhjjjjhj. What is prob of picking 2 h?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2*-1*(-13 - 8040\/16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rdd when three letters picked without replacement from {r: 8, d: 5}.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 168776 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7726918?\nAnswer: 2, 229, 16871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-2\/5))**10\/((i*i**(-13)*i*i)\/(i*i\/i**2)) assuming i is positive.\nAnswer: i**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*v + 18*v = -752. Let m be 2708\/5 + (-10)\/(-25). Let q = m + v. What is q rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 30, 12423, 0.3.\nAnswer: 0.3, 30, 12423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6)\/10 - (-2628)\/30. Let g = j - 58. Calculate the remainder when g is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/1464 and -155\/16728.\nAnswer: 1020408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/6 - ((2034\/108 - 10) + 9)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (172 - (-9)\/3)*1. Suppose 4*k = -k + w. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1.7, -3625, 2\/7, -2, -5 in descending order.\nAnswer: 2\/7, -1.7, -2, -5, -3625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**3 - 4*y**2 - 10*y + 21. Determine h(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3056876501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -56a2822 - -5?\nAnswer: -56a2818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 - -2. Let j = -19253\/35 + 550. Let u = 111\/70 + j. Does u = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -102*d + 5. Let j(x) = 101*x - 4. Calculate 5*h(i) + 6*j(i).\nAnswer: 96*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-5)\/(-3) - 2\/(-6). Let y(q) = 2 + 4 + q + q**h + 0. Is y(0) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7309797\/363580 + 6864\/343. What is the common denominator of 47\/954 and c?\nAnswer: 9540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n + 3 - 3)*(-295 - 130*n + 254 + 81).\nAnswer: 130*n**2 - 40*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**3 + 15*n**2 + 30*n - 11. Let p be l(17). Let j = 83 + p. Suppose -5*x - 3*r = -21, 5*x + 11 = 6*x + j*r. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 58 = -3*r, 4*r = -3*h + r + 162. Let p = 18 + h. Suppose -4*k = 5*w - 270, -k - 8*w = -4*w - p. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(65)\/(sqrt(5)*-1) + -1*(3 + sqrt(13)))**2.\nAnswer: 12*sqrt(13) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 + 15 = -18*z. Let j(s) = -s**3 - 4*s**2 - 7*s - 2. Let i be j(-2). Suppose -2*o - i*w = w + 22, -3*o + 3*w = -9. Put o, 7, z, -3 in decreasing order.\nAnswer: 7, o, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 56 and 25186224.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5\/81, 1\/5, -3\/2, -0.05 in decreasing order.\nAnswer: 1\/5, 5\/81, -0.05, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -306151\/31 - -9877. Let c = 1009\/279 + n. What is the common denominator of 4\/5 and c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 192732320 and 7227462?\nAnswer: 578196960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -6*w - 9. Let i be x(-2). Solve -4*r + 14 = -2*a, -i*r + 18 = 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -17 - (-57 + (13 - -16))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -57b1 (base 16) to base 3.\nAnswer: -1010210110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -7*d. Let o(f) be the first derivative of -3*f**2\/2 - 4. Give o(c(s)).\nAnswer: 21*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3026*c = -3005*c + 384 - 90 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -2*l + 5. Let u = 16 - 13. Let k(n) be the third derivative of 0 + 0*n + 2*n**2 + 1\/4*n**4 - 7\/3*n**u. Calculate 17*g(z) + 6*k(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8 in -1, 10, -6, -0.5, -3657?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*j - 3 + 4 - 3)*(60*j**2 - 62*j**2 - 8*j - 2*j).\nAnswer: -6*j**3 - 26*j**2 + 20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 444\/33 - (-198)\/363. Let u = -78 + 190. Calculate the greatest common factor of u and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 38\/21973 and -85\/352.\nAnswer: 7734496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -7 + 6 + (-1)\/((-3)\/360). Suppose 4*r - 13 = a. Calculate the greatest common divisor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -270*i + 3*i**2 - 233*i + 441*i - 8*i**2 + 62*i.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1572436504, 1572436506, 1572436508, 1572436510?\nAnswer: 1572436512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes before 6:57 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -75.71 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f - 4*f + 0*f)*((-3*f + 0*f + 5*f)*(13*f - 26*f + 0*f) - 90*f**2 - 5296 + 5296).\nAnswer: 232*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*c**2 + 153*c - 9324 - 4*c**2 + 9322)*(-c + 2*c - 3*c).\nAnswer: 2*c**3 - 306*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 8*a = 0. Suppose a = 6*x - 4*x. Is 1\/29 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12 + -2. Let m = i + 20. Calculate the remainder when 10 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z - 0*z + 4*f, -10 = -z + f. Solve 0 = -3*k + 5*y + 25, 2*k = z*y - y + 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, 2.75, 164.\nAnswer: 2.75, 19, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**3 - 11*u**2 - 11*u - 8. Let z be p(-10). Suppose -4*l + 24 = y, -y + 4*l + 12 = z*l. Solve -q = 3*d + 4, 3*d = 4*q + q - y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -98*w + 3. Let h(l) = 11*l**2 - 10*l**2 + 8 - 8. Determine v(h(z)).\nAnswer: -98*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxxxxiixxx. What is prob of sequence xxii?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -89 + -3 + 5 + (29 + -24 - 1).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*q - 5*q + 43 - 39 = -10*c + 28*c, 8 = -2*c for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.5 + -2.3. Let c = -3.01 - j. Let d = c + 0.209987. Round d to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - -9 - (26 - 68 - -21)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1653)\/(-114) - 10)*4\/81.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1322478\/(-711) + 0 + -3. Let q = 1863 + t. Let u = 87\/316 + q. Sort u, 0, -0.4.\nAnswer: -0.4, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/9 in 3, -3564, -5, 0.3, -7\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 150*u**5 + 3461*u**3 - 3461*u**3 + (4*u - 3*u + 0*u)*(3*u**3 - 2*u**4 - 3*u**3).\nAnswer: 148*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttthntnthnnttt. What is prob of sequence tt?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1999*a + 997*a + 1000*a = 5*t - 38, -506 = -85*t - 0*a + a for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-15)\/(-1575) - 675159\/(-21105)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Do -17690746 and -17690745 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -7149 - ((-4)\/14 - (-38)\/(-14)). Let x = -10882 - q. List the prime factors of x\/(-34) + (-2)\/(-17).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = u - 12, -2*b - 4*u + 7 = -13. Let h be 6\/b - (4 + -2). Sort 3, 4, h in ascending order.\nAnswer: h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and 585.59.\nAnswer: 585.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0, 2\/9, 5, 3, 31, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**3 + 3*h**2 - 2*h - 6. Let r be s(-4). Let p = r + -40. Let k = p - 19. Round k to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 15*h*s**2*v - 3*h*s**2 + 758*h*s*v - 3*h*v - 7*h - 2*s**2*v - 153*s**2 - 2*s - 2 wrt s?\nAnswer: 30*h*v - 6*h - 4*v - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -288000 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, -113, -681, 3.\nAnswer: -681, -113, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let 324*v**5 + 14381820*v**4 - 81509436*v**3 - 91097196*v**2 - 31431032*v - 3551520 = 0. Calculate v.\nAnswer: -44394, -1\/3, 20\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 965 is divided by 469.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -3*a**3 - a**2 - 37*a + 1. Let y(x) = -7*x**3 - 2*x**2 - 75*x. Let n(p) = 9*q(p) - 4*y(p). Let z be n(6). Let l(t) = -t - 20. Give l(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 8339620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 205*z**2 + 17*z - 143. Determine k(4).\nAnswer: 3205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 5 - 15)*(-742*i**4 + 1722*i**4 - 602*i**4) as q*i**2 + s*i**3 + d*i + r*i**4 + g and give r.\nAnswer: -5292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-1) + 1 - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7068 and 4092.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - (-36)\/(-12))\/(49\/(-1421)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -27 + 30. Suppose -i = -4*s - 6*i + 149, 0 = -r*s + 5*i + 103. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -48\/77 in 1\/3, 12, 0.16, -5?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1891 and 24428?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -57 - ((27 - -20) + -19 + 6)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 663 + 322?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02 + -0.034204?\nAnswer: -0.054204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 132 + (-4 - -4) + -3. Let o = t - 75. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -4*t - 2. Suppose 2*p - 11 = -s, 4*s - s + 22 = t*p. Suppose -5*w + 17 = 4*z, p*w = 2*z + 1 - 2. Solve k = -z*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 35977556.91 to the nearest one million.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 12 = -4*p, 3*o = -p - 0*o + 14. Solve -3*s = -p*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - ((-1 - (-9 + 10)) + 35)) + 7?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the first derivative of -122\/3*k**3 - 1\/4*k**4 + 130 + 0*k**2 + 7\/5*k**5 + 0*k. Find the third derivative of t(s) wrt s.\nAnswer: 168*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m*m**4\/m)*m**6*m**3\/(m*m\/((m\/(m*m**5\/m)*m)\/m)))\/(m**(-6)\/m**(3\/4))**(-16\/11) assuming m is positive.\nAnswer: m**(-108\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -4*d**2 - 1. Let g(t) = -135*t**2 + 5*t - 9. Give -2*g(n) + 18*m(n).\nAnswer: 198*n**2 - 10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f and 1 g when four letters picked without replacement from {g: 4, o: 4, f: 3}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-135)\/4*(6\/45*-6)\/(186\/(-620)).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33 and 5101734.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uukuuuukuuuuuuuuuuu. What is prob of picking 2 k?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 26*t**3 + 14*t. Let j(r) be the third derivative of 0 + 0*r**5 + 0*r**3 + 3\/40*r**6 - 8*r**2 + 0*r + 5\/24*r**4. What is -14*j(v) + 5*z(v)?\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -44.8 and 3?\nAnswer: -134.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(121)*-5 - sqrt(121)) + 3*(sqrt(121)*-1 - sqrt(121)))\/(sqrt(1331)*1 - (sqrt(11) - (sqrt(176)*1 - sqrt(176)))) + 3.\nAnswer: 3*sqrt(11)\/10 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 230 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5760 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 21*u**2 - 8*u + 68. Is c(15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3 + 5 + 4 + -3169)*-7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -435870 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 12589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4, -0.1, -4, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 5*5626\/1595 - 16\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -346 - -543. Let k = s + -197.0000103. What is k rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1487131386?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 474, -58, -56, 1, 3, 2\/7, -4?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**3 + 603*h**2 + 15042*h + 3768. Calculate j(627).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8\/99 - 28\/99. Let o(z) = -3*z**2 - 7*z - 1. Let t be o(-2). Which is smaller: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that 6*c**5 - 4324*c**4 + 54018*c**3 - 148788*c**2 + 76464*c = 0.\nAnswer: 0, 2\/3, 3, 9, 708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4055560*w**4 - 3*w**2 + w - 114676154 wrt w.\nAnswer: -16222240*w**3 - 6*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h + 2. Suppose -2*m + 2*s + 14 = 0, -3*m + s = -6*m + 9. Suppose x - 2*x - m = 0. Determine n(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.8492 + -1.1492. Which is the nearest to 0.7?  (a) i  (b) 18  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7256 + 7256.0122118. What is i rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + 8 = -7*o. Let j be 18\/8*o\/(-3). List the prime factors of (5 + 4\/(-2))*j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4138727909?\nAnswer: 4138727909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -4320.7 times 1?\nAnswer: -4320.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3136 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1481500?\nAnswer: 2, 5, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:57 PM and 9:45 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -3012*w**2 - 3169*w**2 + 6178*w**2 + 35*w + 1. Let k(s) = -7*s**2 + 70*s + 3. What is 5*g(o) - 2*k(o)?\nAnswer: -o**2 + 35*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2)\/(-2) - -3)\/((-21)\/(-42)). Let k(q) = q**3 - 8*q**2 - 4*q - 8. Determine k(c).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 5*m = 473, 4*d + 5*m - 7*m - 938 = 0. Calculate the highest common divisor of d and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 282 is divided by 61?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d - 3. Let a be p(5). Suppose -3*o + a + 10 = 0. Solve -y = -o*g - 2*y + 8, y + 10 = 5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5362501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 12\/4330943?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the second derivative of -u**9\/3780 - u**8\/336 - 2*u**7\/315 + u**4\/6 + 29*u**3\/6 + 15*u - 4. Let l(v) be the third derivative of o(v). Factor l(t).\nAnswer: -4*t**2*(t + 1)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -334 + 340. Let b(i) be the first derivative of -i**3 + 0*i + 0*i**4 - 11 + 0*i**5 + 0*i**2 + 4\/3*i**l. Find the third derivative of b(r) wrt r.\nAnswer: 480*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.018 and 0.21?\nAnswer: -0.00378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6158147 is divided by 1411.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 29*d**3 + 9*d**2 + 8*d. Let j(x) = 7*x**3 + 2*x**2 + 2*x. Determine 9*j(g) - 2*m(g).\nAnswer: 5*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -937782*f**2*p + 1243*f*p + 2*p - 39 wrt f.\nAnswer: -1875564*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 146 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: What is ((-435)\/(-6815))\/(67\/107066)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2550422?\nAnswer: 2, 7, 67, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1317616, -1317609, -1317602?\nAnswer: -1317595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5461 is divided by 1698.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 348 and 643278.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the second derivative of -z**5\/60 + z**4\/12 + 3*z**2\/2 - 3*z. Let t(p) be the first derivative of c(p). What is the second derivative of t(b) wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 4*s + 17, 8 = 2*l - 2*s - 8. Suppose -2*a = -0*z - 3*z - 4, 5*a - 10 = -2*z. Solve l*c + v - 22 = 0, c - 2*c + 5*v + 20 = z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - 4*f + 25673, -32772 + 7104 = -r - 5*f. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f + 10 - 34 = 0. Suppose f*t - 105 = 3*d + 42, -48 = -t + 3*d. Let m(g) = -4*g - 7. Let z be m(-10). Is t at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -33*o + 59. Let p be ((-12)\/2)\/3 - 3. Let n(d) = 16*d - 29. Let v(h) = p*n(h) - 3*w(h). Differentiate v(x) wrt x.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 10, s: 10}. Give prob of picking 2 s and 2 l.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39 - 91*b**2 + 8*b**2 + 37*b**2 + 29*b + 42*b**2 + 39.\nAnswer: -4*b**2 + 29*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 + 11. Suppose -3*v = 2*b - 15, -4*b + 0 + 24 = 4*v. Suppose -11 = -b*z - m. What is the lowest common multiple of 16 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 + 5135?\nAnswer: 5132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -21*r - 211961 + 33251. Round r to the nearest one hundred.\nAnswer: -8500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110100110001101010000 + 10?\nAnswer: 110100110001101010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16382081, -16382087, -16382093, -16382099, -16382105, -16382111?\nAnswer: -16382117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 6 - 43*h**3 - 1.\nAnswer: -43*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1513341, 1513334, 1513323, 1513308?\n\"Answer: -2*y**2 - y + 1513344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 18 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6978?\nAnswer: 2, 3, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, 4, 1\/65, -1\/5, 0.5, -0.3 in descending order.\nAnswer: 4, 0.5, 1\/4, 1\/65, -1\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) + -1)*2 + 0.\nAnswer: -2 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2041 - 2037. Let f be 0 - 1\/(-1 - 0). Which is smaller: f or y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 107875 divided by 5.\nAnswer: 21575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 2*u**3 + 9*u**2 + 5*u + 3. Suppose 0 = -c + 5, 2*i - c + 11 = -0*c. Let d be f(i). Calculate the greatest common divisor of d and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7.59076825 - 289464.66726825. Let n = -289770 - h. Let a = 313 + n. What is a rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -75 divided by -63?\nAnswer: 25\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3673327 and 77?\nAnswer: 40406597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10436, -10489, -45362, -94183?\nAnswer: -156952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21442 = -2365*z + 613*z - 43382 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 585 = -18*k. What is the remainder when 88 is divided by k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 736 + -818 + 4 + 68 + 2 + (0 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 755.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -2, 4, -5, 125 in decreasing order.\nAnswer: 125, 4, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(108) + 6*sqrt(108)*1.\nAnswer: 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*l + 156 = 3*o, -2*l = 250*o - 254*o - 32 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - l + 3*l + 13, 4*l = 2*f + 10. Let g be ((-5)\/f)\/((-4)\/(-12)). Does 7 divide -2*g\/(10\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 34 - 31. Solve 3*b - 3*b + 0*b**3 + b**2 + b**r = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -29*x**6 + 28*x**5 + x**3 + 690136*x**2 wrt x.\nAnswer: -3480*x**3 + 1680*x**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 <= -354659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 4*o + 8 + 0 = 0, 4*k + 3*o = 12. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 822 = -u - 63, -2*u + 756 = -o. What is o rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 11897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 5*q. Let d be q + 7 + -3 + 5. Suppose 4*s = -5*y + 42, -2*s + 6 = -d*y + 4*y. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 4*n = 20, -3*h + 20 = -0*n - 4*n. Put h, -2, -1, 12 in increasing order.\nAnswer: -2, -1, h, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6684 is divided by 155.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 43 + -5 + (-22 + (40 - 8) - -12)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3446*j**3 - 13823*j**3 + 3021*j**3 + 3849*j**3.\nAnswer: -3507*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 791678 is divided by 197906.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 3*f**2. Let o(h) = -23132668*h. Give n(o(p)).\nAnswer: 1605360986394672*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.1977 + -0.1977. Which is the second biggest value?  (a) -1  (b) -2\/5  (c) 3.2  (d) -10  (e) m\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s**(-2\/5)*s))**(-28)\/(s**9\/s**(-3))*s*s*(s*(s**(-2\/35)*s)\/s)\/s*s*s\/(s**(1\/6)\/s)*(s\/(s**(-1\/2)*s))\/s*s**(-5\/6)*s*s assuming s is positive.\nAnswer: s**(-1243\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = 2*j - 10, 4*j = -5*p + 6 + 14. Sort j, -5, 2 in ascending order.\nAnswer: -5, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -88 + 286. Calculate the highest common factor of 18 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -152*v + 150*v. Let r = 5 + -8. Which is the biggest value?  (a) -4  (b) v  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the first derivative of 3\/2*t**2 + 1 + 62*t. Does 3 divide d(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*2.135368.\nAnswer: 6.406104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (1 - 510\/65).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 4*u - 6. Let f(z) = 9*z - 13. Let c(a) = 3*f(a) - 7*j(a). Let t = 2 - -4. Calculate c(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 889817*z + 1956. Let n(x) = -6371*x - 14. Give -978*n(p) - 7*s(p).\nAnswer: 2119*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -x**3 + 98*x**2 - 2*x + 419?\nAnswer: -6*x + 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -13*l**2 - 2. Let j(m) = 4*m**2. Determine s(j(f)).\nAnswer: -208*f**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 2 d when three letters picked without replacement from dfdfddfdddfddd.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -3 - 4*q + 7 - 10*q**2 - 7*q**2 + 12*q**2. Let x(t) = t**2 + t - 1. What is l(f) + 4*x(f)?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -4*c**3 - 6*c**2 - 5*c + 4. Let r be d(-3). Let q = r + 10. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -328 - -1638\/5. Which is the closest to v?  (a) -5  (b) -4\/9  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gfu when three letters picked without replacement from gfgfffuzfbffufff.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2155 is divided by 265?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the third derivative of d**10\/15120 - d**9\/7560 - d**8\/3360 + d**7\/1260 + d**4\/8 - 2*d**2. Let c(u) be the second derivative of v(u). Factor c(l).\nAnswer: 2*l**2*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 5*g = 2*p - 38, 0 = -2*p. Let b be 43\/9 + (480\/108)\/20. Suppose -4*r = -3*k + 209, -1 = -b*r + 4. Calculate the remainder when k is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 11442757?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**2 + 3*s - 8. Let n(y) = y**2 - 3*y - 3. Let k be n(-1). Let z = 7 - k. Calculate the remainder when x(-9) is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10 + 14. Suppose z*t - 23 = 49. Let r = t - 17. Sort -4, -3, r in descending order.\nAnswer: r, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20 + 1 + (-78 - -82) - (1 - 0)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.01 - -0.21. What is the nearest to v in 3, 0.5, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v**3\/v)*v\/v**(6\/7))**(-33) assuming v is positive.\nAnswer: v**(198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -10678284 (base 9) in base 4?\nAnswer: -103302322030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 87\/21896 and -95\/16238?\nAnswer: 7729288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 + 83. What are the prime factors of f?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -33415 (base 6) to base 13\nAnswer: -219b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 4*u - 60. Suppose 0 = 7*z - 3*z - u. Suppose 0 = z*x + 4*l - 13, 6*l - 5*l + 14 = 5*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*z**3\/2 - 24981*z**2\/2 + 199560*z - 797856.\nAnswer: 3*(z - 8311)*(z - 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 256 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -13603 (base 15) in base 8?\nAnswer: -171227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -55 divided by -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9827 in 0.2, -0.3, -1\/48, 3\/8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(4 + -1*((-2 + sqrt(75))*5 + (-5 + -2*sqrt(3) + sqrt(3))**2 + sqrt(3) + (-1*sqrt(432))**2)).\nAnswer: 216*sqrt(3) + 2676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -27 + 31. Suppose o - 5*k + 31 = i*o, 61 = 5*o - k. Suppose -o = -4*s + 4. Solve 4*w + 0 = 3*v - 3, 0 = -4*v - s*w - 24 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 223, 380, 421, 292, -61?\nAnswer: -692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 125245 and 1835385?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1391845 (base 11) to base 16\nAnswer: 24735f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 14)*(-3*i**2 + 5*i**2 + 0*i**2).\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 1030959\/1539 + 2\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5775, 2, -26 in descending order.\nAnswer: 2, -26, -5775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d - 4 - 1. Suppose -6*c = -d*c - 3. Suppose i = -4 + 6. Solve i*v - 20 = 4*o, -c*o + v - 20 = -5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 3 - 5 + (1 - 1 - 6)*(1 + 4 - 3))*(0*l + 11*l - 20*l) in the form i*l + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 4, t: 10, s: 2}. Give prob of sequence tt.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.29954056 to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 46839 by -4.\nAnswer: -46839\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -5*p**2 + 5*p. Let c(g) = -11*g**2 + 10*g. Calculate 6*c(n) - 11*t(n).\nAnswer: -11*n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:19 PM and 2:41 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 93569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (54\/(-70))\/(5\/100*-12)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 - 6*h**2 + 2*h + 2. Determine o(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1553 is divided by 195?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*s + 4*u + 24, 111*s - 108*s - 4*u = 15 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1660\/747 + 1239\/(-594)?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 2 z when four letters picked without replacement from {j: 14, z: 4}.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 5180805 a multiple of 1140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1048888744?\nAnswer: 2, 131111093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3039 - 926. Suppose -5*m + 5*o - 1405 = -3*m, -2*o = -3*m - b. Let i = -494 - m. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g + 11. Let b(f) = -46*f + 508. Let h be b(11). Let q(p) = -5. What is h*c(o) + 5*q(o)?\nAnswer: 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 6*((-70)\/21)\/((-48)\/(-18))*-4\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vataaxwtwaxaxsavwxx. Give prob of sequence wwta.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 1 z, and 1 k when three letters picked without replacement from ztbdk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 20c76 - 4?\nAnswer: 20c72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 216 + -215. Is w equal to -143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6617 + -132413\/20. What is the common denominator of 53\/2 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2bc7670 + -8?\nAnswer: -2bc7678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:43 AM and 12:06 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = -3*a + 11267 + 12721, -4*b = 12. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the first derivative of -s**5\/20 + s**4\/12 + s**2\/2 - s + 2. Let k(r) be the first derivative of b(r). Is k(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the first derivative of 3*z**2 - 6*z + 2. Let i(h) = -h**2 - 11*h + 12. Let k(u) = 5*d(u) + 2*i(u). Factor k(s).\nAnswer: -2*(s - 3)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**2 - 2*g - 1. Let i be q(-3). Suppose 0 = -f - 3*s + 7, -3*f - f + 2*s = i. Let u be 36\/(-15) - f\/5. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 349 divide 457205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j + 3*o + 13 = 0, -129*j - 2*o = -130*j - 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the first derivative of -4909*v**6\/6 - 5643*v**2 + 13565. Find the second derivative of a(i) wrt i.\nAnswer: -98180*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 978, 1447, 1928, 2427, 2950?\nAnswer: 3503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 24693802 or 24693806?\nAnswer: 24693806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -494*p + 91. Let u(c) = 2*c - 2 - 24*c + 5*c + 22*c + 6*c. What is 2*k(a) + 91*u(a)?\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u - 20*i + 24*i = 4, 2*u + 4*i = -4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-72*v**4 + 58*v**4 - 179*v**4)*(3 - 6 - 2) + (v**3 - 6*v**3 + 3*v**3)*(3*v + v - 6*v).\nAnswer: 969*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**3 - 14*z**2 + 2*z + 34. What is g(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2895870.\nAnswer: 2, 3, 5, 83, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 6686, 26797, 60378, 107471, 168118?\n\"Answer: 7*i**3 + 6693*i**2 - 17*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 224 + -224. Suppose -2*t + 100 = 3*t. Suppose -4*c = -3*g - t, -3*g - 6 = -c + 8. Solve f = -l + c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2712*j**2 + 4862*j**3 - 2712*j**2.\nAnswer: 4862*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*v + 80 = -4*v. Suppose 2*r + 17 = -t, 2*t + 4 = r + 5*t. Let o = r - -21. Calculate the lowest common multiple of v and o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2  (b) 0.053  (c) -3\/4  (d) 3.37  (e) -2  (f) -0.05  (g) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**2 + 2*q + 8. Let b(g) = 3*g**2 + 5*g + 17. Let d(r) = 2*b(r) - 5*i(r). Find the first derivative of d(y) wrt y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the third derivative of -g**4\/12 - g**3\/6 - 7*g**2 + g - 124. Let w(h) = -1. Let b(q) = -6. Let l(k) = b(k) - 5*w(k). Give -5*l(n) + 5*t(n).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36 = -c + 23978*w - 23970*w, -5*c + 0*w - 5*w - 135 = 0 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 21797336 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 89364 divided by -6?\nAnswer: -14894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15196, 31323, 47450, 63577, 79704, 95831?\nAnswer: 111958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**2 - 4*d + 55. Let f be r(0). Let x = f + -30. Suppose 2*u + 3*m = 4*m + 9, -4*m + 20 = 0. What is the remainder when x is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 7*p**2 - 1. Let l(k) = -k**3 - 3*k**2 + 2. Suppose 3*b + 19 = 5*r, -1 = -3*b - r - 8. Let w be l(b). Is 10 a factor of o(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r + 3*r - 356 = 0. Let l = 981\/11 + r. Which is the third smallest value?  (a) l  (b) -2\/3  (c) 4  (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c - 30406. Let b(l) = 325*l. Calculate m(b(d)).\nAnswer: 325*d - 30406","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -170 + 205. Let q be 2 + (-14)\/8 + y\/(-28). What is the third biggest value in q, -3, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - -2 - (-187 + 61) - (-2 - -1)?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -444 (base 5) in base 13?\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 115.0426 + -115. Let d = f - 0.069. What is d rounded to 3 decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the second derivative of -f**5\/60 - f**4\/36 + 2*f**3\/9 + 2*f**2\/3 - 2*f. Factor o(g).\nAnswer: -(g - 2)*(g + 1)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -222 + 113103?\nAnswer: 112221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (9 - (1 + -1)) + 704 + -673 - 12?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2 * 45801688\nAnswer: -91603376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -45\/1112 and 25\/5628?\nAnswer: 1564584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 623631347?\nAnswer: 19483, 32009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1344, -2843, -4338, -5829?\nAnswer: -7316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of 12 and 0.311154.\nAnswer: 12.311154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 6b4 - 4?\nAnswer: 6b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 526291.\nAnswer: 526291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**2 + 32*l - 60. Determine n(31).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1914883394?\nAnswer: 2, 127, 1861, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**2. Let l(w) = -1065*w**2 + 165*w + 165. Let q(p) = 13*p**2 - 2*p - 2. Let f(z) = -2*l(z) - 165*q(z). Calculate f(d(t)).\nAnswer: -15*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*x**2 - 1126 + 1126 + 7*x**2.\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 7.511124 decades?\nAnswer: 0.7511124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1, 32, 63, 94, 125?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 41760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 - (-8 + 8 + -3 + (5 - 1))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*c = 3*c + 70. Suppose 0 = o - 0*o - c. Let p be (3\/o)\/((-6)\/(-8)). Does 2 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 + 0. Suppose -c + 2 - 4 = 5*f, 0 = -4*f - c - o. Is f equal to -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -37133 and -1537 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/3, 1, 5\/36, 1\/4, 3\/2?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11)\/627*-19*(60\/1)\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, 3, -0.3, 4\/7 in increasing order.\nAnswer: -0.3, 4\/7, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 139 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 2 v when four letters picked without replacement from {t: 1, v: 2, f: 11}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - 116\/20 - 4\/(-6)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 76495 < 75525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 690 = -117348*m + 117378*m for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2\/7, -4, -0.5, -5, 2\/191, -51, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1967932645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/(-6) + 532\/8379*-462)*1*2?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6969 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that t**4 - 25*t**3 - 243*t**2 + 6237*t + 13230 = 0.\nAnswer: -15, -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sum -3224 and 5.\nAnswer: -3219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i + i + 3*i)*(-i**4 - 3*i**4 + 2*i**4) + 8*i + 58*i**5 - 4*i - 3*i.\nAnswer: 54*i**5 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 175 + 21 = -49*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9 and 13.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1735208191503 and -0.07.\nAnswer: 1735208191502.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -23*j + 16*j + 378. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -203*i + 13*i = -4180 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k - d - 11 = 0, 132*k - d + 4 = 130*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 110 - -10110220021020212?\nAnswer: 10110220021021022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 3*w**2 + 2*w + 29. What are the prime factors of k(0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes after 4:13 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3369.\nAnswer: 3, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 3*g**2 - 3. Let i(t) = 2*t - 3. Calculate the remainder when o(3) is divided by i(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -3*m - 2*v, m + 11 = 9*v - 8*v. Let t be 2\/(4\/3)*-2. Sort t, -4, m in decreasing order.\nAnswer: t, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19867294 less than -0.3?\nAnswer: 19867293.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 4*a - 5*a = -5, l = -5*a - 15. Let d(o) be the second derivative of o**4\/6 + o**3\/6 - o**2 + o. Let t be d(-2). Solve -6*g = -t*g + l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 88\/(-12)*-6*20\/8. Let o = 117 - 67. Calculate the highest common factor of v and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 6 + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k = -22*u - 64, 5445*u - 10892*u + 5451*u + 9 = 3*k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*b*p**3 + 91*b*p**2 - 10*b*p - 5747*p**3 wrt p.\nAnswer: -12*b - 34482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 917143568, 1834287137, 2751430706, 3668574275, 4585717844?\nAnswer: 5502861413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 37*-1*(0 + 1). Let h = -54 - v. Let l = 34 + h. What is the highest common divisor of l and 102?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 2*d = -125, 0 = -12*b + 8*b - 3*d + 478. Calculate the greatest common divisor of b and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3523785\/13 - 139986007\/520. Let f = -1857 + c. Calculate the common denominator of f and 109\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -10 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*c**2 + 67 - 1 - 74 + 5 + 3.\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 11*u - 6. Determine p(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - 7 - -1) + (-6 - -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + -6 + 6 + (-13 + (5 - -3) - 8).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**2 + 55*t - 158. Determine l(52).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 691757 divided by -243?\nAnswer: -691757\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*w**4 - 15912003*w**2 + 2*w**3 - 18*w + 15912003*w**2 as m*w**2 + q + h*w**3 + x*w**4 + r*w and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*l**2 - 2*l**2 - 13*l + 3*l**3 + 14*l in the form n + y*l**2 + r*l**3 + w*l and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 9) + 207 + -216.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - k - 137 = 4*l, k + 47 = -l. Let x = k - -53. Suppose q - 2*i + 7*i = 40, -x*q - 3*i + 45 = 0. Calculate the highest common divisor of 165 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 3525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 7, t: 3, j: 6, i: 3}. Give prob of picking 2 i.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 114 and 16473.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 95669361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Factor 285180*z**4 + 5988812*z**3 + 41922132*z**2 + 97821444*z + 10976.\nAnswer: 4*(z + 7)**3*(71295*z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*u - 2*d - 28, 1 = -5*u + 2*d + 62 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-7)\/(1155\/(-187)) + 6\/(-45). Is -1\/11025 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -108 = -2*j - 0*j. Let b = j - 34. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 116208 is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 5*g**3 - 11*g**2 + 3*g - 6. Calculate the remainder when 47 is divided by i(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49555124 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 p, and 1 g when three letters picked without replacement from ccgop?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m - 5 + 3. Let c(q) = 2*q**2 - q - 2. Calculate the least common multiple of 10 and c(m).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of ((-120)\/18)\/((-1)\/3) and -1*2*(-16 + 7)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5  (b) 2  (c) -2  (d) -51  (e) 0  (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -5786705 <= -14\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.6890468 milligrams?\nAnswer: 689.0468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**3 - 34*m**2 + 2*m + 67. Let a = 250 + -284. Let p be g(a). Is -2\/163 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 1\/3  (b) 0.3  (c) 2\/3  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 42*1.4\nAnswer: 58.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -3124811.8 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s + 11*g + 47 = 17, -4*s = 4*g + 24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(-1\/9)*u*u**6)**47)**(-34) assuming u is positive.\nAnswer: u**(-113458\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1897\/49 - (152 - 112)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.834312cm to kilometers.\nAnswer: 0.00006834312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1561975.\nAnswer: 5, 43, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -100429\/3 - -33811. Let o = q + -319. Calculate the common denominator of 37\/10 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes before 9:48 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2258919 to the nearest integer?\nAnswer: 1503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*q - 166*q**2 - 29*q - 268*q**2 - 515*q**2.\nAnswer: -949*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 150488100 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-850)\/(-85))\/(120\/228)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -32 by -12.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 43408308 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 1\/2, -55, -9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from gkwgptwt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p + 29. Suppose 4*n = 15 + 5. Let j be d(n). What is the greatest common factor of 32 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 98217 + -0.0532?\nAnswer: 98216.9468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 - -23. Suppose -6*y - 4*k = -2*y + 124, 0 = 4*k + u. Let n = y + 41. Is 0.1 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*s - 76 = 12*s. Let t = 8 - 3. What is the remainder when s is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**3 + 79*d**2 - 1338*d - 660. Determine j(54).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m - m. Let b(y) = m*y + y - 2*y**2 - y. Let q(t) be the first derivative of -29*t**3\/3 + 243. Calculate b(q(s)).\nAnswer: -1682*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 25986 and 483936.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from {q: 1, f: 1, r: 14}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 538070547 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the second derivative of -g**4\/2 - 11*g**3\/6 + 11*g**2\/2 + 6*g. Let y(c) = c**2 + 2*c - 2. Determine 11*y(i) + 2*z(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -5*o**3 - 7170*o**2 - 28620*o - 28600 = 0.\nAnswer: -1430, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 2\/9, -1\/17, -8\/7?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 + -20. Suppose 0 = 3*f + 12. Let j = f + 6. Sort -1, g, j in decreasing order.\nAnswer: j, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 204\/17 - ((-1647)\/189 + 24)\nAnswer: -23\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10 - -12. Solve -q*k + 25 = -5*l, -3*l - 15 = -3*k + 4*k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1489 is divided by 79?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -24586336 or -24586314?\nAnswer: -24586314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s - v = -63, -838*s = -836*s + 5*v + 36 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11\/10 - -3\/2. Let i be -6 - (18816\/30)\/(-8). Let h = 1433\/20 - i. Which is the closest to d?  (a) -4  (b) h  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 9*h - 8*h + 16 = 0, p - h - 7 = 0. Let j(o) = -11*o**2 + 8*o - 18. Calculate j(p).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 + -2 + -2094*2\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -23197413, -46394819, -69592223, -92789625, -115987025, -139184423?\n\"Answer: z**2 - 23197409*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -1403?\nAnswer: 4\/1403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1745213382 to the nearest integer?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 4*x**3 - 83*x**2 + 81*x - 412. Calculate a(20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that 147*u**5\/2 - 168*u**4 - 5121*u**3\/2 + 999*u**2 + 27216*u + 34992 = 0.\nAnswer: -3, -2, 36\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -22709347292.900485 + 22710363485.5. Let d = 1016196 - t. Let v = d + -3.4. What is v rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 37025 - 1326*x**3 - 37025 + 2*x to the form g*x**2 + n + u*x + z*x**3 and give z.\nAnswer: -1326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the second derivative of -473*m**3\/6 + 295*m + 2. Let x(k) = -k. Determine x(q(g)).\nAnswer: 473*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 29 = -3*c, -4*c - m = -3*c - 15. What is the remainder when c is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 4*t - 15. Let x be j(5). Let q = x - 0. Suppose 0 = -5*u - q*y + 2820, -343 = -2*u + 4*y + 797. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**2 - 3*j + 48. Let l(r) = -6*r**2 + 18*r - 280. Let s(y) = 6*l(y) + 35*t(y). Let n(c) = 22*c. Determine n(s(u)).\nAnswer: -22*u**2 + 66*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g**5 - 6*g**4 + 56*g**3 + 30*g**2 - 124*g + 48 = 0. What is g?\nAnswer: -4, -2, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 224\/(-105) + -1*(-4)\/30. Put u, -0.4, -2\/11, 300\/13 in decreasing order.\nAnswer: 300\/13, -2\/11, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 210*v**2 - 2157*v**2 + 1959*v**2.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -10*k**3 - 2*k**2 + 8*k - 9. Let w be m(4). Let h be (-12)\/48 - w\/4. Let f = h - 105. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8855386 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 238 = h + 6*u, 1190 = 5*h + u. Is 38 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -0*p. Suppose -5*c - 9 = 3*y - p*y, 5*c - 4*y - 12 = 0. Let l be (-162)\/(-9) - (c + 0). Solve l = -4*a + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1121 - 2?\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhhhfffhfhhhhhhfh. What is prob of sequence fhfh?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -3*h**2\/2 + 910677*h - 276444199443\/2 = 0?\nAnswer: 303559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48644979 is divided by 3243.\nAnswer: 3222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -30 in -73\/3, 8499, -2\/7?\nAnswer: -73\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -647 - -964. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-3\/4))**(-1\/28)*n\/(n\/n**(-2\/37))*n\/n**(-2\/5) assuming n is positive.\nAnswer: n**(28443\/20720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -2*p**2 + 7*p + 1. Let s(u) = -u**2 + 3*u. Let i(f) = 2*k(f) - 5*s(f). What is the least common multiple of i(3) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 513, 2050, 4611, 8196, 12805?\nAnswer: 18438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -7*i**3. Let s(k) = k**3. Suppose -6*w + 18 - 24 = 0. Calculate w*g(q) - 5*s(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (92\/276)\/((-1495)\/138)\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15215 - 15204. Solve -m = 3*l + o, 0 = -13*o + 15*o + 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 812973 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the first derivative of 5*h**3\/3 + 2*h**2 - 6*h + 5. Let w(n) = n**2 - 1. Let t(s) = d(s) - 6*w(s). Let k be t(0). Which is smaller: -4\/51 or k?\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/4  (b) -0.05  (c) 0.132\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(3*(sqrt(300) + 0) + -1*sqrt(300) + -4 + sqrt(300) + (-1*sqrt(300) - sqrt(300))**2 + 1 + (-2*sqrt(300) - sqrt(300))**2 + -5).\nAnswer: 180*sqrt(3) + 23352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 5*y = 0. Suppose 24 = -y*g + 3*g. Let o(d) = -2*d - 7. Calculate the remainder when o(-15) is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 7 = 3, -3*l + 4*d = 59. Let i be (l - -21) + (1 - -1). Suppose 136 = i*c - 14. Solve y = -4*y + c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27094 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: Expand -2 + 6*p**3 + 18*p**3 + 7*p**3 + (-2 + 2*p + 2)*(p + 2*p**2 - p) - p**3 + 3 - 3.\nAnswer: 34*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -6*x**3 - x**2 + 1. Let y(p) = 1060*p**3 + 3*p**2 - 4. Give -3*g(n) - y(n).\nAnswer: -1042*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 + 35*w**2 - 75*w - 43. Determine r(-37).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000058101 to 7 dps.\nAnswer: 0.0000581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*t - 3*t + 30*t**2 + t.\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n + 23 - 23 + 62*n**2. Let m be k(1). Suppose m = 2*y - 117. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 13 = -4*j, 0 = -4*h - 7 - 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 3032683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 a when two letters picked without replacement from {a: 1, d: 1, t: 7, n: 3}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes before 4:34 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -154*w**2\/5 + 302*w\/5 + 12\/5.\nAnswer: -2*(w - 2)*(77*w + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -84 + 86. Solve 1 + 7 = -q*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23778 divided by -23778?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gcg when three letters picked without replacement from cgccccccggg?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1201442473.\nAnswer: 7, 11, 15603149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s - 1. Let k = -9 - -15. Let q be (20\/6)\/(k\/(-9)). What is the units digit of f(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -14 + 8. Let y(c) = 6*c - 131 + 60 + 81. Let i be y(b). What is i rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -366693*v + 366696*v - a + 2*a = 153, -v - 3*a + 43 = 0 for v.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z - t - 12, 5*z + 2*t + t = -2. Suppose -3*v = -i - 5*v - 167994, -4*i = -z*v + 672006. Round i to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 400155*y**4 + y**2 - 2371124?\nAnswer: 1600620*y**3 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2872 - s**3 + 0*s**3 - 2*s + 2*s**2 - 2876 + s**4 to the form n*s + k*s**4 + w + i*s**3 + y*s**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*i + 9*i + 5 = 0. Let r be 7 + ((-75)\/i)\/5. Solve r*y + 8 + 12 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/151, -7.76, 1\/2, 0.02, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 1 b, and 1 j when three letters picked without replacement from jbsjsjbjbbjjssj?\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*z**3 + 2568414*z - 2568414*z - 8*z**3.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*p = -5*p. Is p at least -1\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*w - 114 = 46 + 56. Suppose -3*m = -m - 16. Solve -l + 3*t + m = 0, t = 2*l - 4*t - w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -2*a**2 - 56*a - 276. Calculate j(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 98160 to the power of 1\/2, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -31 + 36. Suppose 5*v - v = -j*u + 196, -4*u = 2*v - 98. Calculate the remainder when 391 is divided by v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15192834193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 6, -0.4, 309\/16?\nAnswer: 309\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -1031380 to the nearest 100.\nAnswer: -1031400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 433173 and 234779?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*d**2 - 7400*d - 2738000.\nAnswer: -5*(d + 740)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -99990690.6 rounded to the nearest 100000?\nAnswer: -100000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1580 - 7*n**3 - 10*n**3 - 11*n**3 + 37*n**3 - 10*n**3 to t*n + s*n**3 + i*n**2 + j and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-78)\/260 - 186\/(-20). Solve -q = -10*v + 31 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 67.3*269.997\nAnswer: 18170.7981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put together 261.2 and -5364.\nAnswer: -5102.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c = 107*k - 92*k - 8, -c = 2*k + 42 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4544 is divided by 1486.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.4, -0.168293, 24 in ascending order.\nAnswer: -0.168293, 1.4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -19*h - 8 + 46. Solve h*r - 2*r = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d - 2*d + d)*(0 + 3 - 1)*(3*d - 2*d - 2*d)*(-14 + 14 - 7*d**2).\nAnswer: -42*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, y: 1, r: 1, b: 2, j: 1, f: 1}. What is prob of sequence bb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 865312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -11a220 + -3?\nAnswer: -11a223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 120048 divided by 183.\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 69*l + 327 - 56*l - 350.\nAnswer: 13*l - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -503*c + 93426. Give j(190).\nAnswer: -2144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 54785320829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 630 and 1218.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -11000*y**3 + 5*y + 3*y**2 - 36536*y**3 - 6 - 20043*y**3 - 12823*y**3. Let w be f(1). Round w to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66975 is divided by 66973?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 84, 206, 414, 714, 1112, 1614, 2226, 2954?\n\"Answer: m**3 + 37*m**2 + 4*m + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -2*h**2 - 290*h - 2945. Determine q(-134).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -513, -496, -469, -432, -385?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*m - 28*m + 120*m**2 + 72*m + 33*m**2 - 22*m.\nAnswer: 153*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4 or -3\/164501?\nAnswer: -3\/164501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 9468 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 + 40 = 10*i. Let s(x) = 3*x**2 + 5*x - 2 + 4*x**3 - 2*x**2 - 5*x**3. Let g be s(i). What is the third biggest value in g, 2\/21, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 4*k**2 + 4 - 3*k**2 - 4 - 1. Let x be q(-2). Which is smaller: 2 or x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 7\/5766  (b) 3  (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -97941239*m**4 - 495476*m**2 + 7 wrt m?\nAnswer: -2350589736*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*z + 15 = -4*z, -3*h - 12 = -4*z for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Do 2 and 26\/21 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/4*-3*(-10)\/15.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 minus 1431.85?\nAnswer: -1431.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v - 88*h + 91*h - 8 = 0, -2*h = 4*v - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h\/((h\/((((h*h*h**(-2\/9))\/h*h)\/h*h)\/h))\/h*h)*h)**(-22)\/((h\/((h\/(h*(((h*h\/h**(1\/13))\/h*h)\/h)\/h*h*h*h))\/h)*h)\/h**(4\/3)) assuming h is positive.\nAnswer: h**(-7687\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-8\/7)\/(k\/(k\/k**5)))\/((k\/k**(2\/7))\/(k**(-11)\/k)) assuming k is positive.\nAnswer: k**(-132\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 24*r - 164. Let p be h(7). Differentiate -26615 + 8*n**4 + 26408 + 10*n**p with respect to n.\nAnswer: 72*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (111 - 108)\/((-1)\/(-23)). What is the highest common factor of 92 and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*x + 18*x - 136 = 2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 + -113210333?\nAnswer: -113211010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((0\/(-4))\/(6\/3))\/(-1). Suppose u*p - 4920 = -6*p. Suppose 12*d = 7*d + p. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 11) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -2*o - 2. Let u(v) = -5*v - 3. Let a(i) = -5*g(i) + 3*u(i). Let d be (5 - 1)*(-21)\/28. Let s(w) = -w. What is d*s(c) + a(c)?\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1985550 and 744?\nAnswer: 7942200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**3 - 6*g**2 - 2495*g + 7517. Calculate c(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/12 - (-663)\/(-18). Let j = w - -33. List the prime factors of ((-56)\/(-35))\/(j\/(-410)).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -1, -33, 2329, 3 in decreasing order.\nAnswer: 2329, 3, -1, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 264 is divided by 69.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 9767929543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -18*p - 42. Is m(-7) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1\/3))**(7\/6)*(i*i**(-14))**(-9\/5) assuming i is positive.\nAnswer: i**(2071\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the first derivative of -4*g**7\/7 - 3*g**4\/2 + 2*g**3\/3 - 21*g**2\/2 - 79. What is the third derivative of n(a) wrt a?\nAnswer: -480*a**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 480993616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*z**3 + z**4 + 0*z**2 + z**3 + 2*z**2 to l*z**3 + s*z**2 + y*z + x*z**4 + g and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12 + -7. Suppose -10*i + 40 = -s*i. Suppose -2*n + i = -2. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28, -208, -690, -1624, -3160, -5448, -8638, -12880?\nAnswer: -18324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 1423103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h = -10*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(1 + sqrt(2736)) + (sqrt(152) + -5*(sqrt(152)*-1 - sqrt(152)))\/sqrt(8))**2.\nAnswer: 710*sqrt(19) + 95804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.775206 rounded to two dps?\nAnswer: 2.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/7*(-112)\/(-64). Let p(b) = -b**2 + 18*b - 70. Let r be p(13). What is the nearest to 9 in o, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 5616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1 or 344?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 129*k + 33 = 130*k. Let v be (k\/(-11))\/(1\/((-5)\/3)). Solve 0*h - 20 = -v*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1*2\/(2 - 4)*0. Let x be (-7 - -81) + (-2)\/(-4)*b. Suppose x = 2*u - g, u + 2*g - 19 - 8 = 0. Calculate the highest common divisor of 14 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.233709 to 2 decimal places.\nAnswer: -5.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssttstwss. Give prob of picking 3 s and 1 w.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 4*c**2 - 3*c + 17. Calculate the remainder when r(6) is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 612 a factor of 146880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 151224271.\nAnswer: 11, 373, 36857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.15, -0.083, -15\/4 in decreasing order.\nAnswer: 0.15, -0.083, -15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**2 + 14*q - 43. Let i be v(9). Suppose -1 = h - 2*h. Solve 2*f + h + 3 = -2*j, -i*f = -3*j - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the second derivative of 17\/6*h**3 + 18*h - 1\/20*h**5 + 0 - 3\/2*h**2 - 13\/12*h**4. Is v(-15) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -117704, -117709, -117708, -117695, -117664, -117609, -117524, -117403?\n\"Answer: m**3 - 3*m**2 - 3*m - 117699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (6\/(-4))\/(9 + -18). Sort -0.5, b, -1.1, -2\/5 in decreasing order.\nAnswer: b, -2\/5, -0.5, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -304 - 234 - 10*j**2 + 538 + 6*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-10)\/(-77))\/(((-1865)\/1119)\/(35\/(-3))). Suppose -38\/11*m**2 - 2*m**3 + 6\/11 - p*m = 0. What is m?\nAnswer: -1, 3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -322583*n**2 - 344530*n.\nAnswer: -645166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4659*r + 240944 = -62767 + 45520 - 44644 for r.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 2*z)*(1 + 2*z**2 - 1) + (2*z**3 + 4*z**3 - 2*z**3)*(2 + 0 + 0).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 528 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.2  (b) -60  (c) 3  (d) -0.5  (e) -0.59  (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 17 = -23. Let w be s\/45 + 86\/18. Suppose -10 = -0*n - w*n. Solve r = 4, -n*l + 5*l - 11 = -2*r for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-27)\/(-18))\/((12\/(-32))\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -65 - -69. Suppose b + 286 + 269 = -l*g, b = -3*g - 415. What is the common denominator of 51\/10 and -6*(-10)\/(-8)*g\/425?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 725316 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -64*v - 7872. Calculate b(-123).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2087 a factor of 9673245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -59, 66, 409, 1078, 2181, 3826, 6121?\nAnswer: 9174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*x**4 + 0*x + 0*x + 3*x**4 - x**4 + 0*x**4 - x**4 + x**4 + x**4 + (0*x - 2*x**3 + 0*x)*(-4*x - 2*x + 4*x) + 3*x**4 - 5*x**4 + 5*x**4 + 6*x - 6*x - x**4.\nAnswer: 13*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (20*j + 0*j**2 - 5*j**2 + 6*j**2)*(0*j + 2*j - j)*(16 - 13 - 58) to l + m*j + f*j**3 + x*j**2 and give f.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -4*m + 306. Suppose 4*a + 35 = m. Suppose -58 = -5*t + a*c, t - 3*c = -6*c + 4. Solve 5*x - t = 2*k, 9*x = 4*x - 4*k - 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/7  (b) 0  (c) 2  (d) -2  (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-397 - -2) + 3)*(-2)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the second derivative of t**4\/60 + 694*t**3\/15 + 240818*t**2\/5 - 1312*t - 4. Factor w(a).\nAnswer: (a + 694)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 363 + 125 = 4*g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**2. Let l(o) = 6*o**2 + 2*o - 1. Suppose -u + 28 = 24. What is u*c(x) - l(x)?\nAnswer: -2*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 7, e: 4}. Give prob of sequence eqeq.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**2 + 13*v - 10. Let r be b(12). Solve -2*z - 3*z = 15, 2*d = -4*z - r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1422*a*b*m**3 - 490451*a*b*m**2 - 448*b*m**3 + b*m wrt m.\nAnswer: -8532*a*b - 2688*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-134)\/(-6))\/((-12 - -9)\/(-9)). Suppose 0 = -17*w + 12*w + 2*l - 61, -5*w + 4*l = h. Let a(o) = -o**3 + 6 + 2 - 10*o**2 - 2 + 11*o. Give a(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 75510.63 nanometers?\nAnswer: 0.007551063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -2*n**2 + 45*n - 22. Let x be g(21). Suppose -5*l = -4*f - 9, -5*f + 4 + x = 5*l. Let m(s) = s**2 - s - 3. Calculate m(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 1)*(-3 + 1 + 4)*(-7*b + 5*b - 3*b).\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*b + 14*b - 31*b.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 + 0 - (1158 - 1177).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0 - -2) + (-18)\/(-3). Let v(n) = n**2 - 11*n + 2. Let r be v(u). Are -21 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 5, o: 2, g: 6}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 3*l + 15 = 0, -x - 2*l = -6*l. Suppose d + 37 = h + h, -3*d + 5*h = 110. List the prime factors of (x\/10)\/((-1)\/d).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.009*0.01.\nAnswer: 0.02009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f + 1. Let y(q) = 26*q - 5. What is -5*r(t) - y(t)?\nAnswer: -31*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 43 and 335.\nAnswer: 14405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 4*w + 2. Let b(g) = -17*g - 9. Let m(j) = -2*b(j) - 9*u(j). Let n = -33 + 56. Let r(k) = 24*k**2 - 23*k - 11*k**2 + n*k. Determine m(r(l)).\nAnswer: -26*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*x - 2 - 83 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -46\/3 and -12\/79?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from fcnccdcjfzfffzcfd.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 3*o + 26. Let g be f(0). What is the highest common factor of 65 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3784013398 to the nearest integer?\nAnswer: 1558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 68538926 a multiple of 800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange h**3 - h**2 + 7*h + 157*h**4 + h**2 + 2*h**2 - 156*h**4 to the form t*h**2 + c*h + u*h**4 + q*h**3 + i and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 5, k: 5}. Give prob of picking 3 k.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 28998.48 days?\nAnswer: 695963.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6361\/13 - 489. Let f be (0 - -2)*24\/336*21. Factor 10\/13*s**f + 0 + 22\/13*s**2 + q*s.\nAnswer: 2*s*(s + 2)*(5*s + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -341125*j**3 - 1115713*j**2.\nAnswer: -2046750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the third derivative of k**7\/35 + 11*k**4\/12 + 175*k**2. What is the second derivative of j(r) wrt r?\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-18)\/18)\/((-2)\/(-8)). Let o be ((-138)\/f)\/((-30)\/(-280)). Calculate the highest common divisor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d**5 - 35*d**4 + 31*d**3 + 103*d**2 - 32*d - 68 = 0. Calculate d.\nAnswer: -1, 1, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*3*sqrt(19) + 3 + -3*sqrt(19) + sqrt(19))**2*-6 + -2)*-4.\nAnswer: -2448*sqrt(19) + 132008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -16560 divided by -92\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s - 7 - 2*s - s. Let h(y) = -y - 4. Let c(a) = -5*h(a) + 3*o(a). Let r(i) = -3*i - 3. Let w(b) = 4*b - 53. Let m be w(12). What is m*c(v) + r(v)?\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = d + 77, 5*t = -4*d + 79 + 33. Let h be (t\/(-8))\/(40\/(-96)). What is the third biggest value in h, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/7*(-1)\/(-8*12\/(-336)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j*j**(1\/11)*j*j)\/j)\/j**(-9))**(1\/11) assuming j is positive.\nAnswer: j**(133\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3 + (4 + -2 - -1). Suppose v = -c + 3*c. Let y be (6\/(-3) - -3 - 1)\/2. Solve 0*q + 3*q + w - 8 = y, c = q + 3*w - 16 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*y + 2*y**2 - 404*y**3 - 3*y + 405*y**3 - 4 + 3 to x + j*y**3 + w*y + u*y**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -17340 + 17348. Solve -132 = -20*h + x for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -64\/23121351 and -64\/23121351?\nAnswer: 23121351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.1 or 2485?\nAnswer: 2485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes after 2:18 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*l + 3011 + l + 0*l.\nAnswer: l + 3011","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -6*d + 20 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 * -526\nAnswer: -210.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 377 a factor of 393633571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together -668.4 and -0.1.\nAnswer: -668.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -14098 or -112775\/8?\nAnswer: -14098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) 636  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.062 and 30?\nAnswer: 1.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -480.97 + 481. What is the smallest value in 4, 1.6, b, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**2 + 2*l - 3. Let w be v(2). Suppose -5*d = 5*q - d - w, q + 2*d + 5 = 0. Suppose -3*h + x + 18 = 2*h, -q*x = 5*h. Is h less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y + 621 = 9*y. Does 25 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/1 + 10\/5. Let t(r) = 7 - 3 - 3*r - 5. Let i be t(-5). Solve 0 = -g*u + 1 + i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 23, -23, -167, -457, -941, -1667, -2683?\n\"Answer: -8*u**3 - u**2 + 13*u + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from {w: 7, v: 12}.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 54\/(-12)*(-4)\/6. Suppose m*k = 4*k - 3. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 600*a - 601*a - 5*n, -5*a - 6*n + 24 = 0. Suppose -u - 13 = -c - 4*u, 3*c = 4*u. Solve 2*h + 8 + 2 = 5*t, 2*t + c*h - 28 = a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 571850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -5*u - 9. Let o = -16 - -30. Let x = -20 + o. Calculate the remainder when 61 is divided by i(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 17*d + 7. Let f = -13 - -10. Let v be i(f). Let a = -20 - v. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -35, -101, -225, -437, -767, -1245?\nAnswer: -1901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 + 1)*(-w + 8*w + 0*w).\nAnswer: -21*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is e5 (base 15) in base 3?\nAnswer: 21222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001596166 rounded to 6 dps?\nAnswer: 0.001596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**3 + 4*j**2 - 10. What is m(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -813200*d**3 + 341*d**2 - d**4 + 813198*d**3 + 378*d**2 in the form r*d**4 + g + p*d + s*d**3 + f*d**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 28058006, 56116013, 84174020?\nAnswer: 112232027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -31 (base 4) to base 12\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f. Suppose 2*m = m - 5*t, -5*m + 2*t - 54 = 0. Let y be 1 + ((-3)\/3 - m). Let i(o) = y*o - 10*o - 5*o**2. Calculate i(r(v)).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - (11 + -3) - 1) + 20 + 1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -122, -3, 2, -4\/71, -1, 2\/5?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from emffemfeaaeeeehfh.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**2 - 2*p - 3. Let x be b(-3). Let v be (x + 5)\/(2\/190). Let g = -40 - v. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1667*b**3 + 2*b**2 - 3*b**2 - 1667*b**3 + 5010*b**3 - 1671*b**3.\nAnswer: 5*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 750 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 86380 and 280.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -907, 0.47, -2, 1\/3?\nAnswer: -907","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12089 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 + 11*h**2 - h + 11. Let m be o(11). Suppose m - 14 = -2*f. Suppose -8*p = -f - 17. Solve -4*n = -r - 15 - 2, n - p*r + 4 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -9*x**3 + 8*x**2 + 4*x - 4*x - 4 - 2 - 9*x. Let a(w) = -9*w**3 + 7*w**2 - 8*w - 5. Let t(p) = -7*a(p) + 6*l(p). Let v be 1 - 1 - (1 + -2). Give t(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1547 times 2\nAnswer: -3094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/8 - 78\/(-8). Suppose 6*m = 8*m + y. Let d be (m - (-5 + 2))*2. Let j(x) = x**3 + 4*x**2 + x + 2. Give j(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 89511*m**5 + 927*m**3 - 21829341*m - 18 wrt m?\nAnswer: 1790220*m**3 + 5562*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 193310 is divided by 64434.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 353 - 210. Let c(y) = 135*y - 6*y**2 - b*y + 7*y**2 + 15. What is c(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -713341+6309.0485\nAnswer: -707031.9515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -2*k**2 - 3*k + 2. Let w(z) = -2*z**2. Give o(w(r)).\nAnswer: -8*r**4 + 6*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((-2*(sqrt(2200) - 1*sqrt(2200)))\/((sqrt(10) - (-2*sqrt(120) - sqrt(120))\/sqrt(12))\/sqrt(5)) + -3)*1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v**2 - 388*v + 966 - 846 + 510*v = 0.\nAnswer: -60, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/5, 4, 1083, -0.1?\nAnswer: 1083","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the second derivative of -u**5\/20 + u**4\/2 - 2*u**3\/3 + 6*u**2 + 23*u. Let d be n(5). Let c(l) = 3*l - 5*l + d + 4*l - l. Determine c(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*d + 12*d + 5*d.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -16 - -18. Suppose 5 = i*m + 1. Solve m*f + 1 = 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20, -37, -54, -71?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -42411200 to the nearest ten thousand.\nAnswer: -42410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:09 PM and 1:45 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -310, -624, -940, -1258, -1578, -1900, -2224?\n\"Answer: -b**2 - 311*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 2, 0.123 in descending order.\nAnswer: 5, 2, 0.123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 0.0147117m?\nAnswer: 1.47117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -53*u**2 + 505?\nAnswer: -106*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 18223*c**6 - 13965*c**2 wrt c?\nAnswer: 2186760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-77)\/28)\/((-6)\/(-8))*-33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -3*g - 5*k, 3*g + 4*k - 11 = 7. Suppose g*q + 17 = 21. What is the third derivative of -3*j**4 + 6*j**2 - 21*j**2 - j**q wrt j?\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 126\/(-27)*24\/16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(-2)*m)**(2\/17)\/(m\/(m**6*m)*m)**(-1\/11) assuming m is positive.\nAnswer: m**(3\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-10) + (-152)\/20?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-12)\/a)\/(a\/(a\/(a\/a**(-15))))*(a**(-10)*a)**(-5\/9))**(-1\/5) assuming a is positive.\nAnswer: a**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*f**3 + 4*f**2 + 6*f**3 - 5*f**2 + 131*f**3.\nAnswer: 102*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*d + 4*d + 2*d)*(6 - 3 + 0) + 6*d - 15*d + 2*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 80 and 60?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -104221*r + 208452. What is w(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 6*a**3 - 5*a**2 - 9*a + 7. Let t = 14006 - 14010. Let o(h) = 3*h**3 - 3*h**2 - 5*h + 4. Calculate t*w(p) + 7*o(p).\nAnswer: -3*p**3 - p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**(-1)*b)**50*(b**0)**39 assuming b is positive.\nAnswer: b**150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.011564 - -0.722163.\nAnswer: 0.710599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4632 + -7080. What is the tens digit of c\/21*(-3 + 4 + -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -2*b**2 + 7*b. Let i(n) = -31 + 5*n + 31 - 2*n**2 + n. Let s(d) = -3*i(d) + 2*k(d). Let l(y) = -y**2 + 3*y - 1. Calculate -4*l(g) - 3*s(g).\nAnswer: -2*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the second derivative of -m**7\/14 + 7*m**6\/10 - 3*m**5\/2 - 9*m**4\/2 + 27*m**3\/2 + 81*m**2\/2 + 242*m. Factor n(r).\nAnswer: -3*(r - 3)**3*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 20*w + 11*w + 2*w + w to m*w + c and give m.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (90 - (85 + 12)) + 11 + -1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 700175906 and 1734?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 296, -40, 2, -32 in ascending order.\nAnswer: -40, -32, 2, 296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.4  (b) -56\/47  (c) 0.6  (d) -28  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*(5\/(-12))\/(1\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3347 - -3968. Does 27 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63\/8 of a micrometer in nanometers?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2972211?\nAnswer: 3, 11, 90067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 182*x = 181*x + 7. Calculate the lowest common multiple of x and 38.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes before 10:26 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 52*n - 104*n + 2340. Solve n*h - 50*h - 21 = 2*z, -4*z = -4*h for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/(-2)*-3*(-8)\/36. Sort -17, -2\/5, 3, c in descending order.\nAnswer: 3, -2\/5, c, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 121 is divided by 47.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 75 - 8*d + d + 222 + 2*d + 2*d as n + r*d and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2413336 (base 7) to base 8.\nAnswer: 1125722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2 + 1 + 3 + -3. Suppose -4*j = -f*t - 11, -4*j - 4*t - 36 = -12. Is j < 3\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - 22 + 1. Let i = z + 0. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-295)\/(-75) + 1\/15. Solve n + n + 4*v = 22, 0 = 3*n + k*v - 27 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 86101691.2+-1.66199\nAnswer: 86101689.53801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -597.4 + 408. Round c to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1458094756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 - -7. Let i(g) = -n*g + 3 - 2*g**2 - 3 - g**3. What is the units digit of i(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 9421*u + 28506. What is i(-3)?\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by -266.\nAnswer: -1\/266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13229, 13265, 13301?\nAnswer: 13337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -22.9 + 23. Let m = 7 + -4. Which is the third smallest value?  (a) m  (b) 1\/6  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 25845*i**4*m**2 - 4*i**3*m**3 + i*m + 6*i + 8*m**3 + m + 2386 wrt i?\nAnswer: 310140*i**2*m**2 - 24*i*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 447055.8 minutes to hours.\nAnswer: 7450.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmveeeemevevmmeme. Give prob of picking 1 v and 2 e.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = 4*z - r - r, 5*z - 5*r = -35. Is (-4847)\/2*(z + 12\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 53*r - 586. Let n(f) = -3*f. Determine j(n(s)).\nAnswer: -159*s - 586","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -4 + 0 + (5 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(102)\/(sqrt(4)\/sqrt(2)))\/(sqrt(108) + 3*sqrt(108) - sqrt(108)))**2*6.\nAnswer: 17\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(-1))\/(a**(1\/6)\/a)*(a\/(a**(-2)\/a*a))\/(a*a**5) assuming a is positive.\nAnswer: a**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 + 11. Let p = -3971 - -7971. Suppose -h*f = f - p. Round f to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 7) + (-3 - (-4 + -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -200 + 200. Which is smaller: x or -3\/14?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 0, -15, -30, -39, -36?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2025410 - -54?\nAnswer: 2025504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11289095, -11289086, -11289077, -11289068, -11289059, -11289050?\nAnswer: -11289041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is be17e (base 16) in base 12?\nAnswer: 316712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/((2\/2)\/(-9)). Let m be (-27)\/(351\/(-182)) - -14. Suppose n*s = 2*s + m. Solve 5*d - 20 = -0*y - s*y, -4*d + 16 = 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = n - 3. Let c = n + 25. Differentiate c - 7 - 3 - 2*p with respect to p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3882 - 813c?\nAnswer: -b9be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**3. Let o = -1 + 12. Let p = -5 + o. Let q(n) be the second derivative of 2*n**5\/5 + n**4\/12 - 3*n + 10. What is p*j(s) + q(s)?\nAnswer: 2*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from krnnrrynkrrnyrrnnr. Give prob of sequence kyr.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**2 + 4. Suppose -4*o + h = 25, -o + 3*h = 10 - 1. Is 21 a factor of f(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9\/56 - -1\/8. Let i be 36\/(-315) + 4\/(-14). What is the fourth biggest value in 2, i, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.586251 weeks to hours.\nAnswer: 1610.490168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1693*i**2 - 2910 wrt i.\nAnswer: -3386*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -1.310267022 - -0.04\nAnswer: -1.270267022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 5 + 0 - 0 - (-1262 - 2346\/(-51)). Calculate the greatest common factor of k and 1887.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 10*t + 707. Let m be h(-67). Is 183\/5 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes before 6:07 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-496)\/(-6479) - 2\/(-19). Let p = -0.4 - -0.33. Let c = -4.93 + p. What is the nearest to 0 in n, c, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(-8))\/z*z\/(z*z**(4\/3))*z*z*z**(1\/3)*z\/(z\/((z**(5\/2)*z)\/z)))**(-11) assuming z is positive.\nAnswer: z**(99\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 852485.8 centuries?\nAnswer: 1022982960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 + 7. Suppose -5*u + 24 + x = 0. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*u + 38*u + 5*s + 646 = 0, -5*s = -30. What is the remainder when 938 is divided by u?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:13 PM and 9:11 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 781 divided by 1\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1063.3 - -1630. Let x = 522 - j. Let z = x + 89.1. What is z rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -102395370 divided by 44327.\nAnswer: -2310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27256415 is divided by 27256411.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.56003 and 6349.\nAnswer: 6349.56003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4375616 and 448?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*z**2\/4 + 130721*z + 29049 = 0. Calculate z.\nAnswer: -58098, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 115106377417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -93336169*q - 28*q**3 + 93336169*q.\nAnswer: -28*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n + 17. Give g(20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -413664*l**5 + 59*l**2 - 204*l.\nAnswer: -24819840*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 670550526?\nAnswer: 2, 3, 83, 448829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.1986 - -3.16. Round t to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z = 0, 0 = 3*b - 17*z + 14*z - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4383*g + 2 - 8770*g + 4388*g - 159*g**3 + 0 to w*g**2 + l*g + f*g**3 + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27.80535 decades to months.\nAnswer: 3336.642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1143?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3859067 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 365, 336, 307?\n\"Answer: -29*c + 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*k + 0 + 0 + 0.\nAnswer: 15*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:38 PM and 1:08 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2299 + -2297. Suppose 4 = 2*d, -4*k + 14 = k - 3*d. Solve -k = -3*s + j for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a + 2220 + 2640. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1278547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (826\/364)\/((-83)\/(-2158)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-2\/5)*(n\/((n*n**(1\/12)\/n*n*n)\/n))\/n)\/(n**(-19))**(-12\/11) assuming n is positive.\nAnswer: n**(-14659\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -545 - -664. Calculate the remainder when p is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 11\/11 + 349*-7. Let l = 24401\/10 + j. What is the common denominator of 99\/4 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(27)\/sqrt(81) - sqrt(3))**2 + 0.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11092\/33 + 336. Are 1\/3 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 27*x + 4. Is j(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8, 111, 374, 875, 1692, 2903, 4586, 6819?\nAnswer: 9680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 22742721 and 0.8.\nAnswer: 18194176.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -16*l + 27 - 12*l**2 - 13*l**2 + 24*l**2. What is the units digit of n(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -86*o + 2709 = -77*o. Is 43 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2325 (base 9) in base 11?\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1220121 - -12?\nAnswer: 1220210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 992246 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 3610452 + 16669548 = 0. Round q to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 24096 and 4704.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the first derivative of z**2 + 7*z + 68. Let w(r) = -2*r - 8. Determine 6*j(c) + 5*w(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:59 AM and 1:54 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f - 396 = 2*f + 5*g, 5*f = -2*g - 1011. Round f to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2158\/11 + 196. Let s = 24 + -24.13. Let k = s + -0.17. What is the second smallest value in k, -0.05, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/7?  (a) 3  (b) 1  (c) -1\/5  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = 3*o - 5, -4*o = 3*h - 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vs when two letters picked without replacement from jpvas?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 9239010 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 16066 and -564004?\nAnswer: 580070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -444379 (base 15) in base 6?\nAnswer: -153430053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 43 + (-20 - -1 - -3 - -10) + -7.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -348813 and -0.6.\nAnswer: 209287.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32 + w**2 - 487*w + 67*w - 97*w.\nAnswer: w**2 - 517*w - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 smaller than 6\/2533517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -162*y**2. Let i(g) = 8677*g**2 + 8682*g**2 - 17371*g**2. Determine p(i(s)).\nAnswer: -23328*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*s - 6*s - 2*s + 3 - 6*s wrt s?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -14 + 18. Suppose v*k = 6*k + 6. Is (-201)\/k + 2 + -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 w, 1 r, and 1 j when four letters picked without replacement from wvtjjjjwrjtwtrtj?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, z: 6, h: 1, v: 4}. Give prob of picking 2 y and 2 v.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 - 27?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1263?\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9\/2 - -4. What is the nearest to 2 in l, -1\/4, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -783336 divided by -6?\nAnswer: 130556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 137630.3 to the nearest one hundred.\nAnswer: 137600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 737 divide 634876037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -796 + 789.73. Let q = k - -1.26. Let v = q - -0.01. Which is the closest to 1\/5?  (a) -1  (b) 0  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(7\/6) + ((-7194)\/231 - -30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 432, 5, -5326, 4 in decreasing order.\nAnswer: 432, 5, 4, -5326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -86\/5?  (a) 1  (b) 14  (c) -428.6  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2265*f = 405*f - 1856*f + 9009 + 2139 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 3*h**3\/5 + 297*h**2\/5 + 3132*h\/5 = 0.\nAnswer: -87, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85*b = 72*b - 4710. Let v(n) = -3*n**2 + 91*n - 29. Determine v(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/176 and 91\/110.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 + -24. Let c = -12 - h. Put -3, 0, c in ascending order.\nAnswer: -3, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-78650)\/(-18) - (-472)\/(-1062)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(((sqrt(1216) + sqrt(1216)*1*-1 - (sqrt(1216)*-1 + 2)) + 1*(0 + sqrt(1216) + -4))*-5)**2.\nAnswer: -122500 + 4800*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 55, 16, -3, 0 in decreasing order.\nAnswer: 55, 16, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 399 + 105 = 38*f - 14*f for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1633907.\nAnswer: 11, 148537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.335 and -7.\nAnswer: 9.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n = -4*w + 8, -7*n + 9*n - 2*w = -24 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 1 b when three letters picked without replacement from {s: 2, o: 1, b: 2, v: 1, h: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 902288408.\nAnswer: 2, 7, 89, 269, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-3*sqrt(114)*2)\/(sqrt(30)\/(sqrt(5)*-1)).\nAnswer: -2 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -229295, -230148, -231001?\nAnswer: -231854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 31346 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**2 - 9*b - 3. Let q be k(-8). Suppose q*m = 4*m. Let v(f) = f**2 - f + 8. Calculate the least common multiple of 10 and v(m).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -38720*a**3 - 606320*a**2 + 865235*a - 295885.\nAnswer: -5*(a + 17)*(88*a - 59)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from orm. What is prob of sequence rmo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 4*c - 11 = 0, 3*j + 8*c - 3*c = 19. Suppose 3*i + 1119 = -3*y, -2*y - j*i + 2*i - 751 = 0. Is 10 a factor of 2\/(-8) + y\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*c + 69 = 13*c - 2*d, 4*c - 286 = -2*d. Suppose -3*g + 88 = -4*z, -4*g - 5*z + 75 + 1 = 0. Calculate the remainder when c is divided by g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:58 PM and 6:17 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are 8634391 and 8634391 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 5*j = 2*h - 5124, 5*j = -3*h + 12806. Let r = -937 + j. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 98154184125093 and 2.\nAnswer: 98154184125095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 177423311.\nAnswer: 13, 19, 23, 31231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 2*b - 3. Let m(y) = -2. What is 2*g(d) - 4*m(d)?\nAnswer: 4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*f**2 + 1775*f - 1770.\nAnswer: -5*(f - 354)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 349347.4 millimeters to kilometers.\nAnswer: 0.3493474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/3)\/(((-9460)\/(-1815))\/(-86)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17799 + 17799 - 2937*t**2 + t to the form k + i*t + v*t**2 and give v.\nAnswer: -2937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6107307?\nAnswer: 3, 593, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 248\/(-12)*(-6)\/4. Let r = z + -11. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ctuoulpoopouo. What is prob of sequence upcl?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -792, 3, -52, -1 in descending order.\nAnswer: 4, 3, -1, -52, -792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 240436986 to the power of 1\/3, to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 2 i when three letters picked without replacement from ybyiyyyediiyiyd?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45*x**3 + 17*x**3 - 11*x**3.\nAnswer: -39*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -0.4  (b) 123  (c) -96  (d) -3  (e) 1\/52\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 - 3. Let m be ((-6)\/(-8))\/((-2)\/(-56)). Calculate the greatest common divisor of m and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1547 - -2222. Calculate the highest common divisor of a and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 7*m**2 - 4*m + 8. Let f(c) = -12*c**2 + 7*c - 14. Let d(y) = -7*a(y) - 4*f(y). Let h(k) = 1740*k. Calculate h(d(s)).\nAnswer: -1740*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1435*l + 8497 wrt l?\nAnswer: -1435","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*i + 138 = -4*i. Solve 19*s = i*s + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) -8\/7  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7800761 + 7800761 + 87*t.\nAnswer: 87*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 4 - 7)*(2*f**3 + 0*f**3 - 3*f**3).\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4923, -4920, -4917, -4914, -4911?\nAnswer: -4908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -45\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6577790.\nAnswer: 2, 5, 657779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 14360125*g**2 + 89*g + 553962.\nAnswer: 28720250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 48601, 48603, 48605, 48607, 48609, 48611?\nAnswer: 48613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -241*c - 9999 + 600 = 0 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((4*sqrt(156) + sqrt(156))*-2*-1)\/(sqrt(1200)*-1 - (sqrt(432)*-2 + sqrt(432) + sqrt(432))).\nAnswer: -5 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -2 + 0 - 11 + 17*r**2. Suppose 5*z - 15 = 0, 0 = -q + 3*z + 24 - 27. Let a = -7 - -33. Let s(m) = -4*m**2 + 3. What is a*s(h) + q*i(h)?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -2, 10, 36, 5 in increasing order.\nAnswer: -5, -2, 5, 10, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -10705 * -17.\nAnswer: 181985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11147759 or -11147760?\nAnswer: -11147760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1222, 5328, 12186, 21808, 34206, 49392, 67378?\nAnswer: 88176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 140423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 309741516 and 63?\nAnswer: 309741516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(4\/5)*z*z**0)\/((z\/(z\/(z**(-5\/4)*z)))\/z*z\/(z**4*z)*z))\/(z\/(z*z**(-4))*z**(2\/15)*(z**(2\/3))**30) assuming z is positive.\nAnswer: z**(-205\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4\/(-6))\/(5\/(-60)). What is the highest common divisor of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 5 + -3 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p*p**(1\/4))**(-29)*p\/(p*p**(-5))*p**(-2\/5) assuming p is positive.\nAnswer: p**(-1213\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 3, s: 2, i: 12}. Give prob of sequence sin.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(475)*-2 + sqrt(76)\/sqrt(100) - (-1 + 2 + sqrt(2736)).\nAnswer: -109*sqrt(19)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + w**2 + 3 + (-1 - w + 1)*(0 + 0 - 2*w) + (-w + w - 2*w)*(-4*w - 4*w + 0*w) - w**2 - w**2 + 3*w**2.\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the second derivative of z**3\/6 + 15*z + 1. Let k(o) = o**2 - o - 1. Let b(r) = 46*r**2 - 69*r - 69. Let d(c) = -b(c) + 69*k(c). Calculate m(d(y)).\nAnswer: 23*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*y - 4*y. Calculate the remainder when ((-34)\/y)\/((-2)\/(-4)) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -11980 + -7145?\nAnswer: -19125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-71954*k - 24982*k**2 + 71954*k)*(2 - 2 - 2) to z*k**2 + j*k + i and give z.\nAnswer: 49964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j\/j**(-7))\/j)\/j*j\/(j**(-1\/14)*j)*j**(-9)*j\/(j*j*j\/(j*(j\/(j**5*j))\/j)))\/(j**9\/(j\/(j\/(j\/(j*j**(-2))))))**(-3) assuming j is positive.\nAnswer: j**(155\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1457352 by -351.\nAnswer: -4152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (230 - 215) + 106\/(-2 - 0).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 112339.945 to the nearest 100.\nAnswer: 112300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v - 20 = 5*b, -17*b = -13*b - v + 19 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 75, 70, 61, 48, 31?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18, 33, 80, 189, 390, 713?\nAnswer: 1188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from {c: 4, d: 2, x: 1, i: 1, s: 2}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the third derivative of t**5\/60 - t**4\/8 - 12*t**2. Let w(a) = 7*a. Let q be w(1). Let f = -4 + q. What is g(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*a**4 - 1353*a**3 - 9769*a**2.\nAnswer: 48*a - 8118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -3*x**3 + 2*x**2 + 4*x + 3. Calculate the remainder when 7 is divided by b(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -156 - 802 = -152*i - 75 - 123, 3*r + r = 4*i - 40 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 64132690 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the third derivative of 0*v**5 - 5\/6*v**3 + 0 + 0*v + v**2 + 0*v**4 + 1\/20*v**6. Find the first derivative of o(x) wrt x.\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*a**4 - 13 - 2*a**3 - 41 - 43 + 21 + 2*a in the form i*a**2 + u + j*a**3 + w*a**4 + h*a and give u.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 20 + -15. Suppose -4*d - 134 + 7813 = 5*a, -x*d + 5 = 0. Suppose -502 - a = -3*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -92707, -92730, -92753, -92776, -92799, -92822?\nAnswer: -92845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7700 - 4687. Calculate the greatest common divisor of 23 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 154.33 and -189.4.\nAnswer: -35.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/10)\/(-1 - 14\/(-8))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -7 + 2400?\nAnswer: 23a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is a29ba88 - -a?\nAnswer: a29ba95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 218488?\nAnswer: 2, 31, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 10 - 8 - 3*s + 2 - 6*s. What are the prime factors of p(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/4, 0.2, 2\/13, 15815 in decreasing order.\nAnswer: 15815, 3\/4, 0.2, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12478355.\nAnswer: 5, 1553, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 37*w**2 - 35*w**2 + 0 - 13*w)*(0*w + 2*w + 0*w).\nAnswer: 4*w**3 - 26*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 88 - 83. Suppose -d*p = j + 229, 2*p - 1033 = 5*j - p. Let r = 348 + j. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.4, 1\/11, 274, -1161, 5?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 365 + -160?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(208) - ((sqrt(65)\/sqrt(5))**2 + 4 + sqrt(13)).\nAnswer: -15 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 56\/(-2)*(-178)\/623?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 63084136 to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1207*p = -854*p + 1949*p + 126610 for p.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the second derivative of -i**3\/6 + i**2\/2 - i. Let p(s) = -4*s + 4. Let d(v) = -3*j(v) + p(v). Determine d(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 142 + 7 = 0. Let k = f + -10. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/24 - (-185)\/300)*55\/(-66).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5.17 + 0.17. Let g = f + 16. Let t = -14 + g. Which is the third smallest value?  (a) t  (b) 0.06  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20)\/6*((-116)\/(-5) - 16) + 18 + -12?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*c - 13*c + 5*c - 4*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h - 1. Let c = 9 - 6. Let b be y(c). What is the derivative of -k**2 - 1 - 2*k**4 + k**b wrt k?\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 + -2)\/2 - -4. Suppose c - 11 = -j*u + 1, -c + 4*u = 16. Suppose c*v + 3 = v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 688 by 45.\nAnswer: 688\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -105, 3 in decreasing order.\nAnswer: 3, 2, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i = 2*w + 11, -2*w + 422*i - 8 = 420*i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.089659747 rounded to five decimal places?\nAnswer: -0.08966","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 1 i, and 1 l when three letters picked without replacement from itiliiiitiitiitti.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 + -2)*(-50)\/300?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.4 - -3.4. Let q(o) = -o**2 + 3*o - 2. Let a = 9 - 6. Let b be q(a). What is the closest to h in b, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -80 - -91. Which is the closest to -1?  (a) -1\/3  (b) -1  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1376 and 135106.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-24)\/(-60) + (-238)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 2*v - 5 = 0. Let h = 2 - v. Let q be (h\/(-10))\/(12\/(-88)). Which is smaller: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2043636351 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 17839464 and 153865377.\nAnswer: 1230923016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 6*n + 49. Suppose 41*d = 66*d + 200. What is c(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/32 and -1\/2870?\nAnswer: 45920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -22 - -30. Let v = 8 - y. Let d = 11 + -14. Which is the closest to v?  (a) 1  (b) -0.3  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i**4\/10 - 11599*i**3\/10 + 3775623*i**2\/10 - 312354797*i\/10 + 146883391 = 0.\nAnswer: -11918, 5, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*d**2 - d**2 + 5*d**2 + 3*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14 - -4. Let p = -26.1 + -4.9. Let v = 29 + p. Which is the biggest value?  (a) -2\/13  (b) q  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -820, -815, -806, -793, -776, -755?\nAnswer: -730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*1*(4*(1 + sqrt(243) + (sqrt(243) - (sqrt(243)*-1 - sqrt(243))) + 3))**2.\nAnswer: -312320 - 23040*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 59727 by 221.\nAnswer: 59727\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m + k + 0*k = 7, -m - 18 = 3*k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d - 12 = p, -26571*d + 26575*d - 5*p - 36 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*z - 3258 - 126*z + 3257.\nAnswer: -166*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.86338012 rounded to two decimal places?\nAnswer: 7.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 464 and 36?\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 47373 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 206133 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 686242 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1848 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 6*m - 80 = -13*m. Which is the third smallest value?  (a) -2\/63  (b) -2\/7  (c) 1\/2  (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 805704 is divided by 535.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (3 - (-6 - -6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/20  (b) -0.4  (c) -0.08256  (d) 0.6  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 18 = 2. Calculate the highest common factor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-41)\/((-1763)\/4988))\/(98\/(-28)*(-12)\/21)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3\/7  (b) 0  (c) 0.25  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -64153*b**3 - 50153*b?\nAnswer: -384918*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 4*x**2 + 1. Let h be y(-1). Suppose 3*p = h*p + 3*p. Suppose -5*w + 312 + 268 = p. 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 eighth root of 1857629 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -11307, -45234, -101781, -180948, -282735, -407142?\n\"Answer: -11310*j**2 + 3*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -100*q - 42. What is the tens digit of y(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/((-3)\/(-2))*23130\/1285?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59026*g - 18 + 118048*g - 59025*g.\nAnswer: -3*g - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 - -2. Suppose 0 = 4*m - f*m + 4. Let z = 8 - m. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1694376 is divided by 423575.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 264399683.\nAnswer: 264399683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n + 0*n + 0*n)*(12*n + 7*n + 4*n).\nAnswer: 23*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**2. Suppose -11*l + 18 = -10*l - 3*k, 0 = -2*k - 8. Let q(x) = x - 3*x + 3*x - l + 0*x. Give q(u(p)).\nAnswer: -p**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8925 and 30?\nAnswer: 17850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*a - 31413 - 252301 = 14279. What are the prime factors of a?\nAnswer: 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 - 4 - 1 + z - 33*z to the form b*z + g and give b.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -6*p**2 + 4569*p - 120689. Determine g(734).\nAnswer: 421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 176 = l. Let t = l - 124. Let m be 7 + -10 - (t + 0). Calculate the greatest common factor of 11 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 40\/(-100) + (36\/3)\/((-20)\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*v - 2*t - 30 = 3*v, -2*t - 10 = 5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, -8, -33, -2.\nAnswer: -33, -8, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zl when two letters picked without replacement from flffmlmmflfzglgll?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -18, -29, -32, -27, -14, 7?\n\"Answer: 4*y**2 - 23*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 31 + -36. Which is the closest to 1\/2?  (a) l  (b) -6  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 586 minutes before 7:48 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 48 and 39420.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 33 and 15576.\nAnswer: 15576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21851911.\nAnswer: 137, 159503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes before 6:28 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.012 + 5.588. Let t = -3466095.6000224 - -3466090. Let n = d + t. Round n to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -140044302 + -4?\nAnswer: -140044311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 11*m**3 + 15*m**2 + 15*m - 7. Let j(k) = 5*k**3 + 7*k**2 + 7*k - 3. Let h(d) = -9*j(d) + 4*w(d). Factor h(t).\nAnswer: -(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:08 AM and 6:29 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 7065*a - 3709126. What is m(525)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 897564 and 284.\nAnswer: 63727044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:25 PM and 3:37 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 423 and 1025634.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {e: 6, o: 1, g: 3, u: 1, h: 6}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 421.19 or -204?\nAnswer: 421.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 - 14 = -2*f + 2*z, 0 = -3*f - 3*z + 27. Calculate the remainder when 21 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -204221 + 41114?\nAnswer: -113102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 791633 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1141 is divided by 29.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 - 5 - 38)*(41*n - 12*n - 4*n) + (2 - 3 - 2)*(2 - 2 + 3*n) to the form a + g*n and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 51757*v - 80. Is l(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -11*a + 22*a**2 + 11*a + 1 + 2*a**2 - 1 + (2*a - 2*a + a)*(a + 0 + 0) + 3*a - 3*a + a**2.\nAnswer: 26*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 24 - 26. What is the closest to 0 in -1, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(468)\/sqrt(4) + 0)**2.\nAnswer: -24*sqrt(13) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51 is divided by (2 + 22)*(-3)\/(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 140*r - 792 + 67 = -25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 4, r: 3, j: 1, q: 1, p: 1, c: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 25*d. Let u(g) be the third derivative of -g**8\/20160 + 7*g**5\/15 - 7*g**2. Let j(r) be the third derivative of u(r). Determine j(k(b)).\nAnswer: -625*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -70*q - 361. Let p(o) = 30*o + 181. Calculate -2*b(y) - 5*p(y).\nAnswer: -10*y - 183","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93*o + 86*o - 35 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 101011 (base 2) to base 8\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 3 = -3. Suppose -4*v = 3*h - 70, -2*v - 5*h + 85 = y*v. Calculate the remainder when v is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 17\/4 of a microgram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0, -39, 0.04?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*-2*sqrt(7) + sqrt(7) + sqrt(7)*1 + sqrt(7) + 5.\nAnswer: sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the third derivative of -j**4\/6 + 7*j**3\/2 - 10*j**2. Let x be k(-11). What is the highest common factor of 26 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the first derivative of -g - 39 - 3*g**2 + 2*g**2 + 11. Give t(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 530*s**2. Let h(m) = -6*m + 559. Let y(j) = -j + 129. Let b(p) = -6*h(p) + 26*y(p). Calculate v(b(u)).\nAnswer: 53000*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*o**4*q**2 + 4*o**4 - 7*o**2*q + 3*q**2 wrt o.\nAnswer: 72*o*q**2 + 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d + 6*d - 158. Let r = 188 - d. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange z**2 + 1 + 2 - 576*z**4 + 578*z**4 - 33*z + 0 + z**3 - 1 to t*z**2 + b*z + o + j*z**4 + k*z**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 12895406 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 7, j: 9}. Give prob of sequence jjt.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 77cc + 7206?\nAnswer: 11a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 14*a - 40 = 0. Let t be 1\/((-4)\/16*-1). Suppose 5*b + t = 6*b. What is the remainder when b is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 + -3. What is the closest to p in 0.5, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 4, 0, 9935?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l + 3*l + 0*l + (1 - 1 + 2)*(3*l + 0*l - 2*l))*(331*l + 39*l + 1907*l).\nAnswer: 9108*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1749\/44*4\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -42c + 4c?\nAnswer: -3d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes after 3:53 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0*(-5)\/(-30))\/(-6). Suppose -5*w - 3*i + 1917 = g, -5*i = -5*w - 232 + 2157. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9 + -1 - (-3 + -4)) + -3 + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -70 - -27?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c - 3 - 7. Suppose c*n + 2*q = 1215, n + 4*q + 729 = 4*n. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 85532763 + 0.06?\nAnswer: 85532763.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.87 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 - -532?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -4\/21  (b) -1\/5  (c) 4  (d) 0  (e) -1\/3  (f) -0.3  (g) -5123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -16653.7 - -16654. Let q = -68.8 + 70. Let s be 2\/8 - (-14)\/(-24). Sort q, n, s.\nAnswer: s, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j + 851. What is the hundreds digit of p(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -57486, -57483, -57480, -57477, -57474, -57471?\n\"Answer: 3*d - 57489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.1088 + -4.8912. What is the closest to 0 in 2\/7, 0.5, a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-71300)\/(-105) - (-4)\/14. Let z = d - 679. Put z, 21\/4, -4 in decreasing order.\nAnswer: 21\/4, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**2. Suppose 4*f + 6*o = 2*o + 28, 4*o + 8 = 2*f. Suppose 0 = -a + f*a - 20. Let s(d) = 27 + a*d - 27. Give z(s(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 6528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 3808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 672 and 92940456.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9 - -14. Suppose 3*s - 5*h = 864 + 294, 0 = -5*s + t*h + 1940. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.181 - -6.781. Let m = -2.6 + o. Which is the biggest value?  (a) -2.5  (b) 0  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3398 - 5079. Let a = w + 11744\/7. What is the common denominator of 11\/6 and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-95)\/(-10))\/(-19)*-1*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 85603590481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(1\/2))**(4\/7)*r**(-6)*r*r**4*r*r assuming r is positive.\nAnswer: r**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8957 + 8962. Solve 3*x + c + 2 - 7 = 0, n*c = 3*x + 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*i - 25 = -17*i. Let g be -1 - i\/5*-3. Solve 0 = -h - h + g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.1  (b) -1\/16117  (c) -5  (d) -2  (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 + 0. Let l = o + 1.02. What is l rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t**2\/3 - 160033*t\/3 - 4160182\/3 = 0 for t.\nAnswer: -160007, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4939662 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 - 4)*(-8)\/(-276). Which is bigger: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11149 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3 - (2 - (4 + -2)). Suppose 0 = 5*l + 2 + i. Is l at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 61165305 (base 7) to base 16.\nAnswer: 4db293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 650892498 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that 5*o**4 + 16695*o**3 - 5698695*o**2 - 11447455*o - 5732070 = 0.\nAnswer: -3651, -1, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -54760b (base 14) to base 16\nAnswer: -2bb04b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 31518 + -31513. Sort g, 4, 2, 7 in ascending order.\nAnswer: 2, 4, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4576776619\/36 + 127143159. Let q = p - 10476. Let l = -44\/9 + q. Which is smaller: -6 or l?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {f: 1, w: 2, e: 1, n: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c - 10*c - 28 = -3*d, -16 = 4*d for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -7 + -11 + 6 + 9 + 8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/48*2*(-123888)\/356.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -18\/121?  (a) 1  (b) 2977  (c) 0  (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-5000)\/3)\/(5\/(-2340)). Suppose 5*z = -0*z - g. What is z rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(132)*2*-1 - sqrt(132)) + sqrt(132))\/(1*sqrt(48) - sqrt(12)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 88.9943 - 89. What is l rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 22*k**2 - 1. Let i be x(-1). List the prime factors of (i\/(-9))\/(2\/(-6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b. Suppose -4*f - 5 = -7*f + 4*k, 5*f - k - 14 = 0. Let n(l) be the first derivative of -1\/3*l**3 + 0*l - f + 0*l**2. What is o(n(i))?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 218217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6043860, 6043877, 6043926, 6044025, 6044192, 6044445, 6044802?\nAnswer: 6045281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -127*g + 120*g = -21. Calculate the least common multiple of g and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 9*a. Let q(u) = -30*u. Calculate j(q(b)).\nAnswer: -270*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b + 3*j - 113, -6*j + 15 = -j. Sort b, -1, 4, -3, -0.5.\nAnswer: b, -3, -1, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.07533 rounded to three dps?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = 5*h + 3*n - 302, 4*h = n + 218. What is the smallest common multiple of 10\/h - 84\/(-22) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10255 and 14357?\nAnswer: 71785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes after 3:05 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15402, 116742, 391804, 927450, 1810542, 3127942?\nAnswer: 4966512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 5*d - 181. Let u be o(41). Solve 26 + u = 10*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.794767 grams to micrograms.\nAnswer: 3794767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 212240 and 50162?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1095911534 to the power of 1\/3, to the nearest integer?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51836?\nAnswer: 2, 12959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -64125045 divided by -1425001?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/16 + 6\/(-8). Let x = 1107.9 - 1055. Let v = x + -52.8. What is the closest to v in 0, m, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z + 16. Let k be s(12). Suppose -f + k = 5*a, 0 = 4*f - 4*a + 10 - 122. Let d = -16 + f. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-130)\/13 + 21 - 20.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 230 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 353446645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 t when two letters picked without replacement from {x: 1, t: 1, l: 1, b: 1, c: 2, o: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-33 - 6*t**2 + 33 + (-t - 3*t + 3*t)*(t - 6*t + 3*t))*(-2*t - 2*t**2 + 2*t).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 4  (b) -0.3  (c) 529  (d) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -643a9 (base 15) to base 8.\nAnswer: -1155204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -171*m**2 - 12*m + m**3 - 15 + 162*m**2 + 22*m. Calculate s(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**3 + 1003*c**2 + 39393*c + 171765.\nAnswer: -(c - 1041)*(c + 5)*(c + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-90)\/75*140\/(-21). Solve 3*v = 2*d - 7*d + 12, -3*d + m = 2*v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**2 + 5519*h + 177644. Determine d(-32).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 547587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that 3*z**2 - 2205180*z + 405234902700 = 0.\nAnswer: 367530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20200 + -2?\nAnswer: -20202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3365977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 123859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8.8*-103.\nAnswer: 906.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**2 - 4. Suppose 0 = -2*r - 6. What is the units digit of n(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes after 5:55 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -c**2 - 7349885*c - 22049646 = 0.\nAnswer: -7349882, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1055?\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z + z + 5*k - 10 = 0, -3*k = 4*z + 36. Let c = -1 - z. Suppose 0*g = -g - 4*v + 31, -4*g + c*v + 166 = 0. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the third derivative of -s**5\/30 - 2*s**3\/3 - 212*s**2. Let f(k) = -3*k. Give l(f(t)).\nAnswer: -18*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 24751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*p + 15 = p + 3*u, -4*p - u = -5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -153*z + 69. Let j(q) = -93*q + 34. Let l(d) = -5*j(d) + 3*p(d). What is l(5)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(720) + -1)*2 + 5 + 1)**2 + 2.\nAnswer: -14478 - 960*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 47985, 112594, 177203, 241812, 306421?\nAnswer: 371030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/(-6))\/(270\/324).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1619*p - 73985 = -3105*p + 1883*p - 16420 for p.\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = 8221 - 1917. Let u = w + 14159\/9. Calculate the common denominator of u and -29\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -92*s - 1029. Let b be f(-12). Suppose -l = 2 - 16. Let y = b - l. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -15817\/5918 - -22\/269. What is the common denominator of f and 101\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 65*r + 2*r**4 - 96*r**3 + 14*r + 95*r**3 to w*r**3 + p*r**4 + y*r + b*r**2 + l and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the first derivative of v**2 + 1. Let j(m) be the second derivative of 89*m**4\/4 - 1038*m. What is j(h(o))?\nAnswer: 1068*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does -36 = 66\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*i - 5 + 3 + 2.\nAnswer: -19*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*d + 168 = -22. Suppose -8*k + 5*k = -4*y - 13, 0 = -3*k + y + d. Solve -2\/19*n**k + 0 + 4\/19*n - 2\/19*n**2 = 0 for n.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 40 - 24. Let c be 216\/(4*6\/t). Suppose -3*i + c = i. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 27\/(-9) - (-1 - 5). Suppose -3*o + 4*x = 37, x = -o - s*x - 7. Let d = 132 + o. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -2*q**2 + 9*q - 9. Let x be a(4). What is the tens digit of 72 - (-4 - 20\/x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -30, 13, 92, 213, 382, 605, 888?\n\"Answer: z**3 + 12*z**2 - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:36 PM and 5:04 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gjj when three letters picked without replacement from {j: 8, g: 5}?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 4*b + 3. Let p be ((-20)\/(-4))\/(-7 + 3)*4. Let r(z) = -5*z - 2. Give p*r(g) - 4*k(g).\nAnswer: 9*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 435.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does -20.39 = -0.086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 422789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 + t**2 - t - 9. Let v(a) = -16*a**3 + 3*a**2 - 3*a - 32. What is 3*m(j) - v(j)?\nAnswer: 13*j**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -5*z - 2. Let a be i(-2). Let l = -6 + a. Let h(s) = -7*s + 1. Let w(g) = -15*g + 2. Let f(o) = -13*h(o) + 6*w(o). What is f(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 475551 is divided by 37?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-126)\/32)\/(-7)*(-593)\/(-1779).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 11, g: 4, a: 3}. What is prob of picking 1 a and 3 g?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 9:56 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -10004, -40009, -90018, -160031, -250048, -360069, -490094?\n\"Answer: -10002*y**2 + y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 336 and 2608.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 61*x + 14. Let b(i) = 20*i + 5. Let v(j) = 12*j + 476. Let t be v(-40). Determine t*q(d) + 11*b(d).\nAnswer: -24*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 370.6 in 5, 0, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 6*v**3 + 67*v**2 - 966*v - 9. Calculate t(8).\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 71633 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 48.\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/17, 0.05, 28\/53, -0.4, 2\/3 in decreasing order.\nAnswer: 2\/3, 28\/53, 0.05, -2\/17, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7571*s - 13099*s + 7095*s - 1629 wrt s.\nAnswer: 1567","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/300463920 and -143\/40061856.\nAnswer: 600927840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 5*v = v - 102, 3*w = 4*v - 42. Let b be 3\/w - (-1)\/6. Let d(s) = -2 + 0*s + 0*s - s. What is d(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 7363802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -192\/139 + 9859\/9452. Let m be 235\/(-255) + 4\/(-6) + 1. Let w = z - m. Which is the closest to w?  (a) 0.04  (b) -3  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.8983 to 2 decimal places.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 17, m: 2}. Give prob of picking 2 m.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1870133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2100221102 + -21210?\nAnswer: 2100122122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -73*c*h**2 + 28*c*h + 6965*h**2 + 2 wrt c?\nAnswer: -73*h**2 + 28*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add -3 and 26089.\nAnswer: 26086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7)\/12)\/7*3*240\/(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 168229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j - 600 = -6*j. What is the remainder when j is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -196.42545 to 1 dp.\nAnswer: -196.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-13)\/(715\/50))\/(850\/56100)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 20*m**3 - 6*m**2 + m + 1. Let a(w) = -40*w**3 + 10*w**2 - w - 3. Give 3*a(j) + 5*r(j).\nAnswer: -20*j**3 + 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -5*a**3 + 4*a**2 - 9. Let p(k) = -9*k**3 + 5*k**2 - 6*k - 18. Let o(j) = j**3 + 2*j + 3. Let z(w) = -3*o(w) - p(w). Give 5*d(r) + 4*z(r).\nAnswer: -r**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -52931, -52787, -52643, -52499, -52355?\nAnswer: -52211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**3 - 10*o**2 + 8*o + 13. Let f be x(9). Suppose 2*h**3 + 3*h**f - 4*h**4 - h**3 = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 at most 135\/82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -25*o**3 + 86*o**2 + 29. Let m(z) = 9*z**3 - 29*z**2 - 9. Determine -11*m(g) - 4*x(g).\nAnswer: g**3 - 25*g**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the third derivative of -1\/3*r**4 + 0 - 4*r**2 + 0*r - 1\/60*r**5 + 2*r**3. Let w(b) be the first derivative of y(b). Give w(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a**2 + 24*a + 144 = 0 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -11, -93.\nAnswer: -93, -11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 35345128.15 to the nearest one million.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 1. Let x(l) = -11*l + 3. Let h be (-5)\/2 + 5 + (-126)\/36. Give h*x(p) + 5*w(p).\nAnswer: 11*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1142 = 88*m - 262 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5\/4, 0.2, 0.4, -1\/3.\nAnswer: -1\/3, 0.2, 0.4, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1.2 or -0.0018?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 16*v**4 - 18*v**3 + 8*v**4 + 22*v**3 + 3*v**2 in the form k*v**2 + c + p*v**3 + u*v**4 + t*v and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c + 2*c - 2*c**4)*(-3 + 6 - 2)*(-2 + 0 + 1).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 10182 + 0?\nAnswer: 10182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 14*t**3 + 5*t**2 - 5*t. Let m(p) = 21*p**3 + 7*p**2 - 7*p. Let n be (-3 + 9\/6)*70\/21. Give n*m(a) + 7*y(a).\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 228 and 8?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 81060.81 years?\nAnswer: 81.06081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 3*l**2 + 2*l + 1. Let h be z(-1). Let y = h + 3. Suppose -y*d + 45 = -3*r, -5*r + 3 - 16 = 2*d. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 76 divide 4607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(-1))\/((m*m\/((m**2*m)\/m))\/m*m*m)*(m\/(m\/(m*m**3*m)))**(-29) assuming m is positive.\nAnswer: m**(-146)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*j**2 + 9*j**2 - 36*j**2 - 5 - j**2 - 23*j**2.\nAnswer: -41*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:59 PM and 3:17 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**0*d)\/d)**31*(d**(-1\/2))**(-25) assuming d is positive.\nAnswer: d**(87\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + (0 - -1 - (-1 - 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 51521701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1215, -3641, -7683, -13341?\nAnswer: -20615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1449 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w. Let n(b) = b**2 - 10*b - 9. Let c be n(11). Let z be 8\/c + -5 + 1. Suppose z = -g - 4*g + 15. What is a(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide (1\/(-2) + 2)\/((-8)\/(-1152))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2561301 = -342*v + 347*v + b, -2*b = 5*v - 2561297. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express i**2 + 2*i + i**2 - 5*i**2 as d*i + y + o*i**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -4475, -8754, -13033, -17312, -21591?\n\"Answer: -4279*t - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9067.37l to millilitres.\nAnswer: 9067370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -4*j**2 + 542*j + 52660. Determine l(201).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.976 - 0.024. Let k = 1.1 - -4.9. Let g = -1 + k. Which is the closest to z?  (a) g  (b) -1\/9  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 46993.21 litres?\nAnswer: 46993210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -115*i + 59*i = -c - 59*i + 17, -4*c - 3*i + 32 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from xzzxzxxxzz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -62 in -1.16, 2, 0.25?\nAnswer: -1.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 143.5  (b) 0.1  (c) 1\/38  (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 697236 and 370182?\nAnswer: 71815308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1, 7, 6 in ascending order.\nAnswer: 1, 4, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.82 + -0.02. Let f = 1.7 + i. Let o = f - 0.5. Which is the nearest to 1?  (a) -0.3  (b) -1\/4  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**3 - 6*i**2 - 5*i + 4. Let g be c(-5). Let r = 0 + g. Suppose -r + 14 = 5*j. Calculate the remainder when 5 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -410.613837 + 448.61375. Let h = -38 + c. What is h rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 481*b = 489*b - 64. Solve 797 = -b*g + 765 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**3 + 39*z**2 - 297*z - 311. Give x(28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**3 + r**2. Let x(n) = -8*n**3 + 29*n**2 - 15*n + 7. Let d(c) = 6*f(c) - x(c). Is 3 a factor of d(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t = 22214 + 23069. Is 102 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2713967*l**2*r**3 - 3*l**2*r - l*r + 30991194*r**3 wrt l.\nAnswer: 5427934*r**3 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 477102.9 decades?\nAnswer: 4771.029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*w**4 - 1048*w**3 + 65428*w**2 + 421296*w + 646416.\nAnswer: 4*(w - 134)**2*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + s = 0, 4*a - 3*s - s = -12. Let r(l) = 23*l**2 + 16. Let k(m) = 1. Let c(t) = a*k(t) - r(t). What is the derivative of c(o) wrt o?\nAnswer: -46*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes after 1:53 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89*n - 91*n - 128 = 0. Let a = n + 74. Suppose a*r = 15*r - 1120. Is 32 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1801939039.\nAnswer: 1801939039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1, 12, -5, 0.\nAnswer: -5, -2, -1, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (1\/4)\/(23\/46)*-6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 61*w**2 + 3700*w - 377. Determine n(-62).\nAnswer: 4707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.072 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 516072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the first derivative of 5*h**6\/24 - 2*h**5\/3 + 5*h**4\/24 + 5*h**3\/3 - 63*h**2\/2 + 10. Let s(t) be the second derivative of u(t). Factor s(c).\nAnswer: 5*(c - 1)**2*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -120 (base 4) to base 14.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/5)\/((-3)\/(-3)*-5)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 5*x = -23, 3*q - x - 3 = 6. Suppose -23 = -3*h + 2*g, 44 = q*h - 2*g + 6*g. What is the smallest common multiple of 7 and h?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the first derivative of -a**4\/4 + 5*a**2\/2 + 8. Find the second derivative of b(v) wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 572935?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1\/4)*h\/((h\/h**(-1))\/h))**(1\/3)\/(h**(-18))**38 assuming h is positive.\nAnswer: h**(8207\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -4*g + 1. Let p be s(3). Let t = -1 + 1. What is the units digit of t\/(-1) - (p + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zcoocotiootocca. Give prob of picking 2 o and 1 t.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*p - 2931 + 2367 = -1686 for p.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t - 12. Let r(o) = 3. Let p(m) = -m**3 - m**2 + 3*m + 3. Let n be p(-3). What is n*r(d) + 3*b(d)?\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 78 a factor of 3276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - 7 = 5*m, -556*m + 51 - 85 = -561*m + 2*a - 45 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 minutes before 1:34 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0.04 times 3745.89\nAnswer: 149.8356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79 = -2*v + 109. Solve -4*k - k + 5*d = -v, 3*k + d + 11 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3187?\nAnswer: 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - 23 - 8 = -2*w, 5*w - 35 = -4*t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03101962482 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(20) - -3*(sqrt(20) + -2 + sqrt(20) - sqrt(20))**2 - (sqrt(20) + sqrt(40)\/sqrt(2))*-6.\nAnswer: 2*sqrt(5) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**2 - 3*y + 6. Let q(m) = 3*m**2 - 7*m + 13. Let i(u) = -2*q(u) + 5*r(u). Let l = 6 - 9. Give i(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-109)\/(3\/4*(11 + 21)) and 1\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -81.6 + 82. Sort -1, 2, q in ascending order.\nAnswer: -1, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -w**2 + 0*w**2 + 0*w**2 + (-573*w + 275*w + 172*w)*(-w + 5*w - w) - 2 + 5*w**2 + 2 in the form u*w + q + s*w**2 and give s.\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 15 + 14)*(0*a**4 + 5*a**4 + a**4).\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.79 - 1.9. Let f = y - 1.89. Let u be 0 + ((-6)\/(-4))\/1. Which is the smallest value?  (a) -0.2  (b) u  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.18*852397\nAnswer: 153431.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 93751 - 1.\nAnswer: 93750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 561 and 99.\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -639.503 - -639. Let f = y - -3.533. Round f to 1 dp.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 2*d. Let s(i) = -5*i + 27. Let l(n) = -2*n + 9. Let q(a) = 8*l(a) - 3*s(a). Let k(g) = -2*g - 14. Let p(r) = 5*k(r) - 8*q(r). Calculate p(t(y)).\nAnswer: -4*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -12*t**4 - 2*t**3*z - 43*t**2*z + t**2 + 251*t + 6*z wrt t?\nAnswer: -144*t**2 - 12*t*z - 86*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**3 - 9*t**2 - 20*t - 8. Does 27 divide k(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4957, -9912, -14867?\nAnswer: -19822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(56)\/(sqrt(24)\/sqrt(27)) - 5*sqrt(42)\/sqrt(54)))**2.\nAnswer: 112\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -k - 145392, -5*s - 39562 = k - 221284. Calculate the highest common factor of 17 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of ((-32)\/6)\/(((-364)\/78)\/14) and 17.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16528973 + -4455.\nAnswer: 16524518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 186270 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**3 - 13*x**2 + 7*x - 4. Let m be t(12). Let b be 12 + -13 + 7 - m. Let r be 26 + -4*(-1)\/2. What is the highest common factor of r and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -2*t + 14. Let x be m(10). Suppose -14*f + 10*f + 24 = 0. Let g(s) = -s. Let w be g(f). Do w and x have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes before 11:42 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12587?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 687 - 687.0597. Let p = k + 5.0597. Let u = 0.9 + -0.5. Which is the second smallest value?  (a) p  (b) 8  (c) u  (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -7 + 4bc3?\nAnswer: 4bba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 606 and 606260176?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 74147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t + 4*v + 99 - 43 = 0, -3*v - 44 = 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from apapaaqpa. Give prob of sequence pa.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gggdddbbggdgdgd. What is prob of picking 2 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 52500 and 315.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z + 6 = 3*d, 3*z + 22 = 39278*d - 39277*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4, -17, -40, -79, -140, -229, -352?\nAnswer: -515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xtt when three letters picked without replacement from {x: 1, y: 2, t: 4, n: 5, q: 1, a: 2}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -29 - -62. Suppose 4*t + 0*n + 2*n = 0, 0 = 3*t - 4*n. Suppose 0*m + 9*m - 1485 = t. Calculate the greatest common factor of m and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -17240 + 20273. Does 101 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32287 divided by 389?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the second derivative of v**5\/20 - v**4\/3 + 12*v. Let y be o(4). Solve -1 + y = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 380 and 171?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -442021034 (base 5) in base 3?\nAnswer: -10120220210111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 0 + 2)*(-2*r + r - r)*(-2*r + 6*r + 0*r) as k*r + p*r**2 + u and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 7*q**2 + 20. Is f(-9) a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4\/(24\/(-45))*32\/(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 0*u**3 - 33*u**3 + 314*u**2 + 69*u**2 + 664*u**5 + 29*u**3 wrt u.\nAnswer: 39840*u**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 5, j: 4, c: 1, q: 3}. Give prob of sequence jq.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -5*k + 74. Let z be (10\/3)\/(2\/(-6)). Let i = k + z. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1959 - -5216. Suppose -37373 = -14*g - y. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1154, 1148, 1138, 1124?\nAnswer: 1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 187?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*y - 112*y**2 - 16*y - 75*y**2.\nAnswer: -187*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 9655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -175 smaller than -177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -119\/3520 and -11\/7360.\nAnswer: 80960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 - 1. Calculate the common denominator of o + 334\/12 + -2 and (5\/25)\/((-4)\/230*9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**3 - 46*b**2 + 520*b + 44. What is l(22)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 834 and 9313?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -5*x**3 + 1870*x**2 - 109495*x - 111370 = 0.\nAnswer: -1, 74, 301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j + 2. Let t(o) = -o - 2. Let w be t(-2). Let q be y(w). Suppose -n = -3*n - 10, -120 = -5*p - n. Solve -3*r - p = q*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u**2 + 14*u - 9. Let j be b(13). What is the second derivative of 36*x**5 + 17*x**5 - 48*x**3 - j*x - 8 + 48*x**3 wrt x?\nAnswer: 1060*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 AM and 2:40 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -521 != -522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4741 is divided by 860.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((4\/(-6))\/1)\/(200\/(-75)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 - (-49 + (-14 - 4) + -1 - 2).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*(sqrt(104) + sqrt(104)*1))\/(sqrt(648) + sqrt(648) + 1*sqrt(648)))**2 - (1*sqrt(13) + 1 + -5 + 5)**2)*4.\nAnswer: -40616\/729 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p - 4. Let z = 18 - 27. Let h(b) = 5*b - 16. Let w(q) = z*d(q) + 2*h(q). Let a be (3\/(-4))\/((-1)\/(-4)). Let s(t) = -t - 5. Determine a*s(m) - 4*w(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 5*c + 3. What is s(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 64aa9 (base 11) in base 16?\nAnswer: 17123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.2278418 to 3 decimal places.\nAnswer: 7.228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -140, -137, -136, -137?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2005 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d - 4733 + 4713 = -2*i, i = -8*d + 21 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (40\/(-12))\/(14\/21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3 + 337 + 3)\/(3\/3). Let p = w + -85. Suppose -4*q + 1400 = -p. Calculate the highest common factor of q and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 67 + -67. Suppose -3*j - 9 = 3*y, k = -2*y - 3*j - 16 + 5. Solve -y*c + 0*c + 6 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 148783676737522 and -2.\nAnswer: 148783676737520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17)\/(-12) + 10*(-13)\/1560?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2225000 to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -2297*t - 95. Let f be d(-7). Suppose 4*l - 3*n = 21277, 0 = l + 2*l + 3*n - f. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 963899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 - -4. Let o = 46 + -44. Calculate the remainder when o is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 33624873?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**2 + 7*z + 1. Let n be w(-8). Suppose -14 = 2*u + v - 3, 5*v + 10 = 5*u. Is u\/n*-8*3 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 211022 + 0?\nAnswer: 211022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*p**2 + 401*p**2 + 78*p**2.\nAnswer: 456*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 2*v**2 - 56*v + 12. Calculate the least common multiple of b(31) and 16.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -21980*d**3*p**2 + d*p**2 - 455*d*p - 4*p**2 wrt d?\nAnswer: -131880*d*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iiipcdiqcqpc. Give prob of picking 1 p, 1 c, and 2 i.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 2*k**2 - 9*k + 10. Let s be v(2). Suppose 6*u - u + 2*q + 5 = s, 4*u = 2*q + 14. What is the nearest to u in -2\/23, -25, 5?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 100833 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 divided by 45?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -76, 94319, -6 in decreasing order.\nAnswer: 94319, -6, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 62383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the third derivative of 3\/8*c**4 + 0 + 0*c + 5*c**2 + 0*c**3. Let a(v) = -v. Calculate a(g(q)).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11970953 is divided by 576.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in -41, -4, 5, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -6 - 6. Let t(r) = -r - 4*r**2 - 2*r - 4 + 220314*r**d - r**2. Let a be t(4). What is a rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -30 and -4629 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-26) + (-1045)\/1430)\/(((-84)\/808)\/(-21)).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3617533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 23\/78 - 1\/(-26)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, k: 1}. Give prob of sequence yy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12 + 24. Suppose -5*k + x = -2*j + 4*j, 5*k + 36 = 2*j. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/564 and 23\/1504.\nAnswer: 4512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.441779g in micrograms?\nAnswer: 441779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dhu when three letters picked without replacement from {q: 4, d: 1, u: 1, h: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16920 and 5520.\nAnswer: 778320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) -1  (b) 3\/4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 442040411 (base 5) to base 14\nAnswer: 37990c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (28\/5)\/(2\/(-60)). Let w = g - -291. What are the prime factors of w?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 283 a factor of 101031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w - 1. Calculate the smallest common multiple of 4 and d(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*m**3 - 230*m**2 - 2995*m + 10920.\nAnswer: 5*(m - 56)*(m - 3)*(m + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 9861223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9791 is divided by 392?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wdsswsswoww. What is prob of sequence wow?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16555888.\nAnswer: 2, 61, 16963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -77*t**3 - 2*t**2 - 2*t - 1. Let w be 198\/(-154) + 2\/7. What is the tens digit of f(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -99*n**4*r**2 - 37*n**4 - n**2*r**2 + 7*n**2 + 313*n*r**2 + 2*n wrt n.\nAnswer: -2376*n*r**2 - 888*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*a - 1 = 26*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 0 + -1 + (1 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -122 + -10.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 7 = 2. Suppose 0 = 3*x - i*p - 2871, 5*x - 4779 = -2*p - 25. Suppose -4*t = -4*c + 940, -4*t + 3*t - x = -4*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (83 - -11) + 3 + (-10 - 11) - -20\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3.92 + 0.\nAnswer: -3.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**2 - 7*g + 21. Let c be z(5). Let n(j) = 3*j**2 - 22*j + 27. Let p be n(c). What is the remainder when p\/10 - 5\/(-25) is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8696893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/1 + 45\/5. Let z = 5 + -2. Let l(k) = -5*k**2 + 0 - 3*k**z - 7 - 56*k + 50*k + 4*k**3. What is l(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 206167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in -1, -0.5, 455, 5, -324, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 2, n: 1, i: 3, e: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -25b7e + 5?\nAnswer: -25b79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**2 - 1 + 2 - 2*p**2 + 0*p**3 - p**3. Let z = -30 + 28. Determine c(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1899 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**3 - v + 11. Let h be u(0). Suppose 2*f = 43 + h. Let t = 24 + f. What are the prime factors of t?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.013611 minus 2717634?\nAnswer: -2717634.013611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 20 = -5*v. Solve -2*i + 3*i + v = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 187 = 9*a + 29*a - 1029. Solve -a*m = m - 198 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (14 - 12)\/(1\/(-15)*-2). Sort -2, a, 1 in decreasing order.\nAnswer: a, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/6174293 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 10011120 (base 3) to base 11\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.9 - -1.57. Let m = n - 45.67. Let s = m + 45.00000096. What is s rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h*h**(3\/13)*h*h*(h\/(h*h*h**16\/h))\/h*h*h**(-11\/4)\/h**(-6\/5) assuming h is positive.\nAnswer: h**(-3723\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 192 and 30976?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -274 minus -191959022?\nAnswer: 191958748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:57 PM and 1:57 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the first derivative of -37*q**6\/72 - 130*q**3\/3 - 122. Let f(v) be the third derivative of l(v). Let m(d) = -2*d**2. Calculate f(m(b)).\nAnswer: -740*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54 = 2110*h - 1057*h - 1056*h for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 26562\/14 - (-2)\/(-7). Let b = -1130 + t. Let z = -14579\/19 + b. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -806\/5 - -162. Which is the second biggest value?  (a) -1  (b) i  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 599358.3 nanograms?\nAnswer: 0.5993583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*l - 3*l + 0*l + (0 - 2 + 1)*(3*l + l - 2*l) + 92*l - 18*l + 16*l.\nAnswer: 89*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-7272)\/162 - -45 - (1 + (-311)\/180) and -119\/100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 663983437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -262*k + 534*k + 215*k + 47 + 265*k.\nAnswer: 752*k + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 3*p + 5 - p + 2*p - p - 2*p - 6*p - 3*p + 7*p + (-p + p + p)*(2 + 1 - 5) in the form r + k*p and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1379908?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**2 - a - 7. Let d be o(-3). Let v be (6\/5)\/(2\/d). Solve 0 = -3*f + 2*f - 4*z + 16, -4*f = v*z - 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*z**2 - 2*z**2 - 8*z**2)*(-164*z + 66*z + 72*z + (4*z + 0*z - 5*z)*(3 + 1 - 5) + 3 - 7 - 5*z + 2) to u + c*z**2 + g*z**3 + o*z and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 208 or -18209?\nAnswer: -18209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*s - 3*s + 2*s)*(-15457 + 21*s + 15457) to the form l*s**2 + r*s + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2.4 and 1516?\nAnswer: 3638.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-387)\/2)\/((-30)\/(-40))*16\/(-48). Solve -26 - i = -16*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 52162 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 43.66564t?\nAnswer: 43665640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 9\/367522705 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 501650 + -1013?\nAnswer: 500634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**3 + 116*u**2 + 757*u - 3107. Give r(122).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the first derivative of -k**4\/12 - k**3\/6 + 25*k**2\/2 + 17*k - 16. Let t(x) be the first derivative of q(x). Give t(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 245086677 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4105315 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:49 PM and 5:35 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*p = -2720 + 65. Solve 56 = -p*s + 31*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c**2 - 33190*c - 55078805 = 0. What is c?\nAnswer: -3319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3078 + -3184 - (-92 + 0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 603345541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 1*(-3 + sqrt(1008) - sqrt(1008)) + 3 + sqrt(1008) + 1*(sqrt(1008) + -4))**2.\nAnswer: -384*sqrt(7) + 4096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11 by 6.\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**3 + 27*a**2 - 152*a + 16. Let q be k(19). Solve q = -c - 12*p + 8*p, 0 = -4*c + p + 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 4218*l**2 - 7*l - 8. Let k be v(-8). What is k rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence po when two letters picked without replacement from {z: 2, o: 2, p: 1, j: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 times 1?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 827 + 6120. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 8 = 0, -27*z + 22*z = -m - 23. Let a(b) = 8*b**3 + 6*b + 8. Let x(q) = -2*q - 7 - 3*q**3 - 4*q**3 - 3*q. Give z*a(l) + 6*x(l).\nAnswer: -2*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.5 + 11.5. Let i = 29 - v. Let b = 17.056 - i. What is b rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 965431\/9 + -107270. Let x = 4 + 0. Which is the closest to -1\/4?  (a) x  (b) t  (c) 3  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22929*o + 45911*o - 22970*o + 15.\nAnswer: 12*o + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) -1\/4  (c) 1.187\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4481441649 to the nearest integer?\nAnswer: 66944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes after 10:15 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**3 + 6*v**2 - 3*v - 1. Let z be k(2). Let u(d) = z - 15*d + 3 - 12. Let f(p) = -4*p. Calculate f(u(r)).\nAnswer: 60*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**2 - 7*o + 3. Let l be t(-7). Suppose l*g = -0*g + 51000. Round g to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, 150, 1, 67, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 189 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the first derivative of 11*q**7\/840 + 19*q**4\/24 + q**3\/3 - 6. Let c(v) be the third derivative of m(v). What is the derivative of c(b) wrt b?\nAnswer: 33*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 7\/2 - (-2)\/(-4). Solve 2*m - 1 + p = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*s + 106 = 22 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (16 - 9 + 0)*(6*j - 4 + 4) + ((1 + 2 - 4)*(-3 + 4 - 2) - 3 + 1 + 3)*(-j + 2*j + j) to the form b + f*j and give f.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -732 - 1110*w + 338 + 394 + 3779*w.\nAnswer: 2669*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 474 + -625. Let p = r + 109. Which is smaller: -44 or p?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21027*0.313.\nAnswer: -6581.451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttmfffbtfmbtntfmfrb. What is prob of sequence bn?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 + 16 - (0 + -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 25*f**3 + 302*f**2 + 36*f + 95. Determine c(-12).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x**4\/6 - 159181*x**3\/3 - 371428*x**2 - 795921*x - 955107\/2 = 0. Calculate x.\nAnswer: -3, -1, 318369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 143, 249, 377, 527, 699, 893, 1109?\nAnswer: 1347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-8)\/6*((-14)\/4 - -2). Let c be 4\/(-11) + (-3)\/33*n. Let y(h) = h. Let r be y(-1). Which is greater: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2567437263 and -9.\nAnswer: 2567437254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*z - 51*z - 6 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: a (base 16) to base 12\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7\/19 in -0.1, 0.3, -35, -3\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 11 in -1\/2, 0.1, -23?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-19)\/((-228)\/(-8)))\/((-10)\/(-75))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) -0.08  (c) 75  (d) -2\/13  (e) -0.3  (f) 1\/125  (g) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 54817.33mg in nanograms?\nAnswer: 54817330000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10.47 - 1.07. Let j = 46.6 + a. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from afafcacfa. What is prob of sequence cc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 63, 169, 275, 381, 487?\nAnswer: 593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x\/x**(-1\/25))*x\/(x**29\/x))\/(x*(x\/(x**(-2\/29)*x))\/x)**(-42))**(7\/4) assuming x is positive.\nAnswer: x**(-30632\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 334\/(-10521)*1*9.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000457161 to six dps.\nAnswer: 0.000457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1c74ad + -17?\nAnswer: -1c74c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2550 + -1379. What are the prime factors of w?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j*j\/j**(2\/15)))**20 assuming j is positive.\nAnswer: j**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u**2 + 3*u**2 + 14*u**2)*(219*u - 219*u - 298*u**2 + (2*u - 5 + 5)*(2*u - 4*u + u)).\nAnswer: -5700*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 2 + 1)*(53*g + g + 32*g) + 99*g - 7*g - 2*g + 69*g in the form z*g + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-78)\/(-14) + 9\/21. Suppose -o*y + 4349 - 479 = 0. Suppose 2*a - 193 - y = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*z**2 - 44*z**2 - 51*z**2 + 235*z**2 - 54*z**2 - 55*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1376*g - 48 + 9 = 5*j + 1375*g, j + j - 47 = 2*g - 77 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:33 PM and 3:55 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*m**2 - 11*m**2 + 90*m - 9 + 5 + 34*m**2.\nAnswer: -2*m**2 + 90*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 218115929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 2*s**2 + 161*s - 241. Give t(-82).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -3, 1, -1, 3, 1965 in ascending order.\nAnswer: -5, -3, -1, 1, 3, 1965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 16*h - 50*h - 2*h + 9*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-420654)\/108 - (-2)\/(-1). Let f = 3896 + l. Calculate the common denominator of 115\/54 and f.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the third derivative of -s**4\/12 - 25*s**3\/6 - s**2 - 393*s. Determine t(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33885265?\nAnswer: 5, 19, 18773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10 - 5) + 8 + (1 - 24) - 9.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20284 and 2332?\nAnswer: 1075052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8957 and 2512354.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/125 of a millimeter in nanometers?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102*l = -t + 148, -3*t + 1883 - 1439 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 2*o + 19 = 0, 0*o + 5*o + 25 = 0. Solve 4 = l*w - 2*r - 2*r, 0 = -5*w - 2*r - 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -j**2 - 675 + 3*j**2 + 675.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes after 4:30 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 77939.6 decades to months.\nAnswer: 9352752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the first derivative of -11*g**4\/2 + g**3\/3 - g**2\/2 - g + 9. List the prime factors of j(-2).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 5, -83\/20, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 5*k - 20. Let l(m) = -41*m + 332. Let f be l(8). What is p(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**(3\/5))**(2\/39)\/(b**(-1\/5)\/b*b)**(-2\/19))**(-29))**(-3\/35) assuming b is positive.\nAnswer: b**(1044\/43225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 23 = -3*c, 10 = 5*c + d + 2*d. Suppose s + 5*v = 5*s - 8, v = 0. Let u(b) = -1 + 2 - 2*b**s - 4*b**2. Determine u(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 5*b + 5*v, 3*v + v = 3*b + 4. Suppose 4*a - 9*a + 16 = k, 4*a + 3*k - b = 0. Solve a*l - l + 6 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 102.88786819617 - -0.11213286383. Let x = k + -103. What is x rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1440341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 y and 1 x when four letters picked without replacement from yxyytttxyxtyyyytt.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 10\/(-14) + (-2)\/7. Let q be 1\/((-18)\/(-20) + y). Calculate the remainder when 20 is divided by 22\/(-8)*(q + 6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3615\/(-210) + 17)\/(1\/2 - 0)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -8*a**4\/5 - 31188*a**3\/5 - 6080880*a**2 - 15194404*a\/5 = 0.\nAnswer: -1949, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v**4 - 78588*v**3 - 157179*v**2 - 78590*v = 0. What is v?\nAnswer: -1, 0, 78590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 2132*((-15)\/6)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * 2978.4\nAnswer: -1191.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*i + 8 + 0 + 11*i.\nAnswer: 2*i + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*(1\/(-12))\/(-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - 16420602?\nAnswer: -16420566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 38*q**2 + 425*q + 100. Is s(20) a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 13 = -4*r, -5 = -3*d - 2*d. Let y(g) = g**2 + r*g**3 - 1 - g - 11*g**3 + 5*g**3. What are the prime factors of y(-2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 85821.71 millennia to centuries.\nAnswer: 858217.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 12 = h. Suppose 3*j = h + 9. Let v(p) = p**3 - 8*p**2 + 9*p - 9. What is the lowest common multiple of 6 and v(j)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 14250 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*222.256.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**3 - 78*v**2 - 973*v + 60. Let p be h(89). Solve 579*y - p*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 8\/(-44) + (-68)\/(-11). Suppose -3*w - 24 = -3*v - z, 0 = 3*w + 6. Solve v*d - 18 - 2 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 157*b + 203*b + 60*b - 2100 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-487)\/(-2) - (-9)\/18. What is the common denominator of 147\/w + (-10)\/(-40) and 85\/2?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 5*o + 8*n + 1835, 2*n + 10 = 0. Calculate the common denominator of ((-2)\/8)\/((-6)\/74) and o\/(-92) + 21\/((-147)\/14).\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -113 (base 8) in base 5?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 3*a**3 + 174*a**2 + 84*a + 202. Is c(-57) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a + 26. Let q be m(4). Let u = q - 17. Suppose u*x - c = 481, -193 = -2*x + c - 0*c. What is the highest common factor of x and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 + 3 + (-14 - -9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 4 = -0, 0 = -2*p + 3*m + 16. Let w = -0.1 - 0.1. Which is the second smallest value?  (a) -0.01  (b) w  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -47.81 - -52.8. Let u = -5 + d. Which is the closest to 0.1?  (a) -2  (b) -2\/3  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25420 divided by 5.\nAnswer: 5084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k + 7. Let b be o(-7). Suppose -3*v + 4*v = b. Factor 0 + v*d**3 + 4\/5*d**4 - 2*d**5 + 0*d**2 + 0*d.\nAnswer: -2*d**4*(5*d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-14)\/(-4) - (-35 + (-450)\/(-12)). Let b(m) = 4*m**3 + m. Let p(q) = q**3 + q. Give g*b(n) - p(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -4*n**2 + 5*n - 1. Let d(j) = -5*j**2 + 6*j - 2. Let l(s) = 3*d(s) - 4*u(s). Let t be l(3). Which is the nearest to t?  (a) 0.5  (b) 2\/13  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 126 a factor of 27194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79975746?\nAnswer: 2, 3, 4443097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*p - 43*p + 2204 = -18*p for p.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/4  (b) -3  (c) -3213\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1845 or -11226\/31?\nAnswer: -11226\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**3 + 11*a**2 - 2. Give t(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.1 - 2. Let v(z) = 5*z**2 - 13*z - 6. Let c be v(-7). Suppose 18*j = -c + 1014. What is the closest to j in -4\/9, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*n = -60*n + 88*n - 756 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66*a + c + 4 = -71*a, -4*c = 5*a + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 340 - 340 - 24*r**2.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 2 i when three letters picked without replacement from jctjixjcjijccci?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/1950 and 16\/7.\nAnswer: 13650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.8222654ng?\nAnswer: 0.0000000000000008222654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 4*l = 12, -3*z + 4*l + l - 4 = 0. Let g(u) = 2*u**z + 2*u**2 - 3*u**2 - 3*u**2. Let y(x) = x. Give g(y(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 4, 5*o = 4*w + 9*o + 40. Let h(b) = 2*b**3 - 6*b**2 - 6. Let f(i) = -2*i**3 + 7*i**2 + 7. What is w*f(g) - 7*h(g)?\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x**5 - 2570*x**4 - 1526834*x**3 + 162512168*x**2 - 314285037*x - 478321470 = 0.\nAnswer: -1331, -1, 3, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 - 11)*(w - 1 + 1) + 11 - 11 + 5*w to the form v + r*w and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 4*m - 6. What is the lowest common multiple of m and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -2*b + 57. Let a(g) = g**3 + 5*g**2 - 7*g + 4. Let c(l) = -l - 3. Let i be c(3). What is the smallest common multiple of h(23) and a(i)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**3 - 23*i**2 - 22*i - 46. Let p be q(24). Differentiate y**2 + 4*y**2 - 18 + 2*y**p + 11*y**2 with respect to y.\nAnswer: 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3, 20, 71, 174, 347, 608?\nAnswer: 975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.4361 - 2.304. Round q to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**3 + 7*n**2 + 2*n - 4. Let d be m(-6). Suppose -31*k + 2585 = -d*k. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 31 and 434?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**(-2\/3)*d)\/d**8)**(-13\/4))**6 assuming d is positive.\nAnswer: d**(299\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1403048.98 rounded to the nearest one hundred?\nAnswer: -1403000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 12*y - 4. Let v be o(3). Let m = v + -28. Suppose m*l - 4*u = 64, -l + 6*u = 4*u - 11. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-12)\/8 - (-60)\/8. Solve -8*w = -r*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-40983)\/(-76) + 3\/4. Calculate the highest common factor of 5340 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (27\/84)\/((-6)\/7)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 81 + -453. Let l = -334.4 - k. Round l to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35 divided by 35.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -19 + 31. 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: Two letters picked without replacement from {l: 2, p: 3, z: 4, u: 1}. Give prob of picking 2 z.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.3 - 0.1. Let d = -1532 + 1531.7. Sort x, -1\/6, -4\/3, d in increasing order.\nAnswer: -4\/3, x, d, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve y**4 - 63*y**3 + 960*y**2 + 1024*y = 0.\nAnswer: -1, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -4389*c - 28772. Calculate i(-7).\nAnswer: 1951","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + ((sqrt(1088) - (sqrt(1088)*-5 + sqrt(1088))) + -2 - (3*sqrt(1088)*1 + sqrt(1088))) + 3 + 2)**2.\nAnswer: 80*sqrt(17) + 1113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -290, -1164, -2622, -4664, -7290, -10500, -14294?\n\"Answer: -292*x**2 + 2*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -6 - 10. Let r be ((-10)\/y - 3)*2. Let z = 5 + -1. What is the nearest to 1 in r, z, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/((1200\/(-6))\/(-20))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes after 5:26 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 5*a - 605 = 0, -1449*a - 141 = -s - 1453*a. Suppose -4*o = o - 630. Is s != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -7.6919 = -1.88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41916926?\nAnswer: 2, 19, 79, 13963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:35 PM and 12:24 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 + 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i - 9. Let a be g(-12). Let d(h) = -2 + a + h - 1. Let x(f) be the first derivative of -13*f**2\/2 - 962. What is d(x(s))?\nAnswer: -13*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*v + 2*v + 20. Suppose -2*k + 4 = -b - 13, -2*k - v*b = 13. Factor 7*a**5 + 3*a**5 - 3*a**3 + k*a**3 - 12*a**4 - 3*a**5 + 2*a**2.\nAnswer: a**2*(a - 1)**2*(7*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**3 + 44*k**2 - 90*k + 73. Determine c(-46).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 0*d = -3. Suppose -4*t + 39 = 2*l - 9*t, -3*l = 3*t - 27. Calculate the remainder when (-3)\/(4\/44*d) is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 592*z = -589*z - 4, 2*l + z = 0. Which is the third smallest value?  (a) 73  (b) 2  (c) l  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -116 - -116. Let d(o) = o**3 + 26. Determine d(t).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**2 + 3*v + 11. What is the units digit of s(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 16) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 58 = -328. What is the remainder when 448 is divided by (6 + -3)\/(a\/(-738))?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23 + -0.31.\nAnswer: 22.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*z - 6*z - 5*z + 30*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-51)\/(-2)*950\/8075. Let p = -108 + 189. What is the greatest common factor of m and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**2 - 2. Let s(v) = -43*v + 24. Let o(m) = 34*m - 20. Let b(j) = -6*o(j) - 5*s(j). Calculate b(l(x)).\nAnswer: -11*x**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - s - 92 = 0. Let p(t) = -t**2 + 21*t + 47. Let x be p(s). Which is smaller: x or -5\/8?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*c**2 + 50*c + 2*c**3 - 50*c)*(0*c + 0*c + c).\nAnswer: 2*c**4 - 5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 24942549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**2 - 11*n + 27. Let q be m(9). Suppose -r + 25 = 4*r. Solve -2*i = 2*z + 14, -3*z = -4*i - q - r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 388729 is divided by 64558.\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 32*s**2 - 689*s + 1295. Give a(20).\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.063 - -48481.\nAnswer: 48481.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4162, 8345, 12570, 16861, 21242, 25737, 30370, 35165?\nAnswer: 40146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (42 - 43)*6\/(-14).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 119 = 4*g - 683, -5*o = 4*g - 805. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.56 + -9.54. Let w = 10 + s. Which is smaller: -0.8 or w?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 10856*n**2 - 1003*n - 2006. Let o(w) = -65*w**2 + 6*w + 12. Let t(m) = 6*b(m) + 1003*o(m). Let z(i) = 4*i**2. What is t(z(s))?\nAnswer: -944*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 4313 (base 5) in base 16?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*u - 11*u - 19*u)*((3 - 3 - 2)*(0*u**2 + 0*u**2 + u**2) - 15*u**2 - u**2 + 2*u**2) to the form m*u**2 + a*u**3 + i + w*u and give a.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 4470, 4469, 4468?\n\"Answer: -r + 4471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5727\/5600 - -3\/350. Which is smaller: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(7\/5)\/k*k*k**8\/k)\/((k*k**(9\/4)*k)\/(k*k**(-1\/2))) assuming k is positive.\nAnswer: k**(113\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -34097*t**5 - 533*t**4 + 6*t**3 + 3*t**2 - 7061*t + 8938.\nAnswer: -2045820*t**2 - 12792*t + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2035520 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 348267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 40 = 3*n, 12*n - 8*n + 3*k - 53 = 0. Suppose n*o = 23*o. Solve x + 4*x + 0*x = o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the first derivative of -2*k**3 + 110. Let q(r) be the third derivative of -r**5\/15 + 5*r**2. Calculate y(q(f)).\nAnswer: -96*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -26 + 20. Let r = n + 8. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes before 9:04 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 99 - 87. What is the remainder when (-626)\/(-18) - (-2)\/9 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23 - 3*k + 20 - 54)*(2*k**4 + 1 - 1).\nAnswer: -6*k**5 - 22*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 21 = -2*z - 45, 21 = r - 2*z for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - b + 6*b + 24 = 0, 2*y + 12 = -2*b. Let x be ((-2)\/y)\/(4\/144 - 0). Which is bigger: 15 or x?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-12)\/20 + 3\/5. Suppose v = -3*w - 3*u - 6, w + 3*u - 6*u = 10. Let p = w - 6. Put p, 4, 3 in ascending order.\nAnswer: p, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -137*k**2 + 5*k - 2. Let o(c) = 147*c**2 + c + 3. Give -2*o(i) - 3*u(i).\nAnswer: 117*i**2 - 17*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + -1 + 9 + 2 - -5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve j**4 + 317*j**3 - 964*j**2 - 1280*j = 0 for j.\nAnswer: -320, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -87636099.00000014 - -87636105. Let z = -4 - 2. Let f = z + o. Round f to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f + 13. Let n be d(-10). What is the closest to 0 in n, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**3 - 5*x**2 + 7*x - 1. Let b be k(-6). Let p be (-5664)\/(-21) + (-2)\/b. Calculate the lowest common multiple of p\/20 + 1\/(-2) and 11.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28344444?\nAnswer: 2, 3, 239, 9883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -107\/2 or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:32 PM and 6:40 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 207 and 94599?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 86\/8 + (-4)\/(-16). What is the highest common factor of f and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + 3*q - 13, -q + 113 = 5*h + 2*q. Let x = h - 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16833672 a multiple of 2312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -7b385 (base 14) to base 4\nAnswer: -1021030121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 8\/1152647 and -23\/362762.\nAnswer: 71464114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a**5 - 420*a**4 + 2428*a**3 - 5196*a**2 + 4768*a - 1584 = 0. What is a?\nAnswer: 1, 2, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 2*s**2 + 3*s - 1. Let o be b(2). Let t be 39 - 0\/(-2 - 0). Calculate the highest common factor of t and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 23 = 2*c + 7, 3*i + 18 = c. Suppose -u = 2*j + 59, u - 5 = c*u. Which is smaller: j or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(85) - 1*sqrt(85)*3)\/(sqrt(5) - -5*((sqrt(5) - (sqrt(5) - sqrt(20))) + sqrt(5))) + (-3*sqrt(2057)*-2)**2 + sqrt(2057) + (-3*2*sqrt(2057))**2.\nAnswer: 87*sqrt(17)\/8 + 148104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -4790 (base 12) to base 11\nAnswer: -6039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 7*g**2 + 11*g - 9. Let w be p(-4). Let d = w + -58. Let v = -62 + 184\/3. Is v greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a**3 - 183*a**2 - 8463*a - 8281 = 0. What is a?\nAnswer: -91, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-1)*21\/(-126).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 880 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -100520146*s**3 - 30909467*s**2 wrt s?\nAnswer: -603120876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 25, -8, 719.\nAnswer: -8, 25, 719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72 = -5*m + 2*o, 0 = 5*o + 8 - 28. Solve m*v - 224 = -16*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 23 + -18. Calculate the greatest common factor of i and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21.8, -0.5, 734, -4\/9 in decreasing order.\nAnswer: 734, -4\/9, -0.5, -21.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0034646 to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t**2 + t**2 - 2*t**2)*(11*t - 3*t**2 - 22*t + 9*t).\nAnswer: 9*t**4 + 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in -0.2, 3\/5, 2.24, 1\/65, 0.5, -1, 1?\nAnswer: 2.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 1775*o + 4525. What is the ten thousands digit of z(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 1 - 5)*(2*l + 0*l + l)*(-l + l + 2*l**2).\nAnswer: -66*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4210\/(-27365))\/(2\/260).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 32 + 32. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 972 by 81.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 512 and 3328.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 833.6, 2, -2.48 in decreasing order.\nAnswer: 833.6, 2, -2.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -30, -65, -100, -135, -170, -205?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/(1*5\/5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7422 + n**2 + 7422.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the third derivative of -1\/20*d**3 + 1\/100*d**5 + 0 + 0*d + 17\/240*d**4 + 9*d**2. Factor o(s).\nAnswer: (s + 3)*(6*s - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:51 PM and 1:13 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 526c (base 14) to base 4\nAnswer: 3132000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/8)\/(60\/32)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -4872 divided by -3\nAnswer: 1624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 3 f when four letters picked without replacement from whwhhyf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wcjwwwjwcwcwwwwc. What is prob of picking 1 w and 1 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*c**2*m*x - 7*c**2*x**2 + c**2 + 3*c*m*x**2 - 5*m*x**2 wrt c.\nAnswer: 12*m*x - 14*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 44925 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2183 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes after 6:17 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the third derivative of v**7\/350 - v**5\/100 - 79*v**2 + 2*v. Find g such that x(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 411554 + -5?\nAnswer: 411545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-41)\/u)\/u**26 assuming u is positive.\nAnswer: u**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1262800 and 3927.\nAnswer: 64402800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4\/2 - 2)\/3. Suppose p = x + 2*x. Let h = x + 0. Let m(r) = r**2 - 5. What is m(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k - 6. Calculate z(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 361 + -358. Suppose f - 18 = -0*y - v*y, 0 = -y - 3*f + 6. Calculate the smallest common multiple of 78 and y.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 + 3. Let q = y + 6. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 18\/295?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -ec79 + -23b?\nAnswer: -eeb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) -2\/7  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 72462 and 39018.\nAnswer: 507234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1201100 (base 8) to base 14.\nAnswer: -878ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 106 - (29 - (35 - 14) - -6)\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*n + 4*n**3 - 2*n**4 + 34413*n**2 - 34413*n**2 + 39*n + 2 as o*n + s*n**4 + m*n**3 + d*n**2 + c and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -971*q. Let r(x) = 24276*x. Let c(i) = -51*m(i) - 2*r(i). Let y(j) = -2*j**2. Calculate y(c(k)).\nAnswer: -1877922*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3250.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.8119*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.04, -0.3, 0, 1\/3, 0.61?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 189*x**3 + 13*x**2 + 13*x + 1. What is h(-1)?\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 719.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -8*h + 2 - 3*h - 7 - 10*h. Does 25 divide a(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1471, 5933, 13369, 23779, 37163, 53521, 72853?\n\"Answer: 1487*g**2 + g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-308)\/(-21) + (-1)\/(-3). Let o(w) = -321*w + 15. Let v be o(z). Round v to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/17, 2, -3 in increasing order.\nAnswer: -3, 1\/17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5664 by 118.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 173 divide 14705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -63811*l**3*z**3 + 130*l**3*z**2 + 2*l**2*z**5 - 5*l**2*z**2 - 478 wrt z?\nAnswer: -382866*l**3 + 120*l**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3475 + -3470. Put g, -1557, 2, 3\/2 in decreasing order.\nAnswer: g, 2, 3\/2, -1557","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11182 is divided by 1389.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1645598?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5707 = 4*q + 2*c + 31, -2*q + 2850 = -5*c. Round q to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -2*b - 4. Suppose 4*m - 15 + 67 = 0. Let y(t) = 5*t**2 - 3*t + 2. Let u be y(2). Let h = u + m. Give a(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = 6*d - 4. Suppose 0 = -4*g + 27 - d. Suppose -3*m - 15 = -g*t - 4, 3*m = -5*t + 29. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (10 - 10 - 2*l)*(17711 - 8851 + 3060*l - 8859) in the form u*l + m + v*l**2 and give v.\nAnswer: -6120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-3)\/(p**(-1\/4)\/p))\/(p**(-2\/3)*p**(1\/4)))\/(((p*p**(-2\/13))\/p)\/(p*p**(1\/5))*p\/p**(-4)*p\/(p\/p**(-2\/13))) assuming p is positive.\nAnswer: p**(-941\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 8127961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (4 - 3) + (4 - 12 - -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -161 - 10 = -3*u. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q + 7. Suppose -2*s = 5*r - 3 + 38, -3*r = -2*s + 5. Let a be h(r). Solve -5*y + 3*x = 2*x + a, x = y - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.29, 1\/3, -4, 1\/7, 0.041 in descending order.\nAnswer: 1\/3, 1\/7, 0.041, -0.29, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 1570 to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 28*i**2. Let b(s) be the first derivative of -168 + 34*s**2 + 36 - 33*s**2. Calculate b(j(z)).\nAnswer: 56*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -2144 + 31*l**2 - 5*l**4 - 31*l**2 + 2151 + 23*l**3 in the form r*l**4 + m*l**2 + i*l**3 + d*l + g and give i.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4110 and 9590?\nAnswer: 28770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -17 - -9. Let h = 8.1 + i. Let k = -0.1 + -0.1. Which is the third smallest value?  (a) -2  (b) k  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -2*g**3 - 4*g**2 + 6*g - 5. List the prime factors of m(-5).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 3*u - 5*q - 40, 0 = -3*u - 2*q + 7. Suppose 0 = -8*a + 3*a - 25, 3*f - 5*a - 28 = 0. Sort 2, u, f in decreasing order.\nAnswer: u, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 99*d**5 + 3*d**4 - 2*d**2 - 3*d + 5. Let p(m) = -m**5 + m**4 + m**2 - m + 1. Let f(q) = -3*p(q) + w(q). What is the third derivative of f(i) wrt i?\nAnswer: 6120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*z + 12*z - 3*z + 2 to the form t + x*z and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 22102101 (base 3) in base 10?\nAnswer: 6139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tm when two letters picked without replacement from tmt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-292)\/(-40) - (-4)\/((-200)\/15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-6)\/(-10))\/((-1)\/(-5)). Suppose -n*v = h - 2 - 8, -3*v - 2 = -2*h. Which is the closest to 1\/2?  (a) v  (b) -0.3  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3625 divided by 25\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1828381*x - 7785724.\nAnswer: 1828381","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that -2*o**4\/3 - 28*o**3\/3 - 46*o**2 - 280*o\/3 - 200\/3 = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 110*p - 227. Let z be w(16). What is the remainder when (-23)\/((4 - 0) + z\/(-378)) is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.85 - 3.15. Let r be (-20)\/(-6)*(-12)\/10. Let m = 5 + r. What is the closest to m in -2\/3, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/1*(-16)\/12?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18915 and 2910.\nAnswer: 37830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -146*s + 3881 - 6407 - 20244 = 544*s for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Solve -10*s = -5*s - 5*k - 10, -4*k = -5*s + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16\/(-20)*40\/(-144).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3 + 3\/((-3)\/(-8)). Find the second derivative of -u*f**2 + 3*f**5 + 11*f**2 + 4*f wrt f.\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 889711 or 889710?\nAnswer: 889711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 792 is divided by 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-13)\/(-117) - (-35)\/9. Suppose b = -h - 13. Let o be 0 - (3 + 1 + b). Solve 3*m + o = -2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {t: 5, d: 1, w: 1, b: 2, h: 3, x: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*d + 57 = -72297*g + 72294*g, 0 = g + 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 2*j + 29. What is d(0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5796079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -123 and -3.5?\nAnswer: 119.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -7 + 25 + -1 - 21\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 59376 and 1152.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 35 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b35 (base 12) to base 8.\nAnswer: -3131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**2 - 2*j - 27. Calculate the remainder when v(12) is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d + 7. Let s(b) = 7*b**3 + 1. Let u be s(-1). Let w be i(u). Let n be (-10)\/15 - w\/3. Which is smaller: n or -2\/11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 36*d - 1940. Calculate a(54).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 566218589 to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 2111, 2074, 2069, 2132, 2299, 2606, 3089, 3784?\n\"Answer: 6*p**3 - 20*p**2 - 19*p + 2144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6 - 4 + 14*g + 5 + 3 + 1 to y*g + t and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 841 divide 241706709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1758735 and 255.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 827.7 - 828. What is the smallest value in y, -6, 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36607 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = 4*g + 70 - 826. Solve 13*j - 34*j - g = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 3*o + o - 3*r, -2*r + 16 = 5*o. Suppose o*g + f + 19 = -10, g + f + 8 = 0. Which is the third smallest value?  (a) -1  (b) g  (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -3*d - 2. Let m be u(-2). Let i = -16 + 22. Factor i*q**2 - m - 7*q - 5*q + 2*q**2 - 2*q.\nAnswer: 2*(q - 2)*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1813723 litres in millilitres?\nAnswer: 181.3723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 0.1, 1178, 1\/5, 3, -0.2, 13?\nAnswer: 1178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 5*z + 1204010, -902998 = f - 4*f - z. What is f rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(200))**2 + 0 + -2*sqrt(2) + 4.\nAnswer: -2*sqrt(2) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 100 (base 3) in base 2?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36783726.\nAnswer: 2, 3, 7, 875803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k**3 - 3*k**3 - 2*k**4)*(-3*k + 4*k + k) - k**3 + 0*k**3 + 2*k**5 - k**3.\nAnswer: -2*k**5 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 2*t**3 + 24*t**2 - 84*t + 29. Calculate w(-15).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z - 9. Let i be j(7). Let g(b) = -6*b - 38. Let k be g(-7). Suppose 9*d = k*d + 5. Put d, i, -4 in ascending order.\nAnswer: -4, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 15\/2702 and -73\/772.\nAnswer: 5404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 4*k = 8, 4*n - k + 1 = -1. Let p be -1*(1 + n)*-2. Let o be p\/(-7) - (-114)\/7. Solve 5*q + 0*f - 2*f - 19 = 0, 2*q + 2*f - o = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5070.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) 21588  (c) 2.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 36, 97, 208, 375, 604?\nAnswer: 901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -5503, -5, 5, 44 in decreasing order.\nAnswer: 44, 5, -5, -5503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0.04, -3\/10, 4920 in decreasing order.\nAnswer: 4920, 0.04, -3\/10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -28445 - -199649\/7. Let t = 76 - g. Are 0 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1280532 and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -4*v + 124, -15 = 4*l - l. Suppose 2*u + 0*u - v = 0. Calculate the remainder when u is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -5*j**2 + 47*j - 43. Let m be t(18). Let w = 867 + m. Suppose 7 = 5*u - 58. What is the remainder when w is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 4*o = 20, 3*t + 10 = 5*o + 27. Solve 20 = -0*s - t*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -440653603 - -126?\nAnswer: -440653444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 2*l - 6. Let h be u(4). Find the second derivative of 5*y + 0*y - h*y**3 - 2*y wrt y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 13 = l + 4*l, 25 = -5*l. Sort 0, 75, f in decreasing order.\nAnswer: 75, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 7*h**3 - 4*h**2 + 3*h + 10. Let d(x) = 20*x**3 - 11*x**2 + 8*x + 28. Calculate -4*d(y) + 11*g(y).\nAnswer: -3*y**3 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 952\/(-3808) + ((-963)\/(-15))\/(2504\/10)?\nAnswer: 2\/313","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 644, 1299, 1954, 2609, 3264?\nAnswer: 3919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 29936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8623376 litres to millilitres.\nAnswer: 862.3376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 41549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 3 - 4)*(-33*x**2 + 41*x**2 - 1 - 46*x**2)*(-2*x**2 + x**2 - x**2)*(-11*x + 117*x - 60*x).\nAnswer: 6992*x**5 + 184*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -266, -1139, -2722, -5123, -8450, -12811?\nAnswer: -18314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p**3 + 6*p**2 + 7*p + 5. Let h = -9 - -9. Suppose -3*z - 2 - 10 = h. What are the prime factors of y(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2267 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2297328890?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:37 AM and 10:16 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 22\/77 + 6229998\/7. Round y to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = -4 - 4, -2*i = 3*o + 7. Which is the smallest value?  (a) 3\/2  (b) 9\/7  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l = p - 5*p - 4, 4*p = 11*l - 60 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-54)\/(-63))\/(-3*(-3)\/42).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c, 1 o, and 1 a when three letters picked without replacement from nabocpna.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*r = 37*r - 110. Let p(h) = 8*h**2 - 2. Let l(c) = -15*c**2 + 4. Determine r*p(d) - 6*l(d).\nAnswer: 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -145975 by 29195.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 13447 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -177881 - -177282.834. Let f = -598.7660007 - u. Let g = 0.6 + f. What is g rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5970, -5696, -5426, -5160, -4898, -4640?\nAnswer: -4386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 169874973 - 242581470991\/1428. Let z = i + 514\/51. Calculate the common denominator of -89\/16 and z.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -137\/132 and -145\/5603808.\nAnswer: 61641888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2787 - -1695. Is 27 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 35 and 553.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.885 rounded to one decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4.4 + -0.7. Let s = 8945873.9 + -8945877.60000053. Let o = y + s. Round o to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 28 and 15120?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 927.0722513 rounded to the nearest 10?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*2*sqrt(190))\/((3*sqrt(70))\/sqrt(7)))**2.\nAnswer: 1216\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes after 12:37 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 2*x**3 - 3*x**2. Let l be s(2). Suppose -16 = 4*c, -5*h - l*c = -0 - 9. Solve 0 = -5*b - 15 + h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**2 - 7*i - 2. Let h(j) = -j**2 + 7*j + 2. Let o(p) = -3*h(p) - 4*z(p). Let v(t) = -t**2 + 8*t + 2. Let y(g) = 5*o(g) - 4*v(g). What is y(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 - (-7)\/7)\/2. Are p and -15\/58 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2595548729\/3296832 - 1\/470976. Let l = -786 - h. Calculate the common denominator of 24\/5 and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 13 + 8)*(-1 + 1 - 3*f**3) + 0*f**3 - 5*f**3 + 2 + 3*f**3.\nAnswer: -5*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m - 3*d + 56 + 57 = 2*d, 15*d = 9*m + 13*d + 23 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1 - (-61)\/91 - 456\/(-1026) and 67\/819?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y + 2*x - 2413 = -2360, -35*y - 2*x = 137 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -12 + 1213?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that s**4\/4 - 15517*s**3 + 1302105*s**2 - 27334944*s = 0.\nAnswer: 0, 42, 61984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 540925?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 70 and 364.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes before 5:52 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 * -0.034.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggaxxmlxxl. What is prob of picking 1 a, 1 l, and 1 m?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23817 - 0.2.\nAnswer: 23816.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 9\/4, 34, 3, -13\/10, 0.\nAnswer: -4, -13\/10, 0, 9\/4, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*x - x - 3*x + (x - 2*x + 4*x)*(0 + 0 - 2 + (2 + 1 - 1)*(6 + 0 - 4)).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*u = -3*q + 17*u + 90, -25*q + 8 + 40 = 2*u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 4) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -17*b + 40. Let t be s(-4). Let r = t + -526\/5. Factor 2\/5*m**4 + 16\/5*m**2 + r*m**3 + 0 - 32\/5*m.\nAnswer: 2*m*(m - 1)*(m + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -3, 4\/7, -13, 1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8 - -4. Which is the third biggest value?  (a) -5\/3  (b) -1\/7  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-3) - (25\/(-15) - -2).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 115\/12 and 65\/724.\nAnswer: 2172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sy when two letters picked without replacement from hhhghhhhyhsyshysysyh.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-29)\/((-6960)\/(-64))*5\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**2 - 18*a - 83. Let x be q(-8). Let y = 0.2 + -0.3. What is the closest to y in 4, 0.06, x?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 5981*z - 209305. Determine q(35).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.02 + 0.88. Let s = n - 1. Is s smaller than -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3607 + -3605. Is g at least -3678?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 84081 is divided by 132.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*2*-4*1*(3 + sqrt(832)).\nAnswer: 144 + 384*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.08 - 172907.267\nAnswer: -172907.187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-51)\/(-126) + ((-15)\/(-10))\/(-3). Which is the nearest to v?  (a) 0.4  (b) -2  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 9*a**2 + 10*a + 161. Is l(-9) a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42102847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -6580 + 128?\nAnswer: -6454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(20\/(-12))\/(5\/(-18)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -28*y**3 + 7*y**2 - 7*y. Let n(l) = -9*l**3 + 2*l**2 - 2*l. Calculate -7*n(k) + 2*u(k).\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 greater than -19917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 - 28.2.\nAnswer: -31.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 t, and 1 f when three letters picked without replacement from {d: 5, x: 4, z: 2, t: 1, f: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 90 divide 161558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11000101 (base 2) to base 11.\nAnswer: -16a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -2 + 1 - 4 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -575, -585, -603, -629, -663, -705, -755?\nAnswer: -813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2714756256470162.0000001 + -2714756047355393. Let m = i + -209114758. Let w = 11 - m. Round w to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -252*b + 3 = -256*b + 4*c - c, 3*c - 3 = 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Are -327190 and -327192 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1151607 years to months.\nAnswer: 1.3819284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u**2 + 7*u + 4. Let l be c(8). Let h be 2\/l + (-21)\/(-6). Suppose -2 - 26 = -q + h*d, -5*q + d + 140 = 0. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1833, 1835, 1837, 1839, 1841, 1843?\nAnswer: 1845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2509323.\nAnswer: 3, 23, 41, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**3 - 7*u**2 - 7*u - 8. Let k(n) = -n**2 + 5*n - 6. Let h be k(6). Let g = h - -6. What is x(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**2 - 6*q + 42. What is i(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*c**2 - 3*c**3 + 0*c**4 + 0*c**3 - c**3 + 2 - 2*c**4 + 2*c in the form m*c + n*c**4 + i*c**2 + f*c**3 + q and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -48?  (a) 4  (b) -1.4  (c) 1\/30  (d) -37  (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9508*g**3 + 806*g**2 + 138758384*g wrt g?\nAnswer: 57048*g + 1612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**2 + 6*f + 1. Suppose l = -y + 18, -5*y + 2*l + 34 = -91. Let j = -17 + y. Suppose -2*q = m - j, 3*q + 30 = m + 4*m. Determine g(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (152\/(-20))\/(2\/(-10)). Let t = u - 27. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -7*d + 70. Let w(c) = 112*c - 1120. Let f(q) = 49*k(q) + 3*w(q). Let y be f(10). Solve 3*u - 4*u - p = -5, -2*u + 3*p = y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Convert 302361.7 meters to centimeters.\nAnswer: 30236170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 999, 2011, 2973, 3885, 4747, 5559?\nAnswer: 6321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -95863 - -136539. What are the prime factors of g?\nAnswer: 2, 10169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3375 - -3761. Solve -k*d + 402*d = 16 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(24)\/(sqrt(8) + sqrt(392)*-2)*-3.\nAnswer: 3*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4288262 + 171?\nAnswer: -4288091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 2280.9172 to zero dps.\nAnswer: 2281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.18  (b) -22  (c) -3  (d) 60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4785.\nAnswer: 3, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 7 + 6 = 3*y, -3*y = -15. Let q = -4.046 - -0.046. Which is the second biggest value?  (a) q  (b) -3\/5  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = 5*c + 2*f, 4*c - 566*f + 571*f - 37 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(8)*-2*-6.\nAnswer: 1 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-78)\/13)\/(-3)*(781\/22)\/1.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m, 1 u, and 1 b when four letters picked without replacement from {u: 4, m: 4, b: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.9 + 2. Let v = 8 + -7.85. Let o = -0.05 + v. Which is the nearest to o?  (a) q  (b) -0.1  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.0435408l?\nAnswer: 43.5408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2*o**2 + 3)*(326*o**2 - 12 - 175*o**2 - 168*o**2).\nAnswer: -34*o**4 - 24*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -42782, -42515, -41790, -40379, -38054, -34587?\n\"Answer: 38*q**3 + q**2 - 2*q - 42819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43*s + 48*s - 2*s**3 - 91*s.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 + -18. Let x be (-78)\/d - 6\/(-21). Let s = -19 + 27. Solve x*o - 5*h - s = -h, -3*o + 10 = h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 0.2, 36368, 2, -7\/5, -0.08?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/1456 and -21\/4846.\nAnswer: 3527888","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 8 + 3 = 0, 4*o - 4*j = 16. Suppose 3*r + 3 = o*g, 0 = 4*g - 0*r + 3*r + 24. Let q(m) = -m + 1. Let l be q(-2). Put l, g, 4 in decreasing order.\nAnswer: 4, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 159  (b) 4\/9  (c) 11  (d) -129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23614.562346 - 9.\nAnswer: 23605.562346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 21 - (1 - 1)) + 497 + -486?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**2 - 5*q - 8. Is 8 a factor of h(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 2 z when three letters picked without replacement from zzzzzzzzzzzzezzzzz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -7*c + 1. Let o be v(-2). Let z be (o\/10)\/(9\/24). Put -3\/7, -6, z in decreasing order.\nAnswer: z, -3\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1096143, 2191723, 3287287, 4382829, 5478343, 6573823?\nAnswer: 7669263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -206 + 346. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 54 and 42.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {b: 3, u: 15}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 36 - -11. What is the remainder when f is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 198304399 is divided by 312.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(2\/7)\/u)**(-39)*(u**(2\/5))**29)**(-26) assuming u is positive.\nAnswer: u**(-35906\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -20 + 19. Let h = x - -3. Suppose 5*s + 0*b = -3*b + 285, 0 = -h*s - 2*b + 118. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(245) + -2)*3 - sqrt(245).\nAnswer: -6 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -5*w**2 - 8*w - 9. Give s(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8775 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 5 = -r, -47*q - 3 + 14 = 4*r - 48*q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -9039 divided by -124\nAnswer: 9039\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**5\/5 + 10834*a**4\/5 + 4332*a**3.\nAnswer: 2*a**3*(a + 2)*(a + 5415)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -3, -5, 3, 17.\nAnswer: -5, -3, 3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**2 - 10*i + 12. Let q be z(9). Suppose -4*g + 4*d - 5*d + 273 = 0, -3*g + q*d + 186 = 0. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 52\/2279 and 36\/215.\nAnswer: 11395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-24840)\/161)\/30)\/(4\/(-14))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1007673 and 110304.\nAnswer: 96736608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes before 1:16 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(45)\/(2*sqrt(1296)))**2.\nAnswer: 5\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.1, -4, -1, 1, -1745, 4, 0.01?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -0.5, 5\/2, 1\/30, 2\/17 in decreasing order.\nAnswer: 5\/2, 2\/17, 1\/30, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2869 and 453.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 12.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 33229?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 5, f: 2, a: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**3 - 4*g**2 + 20*g - 2. Let l be m(-7). Suppose -2*q = -s + 1, -5*s + l = 2*q - 24. Solve -u - 2 = q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -1907*z. Is t(-1) a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrrrrrr. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*u**11)\/u)\/u*u\/u**7)**(-48)\/((u\/u**(-8\/9))\/u**4)**(-5) assuming u is positive.\nAnswer: u**(-1823\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**5 - 69569*y**4 + 208683*y**3 + 1043473*y**2 + 1182616*y + 417396.\nAnswer: (y - 69566)*(y - 6)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes after 4:05 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 570984, 1141970, 1712956, 2283942, 2854928?\nAnswer: 3425914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2471.89632 take away -4?\nAnswer: -2467.89632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-17)\/d*d)\/(d**21*d)*(d*d*(d**13*d)\/d*d)\/((d*d\/((d*d**(6\/11)*d)\/d*d)*d)\/d) assuming d is positive.\nAnswer: d**(-247\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 6167?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -15 - -14. Which is bigger: a or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5044, -5043, -5042?\nAnswer: -5041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 202001211 - 20?\nAnswer: 202001131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 7680 = -12*z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -927, -936, -957, -996, -1059?\n\"Answer: -x**3 - 2*x - 924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from mimid.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -379*l + 105*l - 52*l = 411*l + 37587 for l.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in 0.2, 0.09, -6801?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11511621 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -492*f + 17*f - 2001 - 2707 = 702*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -148, -147, 4, 311, 780, 1417, 2228?\n\"Answer: d**3 + 69*d**2 - 213*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -247322601 divided by -584687.\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1295 + 1295.2. Let y = 25 - 25.13. Which is the smallest value?  (a) s  (b) 1\/4  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**9\/z**7)\/(z**(-2))**(3\/16) assuming z is positive.\nAnswer: z**(19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -725684880 rounded to the nearest 1000000?\nAnswer: -726000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -65.7 + 65.4. What is the nearest to 2\/3 in -48, 5, g, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/1601, 0.2, 5\/2, -3, -9 in decreasing order.\nAnswer: 5\/2, 0.2, -2\/1601, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -9 - 2*d + 23 + 8*d + 0*d - 18. What is j(-7)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 3*j = -24. Suppose 3*b = b + j. Factor p**5 + p**b + 0*p**5 - p**2 + 0*p**4 - p**3.\nAnswer: p**2*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fffffflflfffflf. Give prob of sequence ff.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11583*u**2 + 23163*u**2 - 11580*u**2 + 58*u**3.\nAnswer: 58*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/22 and -41\/92?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1210.5 * -3.\nAnswer: 3631.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9.88 - 10. Let w = -14.7 + 14. Let v = w - r. What is v rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 18 + 22. Suppose 3*k - y - 8 = 0. Solve x = 4*x - k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -4 - -3 - (-51)\/6*2. Let m = 94 - x. Suppose b - m = -f - f, -b + 82 = 4*f. What is the remainder when b is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + 29 = 5*k, -16*k + 14*k - 2 = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -559*f - 11709 = -3*n - 1616*f + 844*f, 5*f = 275 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 93851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1114016*y**5 - 178558*y**2 - 9*y + 2 wrt y.\nAnswer: 66840960*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -47 + 51. Suppose -w + h - 7205 = 3545, x*w + 42995 = 5*h. Let s be (w + 0 + 5)*(-6)\/15. What is s rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/1503207 and 46\/16535277?\nAnswer: 16535277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -77 - 19. Let c be ((-2)\/4)\/(3\/b). Suppose -12*a = -a - 44. Calculate the greatest common divisor of a and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -40 - -43. Suppose -687 = -5*p + j, -n*p + j = -3*j - 402. Is p a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 397553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -29 - -29.011. What is i rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 16538538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 45 and 761355?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*-547401.\nAnswer: -1642203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 + 12112221?\nAnswer: 12120010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 80*y - 3088658 + 633378. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes after 11:29 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is two fifteenths of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the first derivative of q**2\/2 + 18*q + 3. What is the units digit of m(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.062, -26\/5, -102, 1 in descending order.\nAnswer: 1, 0.062, -26\/5, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 8*x + 5. Suppose -2*n - l - 3 = -0*n, -5*n + 2*l = -6. What is the closest to 0.3 in x, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.3 + -0.2. Suppose 3*f = l - 7, 3*f - 2*l + 12 = -2*f. Let u = 40.2 + -38.2. Which is the nearest to o?  (a) f  (b) u  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = 149 - 174. Solve h*a - 5*z = 10, -5*z + 2 = -4*a + 7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 641, 1418, 2335, 3392?\nAnswer: 4589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 26153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*i - 13*i = -10. Suppose -31 = -2*b + 57. Suppose c - 4*o = 4*c - 88, -c + b = i*o. What is the remainder when c is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 446*k = 458*k - 96 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -24242 and -2.\nAnswer: 48484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 3*t**2. Let q(r) = r - 7. What is q(l(z))?\nAnswer: 3*z**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:54 AM and 6:48 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 + -2. Suppose 5*l = -2*c + 26, q*c = -l - 1 - 1. Let n(b) = b**3 - 2*b**2 + 3*b - 2. Let f be n(2). Put l, f, -2 in ascending order.\nAnswer: -2, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 2*s**2 + 5*s + 6. Let q be y(-7). What is the remainder when (2 + (-10)\/6)*q is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20 + -30 + 6 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 121, 431, -1.\nAnswer: -1, 121, 431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 621 - 2391. Let f be -510 + 4\/(3 + -7). Let w = f - q. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -197*q + 14559 + 22100 = 57*q + 4909 for q.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/(-144) - 4\/18. Is 24 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23808662.1us to days.\nAnswer: 0.00027556321875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 14 + -d7?\nAnswer: -c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**2 + 312*s + 67480. Give h(-147).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -297 divided by 33\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 50*w**2 - 117*w**2 + 65*w**2. Let t(p) = -6*p + 55. What is t(m(x))?\nAnswer: 12*x**2 + 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*2173.\nAnswer: -217.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 869883 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**2 + x. Let n(w) = 11*w**2 + 6*w + 10. Let m(i) = 6*k(i) - n(i). What is the derivative of m(v) wrt v?\nAnswer: -34*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 312*b + 2236. What is x(-7)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(65) - -2*sqrt(65))*-1)\/(sqrt(20)\/(sqrt(4)*2 + sqrt(4)) + sqrt(5)))**2.\nAnswer: 1053\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 5\/3  (b) 0.4  (c) -3  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**3 - 1632*j**2 - 223575*j - 440646.\nAnswer: -3*(j + 2)*(j + 271)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, -12, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 66071040 a multiple of 768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 849205840 divided by 7.\nAnswer: 121315120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 20*n**2 - 214*n - 107. What is the hundreds digit of q(26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, z: 1, g: 1, t: 1, e: 1}. Give prob of sequence ger.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -4, 1699 in descending order.\nAnswer: 1699, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l - 11 - 19. Suppose -c - 11 = -4*q, -5*q + 10 = c - l. Suppose -v = -c*v + 56. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**2 + 12*h - 31. Let l be j(5). Let -2*z**5 + 16*z**2 - 54*z**l - z + 66*z**4 - 24*z**3 + z = 0. Calculate z.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from awkmwmwwsmsw. Give prob of sequence ka.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -668347000 rounded to the nearest 1000000?\nAnswer: -668000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -6*p**2 + 3*p - 175. Let l(s) = -7*s**2 + 4*s - 186. Give -6*k(w) + 5*l(w).\nAnswer: w**2 + 2*w + 120","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, -82473, -1 in decreasing order.\nAnswer: -1, -18, -82473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the second derivative of 2*g**4\/3 - g. Let f(t) = -281*t + 11. Let z be f(-3). Let p(y) = -z - 5*y + 854. Determine k(p(d)).\nAnswer: 200*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide (-133824)\/(-6970)*(1028 + 0 + (-2)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 715*t**2*u + t**2 + 2*t*u - 3*t - 2050*u wrt t.\nAnswer: 1430*t*u + 2*t + 2*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 12  (b) 12\/13  (c) -178\/23  (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 28 - (35 - 30 - 8)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes before 5:17 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -117691 or -117687?\nAnswer: -117691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -790 and 2?\nAnswer: -1580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 - -1. What is the second smallest value in -0.3, v, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2*1*(-6)\/(-20). Suppose -874 - 170 = -9*r. Let s = r + -931\/8. Which is the smallest value?  (a) -0.5  (b) j  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -426*u + 869*u - 136*u + 2149 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in thirty-one halves of a tonne?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 71199126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5315*i**2 + 2679*i - 39*i + 3007*i**2 wrt i?\nAnswer: -4616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 168691, 169249, 169811, 170377?\n\"Answer: 2*d**2 + 552*d + 168137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 17 and 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4206846 a multiple of 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*j**3\/11 - 2966*j**2\/11 - 457800*j\/11 = 0. Calculate j.\nAnswer: -1308, -175, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -928*n + 128753. Calculate c(139).\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q + 2*r - 10, 1 = 5*q - 3*r - 0. Let c be 0 - q\/(0 + -2). Suppose -u = -4*k - c, -2*u = 3*u - 3*k - 22. Solve n = u*d + 19, -7*d + 2*d = 15 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1271336 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 48972a (base 11) in base 16?\nAnswer: bd02e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10 - 8. Calculate the least common multiple of b and ((-128)\/28 - -4)*210\/(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2039?\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4000 is divided by 3993?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes before 4:02 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/3 bigger than 584184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16521 is divided by 389?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 8458 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 3 - 5 - 170*y**2 + 163*y**2.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -118*q**6 + 3*q**5 + q**2 - 1060*q.\nAnswer: -14160*q**3 + 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -33, -2, 40, -3, 12 in increasing order.\nAnswer: -33, -3, -2, 12, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f - 40*s = f - 154, 3*f + s + 793 = -s + 795 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes after 4:48 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -13\/6, 4\/3, 0, -2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*d**5*g - d**4*g - 6*d**2*g - 2*d - 319*g wrt d.\nAnswer: 140*d**3*g - 12*d**2*g - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1211 (base 16) to base 8.\nAnswer: -11021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {k: 5, q: 1, g: 2, m: 3, p: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 421 - 606. Let w = -177 - n. Let m(y) = y**2 + 4*y - 11. Let h be m(-7). Which is bigger: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 3, i: 5, m: 3, a: 1, k: 1, g: 2}. Give prob of sequence vg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 1, -26, -1, 2.\nAnswer: -26, -7, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -43?  (a) 5  (b) -0.4  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 18*(14\/6 - 2). Solve 5*q - s = 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -55 by -27.\nAnswer: 55\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 43880363 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 225539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 23 - 36. Let l(j) = j**3 - 5*j**2 + 6*j - 8. Let w be l(4). Let x be 57\/76 - (w + (-55)\/(-4)). Is f <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/(0 + 2) + 47\/(-13). Which is smaller: b or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (303\/(-404))\/((-27)\/8)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 62578.92 millilitres?\nAnswer: 62.57892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -1, -4, -6, -41 in descending order.\nAnswer: 5, -1, -4, -6, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19 + 6 - 7)*(0 + 2*c + 0 + (0 - 1 + 0)*(-1 + 1 - 2*c)).\nAnswer: -80*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -182*f - 462*f + 172*f - 493*f + 0*f as y + u*f and give u.\nAnswer: -965","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1243, 1901, 2573, 3259?\n\"Answer: 7*y**2 + 637*y + 599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2\/3))**(10\/3)\/(v**(-3\/4)\/(v*v**(-3\/5)))*((v**(2\/3)*v)\/v**(-2))\/(v**5*v**(2\/7)*v) assuming v is positive.\nAnswer: v**(-4651\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 316 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13 - -12.94. Let b = -2143 + 8571\/4. Sort h, b, 0.07 in decreasing order.\nAnswer: 0.07, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 12*h + 6. Let r be n(1). Let x be 3 - (3\/(-15) + (-238)\/10). Calculate the greatest common factor of x and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 + (6\/(-8))\/(-1). Let q = 1.2 + -0.5. Let c = q - 0.6. What is the third smallest value in c, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1220 divide 2315977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 59 - 31. 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: Is 70 a factor of 3360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 979 = -101. What is the greatest common factor of 54 and y?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -195 + 1165\/6. Which is the biggest value?  (a) -1\/3  (b) 0.5  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 138036*h**2\/19 - 4693226*h\/19 + 68\/19.\nAnswer: 2*(h - 34)*(69018*h - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**3\/7 - 438*s**2\/7 - 4653*s\/7 - 4212\/7.\nAnswer: 3*(s - 156)*(s + 1)*(s + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - h - 28 = 0, -4*n + 2*h + 24 = -2*h. Let p = 9 - -4. Let u = 19 + p. Calculate the remainder when u is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 * 1134.84\nAnswer: -4539.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 30 and 2 - (-1575)\/51 - 2\/(-17)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12\/173 + -1574\/2249. What is the common denominator of s and 125\/12?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**3 + 4*n**2 - 430*n + 1754. Give h(15).\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.231 + -0.069. Suppose -t + 6*t + 10 = 0. What is the nearest to -0.2 in n, 4, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8974612?\nAnswer: 2, 19, 263, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**3\/10 + 6*i**2\/5 - 13*i\/10.\nAnswer: i*(i - 1)*(i + 13)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*s**3 + s**3 - s**3)*(3*s + 0*s - s) + 0*s**2 - 93*s**4 + 0*s**2 - 2825*s**4 + 323*s**4 to u + l*s**2 + p*s**3 + w*s + f*s**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + -2 + 0 + 9*1900\/3375.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4718463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1001010011010101000 (base 2) in base 8?\nAnswer: -1123250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.71 times -25.6\nAnswer: -18.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 3*f, 2*a - 4*f + 160 = 572. Calculate the highest common divisor of a and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5291 by 1505.\nAnswer: -5291\/1505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 111 is divided by 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 6193387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3046233473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 549 greater than 298165\/542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 + 11020001121?\nAnswer: 11020001200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 0.4, 2\/7, -3, 2, -22831, 1\/111?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -121112 (base 3) in base 13?\nAnswer: -284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (3 - (9 + -13)) + 7 + (-98 - 7) + 4\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/((-768)\/(-56))*32?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1059 - 5. Suppose -o = -3*o + x. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -548.14 to zero decimal places.\nAnswer: -548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*v - 5*l - 29, 5*v + 35 = -103*l + 98*l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18121 is divided by 4529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 11690, 11720, 11778, 11876, 12026, 12240, 12530, 12908?\n\"Answer: 2*z**3 + 2*z**2 + 10*z + 11676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -117 - -119. Let c = 28 + -16. Suppose 5*m - 3*m + 4*b = c, 6 = -m + y*b. Solve u + 2 - 3 = m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - c - 62 = 0. Let h = 262 + -171. Calculate the remainder when h is divided by c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -6*p - 11. Let f(c) = 15*c + 27. What is 5*f(k) + 12*u(k)?\nAnswer: 3*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-7 - 6\/(-1)) + 14673 + -1?\nAnswer: 17, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -563924 (base 10) to base 4\nAnswer: -2021223110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times 595?\nAnswer: -178.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 17298 and 525276.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -407, -489, -663, -971, -1455, -2157, -3119, -4383?\nAnswer: -5991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**1*u)**(-19\/5))**(-10)\/((u**0\/u)**(-29)*(u*(u**4*u*u)\/u)\/(u*(u*u*u*(u\/u**4*u)\/u)\/u)) assuming u is positive.\nAnswer: u**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, a: 1, k: 1, m: 1, r: 2, v: 1}. What is prob of sequence amv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9 + -7. Suppose -z + a*z - 7 = 0. Suppose -z = h - 2*h. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**2 + 4*f + 4. Let m be u(-2). Suppose 5*d + 2*a - 3*a + 27 = 0, -d - 5*a + 5 = m. Sort 5, 4, d, 2 in ascending order.\nAnswer: d, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 0*d - 40 = -c, -3*c - 5*d = -85. Let j = 4 - c. Let v be (-60)\/8*j\/3. What is the greatest common factor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 2*s**4 + 10*s**2 - s - 1. Let v(b) = 5*b**4 + 71*b**3 + 102*b**2 - 3*b - 3. Let f(p) = 6*m(p) - 2*v(p). Factor f(i).\nAnswer: 2*i**2*(i - 72)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2*k**5 - 1)*(-57 - 5 - 45).\nAnswer: -214*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the third derivative of -i**7\/315 - i**6\/180 + i**5\/45 - 10*i**2. Factor z(r).\nAnswer: -2*r**2*(r - 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 1\/707?\nAnswer: 1\/707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -641 - -1235?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i + 4. Let q be -2*-3*4\/8. Let g be (-6)\/(-2) - (3 - 18\/q). What is d(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z - z - z**2 + (-2*z + 3*z - 3*z)*(-3 - z + 3) + 3*z - 3*z + 2*z**2 - 4*z + 4*z - 2*z**2 + 33*z**2 - 66*z**2 - 154*z**2 + 1 - 1 + z**2)*(1 - 8 - 2).\nAnswer: 1665*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -33307, -33314, -33321?\n\"Answer: -7*m - 33300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 - 4. Suppose -r*c - 16 = -5*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = 9*q - 5*q - 29408, -4*q = -c + 7382. List the prime factors of c.\nAnswer: 2, 13, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 - -52?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 233121435 divided by -1011\nAnswer: -230585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.625344kg to micrograms.\nAnswer: 1625344000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1303 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the second derivative of -3*o**5\/20 + 5*o**4\/4 + 12*o**3 + 592*o. Find g, given that w(g) = 0.\nAnswer: -3, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1956 is divided by 354.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8.2 - 10. Let t = -1.2 + p. Let b = 31 - 21. What is the third biggest value in t, 2, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1290786 to the power of 1\/2, to the nearest integer?\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.63 + 0.63. What is the fourth biggest value in t, -5, -0.9, 1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**3 - 21*c**2 + 5*c + 58. Calculate i(-21).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-2\/9)*v)\/v)**23\/(v**(-1\/8)\/v)**(-37) assuming v is positive.\nAnswer: v**(-3365\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/5)\/(2\/(-5)). Let n = -0.1 + 0. Suppose 15 = -r + 2*l, -324*l = 5*r - 327*l + 19. Which is the closest to r?  (a) -5  (b) n  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the second derivative of 0*m**4 + 0 + 1\/3*m**3 + 0*m**2 - 3\/20*m**5 - 2*m. Find the second derivative of y(r) wrt r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**2. Let l(p) = 4*p**2 - 5*p - 5. Let i(u) = 2*u**2 - 3*u - 3. Let j(b) = -5*i(b) + 3*l(b). Determine w(j(v)).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 + (-1 - 29 - -9) + 32?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 425 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -89178*t - 267535. Calculate o(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-20)\/(-25))\/((-2)\/(-5)). Suppose -p*y - 16 = -4*j, -j - 5*y + 10 = 28. Solve z = j*z - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = 2*k - 5*k - 32, -q = -5*k - 25. Let b = 1 - 0. Sort b, k, -5.\nAnswer: -5, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 36*u + 42035 = 0. List the prime factors of u.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000642161 to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 1923244897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + 22*f - 53 - 13 - 8 = 0, 5*q + 2*f + 12 = -34 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 2*f**3 - 33*f**2 - 9*f - 108. Calculate u(17).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153) + (sqrt(153)*-1*6 - sqrt(153)) - (sqrt(153) + sqrt(153)*-2 + -4 + sqrt(153)) - 5*((sqrt(153) + 3 - sqrt(153)) + sqrt(153))*-6) + 1)**2.\nAnswer: 13680*sqrt(17) + 97153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(126) - (sqrt(126)*2 + sqrt(126))*4)\/sqrt(9))\/((sqrt(896)*-2)\/sqrt(8))*-5.\nAnswer: -55*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6369, -7602, -8831, -10056, -11277?\nAnswer: -12494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/18 and 91\/19588200.\nAnswer: 58764600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 402.4595 milligrams in nanograms?\nAnswer: 402459500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 32 + 1100120?\nAnswer: 1100212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xiixiiiiixii. Give prob of sequence ixi.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6*2\/9*3. Suppose -3*v = r*i + 8, -8 - 2 = 3*v + 5*i. Suppose v = 4*w - w + 15. What is the second biggest value in -2, w, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/1749 and -58\/3657.\nAnswer: 40227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.327293766 or -1\/3?\nAnswer: 0.327293766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25126 is divided by 206.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8\/28 - (-166)\/7. Solve -5*y = 5*c + 10, 4*c = -y + 5*y + p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2142029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d + 5*m = 0, 26*d - 6 = 21*d - m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(90)*-2)\/sqrt(10))\/(sqrt(108) - (2*sqrt(108) + sqrt(108))) + 4.\nAnswer: sqrt(3)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -326 + 4 + 7 + -2. Let g = f + 393. What is the greatest common factor of g and 342?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o - 12*g + 7*g + 20, -5*o + 4*g = -25. Let x(p) = -p**2 - 11*p - 4. Let b be x(-10). Solve -o*l - b = -3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1387 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j. Let l(g) = -g - 5. Let p(a) = 2*b(a) + l(a). Let x be p(9). Suppose -o + 14 = x*u - 2*u, u = 4. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*k**4 - 26*k**3 + 2*k**2 + 4 + 48*k**3 - 21*k**3 as p*k**3 + n*k**2 + j*k + q + g*k**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -39\/425 + 47979\/425. Let f = 114 - n. Find the common denominator of 2 + 55\/(-15) - 3 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00020234744 to six dps.\nAnswer: 0.000202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 224727, 224768, 224809, 224850, 224891, 224932?\nAnswer: 224973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, 0.203636, 15, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w = 2*z - 5, 13*w + 5 = -4*z + 8*w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 38 - 33. Let r be ((-4)\/1)\/(-2) + 7. Let l be (-2)\/4 + r\/10. Which is the closest to l?  (a) -4  (b) -2  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1691905980 to the power of 1\/2, to the nearest integer?\nAnswer: 41133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-7)\/2)\/(2\/(-36)). Suppose 52*p - 49*p = 105. Let k = a - p. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.18*-81\nAnswer: 14.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 5957 divide 155966894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 3*s + 22 = 100, 0 = 2*s - 843 + 791 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 43051155 and 525.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(-2*sqrt(95) - sqrt(95)) - sqrt(95))\/sqrt(5).\nAnswer: -16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - -12 - 1 - (-32 + (-24 - -52))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3\/5 or -1442448\/13?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8054060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -214 - -367. Let d be (5 - 0) + m\/(-51). Solve 2*c + d*c = 2*q + 4, 0 = 5*c - 4*q - 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**3 - 17*n**2 - 2*n - 10. List the prime factors of a(-17).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x + 30 = 6*c, 4*c - 20 = -27*x + 29*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14*-25*(-1131)\/6090.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**3 + 1. Let a(d) = 4*d**3 + 5*d**2 - 3*d + 1. Let r(x) = a(x) - s(x). Let z(w) = 11*w**3 + 11*w**2 - 6*w. Determine 7*r(b) - 3*z(b).\nAnswer: 2*b**3 + 2*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -5 - 5*247\/(-190). Which is the nearest to -1?  (a) 4  (b) 1136  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.120838 rounded to 3 decimal places?\nAnswer: -0.121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1179969, -2359970, -3539971, -4719972, -5899973, -7079974?\nAnswer: -8259975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-3 - -10) + 0)*(-4)\/126*-9. Factor -5\/3*b**o - 30 - 95\/3*b.\nAnswer: -5*(b + 1)*(b + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the second derivative of 5351*u**4\/12 + 2350*u**2 + u - 224. Find the first derivative of d(g) wrt g.\nAnswer: 10702*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 smaller than -11\/124196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 666 + -1068. Round x to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 m and 1 h when four letters picked without replacement from hmmhhhhmhmhhhm.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-258)\/246 + (2 - 4\/4) + (-10488)\/(-6091780).\nAnswer: -4\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 418 is divided by 53?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 237501 is divided by 31.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -641*a + 3 - 801*a - 4.\nAnswer: -1442*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 3*r - 64 = 0. Suppose f + r = -f. Let z = 28 + f. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 5*f - 106. Let p be -12*-1*(-26)\/(-8). Calculate the highest common divisor of p and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:25 AM and 10:18 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 s, 1 t, and 1 d when four letters picked without replacement from dousdstutdvo.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 987*l + 71986. Give a(-73).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 5*c = -c - 1012, 0 = -3*t - 2*c + 759. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/(-14) + (-605)\/(-35). Suppose 0 = 8*c - 4*c + v - 22, -4*v - b = -5*c. Let a = -262 + 272. Solve -a = -5*q, -3*r + q = -c*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1326 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -1308*h - 6190. Give r(-4).\nAnswer: -958","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*r - 2552 = -48*r. Let b = r - 217. Calculate the remainder when 28 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 26\/4*2\/(-1). Let m = w - -39. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1498220994?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes after 3:58 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**2\/11 + 5280776*r\/11 + 3485824395272\/11.\nAnswer: 2*(r + 1320194)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 397547.5l?\nAnswer: 397547500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 6 - 5 - (-3 + (2 - -4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h = -25*u + 166, 346*u = -5*h + 348*u + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*v + 2005 - 171 = 0. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 33453345 - -121?\nAnswer: 33453510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 5*q. Let h(d) = -23335998*d - 2975907. Let u(f) = -2917*f - 372. Let w(j) = 4*h(j) - 31999*u(j). What is z(w(g))?\nAnswer: -14545*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*c**3 + c**3 - 3*c**3)*(-c**2 - 2*c**2 + c**2) - 8*c**5 - 27*c**5 + 7*c**5.\nAnswer: -36*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in g**2 + 4 - 6 - 2*g**2 + 2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5\/13  (b) 2  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3924 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -26 - -28. Find the second derivative of -j*b**2 + 3*b**5 + 178*b + 2*b**2 - 183*b wrt b.\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14 - 2. Let b(f) = 249*f - 621. Let j be b(3). Suppose 0 = -6*m + o*m - j. Solve 0 = -w + 4*g - m, -6*g + 2*g + 19 = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the third derivative of -4\/3*z**3 - 1\/120*z**6 + 1\/4*z**4 - 1\/15*z**5 + 0*z - 51 + 2*z**2. What is a(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56719228?\nAnswer: 2, 139, 102013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 17.348307 hours?\nAnswer: 0.722846125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*h - 2*h + 0*h + (3 - 2*h - 3)*(1 - 1 - 1) + 6 + 2*h - 2 - 6 + (5 - 6 - 1)*(-2*h + 1 - 1) + 0*h - 2*h + 0*h.\nAnswer: 8*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 1112689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes after 6:58 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-17)\/(17\/(-3)))\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(1088) + sqrt(1088) + 0 + -4 + -2*sqrt(1088) - (0 + sqrt(1088) + 0 + 0).\nAnswer: -8*sqrt(17) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1615\/1292)\/(230\/(-4)).\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is -5780000 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 11*q. Let r(w) = 5*w. Let m(b) = 9*r(b) - 4*t(b). Suppose 7*s - 12 = s. Let z(l) = -314 - 3*l**s + 314. What is m(z(p))?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the first derivative of 4 + 1\/3*b**3 + 0*b**2 - b. Let g be d(2). What is the greatest common divisor of 9 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**3 + 12*v**2 + 7*v - 7. List the prime factors of x(9).\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1925*y - 249360 = -4309*y for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**5*z**9\/z*z)\/(z**(-10)\/z**10))**20 assuming z is positive.\nAnswer: z**680","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5438*y**2 - 501*y**3 - 5438*y**2 - 32*y**3.\nAnswer: -533*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*p + 7*p - 2*p)*(p - 16*p + p)*(9 - 1 - 21) to the form n + s*p**2 + d*p and give s.\nAnswer: 1820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 5*c = 25, 2*c + c = -5*k + 16. Suppose 0*w + k*x + 37 = 2*w, 28 = 3*w - 2*x. Calculate the greatest common factor of 9 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45183.\nAnswer: 3, 15061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 571, 3828, 9241, 16798, 26487, 38296?\nAnswer: 52213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -10*j - 2. Let x(l) be the second derivative of -3*l**3\/2 - l**2 + l. Let c = -623 + 624. Let b be c\/(7 - (-144)\/(-20)). Give b*z(t) + 6*x(t).\nAnswer: -4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1597001 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**3 + 26*i**2 - 99*i - 441. Give l(19).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 4 - 2)*((-3*q**2 + 4*q**2 - 4*q**2)*(q + 1 - 1) + 33 - 33 - 2*q**3) in the form g + w*q**2 + v*q + k*q**3 and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 2\/9, 0, -1043, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**3 + 5*v**2 - 9*v - 9. Let l(o) be the third derivative of 0 + 0*o + 1\/60*o**5 - 11\/6*o**3 + 20*o**2 - 1\/6*o**4. Let k be l(5). Calculate g(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71614.45l in millilitres?\nAnswer: 71614450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19 + -26. Let k be (24\/15)\/(h\/(-5) - 1). Solve k*w = -z + 12, 3*z - 4*z = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 47 - 21. Calculate the remainder when o is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1098.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14 - u**2 + 5*u**2 - u**2 + 4*u**2.\nAnswer: 7*u**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jljj when four letters picked without replacement from ukjjljjjkkjlkjkj.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (12\/(-16))\/(2\/(-8)). Suppose 5*k + 2*c - 19 = -c, -2*c = -6. Sort -5, x, k in increasing order.\nAnswer: -5, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*t**4 - t**2 - 17*t**4 - 2*t + 3*t**2 - 9*t**2 to m + w*t**4 + r*t**2 + c*t**3 + j*t and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 17064.78 rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.488  (b) 0.05  (c) -2  (d) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -176 minus 1688158746?\nAnswer: -1688158922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 154 + 7*j - 22*j**3 - 7*j + 168.\nAnswer: -22*j**3 + 322","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/135, -3\/31, -2, 3\/4?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -176, -546, -1118, -1886, -2844?\nAnswer: -3986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 91678827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 1 + 4 = 0. Solve -15 = -6*m + z*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100 (base 3) to base 4.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = 2*x - 18. Find n such that -4*n**2 - 4*n**5 - 8 + 13 + 4*n**4 + 4*n**x - 5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 13, 39, 79, 133, 201, 283, 379?\n\"Answer: 7*j**2 + 5*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 159242495 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -474*d + 478*d + v = 30, 3*v - 100 = -2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -7*h**2 - 2*h - 8. Let f(n) = -13*n**2 - 3*n - 15. Suppose 7 + 26 = -3*c. Let g(r) = c*x(r) + 6*f(r). Calculate g(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 4 + 0)*((3 - 1 - 1)*(1 + x - 1) + (-4 - 2 + 4)*(-3*x - 3*x - 3*x)) in the form m + z*x and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qgqq when four letters picked without replacement from {g: 15, q: 4}?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 215897 is divided by 1023.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 1\/4, -0.2, -0.05 in decreasing order.\nAnswer: 1\/4, 0.1, -0.05, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put together -5 and -579794.\nAnswer: -579799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 4*m**3 - 8*m**2 - 4*m + 8 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 - -7. Suppose g*w + 12 = -33. Let s = 10 - w. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 34819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 6*f + 210 = f, 2*v - 76 = -2*f. Let s be (-920)\/(-25) - (-8)\/(-10). Suppose -2*t + 6 = -s. Calculate the remainder when v is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - 4*p + 2 = 0, -2*p = -5*s - 3 - 28 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 5) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 + (-2)\/7)*21\/48.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 2*o**2 - 45*o - 38. Give l(23).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -224127 (base 11) to base 2\nAnswer: -1010111000111111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 > -16\/420339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 149395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -66243*i + 15567094. Calculate m(235).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12*d**3 - 2712*d**2 - 151863*d + 154587.\nAnswer: -3*(d - 1)*(2*d + 227)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 661.3921 litres in millilitres?\nAnswer: 661392.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7896 and 67116.\nAnswer: 134232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 - 2 - 10)*(-5 + 3 - 1)*(2*l + 5 - 2 - 4) as t + j*l and give j.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 197472809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*w - 2*w - 1 - 4*w + (1 + 4 - 3)*(-3*w - 4*w + 4*w) + (1 + 0 + 1)*(-12*w + 47 - 47) as u + a*w and give a.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 0, -2 in descending order.\nAnswer: 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((-2*(sqrt(77) + -2*sqrt(77) - sqrt(77)))\/sqrt(11))**2.\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -3*o + 13. Let m be -1 + 1 + o + -16. Let k = 32 - m. What are the prime factors of k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-8 + (-174)\/(-27))\/((-4)\/18) - -1410 is divided by 37.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -268 + 268. Suppose g = -21*q + 28 - 7. Solve 0*m - m = q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z + 5*f - 1775 - 3233, -3302 = -2*z + 4*f. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2882*c**3*j**3 + c**3*j*z**2 + 431*c**2*j*z**3 - c**2*j + 114*c**2 - 4867*c*j**3*z**3 + c*z**3 - 3*j**2*z**3 wrt j.\nAnswer: 17292*c**3 - 29202*c*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1105 - -1110. Suppose 16 + 0 = 4*o. Suppose -r + o = 3*r. Which is the closest to 2\/7?  (a) r  (b) 0.4  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-56 - -67) + (-36 - 10).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 832, 1663, 2494, 3325?\nAnswer: 4156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 754 and 406.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.2 or -158?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes after 11:07 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by 8146298.\nAnswer: -3\/4073149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1838 is divided by 115.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1594652*g**3*w**4 - 170*g**3*w + 2588*w**2 wrt w?\nAnswer: -38271648*g**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j = -3*l - 12 + 4, -4*j - 10*j + 94 = -12*j + 26*l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1.798957 and 51.\nAnswer: 49.201043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 139 a factor of 578959066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 3 - 39 = 0. Suppose 2*p - 7*p - 3*w = 12, -2*w = 4*p + 8. Suppose -z + h = -p*z. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 13) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45*j**2 + 57*j**2 - 14*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a**3 - 1 + 1)*(3 - 1 - 1) - 3*a + 3*a + 2*a**3 + (a**2 + a**2 + 7*a**2)*(3 - 3 - 9*a).\nAnswer: -77*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -419*w - 55 = -424*w. Let s = -6 + 21. Suppose w - s = -2*c. What is the nearest to -1\/5 in -5, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*j**5\/9 - 2*j**3\/3 + 4*j**2\/9 = 0. What is j?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 726, 1601, 2624, 3795, 5114?\n\"Answer: 74*q**2 + 653*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1096869683 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2429705 to the nearest integer?\nAnswer: 1559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -3519605.\nAnswer: -4\/3519605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1573 and 104?\nAnswer: 12584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 31307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -31, -24, -13, 2, 21, 44?\n\"Answer: 2*q**2 + q - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4251 and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1105*t**2 - 1100*t**2 + 2211*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -42940256*o**5 - 121120*o - 129 wrt o.\nAnswer: -858805120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and -55586346.\nAnswer: -166759038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10077 - -16165. What is the remainder when u is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 38?  (a) 2\/137  (b) -1\/6  (c) -2  (d) -4  (e) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l + s - 24 = 0, -24*s + 11057 = 4*l + 10381 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/18564 and 36\/7735?\nAnswer: 92820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1775, 14769, 50223, 119387, 233511, 403845, 641639?\nAnswer: 958143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 2) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + g**2 + 2)*(-5 - 1 + 0) + 2*g**2 - 3 + 3 + 5*g**2 - 6*g**2 - 3*g**2)*(0*g - 5*g + 3*g).\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -142689 - -19976553\/140. Find the common denominator of 149\/1540 and o.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = -0*n - 2*n - 2 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 - -2. Let o = 1.57 - 1.07. What is the smallest value in h, o, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 49115133*u**2 - 17401860 wrt u?\nAnswer: 98230266*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**2 + 7*s + 22. Give d(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-7)*l**2)\/(l**(-1\/4))**(2\/55))\/((l*l\/l**1)**26\/(l**(-2\/25)\/(l\/(l*l*l**(1\/11))*l))) assuming l is positive.\nAnswer: l**(-1549\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:12 PM and 12:52 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-19 + 36 - 6 + 16 + 131)*(-19 - 3*l + 19) to p*l + n and give p.\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p = p - 4*u + 30, -2*p - 25 = -3*u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1180, -1180, -1168, -1138, -1084, -1000, -880, -718?\nAnswer: -508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**3 - 6*q**2 + 4*q - 1. Let p be u(5). Let i be 2 + p + (-722)\/(-171). Let z = -10 + 8. What is the nearest to 2 in 0.2, i, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 920034432 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 91a45 (base 11) to base 2\nAnswer: 100000110011010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1077?\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -59, 2, 16 in descending order.\nAnswer: 16, 9, 2, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8258281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 19 + -12. Calculate the remainder when 11 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 1273*o**2. Let i(f) = -f + 30. Determine l(i(r)).\nAnswer: 1273*r**2 - 76380*r + 1145700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the first derivative of n**3\/3 - 13*n**2\/2 + 28*n - 7. Let w be m(14). Is ((-7)\/w*9)\/(3\/(-164)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 3*n**2 - 44*n - 13. Is y(20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*3*37\/370.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and 9.05.\nAnswer: 9.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 2*k**3 + 4*k**2 - 4*k - 1. Let w = 1 - -4. Is r(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (-13 - (1 - (-4 - -4))) - -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i + 4*d - 5 = 0, -5*i + d = -6 + 11 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1957166614?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 27133 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -13.2294383 rounded to one decimal place?\nAnswer: -13.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 502815*h**2 + 919051*h.\nAnswer: 1005630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o**5 - 14749*o**4 + 221396*o**3 - 944848*o**2 + 708800*o + 1889792 = 0.\nAnswer: -14764, -1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -11*x. Let h be m(-3). Let s be (-34650)\/420*64\/(-10). Calculate the highest common factor of s and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**2 - n + 5. What is p(-4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*q**2 + q - 13*q**2 + 0*q + (0*q - q - q)*(3 - 3 - q).\nAnswer: -14*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2*n + 2)*(-3515 - 1734 + 7792) + (4 - 2 + 0)*(-3*n + 6*n - n) as j*n + m and give j.\nAnswer: 5090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 50 - 30. Suppose 5*b - 3*i - 62 = 0, -4*b + 4*i = -b - 46. What is the highest common divisor of q and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(11\/5)\/(q**(-6)\/q))\/(q**(-1\/4))**(-4\/11) assuming q is positive.\nAnswer: q**(501\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.5, -0.0531, 51?\nAnswer: -0.0531","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g + 3*g - 10, -g + 4 = i. Suppose -j = 2*l - 3735, i*j + 665 - 8137 = -3*l. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2244 divided by 374?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 5) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8317?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 24 and 593160.\nAnswer: 593160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -4\/49?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 934357 is divided by 25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*sqrt(1900)*-2)**2 + 1)*-6.\nAnswer: -1140006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11 + 15. Let p(g) = -193750*g**2 - g + 4. Let k be p(f). What is k rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from nippnippinjigppjprn?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 25*m + 483. Let k be h(-19). Solve q - r - 3*r + 5 = 0, k = 4*r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4213*n**5 + 40*n**4 - 58*n**3 - 50783227*n**2 wrt n?\nAnswer: 252780*n**2 + 960*n - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c - 14. Let t be 1*(-107)\/3*3. Let b = -51 - t. Suppose 2*i + b = -5*i. Give o(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j\/j**(-2\/5)))**(-16)*(j**(3\/2)\/j*j)\/(j*j**(-4\/3)))\/(j**(-1)\/j*j**2*(j*j\/j**(-1\/9))\/j**1) assuming j is positive.\nAnswer: j**(641\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.009, -5, -2\/11, -147.9, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = -4*x - 3*d, -56*x + 3*d = -82*x - 95 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes after 12:03 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f + 4*f + 5*f)*(-2 - 2 + 1) + (-44 + 44 + 14*f)*(-2 + 1 - 1).\nAnswer: -49*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = -3*c - 24, -c + 1 = 2*h + 11. Let l be -1 + 2 + 6 + 1. Solve -5*v + 3*j - c = 0, 3*v + 5*j + 0*j = -l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vkt when three letters picked without replacement from vuvkvuvvvtkktkzkkuv?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4.6 - -4.8. Suppose 3*p = 5 + 10. Put -0.03, -0.3, r, p in decreasing order.\nAnswer: p, r, -0.03, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 49194836 and 20.\nAnswer: 245974180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 0 = -5. What is the first derivative of -6*v - 11*v + 10*v + z - 2*v wrt v?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/4 - (-39)\/12. Let l be r\/16 + (-1)\/2. Let h be (2 + (-21)\/9)*0. What is the second smallest value in -3\/4, h, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-135*m - 83*m - 103*m)*(6 - 4 - 3).\nAnswer: 321*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9124 is divided by 9103?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 69607356?\nAnswer: 2, 3, 7, 13, 63743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.5  (b) -0.3  (c) 5  (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -a + 3*f - 3677, a - 4*f - 1811 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9656 and 13891363?\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.495964 - -1.095971. Let k = h - 0.6. Round k to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes after 1:19 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -68229040, -68229036, -68229032, -68229028, -68229024?\n\"Answer: 4*a - 68229044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -7*k + 37. Solve -k*o - 10 = -2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 247718088 and 972.\nAnswer: 247718088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -362*((-4)\/(-4))\/2. Let l = o + 210. What is the remainder when 101 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -30937 - -30951. Solve 0 = 5*t - r + 8, u*t - 4*r + 11 = 15*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 47 - 7. Let y be ((-6)\/(-4))\/((-3)\/n). Let m = 42 + y. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**2 + 16*b + 67. Let m be p(-10). Let s(n) = 6*n**2 - 6*n - 10 + 2*n + 16 - 5. Let g(o) = 2 + 4*o - 3 + 2*o + 0 - 9*o**2. Determine m*s(l) + 5*g(l).\nAnswer: -3*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-864)*8*3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -855*k - 22 = 3*y - 859*k, 0 = -4*y - k - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 154330973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 3*o + 2. Let y be v(-2). Let t be (0 - (-153)\/12)\/(-3). Is y > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 1, 246, -4 in ascending order.\nAnswer: -4, 0, 1, 246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -422, -979, -1666, -2483, -3430, -4507, -5714?\nAnswer: -7051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -44.392713 to 0 decimal places.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -21*j + 11 + 5827. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 5, 2, 21 in descending order.\nAnswer: 21, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 6, t: 4}. Give prob of picking 3 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k*(k\/k**(2\/25))\/k)*k**8*k)\/(k**8\/k*k\/(k*k*k*k**(-1\/2)*k*k)*k))**(-3\/2) assuming k is positive.\nAnswer: k**(-687\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -173061 divided by 5\nAnswer: -173061\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1272336 + 702336. Let n be (500\/(-3))\/((-5)\/y). What is n rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0789 * -12.\nAnswer: -0.9468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*b - 2*s = 4*b - 10, 3 = -3*s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 4 + (-8 - -27 - 20) + -18?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 722 - 74.8998793.\nAnswer: 647.1001207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 16813079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (15\/6)\/(4\/16*2). Let l(z) be the first derivative of 2\/3*z**3 + 1 - 2*z - z**4 + 0*z**r + 3\/2*z**2 + 1\/6*z**6. What is o in l(o) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1368 and 36081?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3900332 is divided by 1299759?\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in fifteen quarters of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-5)\/1 + (-231)\/(-66). Which is the nearest to 2?  (a) -1  (b) l  (c) 2\/9  (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 62*j + 373. Calculate z(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -80*b**2 + 185*b - 50.\nAnswer: -5*(b - 2)*(16*b - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 160 and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -52\/25 and ((-230)\/30)\/((-95)\/30 + 5)?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-13)\/260*65)\/((-3)\/12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -8 - 38451c?\nAnswer: -384525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-18))\/((((-765)\/(-30))\/51)\/((-27)\/30)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 2*w**3 + 17*w**2 + 30*w + 24. What is x(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.17 * 1.8019\nAnswer: -0.306323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 516414 = -2*g + 2*l, -5*l - 774607 = -3*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = 3*y - 8*y. Let j = y - 3. Suppose c - j = -1. What is the highest common divisor of c and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5767 (base 11) in base 7?\nAnswer: 31041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 18413 (base 9) in base 15?\nAnswer: 3b89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 11*(-4)\/(-1056)*16. What is the biggest value in 2\/21, 3, j, -2\/5, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**2 + 9*q + 1. Let x be k(-6). Let d = 46 + x. Let s = -27 - d. Solve -n - 5*b = -s - 4, b = -3*n - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2\/97 + -93\/194. What is the closest to 2 in t, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23925 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 3*j**3 + 263*j**2 - 87*j + 77. Determine t(-88).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 32493*p - 162473. What is u(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 - -563?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 17926 and 8?\nAnswer: 71704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9.01 - 9. Let m = y + -0.61. Let x = m + 1.6. What is the second smallest value in x, 0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r + 6 + 9 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -5185745*v + 8532925?\nAnswer: -5185745","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 22 = 3*r. Calculate the greatest common divisor of r and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pplplppllpppplllpll. Give prob of sequence ll.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 875971.9 kilometers?\nAnswer: 875971900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u**2 - 1 + 1)*(66*u + u**3 - 2*u - 18*u).\nAnswer: -u**5 - 46*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3.23  (b) 3  (c) -2\/437\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 112 and 32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 4) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:46 AM and 1:47 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-3)\/7)\/((-708)\/(-21476)))\/(5\/(-40))?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 5*o + z - 5*z, -3*o + 6 = -4*z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -c + 128, 4*c + c + 152 = 4*o. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the first derivative of 2\/15*d**6 - 32\/15*d**3 - 39 - 2\/5*d**5 - 11\/5*d**4 + 4\/5*d**2 + 2*d. Suppose m(f) = 0. Calculate f.\nAnswer: -1, 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1866219504 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -93 + 99. Suppose 4837 = j*k - 1997. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21470 divided by 2932\nAnswer: -10735\/1466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhhiih. What is prob of sequence ii?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -6\/7, -8, -1\/36, 919, -0.2, -0.4, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00613559 rounded to 4 decimal places?\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/7, -0.2, -4, 2\/27 in increasing order.\nAnswer: -4, -0.2, 2\/27, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1051293, 1051295, 1051297, 1051299, 1051301, 1051303?\n\"Answer: 2*g + 1051291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -3*j + 309*j**2 - 63*j**2 - 7 + 3. Let a be l(-4). Suppose 0 = -x + 9*x - a. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (43\/215*20\/14)\/((-20)\/(-21)). Let g(z) be the first derivative of 1\/15*z**3 + 0*z - v*z**2 - 26. Factor g(q).\nAnswer: q*(q - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -459 + 851. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 276, 278, 274, 258, 224, 166?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-10)\/65 + (-472)\/(-26) + -1. What is the remainder when 646 is divided by 1834\/s + 13\/((-1547)\/(-14))?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4.9 in -28, -1\/148, -0.3, -4\/3?\nAnswer: -1\/148","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 2*z = 4*g - 470, 0 = -5*g + 4*z + 470. What are the prime factors of g?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 3*y = -11, 3*a = -3*y - 0*y + 9. Let h(b) = -3*b**3 - 3*b**2 + 1. What is the units digit of h(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -2) + 1*3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**3 - 228*h**2 - 2126*h - 1643. Determine i(237).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.01?  (a) -0.04  (b) 1  (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*2*((sqrt(14)*-2*-4 - -2*sqrt(56))\/(sqrt(35)\/((sqrt(120)\/sqrt(3))\/sqrt(8))) + -5).\nAnswer: -40 + 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66 = 2*h + u, 3*h + h - 4*u - 120 = 0. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1972 + 6403. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6221409?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 840 divide 6110160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1 + 56*f - 220*f**2 + 1 + 448*f**3 + 15*f - 121*f - 192*f**4.\nAnswer: -2*f*(4*f - 5)**2*(6*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 263291 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -26\/1463 and 109\/70?\nAnswer: 14630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -1148*v**2 + 224. Let u(h) = -51*h**2 + 10. Let f(d) = -5*j(d) + 112*u(d). Let m(k) = -40*k + 2. Calculate f(m(y)).\nAnswer: 44800*y**2 - 4480*y + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v**3 - 484142*v - 484133*v + 14*v**3 + 968275*v.\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 46*m**2 + 2*m. Let v(n) = 2*n**2 - 3*n. Let k(y) = -10*y**2 + 14*y. Let h be ((1 - 3)*3)\/(26 + -28). Let i(c) = h*k(c) + 14*v(c). Give x(i(d)).\nAnswer: 184*d**4 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = h - 10. What is the remainder when h is divided by -4*((-188)\/48 + 6\/9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -239 + 247. Let n(s) = 6*s**2 - 3*s + 42. What is the tens digit of n(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -139\/6336 and 127\/6336?\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, -1, 0.38, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 3 - 5. Suppose 7 = b*h - 5. Suppose h*o - 14 = 4*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7 - -21. Let n be (-7)\/(h\/16)*-1. Differentiate -11 - 4*w**4 + 3 - 6*w**n + 0*w**4 wrt w.\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*((-12)\/(-8))\/(-3)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 886 - 866. What is the remainder when 1539 is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*(g\/(((g**(9\/7)\/g)\/g)\/g)*g*g)\/g*g*g*g**(1\/26)\/g)\/((g\/(g\/(g\/(g**(-9)*g)))*g)\/(g*g**(7\/4)*g*g)) assuming g is positive.\nAnswer: g**(183\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/9, 4, -0.08, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 361.7986 milliseconds in seconds?\nAnswer: 0.3617986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 333 + -301. What is the least common multiple of 48 and u?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(8\/3)*k)\/(k\/k**6) assuming k is positive.\nAnswer: k**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the third derivative of 0 + 1\/12*r**4 - 97*r**2 + 0*r + r**3. Let x = -4 - 3. Give o(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 76, 147, 222, 301, 384, 471?\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 937167 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-6)*(-38)\/(-76).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-65)\/100 - (-2)\/5. Let m = -0.4 + 0.7. Let k be 7*((128\/(-56) - -2) + 0). What is the closest to 0.2 in r, k, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 3 h when four letters picked without replacement from {p: 9, h: 4, u: 3, z: 2}.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the second derivative of 55\/96*g**4 + 13\/8*g**2 + 3*g + 79\/48*g**3 + 1 + 1\/80*g**5. Factor a(k).\nAnswer: (k + 1)*(k + 26)*(2*k + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -474920*l**3*p**3 - 5*l**3*p - 3*p**3 - p**2 - p - 63835 wrt l.\nAnswer: -1424760*l**2*p**3 - 15*l**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1340 and -2.1?\nAnswer: -2814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.3, 0.3, -5, -4, 20.06?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3063598464 divided by -6?\nAnswer: -510599744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-14)\/56*68056\/(-181)\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -383, -1308, -2849, -5006, -7779, -11168, -15173?\n\"Answer: -308*m**2 - m - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -598, 5 in descending order.\nAnswer: 5, -2, -598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*n**2 + 129*n**3 - 2*n**2 + n**4 - 3*n - 53 - 45 + 96 in the form f*n**4 + s*n**2 + b + d*n**3 + p*n and give d.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*f + 28 = -20. Let s be 195*2\/f + -7. Which is greater: s or -136?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 2*b = -18, 7*l - 3*l - 28 = 5*b. Let h(v) = -v**2 + 5*v - 1. Let c = -5 - -14. Calculate the remainder when c is divided by h(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 - 1 + (-4 + 0 + 2)*(1 + 2 - 2))*(34 + 3*r - 34).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 4) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*k + 3*k + 2*k + (0*k - 4*k + 2*k)*(2 + 2 + 3) + 0*k + 0*k + 2*k)*(2 - 1 - 3) to the form h + u*k and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171)*1*6)\/((sqrt(225)\/sqrt(5))\/sqrt(5)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 272*l**2. Let p(b) be the second derivative of b**3\/3 + 42*b + 5. Give p(u(z)).\nAnswer: 544*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*s - 29 = -m, -s - 2009116 = -5*m - 2009094 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2611, 2\/11, 0.1, -4, -0.1.\nAnswer: -2611, -4, -0.1, 0.1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 3 - 1 = 0. Let y = b + 3. Suppose -4*z = -5*z + y. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, t: 1, h: 1, l: 1, w: 1}. Give prob of sequence lh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 99164 times -3\nAnswer: -297492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 9*g - 17 = -6*g, -2*y - 2*g - 26 = 0. Which is smaller: y or -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 35*c**2. Let r(v) = -v**2. What is o(x) + 28*r(x)?\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 5*l - 35 - 12 = 0, 0 = 5*n + 2*l - 37. Suppose 3*a - 3*b - n = 0, -2*a - 5*b = 3*a + 15. Solve 2 = 2*u - 4*t - 2, a = 5*t + 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -5*v + 2586, 3*d - 167 = -4*v + 1773. What are the prime factors of d?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/600866304 and 61\/38765568.\nAnswer: 1201732608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 29614 = -3046. Let k = -177183\/20 - z. Calculate the common denominator of k and -59\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1 + -1)*32\/288. Which is the nearest to 2\/31?  (a) q  (b) -1\/9  (c) 0.2  (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11*v**3 + 119*v**2 - 119*v**2)*(-3 + 9 + 1) + (-3*v**2 - 2*v**2 + 3*v**2)*(v + 0*v + 2*v).\nAnswer: -83*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3 - 4) + 18 + (-1 - 1). Suppose 0 = -g*x + 13*x. Suppose x = -7*r + 2321 + 2936. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (9\/(-12) - -1)*2*10. Is ((-3)\/m)\/(-1) - 310480\/(-200) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1443823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are 23 and -11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add -224142085032 and 5.\nAnswer: -224142085027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - (15 + -11 + -6 + -14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -266463, 5, -2\/3, 0, 3, 0.1.\nAnswer: -266463, -2\/3, 0, 0.1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 5  (b) 2\/5  (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 58*v. Let h(q) = 98*q + 7. Let y(j) = 159*j + 11. Let f(x) = 8*h(x) - 5*y(x). What is m(f(w))?\nAnswer: -638*w + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6\/5?  (a) 10  (b) -8\/6073  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -8 + (-66)\/(-6) + -1. Put 79, -3, j, 1 in ascending order.\nAnswer: -3, 1, j, 79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/9, -3, 3149 in decreasing order.\nAnswer: 3149, 2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 72 and 19512?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:19 AM and 10:43 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-240)\/(-14))\/(((-48)\/(-42))\/8). Suppose 5*b + b = o. What is the lowest common multiple of b and 26?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 2*h**2 + 3*h - 6. Let w be c(-5). Suppose 3*u + w - 56 = 0. Calculate the remainder when 43 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2795488.2 minutes to hours.\nAnswer: 46591.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = 2*b + 6. Let j = -9 - -18. Suppose -4*c + c = -j. Solve -o = b*o - 2*g - 12, 5*o = -c*g + 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 426*a + 369. Let n(q) = 1276*q + 1103. Let i(f) = 2*n(f) - 7*u(f). Differentiate i(z) wrt z.\nAnswer: -430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -2\/9, -4\/3, 1\/5 in increasing order.\nAnswer: -8, -4\/3, -2\/9, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 + 4. Differentiate -s*f**3 - 1 + 7 + 6*f**3 with respect to f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00600754007 rounded to five dps?\nAnswer: 0.00601","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 14*l - 143 = 17*l, 0 = 5*l + 15. Calculate the remainder when 735 is divided by i.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1216) - (sqrt(1216)*2 + -5).\nAnswer: -8*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -138*z - 160*z + 309*z + 5*z**2 - 3*z**2 + 1. Let v(w) = 2*w**2 + 10*w. Give -2*a(x) + 3*v(x).\nAnswer: 2*x**2 + 8*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 2*v**2 + 32*v + 450. Does 25 divide q(50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from faaffffaafaaaf. Give prob of picking 1 a and 2 f.\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x + 4*j - 8, 10*x + 29 = 5*x + 3*j. Let l be (2\/x*2)\/(-1). Solve -3*k = 4*g + 2*k - 16, k - l = -3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -2*z + 10. Let b be p(-4). Suppose -j + 4 = j. Solve -4*w - 38 = 3*m - 7, -j*w = 2*m + b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 10*o**2 - o - 2. Let h be j(-1). Suppose -h = 5*s - 24. Suppose s*a - 104 = -2*y - 0*y, 0 = 4*a - 4*y - 152. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (-17 - (-19 - -6)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, 4\/5, 0.4, 4, 7\/6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2459 - 34365\/14. Suppose 0*g = 2*g + 4954. Let s = 24749\/10 + g. Calculate the common denominator of b and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (90\/75)\/(144\/240). Suppose -2*a = -4*o - 0*a + 22, -17 = -4*o + a. What is d in -8\/3*d + 1\/3*d**4 + 8\/3*d**o + 5*d**w - 16\/3 = 0?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 3*y = 4*i - 4, i + 10 = 5*y. Let g = 2 + i. Suppose -17 + 2 = -5*n. Solve 2*z - g*j = -0*z + 18, n*z - 2*j = 22 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 24 + -20. What is the second biggest value in -1\/2, o, -5, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7502922 by -322.\nAnswer: -23301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -3*t**2 + 30*t - 93. Calculate v(13).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -134.968 + 134.968. Let h = 7\/12 + -3\/4. Sort -5, -84, g, h in descending order.\nAnswer: g, h, -5, -84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8351 - -8350.89. Which is the biggest value?  (a) q  (b) 4  (c) -2  (d) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 270\/6 + -22 + -3\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pvsb when four letters picked without replacement from {s: 8, b: 1, v: 4, p: 2}.\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:22 PM and 9:55 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -171, -170, -169, -168?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(68) + 4 + (sqrt(68) - sqrt(68)*-3)\/sqrt(4) - (sqrt(68)\/sqrt(16) + (sqrt(68) + 2)**2).\nAnswer: -68 - 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14203*c = -14211*c - 112 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 0*z = -4. Suppose -w + 162 = 2*n, z*n + 0*w = w + 154. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.3935115 years?\nAnswer: 0.0003935115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 40.0792 - 42.979201. Let z = b - -2.9. What is z rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((2 - 2)\/(-2))\/2. Let y = -20 + 21. Is l > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 17968\/231 - 2548\/33. Find a such that d*a + 0 - 2*a**3 + 10\/7*a**2 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 16 - -20. Let i = -926 + 1016. Calculate the greatest common divisor of t and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 590*t - 8 = 588*t, 2*s - 2*t = 3086. Is 22 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -7*n**2 - 6181*n - 12186. Let o(y) = 60*y**2 + 55605*y + 109675. Let p(g) = 35*j(g) + 4*o(g). Factor p(u).\nAnswer: -5*(u - 1219)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*y - y = -60. Let g(q) = 2*q**2 + 2*q. Let s be g(-5). What is the greatest common factor of y and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the second derivative of w**5\/110 - 65*w**4\/66 + 31*w**3 + 99*w**2 + 49*w. Suppose l(u) = 0. Calculate u.\nAnswer: -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -336*i - 15934 + 15934 in the form b*i + l and give b.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 5419408 times -0.7\nAnswer: -3793585.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-2 + (-1*sqrt(9072)*-2)**2 + -2)*-5.\nAnswer: -181421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 76.86 + 0.14. Let y = 79 - z. What is the closest to 0.2 in 5, -1\/3, y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -2889*z. Let s(c) = -3*c**2 - 7628. Give s(q(y)).\nAnswer: -25038963*y**2 - 7628","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-3*1)\/21)\/(3428\/(-5999))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 63537 is divided by 1444.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*c**4 - 3397652*c**3 + 80162219092*c**2 + 222701313268*c - 53447771544 = 0 for c.\nAnswer: -3, 2\/9, 47191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**3 + 10*t**2 + 13*t + 33. Let u be r(-9). What is the second smallest value in -1\/3, 1\/3, -11, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*p - 12 = -52. Solve n - 2 = a, p*a = -3*n + 5 + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 271712*2.92\nAnswer: 793399.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4030684 to the nearest integer?\nAnswer: 2008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 128383.\nAnswer: 19, 29, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, o: 1, w: 1, c: 2, a: 2, u: 1}. Give prob of sequence oc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in 0, 433, -0.5, -1, -44?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.090915027 to five dps.\nAnswer: -0.09092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**3 + 10*t**2 + 3*t + 2. Let i(m) = m**3 - 9*m**2 - 3*m - 2. Let v(d) = -7*i(d) - 6*s(d). Let p be v(4). What is the units digit of 1\/2 + (-15)\/p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -7828 or -7627?\nAnswer: -7627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-23)\/y)**(-12\/7)\/((((y\/(y\/(y\/(y\/(y\/(y*((y**(-1\/3)\/y)\/y)\/y*y))))))\/y)\/y)\/(y*(y\/((y\/(y**5\/y))\/y))\/y)))**28 assuming y is positive.\nAnswer: y**(3848\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -12\/5*x**3 - 21\/5*x**2 + 3\/5*x**4 + 6*x + 0 = 0?\nAnswer: -2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 210 = -5*m, -z = 4*m + 4 - 49. Suppose 703 = 4*b - 773. What is the highest common factor of z and b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59 = -5*k - 3*m, 0 = 4*k - 5*m + 21 - 83. Let w(h) = 45*h - 88. What are the prime factors of w(k)?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/11, -15, -2\/7, 0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -37\/3 + 79\/6. Which is smaller: f or 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11.16 - 11. Let p = -335098 + 335098.160007. Let f = p - y. Round f to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 24 = f, -5*x + 3 = -5*f - 2. Suppose d + z + 5 = -0*z, -x*z = -2*d + 25. What is the tens digit of d + 2 - -10*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 416 divide 262140837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 1 + (2 - 5) + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27237*y**3 + 62512*y**3 + 32045*y**3 + 24563*y**3.\nAnswer: 91883*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -321\/22 or -16?\nAnswer: -321\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the second derivative of -l**5\/4 - 59*l**4\/6 - l**2\/2 - l + 28. Find the third derivative of t(c) wrt c.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(4 + sqrt(171)))**2.\nAnswer: 24*sqrt(19) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1539) + 2 + sqrt(1539) - sqrt(19)) + sqrt(19) + sqrt(76)\/sqrt(4)*-1)*5 + -4 + sqrt(38)\/sqrt(2) + -4 + (sqrt(190)*1)\/sqrt(10).\nAnswer: 2 + 87*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 125.4 and 550.\nAnswer: 68970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 6*z**3 - 2*z**2 + 1. Let i be b(1). Let l(f) = -362*f + 178*f + 185*f + 6. Determine l(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1955*n**3 + 586*n**3 + 581*n**3 - 3120*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13615 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the third derivative of r**6\/480 + 29*r**5\/240 + 247*r**4\/96 + 169*r**3\/8 + 27*r**2 + 4. Let n(o) = 0. What is o?\nAnswer: -13, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9 - 6. Let w be (-1)\/(t\/54*-2). Let k be 2\/(-2) + w + -7. Is 1 != k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4728452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 7370 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1507 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 196652761040905 + -196652641036282.999913. Let c = -120004442 + b. Let m = 180 - c. Round m to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -27 + 110 - (105 + 4)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -22 - -13. Let a = c + 5. Let z be 4\/(-6)*(-18)\/8. What is the third smallest value in a, z, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000008310205052 rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -12 - -16. Solve -8 + 0 = h*x + 4*r, 2*x - 3*r + 4 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, -10\/9, 189017, -2, 1, 0.5, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 205215897?\nAnswer: 3, 1123, 60913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 208483\/334845 + -3\/7441. Let i = m + -2\/5. Let j = -230 - -463\/2. Sort i, 1\/3, j, -1\/5 in ascending order.\nAnswer: -1\/5, i, 1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 916420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -4662*h + 60722. Determine l(13).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1085.\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 24305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -815 - -2472. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 586 minutes after 2:37 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 107911327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -52\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 207495 is divided by 77.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 178455 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1201, -4823, -10859, -19309, -30173, -43451, -59143?\nAnswer: -77249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -88505917 divided by 661\nAnswer: -133897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9.2 + 52030478.\nAnswer: 52030487.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -28*k**3 + 25*k**2 + 3*k - 33. Let v(c) = 17*c**3 - 12*c**2 - 2*c + 16. Let z(j) = -5*v(j) - 3*x(j). Calculate z(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -45047 (base 11) in base 9?\nAnswer: -108472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 12 = -4*r, 3*h - 2 = 2*r - 8. Does 14 divide 5 + -2 - 0 - (-1170 - r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:44 AM and 9:44 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2145, 5, -0.008, 3.\nAnswer: -0.008, 3, 5, 2145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 28 = -3. List the prime factors of (5\/(-4))\/(y\/(-20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -80683\/19 or -4247?\nAnswer: -80683\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 133 = -129*j + 136*j. Suppose j*p = 23*p - 3*h - 2305, -5*h = p - 559. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7806771 to the power of 1\/2, to the nearest integer?\nAnswer: 2794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 515295 is divided by 2629.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 11, 1\/3, 4, -0.192?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 - 10*d**2 + 9*d - 1. Calculate a(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3248?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the second derivative of -a**4\/12 + 5*a**3\/3 + 5*a**2\/2 + 4*a. What is the lowest common multiple of p(9) and (-1)\/3 + 95\/15?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1697 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -15106 times -4\nAnswer: 60424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -24*z**3 - 151*z**2 + 914*z - 1350. Let y(g) = 187*g**3 + 1209*g**2 - 7311*g + 10800. Let f(a) = -78*m(a) - 10*y(a). Factor f(v).\nAnswer: 2*(v - 150)*(v - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**3 - 10*i**2 - 18*i + 21. Let j be a(10). Let k = 161 + j. Let h = -2 - -4. Solve -h*r - k*n = 8, 7 + 0 = -4*r + 5*n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -11967*m**2 - 18065?\nAnswer: -23934*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-4\/5)*v**4\/v*v)\/((v\/(v*v*v\/(v**(-1\/2)\/v)))\/(v\/v**(-5))) assuming v is positive.\nAnswer: v**(127\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, 1, -2, -668?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11 - j - 11)*(1 + 2 - 5).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 694, 1134, 1530, 1888, 2214, 2514, 2794?\nAnswer: 3060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 13136 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 30 = 6*t. Let d be (267\/(-18) - -1)\/((-2)\/t). Which is smaller: -21 or d?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 minutes after 2:34 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 518.5 and -27?\nAnswer: -13999.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -21 - -21.015. Let g = -0.085 - u. What is the closest to g in -2, -2\/11, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.188072 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*h = -3*a - 18*h + 14829028, 2*h = 2*a - 9885986. What is a rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = j - 6*j + 6, -5*i = -3*j + 10. Let v(w) = -10*w. What is the remainder when v(i) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that 2*z**3\/3 + 28*z**2 + 392*z + 5488\/3 = 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -213883\/147 + 1455. Let f = 578\/735 + z. Which is bigger: 1.1 or f?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (33*d**2 + 10*d**2 - 13*d**2)*(0 + 4 - 1) + (3*d - 3*d + d**2)*(2 - 6 + 2).\nAnswer: 88*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1102413 and 2289627.\nAnswer: 29765151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 126287795.3 less than -22057?\nAnswer: -126309852.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 188107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -21, -1, 5, 2, 138 in descending order.\nAnswer: 138, 5, 2, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 37*j - 1. Let u be m(1). Suppose -2 = -r + u. What is the remainder when r is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/3, -104.5, 34, 22.6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -2*g**3\/5 - 304*g**2\/5 + 25426*g\/5 - 23856 = 0.\nAnswer: -213, 5, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 11*q - 519. Calculate h(44).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 - i**2 - 5*i - 5. Let y be b(-3). Suppose -y*s = -31*s - 483. Let z = 410 - s. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -27067*r**4 + 170977?\nAnswer: -108268*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-32)\/(-12))\/(-2) - -1. Suppose -12 = 3*u - 2*u + 4*y, 3*y + 2 = u. Let w = -0.2 - 0. Put w, u, o in descending order.\nAnswer: w, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6830 and 970?\nAnswer: 662510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**2\/2 - 253*s\/2 + 126.\nAnswer: (s - 252)*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**3 - 9*z**2 + z - 8. What is g(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1*9*(-186)\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9?  (a) -2\/5  (b) -1  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 4, u: 1, s: 1, b: 2}. Give prob of picking 1 d and 2 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + 24510151110?\nAnswer: 24510151102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 9*x**2 + 4. Let w(f) = -125*f**2 - 55. What is 55*m(y) + 4*w(y)?\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 6, x: 10, p: 2}. What is prob of picking 1 p and 1 x?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -95*y. Let n(v) be the third derivative of v**5\/30 + 101*v**2 + 2*v. What is n(q(j))?\nAnswer: 18050*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**3 - 3*w**2 + 5*w - 4. Let b be s(3). Suppose b = p - 0*p. Calculate the lowest common multiple of (-8 + 4)*((-36)\/(-16) + -3) and p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*q + 5*q - 12*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -524 - -524. Let c(s) be the third derivative of 0*s**4 + 2\/15*s**5 + l*s**3 + 0*s + 0 - 6*s**2. Let z(n) = -n. Determine c(z(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 247162 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/136 and 115\/14?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 33 - 39. Which is the second biggest value?  (a) -2\/9  (b) s  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 6582 and 6583 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 344 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.02 and -59.\nAnswer: -1.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -287 - -287.4. What is the closest to 16 in -5, 1\/2, t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5 and 305.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 6 = 0, -3*i - 2*i = -2*d + 66. What is the remainder when 54 is divided by d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 + 3*l**2 - 2*l - 4. Let o(x) = -x**3 - x**2 + 1. Give 3*o(q) + t(q).\nAnswer: -4*q**3 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -36 in 1\/2, 0.07, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the third derivative of 1\/3*l**3 + 0 + 1\/270*l**5 - 4*l**2 + 1\/18*l**4 + 0*l. Find b, given that m(b) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 18\/(-126) - (-110)\/84. Let z(h) be the first derivative of 4\/9*h**3 + 4 - 1\/3*h**4 + 2\/3*h + n*h**2. Suppose z(g) = 0. Calculate g.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2260273*a + 2260274*a - 4520562*a.\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 17195931 divided by -4313?\nAnswer: -3987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**2 + g + 4. Let r be j(0). Let a = 0.6604 + 297.4396. Let k = 298 - a. What is the nearest to -4 in -0.3, k, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 22 + -16. Suppose -c + 2 = -4*s. Is 18 a factor of 9\/27*(s + 92)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -49.79999418 - -49.8. Round c to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -763 - -987. Calculate the remainder when b is divided by 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -3*h + 51. Suppose 7*f - 2*f = -h. Let v be (-2)\/f*(-36)\/(-8). Solve -v = 2*g - 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a factor of (-912)\/(-171)*((-2562)\/(-4) - (0 + 0))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 40?  (a) 5  (b) 1\/7  (c) 1  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4683 and 962649968?\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 2*k + 1819290 = -315502, 5337001 = 5*f - 2*k. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -49\/26 and 37\/52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-12))\/((-3)\/3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -199\/26040 and 101\/20602848.\nAnswer: 103014240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 163\/68418 and -67\/3258.\nAnswer: 68418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 141 = 51. Suppose h*o - 13*o = 5. Suppose o + 3 = i. Solve -5*w - i = -2*w + a, -4*w = -2*a + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 403541720 a multiple of 5480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.20626 times -0.3391\nAnswer: 0.069942766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c + 1 + 1. Let n be (-3)\/(2\/c) + 1. Let j be 4\/8*n\/(-6). Are j and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 445*r + 4 = 441*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7330.\nAnswer: 2, 5, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + -8. What is the common denominator of (-8)\/(-18)*(f - -3) and (-6)\/(-27) - (-922)\/144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 14*g**3 + g**2 - 1. Determine h(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 150*o - 85*o - 3182 = 33*o + 118*o for o.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76*t - 77*t + 212 = 0. Let l = t + -7. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -m**4 - 93*m**3 + 181*m**2 + 1916*m + 5.\nAnswer: -12*m**2 - 558*m + 362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 143727545.\nAnswer: 5, 13, 101, 21893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - j = -2, -3*x + 14 = 4*j. Suppose 8 - 14 = -x*n, 0 = 4*i - 4*n. Solve 0 = -2*l - 4*u + 6, -5*l - 7 = i*u - 22 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*c - 43 + 43 + (2 + 1 - 5)*(3*c - c - 3*c) + 3618*c - 2052*c - 2413*c.\nAnswer: -839*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -3*d**2. Let x(u) = -7*u + 1. Give x(k(h)).\nAnswer: 21*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0151 - 148770259.\nAnswer: -148770259.0151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 5, c: 1, h: 3, d: 1, g: 5}. Give prob of sequence vg.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3388 + 3427. What is the smallest common multiple of a and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*z + 5*w, -z = z + w - 19. Suppose -10 - z = -a. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in 5, 0, -1.8, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**4 - 1792*l**3 - 809952*l**2 - 6393856*l - 12730624.\nAnswer: -(l + 4)**2*(l + 892)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 111011001011001 (base 2) to base 6\nAnswer: 352133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 209142 is divided by 4527?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 4*n - 26 = 0, 22 = s + n - 6*n. Suppose -c - s*c + 6 = 0. Calculate the remainder when c*(-2)\/4 - -50 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -44497 != -44496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (767 + 9)*(1 + 0)\/1. Let z = h - 628. Calculate the least common multiple of 6 and z.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 0*y - 5*y = 25, 20 = -4*y. Suppose -5*o - w + 208 = 0, r = -3*o + w - 3*w + 122. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -3*x - 23. Suppose 11 = n - 5*q, 2*n - x = 5*q - 6. Suppose n = -3*s + 36. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - -44) + 49 + 9 + -49?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1\/(-2)*(-4466)\/(11 - 0) is divided by 38?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 42 = -8*w - 4*i, -w = 2*i - 6. Let d = 242 - 42. Suppose 4*p - 8*p + d = 0. Calculate the highest common factor of p and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 792 - 792. Let r(j) = j**2 + j + 1. Let m(y) = 3*y**2 + y - 11. Let k(h) = m(h) - 2*r(h). What is k(a)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1516.35 + -136.75. Let a = -1650.1036 - k. Let z = a - 3. What is z rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 225 + -516. Let p be (-1)\/(-7) - g\/21. Solve 4*c - p = 6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -398*b + 399*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the second derivative of -31*h**4\/6 + h**3\/3 + 31*h**2 - 106*h. Find the second derivative of q(a) wrt a.\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54604?\nAnswer: 2, 11, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 8*a**2 - 97*a**2 + 3 in the form g*a + w*a**2 + l and give w.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1349839?\nAnswer: 179, 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-4)\/6)\/(8\/(-36)). Suppose 2*n + 0*n = 3*r - 1, a*r + 7 = 4*n. Suppose r*s + 0*s = c - 101, 2*c + 5*s - 180 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2822883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - (2 + -2)) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2308, 8938, 19890, 35164?\nAnswer: 54760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 554 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5.948424491 - -5.9484. What is p rounded to seven decimal places?\nAnswer: -0.0000245","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3387549?\nAnswer: 3, 11, 102653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -66903, -66904, -66905, -66906?\nAnswer: -66907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.407 + -35.393. Let a = -41 - k. Let j = 5.16 + a. What is the third smallest value in j, 1\/10, -3\/2, -2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes after 5:28 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (28 + 2*h - 52 - 14)*(-2*h - h + 2*h) as u*h**2 + c + b*h and give b.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*u + 11*u - 7981*u**3 - 8612*u**3 + u.\nAnswer: -16593*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -388 - -655. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 2*p**2 - p - 2. Give r(-4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -29438 + -5?\nAnswer: -29443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k - 29. Determine t(0).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from epepgeepppg.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*-4*sqrt(3)*-2 + (sqrt(6)\/(sqrt(6)\/sqrt(3)) - (sqrt(300) - sqrt(300)*2)**2).\nAnswer: -300 + 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -3, 129 in decreasing order.\nAnswer: 129, 9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -723232 - 5328797\nAnswer: -6052029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.5 - -2.3. Which is greater: 0.05 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(0 - 11) - ((-478114)\/7029 - -68)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4912 + 5*f**2 - 6*f**4 + 13*f**3 - 5*f**2 - 2449 + 7*f - 2458 in the form s*f**3 + z*f + c*f**4 + t + x*f**2 and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 - -7. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - z**2 - 2)*(6*z - 3*z - z) - z**3 + 2*z**3 + 0*z**3 - 3*z**3 + 3*z - 3*z to the form i*z**2 + x*z + t*z**3 + k and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.11466407  (b) -5  (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(1*-2*90\/16))\/((-255)\/(-153))\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**2 - 9*j + 8. Let h be c(-8). Suppose 12*p - h*p - 20 = 0. Does -4 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 342 and 402726?\nAnswer: 22955382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 104 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 2839 + 0.2\nAnswer: 2839.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-5)\/(-4) - (-3)\/4. Let x be (10 - 10) + (-3 - b). Let d(o) = 43*o**2 - 3*o + 4. Let a be d(x). What is a rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 1  (b) -3  (c) -341\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes before 1:30 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -665 - -625.3. Let v = y - -40. Sort v, -0.2, 1\/2.\nAnswer: -0.2, v, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -191918246 - -64071\nAnswer: -191854175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9 + 12. Solve 0 = -y*f - 3 + 18 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 193 + -187. Suppose 4*b + 42 = z*b. Calculate the greatest common divisor of b and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -359 or 689126?\nAnswer: -359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 4*t - 6. Let q(f) = -11 - 4*f**2 + 6*f + 384*f**3 + 101*f**3 - 10*f**2 - 469*f**3. Let u(l) = -3*l**3 + 3*l**2 - l + 2. Calculate t*q(s) + 11*u(s).\nAnswer: -s**3 + 5*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*(-10)\/80*10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum -4329575 and -7.\nAnswer: -4329582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -19929.6125 rounded to the nearest 1000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes after 8:06 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 107622361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 142 - 74 = 164*w - 96. Let k = -0.3 - -0.5. Which is the closest to 0.1?  (a) w  (b) k  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -107, -106, -103, -98?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 730*g - 3*y = 725*g - 67, 0 = -4*g + 5*y - 64 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide (-132 + 120)*(-2190)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:02 PM and 6:13 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15344*z + 843323 - 45702 = 852*z - 593611 for z.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13 - -16. Suppose 4*w + 86 = -2*o, 2*w + 97 = -z*w + o. Let a = -10 - w. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the second derivative of -x**3\/6 - 37*x. Let h(l) = 8*l**2 + 9*l + 9. Let n(s) = 2*s**2 + 2*s + 2. Let i(o) = -2*h(o) + 9*n(o). Give d(i(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 7\/4 of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -1 + 2*(sqrt(11) + (-2 + sqrt(11))**2 + 2 + 1 + 1 + sqrt(11)) + -3)*3.\nAnswer: -12*sqrt(11) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the first derivative of 0*u**5 + 0*u**4 + 209\/6*u**6 + 0*u**2 + 166 - 8*u**3 + 5*u. Find the third derivative of r(q) wrt q.\nAnswer: 12540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -118*z + 113*z + 7 + 2*z**3 - 791*z**2 - 204*z**2.\nAnswer: 2*z**3 - 995*z**2 - 5*z + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 444549 and 19887.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, z: 5, g: 1, b: 4}. What is prob of picking 2 z and 2 b?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.7 + -0.7. What is the nearest to 0 in -0.07, t, 1\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -167\/10290 and -149\/7350?\nAnswer: 51450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1157 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes after 8:05 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 40\/(-64)*-4 + 9\/6. Suppose x*j - 3*z - 18 = 0, j + 0*z = 3*z. Calculate the least common multiple of j and 4\/(-1)*(-11)\/2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*t**3 + 40*t**2 - 465*t + 900.\nAnswer: 5*(t - 4)*(t - 3)*(t + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4104834284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 2*f - 10. Let v be q(5). Suppose 6*o - 4*o - u = 15, v = -3*o + 5*u + 19. Find the third derivative of -13*r**6 + o*r**2 + 72 - 72 wrt r.\nAnswer: -1560*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*r - 5*r + 5*r + (-4*r + r + r)*(-1 - 1 + 3)*(2 + 4 + 1).\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000727457415 to six decimal places.\nAnswer: -0.000727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (-7 + (2 + -10 + 11 - 96)).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12401 is divided by 2144?\nAnswer: 1681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 + -5. Let i(u) = -80*u**3 - u**2 - 2*u - 1. Let n be i(r). Suppose -13*d + 157 = -51. What is the greatest common divisor of d and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + 64 - (34 + 6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 31*d + 177. Suppose 12*i + 55 = i. Let y be k(i). Is y smaller than 89\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 210067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19, 47, 97, 181, 311, 499, 757?\nAnswer: 1097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p - 2 = 3*s - 10, 0 = -3*p + 5*s - 23 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6\/467 or -1.04?\nAnswer: -1.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -78*v + 59*v + 418. Let j(n) = n**3 - 21*n**2 - 24*n + 49. Let k be j(v). Solve 0 = -6*r - k*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 430 is divided by 366?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*d + 2*m - 118, 0 = 105*d - 209*d + 102*d + 2*m - 82 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 2506 * -8200\nAnswer: -20549200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 484\/6*(-15 + 13 + -9 - 874\/(-92)).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 516777\/22 - 23486. Let x be (3 - 4) + (-374)\/(-216). Let u = -4\/27 + x. Calculate the common denominator of u and r.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1.27, -0.1, 1, -0.2 in increasing order.\nAnswer: -1.27, -0.2, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8 (base 15) to base 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8 + -2. Let r(t) be the second derivative of t**4\/12 - 2*t**3\/3 + 3*t**2\/2 + 2*t. Is r(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -43083 divided by -4\nAnswer: 43083\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.06255 to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*t**3 - 2*t**3 + 3*t**3)*(33*t - 17*t - 21*t)*(1 + 2*t - 1).\nAnswer: 20*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 77165, 76770, 76401, 76070, 75789, 75570, 75425?\n\"Answer: 2*m**3 + m**2 - 412*m + 77574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4 - (-4 + (6 - 1)). Let a be (-22)\/((9\/3)\/u). Let z = 41 - a. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**3 - 9*c**2 - c - 10. Let z be s(-9). Let t(w) = -w**2 - w - 1. Let g(p) = -8*p**2 - 5*p - 6. Determine z*g(i) + 6*t(i).\nAnswer: 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -149 by -6.\nAnswer: 149\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -522 - -521.5. Let b(y) = -y**3 + y**2 + y - 2. Let j be b(2). What is the second biggest value in 4\/7, j, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46*c**2 - c**2 - 45*c**2.\nAnswer: -92*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + (-7 - (-18)\/(-60))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -6.059 and 35.\nAnswer: 28.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1787434.\nAnswer: 2, 11, 113, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*j + 75 = -8*j. Let o(i) = 0 + 8*i**2 - 8 + 14*i**3 + i - j*i**3 + i**2. What is o(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7728, -7737, -7748, -7761?\nAnswer: -7776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5214 by 158.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(80)*-1*6 - sqrt(80) - (5 + sqrt(80) + (sqrt(80)*-3 - sqrt(80)))) + 3)**2*-3*6.\nAnswer: -23112 - 1152*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the first derivative of m**4\/4 + 2*m**3 - 9*m**2\/2 - 5*m - 1. Let g be u(-7). Factor 10*n**2 - 4*n - g*n**3 + 2*n + 6*n**4 - 5*n**3.\nAnswer: 2*n*(n - 1)**2*(3*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 632598.1 centuries?\nAnswer: 6325981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the second derivative of -d**6\/5 + 129*d**5\/40 + 11*d**4\/8 - d - 28. Factor w(v).\nAnswer: -3*v**2*(v - 11)*(4*v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/15768 and 119\/47304?\nAnswer: 47304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*o + 10 - 60. Suppose -162 = 3*b - o*b + 5*k, 3*b = 5*k + 243. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-14)\/(-21))\/((-4)\/6). Let s be 2 - (-1)\/w - -5. Suppose -32*a + 0 - 9*a**2 + 30*a**2 + s + 5*a = 0. What is a?\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 19, 26, -87, -422, -1081, -2166, -3779?\n\"Answer: -17*g**3 + 42*g**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -5, -21, -3, 1415?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-2*(4*(sqrt(612) + -1) + -4*(sqrt(612) - (sqrt(612) + 2*sqrt(612))) + 1))**2 + -5.\nAnswer: -1728*sqrt(17) + 352541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, l: 9}. What is prob of picking 2 l and 2 t?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 468 + -466. Solve -5*v = -x*u - 10, 4*v = -3*u + 4*u + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1373 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -125 or -11578\/93?\nAnswer: -11578\/93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is four thirds of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -23300 + 23039.54. Let l = -263 - u. Round l to one decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, -21, 9 in decreasing order.\nAnswer: 9, 4, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -43770, -175041, -393824, -700119, -1093926, -1575245?\n\"Answer: -43756*u**2 - 3*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m**2 - 21*m**2 + 4*m**2)*(6 - m - 6)*(-m + 3 - 3).\nAnswer: -17*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.523743cm to kilometers.\nAnswer: 0.00005523743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*u = 4*v - 35*u - 10, -13 = -4*v + 3*u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 5*f + 24 = f, 0 = -2*p + f - 6. Let l be -2 - p\/16*-4. Is -0.1 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 24800434 - 17440758. Let t(s) = 66017*s**3 - s**2 + 6*s + 4. Let x be t(6). Let f = x - u. What is f rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q + q + 0*q + (16*q - 9*q + 58*q)*(5 + 4 - 6))*(-1 + 3*q + 1 + (-4 + 1 + 2)*(-4*q + 5*q + 4*q)).\nAnswer: -394*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**2 + 5*f + 4. Let v(r) = -5*r**2 + 26*r + 19. Let h(t) = 11*a(t) - 2*v(t). Give h(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 39 - 33. Let m be (-15)\/r*(-35)\/25. Solve 43 = 9*a + m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 2 u when four letters picked without replacement from {u: 3, w: 2, o: 1, d: 6, m: 6}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -2*f - 2. Let k be m(-8). Suppose 5*l + 2*p - 59 = 0, 2*l + 0*p - k = 4*p. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*o - p - 1588, 8 - 2666 = -5*o - 4*p. Let v = 99 + o. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**3 + h - 14 + 9 - 16 - 2*h**2 - h**2. Calculate the remainder when p(5) is divided by 26.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 2*n**2 - 13719*n. Let q(c) = -24723*c. What is r(q(z))?\nAnswer: 1222453458*z**2 + 339174837*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 620 + -617. Let b = 0.4 - 0.8. Sort a, b, 0.\nAnswer: b, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 114 is divided by 53?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**3 + 6*p**2 + 4*p - 2. Let w be f(-5). Let r be -15 - 39 - w*1. Let l = r - -93. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 737 + -741. Let k(h) = 2*h**3 - 2*h**2 - 3*h + 2. Let b be k(2). Is -3 + b + d + 12 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 ((-42)\/(-126))\/(1\/40518)?\nAnswer: 2, 3, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**3 + 8*o**2 - 19*o + 1. Give q(6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/13 in -0.5, -610, -2\/9, -1.267?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (8\/3)\/(4\/6). Solve 0 = 5*x + 1 + u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1168 = 19*d - 15*d. Let w = d + 414. Calculate the remainder when w is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3306447 (base 8) to base 12\nAnswer: 369b47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8442 and 15014566?\nAnswer: 135131094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i - 2*i**2 + 3*i + (i - 6*i + 3*i)*(-2*i + 7*i - 3*i))*(i + 430 - 12*i**2 - 430).\nAnswer: 72*i**4 - 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -10809 divided by -3\nAnswer: 3603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*v + 2*m - 971 = 7*v, -996 = -3*v + 3*m. Let n = -2619\/8 + v. Which is greater: 4\/31 or n?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1.18, 3.5.\nAnswer: 1.18, 3, 3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 50\/16 + -5*4\/160. Solve -2*t - 20 = -2*d, -h*t - 14 = 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 45*i + 2. Let d be m(-5). What is d rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2812, 5630, 8448, 11266?\n\"Answer: 2818*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1001 (base 3) in base 15?\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -705 = -z - 4*z - 2*h, -128 = -z - 3*h. Let u be ((-2286)\/(-81) + -27)*9. Calculate the greatest common divisor of z and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3453690?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.121, 3, 49, -1\/5, 1\/3, -3.\nAnswer: -3, -1\/5, 0.121, 1\/3, 3, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 75.30127ng?\nAnswer: 0.00007530127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 492059621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24 and 1845?\nAnswer: 14760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3191 - 34739\/11. Suppose 19*c = 23*c + 132. Let a = r + c. Is 0.2 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 104*y - 62*y + 3013 = -89*y for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -46, -1\/6, -0.2, -0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-5 + (sqrt(3) + (-1 + sqrt(3))**2)*-4)*6.\nAnswer: -378 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -28*o**2 - 2*o - 11. Let y(g) = -19*g**2 - g - 7. Let i(a) = 5*q(a) - 8*y(a). Let w be (-1)\/(-3) - 2\/(-3). What is the tens digit of i(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 5*o**2. Let z(y) be the first derivative of 0*y + 0*y**2 + 9 + 5\/3*y**3. Give z(a(d)).\nAnswer: 125*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 1516 = -2*w - q, -5*w - 3*q + 3796 = 0. Suppose -2*t + 137 + w = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 - j - 140. Let u be p(0). Calculate the common denominator of 0 - (-38)\/36*4 and 63\/u - 1\/(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -85972691 by 11.\nAnswer: -85972691\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-3\/17)*m**(1\/21)*(m**(3\/8)\/m)\/m*m\/m**(-1\/15) assuming m is positive.\nAnswer: m**(-3271\/4760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 17*q**2 + 13 + 9 - 16 in the form i*q + o*q**2 + k and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*q**2 - 15802*q + 26320.\nAnswer: 2*(q - 2632)*(3*q - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/((-2)\/(-14) + (-8)\/(-42)). Is (16 + 66)\/(l - 1) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 3*y = -2*p - 33, -y - 21 = -2*p. Let k be 28\/(-42) - (-19)\/15. What is the nearest to -4 in k, p, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 686900 and 300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18240454 is divided by 312?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**4\/c*c**(-1\/5))**(-10)*c**(-2\/13)*c*c**(-2)\/c*(c*c**(1\/3)*c)**(18\/7) assuming c is positive.\nAnswer: c**(-314\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37 - 29 = 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1820*d + 1842*d = -352 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17211910 + 3*v - 17211910.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -0.025  (b) -0.0808  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1040 + 507 - 1357*o + 533.\nAnswer: -1357*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 286462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 65 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**2\/3 - 35770*d\/3 + 3563084.\nAnswer: -2*(d - 294)*(d + 18179)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -5*q**2 + 76*q + 26. Calculate the remainder when n(8) is divided by 85.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36893455.\nAnswer: 5, 7378691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 5831 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a + 8. Let q be h(-6). Suppose 6*z = q*z + 44. What is the remainder when z is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvvvvssvvvssvv. Give prob of picking 2 v.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**3 + 23*i**2 + 40*i - 48. Let o be d(-21). Sort o, 2, -0.5, 3.\nAnswer: o, -0.5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 35 + -49. Let f be 32\/56 + (-118)\/v. What is the greatest common divisor of 45 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*w + 25923 = -20994. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 227, 679, 1405, 2381, 3583?\n\"Answer: -4*u**3 + 161*u**2 - 3*u + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 5.7*4\nAnswer: 22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 take away -28056853388769.1?\nAnswer: 28056853388769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r + 5*j = -4*r - 104, 0 = -5*r + j + 260. Suppose 2*f - 314 = 2*p, 2*f - 2*p - 298 = -4*p. What is the remainder when f is divided by r?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 15\/4 of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-50)\/(-30)*5\/((-650)\/(-36))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/(-111)*(6579\/204 + -32)\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 3*y + 0 - 1 + 0*y + 30*y**2 - 12*y**2. Let q be i(1). What is the common denominator of 2\/10 + 191\/q and -44\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -549867  (b) 0.5  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -20517, -20506, -20495, -20484, -20473?\n\"Answer: 11*p - 20528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -26172146 not equal to -26172147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*y + 5*y + 2*y)*(6 - 4 - 5) to b + u*y and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26608?\nAnswer: 2, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*o = -g - 62, 182597*g = -5*o + 182600*g + 58 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/12 and -89\/168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l - 17 + 57 = 0. Solve 0 = -l*t, -2*g - 5*t = -5 - 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 371213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the third derivative of -5*t**8\/8 + 159*t**4\/4 + 978*t**2. What is the second derivative of a(w) wrt w?\nAnswer: -4200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 10527, 20665, 30465, 39927, 49051?\n\"Answer: -169*r**2 + 10645*r + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 2*c**3 + 6*c**2 - 9*c + 3. What is the remainder when j(2) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 139163671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 25.2 - 25.8. Which is greater: d or -30?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c - 19 + 67. Let h = 14 - 8. What is the lowest common multiple of h and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.01391 and -0.08.\nAnswer: -0.0811128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -26 or 20.6?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/(6\/2)*1. Let g(f) be the first derivative of 3*f**4\/4 - f**3\/3 - f**2\/2 + f - 3. What is the units digit of g(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2205) + 2)*-4 + 0 + -2 + 2*(-2 + sqrt(2205))*-2 + -2)**2.\nAnswer: 1344*sqrt(5) + 141136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 534776533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.422 + -2.372. What is the nearest to 0.3 in 2\/11, 0, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4950938\/32862915 + 3\/81143. Calculate the common denominator of 41\/180 and q.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -5*t. Suppose 6*g - 9*g + 45 = 0. Suppose 19*q - g = 16*q. Let d(x) = -19*x + 5. Let n(o) = 17*o - 4. Let l(h) = q*n(h) + 4*d(h). What is y(l(c))?\nAnswer: -45*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -34909, -139588, -314053, -558304, -872341, -1256164, -1709773?\nAnswer: -2233168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 276, 1656, 5274, 12252, 23712, 40776?\nAnswer: 64566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together -4447 and -35.52.\nAnswer: -4482.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes after 3:57 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1773242.\nAnswer: 2, 373, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 190 times 0.1?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = 5*o - 10*o + 3*c, o = -2*c - 7. Suppose o*m - m = 0. Let t(r) = r**3 + 6. Let u be t(0). Solve 0 = -3*f - m - u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*i**2 + 2647 + 11*i - 2647)*(-i**3 - i**3 + i**3).\nAnswer: 8*i**5 - 11*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 133\/780 and -53\/150.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 869461558 to the power of 1\/2, to the nearest integer?\nAnswer: 29487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from umumubmubuubbmummm. What is prob of picking 2 u?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -1. Let d(a) = -2*a - 9. Let s(u) = d(u) - 4*q(u). What are the prime factors of s(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-4)\/(d\/(d**(-1\/6)\/d*d)) assuming d is positive.\nAnswer: d**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -89*d**2 + 3 + 7 + 92*d**2.\nAnswer: 3*d**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the second derivative of -13*k - 1\/6*k**3 + 0*k**2 + 1\/4*k**4 + 0. Factor b(j).\nAnswer: j*(3*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 323140220 (base 5) in base 9?\nAnswer: 2533844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 286?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the second derivative of -12*m**2 - 11\/2*m**3 + 0 + 13*m. What is the derivative of t(j) wrt j?\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(162)\/sqrt(2))\/(2*sqrt(147) + sqrt(3)).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -18 in -1, 0.5, 1, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16 and 27760?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c - 4*t, -9*c + 2*t = -6*c. Solve -30*i + 5 = -25*i + 2*n, c = -5*i + n - 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 60 and (4 - 2)\/(10\/500).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 times -0.6?\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2.4 and -0.043563.\nAnswer: -0.1045512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 23713371 and 297?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: 837059, 837131, 837271, 837497, 837827?\nAnswer: 838279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (434\/(-1736))\/((-4)\/(-10))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b**2 + 39987*b - 159900 = 0 for b.\nAnswer: 4, 13325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 - 7. Calculate the lowest common multiple of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -453056, -453046, -453036?\n\"Answer: 10*r - 453066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14 - 19*p**2 - 14 + 20*p**2 - 14949*p**3 + 14968*p**3.\nAnswer: 19*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the second derivative of 11*f**4\/2 + 704*f. Let h(q) = 7*q. Calculate h(a(d)).\nAnswer: 462*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**2 - n - 5. Let p = 8 + -4. Let g be w(p). Suppose 7 = 3*h + l - 3, 2*h + 3*l - 9 = 0. Solve 4*u + 16 = -4*d, -h*u - 4*d + g*d = -6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(15\/2)*g**(6\/11)*g**(3\/8)*g**(-4) assuming g is positive.\nAnswer: g**(389\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(2\/9))**(-7\/6)\/(g**(-3))**4 assuming g is positive.\nAnswer: g**(317\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**6\/j*j*j**3)\/(j**0)**(6\/11) assuming j is positive.\nAnswer: j**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 + -4.3. Let i = 0 - o. Let a = 1.839 - 4.839. Put 1, i, a, -1\/3 in decreasing order.\nAnswer: 1, i, -1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 56\/(-3)*(444\/48 - 10).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4420754 minus 85350099?\nAnswer: -89770853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 6*d**2 + 4*d - 1. Let y(p) = 7*p**2 + 5*p. Let s(o) = -o**2 - 4*o + 4. Let i be s(-4). Let k(u) = i*y(u) - 5*r(u). Differentiate k(w) wrt w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*s + 16 + 2. Let l(a) = a**2 + 6*a - 7. Let o(z) = 6*z - 6. Let i(h) = s*o(h) + 3*l(h). Factor i(b).\nAnswer: 3*(b - 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -185\/1276704 and -71\/13299?\nAnswer: 1276704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-43 + 43 + 2*h)*(h**2 - h**2 - 3*h**2) + h**3 + h**2 - h**2 to q*h**2 + l*h + m*h**3 + a and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 17.1 - 13.1. Which is the fourth biggest value?  (a) 0.3  (b) -1  (c) 4\/5  (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 3*p = 40. What is the remainder when 79 is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/9 - 475\/(-225). Solve -3*s - x*m + 2 = 0, -s = -5*s + 5*m + 41 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1234183.\nAnswer: 17, 19, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:13 PM and 9:18 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o + 2, -90*h = -91*h + 4*o + 6530. What is the lowest common multiple of h and 6?\nAnswer: 19614","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -369*d + 4*d + 730. Factor -3\/7*l**d + 1\/7*l**4 - 8\/7*l + 2\/7*l**3 - 4\/7.\nAnswer: (l - 2)*(l + 1)**2*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a millennium in months?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 2684054, 2684064, 2684086, 2684126, 2684190, 2684284, 2684414, 2684586?\n\"Answer: z**3 + 3*z + 2684050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -388*p + 219*p + 420 = -197*p for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1b7b4 - -264?\nAnswer: 1ba28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*u + 11*u - 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 106119 is divided by 26469?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 4*a + 13. Let n = 6 - a. Let o = n - -15. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1100\/(-360) - -3)*(88 - 8)?\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -41942171 not equal to 1.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 102\/170 - ((-1081638)\/(-15))\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-40)\/2*(-26)\/104. Suppose 15 = -5*q + 4*b - 18, 10 = l*b. Put q, -8, 3 in ascending order.\nAnswer: -8, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2594926 and 109061?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2223 and 2223?\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i + 519520 = 24*i + 519460 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1, -922, 0.1, -2\/3, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - -3 - 15 - -3 - -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**3 + r. Suppose -3*f = -v - 4 + 6, -3*f - 17 = -4*v. Let d be g(f). Suppose 0 = -d*c + 5*y + 26, 0*c = 4*c + 4*y - 52. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (-42)\/(-147) + (-418)\/(-7) and 80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence va when two letters picked without replacement from vlyvuyyyuyyayvyyv?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 33, 4, -9, 3 in ascending order.\nAnswer: -9, 3, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pva when three letters picked without replacement from ufxxxapuvufvfxx?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x - 2*k + k + 35, -35 = -x - 2*k. Calculate the lowest common multiple of 5 and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**2 - 12*m + 4. Let j be v(-12). Suppose -2*h = -j*h - 20. Let q = 24 + h. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*m**3*z**2 + 1588194*m*z**2 + 2135718*z**2 wrt m?\nAnswer: 6*m**2*z**2 + 1588194*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s + 30 = -a + 45, 2*a = 5*s + 26 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the third derivative of m**5\/30 - 13*m**4\/24 - 8*m**3\/3 + 2660*m**2 - m. Let k(d) = -d**2 + 9*d + 11. Determine -7*k(o) - 5*r(o).\nAnswer: -3*o**2 + 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 399782 is divided by 133181?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -300 - 240 = -3*x. Suppose 140*w + x = 137*w. Which is greater: w or -61?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3118 + -1169. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, g: 2, y: 1}. Give prob of sequence yg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -4\/9, 5, -9, 1906, -0.3 in descending order.\nAnswer: 1906, 5, 3, -0.3, -4\/9, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-120411)\/(-7083) + 1 + 86?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the third derivative of z**5\/60 - z**4\/8 - z**3\/3 + 4*z**2. Let v be 1\/(1\/(-2)) - -22. Suppose -4 + v = 4*d. Determine l(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 2*a - 3*g - 2*g, -19 = -a + 3*g. Solve 0 = -5*m - a*m - 60 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 + 136\/(1 + 1). Suppose 2*j + 28 = -3*m + 6*j, 5*j = -m - 22. Let a = 29 + m. What is the highest common divisor of y and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**3 - 286*g**2 - 12529*g - 15. Calculate z(-232).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 14) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -9*(((-990)\/(-132))\/(-5))\/((-2)\/4)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2455, 4910, 7365?\nAnswer: 9820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 5 - 3 = -3*k, -4*k + 4*i = -5*i + 13*i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3117 less than -12062?\nAnswer: -8945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:12 AM and 1:35 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 53773, 216494, 487695, 867376?\n\"Answer: 54240*r**2 + r - 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -2\/221  (b) 11  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41970 = 41*h + 7694. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10000010 + -10?\nAnswer: -10000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5652961343 to the nearest integer?\nAnswer: 1781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(147) + (sqrt(147) - (0 + sqrt(147) + 4)))**2 + 1 + (sqrt(147)*1)**2)*-5.\nAnswer: -1555 + 280*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 - -6. Let b = 7.8 - g. What is the third biggest value in 2\/9, 1\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -21.9, 1, -0.2, -8, -483?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10495, 20995, 31505, 42031, 52579, 63155, 73765, 84415?\nAnswer: 95111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 64002725 a multiple of 413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 175, -3, -3\/8.\nAnswer: -3, -3\/8, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 21*o**2 + 134*o**2 + 108*o - 108*o. Let y(t) = 2*t. Give y(u(m)).\nAnswer: 310*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + (-6 - (0 - 7))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 396 - 32*q**2 + 394 - 793 + 38*q**2.\nAnswer: 6*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*x = -111*x + 6238004. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-16)\/h*(h*h\/(h*h**(2\/15)*h))\/h)\/(h**(3\/5)*h)**4 assuming h is positive.\nAnswer: h**(-368\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + -1. Suppose n - 3*n = x. Suppose 0 = -n*d - 2*d + 10. Solve 0 = 5*t - 5 - d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/(-12) - 2\/8. Let w = -369\/10 - -322\/5. Calculate the common denominator of w and 1\/((-28)\/(-29)) - x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, -4, -0.6, 2\/15, 6, -2\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*p - 24*r - 306, -11*p = 2*r - 3605 + 3653 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u - 4*c - 10, -3*u + 5*c - 2 = 5. Suppose -u - 19 = -5*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -b**4 + b**4 + 4*b**4 - 11*b**4 + 12*b**4 - 56*b**4 + (-4 + 0 + 1)*(-5*b**4 + 3*b**4 + 3*b**4).\nAnswer: -54*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*s + 40*s + 3 = 0. Let q be ((-699)\/9 + s)\/((-3)\/9). What is the remainder when (q\/35)\/((-2)\/(-55)) is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -2*r - 5*o, -169*r + 167*r = -3*o + 5. Suppose -13*q + 8 = -11*q. Sort r, -21, q in descending order.\nAnswer: r, q, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1213622626.\nAnswer: 2, 43, 47, 211, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**3 + 10*p**2 - 14*p - 14. Let z be o(8). Solve z*r = -3*w - 25, -2*w + 2*r = r + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 5, k: 13}. What is prob of sequence kkk?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1303*v + 918*v**2 - 2602*v + 1299*v.\nAnswer: 918*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 = 5*c + 5*p - 31, 38 = 3*c - p. Suppose o - 9 = -c. Suppose -5*u + 9 = -4*x, 2*u - 2*x = 3 - 1. Sort u, 12, o in increasing order.\nAnswer: o, u, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(2) + sqrt(10)\/(sqrt(5) + sqrt(20)\/sqrt(4)) + sqrt(14)\/(sqrt(7)*-1)))**2 + 4.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -12  (b) -17\/28  (c) 0.07  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*v + 10*v - 5 = 22*v + h + 7, -h = -0*h + 10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 26868*c + 564266. What is u(-21)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2236*x**5 + 120*x**4 - 9391550*x**2?\nAnswer: 134160*x**2 + 2880*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-119 - -114) + (3 - -22) + -2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t + 6. Let y be j(5). Is 47 a factor of (y - -572) + 26\/(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*d = -d - 31692736. Suppose -650796 = 14*l - d. Round l to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -4*v + 36, -6450*v + 6455*v - 40 = -5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 15) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*o = -26*o - 270. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -81 - -84. Suppose 3*l = -z + 3*z - 15, 3*z = -5*l - 25. Suppose z = -3*h + r*b - 6, -3*b = 7 + 8. Is -7 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 1 w when three letters picked without replacement from {w: 2, x: 9}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -184387576 and -313?\nAnswer: 184387263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3253 + -2470. What are the prime factors of c?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-8)*s\/s**(-3\/8)*s*s*s*s)\/(s\/((s\/(s*s**0))\/s))**(10\/11) assuming s is positive.\nAnswer: s**(-391\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - 95?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20122 + 210012020?\nAnswer: 202221121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -790382897 to the nearest 10000.\nAnswer: -790380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 9 = -5*m, -3*m - 4*j + 0*j + 12 = 0. Let q(t) = t**3 - 4*t**2 - 4*t - 1. Let k be q(5). Solve -4*h = -2*s, k*h - s + 5 - 1 = m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12046 is divided by 171.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*y - 4*y = -2*y. Solve y = 2*o + 19 - 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6.418 - 0.182. Let h = -30379519 + 30379512.4000058. Let y = p - h. What is y rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 - -212000110202?\nAnswer: 212000110220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1399847378 - -3\nAnswer: 1399847381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 51.44889 + -129510.\nAnswer: -129458.55111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 67, 236, 507, 880, 1355, 1932, 2611?\nAnswer: 3392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 401435 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 544 a factor of 20983986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(65)*-1*-3*3)\/(((sqrt(720) - sqrt(5)) + sqrt(5))*-2) + -4.\nAnswer: -7 - 3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 2\/629?\nAnswer: 2\/629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = u + 8. Suppose -4*k = 2*p + 720, k - 4*k = p + 539. Let v = -175 - k. Solve u*m - b = -6*b - 21, -v*m = -b - 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -125.603842 to the nearest integer.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1055 is divided by 99?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**3\/3 + 10*s**2.\nAnswer: s**2*(s + 30)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 + 248*v**2 + 5850*v - 1984. What is w(-22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*a**3 - 8*a**3 - 2*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -30*q**2 - 31*q**2 + 67 - 17 + 63*q**2 to j*q + c*q**2 + p and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxxxxffxxfx?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(100)*3)\/sqrt(2).\nAnswer: 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 25422 and 31675182370?\nAnswer: 31675156948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -166 + 165. Which is the closest to -4?  (a) 0.3  (b) -0.5  (c) g  (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 57\/5 of a centimeter?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 88 + -45. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 16 + -6. Calculate the remainder when 39 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -30 - -31. Suppose 4*i - 5*r - x = 0, -6*i = -i - 4*r + 1. Put 22, i, 16 in ascending order.\nAnswer: i, 16, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4168 or 3317?\nAnswer: 3317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9 and 46998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11700 = -4*k + 3*k. Round k to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 88989, 711894, 2402647, 5695176, 11123409, 19221274, 30522699?\n\"Answer: 88988*u**3 - 4*u**2 + u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f = 3*n - 11 - 9, 0 = 2*f - 3*n + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 864.137 nanograms in kilograms?\nAnswer: 0.000000000864137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -60642017 or -60642018?\nAnswer: -60642018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + -3110032323?\nAnswer: -3110032324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*m**3 - 1270*m**2 - 164195*m - 3720620 = 0. What is m?\nAnswer: -68, -31, 353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20*(122\/(-976))\/(1*(-1)\/4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.35 - -0.67. Let p = -0.4 - -0.52. Let r = s - p. Which is the closest to 0?  (a) 2  (b) -0.3  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 945 and 3314871?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 2\/5, -4, 24.41, -1\/2, 58?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1*(0 + -1)*-1)\/((-327)\/66708). What is the greatest common divisor of y and 1581?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -2*s**2 + 4*s - 6. Let q be z(4). Let v = q + 42. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50412*l = 50408*l - 4*c - 32, -60 = 5*l - 5*c for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 269 + -329. Let o be ((-24)\/54)\/(8\/d). Solve 0 - 5\/3*g**3 + 0*g - o*g**2 = 0 for g.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17236845 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a + 111*a = -864 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -2*w - 9. Let a be y(-9). Let j = a + -7. Suppose 0*p - 4 = -p + j*g, -2*p - g - 7 = 0. Is p > -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the second derivative of 13\/6*g**3 - 2 - 5*g**2 - 23*g - 1\/12*g**4. Give c(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.1279 greater than or equal to -108779?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - (-4 - -12 - 4)) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/(-6)*(-20)\/100.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 5*d**4 + 315*d**3 + 5010*d**2 + 25700*d + 21000 = 0.\nAnswer: -42, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 6688309 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 52, 4, 36910 in ascending order.\nAnswer: -1, 4, 52, 36910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 - 4\/3)*-6. Let y be 18\/(-4) - 1\/(-2). Let o = 6 + y. Solve o*a = -0*a - c*g - 2, 0 = -5*a + 2*g - 19 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000985668 rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5801, 2\/11275, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 5*j = -m + 21, 3*j - 7 = -4*m. Suppose -2*c - 7 = -0*o - 3*o, 3*o - 3*c - 12 = 0. Which is bigger: m or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the third derivative of -i**7\/12600 + i**5\/600 + 121*i**4\/24 - 142*i**2. Let u(v) be the second derivative of d(v). Factor u(l).\nAnswer: -(l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0*2\/4 - (-2)\/(-5). Which is the closest to -2\/3?  (a) o  (b) 0.3  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-136*5\/110)\/(28\/154)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 124*b**4 - 97 wrt b.\nAnswer: 496*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 13 = -2*j + 2*z, z - 15 = -3*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**2 - 4*h + 4. Let i(m) = 14*m + 114. Let l be i(-8). Suppose -2*w - 3*w = -2*q - 8, 0 = l*q + 2*w - 20. Give v(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.3, 2\/5, -7872, 0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -5*s + 1 + 2*s - 3*s + 5*s. Let c(k) = -k**2 + 6*k - 6. Let v(a) = -a**3 - 20*a**2 + 20*a - 22. Let x be v(-21). Give x*c(g) - 6*l(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 39585906 rounded to the nearest one hundred thousand?\nAnswer: 39600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1385672570*w**2 - 1363419878*w.\nAnswer: 2771345140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wippppjq. What is prob of picking 1 w and 1 q?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**3 + 27*x**2 + 1074*x - 3601. Calculate z(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -85618  (b) 0.4  (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -109 - -108.9506. Let t = -0.049399 - n. Round t to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) 0.007  (b) 4  (c) -55509\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 78 = -y + 5*d, 5*d + 32 = y. Let t(b) = 2*b**2 + 11*b - 22. What is the remainder when t(5) is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48 = 5*j + 102*d - 99*d, 2*j - 28 = -0*j - 10*d for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 x when two letters picked without replacement from ubxuuuurb?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4301 + 4301. Let f be 4 - (-1 + 9\/3). Is -5 - (w\/f + -211) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 126212237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 5*c + 143 = 0, 5*y + 145 = -3*c - 80. Let r = y + 32. Let t be ((-2)\/(-20) - 4\/r)*0. Solve t = -4*u - u - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -106 + 113. Solve -4*k + 5*p + h = 0, 4*k = -2*p + 9 + 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8 in -0.4, 22, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43181 is divided by 8627?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*d**2 - 9*d**2 + 4*d**2 + 10*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 - 4. Suppose -3*g - 4 = -q + 2*g, 3*q - 63 = -2*g. Suppose q - w = 3*i. Calculate the smallest common multiple of i and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = -4*x - 20, 5*g + 4*x - 15 = 0. Suppose u - 14 = z, 5*z - g = 3. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 59*x**2 + x + 1. What is the tens digit of z(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -292*z**2 - 167 + 76 + 82 + 25*z**2.\nAnswer: -267*z**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g**4 + 204*g**3 - 3360*g**2 + 22784*g - 55296 = 0. Calculate g.\nAnswer: 8, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6005752.3189757 + 6005752. Let i = -22.019 + 21.7. Let m = h - i. Round m to 6 decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-254)\/(-381))\/((-1)\/(-1365)). Calculate the greatest common factor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3132963)\/94869 + (-2)\/(-83)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 546394214 to the nearest integer?\nAnswer: 23375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 917774014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 2, c: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -49, -221, -517, -943, -1505, -2209, -3061?\n\"Answer: -f**3 - 56*f**2 + 3*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -618*o**2 - 8*o - 3. Let k(h) = -2473*h**2 - 29*h - 11. Calculate -3*k(d) + 11*q(d).\nAnswer: 621*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 4*o - 4*i - 1498, 2*i + 744 = 2*o. Let w = o - 323. Is 27 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 85837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 10?  (a) -2  (b) 4  (c) -51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*n + 3*n - 2*n)*(17*n - 259 + 260 + 32*n) as y + g*n**2 + i*n and give g.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 11, n: 2}. What is prob of sequence xxx?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from {j: 2, y: 17}.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1687506721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = 3*w + 2. Let h be (w - (1 - -1))\/(-8 - -1). Let l = 0.02 - 0.22. Sort h, l, 5 in increasing order.\nAnswer: l, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -8396  (b) 5\/2  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 - 10101100110100?\nAnswer: -10101100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 5*s - 2*c - 11, 0 = -4*s + 4*c + 28. Let i(g) = s*g - 3*g - 5*g + 3*g - 5. Is i(-4) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5 - 662*s + 650*s - 3 + (0*s - s - s)*(3 - 2 + 1).\nAnswer: -16*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -117326 or 31?\nAnswer: -117326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/5 and (-16)\/(3 - -1) + 266\/20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 178.0524 years to months.\nAnswer: 2136.6288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 332\/14 - (-10)\/35. Let f = -11 + p. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 103111471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13004400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -262 or -263?\nAnswer: -262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 less than 70545?\nAnswer: 70545.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 8*t - 4. Let w be z(1). Solve 2*k + 1 = l - 5, -w*k = l + 18 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/652)\/(2482\/(-9928))?\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 - -5. Calculate the remainder when -1*3\/(-6)*2 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 223 - 33. Suppose -5*z + 97 = 47. Calculate the highest common divisor of x and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the first derivative of -a**3\/3 - 4*a**2 - 4*a - 145. Let q(i) = 2*i**2 + 16*i + 9. What is -5*n(o) - 2*q(o)?\nAnswer: o**2 + 8*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 821 a factor of 891606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/5)\/((-33)\/(825\/4))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -2*t**2 + 10*t - 1. Let b be i(5). Let s be (-2)\/((-15)\/(-10) + b). Let l(g) = -g**2 - 9*g - 18. What is the units digit of l(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjjjmtjj. Give prob of picking 1 t and 1 m.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 799*m**2 + 25*m - 75. Let g be s(3). Let x = -2362 + g. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.7548 - -1.84009. What is w rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i + 5*r + 17 + 6 = 0, -r - 2 = -3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((5 + -2*sqrt(108) + 5)**2 + (sqrt(108) + 5*(1 + sqrt(108))**2)*-5)*5*-2.\nAnswer: 22800*sqrt(3) + 87720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 876 a factor of 26573607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w + 5*x = 30 - 8, 4*w - 8 = 2*x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 45484 a multiple of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 11157021 a multiple of 512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -27, 2, -11 in ascending order.\nAnswer: -27, -11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 - (11 - (6 + -5 + 6))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**17*w*w)\/(w*w**(6\/17)))\/(w*w**1*w*w\/(w\/(w*w*(w\/(w\/w**(-8))*w)\/w)*w)) assuming w is positive.\nAnswer: w**(368\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -4*p**2 - 39*p + 12. Let i be k(-10). Suppose i*t - 3*t - 5*w + 691 = 0, -2*w = 2*t - 1390. Is 24 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -162 (base 9) to base 12\nAnswer: -b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8*g**2 - 8*g**2 + 7*g**2)*(-2 + 2 + 2*g)*(1192*g + 1 - 611*g - 204*g) to s*g**3 + r*g**2 + n*g + l*g**4 + o and give l.\nAnswer: -6786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 3*l**3 + l. Let q be r(1). Let n be (q\/(-6))\/(1\/(-3)). Solve n*h - 4*c + 6 = 0, -4*h + 24 = -0*c + 4*c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*g - 22 = -38*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001351478 rounded to 6 decimal places?\nAnswer: -0.000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(-1 + (-9)\/(-12)). Let o = s + -7. Solve -g = -0*g + o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:10 PM and 4:49 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.65 + 94.65. Let m = v + -90.3. Let j = 3.6999955 - m. Round j to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -4\/639 and -8\/468671.\nAnswer: 4218039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3005*h**2 + 3302?\nAnswer: -6010*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3561328747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 79 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 242 and 82016.\nAnswer: 902176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 417534 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 17, p: 2}. Give prob of sequence cc.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 10849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(19) + -1 + sqrt(19))*2)**2 + (-2*sqrt(76))\/sqrt(4).\nAnswer: -18*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9844 is divided by 9692.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x - 12 + 2. Let w = 39\/77 - 4\/11. Let t = w - -4\/21. Which is the third smallest value?  (a) t  (b) 2\/3  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 103066037?\nAnswer: 103066037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 3*t**3 - 5*t**2 - 7*t + 7. Let y(f) = 8*f**3 - 14*f**2 - 20*f + 20. Suppose -2*d - 32 = -6*d. Let z = d + -13. Calculate z*y(i) + 14*l(i).\nAnswer: 2*i**3 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 65263, 66789, 69337, 72913, 77523, 83173?\nAnswer: 89869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j - 3*j + j + (4 + 0 + 0)*(-3*j + 0 + 0) + 2*j - 2*j + 2*j)*(1 + 1 + 2).\nAnswer: -48*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*f**2 + 8 - 4 + 7*f**2)*(2 - 1 - 2).\nAnswer: 3*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 123533?\nAnswer: 23, 41, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 30 - 28. Let k = -2 + x. Put -0.8, k, 2\/7 in increasing order.\nAnswer: -0.8, k, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 23100542 (base 6) to base 7\nAnswer: 6005423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1, 3, 5, 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v + r - 3 = 0, -2 = 18318*v - 18318*v + r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 455271941 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*x**2 - 2*x**2 - x**2)*(-4*x - 3*x + 4*x + (x - 2*x + 3*x)*(0 + 0 - 2)).\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 16373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 8\/(-108) + (-1140)\/(-81). What is the greatest common factor of 1694 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/24 - 2*17\/(-12). Suppose 0 = 4*l - v - 642, v = y*l + 2*v - 478. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:13 AM and 10:44 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(-8\/9)\/r*r**11*r*r)\/(r**3\/r*r*r**(-8\/7)) assuming r is positive.\nAnswer: r**(646\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 340\/8*8\/(-90) - 4\/18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -698 - 2*g**3 + 693 + 5*g**3 + 2*g in the form l*g**3 + a + m*g**2 + j*g and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**2 + 3*l + 1. Let r(o) = -2 + 16*o**2 - 5*o - 14*o**2 - o**2. Determine 3*r(v) + 5*u(v).\nAnswer: -2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 14 = -3*n, -5*n + u - 337 = -330. Solve 5*p - 5*z + 10 = n, -2*p - 3*p - 16 = -2*z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from udaadaafudauuuu. Give prob of picking 3 u.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5*d*l**3*p + 410*d*l**3 + l**3 - 3*l**2*p - 197*l*p + 1 wrt d?\nAnswer: 5*l**3*p + 410*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -258.3082 to 0 decimal places.\nAnswer: -258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 9, m: 10}. What is prob of sequence memm?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2.3, 58, -8\/7, 23, 0.5?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 809778636 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000010001111011100000 - -1?\nAnswer: 1000010001111011100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**3 + 2*w**2 - 14*w + 96. Determine x(-9).\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 2*l**3 - 2*l**2 - 2*l + 1. Let h = -785 + 830. Suppose -40*r - 25 = -h*r, -5*r = s - 28. Give k(s).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 8) to base 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 5*(sqrt(12)\/sqrt(6))**2 + sqrt(2).\nAnswer: sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n - 2*n + 2*n)*((1 + 1 - 1)*(0*n + n - 3*n) + (2 - 2 + 1)*(-n - 4 + 4)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 13) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -343 divided by -17.\nAnswer: 343\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-6132)\/(-8) - 7)*(-18 + 16). Is -1520 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -179 - -187. Suppose -4*p - 12 = k. Let w(c) = -c**3 - 4*c**2 + 6*c - 4. Give w(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 230398 is divided by 228016.\nAnswer: 2382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 43913237\/10 or 4391325?\nAnswer: 43913237\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (-6 + (8 - 5) - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1229\/(-16) + 8\/(-4). Let g = j + 76. What is the common denominator of g and -17\/22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(240)\/(sqrt(8) + (sqrt(72)*1)\/sqrt(9)))\/(sqrt(240)\/sqrt(40)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 898297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -11984, -23933, -35888, -47849, -59816, -71789?\n\"Answer: -3*g**2 - 11940*g - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 965.1, 0.2, 0.3 in increasing order.\nAnswer: 0.2, 0.3, 965.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 - 10100111?\nAnswer: -10101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -290 + 290 - 4*o**3 + 2*o + 57*o**2 + 3*o**3 in the form s + t*o + g*o**2 + z*o**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 33323 and 69991771?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 118.118 - 115.2. Let v = -0.418 + t. Put -2\/11, v, -8 in increasing order.\nAnswer: -8, -2\/11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.03, 0.4, 6 in ascending order.\nAnswer: 0.03, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -42 divided by 12?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o + 2*u + 3, 3*u + 22 = o. Suppose 2*f + 250 = o*f. Suppose 0 = 5*p - 45 - f. What is the remainder when p is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.5 * -749.\nAnswer: -1123.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in g + 6*g - 5*g - g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 97458 is divided by 833?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 544479 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: b\"What is the xth term of -6, -16, -32, -54, -82, -116?\n\"Answer: -3*x**2 - x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 51509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - k + p + 1 = 0, 4*k = 5*p + 41. Suppose k*d = 23*d - 5282. Round d to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -211 - -2212020?\nAnswer: 2211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*o + 14*o = -20. Let i be (o\/6)\/((-4)\/60). Let l be i\/(-15)*(17 - 2). Sort l, -4, 1\/6 in ascending order.\nAnswer: l, -4, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the second derivative of 3*r**5\/10 - 169*r**4\/12 - r**3\/6 - 1680*r**2 - 3576*r - 2. What is the second derivative of g(h) wrt h?\nAnswer: 36*h - 338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27322 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 337889.9 millilitres to litres.\nAnswer: 337.8899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*r + 79 + 389. Calculate the remainder when r is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 5*d - 5 = 0, 0 = 5*u + 3*d - 10. Let b(a) be the second derivative of a**3\/6 + a. Give b(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1067 by -11.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 20125066 to the power of 1\/2, to the nearest integer?\nAnswer: 4486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -42 + 5 + 14*k**2 + 30 - 2*k as t*k + q*k**2 + w and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 28\/(-490)*(-20)\/(-5 + 1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6)\/(-5)*5\/(-6)*-2. Let j(h) = -6 + 2 + h**a - 7*h**2 + 7*h**2. What is j(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**3 + 93*r**2 + 881*r + 3772. Determine f(102).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 13.1342*0.1\nAnswer: 1.31342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -246*k + 11890. What is the lowest common multiple of 14 and u(37)?\nAnswer: 19516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 17*v + 178. Let k(n) = 18*n + 213. Determine -7*i(y) + 6*k(y).\nAnswer: -11*y + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -14*s. Let b(w) = w + 898. Give g(b(u)).\nAnswer: -14*u - 12572","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 244321 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -43 + 41. Let k = 89 - 46. Let d = -45 + k. What is the nearest to d in 3, 0, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1*2*(-10)\/180*-18. Sort l, 3, -306 in decreasing order.\nAnswer: 3, l, -306","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 4*j**3\/5 + 4*j**2\/5 - 132*j\/5 + 252\/5 = 0.\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -320\/13 - -2266\/91. What is the nearest to g in 0.4, 3\/7, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7\/29 + 47\/435. Sort -1\/16, -1, g in ascending order.\nAnswer: -1, g, -1\/16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 978990*h**3 + 292926.\nAnswer: 2936970*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 13*-68.6\nAnswer: -891.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21, 76, 177, 330, 541, 816?\nAnswer: 1161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u = 3*m - 4072 + 4084, -u - 2*m = 11 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence np when two letters picked without replacement from {n: 1, p: 7, q: 1}?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -51 - 29. Let s = l - -78.9. Let x(t) = t + 3. Let h be x(-5). Which is the third biggest value?  (a) 1  (b) s  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-2) - (10\/4 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.698793 millennia to decades.\nAnswer: 369.8793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (-2 - -5 - (-25 - -4)) + (66 - 65)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*v - 24*v - 3*v + 108*v - 28*v - 23*v - 11*v**2.\nAnswer: -11*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -2\/35  (b) 2\/15  (c) 0.03  (d) 0.4  (e) 2  (f) -83.2  (g) 18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 151.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 13, 1, 2, 65?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**2 + 7*l - 2. What is w(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the third derivative of a**7\/945 - a**6\/135 + a**5\/90 + a**4\/27 - 4*a**3\/27 - 8*a**2. Find h, given that f(h) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 6 = -0*z. Let b be (4\/z)\/((-20)\/(-270)). Calculate the lowest common multiple of 8 and 7*7\/(49\/b).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 11*x + 2. Let f = 8 + -6. Is r(f) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.5 and -0.191.\nAnswer: 0.2865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -27913672*d. Let j(o) = -6*o**2. What is r(j(f))?\nAnswer: 167482032*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 46.95 - 13.2. Let t = n - 33. Let q = t - 0.44. What is q rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -25 - -135. Suppose -105 = -3*f + 3*n, f - 2*n + j = 5*f. Is 30 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.55 - -1.01. Let s = 64.44 + m. Let l = -67 + s. Which is the biggest value?  (a) 0.4  (b) -0.5  (c) 4  (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/336*50 - (-10)\/(-40) and -52\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-7)\/(3\/(-6)*2). Let v(h) = -h**3 - 6*h**2 + 7. Let n be v(-6). Suppose -n + 1 = -2*q. Solve 0 = -q*y + 2*o + 16, 0*y = -y + o + d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -141 - -146. Solve f = 2*g + 13 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:22 PM and 11:13 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -30 - -72. Suppose -12*g - 33 + 165 = 0. What is the remainder when a is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 - 0)*22\/(-88). Solve k = -3*t + 7 - 19 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes before 7:03 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3010 is divided by 58.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 37966 - 37966.1. Which is the closest to u?  (a) 1\/4  (b) -1  (c) -1\/489\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/63 and 109\/3094470?\nAnswer: 21661290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 108*o**2 - 2263*o - 23. Determine m(21).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(10)\/sqrt(5))**2 + -5 - -4*sqrt(20)\/sqrt(10)).\nAnswer: -2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 27 = 171. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 2*x - 2, 4*j - 8 = x - 0*x. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -121*h**3 - 3*h**2 - 7*h - 20. Is c(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a factor of 809673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (322\/(-4) - 4)*(-7 - -5). What is the greatest common factor of g and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 436.6 * -0.752.\nAnswer: -328.3232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from smtmstmmtststtt?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together 18 and -7571547.1.\nAnswer: -7571529.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26\/1*-8*(-19)\/(-152).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1035 is divided by 74.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -4*l - 113. What is t(-28)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15*n**4 - 3*n**2 + 3*n**2)*(-14726 - 277*n + 14726).\nAnswer: 4155*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -46 + 51. Suppose 8 = -4*h - 8, 0 = 2*i + 4*h - 22. Solve g + 2*d = 9, -r*g - 2*d + 5*d = -i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/372286 and -133\/1164.\nAnswer: 2233716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*a, 4*i - 5*a = -a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 + -5. Let g be 19\/(-4) - o\/8. Is (-2)\/((10\/4)\/g) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -74885*w**2 - 75645.\nAnswer: -149770*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 14\/12)*(-42)\/105.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*a**2 + 2*a**2 + 3*a**2 + 8*a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.7 in 0.766, -11, -3?\nAnswer: 0.766","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (48\/132)\/(18\/33)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -89 + -61. Let r = -148 - v. Solve 3*i - 2*u + 19 = 0, -2*i + 0*u + r*u = 16 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes after 4:37 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (12\/32)\/((-27)\/(-48)). Which is the third biggest value?  (a) 6\/35  (b) 0.1  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 264139066 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 886.4225 decades?\nAnswer: 106370.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 12 = 3*q, 2*w + 4*q = 14. Let r = w + 9. Solve 0 = f + 2*z, z + 4*z = r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from srjjspsvvxpxxpx. What is prob of picking 2 s and 1 x?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2550408 and 45220?\nAnswer: 12752040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 0.03, -4, 548 in descending order.\nAnswer: 548, 0.03, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20)\/16*108\/(-81).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-26)\/6*(-1*(9 - 3) + 9).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*u**5 + 5*u**4 + 30*u**3 - 10*u**2 - 15*u + 5 = 0. What is u?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + -5 - -9 - (-8 + 6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 13*p - 22*p + 27 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 778 + 24?\nAnswer: 7a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4199 - 3959. What is the remainder when 730 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -13 in -0.02, -133, -2\/19, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-12)\/(-8))\/(6\/8). Suppose -z + d*z = -51. List the prime factors of (-1)\/2 - z\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5864 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 98 a factor of 768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the second derivative of -13*m**4\/66 - m**3\/3 + 2*m**2\/11 + 50*m. Factor x(l).\nAnswer: -2*(l + 1)*(13*l - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 3*r + 12. Let p be -2 + ((-3)\/r)\/1. Which is the third biggest value?  (a) 5  (b) -4  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28197279.\nAnswer: 3, 11, 271, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 16 = -5*k, 38*i - 39*i - 12 = -2*k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 19*a - 4. Let o = -10778 + 10783. Let f(t) = -18*t + 5. What is o*n(d) + 4*f(d)?\nAnswer: 23*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -46 + -79 + (224 - 85)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, 2, 0.19, 1\/6, 1\/54?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*p - 6*p + 9*p. Suppose -5*v - z = -5577598 - 26422403, -4*v - 4*z + 25600004 = p. What is v rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 262, 524, 778, 1018, 1238?\nAnswer: 1432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -546*r + 187*r + 33*r to the form i*r + q and give i.\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - b + 60142 = -42746, -f = -3*b - 102892. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.98 + 2. Let l = 10 - 10.49. Let u = -0.01 + l. Put -2, z, u in decreasing order.\nAnswer: z, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1\/2))**(-1\/34)\/(h**(-4)*h\/(h\/h**3))*(((h*((h*h**(-2)*h)\/h)\/h*h)\/h*h)\/h**(-1))\/(h**1)**(1\/19) assuming h is positive.\nAnswer: h**(2535\/1292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -119 - -118.6. Suppose -u - 3*g = -4*u - 15, 11 = -5*u - 2*g. Which is the nearest to 0.2?  (a) 0  (b) u  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes after 8:05 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:42 PM and 2:53 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 1 + (sqrt(114)\/sqrt(6))**2 + -4 + 0 + 1 + sqrt(19).\nAnswer: sqrt(19) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2631, -2615, -2629, -2685, -2795, -2971, -3225, -3569?\nAnswer: -4015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -46612.64 rounded to the nearest one thousand?\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1020, -1036, -1052, -1068, -1084, -1100?\n\"Answer: -16*k - 1004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2694548.\nAnswer: 2, 673637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 577 is divided by 98.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**2 + 67*u - 843. Let n(k) = 10*k. Calculate q(n(y)).\nAnswer: 100*y**2 + 670*y - 843","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -415991, -832158, -1248327, -1664498, -2080671, -2496846, -2913023?\nAnswer: -3329202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 0*i**2 + 6 - 2*i**2 + (-4*i + 2*i + 0*i)*(1 - 1 + i) + i**2 + 0 + 0.\nAnswer: -3*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 24\/12 + 24\/(-10). Let c = -2.1 + 2.13. Is j < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*u**2 + 67*u**2 - 8*u**2 + u**2 + 2*u - 2*u + (3*u + 3*u - 4*u)*(2*u - 2*u + 2*u) + 3 - 3 - 2*u**2 + 5*u**2 - u**2 - 2*u**2.\nAnswer: 57*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 95 + -1047\/11. Which is the second biggest value?  (a) 11  (b) 0.6  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 79 - 77. Suppose 4*z = -m*d + d + 17, -2*z = 2*d - 16. Suppose -114 = -d*p + 2*p. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1*8)\/1 + 0. Suppose -5*t = -r - 2. Suppose 4*n = -3*b + 82, -2*n + 32 = 2*b - 20. What is the highest common factor of t and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1467 - -2?\nAnswer: -1465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 - -0.1. Let w = -237\/5 + 47. What is the nearest to 6 in w, g, -2\/17?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -88.59 plus -7.67101?\nAnswer: -96.26101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 5192238 + -0.0472\nAnswer: 5192237.9528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2789 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 424 and 45421?\nAnswer: 363368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**2 - 8*c + 4. Suppose -6*d + t + 33 = -2*d, -5*d = t - 39. Let x be u(d). Suppose -4*v + 3*f + 9 = 0, -5*v = 4*f + x + 8. Is v at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 2*n**3 + 19*n**2 - 6*n + 13. Let p be g(-10). Let b be ((-8)\/(-3))\/(-4 + (-114)\/p). What is the greatest common factor of 384 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lbbblbzzb. What is prob of sequence ll?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 12) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.00875267474 and 51.41.\nAnswer: 51.40124732526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 91*i - 94*i = -951. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 + 2 = -3*g. Suppose -23 + 3 = -5*f. What is the lowest common multiple of (f + 2)*(-12)\/g and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 56 and 1029812.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*d**4 + 122*d**3 + 3532*d**2?\nAnswer: 168*d + 732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2003 plus -569865891.4?\nAnswer: -569867894.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of -3.6 and -2492.\nAnswer: -2495.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q - 2*q + 0*q)*(q - 7*q + 2*q)*(1 + 6 - 2)*(9 + 7 - 18).\nAnswer: -40*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-2)\/4)\/(4\/(-32))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -969049*-0.1\nAnswer: 96904.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 154479908 and 1419?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-2 - -1)*-20)\/1. Suppose -2*w = 2*v - 3*w, 5*w = n. Suppose -x - 5*l - 69 = 911, -2012 = v*x - 3*l. What is x rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5.2 + -5. Let o be 2\/8 + (-76)\/48. Which is the smallest value?  (a) v  (b) o  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/23559442 and -169\/180.\nAnswer: 2120349780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m - m - 3*s + 180, -3*s = 2*m - 90. Calculate the remainder when m is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 261 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1968560 + -3405608907\/1730. What is the common denominator of c and 59\/8?\nAnswer: 6920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, c: 7, n: 2}. Give prob of sequence scc.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**3 - 19*a - 72. Calculate n(-5).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 3, w: 4, q: 4}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 4*f**2 - 25*f - 41. Let h(b) = b**2 - 6*b - 10. Let y(p) = 9*h(p) - 2*v(p). Determine y(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -409*t + 10525. What is h(19)?\nAnswer: 2754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kbkkkkkbkbkkkkkkkkkk. What is prob of picking 3 b and 1 k?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, f: 1, a: 1, d: 1, k: 2, m: 2}. Give prob of picking 1 d and 1 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**3 + 8*g**2 + 274*g + 13. Calculate q(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4520 + -4?\nAnswer: -4524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 5916630 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 160596, 321105, 481516, 641823, 802020, 962101, 1122060?\nAnswer: 1281891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -4*(6\/2 - 216\/112). Which is smaller: n or -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 181421 + -24*3\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*m**3 - 23*m**3 - 71*m**3.\nAnswer: -82*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((h*h**0)\/h)**(-16)*(((h**(-2)*h*h)\/h)\/h)\/(h*h*((h**(-2\/7)*h*h)\/h)\/h*h))**(-2\/9))**(-27\/5) assuming h is positive.\nAnswer: h**(-198\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 223105.\nAnswer: 5, 44621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1824 and 570.\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -82420411, -82420412, -82420413, -82420414, -82420415?\nAnswer: -82420416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-72)\/2*6\/(-9). Suppose -3*a + 2*u + 27 - 3 = 0, -4*u - x = -3*a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -81*s - 2254. What is the least common multiple of c(-28) and 3408?\nAnswer: 23856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 850 - 865. Let d(a) = -a**3 - 15*a**2 - 8*a - 114. Let u be d(r). Solve 15 = -v - 3*m, 3*m = -5*v + u*m + 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1285753543?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z = 15 - 33. Solve 0 = -5*a - z + 23 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 448242*c**3*l*m - 4412*c**3*m + 277*c**3 with respect to l.\nAnswer: 448242*c**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 5997837 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 436523 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.1 and -13944488881985?\nAnswer: 13944488881985.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -17\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*c - 32*c + 138 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6 and 2474.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-56)\/21*(6\/(-8) + 0). Sort 1, a, 463.\nAnswer: 1, a, 463","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 6.3329904 milliseconds?\nAnswer: 0.0000000732985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 65 - -1?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -96*a + 1184. Calculate s(12).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes after 9:20 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 35589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2c1 (base 14) to base 8.\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -209 - 3?\nAnswer: -20c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 38*o**5*y**2 + 3*o**5 - 3*o**2 + 2*o*y - 23*y**2 - 2*y wrt o?\nAnswer: 760*o**3*y**2 + 60*o**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 5*z - 34 = 0, -v - 2*v + 5*z = 16. Find the second derivative of 2*x**4 - v*x - 7*x**2 + 7*x**2 wrt x.\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 - -6) + (-4 - (3 - 2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/11, -3, 0.29538?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the first derivative of -a**2\/2 + 10*a - 4. What is the remainder when 13 is divided by j(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1078*a + 576*a - 81046 for a.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2220791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*i + 22*i + 3*i**2 - 40*i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**3 - 7*r**2 + 7*r - 2. Let s(p) = p**3 - 8*p**2 + 8*p - 2. Let l(q) = -6*s(q) + 7*t(q). Let y be l(0). Let m = 2564\/7 - 368. Does y = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 729c65 (base 13) to base 10\nAnswer: 2678057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.0884403 and 1.\nAnswer: 1.0884403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the third derivative of m**4\/24 - 5*m**2. Let d(x) = 5*x. Calculate d(q(p)).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}