diff --git "a/data/dm_maths/full_data/1891_11255.jsonl" "b/data/dm_maths/full_data/1891_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1891_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is -93034.4862 - 0.3?\nAnswer: -93034.7862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-363)\/3 + 0\/(-11). Let a = u - -133. What is the least common multiple of a and 66?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 3*x**2 - x - 9*x**2. Let d = -29 + 46. Let n(g) = -2*g**2 + 17 - d. Determine a(n(u)).\nAnswer: -24*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2400 (base 7) to base 6\nAnswer: 4030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (21 + -8 - 1319)*(-1)\/2.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 84 = -412. Let b = z + 349. What are the prime factors of b?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14997, -14934, -14861, -14772, -14661, -14522?\n\"Answer: v**3 - v**2 + 59*v - 15056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-7)*1)\/((-1)\/7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 663\/(-884)*((-20)\/25)\/(-3*70\/125)?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18921858 is divided by 493.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/760, 13\/5, 1\/5?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37808227187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -38. Let s = 509\/160 - 121\/32. What is the closest to s in 1\/2, x, -3, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24703, 99042, 222941, 396400, 619419, 891998?\nAnswer: 1214137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21559 is divided by 7180.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 0*v**2 + 7\/5*v**5 + 0*v**4 + 12*v + 0*v**3 - 3. Differentiate r(x) wrt x.\nAnswer: 28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m**2 - 21*m**3 + 10*m**2 + 19*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 10534080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o + 157. Let v be j(0). Let y = -154 + v. Calculate the highest common divisor of 57 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 6857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - -15. Suppose -2*h + 6*h + z = 0. What are the prime factors of ((-3 - 0) + h)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(1 + -4 + 2). Suppose 0 = -n*w - 3*w + 6. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3093266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 5.98.\nAnswer: 9.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**4 + 39*x**3 + 3*x**2 - 39*x = 0. What is x?\nAnswer: -1, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 4:58 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3 = -9. Let t(v) = 2*v**2 + v. Let u = 178 - 96. What is the remainder when u is divided by t(g)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 72487145 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 = 18*o + 17 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 31*o**3 - 5*o**2 - 3*o + 37. Let x be (-9)\/(-2) + -18*(-4)\/48. Is w(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/6 and 43\/245483.\nAnswer: 1472898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 210 + -206. Let b(m) = m**3 - 7*m**2 + 5*m + 2. Let l be b(6). Let n be (-2)\/l - (-250)\/x. Calculate the greatest common divisor of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -10) + (3 + 1 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2866, -5725, -8578, -11425?\n\"Answer: 3*y**2 - 2868*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.25 - 7.92. What is q rounded to one decimal place?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0179 + -5.981\nAnswer: -5.9631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-0.097\nAnswer: -0.0097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 328129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 5, 1211, -20 in decreasing order.\nAnswer: 1211, 11, 5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 6*c - 6. Suppose -15*g + 4 = -14*g. Suppose -g*q = -2*q + 8. Determine y(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/274 and -77\/6?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**3 + 5*d**2 - 16*d - 33. Let a be x(-2). Solve -a*g - 95 = 16*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 {a: 9, c: 11}. Give prob of picking 2 a.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13501*m**2 + 622*m + 266*m + 6006*m**2 + 271*m - 6705*m**2 wrt m?\nAnswer: -28400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 27206.\nAnswer: 435296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5169 - -5171. Solve -8 = 111*b - 106*b - j*s, -5*b - 14 = 4*s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89 + -53. What is the smallest common multiple of z and (5 + -15 - -10) + 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70 - -67. What is the tens digit of 5 + -3 + p + 29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 22*w**2 + 87*w + 39. Let v be b(-17). Solve -v*y + 30 = 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/(-44)*-1*1\/4\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by 2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*q - 12 = 0, 3 = -g + 3*q - 4*q. Which is bigger: g or -4\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 41 = -4*a, -5*r - 13 = 2. Let f be (-6*8\/(-24))\/((-1)\/(-166)). Suppose -10*q - 2 = -f. Calculate the highest common factor of q and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -420066 + 623779. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4738 = -838*z + 735*z for z.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -1, 0.5.\nAnswer: -1, 1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-24))\/((-5)\/90).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 11 - (-7 + 3 + 8)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-15))\/((-18)\/(-15))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 61*t + 8*t**2 - 2 + t**3 - 55*t - 6. Calculate s(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 10 (c) -0.11 (d) 293.6 (e) 1\/2 (f) -4\/7 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 188028 or 188027?\nAnswer: 188027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 412 and 16297793.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1967883 + 3935744 + 27*l**2 + 9*l**2 - 1967861.\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -793167164 divided by -271261?\nAnswer: 2924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 0*q - 1\/240*q**5 + 2*q**2 + 1\/24*q**4 - 1\/6*q**3 + 0. Solve f(p) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - n - 5. Let i be s(0). Let a(d) = -1236*d + 4953. Let b be a(4). Sort b, -4, i, -2.\nAnswer: i, -4, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4717\/15 + 315. Let h = o + 13\/60. Let d = 147.5 - 147. What is the smallest value in -1, h, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -28.8 and -53.\nAnswer: -81.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = 5*t + g + 2461, 0 = 3*t + 2*g - 1843. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1020428635.\nAnswer: 5, 193, 269, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 18*h**3 + 69*h**2 + 87*h + 24. Let b(q) = -19*q**3 - 70*q**2 - 88*q - 24. Let i(f) = 3*b(f) + 4*p(f). Factor i(l).\nAnswer: 3*(l + 2)**2*(5*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7152, -28686, -64606, -114924, -179652, -258802?\nAnswer: -352386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*12\/(-9)*-6. Let y(z) = -z**2 - 8*z - 5. What is y(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/4 + 3\/7668. Let m = s + -2\/71. Is 1 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7303, 14944, 22925, 31246, 39907, 48908, 58249?\nAnswer: 67930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10006 and -0.2.\nAnswer: 10005.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -1 + 4 - 9 + f. Suppose -3 = -j + z + z, z = 5*j + 21. Let a(y) = -2*y + 9. Suppose 5*t = 10, -5*p = 2*t - 5*t + 46. What is j*a(m) + p*v(m)?\nAnswer: 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47729*a**5 - 20467*a wrt a?\nAnswer: -954580*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4460489?\nAnswer: 11, 405499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 225 - 20 = 0. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 6.555\nAnswer: 1.9665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161, -328, -499, -674, -853?\nAnswer: -1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19875, 39748, 59619, 79488, 99355, 119220, 139083?\nAnswer: 158944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/3)\/(24\/756). What is the common denominator of 35\/y*(-267)\/20 and 6 - (-2 - 1574\/(-156))?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -201, -409, -699, -1071?\nAnswer: -1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 4*z + 4, z - 6*z = k + 49. Let u = k - -34. Let a be (-2 + 9)*(-90)\/(-21). What is the highest common divisor of a and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + 0 + 0)*(-674*m + 732*m + 7 - 2) + (-1 - 2*m**2 + 1)*(-3*m**2 + 3*m**2 + 2*m**2) + 3*m**4 + 0*m**4 - m**4.\nAnswer: 56*m**4 + 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, c: 1, p: 9, m: 8}. What is prob of sequence qqc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -15*w**2 + 4*w + 4. Let r(o) = 75*o**2 - 21*o - 21. Let l(b) = 4*r(b) + 21*v(b). Let n(c) = c**2. What is l(z) + 6*n(z)?\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -226475136.\nAnswer: -1\/226475136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19290871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (42 - 42 + 53*k**2)*(3*k**2 - 7 + 7) in the form n*k**3 + s*k**2 + g*k**4 + l + i*k and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2057229 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2232 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 137 + -57. Let h = -84899 + 84909. What is the greatest common divisor of c and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o**2 - 4*o**2 + 2*o**2)*(-85772*o + 3*o**2 + 6*o**2 + 85776*o) in the form m*o + i*o**2 + g*o**4 + n*o**3 + x and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 20 + 9*h - 26 + 6. Let f(w) be the third derivative of 2*w**5\/15 - 17*w**2. Calculate t(f(k)).\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i + 14 = 20*i. Let y be 14\/(-10)*5\/(-3). Factor y*n**i + 2\/3 + 3*n.\nAnswer: (n + 1)*(7*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 202\/112549?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/117 in -5.92, 0.2, -2, 0.3, 6.9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) -0.4 (b) 4 (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 6*r - 75 = -r, 3*l = 5*r + 55. Let g(y) = 6*y - 2 + 2 - 4*y - 15. Determine g(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003745432 to 7 decimal places.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - i. Suppose 0 = -5*f - i*f - 55. Let a = 9 + f. What is the closest to -1 in a, 0.2, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 53.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**6\/180 + t**5\/90 - t**4\/18 - 5*t**2. Determine l so that m(l) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106414579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412587 is divided by 137154?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -117.825773066 - -0.3.\nAnswer: -117.525773066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*v - 119 + 16, z = -4*v - 231. Let n = v + 139. Let y be ((-12)\/(-10))\/(9\/240). Calculate the greatest common divisor of y and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l - 24. What is the lowest common multiple of 24 and n(9)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 - 97 = 27*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8726*v - 3 + 3 - 8729*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 801944 and 143?\nAnswer: 801944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 43662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138271814 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95\/36 + 37\/12. Let k = -157\/265 - 2\/265. Which is the third biggest value? (a) k (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 7*w - 3. Let g be (-46)\/(-8) + 2\/8. Let d be z(g). Solve 2*l + a + 4 = 0, -d*a + a - 12 = 5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 9\/2*a**2 - 79 + 95*a. What is the derivative of b(f) wrt f?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/10747911 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 47*h - 85. Sort h, 0.024, -4 in descending order.\nAnswer: h, 0.024, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/10 + 39\/5. Solve -4 = 4*d + w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 3*u - 2*u)*(5*u**2 + 8*u**2 - 6*u**2) + (2 - 1 - 2 + (-1 - 2 + 4)*(-3 + 1 + 3) - 5 - 1 + 7 + (-1 + 2 - 2)*(3 + 4 - 2))*(-3*u**3 + u**3 + u**3).\nAnswer: -52*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 297441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -2*b**7\/105 + b**3\/3 + 2*b**2. Find the first derivative of x(v) wrt v.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 77165*r - 56718040.\nAnswer: 5*(r - 16136)*(r + 703)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttttttxtttxx. Give prob of sequence xx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*b + 19 + 11 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**5\/3 + 676*d**4\/3 + 682*d**3\/3 - 452*d**2 = 0 for d.\nAnswer: -2, 0, 1, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*z = 0, 0 = 2*g + z - 4*z + 3. Solve 6*y - g*y - 12 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 22, 38, 52, 64?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*v + 216*v + 143*v = 2952 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 3\/5)*630\/(-56). Let y = 51\/10 + c. Let r = -3.84 - 0.16. What is the third smallest value in 0.2, r, 2\/5, y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 5*t**2 + 4*t - 4. Let n be (-3 - (-4 + 0))\/(10\/420). Suppose 3*k - l + 22 = 0, -5*l + 2*l + n = -5*k. Determine p(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 206704*i**3*p**2*z + i**3*z**2 - 3*i**2*p**2*z + 18*i*p**2 + 2*i*z + 997*p*z**2 wrt i.\nAnswer: 1240224*p**2*z + 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4\/19 + 13752*a**3\/19 + 23680908*a**2\/19 + 141714360*a\/19 + 212386050\/19 = 0.\nAnswer: -3435, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -117 - -122. Factor 2\/3*z**4 + 0*z + 0 + 2\/9*z**2 + 2\/9*z**g + 2\/3*z**3.\nAnswer: 2*z**2*(z + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 3. Suppose -66 = -3*r + d, k*r - 5*r = 2*d - 99. Solve 3*j = -4*t + r, 0 = -5*j - 2*t - 0*t + 21 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(sqrt(16)\/sqrt(8))*3)\/(sqrt(32) - (4*sqrt(288) + sqrt(288))\/sqrt(9)).\nAnswer: -3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111210201211 - 21?\nAnswer: -111210202002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418189 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - -15.1. Let n = q - 20.3. What is n rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2431b6 (base 13) in base 14?\nAnswer: -186ab9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a day in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 21. Let l(u) be the first derivative of k*u**2 + 0*u**5 + 0*u**4 + 0*u + 1\/6*u**6 + 1 + 1\/3*u**3. Find the third derivative of l(t) wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -4, 3, 0.11, -1\/5.\nAnswer: -4, -1\/5, 0.11, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/68723 + -1511665\/16562243. Find the common denominator of u and 38.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 62\/1853293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 4 - 14 - -55.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -38 in increasing order.\nAnswer: -38, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**12*k*k*k**(-15)*k*(k\/(k\/(k**(-5)\/k*k*k)))**(-18) assuming k is positive.\nAnswer: k**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -12, 0 = -4*y - u + 15 - 7. Let s = 6 + -1. Suppose -5*p - 10 = -5*a - 0*p, a - s*p - 6 = 0. What is the greatest common divisor of a and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8326530 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 12. Let y = -104 + 101. Is 2004\/(-18)*y\/g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 11*a - 8. Let r be m(10). Let b be 4\/1 + (0 - -2). Suppose -w - 1 = -b. Put r, 3, w in ascending order.\nAnswer: r, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.08 (b) -3 (c) 4\/5 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3507058 is divided by 2417.\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (37 - (24 - 8) - 28)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1314 and 5222493?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3 - 3*z**2 - 4*z**2 - 21*z**2 + 9*z + z**4 wrt z?\nAnswer: 12*z**2 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*m**2 + 4 - 8*m**2 - 4 + (-4*m**2 + 5*m**2 - 2*m**2)*(3 + 3 - 4) - 3*m**2 + m**2 - 4*m**2 to z + n*m**2 + c*m and give n.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 123.4?\nAnswer: 37.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 295, 294, 293, 292?\n\"Answer: -p + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.044 times -2.7212?\nAnswer: -0.1197328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*w**2 + w + 25*w**2 - 11*w**2.\nAnswer: -78*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**3\/3 + 3*r**2\/2 - 2*r - 7. Let i be n(2). Suppose -196 = -i*w + 84. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 224833024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + d**2 + 7*d + 1. Let n be j(0). Solve -n = y + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 352, 780, 1380, 2152?\nAnswer: 3096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -15*n - 2. Suppose 48 + 69 = 3*a. Let l(y) be the first derivative of 35*y**2 - a*y**2 - 5 - y + 24. Determine 7*l(f) - 4*t(f).\nAnswer: 4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2. Let c = -7 - -11. Let y(j) = 2*j**2 - j**2 - 2*j - c*j**2 + 0*j**2. Let p(s) = 2*s**2 + 3*s. Let l(d) = 2*p(d) + 3*y(d). Calculate i(l(f)).\nAnswer: 50*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 512 + -14332?\nAnswer: -13420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(2299) + sqrt(2299) + 0)*-5 + (0 + sqrt(2299))*-5.\nAnswer: -165*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27989.999993309 + 27990. Round v to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/615 and 1\/197700360.\nAnswer: 197700360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(1331) + 1 + (2 + -1*sqrt(704))**2.\nAnswer: -21*sqrt(11) + 707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 85271058.\nAnswer: 596897406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*r + 76 = 0, 0 = 2*r - 5 - 3. What is the greatest common factor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2892, -2896, -2902, -2910, -2920?\nAnswer: -2932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22983 and 808806?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i**5 - 15*i**4 + 185*i**3 - 265*i**2 + 135*i - 20 = 0. What is i?\nAnswer: -4, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*d - 5*b, 59*b - 16 = -8*d + 63*b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcic when four letters picked without replacement from cbfcicb?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 355064?\nAnswer: 5325960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, j: 2, w: 1, x: 2, z: 2, f: 1}. Give prob of sequence wxaz.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*9*(-43)\/(-387)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 133214 divided by -133214?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 4.2. Let a = 9.2 - r. Let s = a - 3. What is the second biggest value in -3, s, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2)\/p)\/p**(-1\/3))\/(p**(2\/19)*p*p*p*p*(p**(2\/7)\/p)\/p) assuming p is positive.\nAnswer: p**(-2018\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (430*r - 735*r + 305*r + 6520*r**2)*(3*r**2 + 2*r**3 - 3*r**2).\nAnswer: 13040*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/5*(11 + -6). Suppose -y - 1 = -3*o. What is the remainder when 13 is divided by ((-10)\/(-20))\/(o\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 9 = -1, 0 = -2*f - 6*x - 40 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1380255 to the nearest integer?\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7274 * 0.13.\nAnswer: -945.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 3)*(4 - 4 + w) + 12*w + 81 - 81 + (-4*w + 6*w - 3*w)*(-3 + 3 - 2) to x*w + p and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - z + 32, 51 = 5*u + 3*z - 31. Let o be 21\/u*32\/6. Let w(h) = h - 8. Calculate w(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-460)\/575 - (-8)\/(-15).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 6 = -5*x. Solve -r = -2*r + 4*m - 2, -5*r - x*m = 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*p - 14*p + 287*p - 17*p - 5*p - 13*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, s: 12}. Give prob of picking 3 s.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5024*d**3 - 4935*d**3 + 9957*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -13 - 17. Let u be (12\/(-15))\/((-278)\/d). Let p = u + 370\/3197. Sort p, -1, 5\/2 in increasing order.\nAnswer: -1, p, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 + 23223110021?\nAnswer: 23223110123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45732 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-2*sqrt(684) + sqrt(684))*4 - (1*(-4 + sqrt(684) - sqrt(684))**2 + sqrt(684))).\nAnswer: -30*sqrt(19) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -3*z**2 + 16*z - 18. Let s be x(3). Let i be (2 + -3)*0 - s\/(-3). Is i greater than or equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/9)\/(1\/(-12)). Let t be 10\/f*(3 - 1). Let w be 2\/t - 8\/(-5). Solve -w = -4*i + r + 3, r = -5*i + 13 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2\/11*t**3 - 48\/11*t + 0 - 46\/11*t**2 = 0.\nAnswer: -1, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 8:55 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2671, 2667, 2667, 2671, 2679, 2691?\nAnswer: 2707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 + 3*p**3 - 81*p**2 - 243*p - 162.\nAnswer: 3*(p - 6)*(p + 1)*(p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5\/504?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11397 - 6850. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/644525 and 41\/1392174.\nAnswer: 34804350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -2*u**5\/5 - 11*u**2\/2 + 5. What is the second derivative of q(m) wrt m?\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 > -1272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**5\/7 + 12*w**4\/7 - 8*w**3 + 18*w**2 - 135*w\/7 + 54\/7 = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/21*(-13692)\/2934*333\/4?\nAnswer: 111\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*i + 16, 0*i = p + 3*i - 10. Suppose -3*u + 5*k - 110 = 0, p*u + u = -3*k - 240. Let g = u + 95. Solve 7*s + g = 5*x + 2*s, 4*x + 3*s = 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*v = 0. Suppose 8*j - 12*j - 4 = v. Is 6 a factor of ((-25)\/15)\/(j\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/(v*v*v\/(v*v**(-2\/15))))\/v*v))**36\/(v\/(v\/((v**15\/v)\/v))*v**(-11)))**(-6\/5) assuming v is positive.\nAnswer: v**(-2244\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/(-20)*30\/36. What is the third smallest value in 2, 1, f, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3409332 * -245\nAnswer: -835286340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n**22*n))*n**22)**(-28) assuming n is positive.\nAnswer: n**(-1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**2 - 616*l + 21600 = 0.\nAnswer: 54, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 5*l + 19, 5*t + l = -0*l - 7. Let h be (-1)\/(t\/182) + -1. Suppose -h = -8*j + 3*j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -12673316\/5 and -2534662 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3 - -18) + -14 - 12) + (-2 - -1 - -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 5. Let j(y) = 2*y**2 + 2*y - 12. Let a be j(p). Round a to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98877572*y**3 - 70446884*y**2 wrt y?\nAnswer: -593265432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u**2 + 8*u - 8. Let o(r) = -14*r**2. Calculate g(o(m)).\nAnswer: -980*m**4 - 112*m**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 6*u - 2. Let r = 5 + -2. What is the remainder when 20 is divided by p(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-72))\/(5\/(-2))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + ((-102)\/12 - -4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + 2 + (-18 - -13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 18563 + 58847 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 - (12 - 2))*(-1 - 82). Let v = d + -52. Calculate the remainder when v is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -355, -329, -265, -145, 49, 335, 731, 1255?\nAnswer: 1925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 + 18*b + 113 + 119 - 11*b - 333.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 3\/2074?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - 1. Let p be (j\/4)\/((-15)\/140). Does 13 divide 368\/p + 4\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**4\/3 - 8215*u**3 - 30405715*u**2\/3 - 30299005*u + 40442460 = 0.\nAnswer: -2463, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/23 in -3\/13, -2\/23, 12\/11, -0.1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14 (b) 4 (c) -5 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 11*c + 2*p, -5*c - 4*p = 4195 - 4214 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -4*y - g, 4*y = 3*g + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*(-36)\/(-156)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 3*k**2 - 3. Let o(u) = u**3 - 4*u**2 + 6*u - 5. Let j be o(3). Let h(w) = -j - 3 - 70*w**2 + 63*w**2 - 3*w**3. Give -3*h(t) + 7*m(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -5. Let d = f - 2.2. Let o = 0 + d. Which is the second biggest value? (a) o (b) 2\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.64664 centuries in years?\nAnswer: 2964.664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 1. Let q(p) = -p**3 + p**2 + p + 2. Let x be q(0). Suppose -9*r + 10*r = x. Let z(t) = -3 + 3 - r + 3. Give a(w) + z(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/(-14))\/(2\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.049 + -0.677. Let r = 0.048 + m. What is r rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4*k + 4 = 0, -443*s + 31 = -440*s + 4*k. Let h = -57981 + 2841299\/49. Let w = -4\/147 + h. Which is bigger: w or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -1. Let c(u) = u**3 + 3*u**2 - u. What is the units digit of c(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**2\/5 - 66918*p\/5 - 3248680 = 0?\nAnswer: -241, 33700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 10.2. Let t = 2739\/2 - 1325. Let o = t + -43. Which is the third smallest value? (a) o (b) p (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 453354242 (base 6) to base 14.\nAnswer: 115aa30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6197199.378 to the nearest 10000.\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 16\/669, -1 in increasing order.\nAnswer: -1, -2\/11, 16\/669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 9*z - 3. Calculate l(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*b + 4 + 27*b - 4 + 579*b + 1.\nAnswer: 580*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11\/(220\/(-32))*-115.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) 7 (c) 1.64 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -331 + 1046. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 8*h**2 + 2*h + 1. Let d be w(7). Suppose a = d - 20. Let c = a - 23. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18107?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t. Let m(l) = -251*l**2. What is m(r(p))?\nAnswer: -2259*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 11:17 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1004 is divided by 332?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 10*s**2. Let v(c) = 31694*c. What is m(v(x))?\nAnswer: 10045096360*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -159*t**2 + 115909*t + 1451. Give w(729).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119 and 1853.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -145328 or -145260?\nAnswer: -145328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2062260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tpppppppttt. Give prob of picking 3 p and 1 t.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 1 = 15. Suppose -q*r + 12 = 2*l, 2*r - 6*r = 3*l - 16. Find the third derivative of u**2 - u**2 - l*u**2 - u**6 - 2*u**6 wrt u.\nAnswer: -360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/45 of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*j = 6*j + 68, 3*t + 5*j = 23. Let d be (-436)\/t - (-1 + -5). Is -22 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23302 = -1137*f - 15356 for f.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -24. Suppose 0 = -4*i + 4*s + 52, 5*i + g*s + 13 - 33 = 0. Let w = 15 + -4. What is the lowest common multiple of i and w?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3072)\/(-2304)*((-35279)\/(-4) + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 10301.\nAnswer: -3\/10301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 215700496 to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 3293\/3 + (-8)\/12 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 332*i + 390. Let k(w) = w - 4. Let d(r) = j(r) - 3*k(r). Find the first derivative of d(v) wrt v.\nAnswer: 329","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.61? (a) -0.3 (b) -1\/4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npgns. Give prob of sequence sp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -dd630 - 17?\nAnswer: -dd647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1205 or -1216?\nAnswer: -1216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001505 to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, i: 4, f: 3}. Give prob of picking 3 f and 1 z.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 1505*i + 123465. Give f(-78).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -32*o - 5. Let j(d) = -d + 1. Let k(u) = 5*j(u) + w(u). Let a(v) = -3*v. What is k(a(t))?\nAnswer: 111*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12204250265 - -3?\nAnswer: 12204250301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mv when two letters picked without replacement from {q: 2, v: 4, i: 3, m: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54.26 * 5.\nAnswer: 271.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, n: 2, y: 1, u: 4}. What is prob of sequence nny?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -42*p**2 + 8*p + 3. Calculate h(-2).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -301112331320 - 3?\nAnswer: -301112331323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, -0.5, -2, 1\/9, -17, 1\/191?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -171363*h**3\/2 + 18756878457*h**2\/2 + 156961335*h\/2 + 328371\/2 = 0. What is h?\nAnswer: -1\/239, 109457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12864 - -90050\/7. What is the nearest to -3 in 0.15, z, -2\/17, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-1) + (-2 - 2). Let o(s) = 35*s - 4. Let g be o(m). Suppose -g = -5*x + 79. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 - 2311*j**2 + 2324*j**2 - 4*j**3 to n + a*j**3 + i*j**2 + w*j and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (50\/225)\/((3 + -7)\/((-45)\/(-3))). Which is the nearest to -434? (a) -4 (b) 0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rys when three letters picked without replacement from {s: 1, k: 3, y: 3, r: 5}.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 4*f - 54 + 32 = 0, -19 = a - 4*f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(91) + (sqrt(91) - -1*1*sqrt(91)) + sqrt(91))*-6)\/(-5*(sqrt(112)\/sqrt(4)*-3 - sqrt(28))).\nAnswer: -18*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 30 = -g, -15*g + 35 = -11*g - 3*u. Suppose 6*n - 10*n + 6 = 5*d, 10 = g*n + 5*d. Solve -3*m - 9 = n*p, -15 = -3*p + 4*m + m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-252) - (-2)\/(-7). Which is greater: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 4 + 6*l + 0*l**2 - 5\/3*l**3. Find the first derivative of i(p) wrt p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2, -0.3, -2\/21 in ascending order.\nAnswer: -2, -0.3, -0.2, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000001 + 101011?\nAnswer: 100101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 3, -212 in descending order.\nAnswer: 3, 1, -4, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.06, -2\/53, -0.2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(1701\/(-159)) + -1 - 2\/7?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0, 2\/7, -0.3483, 4 in increasing order.\nAnswer: -0.3483, 0, 0.1, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26550\/7375*((-52)\/48 - -1)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -556 = 8*u - 2076. List the prime factors of u.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 786 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*n**3 + 79036 - 158070 + 79034.\nAnswer: 117*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100 + -65. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, s: 9}. Give prob of picking 3 s.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.451 - 0.049. Let w = -1.4 + 0.4. Let h = 0.8 + w. Which is the second smallest value? (a) h (b) m (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*c**2 - 149 - 11*c**2 + 24*c**2 - 1316 as i*c**2 + s*c + l and give l.\nAnswer: -1465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 0 - 5\/3*y**3 + 7\/2*y**2 + 1\/12*y**5 + 5*y + 5\/24*y**4. Let m(u) be the first derivative of n(u). What is o in m(o) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + 1 + 3)**2 + sqrt(125) + 2 + (2 + sqrt(125) - sqrt(125))**2)*-2.\nAnswer: -294 - 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/432 and -121\/54.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 12:39 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -70 + -6?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kohrc. What is prob of picking 1 r and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, r: 1, m: 3, a: 3}. What is prob of sequence fmar?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2\/3*y**2 + 1\/3*y + 1\/3*y**3 = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 7*c**2 + c - 16. What is the hundreds digit of o(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/13))**(2\/107) assuming i is positive.\nAnswer: i**(-4\/1391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69662, 139093, 208524, 277955, 347386, 416817?\nAnswer: 486248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185, 190, 197, 206, 217, 230, 245?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100 + 460*w - 228*w + 120 - 5*w**3 - 3*w**2 - 231*w to the form u*w**2 + g*w + i*w**3 + y and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3020?\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.44059 to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -2203211221?\nAnswer: 2203211223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 2. Let n = -24 + 24.4. Let c be (-4 - -1)*(-1)\/21. Sort g, c, n.\nAnswer: g, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**31\/(j**(2\/17)*j)*(j\/j**(-16))**(-40) assuming j is positive.\nAnswer: j**(-11052\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 12, -2*s + 0*s = -5*g - 19 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + -5 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggggggg. What is prob of picking 2 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 28. Suppose 0 = v - 5, 0*k - 5*v = 2*k - t. Let o be ((-6)\/k)\/((-1)\/2). Solve -o*x = x - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 251396472 to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 23. Which is the second biggest value? (a) 2\/3 (b) 0.5 (c) k (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 3*x**2 + 4*x. Let q(p) = 41*p**3 + 14*p**2 + 18*p + 2959. Let v(o) = -q(o) + 4*y(o). What is the derivative of v(i) wrt i?\nAnswer: -135*i**2 - 4*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-39)\/(-12) + (-2)\/8 - -159.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 z when two letters picked without replacement from {g: 7, z: 2, s: 7}?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 12:26 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.03 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -291, 0.07 in ascending order.\nAnswer: -291, -4, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -131 - -132. Let k = -5 + 3. What is the units digit of (-50)\/k - (-1 - v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -3 + 0*m**2 + 0*m + 3\/4*m**4 - m**3. Find the third derivative of p(h) wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + w - 2. Let x = 37 - 31. Suppose x*d = 23 - 11. What is l(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4156 - 2873. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 11632.75\nAnswer: 11649.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m + 9. Suppose 9*d - 8*d + 86 = 0. Let n = d + 80. Determine s(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.8417 + 4\nAnswer: 7.8417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -156*h**2\/5 + 16912*h\/5 - 451156\/5 = 0. What is h?\nAnswer: 1849\/39, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1616.7 - 2.\nAnswer: 1614.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/45 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.38 + -0.02. Let q = -110494\/5 + 22097. What is the second biggest value in f, q, 0.04?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15 - (6 - 4)) + -18 - 4) + 43?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/5490 and 89\/24?\nAnswer: 21960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -9*y + 30. Do 4 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -17, -19, -21?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -50761, -50862, -50957, -51040, -51105, -51146, -51157, -51132?\n\"Answer: j**3 - 3*j**2 - 99*j - 50660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1848 - 4600 - 508 = -36*u - 1700 for u.\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*j - 44 = -48*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**3 - 612*j**2 - 12*j + 26.\nAnswer: 6*j - 1224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvofzwoozwfvo. Give prob of picking 1 f, 1 o, and 2 v.\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10676048?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0578 + 12.3922. Let p = q + -12. Let m = p + -0.358. Round m to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -5986 - -5985.8. Suppose 0 = -s - 3*v - 9, v - 20 = -5*s - v. Suppose -s*f = -2*f + 20. Which is bigger: g or f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5941301065.\nAnswer: 5, 7, 1487, 114157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14751 + -117 + (-1)\/(1\/(-2))?\nAnswer: 2, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**2\/7 + 4209*b\/7 - 16820\/7 = 0.\nAnswer: 4, 4205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -2\/159 (c) 0.7 (d) 5 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccjccjcj. What is prob of picking 1 c and 2 j?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26614183*z + 324002336?\nAnswer: -26614183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 614496*q - 286067?\nAnswer: 614496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hco when three letters picked without replacement from hcoo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12*3\/18*-2. Let j(q) = q**3 - q. Let m(x) = 3*x**3 + 5*x**2 - 2*x. Let a(r) = v*j(r) + m(r). What is the tens digit of a(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(288))**2 - 1*(0 + sqrt(2))) + -1 - (sqrt(40)\/sqrt(5) + sqrt(8) + -5 + 0)**2.\nAnswer: 15*sqrt(2) + 231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(78\/(-4))\/((-8442)\/18760).\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y + 2*c + 80 = 0, 0 = -2*c. Calculate the remainder when 78 is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, j: 7, b: 1}. What is prob of picking 3 j?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6\/19)*b*b**(-1\/15)*(b**(-3\/8))**(-6))**10 assuming b is positive.\nAnswer: b**(3269\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 4:59 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 221052 - -3523?\nAnswer: 224605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 9:50 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.3908 centimeters to millimeters.\nAnswer: 253.908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 509 - 864. Let v = 603 + r. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**5\/60 + l**4\/4 - 7*l**3\/6 - l**2. Let c be (-53)\/(-7632)*18 - 82\/16. What is b(c)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48826940 divided by 9765388?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11830118 - -58266134. Let t = -65736016 + s. Round t to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 20*u**2 - 3 + 82*u**2.\nAnswer: 62*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89 + 3*g + 0*g + 11258*g**2 - 11261*g**2 + g to the form z*g**2 + b*g + c and give c.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*d - 8*d. Suppose -s + 6978 = -d*s. Is (s\/(-4))\/(2\/12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 18*l**2. Let k(f) be the second derivative of f**6\/180 + 19*f**3\/6 - 11*f. Let z(v) be the second derivative of k(v). What is z(r(s))?\nAnswer: 648*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (29 - 27)\/(1\/(-86)*-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -21*w - 14. Give k(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - y + 5*y + 45 = 0, -4*y = 4*o + 40. Let x(q) = q**2 + 2*q + 10. What are the prime factors of x(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2270 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 206*k. Let v(y) = 11*y**2. Calculate g(v(s)).\nAnswer: 2266*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -3 - 2 - 5 - -16.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0 = -4. Suppose -p + 0*p = 4, 3*p = -i*d - 20. Is 8 a factor of 34\/2 + d + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgz when three letters picked without replacement from {o: 5, r: 2, z: 1, m: 2, f: 4, g: 1}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27469 take away -210?\nAnswer: 27679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-170)\/15 - -11) + (-18)\/(-12).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1328 divided by 3?\nAnswer: -1328\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2870911 is divided by 4514.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**2 + 3*r. Let v(b) = -b**2 - b. Let z be (1\/(6 - 3))\/((-1)\/9). Let l(p) = z*v(p) + n(p). Find the second derivative of l(k) wrt k.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -3*u - 18. Suppose -u = -i - 2*i. Suppose 7*z = i*z + 5*q + 75, -z = -4*q. Calculate the smallest common multiple of z and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1250 and -2.854.\nAnswer: -3567.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 55*z**2 - 651*z - 66. Give u(-65).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 53 = -0*c - 5*c, 5*g = 2*c - 35. Suppose 4*q - 6 = c. Solve p - 12 = q*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 31995806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14443 - -14445. Sort y, -7\/82, 4.\nAnswer: -7\/82, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 5703*v**4\/4 + 261*v**2\/2 - 5*v + 6338. What is the second derivative of s(f) wrt f?\nAnswer: 34218*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012325 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -233.7 - -272. Let u = f + -47. Let b = u - 0.3. What is the nearest to b in -2, 0.1, 2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3580 is divided by 112.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -6. Is b at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1232*u + 91 with respect to u.\nAnswer: -1232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -18129 at least -18938?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4862029.2474706 plus -4?\nAnswer: -4862033.2474706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/98)\/(45\/525*-25)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(6*sqrt(3888)*2 - (-4 + (sqrt(3888) + -1 - sqrt(3888))))*-5 + -1)**2*-1.\nAnswer: -13997476 - 112320*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8\/5)\/(12\/750)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 12480871*y**2 - 246088*y - 61522. Let g(h) = 1623*h**2 - 32*h - 8. What is 30761*g(z) - 4*x(z)?\nAnswer: 1619*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -78*g**3 + g**2 + g - 1. Determine h(1).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -159, -376, -593, -810, -1027, -1244?\n\"Answer: -217*m + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkn when three letters picked without replacement from axknhns.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 170 + -90. Suppose -9*o = -14*o + s. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrxrxcxxwrbrrrxcxb. What is prob of sequence rcc?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6672788 is divided by 3336394?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 53387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4*3)\/(18\/12). Suppose -a - d = -5*a. Calculate the lowest common multiple of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 923 - 922.998552. What is q rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39811 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -5, 14, 45, 88, 143?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-6\/5)*z)*z**(2\/3)*((z\/((z\/(z\/z**(1\/11))*z)\/z)*z)\/z)\/(z\/(z**(2\/9)*z)))\/((z*z**(1\/4))**(13\/5)\/((z*z**(2\/3))\/z**(1\/8))) assuming z is positive.\nAnswer: z**(1147\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k + 1. Let u(r) = -28*r + 3. Let o(l) = -6*a(l) + u(l). Let h = 12 + -8. Calculate o(h).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 3. Calculate the remainder when (-46)\/(-2) - (-2225 + 2183) is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*t - 888 = 44*t. What is the second derivative of 222 - t - 9*z**2 - 15*z wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1129*i - 15022 + 13803 = -22849 - 19014 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 9. Suppose 0 = -5*m + b + 4. Suppose a - z - 9 = m, -z = -5*a + 35. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 7*g**2 + g - 5. Let k be o(7). What is the units digit of 1\/(k\/2*1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -31*t - 65. Let x be j(-2). Which is the fourth smallest value? (a) 0.2 (b) 9 (c) 1\/48 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31726.\nAnswer: 2, 29, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33381220127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1909 greater than 3815\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/305 or -134?\nAnswer: 1\/305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3365?\nAnswer: 5, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002843397 rounded to six dps?\nAnswer: -0.002843","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 42\/(-30) - (-2 - -1). What is the nearest to o in 0, -2\/9, 3\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1966959 to the power of 1\/2, to the nearest integer?\nAnswer: 1402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1699*w**3 - 56*w**2 - 315841*w wrt w?\nAnswer: 10194*w - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-564)\/(-1645))\/(10\/(-70)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20119067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 328 = -3*n + 72, -128 = -2*j + 5*n. Suppose 5*h - 2*h + 4*o = j, o = -2. Calculate the lowest common multiple of 21 and h.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133513552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from {n: 2, d: 1, g: 1, s: 1, i: 2, r: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -36 (c) -1 (d) 3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3\/5 - 102*r**2\/5 - 5888*r\/5 - 11352\/5 = 0. Calculate r.\nAnswer: -33, -2, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -0.2, 13\/3, -1\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30.4? (a) 2\/3 (b) -26\/5 (c) -116\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -17 + (26 - 32).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 5*t - 25, 5*u + 4*t - 120 = 0. Let i = -5563 + 5568. What is the smallest common multiple of i and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -t + 2*t + 8, 5*o - 15 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3722606877 to the nearest integer?\nAnswer: 1550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 9*d**2 + 2*d - 10. Let l(c) = -c**2 - 10. Let o be l(0). Let g be r(o). What is the highest common factor of 20 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -2\/117, 3\/4, -5, 10328, -0.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 73891*b + 5143*b + 10 + 9.\nAnswer: 79034*b + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, p: 1, l: 4, d: 5, w: 1, n: 7}. Give prob of picking 2 n.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86491*o**2 - 48*o + 43246*o**2 + 7*o + 39*o + 2*o + 43241*o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**0)**21\/((l**(-2\/3)*l)\/l**(-2)) assuming l is positive.\nAnswer: l**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14542 and 236707405?\nAnswer: 473414810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 182204022, 182204023, 182204024?\n\"Answer: m + 182204021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10, -19, -16, 5, 50, 125?\n\"Answer: a**3 - 16*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45215 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/11 + 3\/44. Let q(t) be the second derivative of -v*t**4 - 1\/3*t**3 + 0*t**2 - 1\/20*t**5 + 0 + 3*t. Factor q(b).\nAnswer: -b*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-69)\/15 + 7 + 128\/(-20). What is the hundreds digit of (-66)\/k*-4*5\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74 + 77. What is the second derivative of -u*d + 8*d**3 - 4*d + 13*d**3 + 8*d wrt d?\nAnswer: 126*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 - 56*k + 21. Let t(i) = -109*i**2 + 337*i - 12. Let g be t(3). Calculate y(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) -1\/3 (b) -0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -4 + 3 - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -351 + -935. Suppose 550 = -3*y - 4*l, -2*y + l + 556 = -5*y. Let w = g - y. What is w rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 13*w - 8. Let c be r(-12). Suppose -c*g + 3*b = -270, 5*g - 7*b + 3*b = 337. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16226 + -16226.00082622. Round q to six dps.\nAnswer: -0.000826","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*v + 14 = 0. Suppose p + 0 - v = 0. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*l + 27. Let r be (-756)\/84*(1 + -12). Calculate the greatest common divisor of r and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641642.\nAnswer: 2, 320821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001273 to 7 dps.\nAnswer: -0.0000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, q: 4}. What is prob of sequence aaq?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g*g*(g\/(g\/(g\/(g**(-2)*g)*g)))\/g*g)*g\/((g\/(g**(-21)\/g))\/g) assuming g is positive.\nAnswer: g**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y. Let n be h(2). Suppose 217 = n*g + 1. What is the greatest common divisor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4559 divided by 58228?\nAnswer: 4559\/58228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 4, f: 2, i: 6}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 38*l + 66. Determine m(36).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 320, 389, 440, 467, 464?\n\"Answer: -g**3 - 3*g**2 + 85*g + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35.85 - 4.15. Let q = 40.0000267 + i. What is q rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -13. Suppose o - l = -0*o. Suppose -11*k + 6 = -o*k. Sort 4, 7, k.\nAnswer: k, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-4)*(-20)\/(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.4005 and 6.\nAnswer: -14.403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 8 = -4. Put -1\/23, 1, x in decreasing order.\nAnswer: 1, -1\/23, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g - 2*g**2 + 4*g - g + 3*g**3 in the form w*g**3 + f*g**2 + c*g + p and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 9*i. Let l(b) = 2*b - 7. Let y(g) = 4*g - 24. Let a(t) = -9*l(t) + 4*y(t). Determine x(a(r)).\nAnswer: -18*r - 297","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 387, 17, -10, 3, -5 in increasing order.\nAnswer: -10, -5, 3, 17, 387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 930*o**2*r**2 + 95*o**2*r - 6*o*r**2 + 49890*o*r wrt o.\nAnswer: 1860*r**2 + 190*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o**2 - 2614390*o. Let b(v) = 14*v. Give b(s(l)).\nAnswer: -70*l**2 - 36601460*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-17 + 7)*(-2)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*221\/(-136)*(-1)\/26. Let u = 4 - 2. Let w be 0 + 2 + (2 + -1 - 3). What is the third smallest value in w, g, 2\/3, u?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (78 - 0)*((-8)\/(-16))\/1 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((0 - 10) + (29 - (-30 - -3) - 5)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 4*r - 4*r + (-2 - 3 + 6)*(3 - 3 + 3*r) + 6*r - 4466 - 4*r + 4408.\nAnswer: 3*r - 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-2)\/96*-6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 100*t - 20*t + 3.\nAnswer: 80*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5365.3 + -6003. Let t = 638 + i. Which is smaller: 66 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o + 185 = 0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 9*r + 2. Let g be h(9). Let x = -584\/7 + g. Let w = 46 + -137\/3. What is the nearest to 0 in x, w, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**5\/2 - 17373*i**4\/2 - 2572049*i**3 - 189470577*i**2 + 773384099*i\/2 - 389281473\/2 = 0.\nAnswer: -17073, -151, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.086 + -0.086. What is the third smallest value in 6, -0.5, q?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*g + 7 = -g, -6 = -2*g. Let b be ((-3 - -1) + 2)\/1. Factor 14\/3*i**5 + 0*i**2 + b*i - 6*i**o + 0 + 4\/3*i**3.\nAnswer: 2*i**3*(i - 1)*(7*i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23211424 + -22?\nAnswer: -23212001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37854 + -0.27.\nAnswer: 37853.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303196 is divided by 281.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 11:42 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 84*i**2 + 1033*i + 67099. Determine n(-87).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3414 + -4946. Let b = i - -2642. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 11, 17, 23, 29, 35?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vatttttvaav. What is prob of picking 1 a and 1 t?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 3*g - g)*(4*g**2 + g**2 - 3*g**2) + g - g - g**3 - 6*g**3 + g**3 + 3*g**3 + 2*g**3 - 4*g**3 + g**3 + g**2 - 15000*g + 15000*g - 1585*g**3.\nAnswer: -1587*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**3 + 5*g - 3 + 15*g**2 - 39*g**2 + 20*g**2. Let n be a(2). Solve -10 = n*d - 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -108 - -92. Find the common denominator of 93\/14 and (30\/(-528))\/((-4)\/z).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 10 + l**3 - 2*l**3 + 8*l - 3*l**3 + 6*l**2 + 3*l**3. Let r = 34 + -27. What is j(r)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 11*t**2 + 14. Let d be w(-11). Let g be 120\/(-42)*d\/(-4). Suppose -g = 5*z, n - 20 = 4*z + 9. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmvsvmv. Give prob of sequence ns.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**2\/3 - 6*n + 19\/3 = 0.\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 5. Let i be r(-6). Let o(v) = 5*v - 4 + 5 - 3*v - 3 - 8. What is o(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 697 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 4, z: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -246 divided by 117\nAnswer: -82\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*d**6 - 8*d**4 + 932*d**2 wrt d?\nAnswer: -1080*d**3 - 192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 + -67. Which is smaller: -12\/41 or h?\nAnswer: -12\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 562 + -564. Let b(n) = n**3 + 2*n**2 - 8*n. Let c(g) = 2*g**3 + 5*g**2 - 17*g + 1. Calculate s*c(y) + 5*b(y).\nAnswer: y**3 - 6*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) -11 (c) -2\/11 (d) 78 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107587 and 271?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**2 + 66*n**4 + 2*n**2 - 1 - 68*n**4 + 12 to o*n**2 + p*n + c*n**4 + f*n**3 + b and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 582080\/(-10700) + 42\/30\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 38477*y - 4848014. Determine k(126).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11649540.648 + -289.\nAnswer: -11649829.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/18 - 120\/(-54). Let s = -3 + 6. Suppose s = 3*w - y*w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.258 - 563.742. Let b = j + 565. Put -6, 0, b, -1 in descending order.\nAnswer: b, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 9. Let w = -5 + j. What is the second derivative of -2*m**5 + 5*m + 0*m - 3*m**5 + w*m wrt m?\nAnswer: -100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (-3154)\/144 + (-2)\/(-16).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 4*m + 14, 4*t = -m + 9 - 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9, 0, 31, 96, 207, 376, 615?\n\"Answer: 2*m**3 - m**2 - 2*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (32\/6)\/1*12\/16\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 878.1397 meters to micrometers.\nAnswer: 878139700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 90840.32 days in microseconds?\nAnswer: 7848603648000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42531 + -1531259\/36. Calculate the common denominator of t and 19\/14.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9741 is divided by 59?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9744\/(-280))\/(-58))\/(6\/(-4))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11535 (base 7) to base 15.\nAnswer: -d60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - -6 - 2)\/(1\/(-6)). Let w(f) = 2*f**2 + 17*f - 18. List the prime factors of w(k).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.7 take away -49?\nAnswer: 39.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2702*f**3 - 33*f - 32. Is u(-1) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 25 = 5*h, -4*l - 5 = h - l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*p - 3 = -p, 4*c - 9 = p. Let a(d) = d**2 - 2*d + 2. Let t be a(c). Solve l + 2*g - 10 = -3*l, -l = t*g + 11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -36*v - 30. Let k be b(-6). Let n = -1304\/7 + k. What is the closest to -0.1 in -5, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.33, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*g - 8 = 199*g + 60 + 25, 143 = 3*r + 5*g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ummu when four letters picked without replacement from muumu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1236 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x**2 + 41*x - 54. Determine k(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3333, 2\/15, 0.3, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 + 0.7. Let s = -503\/84 - -65\/12. Put -2\/3, z, s in descending order.\nAnswer: z, s, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s - 2*s + 14*s + 3*s in the form n*s + c and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-4)\/(-8) - 8\/(-6).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = -0*f + 16. Solve f*v - 2 = 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 equal to -2.2553077?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 1)*(-4*k**3 + 2*k**3 + k**3) + 4 + 8 - 11 + 12*k**3 - 8*k**3 - 12*k**3 - k - 2*k**2 + 0*k to r*k**3 + w*k**2 + g*k + f and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 15*w**4 - 14275*w**3 - 62435*w**2 + 281915*w + 100380 = 0.\nAnswer: -7, -1\/3, 3, 956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -175*v + 116 - 391 - 1650 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 127*a**2 + 4*a - 5. Let u be n(2). Let c = 195 - u. Let s = -1587\/5 - c. Which is smaller: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6832 greater than -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29634105?\nAnswer: 3, 5, 61, 139, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -2\/11, -5\/2, -3\/5, 0.2, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -2. Let r = 43 - 39. Which is the nearest to 1? (a) r (b) y (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16.5, -5\/2, 1\/6, -4, -2\/3 in ascending order.\nAnswer: -4, -5\/2, -2\/3, 1\/6, 16.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*k**2 + 3*k**2 - 311*k - 26*k**2 - 22*k**2.\nAnswer: -61*k**2 - 311*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15*z**3 - 12\/5 + 2*z + 8\/15*z**2.\nAnswer: -2*(z - 6)*(z - 1)*(z + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 118 + -85. What is the remainder when c is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8832867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32 + 16 - 8)*((-3*h + h + h)*(-3 + 1 + 4) + 0*h + h + 0*h) in the form q*h + t and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20768?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.003 (b) 1 (c) -2544 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -58\/388483 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**2 + 8*q + 95. What is g(-5)?\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 a, and 1 m when three letters picked without replacement from mqqqmquaamqqmq?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 9 + 3. Suppose -a*l - 4*t + 3*t - 9 = 0, 2*l + 3*t + 3 = 0. Is 3\/9 + (-124)\/l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 25 - 107*g**2 + 179*g**2 - g**3 - 3*g - 84*g**2. Let q be r(-11). Let j = q - -175. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*b = 2*x + 6, 16 = 3*b - 4*x. Solve -3*n - l - 3*l - 4 = 0, -4 = -b*n + 4*l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/6 + 33\/30. Let l = -4 - -4. Let f = 0.1 + l. What is the closest to f in 3, a, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/(o*o*o**1*o*o*o)*o))**34*(o*o*o**(2\/5)*o)**47 assuming o is positive.\nAnswer: o**(1479\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -26, 0.05, 4, -4.\nAnswer: -26, -4, 0.05, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llrrsrssrsls. What is prob of picking 1 s and 3 r?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbp when three letters picked without replacement from {b: 1, p: 5, j: 7}?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*s**2 - 128*s**2 + s**3 + 210*s**2.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 0.4, 0, -3, -69.85, -0.2, 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 175083 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + h + 1 + 0*h)*(-6*h**4 + 2*h**4 - 4*h**4).\nAnswer: -8*h**5 - 16*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -63*b - 88. List the prime factors of j(-29).\nAnswer: 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 237480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**5 - 400*r**4 + 2160*r**3 + 225990*r**2 + 1377675*r + 1154250 = 0. What is r?\nAnswer: -15, -6, -1, 45, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40221, -40281, -40341, -40401, -40461, -40521?\nAnswer: -40581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 u when four letters picked without replacement from {x: 1, h: 3, e: 1, u: 1, d: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1068, -4382, -9906, -17640, -27584, -39738?\n\"Answer: -1105*i**2 + i + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 1:44 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 3, -434 in decreasing order.\nAnswer: 3, 2, -2, -434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -274?\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600558967.\nAnswer: 71, 8458577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 275784001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 376*f - 2 - 5 - 68*f. Let g = 1564 - 1558. Is i(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {h: 1, t: 2, u: 5, r: 5, p: 2, z: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 499954 to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**3\/9 - 74*s**2\/9 + 832*s\/9 - 2560\/9 = 0?\nAnswer: 5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qk when two letters picked without replacement from {y: 5, s: 5, q: 1, p: 1, k: 5}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 159*s + 25. Let w(k) = -k**2 - 8*k + 109. Let j be w(-15). What is the tens digit of l(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 874728 or 874731?\nAnswer: 874728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 11759\/16971?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 434 times 0.5\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00049192 to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12462 - 12472.814. Let b = 0.014 + k. Let i = b + 10.800091. Round i to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 275*n + 29138. Give p(-106).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/1293875 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 194.5 - 194.8. Let y = -136.02 - -136. What is the fourth smallest value in y, 1, o, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 900865481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 - 487407*q\/2 - 30463.\nAnswer: (q - 60926)*(8*q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (13 - 10) + 11 - (0 - -6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -83 + (699 - 721) + 14.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + (-11)\/4)*(-43 - -39). Suppose -2*x + 567 - 27 = 0. Suppose l*w + x - 1348 = 0. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3791\/43 - -80779\/946. Calculate the common denominator of k and 1\/30 + 4\/10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**2 - 4*x + 7. Let p(l) = 2 - 6*l + 8 + 6*l**2 + 0*l**2. Let v = 21 + -26. Give v*p(h) + 7*k(h).\nAnswer: -2*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 198 - 197.9. Let y = -0.3 + 0.8. Which is the smallest value? (a) y (b) q (c) -3\/5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 2*m - 2. Let f(k) = 67*k**2 - 17*k - 12. Calculate f(q) - 6*w(q).\nAnswer: 73*q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 127, 0.3, 5, 4, 0.04 in decreasing order.\nAnswer: 127, 5, 4, 0.3, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -j + 10, -29*j - 4*i - 14 = -28*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*j**2 - 2*j**2 + 0*j**2.\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9976648 and 2220.\nAnswer: 5537039640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 24*c - 23. Let j be y(22). Solve 2*m + j = 3*m - 5*n, -12 = -2*m + 4*n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, 21, -8\/5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-225997)\/4263 + 61 + 2 + -10\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -120*c - 52. Let v be r(-10). Suppose -v = -13*b - 95. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 12306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from ttktttktttt?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42807 or -5?\nAnswer: -42807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074550283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -2*o - 8. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)*x)\/(x\/((x**(2\/7)\/x)\/x))*(x\/(x\/(x\/(x*x*x*x\/((x\/(x**(-1)*x))\/x))))*x*x*x)**(3\/2) assuming x is positive.\nAnswer: x**(-26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b + 17 - 17 + 0*b to l + y*b and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*f - 3*j + 10 = -24*f + 7, -3*j + 6 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + ((sqrt(1700) - (((sqrt(1700) + 0)*5 - sqrt(1700)) + sqrt(1700))**2) + sqrt(1700) - (sqrt(1700) + 4 + 4*sqrt(1700) + sqrt(1700))**2)).\nAnswer: 460*sqrt(17) + 103713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2601 + 3209. What is the greatest common divisor of 352 and u?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64883, 129788, 194693, 259598, 324503, 389408?\nAnswer: 454313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from krvklka?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-seven halves of a millimeter?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.836 times -2.1?\nAnswer: 1.7556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4398*b**6 - 2*b**5 - 5*b**3 + 256656*b**2 wrt b.\nAnswer: 527760*b**3 - 120*b**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-3*(-20)\/(-15). Let a be (l\/2)\/(6\/(-9)). Suppose a = -3*q + 12. Is -0.2 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 36*w**2 - 458*w - 14515. Determine l(-38).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 3\/3874?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 10*i**2 + 2474*i + 15 + 0*i**3 - 1228*i - 1236*i. Calculate a(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-11 - 0) + (441693\/(-504))\/(-123)?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 672429 is divided by 51.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -0.3 (c) 6 (d) 8 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*s = 54*s + 52728. Is s - (8 + (-6)\/6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 15*n**2 + 52*n + 44. Calculate the remainder when y(-19) is divided by 97.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30\/23 or 1\/50?\nAnswer: -30\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -4*x + 127\/2*x**2 - 25. Is w(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, e: 4, f: 3}. Give prob of picking 1 f and 1 t.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(-70) + (-11094)\/430.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f**2 + 12*f - 13. Let k(b) = -4*b**2 + 11*b - 12. Let t(u) = -3*i(u) + 4*k(u). What is the units digit of t(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1419 + -1418.7572. What is q rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ggggdjdjj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = k, k - 12 = 2*c - 3*k. Suppose -2*g = -0 - 2. Solve y + 5 - g = c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275*v + 7470*v**2 + 74*v**2 + 275*v.\nAnswer: 7544*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w + 12. Let g be l(9). Let b = g - -27. Let m(o) = -2*o**3 + 3*o**2 + 3. Let p(v) = -8*v**3 + 13*v**2 + 13. Give b*p(f) + 26*m(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 133*a*u**3 - 13*a*u**2 - 47*a*u - 2*a + 2*u**3 + 98*u**2 + 150*u - 2 with respect to a.\nAnswer: 133*u**3 - 13*u**2 - 47*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 173, 1781, 6161, 14699, 28781, 49793, 79121, 118151?\n\"Answer: 231*g**3 - 9*g - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 11:15 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o + 1. Suppose 3*p + 9 = -3*h, 3*h - 4*h + 2*p = -12. Suppose 16 = -h*a - 2*t, 5*a - 5*t + 4*t + 40 = 0. What is w(a)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t = 11*t - 4*r - 2, 25 = -3*t + 5*r. Let v(h) = -h**2 + 6*h - 7. Let x be v(5). Let a be -3*(x\/6 + 1). Sort a, 1, t in increasing order.\nAnswer: t, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42434356 + 1?\nAnswer: 42434360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 i when three letters picked without replacement from ovqoqyii.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssssss. What is prob of sequence ss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 26875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433000411 (base 5) to base 15.\nAnswer: 2664db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -9*g - 53. Let q(p) = 3*p + 18. Let x(n) = -2*d(n) - 7*q(n). What is x(-11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxxn when four letters picked without replacement from {q: 1, n: 1, l: 4, x: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4548214.\nAnswer: 2, 11, 17, 12161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -671.5 + 740. What is the second smallest value in 3, -1, 2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 + c - 14. Let s be y(-4). Calculate the highest common divisor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmommomommmmmm. What is prob of picking 3 m?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 715476 to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 = 232*u - 207*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, w: 1, x: 1, c: 2, g: 1, h: 1}. Give prob of picking 2 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116644*f - 32*f**2 - 908 + 116644*f + 911.\nAnswer: -32*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67447*t**2 + 67114*t**2 - 134583*t**2.\nAnswer: -22*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62*w**3 - w**2 + 171*w?\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/9, -1, 14, 9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.038, 110, 3\/5?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**5\/7 + 258*v**4\/7 - 5970*v**3\/7 + 2220*v**2 + 92373*v\/7 + 10086 = 0 for v.\nAnswer: -2, -1, 7, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**4\/24 + 9*x**3\/2 - 28*x**2. Let l(d) = 1. Let o(y) = c(y) - l(y). What is the units digit of o(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -220, -210, -194, -172, -144, -110?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 727*s + 645*s - 2777*s + 554*s + 528*s.\nAnswer: -323*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 413 - 353, i - 11 = -3*o + 4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 17*z - 31. What is q(-18)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**2 + 9*r**2 + 0*r**2 + 10*r**2 to g*r**2 + s + p*r and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5547?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(1053) - (4 + 2 + sqrt(1053)) - (sqrt(1053) + (sqrt(1053) - (5 + sqrt(1053) + 0)) - sqrt(1053)))**2 + 0 + -1)*2 + -4).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*7264.\nAnswer: -36320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a meter in millimeters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 39 - 26803\/686 - (-89)\/70\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -1 + (-560)\/448*36?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6 + 11*l + 3 + 12*l**2 + l**3 - l - 6. Let c be q(-11). Suppose -t + 8 = c*p - 9, p - 6 = -t. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -0.287 (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 2*l - 1. Let m be j(-1). Let g(i) = -4*i**2 + 5*i + 3*i**m - i + 2*i**2 - 3. What are the prime factors of g(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 2*k**3\/3 + 2*k - 1. Is 5 a factor of n(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 18130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i + 3. Let o(r) = -8*r - 3. What is -5*n(d) - 4*o(d)?\nAnswer: -3*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 351*n - 51154. What is b(145)?\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2311655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 6:35 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186, -367, -550, -735, -922, -1111, -1302?\nAnswer: -1495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375 = l - 20. Let d = 210 + l. Let r = -103 - d. What is the remainder when 291 is divided by r?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 4*n + 22, -b + n + 13 = b. Suppose 2*q - 5*c + 76 = 0, -b*c - 56 + 18 = q. What are the prime factors of q\/(-6) - 16\/(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*r - 59 = 0, -40*r + 36*r + 1 = -3*j. Let x(h) = -3*h + 2. Let k be x(3). Calculate the remainder when 156\/7 - (-2)\/k is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -242.34 + 246. Let c = -0.34 - t. Put 4, c, -2 in increasing order.\nAnswer: c, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 0. Let p = -226 - -225.6. What is the closest to 1 in -2\/7, p, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + -3. Let b(a) = -a**2 - 2*a + 9. Let w(n) = -3*n**2 - 6*n + 26. Let i(o) = 17*b(o) - 6*w(o). Determine i(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95408 and 2983912?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19\/(-21) - 11\/(-5 + -28). What is the nearest to z in 0, -4, 3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 5. Let t = -9 - b. Let x = -3.249 + -1.751. What is the second smallest value in x, t, 3\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 2, 61, -8, -828 in descending order.\nAnswer: 61, 5, 2, -3, -8, -828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10703.5 + 10703. What is the nearest to -1 in o, 4, -29?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/4 + 72*n**2 - 441*n.\nAnswer: n*(n - 6)*(n + 294)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*r - 12*r - 10*r + 4*r - 3*r + 2*r - 4*r + 0*r + 2*r + 3 - 3 - 3*r + r - 2*r + 3*r + (16 + 3 + 1)*(3 + 2*r - 3) as o + p*r and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w - w + 0*w)*(-2 + 3 - 5)*(-5 - 5 - 14) in the form x*w + u and give x.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/3 + 11*j**3\/3 + 13*j**2 + 49*j\/3 + 20\/3.\nAnswer: (j + 1)**2*(j + 4)*(j + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-5))\/h*h*h)**(2\/23)*(h\/(h**18\/h))\/h*h*h**(10\/11) assuming h is positive.\nAnswer: h**(-3664\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 195*v + 51*v + 2470*v - 69*v as g + z*v and give z.\nAnswer: 2647","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 + -53. Let j = 0.1 + -0.3. Sort j, 0.5, b in descending order.\nAnswer: 0.5, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 - 128*j**2 - 332*j + 2040.\nAnswer: 4*(j - 34)*(j - 3)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 49161728 and 1.\nAnswer: 49161729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 2:33 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -93*r + 25. Let a(q) = 187*q - 51. Let k(s) = -6*a(s) - 13*d(s). Is k(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 7*r - 1. Let f be p(-6). Solve -4*m = -5*b - m, 5*b - f*m - 10 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*n**4 + 22*n**4 + 1 + 3*n**2 - 2*n + 15*n**4 + 67*n**3 + 1 - 18*n**4 in the form w*n**3 + c*n + r + t*n**4 + l*n**2 and give w.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0433215um in meters?\nAnswer: 0.0000000433215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56674939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-7))\/a)\/(a*a**(4\/7)\/a)*a\/(a*(((a**(6\/7)\/a)\/a*a*a*a)\/a)\/a*a)*a*a\/a**(-4)*a**(-1\/2)*a*a**(-3\/7)*(a**0)**20 assuming a is positive.\nAnswer: a**(163\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**3 - 2*i**3 - 9*i**3)*(2 + 0 - 3)*(3*i**2 - 3 + 3 + (3*i - 2*i + i)*(i - 5*i + 2*i)).\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2634847 is divided by 815.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 741027, 741059, 741091?\n\"Answer: 32*n + 740995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3 + sqrt(98)*-1 + 2 + sqrt(8)*4*3)**2.\nAnswer: 204*sqrt(2) + 614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1814 - 1226. Let r = t - 587.98. Sort -0.6, 4, -0.1, r in increasing order.\nAnswer: -0.6, -0.1, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 1. Let u(j) = 15*j**2 - 11*j - 2. Let k(r) = -103*r**2 + 76*r + 13. Let h(i) = -6*k(i) - 41*u(i). What is -h(c) - 2*v(c)?\nAnswer: -c**2 + 5*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 98 and 13139?\nAnswer: 183946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 11:07 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5\/3 + 13*b**4 + 106*b**3 - 1198*b**2\/3 + 427*b - 147.\nAnswer: (b - 1)**3*(b + 21)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 576098011 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 12. Suppose 29*k = 100*k - 22*k. What is g(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 2:42 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 196.1677 and 24?\nAnswer: 172.1677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 5*u + 2. Let i(o) = o**2 - 9*o + 2. Let w(j) = 7*j - j - 4 + 2*j - 4*j. Let m be w(3). Let v be i(m). Calculate p(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/27, -0.5, 1.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 87980\/27666 - 6\/87. What is the nearest to 1\/7 in -0.1, y, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 20 = 0, -z = -1028*s + 1024*s - 618. Let l be (1 - -6)*2\/1. What is the highest common divisor of l and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**2 - 12*h + 341. Let b be l(0). Solve b = 5*y + 361 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -542*p + 537*p + 4*i + 153163, -p = -4*i - 30639. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10244*t**2 - 6816*t + 6816*t - t**2 + 4*t**2 - 2*t**2 + (t - 3*t + 0*t)*(0*t - 4*t + 2*t) - t**2 + 3*t**2 - 3*t**2.\nAnswer: -10240*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 3*w**2 - 4*w. Let b be d(-4). Let q = -742 - -752. Suppose q*g - 5*g = b. Solve g = x - 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14\/5 - 2\/5*t**2 + 16\/5*t.\nAnswer: -2*(t - 7)*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5 - 0.5. Let m = 1.9 + x. What is the nearest to m in -4, 1\/6, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 126521535?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + -1)*(-4)\/(-78). Let i = -39 + 34. Suppose 3*d + d - 7 = 5*o, d = 4*o - 1. Put i, w, o in ascending order.\nAnswer: i, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q**4 - 64*q**3\/3 - 40*q**2 + 1600*q - 410. Factor l(y).\nAnswer: -4*(y - 4)*(y + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28055676 to the nearest integer?\nAnswer: 5297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + f + 4 = 0. What is the second derivative of -f*w - 11*w - 20*w**5 + 25*w**5 wrt w?\nAnswer: 100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12856 - 12836. What is the least common multiple of 3315 and g?\nAnswer: 13260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8631 + 4848. Let j = r - -7566. Suppose 3*k + 0*k = j. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -1.3, 0.05, 13742 in descending order.\nAnswer: 13742, 2, 1, 0.05, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + -29 - (-9 + 10 - (-5 - -4 - 3)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 3:01 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 217 - 214. Suppose -1001 = -2*d - i, -18*d - 2508 = -23*d + l*i. What are the prime factors of d?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199710.\nAnswer: 2, 3, 5, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.9257872t?\nAnswer: 925787200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 33*b**2 + 83*b - 947. Give g(-29).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 728806 divided by -13\nAnswer: -56062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - 5. Find the common denominator of -8\/3 and 2*3\/(-28)*h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 6 = 0, -p - 2*w + 0 = 1. Suppose 5*n = 2*a, 4*a - 2*a = 2*n. Suppose a = 4*j - 7*j. Solve j*q = p*q + 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 7:05 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -6 - (3 - 12 - 2) - (-1 - 5).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t = 2274 + 11559. Let n = t - -1037. List the prime factors of n.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (78 + -82)*(-6)\/16 - 189\/(-42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 222 = 2*w, -4*h + 6*h - 93 = -5*w. Let q be (h\/6 + -8)\/(2\/6). Let t(f) = 2*f - 4. Let b be t(4). Solve 0 = -b*j - 2*c, 4*j - q*c + 9 = -11 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 193.0002068 + -193. Round w to six dps.\nAnswer: 0.000207","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2)\/((-44)\/(11264\/(-120))).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -40378.\nAnswer: 4037.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 20911*i - 20909*i. Put i, -20, -11 in decreasing order.\nAnswer: i, -11, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*o + 89*o + 157 - 301 + 153 in the form g*o + r and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -8024961?\nAnswer: 802495b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (1 + 8\/(-4)). Solve -3*d + 4*f + 7 = y, 5*f = -3*d + 22 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 5 (c) -0.5 (d) -1 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -29*u**4\/12 - 83*u**3\/6 - u**2 - 2*u + 3. Find the second derivative of d(i) wrt i.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 a factor of 3508570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20505 and 70530.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 4*o - 5. Let p(d) = 3*d**2 - 31*d - 18. Determine -4*c(u) + p(u).\nAnswer: 7*u**2 - 15*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 27*s**2 + 4*s - 6. Calculate j(27).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvvommomovovoov. Give prob of picking 2 v and 2 m.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, f: 1, e: 2}. Give prob of sequence fee.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 826989?\nAnswer: 3, 181, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 3460?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*p**4 - 2*p**3*w - 3*p**2 + 2*p*w - 236*p wrt p.\nAnswer: -72*p - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = 4*k - 2*q, 3859 = -5*k - 5*q + 3989 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16*3.5483.\nAnswer: 0.567728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 2 + 1, 4*c = 2*y + 4. Let r = 121 + -105. Suppose -64*j + 60*j + r = 0. Calculate the highest common divisor of y and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wilr when four letters picked without replacement from olrlllloiorworlwld?\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 48780 and 0.4.\nAnswer: 19512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (81\/(-7))\/((-13)\/455). What is the highest common factor of i and 3510?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6222 minus 0.4?\nAnswer: -1.0222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 12234\/13, -0.4, -3, -1\/8 in increasing order.\nAnswer: -3, -0.4, -1\/8, 12234\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 139\/111?\nAnswer: 139\/111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*n**2 + n**2 + 4*n**2)*(-61 + 12 - 4) to i*n + c*n**2 + y and give c.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**2 + 2*w. Let p(q) = 65*q**2 + 45*q. Calculate 45*l(n) - 2*p(n).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -37\/30*s**6 - 31*s + 0*s**4 + s**2 + 0 + 0*s**3 + 0*s**5. Differentiate r(g) with respect to g.\nAnswer: -148*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n - 32. Let h be w(13). Suppose 17*c = 118 - h. What is the second derivative of c*z**2 - 10*z - 35*z + 21*z - z**2 wrt z?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3039059, 6078087, 9117115?\nAnswer: 12156143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26.2 and 49.\nAnswer: -1283.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, h: 2, r: 2, w: 1}. Give prob of picking 1 r and 1 w.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4695, -8525, -12355, -16185, -20015?\nAnswer: -23845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 0 - 9\/2*h**2 + 2*h - 1\/12*h**4 - 5\/2*h**3. Let v be j(-13). What is the highest common factor of v and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93164.\nAnswer: 2, 23291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/2)*t)**(2\/129)\/((t*t**(-1\/5)*t)\/t*t**(2\/11)\/t))\/((t*t**(6\/11))\/((t\/(t**(1\/7)*t))\/t)*(t**(2\/9))**(15\/2)) assuming t is positive.\nAnswer: t**(-214232\/49665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**5 + 243*d**4 + 699*d**3 - 243*d**2 - 702*d = 0.\nAnswer: -78, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2157 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 2 = 4*v - 14, s - 2*v + 6 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 + (124\/6 - 200\/120))*-13.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 33\/5 of a meter?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31589822 + -21?\nAnswer: -31589843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -113, -275, -547, -929, -1421?\n\"Answer: -55*m**2 + 3*m - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 0 - 6 = 4*d, 0 = 2*d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5590)\/(-13975)*((-2)\/(-8) + ((-50)\/24)\/5).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**3 - z**2 - 10*z + 11. What is q(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8207, 8599, 8835, 8837, 8527, 7827?\n\"Answer: -13*n**3 + 483*n + 7737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 - 1 + 6 + 13 + 21*p with respect to p.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -2) + (-6)\/9. Let h be 2 + (7\/(-2) - 0). What is the third biggest value in k, h, 2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a. Let b(o) = -18*o**2 - 4*o - 66*o**2 + 10*o - 12*o + 3*o. Give b(m(p)).\nAnswer: -756*p**2 - 9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u\/(u\/u**2)*u)*u\/u**5)\/((u\/(u**(1\/4)\/u))\/u**(-1\/3)) assuming u is positive.\nAnswer: u**(-109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 744586 to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 296 and 26977144?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 - 12*a**3 - 27*a**3.\nAnswer: -38*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1941?\nAnswer: 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yooyoyyooo.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 108*m**4 - 418500*m**3 + 540283212*m**2 - 232020507244*m - 466205497064.\nAnswer: 4*(m + 2)*(3*m - 3877)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 5 - -1 - -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8177 rounded to 2 dps?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u + 294*u**2 - 389*u**2 + 633*u**2 + 937*u**2 - 2 to the form g*u + n + y*u**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*l**2 + 42*l + 3*l**2 - 8*l - 18*l + 34*l to z*l + a + o*l**2 and give z.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 5*u + 19, 4*u + 5 = 5*s + 9*u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 15 = 0, -s + z = -5*s + 21. Let m(b) = 3*b**3 + 4*b**2 + 4*b + 4. Let d(w) = 8*w**3 + 11*w**2 + 11*w + 11. Give s*d(f) - 11*m(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5638285 or 4.2?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 43, 81, 119?\n\"Answer: 38*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48) - (sqrt(48) - ((sqrt(48) + -2*sqrt(48) + sqrt(48))*5)**2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 16*p**2 + p + 16. Let x be a(-16). Suppose x = 9*d - 1379 + 731. What is the smallest common multiple of d and 120?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*y**2 + 3*y**2 - 2*y**2)*(-2 + 2 + 3*y) + 0*y**2 + 4*y**3 - 30*y**3 - 2*y**2)*(-1 - 2 + 4 + 5*y).\nAnswer: -115*y**4 - 33*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -6*g + 7. Let c(j) = 9*j - 11. Let o = -9 + 4. Let y(p) = o*c(p) - 8*z(p). Differentiate y(k) wrt k.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-4)*((-399)\/(-70) + -6)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -36\/25, 0, -1\/6, 0.2?\nAnswer: -36\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 28.766145.\nAnswer: -8.6298435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -42.1. Let y = 37.35 - 43.45. Let v = b - y. Put v, 0.4, -20 in increasing order.\nAnswer: -20, v, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 823504180 to the nearest one million.\nAnswer: 824000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/5)\/y*y)**15*y**1*y*y**(-5))**(-32) assuming y is positive.\nAnswer: y**(-576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 minus -21464.259990171?\nAnswer: 21458.259990171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*m + 64386 = -55*m. Is 85 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-752)\/(-48) - 19)\/(((-10)\/(-36))\/(-1)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.41? (a) 0.22 (b) -4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -12a6?\nAnswer: -12a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*t - 3*t - t)*(-5*t + 2*t + 0*t) - t**2 - 5*t**2 - 2*t**2)*(2*t + 1 - 1)*(-3 + 1 + 1).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 - 12*m + 32. Let d(q) = -3*q**2 - 11*q + 32. Suppose 0 = 19*k - 22*k - 12. Let x(a) = k*d(a) + 5*n(a). What is i in x(i) = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93*(-10)\/12*402\/(-1005).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(7\/2)*z**(-46)\/z*(z**8)**(-19\/3) assuming z is positive.\nAnswer: z**(-565\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 6*l**2 - 8*l - 7. Let c = 3 - 8. List the prime factors of y(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.05 + 11. Let k = -0.05 + i. Let g = -0.101 - k. What is g rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703098619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 2*s + 10, -29 = 4*s + 13*p + 16 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 269420.2l to millilitres.\nAnswer: 269420200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 42*h**2 - h - 1. Let q(x) = -17*x**2 + 1. Give -2*n(c) - 5*q(c).\nAnswer: c**2 + 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tigiitgtnciictgciit. What is prob of sequence in?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 22208?\nAnswer: 66624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 - 44. Let d(b) = -2611 - 2*b**m + 2611. Let i(v) be the second derivative of -v**4\/6 + v. Give i(d(x)).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -235665876*x**4 - 280203*x + 28 wrt x.\nAnswer: -2827990512*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 times -4445.2?\nAnswer: 533.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80992 - -80995. Solve 0 - 8\/3*n + 2*n**2 + 14\/3*n**d = 0 for n.\nAnswer: -1, 0, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 4.91?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -575*u - 8*u**2 - 611*u + 9*u**2 + 1186*u.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 take away 254710?\nAnswer: -254709.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1670 + 8*g + 834 + 838 - 15*g**2 + 51*g**2 as c + a*g + p*g**2 and give p.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*c = c + 23, 15 = 3*c. Let v(t) be the first derivative of -t - 4 - 3*t + 3*t**h + 2*t**3 - 3*t**2 + t**2. Determine k so that v(k) = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4\/(-28)*0 + 537 + -7 and 371.\nAnswer: 3710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.193 - 0.16. Let s = t - -0.067. Sort 1\/7, 10, -0.3, s in decreasing order.\nAnswer: 10, 1\/7, s, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 11) in base 6?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17 and -0.2.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from thptjnhphhjw?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1900) + (sqrt(1900)*-1)**2) + -1.\nAnswer: 50*sqrt(19) + 9499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.8 + -1.9. Which is the nearest to o? (a) 0.2 (b) 2\/15 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 + 43. Let a(f) = 3*f**2 + 54. Determine h(a(r)).\nAnswer: 18*r**4 + 648*r**2 + 5875","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(16\/6))\/(132\/1320)*84\/6.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 + 6*p + 1. Let s = 3 + -1. Let x = s + 3. What is the least common multiple of x and j(-4)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from baeateteeetebbbbeu. Give prob of picking 1 t and 1 e.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g + 4 - 5*g + 2*g. Let b be t(-3). Suppose -b = -q + 1. Calculate the remainder when 5 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4189470 divided by -10?\nAnswer: 418947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/38, -2, 168, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**3 - 4*k**2 - 3*k + 7. Let g(u) = u**3 + 2*u**2 + u - 4. Give 7*g(p) + 4*j(p).\nAnswer: -p**3 - 2*p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -3\/2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -8. Let h be -2 + (-6)\/(-2) + f. Suppose -s - h = -4*s - 4*j, -5*j - 13 = s. 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 next term in 19070, 37890, 56464, 74792, 92874?\nAnswer: 110710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*z**3 - 5036 + 3822 + 1214 + 41*z**3.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*y + 105*y - 21238. Does 41 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/9 in -2\/11, -298, -0.019, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43.4 + -50. Let r = -6.59973 - s. Round r to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.042005 nanograms in milligrams?\nAnswer: 0.000003042005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -1\/4 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -1\/9, 3\/20776, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - -4. Suppose -s + 115 = -6*s. Let y = s + 54. Solve 3*r - 5*q = y, -r - 5*q - 13 = w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*k + 14, 3*w + 2*k - 5*k - 27 = 0. Let h = w + -3. Let m(l) = 9*l + 856. Let f be m(-94). Solve f = 2*z + c, 24 = -z + h*z + 3*c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -84*q**2. Let w(i) = -5*i + 5. Let x(d) = -12*d + 14. Let l(t) = 14*w(t) - 5*x(t). Determine g(l(n)).\nAnswer: -8400*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (29\/((-1015)\/84))\/(6\/(-260)). Suppose 0 = -3*i + 4*l + l + 59, 3*i + 5*l - 19 = 0. What is the highest common divisor of m and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/7 - 1)\/(71 + 3480\/(-48)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 4*n - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 38*d + 553. Calculate n(-14).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 1.972156?\nAnswer: -3.027844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394357 is divided by 394295.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 5*l + 25 = 14*u, 0 = 3*u + 4*l - 20. Let a be (4\/(-6))\/(1\/(-3)). Factor -2\/5*g**4 + u*g + 2\/5*g**3 + 0 + 0*g**a.\nAnswer: -2*g**3*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -334\/143 - -28\/13. Let h = -942\/5 - -2806\/15. Sort h, j, -2, 0.3 in decreasing order.\nAnswer: 0.3, j, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1003497464 to the nearest integer?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*k**3 - 70*k**2 - 134*k + 2 wrt k.\nAnswer: -42*k - 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -47\/2, -40, -5?\nAnswer: -47\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 3*m**2 - 2. Let w be v(3). Is 1 - -1*(42 + w) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 33117*d + 132516.\nAnswer: -3*(d - 11043)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 92*l - 162*l + 1820 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (2 - 1) - 1*5. Let v(a) = -7*a**3 - a**2 + a + 1. Let k be v(-1). Let u = k + d. What is the smallest common multiple of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 4*f + 23 + 44 + 33 = 29 - 52, -f + 33 = -r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*i + 2. Calculate the remainder when 76 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 2 - 22. What is the tens digit of (194\/p)\/((-10)\/25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(120)*3)\/sqrt(3))\/(sqrt(128)*3).\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -230203077 to the nearest 100000.\nAnswer: -230200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -9. Suppose -k - 24 = -0*k + 4*d, i*k + 6 = 2*d. Let m(h) = 3*h + 5. Determine m(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 96 = 239 - 103. Solve -5*m = 65*b - 61*b - v, 2*m + 4*b - 4 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 1 = 3*o - 11, 15 = 3*h. Let m be o\/(((-9)\/2181)\/3). Suppose 5*d = m - 267. Is 24 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10*(1 + (1 - 0)). Suppose 26*l + 378 + 892 = -706. Let b = s - l. What is the remainder when b is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -22. Let d(l) = -5*l - 68. What is the remainder when d(-22) is divided by j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1 (b) -6 (c) 0.1 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -708\/295619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cklicnclkllll. What is prob of sequence lkin?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 4 + 3. Suppose -19 = -4*v - 2*h + s*h, -32 = -5*v - 2*h. Calculate the smallest common multiple of v and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 7 = -3*a + 4*t, 17 = 5*a - 2*t. Suppose a = 4*s - 41. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -890, -942, -988, -1028, -1062, -1090?\nAnswer: -1112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -117634\/47523 - 2\/2263. Let s = w + 22\/7. What is the nearest to s in 5, -5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1\/4 (b) 3\/11 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -90, 5\/3, -0.4, 154\/3, 0.3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -1148?\nAnswer: 1\/1148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - v = 45. Let n = v + -27. Suppose 58 - n = 4*w. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/224 + 351\/5670. Put -6.15, -5, u in descending order.\nAnswer: u, -5, -6.15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**3 + 13542*u**2 - 45819345*u - 183494116 = 0.\nAnswer: -4, 6773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6943 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1\/4 (b) -2\/5 (c) -60\/17 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0 (b) -1\/5 (c) 105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 186 = 3*a, 0 = -4*a + 10 - 26. Suppose 15*y + 259 = -5*t + 19*y, -2*y - 283 = 5*t. Let r = t - s. Sort r, -8, -3 in descending order.\nAnswer: r, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -240 - -254. What is the remainder when 81 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**3 + 450*w**2 + 5935*w + 375. Give i(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Sum -52 and 44621794.\nAnswer: 44621742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85*q - 550*q**2 - 229*q + 819*q wrt q?\nAnswer: -1100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39661905 - -0.0365.\nAnswer: -39661904.9635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427715635.\nAnswer: 5, 29, 2949763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 225384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -2*g**3\/15 - 94*g**2\/5 - 4418*g\/5 + 34. Factor d(q).\nAnswer: -2*(q + 47)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 > 247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4833.95 days?\nAnswer: 417653280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 19.9. Let l = -8827\/3840 + -1\/768. Let x = 14\/5 + l. Is x <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1020*y**3 - 569*y**3 - 1549*y**3.\nAnswer: -3138*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 12:30 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -2180788.4 to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**2\/23 + 6*m - 70\/23 = 0.\nAnswer: -35, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07893126 to 3 decimal places.\nAnswer: -0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)*n**(-3\/7)\/n)**(-3\/22) assuming n is positive.\nAnswer: n**(57\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - u + 19, -2*w + 3*u = 7*u - 6. Suppose x + 0*x = -3, w*y - x - 8 = 0. Are 2\/7 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2702221639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 6:16 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7317, -14420, -21537, -28674, -35837, -43032, -50265?\n\"Answer: -v**3 - v**2 - 7093*v - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 170 + -327\/2. Solve z*f**3 + 0 - 7\/4*f**4 - 2*f - 5*f**2 = 0.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1979\/519 + 1178180\/352401. Let b = 4\/97 + x. Put 2\/7, -1\/6, 0, b in increasing order.\nAnswer: b, -1\/6, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -41*f**2 - 13*f**2 + 10*f**2. Let y(t) = -2*t. Calculate h(y(m)).\nAnswer: -176*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3783 + -3759. Let b(x) = -6*x - 4. Let f be b(-3). Is w bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 + 395*u**3 - 2080*u**2 + 1680*u.\nAnswer: 5*u*(u - 4)*(u - 1)*(u + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5756*k**2 - 4278*k**2 - 4941*k**2 + 16560*k**2 - 3847*k**2.\nAnswer: -2262*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(98)*-1 + sqrt(98) + 0)*-1.\nAnswer: -28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 20*y + 200. What is the remainder when p(39) is divided by 237?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 2*r**3 - r**3)*(1093 - 1921 - 940 - 2206 - 1131).\nAnswer: -10210*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 454\/119 - 60\/17. Let v = -0.04 - -0.1. Let l = 0.36 - v. What is the closest to 0.1 in t, l, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1032020 (base 6) to base 10.\nAnswer: -50988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**2 - 27*y**3 + 5*y**2 - 3*y**2 + (-2*y + 2*y - 2*y**2)*(y - 3 + 3) as g*y**2 + c*y**3 + x*y + b and give c.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 174463 * 185.\nAnswer: 32275655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-475)\/2*8\/(-10)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/y**1)\/y))**(3\/4)\/((y**(1\/10)\/y)\/((y\/y**5*y)\/y))*(y**(-1\/8)\/y*y**(-2\/13))\/(y**(2\/9)*y**(-1)) assuming y is positive.\nAnswer: y**(-9833\/4680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 113715 and 588240.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -3*v**4\/2 + v**2\/2 - 6. Let i be c(1). Let q be 4*(60\/(-16))\/i. Solve 4*p = -p - q*g - 35, 16 = p - 4*g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 12:39 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18699?\nAnswer: 3, 23, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -103, -184, -265, -346?\n\"Answer: -81*r - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -45*(-30)\/270*(-6)\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 272\/(-48))*18?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**2\/13 + 240*g\/13 + 242\/13 = 0?\nAnswer: -1, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 25 = 5*g, 5*g + 3*w - 25 = w. Let p = 7 - 4. Suppose 2*f - 7 = -p. Solve -f*z - d = -g*d - 8, 0 = -z - d + 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4595*w + 4596*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 3:30 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 0 - (21 + -11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -375465702, -750931397, -1126397092, -1501862787, -1877328482?\n\"Answer: -375465695*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -135 - -286. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7704 and 5778.\nAnswer: 23112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2006 - -18104\/9. What is the common denominator of p and -38\/479?\nAnswer: 4311","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2.13 (b) -4 (c) 1 (d) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/18 and -49\/65?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**4\/6 + 5*z. Let o(g) = g. Let v(n) = 8*n. Let t(u) = 6*o(u) - v(u). What is f(t(x))?\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + q - 22, -x = 3*x - 3*q - 10. Suppose 0 = 2*c - 6, 62 = z - x*c - 22. Calculate the highest common divisor of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69823*q = -69809*q - 84. Suppose -5*a = -3*y + 301, y = -3*y + 4*a + 388. Calculate the lowest common multiple of q and y.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -17. Let m = 6 - u. Let c be -2 + 1\/m*-10. Solve 15 = -6*r + c*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, f: 5}. What is prob of picking 4 f?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18772135*b**3 + 2*b**2 - 11613*b + 14 wrt b.\nAnswer: -112632810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 4*n - 2. Let m be h(5). Let b = 3107 - 3103. Put b, m, -8 in descending order.\nAnswer: b, m, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68295.2 - -68295. Let m = 0.1 - 0.2. Which is the third biggest value? (a) m (b) p (c) 6 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86 + 123. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -528 (base 11) to base 6\nAnswer: -2535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -91452042, -91452044, -91452048, -91452054, -91452062, -91452072?\n\"Answer: -v**2 + v - 91452042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3132)\/7548 + (-16 - (-4384)\/272) and (1 - 2)*34\/(-14).\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + s. Let j(t) = t**3 - 2*t. Let y(w) = -5*w**3 + w**2 + 7*w. Let h(b) = 6*j(b) + y(b). Determine h(m) + 5*x(m).\nAnswer: m**3 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 - 0.57. Let n = 0.14 - c. Let q = 0.31 - n. What is the nearest to q in -4, -0.4, 15\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 3. Let n = -273 + 277. Solve 0 = -k*w + n*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2054676033 to the nearest integer?\nAnswer: 45329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - l - 1. Let w(x) = 7*x**3 + x + 6. Let v(n) = -3*d(n) - w(n). Let y be -8 - 5\/(75\/(-5))*3*10. What is v(y)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*g - 1 = -0, g = 5*n - 45. Suppose n*u - 3*u - 10 = 0. Let j be (-9)\/24*2*-8. Solve 16 = j*k - u*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -11 + 0*k + 0*k**2 + 2\/3*k**3. Let d(n) = -3*n**2 + n. What is d(v(m))?\nAnswer: -12*m**4 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 807356.8um?\nAnswer: 80.73568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7*c + 15 = 0. Let w be c + -6 + -2 + 2. What are the prime factors of w\/15 - 104\/(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0.835817946617.\nAnswer: 2.835817946617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/5239269 and -37\/304931?\nAnswer: 57631959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4092596647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 70 = g, -6*o + 80 = -2*o - 4*g. Suppose 4*z + o = 9*z. Suppose 0 = 3*a + z*n - 135, 3*n + 90 = 5*a - 143. What are the prime factors of a?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -0.7 (b) 1\/57 (c) 5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 minus 10633?\nAnswer: -10495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/(2 + -9 - (24 - 33)). What is the highest common divisor of i and 24276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20463 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + t - 5*a + 83 = 0, 5*t + 3*a = 160. Calculate the remainder when t is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 481 in -3, -14, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + w - 2. Let s(p) = -2*p - 7 - 2 - 2*p**w + 7 + 4*p. Let h be (8\/10)\/(-2)*-5. Give s(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37275389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gnlb when four letters picked without replacement from xbblhblbgnhgb?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 108. Let t = -89 + w. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b47cca (base 13) to base 14\nAnswer: 12b56db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - -76) + (1 - 0) - (1575 + -1584).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -1. Let g(v) = -8*v**2 + 5*v - 10*v + v**w + 12*v. Let f be g(7). Sort -5, f, 5 in increasing order.\nAnswer: -5, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u**2 - 25*u**2 + 29*u**2.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in -6.4, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 12:46 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -212110140 (base 5) in base 14?\nAnswer: -193d52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/13 - 35346*s**2\/13 - 35344*s\/13.\nAnswer: -2*s*(s + 1)*(s + 17672)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1247 = 22*w + 94*w - 435. Let z(s) = 35*s - 2. Let o(m) = -105*m + 6. What is w*z(v) - 2*o(v)?\nAnswer: -35*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 9, -340, -1089, -2370, -4315?\nAnswer: -7056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4*m = 22, -8*m + 18 = 4*f - 10*m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -45252 and -45244 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111860 and 393890?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*g + z - 546, g = 3*z + 174. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*(-1 + -2 + 2). Let f = -2 + j. Solve 7*r = f*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 105\/208 + -9\/13. Find the common denominator of 123\/20 and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/(-2) - -2*1. Suppose 0 = -4*g - 20, -2*o = -0*o - 2*g - t. Suppose 0 = o*i + 29 - 95. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6984 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20565*f**2 + 20620*f**2 - f + 6*f.\nAnswer: 55*f**2 + 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*z - 1. What is the second derivative of -2*x + x + 85*x**2 - 4*x - 90*x**z wrt x?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -7*g**3 - 5*g**2 + 5*g - 3. Let p(d) = 5*d**3 + 6*d**2 - 4*d + 3. Let h(x) = 3*o(x) + 4*p(x). Calculate h(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -115, -141, -129, -67?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 152*g + 11090. Calculate r(-85).\nAnswer: -1830","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z - 4. Let m(f) = -3*f**2 - 5*f - 11. Let v(b) = 2*b**2 + b + 1. Let u(j) = m(j) + 2*v(j). Determine -3*u(a) + 7*x(a).\nAnswer: -3*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9078372?\nAnswer: 2, 3, 84059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/(52\/(-24)) - -2249. Suppose 15*j - 20*j + p = 0. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*i + 20. Let l be (i - -19)*1\/3. Suppose -2*a = -3*n - 15 + 7, -3*n - l = a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106141947 to the nearest integer?\nAnswer: 10303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fllfllbf. What is prob of sequence fl?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*j + 38 - 104 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -4\/7*j**2 + 2\/7*j + 7 - 2\/7*j**4 + 2\/35*j**5 + 4\/7*j**3. Find z such that d(z) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (7*(-11)\/(-924))\/((-3486)\/(-570)) and 32\/249?\nAnswer: 6972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8488.\nAnswer: 2, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 4*y + 8, -9*x = -8*x + 2*y + 2. Let q be (-185)\/x*(-8)\/(-5). Let j = -104 + q. Calculate the smallest common multiple of j and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5748, 5991, 6662, 7977, 10152, 13403, 17946?\nAnswer: 23997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 7*o**2 + 5*o - 3. Let h be 1\/(-3*1\/(-3)). Let b(k) = -4*k**3 - k**2 + 1. Let q be b(h). Is v(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 5*m**4\/4 + m**2\/2 + 5. What is the second derivative of g(k) wrt k?\nAnswer: 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*y + 5880 = -12*y for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z + 18*z + 180 = -50*g + 41*z, 36 = -5*g - 4*z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131916 - 65973 + 3*g - 2*g - 65943.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27677 equal to 27643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k - 5 - 11*k**2 + k**3 + 5*k + 5*k**2. List the prime factors of g(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*c = 310, 0 = 2*a + 2*a + c - 396. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/4)*o*o*o*o**(1\/6))\/(o**(-5)\/(o\/o**(-2)*o)) assuming o is positive.\nAnswer: o**(149\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18b + 0?\nAnswer: -18b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 136828571213 + -0.9\nAnswer: 136828571212.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 46 = -357*s + 349*s, 5*r + 25 = -3*s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 12:58 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from {l: 1, o: 1, a: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*g + 2*g. Let f = -159 - -162. Let j be 3\/f*-3 + 2 - 2. Sort -3\/5, g, 1\/8, j in descending order.\nAnswer: g, 1\/8, -3\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -1825*x + 606*x + 610*x + 611*x. Let v(l) be the first derivative of 2\/3*l**3 + 8*l - 4 + 0*l**2. What is v(u(s))?\nAnswer: 8*s**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 424971961 to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5735*s - 621*s - 343224 = 0 for s.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q**3 - 55*q**2 + 338*q - 3. Let y(x) = x**3 - x**2 - 1. Let f(i) = j(i) - 3*y(i). Factor f(p).\nAnswer: 2*p*(p - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1347268 and 481?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 355*c**4 + 4*c**3 - 2*c**2 + 6*c - 334535.\nAnswer: 1420*c**3 + 12*c**2 - 4*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42577, -170291, -383143, -681133, -1064261, -1532527, -2085931?\nAnswer: -2724473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 348 = -0*f. What are the prime factors of f?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1033 (base 5) to base 8\nAnswer: -217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31 and 79?\nAnswer: -2449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 4:20 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - (-71232)\/(-4158)) + 2\/(-22)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70366 = 70364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u**5 - 20*u**4 - 8120*u**3 - 80160*u**2 - 167440*u - 78400 = 0.\nAnswer: -14, -10, -2, -2\/3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 100661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39? (a) 5 (b) -46 (c) 32\/13 (d) 22 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 220 = -14*f. What is the remainder when 33 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 16*v - 324. Let d be b(20). Sort -2, d, 1, -322 in ascending order.\nAnswer: -322, d, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11651632 divided by -2\nAnswer: -5825816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18059541 to the nearest integer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35786 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012903822 to 6 dps.\nAnswer: 0.00129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 125970?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50.1 + -50.10768. Round u to 4 decimal places.\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -37*w**2 + 17*w + 90. Let v(h) be the first derivative of -28 - 3\/2*h**2 - 15*h + 2*h**3. Let i(f) = 6*l(f) + 34*v(f). Differentiate i(a) wrt a.\nAnswer: -36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c. Let u(k) = k. Let t(z) = b(z) + 5*u(z). Suppose 10 = -w + 4*g, 2*w = -0*w + 4*g - 8. Let d(s) = 14*s - 2*s**2 + 5*s**w - 14*s. Give t(d(i)).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -461, -1855, -4181, -7439, -11629?\nAnswer: -16751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*w - 10 = 4*w, 5*w - 22 = q. Let n be (-452)\/(-14) - (-2)\/q. What is the highest common divisor of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u - 7. What is q(6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**4 + 4*t**3 + 2*t**2 - 12*t - 16. Find o such that j(o) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, -1, 45, -2\/93?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u - 4 - 6*u - 15*u - 6*u to g*u + j and give g.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61555857 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a = 11*a + 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2383962*n**3 + 130662*n**2 - 6*n + 1 wrt n?\nAnswer: 14303772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r + 3*r + 2*r + 2*r + 0*r + 0*r + (2*r - 3 + 3)*(5 + 0 - 2))*(-5*r**3 - r**3 + 2*r**3).\nAnswer: -76*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nata when four letters picked without replacement from {n: 1, j: 2, a: 7, t: 4, e: 6}?\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69938068.\nAnswer: 2, 17, 47, 79, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60386760 divided by 486990.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**5\/11 + 3922*y**4\/11 - 47436*y**3\/11 - 165820*y**2\/11 - 173654*y\/11 - 59190\/11 = 0.\nAnswer: -1973, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21531 is divided by 3072.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -485533, -485433, -485333, -485233, -485133, -485033?\n\"Answer: 100*x - 485633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -6281.7?\nAnswer: 3140.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -3332103\nAnswer: -6664206","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-6*(-3 + (sqrt(1584) + -4 - sqrt(1584))**2)*-2*5.\nAnswer: 2340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 2*u + 17. Let b be (-4)\/((-8)\/6) - -3. Let z be h(b). Let d = 45 + z. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 + -33. Let f = r + 5. Let p be f\/2*18\/9. Solve v = z - 3, p*v + 20 - 7 = -z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-18) - (2 + 104\/(-63))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1154805 weeks to microseconds.\nAnswer: 69842606400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2142 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 777*n - 1513*n - 2*n**3 - n**3 + 5*n**3 + 626*n.\nAnswer: 2*n**3 - 110*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 151 + -4. Calculate the remainder when x is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -6, -3, 10, 39, 90, 169?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 5 (c) -4 (d) 10\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327*b + 186 + 2103 = 0. Sort 5, -67, b.\nAnswer: -67, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a hour in minutes?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(57)\/sqrt(3)*4.\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, 0, -4, 24, -8 in decreasing order.\nAnswer: 24, 8, 2, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22871 = -23*t + 22434 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - f = 4, -6*b - 5 = -b + 5*f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 656726 - 656897.9842. Let c = 172 + t. Round c to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 17. Suppose -8 = -4*p, -3*s - 2 = -z*p - 1. Solve 3 = m + s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-3\/7))**(-1\/9)*((s\/(s*s**(-14)))\/s)**(-1) assuming s is positive.\nAnswer: s**(-823\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-17 - (-17 + 5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 373007 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: Let s(q) be the second derivative of -25*q**3 - 97*q**2\/2 - 3*q + 6. Is s(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - (sqrt(20) + 0)) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-12)*10\/(-3). Suppose p*s = 5*g - 25, -2*g - g = 3*s + 15. Solve g = c - 2*c + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (1 - -3 - (4 + -7))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*c - c - 2*c)*(c + 1 - 1)*(22*c**2 - 1962*c + 1957*c - 315 + 318) to i*c**3 + l*c**2 + d*c**4 + g + m*c and give d.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.1, 10\/19, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*f - 16*f + 10*f to the form o*f + r and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 17*b - 457. Let t = -26791 - -26817. Calculate r(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-4 - -5) - (-13 + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-3.534315.\nAnswer: -14.13726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 1.1, 223, -7, 3.02 in descending order.\nAnswer: 223, 3.02, 1.1, 1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 668*u**2 - 2720*u + 2736.\nAnswer: 4*(u - 2)**2*(u + 171)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {m: 5, g: 2, c: 4, j: 7}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 231 and 10?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 5:01 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w + 8*w + 0*w.\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10396460?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-4) - (-23)\/4. Suppose -l = -2*l + t. Let a(h) = -l*h - 2*h + 4*h. Give a(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59778 and 2050.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 6:20 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 11:58 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k - 11. Let d be w(8). Find the third derivative of 8*g**2 - g**2 - d*g**2 + 17*g**6 wrt g.\nAnswer: 2040*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 123 - 102 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 4. Let n = -41 - -42.04. Let u = n - 0.04. Which is the closest to 1\/4? (a) u (b) g (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - o + 1. Let i(u) = -106*u**2 + 5*u - 3. Let f be (3\/9)\/((-6)\/18). Let g(t) = f*i(t) - 3*d(t). Is 12 a factor of g(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*p - 133, 5*p = -x + 103 + 33. Let b = p + -12. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, -0.4, -4, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-59 + 51 - 79)*(-b + b + b)*(0*b + 0*b - b) to the form z*b**2 + f*b + x and give z.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/9)*t)\/t**4)**(-9) assuming t is positive.\nAnswer: t**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 - 48*c**3 + 13*c**3.\nAnswer: -33*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-5)*1*14\/7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k**2 - 37*k + 94. Calculate the lowest common multiple of 20 and p(29).\nAnswer: 9540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -22*z + 7*z + 13*z + 8 + 1. Let b be x(4). Suppose -4*a - 3*h = -19, 5*a - b = 2*h - 6. Which is smaller: -2\/13 or a?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 14) to base 7\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + g - 4*g)*(3*g + 6 - 8 + 3*g**2 - 2*g) + 2*g**2 - 2*g**2 + 2*g**3 + (7 - 4*g - 7)*(2 + 3*g**2 - 2) + 2*g**3 + g**3 - 2*g**3.\nAnswer: -6*g**3 + g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/4 and 59\/84202.\nAnswer: 168404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282 - 282 - 49*y**2.\nAnswer: -49*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j + 33 = 5*b, -5*j - 3*b - 13 = -19 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 30. Suppose 2*c = 8*c - 186. Calculate the remainder when c is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6*s**2 + 10*s - 10. Let u(i) = 2*i**2 + 3*i - 3. Let d = -61 + 64. What is d*c(p) - 10*u(p)?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9261*p = 30272*p - 273143 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2887\/12 - -1013\/4. Let z = l - 155\/12. Which is the closest to z? (a) -2 (b) 5\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(2\/5)*s)*s)\/s)\/s**(-5\/6)*s**(2\/69)*((s**(-25)*s)\/s)\/s assuming s is positive.\nAnswer: s**(-17621\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, c: 5}. Give prob of picking 2 c.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -916 - -c?\nAnswer: -909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5236 + 9088 + 11956 = 365*t for t.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 20100020?\nAnswer: -20100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 396222 - 642672023\/1622. Find the common denominator of a and 59\/20.\nAnswer: 16220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/56 and 37\/20610.\nAnswer: 577080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k - 7*k + 2*k.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19\/(-3) + 2\/(-3). Let n = -20 + 202. Suppose -9*w - 173 + n = 0. Put w, k, 0, -4 in increasing order.\nAnswer: k, -4, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 72?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 598*z**5 - 33*z**2 + 10*z?\nAnswer: 35880*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**8\/560 - y**6\/360 - y**3\/3 - 4*y. Let u(r) be the second derivative of t(r). Find the third derivative of u(n) wrt n.\nAnswer: -72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 146, 145, 144, 143, 142?\n\"Answer: -k + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/323 - 10628541\/2123079.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmmm when four letters picked without replacement from {k: 6, m: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7696 = 80*r + 142*r + 1149*r + 3272 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -336376 divided by 336376?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -49.27 times 1\nAnswer: -49.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/7 + 54*s**3 + 1050*s**2 + 7154*s + 16464.\nAnswer: 2*(s + 7)**3*(s + 168)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -5, -60.\nAnswer: -60, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4\/3 + 4*n**3\/3 - n**2\/3 - 4*n\/3 = 0 for n.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a - 8*s + 8*s = -4*s + 206, -16*a - 2*s = -3*s - 51 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 473719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**3 - 3*x**2 - 2*x. Let a be v(2). Suppose a = -5*y + 116 + 4. Suppose -2*l - 240 = -6*l. What is the greatest common factor of l and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -272\nAnswer: 54.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 47 = 38 + 27 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 1398058601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 34 = -3*v - 2*s, -3*v + 5*s = -38. Solve -2*f = 2*i, -5*f + v = 21 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9517, -9519, -9521, -9523, -9525?\nAnswer: -9527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 138075048, 276150094, 414225140, 552300186, 690375232, 828450278?\n\"Answer: 138075046*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 244021200 + -44?\nAnswer: 244021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 198 and 528.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 639 + -390. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*b - 10 = 3*t, 0 = -2*t - 3*b - 2. Let d(a) = -9*a. Let y = -5 - 2. Let s(l) = 5*l. Let k(z) = t*d(z) + y*s(z). Let q(c) = -3*c. Give k(q(r)).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238*f - 390 = 225*f. Suppose -f*d + 5905 = -3335. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1*m)**(2\/97)\/(m**(2\/13)\/(m**(1\/3)*m)) assuming m is positive.\nAnswer: m**(4618\/3783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -338 + 2*v**2 + 81*v**3 - 15 - 264 wrt v.\nAnswer: 243*v**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10, -11, -12?\n\"Answer: -q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.2 times -9?\nAnswer: 766.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -119 - -132. Calculate the highest common factor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527 is divided by 129.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 213, 435, 665, 909, 1173, 1463, 1785?\nAnswer: 2145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/28)\/(6\/(-60)) - -57?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5440 by -64.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (-2)\/1 - -1. Suppose y*q + 20 = 5*u - 3*q, 3*u - 8 = q. Suppose 0 = 2*c - u - 7. What is the least common multiple of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*c**2 - 6 + 32*c**2 - 15*c**2 + 60*c**3 - 11*c - 83*c**3 in the form m + d*c**2 + w*c**3 + q*c and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351120072.\nAnswer: 2, 3, 73, 107, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 2\/7, 8424, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78.54917 - 390389.\nAnswer: -390467.54917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 5*o - 4. Let p be q(5). Let x = -10 - p. Let s be 160000 + x\/(-3) - 2. What is s rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13459 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1331) - -2*1*sqrt(1331)) + sqrt(1331) - sqrt(1331))*1 + -6*-6*(-1 + sqrt(1331)))**2 + -1.\nAnswer: -30888*sqrt(11) + 2025746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -305, -298, -291?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*k + 78 = 0, -5*k = j - 0*j - 4. Suppose -43 - 13 = -j*u. Let h = 44 + -4. What is the greatest common factor of h and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 equal to 615\/58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4234453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1*(1 - 16))\/((-2127)\/(-1418)). Solve 4*j + 1 = -3*c, -z*j - c + 5 = -14*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/8 - 1239*x\/8 + 3085\/4.\nAnswer: (x - 1234)*(x - 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (55 - 57) + 1\/(-2)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -67*d + 4825. Give m(72).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5096.999999174 - -5097. Round r to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 9*b + 1. Calculate v(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192855 and 3870.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.825 times 1?\nAnswer: 4.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -232, -412, -428, -154, 536, 1768, 3668, 6362?\n\"Answer: 21*v**3 - 44*v**2 - 195*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37769325?\nAnswer: 3, 5, 11, 17, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -2.2. Let d(c) = c**3 - 5*c**2 - 14*c + 2. Let w be (3\/3*-3)\/((-21)\/49). Let r be d(w). Sort r, p, -1 in decreasing order.\nAnswer: r, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(180) - (sqrt(180) - (sqrt(180) - sqrt(180)*3 - sqrt(180)))).\nAnswer: -sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 6, 13, -5, -1, -173 in descending order.\nAnswer: 13, 6, -1, -5, -24, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-18) - 203\/(-63). Let l(m) = -4*m**3 + 10*m**2 - 6*m**2 + g*m**2 + 3*m**3 + 4. Let d be l(6). Calculate the highest common divisor of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 556995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5*v**3 + v**2 + v. What is the remainder when 11 is divided by p(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -236 + 241. Solve -2*o + 4*o = 3*f - 6, -i*f + 5*o + 5 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, -48, 1\/7?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -288*n**3*q*t**2 - 2*n**3*q*t - 32*n**3*q wrt t.\nAnswer: -576*n**3*q*t - 2*n**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -7. What is the greatest common factor of g and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 3, 2*u - 5 = -2*u + 5*j. Let f be u - (-2)\/4*4. What is the units digit of (-1)\/((-2)\/156*f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tzlh when four letters picked without replacement from lhtzldhj?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -6*m**6\/5 + 16*m**3\/3 - 3*m. Find the second derivative of t(g) wrt g.\nAnswer: -432*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/32*-12 + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2190960 divided by 765.\nAnswer: 2864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-2)*-2*(-22 + -9). Let u = 536 + p. Is (-7)\/14 + 5\/(-2) + u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -115 - -107. Suppose -5*w - 55 = -5. Let c be (-9)\/w + 4\/a. Is c at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/5)\/(8\/(-40)*-25).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 9891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 118348 a multiple of 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*n**3*o**2 + 11841*n**3 + n**2*o**2 - n**2*o - 159*o**2 wrt o?\nAnswer: 8*n**3 + 2*n**2 - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1541658*u - 1859052 wrt u?\nAnswer: 1541658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(16\/12) + -28 + 3. Which is smaller: r or -20?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2684 (base 13) to base 11.\nAnswer: 4165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 4:47 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1783111 is divided by 3835.\nAnswer: 3671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c - 27. Let d be h(7). Suppose 5*k - 1 = -4*n + 16, 2*n - 21 = -5*k. Suppose -k*y + 24 = 4. Solve -d - y = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -3. Suppose -k - 365 = -5*l, 2*k + 11 = a. What is the highest common factor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16038308 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (54\/63)\/(31\/14 + -2). Suppose 0 = 5*w - 0*w + 2*l - 1, 2*w = l + 4. Sort 0, w, q in increasing order.\nAnswer: 0, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2. Let f(t) = 9*t**2 - 5*t - 25. Let s(g) = f(g) + 2*v(g). Let c be -15 + 8 + 30\/(-6). Is s(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.43 - 0.03. Let k = -416.49 + 416.09. Let p be 1\/(-2) - 1\/(-18). Which is the smallest value? (a) k (b) g (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 3\/2*u**2 + 1\/6*u**3 + 0 - 2*u. What is the units digit of l(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 173*l**3\/3 - l**2 + 1830*l - 2604. What is the derivative of m(x) wrt x?\nAnswer: 346*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 58, 1, 1\/997 in decreasing order.\nAnswer: 58, 5, 1, 1\/997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*b = 0, -14*r + 12*r - 2*b = 0. Which is greater: -1\/14 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 261*w + 262*w - 50 = 0, -c - 24 = -4*w for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -2\/105, 10\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*c + 47 = d, -69 = -4*d - c. Find the common denominator of 49\/20 and -2 - (-194)\/d - 2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 60200*l**2 - 241454660*l + 322626479760.\nAnswer: -5*(l - 4212)*(l - 3914)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven halves of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12*(6\/(-30) + 35\/300). Let f(o) = -8*o**2 - 2*o + 3. What is f(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 f when two letters picked without replacement from tyttftttttyycty?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-912)\/(-95))\/24*15.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 12:09 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 4*k**2 + 3*k + 3. Is v(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 10 + -22 + (-2 - -23)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 620601.6cm?\nAnswer: 6206016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 12793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1797\/1444 - 2\/361. What is the nearest to 1\/4 in 1, 4, -2, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 1. Differentiate 1 + 2*h - 2*h + h - m*h wrt h.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147424763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, -417 in descending order.\nAnswer: -1, -6, -417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + (-12 + 28 - -1) + -5?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*w + 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - -0.38496.\nAnswer: 0.78496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 3*u + 3. Let g(x) = x**2 + 6*x - 3. Let j be g(-6). Let s be b(j). Suppose -s*l - 15 = -4*l. What is the remainder when l is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10408428*y**5 + 8835*y**2 + 26*y + 3.\nAnswer: -624505680*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33495, 66994, 100493, 133992, 167491, 200990?\nAnswer: 234489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -852 divided by 2.\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 3660?\nAnswer: 25620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1. Let q(d) = 26*d - 8. Suppose n - 18 = -13. Let w(l) = n*z(l) + q(l). What is the first derivative of w(f) wrt f?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 + 2 = 0. Suppose a*q - 4 = 2*q. Let v**2 - v - q*v + v = 0. Calculate v.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000000 - 101110011001100?\nAnswer: -101111000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 34608240523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3 - 3 - 163*w**2 + 162*w**2 - 17*w. Does 6 divide b(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-35)\/(-2275))\/(0 + -6))\/(80\/(-400)).\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4 + 8 = 0. Suppose -2*l - o + 1182 = 2*l, -p*o + 1176 = 4*l. Is 12 a factor of ((-4)\/(-16))\/(2\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1011*n**4 - 18*n**3 + 28*n**2 - 260638*n - 14 wrt n?\nAnswer: 12132*n**2 - 108*n + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/(-40) + 914\/8. What are the prime factors of ((-3)\/(-12) - (-1)\/(-4)) + t?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1.4, 2\/9, 59?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242213 (base 6) to base 8.\nAnswer: 51401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 11.02680843?\nAnswer: 14.02680843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 644 divide 955388812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 + 1222*r - 1222*r.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.3672 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 c when two letters picked without replacement from kccowkkwokc?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yeyyeeyyyyeyey. Give prob of picking 3 e and 1 y.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/45 + 18\/81. Which is the closest to -2? (a) 3 (b) m (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*o = 189*o + 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*o + 97*o = 192. What is the remainder when 114 is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**4 - 7*m**3 - 19*m**2 - 5*m + 3. Let o(q) = -7*q + q + 3*q**4 - 18*q**2 - 5*q**4 - 8*q**3 + 2. Let a(w) = -2*g(w) + 3*o(w). Factor a(c).\nAnswer: -2*c*(c + 1)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58029.\nAnswer: 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 8:06 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffj when three letters picked without replacement from ffffffffffffffjfff?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 - -67. Suppose -t - w - 11 = 2*w, 0 = -5*w - r. Let p(f) = f - 5. Let a(l) = -3*l + 11. Let h(y) = -4*a(y) - 9*p(y). Calculate h(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3885*s = 4024*s - 1112. Let c = 8 + -3. Solve 10 = -c*d + h, 2*d = -4*h + 26 - s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**4\/24 + 14*p**3\/3 + 22*p**2. Let m be i(16). Find the common denominator of 13\/16 and (-115)\/m + 0\/10.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -5*v**4\/6 - 185*v**3\/2 - 8319*v**2\/2 + 1839*v. What is the derivative of t(a) wrt a?\nAnswer: -20*a - 555","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 505731 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -383 divided by -13902\nAnswer: 383\/13902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h - 5*h = 214576. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4609709452 divided by 4?\nAnswer: -1152427363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/(sqrt(8)*3) + (sqrt(684) - -3*sqrt(684) - sqrt(19)))*-3.\nAnswer: -70*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62\/(-14) - (-1348)\/(-2359).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(84)\/(sqrt(12) + sqrt(144)\/(sqrt(12) - sqrt(192))) + 5 + -2*(-1 + sqrt(847) - sqrt(7)))**2.\nAnswer: -148*sqrt(7) + 9647\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 + c + 2. Let j be (-2)\/(3 + (-122)\/38)*2. Suppose 0 = -v - n + 5, -5*v + 3*n = 6*n - j. What is r(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**6\/135 + o**5\/45 + o**4\/18 - 4*o**3\/27 - 4*o**2\/9 - o. Find v such that u(v) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**4\/24 - 5*x**3\/6 - 3*x**2. Let n(d) = -34725 + 69443 - 34718 - 5*d**2. Give i(n(a)).\nAnswer: -5*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -24*b + 1134. Calculate j(47).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116122, 232245, 348368?\nAnswer: 464491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2043742?\nAnswer: 2, 613, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lcttjvj. What is prob of sequence tjjv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*v + 19*v = 35*v - 720 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1617 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40070335 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 6, 59, -5, 166 in increasing order.\nAnswer: -5, -2, -1, 6, 59, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 322195958*h**6 + 2014*h**2 + 96157 wrt h?\nAnswer: 38663514960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1. Let a(l) be the third derivative of 13*l**4\/24 + 4*l**3\/3 + 38*l**2 - 4*l. Give -a(q) + 6*x(q).\nAnswer: -13*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.122 in 0, -0.05, 7\/4, -4, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (7749\/(-42))\/(-41)*40\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 2*j + 7. Let x be h(4). Suppose -i = 2 - 0. Is x greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 2*n - 1)*((-2 + 6 - 5)*(0*n - 4*n + 2*n) + 12*n + 8 - 8) to t*n**2 + p*n + c and give p.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 437 - -7556?\nAnswer: 10215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 763 or 2111?\nAnswer: 763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by 94.\nAnswer: -29\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -978803*d**2*x**2 - d**2 + d*x**2 + 2363485*d*x - 2*d wrt d.\nAnswer: -1957606*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - 1 - 1022*m - 1022*m - m**2 + 2083*m + 9 + 3*m**2.\nAnswer: m**2 + 39*m + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*d + 8, -2*v + 3*d - 4 = -24. Let t be ((-4)\/(-2) - 7)*-1. What is the units digit of -2 + 20\/t + v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.2955195 nanometers?\nAnswer: 0.0000000000002955195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 1\/4*a**4 + 0*a**2 + 1\/2*a**3 + 0 + 1\/5*a**5 - 33*a. Let p(s) = 9*s**3 + 7*s**2 + 7*s. Give 14*j(u) - 6*p(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 3*i - 6, -794*h + 790*h + i - 8 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 9, 2\/551, 0.4, 3, 0.03?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + k + 1. Let h be f(2). Let q be -3 - h\/((-1)\/(-8)). Let z(c) = -c + 3. Let b(u) = u - 4. Let d(r) = 4*b(r) + 5*z(r). Determine d(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 426715.3 centimeters in nanometers?\nAnswer: 4267153000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - 12 - (-35 + -11 + 32)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2603? (a) 2\/13 (b) -4\/7 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*a + 9832, 117*a - 5*x + 4958 = 118*a. Does 112 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -26828540, -26828537, -26828536, -26828537?\n\"Answer: -r**2 + 6*r - 26828545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.38 plus 14037652?\nAnswer: 14037654.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-12*8\/(-64)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 8 = 4*u, 0*u + 2*u - 22 = -4*v. Let z be (v - -1)\/(-2 + 3). Let m(i) = -i + 16. Does 5 divide m(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**(1\/4)\/m)*m)\/m**5)\/(m**(2\/3)\/(m\/m**(-6)*m)) assuming m is positive.\nAnswer: m**(73\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1477.6 - 2917.4. Round w to the nearest 10.\nAnswer: -1440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-1))**40\/(y*y\/(y\/y**0))**(-50) assuming y is positive.\nAnswer: y**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459834.\nAnswer: 2, 3, 173, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -4\/3 (c) -68 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -139*m**7\/42 - 7*m**4\/4 + 8*m - 2. Find the third derivative of r(h) wrt h.\nAnswer: -8340*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6*d = 30. Let m(p) = 2*p - 14. Let q be m(6). List the prime factors of (261\/d)\/(q\/4).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-25))\/((-22)\/(-55))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 3:08 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g + 0*g - 4*g + 3*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1762789393 to the nearest 1000000.\nAnswer: -1763000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -2*r - 12, -5*r + 1 = -2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4*(4\/22 + 21*3402\/4312)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k - 14*k**2 + 5*k to the form s*k**2 + z + h*k and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -11*j**2 - 2. Let y be f(-7). Suppose 0 = b - 6*b + 110. Calculate the greatest common divisor of b and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r - 4*r = -12688. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 13210555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 44054.5 rounded to the nearest one hundred?\nAnswer: 44100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -21, -4, 1, 250, 4, -2 in decreasing order.\nAnswer: 250, 4, 1, -1, -2, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 1 (c) 4 (d) 7 (e) 5 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, y: 1, t: 1, v: 1, z: 2, n: 1}. Give prob of sequence zllt.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1573) + -1*sqrt(1573) + sqrt(1573)))**2 + 0 - (sqrt(13) - (-1*1*sqrt(13) - sqrt(13)) - -4*sqrt(325))**2.\nAnswer: 18291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 10:27 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 1. Solve -3*d = -d + l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, c: 1, l: 1, s: 1, y: 2, v: 2}. Give prob of picking 1 s and 1 y.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -m - 0*m + i, 3*m = 2*i + 7. Suppose -4*g + 2 = -m*g. Suppose 0 = -4*x + 3*b + 23, 0 = -x - 2*x + g*b + 17. Solve -3*z + 4*z = -x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5\/3, -0.3, -37, 177, 2\/1149?\nAnswer: 2\/1149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence veww when four letters picked without replacement from {w: 2, e: 5, v: 4, q: 2}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-1 - 24)*98\/(-245).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in 0.2, -7, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 172208686787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13436615 is divided by 483?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y - 5. Let z be p(6). Let b = -13 + z. Suppose 11*u + b = 5*u. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/723 and 109\/6.\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 34*k + 25. Suppose -j = -8*j - 14. Let z be 2*-3*-7*1\/j. Let d be y(z). Round d to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-21)\/(-70))\/((-24)\/(-260)))\/(1\/(-4))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**5\/7 + 8*r**4 + 180*r**3\/7 - 160*r**2\/7 - 464*r\/7 + 384\/7 = 0.\nAnswer: -8, -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v. Let s be w(-2). Suppose -3*f = 3*r - 14 - 1, 2*r - 10 = -s*f. Let a = 15 - r. Solve 0 = 3*o + 12, 0 = -3*y + 2*y + 2*o + a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4\/q**(3\/7))\/(q**(1\/3)*(q\/q**4)\/q*q)*(q\/(q**(-1)\/q))**(-3\/2)*(q*q**(-2\/5)*q*q)**(-40) assuming q is positive.\nAnswer: q**(-4295\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 388*j**2 + j + 2 - 389*j**2 - 1. Calculate x(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3219264 to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12*(26\/(-6) + 3). Let m(a) = a**2 - 6*a - 2. Let h be m(4). What are the prime factors of (j\/h + -2)*-25?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2924301471 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 8*s**2 - 22*s + 52. What is b(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by -1.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from kkkokkkkoosookkok?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 61425808 divided by -3839113\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45735380?\nAnswer: 2, 5, 269, 8501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**3\/6 + 11*y**2\/6 - 4*y = 0.\nAnswer: 0, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*a, -5*g + 4*a = -g - 132. What is the remainder when 106 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8371262?\nAnswer: 2, 881, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**4 - 27*g**3 - 66*g**2 = 0 for g.\nAnswer: -2, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1, 3, -7, -37, -93, -181, -307?\n\"Answer: -i**3 - i**2 + 14*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -908, 0.5, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/7 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 558 and 3379?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -103*(-4)\/8*(-7 + 1). Let s = d - -44. Let l = -1321\/5 - s. What is the third smallest value in 0.1, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -66. Is (846\/f)\/((-2)\/42) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.8 + -11.73. What is the third smallest value in -0.4, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.0790962903+-16\nAnswer: -13.9209037097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*2*(-3)\/1. Let i be j\/(-4)*8\/(-36). What is the nearest to i in 1\/3, 0.5, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/(1\/(8\/(-6)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134 - 125 = 3*x - 25*w, -w = -3*x + 81 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28641762, 28641765, 28641768, 28641771, 28641774?\nAnswer: 28641777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 495*x - 226 = -500*x, 4*l - 216 = 4*x. Sort 1, l, 5 in decreasing order.\nAnswer: l, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 38, 0.4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118422 divided by -162.\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 7*f - 15 = 3*p, 0 = -5*f - 3*p - 17 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 4*t + 3. Let r(a) = 10*a + 1. Let x be r(-1). Does 24 divide i(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 936992 is divided by 20822.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.1248418 months?\nAnswer: 0.017707015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 15*f - 767. Calculate n(37).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -9. Let v(k) = 4*k - 8. Let p(a) = 414*a - 840. Let h(b) = 4*p(b) - 420*v(b). Let d(r) = 8*r. Give x*h(n) - 16*d(n).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -762*p + 1533. Calculate g(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 12 = -x, -2*x = -4*o + 71 - 15. Let n = o - 11. What is the second derivative of -3*w**5 - 9*w**5 + 10*w**n + 5*w wrt w?\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4*h = -571 + 518, 0 = 5*i + 5*h + 85 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 87*f**2 + 320*f - 994. Calculate y(-83).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from {p: 1, f: 1, j: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32589*g = 65054*g - 32646*g + 9774 for g.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5478846 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**3 + 6*t**2 - 5*t + 2. Let z be i(6). Calculate the common denominator of 3\/(4\/116*-20) and 6\/16*z\/(-42).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q**2 + 20*q + 2. Let j(p) be the third derivative of -p**5\/30 - 7*p**4\/24 - p**3\/6 + 433*p**2. Determine 4*f(z) + 11*j(z).\nAnswer: 2*z**2 + 3*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((668\/(-18704))\/(((-27)\/80)\/(-9)))\/(3\/18).\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.12, 7\/3, -2.46, 2\/7, 2\/5?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*h = -2*o + 205*h + 17, 2*o + 2*h - 10 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10355 is divided by 414.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/((x\/x**(2\/29))\/x)))\/x**6*((x*x\/x**(-1)*x*x)\/x)**7)**(-3\/2) assuming x is positive.\nAnswer: x**(-1821\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 23 = r - 2*x, -5*x - 10 = 5*r. Suppose -r*s + 447 = 57. What is the highest common factor of 30 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**4 + 50*h**3 + 625*h**2 = 0.\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 38592218 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*z**3 - 1011968*z + 916417178.\nAnswer: -120*z**2 - 1011968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 653\/(2\/(-98)*-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b - 5 + 5. Let t be h(-2). Solve t*d = 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4662 by -259.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 53?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 338*c + 1. Let b(s) = 40*s**2 - 384*s. Determine j(b(v)).\nAnswer: 13520*v**2 - 129792*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 249, 3491, 8895, 16461?\nAnswer: 26189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 12:25 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 2*r + 3. Let w be g(-2). Suppose -32 = -w*t - 8. Solve 7 + t = 5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v**3 - 9*v**2 + 9*v - 1. Let z(c) be the first derivative of -c**4\/4 + 2*c**3\/3 - c**2 + 77. What is -2*a(j) - 9*z(j)?\nAnswer: -j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -420 + 423. Suppose 1 = -b*m - 2*s + 35, 2*s = 2*m - 16. Solve 2*y - 4*y = -m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15407363?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(147)\/sqrt(3))\/sqrt(7)*-1*2.\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07922 + 174.75522. Let o = 3.376 - k. Round o to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0843584907 rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22.9 - -18. Let b = u + 4.939. Round b to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 214213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a**2*z**2 + 139*a**2 + 9*z**2 - 1 wrt z?\nAnswer: -2*a**2*z + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -w + 2*x + 2, -2*w + 2*x = -4. Let z be w\/(-4) + 3\/4. Is 16 a factor of (-11)\/(2\/(-10)*z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4977, 5065, 5155, 5247, 5341, 5437?\n\"Answer: y**2 + 85*y + 4891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 307 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*((-4*sqrt(68) + sqrt(68))\/sqrt(4) - sqrt(51)\/sqrt(12)))**2.\nAnswer: 833\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t. Let h(o) = -1560607*o. Determine p(h(c)).\nAnswer: -4681821*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/64 - -79\/320. Let z(m) be the first derivative of 0*m**4 - h*m**5 + 0*m**3 + 5*m + 1 + 0*m**2. What is the derivative of z(n) wrt n?\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 8*s**3 - s**2 - s. Give b(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 8295 = 5*w, -3*o + 6613 = -3*w + 7*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(7)*3)**2 + (sqrt(112))**2.\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 107411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 29*g**2 - 31*g - 33. Give z(-30).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - 2 - (-15 - -39).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 2410949004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 - 47. Suppose -k*z + 165 = 4*z. Let p be (3\/z + 14\/5)*1. Solve p*w + 3 = 3*f, 0 = 3*w - 4*f + 8*f + 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*v - 210505 - 718241 = 0. Is v a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -72, 0.2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 48466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 42, 82, 122, 162?\n\"Answer: 40*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -372*3.15\nAnswer: -1171.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 13*t**2 + 2*t - 8. Let r be k(-13). Which is smaller: -33 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 2 = -2*p, -12294*w + 3*p = -12298*w - 25 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/13 + 433386*q\/13 - 1733512\/13.\nAnswer: -2*(q - 216689)*(q - 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222 (base 10) to base 12.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 8*d**2 - 9*d + 16. Let k be s(7). What is the third derivative of w**6 - 1597*w**2 + 1447*w**2 - 44*w**4 + 3*w - 74*w**4 - k*w wrt w?\nAnswer: 120*w**3 - 2832*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 3*w**2 - 2. Give f(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 5*q - 5. Let h be w(6). Let m be (3\/(66\/(-4)))\/h. Let z = 1\/12 - 7\/12. Sort z, -4, m in ascending order.\nAnswer: -4, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300450187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(4) + -1 - (-1 + sqrt(320)))**2.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, k: 4, o: 1}. Give prob of picking 1 k and 1 o.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l - 2. Let i be c(-4). Let g(s) = 78*s - 931. Calculate the remainder when ((-16)\/i)\/(3\/15) is divided by g(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -12*s + 13. Let h be a(1). Solve 3*w = z + h - 14, 4*z = -2*w - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 29, -3, -7, -0.9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/56 and -19\/15160?\nAnswer: 106120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a microsecond in nanoseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7 + 4)*(-o + 4*o - o)*(o + 4*o - 4*o).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k - 26. Let f be n(-10). Is 6 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1300, -1306, -1332, -1390, -1492, -1650, -1876?\n\"Answer: -2*l**3 + 2*l**2 + 2*l - 1302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40231 - 20871. What are the prime factors of k?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 63.75354 years?\nAnswer: 0.6375354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 90*x**2 + 0 + 81\/2*x + 1\/2*x**5 + 59*x**3 + 10*x**4 = 0.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (168\/14)\/(4\/18) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8849824433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -1255*h**2 + 1556*h - 60 = 0.\nAnswer: 10\/251, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*c - 1)*(-2 + 0 + 10).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 1. Let v(g) = -55*g + 33. Let r(j) = -33*b(j) - v(j). Let x(a) = -a. Calculate x(r(z)).\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13)\/39*(-16101)\/66. Let k = 163\/2 - d. Factor 0 + k*m**2 - 6\/11*m.\nAnswer: 2*m*(m - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 114320154?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**3\/i**(-1\/4))\/((((i\/i**(-5))\/i)\/i*i)\/i**(2\/9)))\/((i*i**(-1)*i)**(6\/7)*(i\/((i*i**2\/i)\/i))**(-6\/31)) assuming i is positive.\nAnswer: i**(-601\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46.8 + -9612.\nAnswer: -9658.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 1597?\nAnswer: -1596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**3 - 3*l**2 + 5*l + 3. Let m be i(6). Suppose 160 = 47*a - 15*a. Suppose -5*r + a*n + m = 19, 0 = 2*r + 2*n - 296. List the prime factors of r.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -15*o**3 - 585*o**2 - 2*o - 88. What is g(-39)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2316538261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*u**2 + 33*u**2 + 28*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 602 greater than or equal to 603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -12. Suppose -14 = 2*k - m*k. Let s = k - 2. Calculate the highest common divisor of 15 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**5 + 9896*r**4 + 268*r**3 - 10444006*r**2?\nAnswer: 120*r**2 + 237504*r + 1608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 90137782*h**5 + 790114230*h wrt h.\nAnswer: 1802755640*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-24)*(1 + 13\/(-10)). Is -0.074 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**8\/26880 + t**7\/10080 - t**6\/2880 - t**5\/480 - 3*t**4\/8 - 10*t**2. Let c(v) be the second derivative of m(v). Factor c(p).\nAnswer: (p - 1)*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 576 and 92.\nAnswer: 13248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 12:59 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 57, 228, 521, 942, 1497?\n\"Answer: t**3 + 55*t**2 - t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**3 + 2*t**2 + 2*t - 3. Let p be u(2). Let d be (-10)\/p*(-23)\/(-3). Let m = -44\/9 + d. Which is the second biggest value? (a) 4 (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/24 + 4\/6. Suppose p = -g*p. Solve -s - 2*s - 6 = p for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7924 (base 15) to base 11.\nAnswer: 1832a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.722791l to millilitres.\nAnswer: 722.791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 6 = -5*a. Let o be 28\/2 - 2\/(-1). Let g be o\/12*9\/14. Are g and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -427 + 444. Let r = -58 + 59. Which is the nearest to r? (a) -0.3 (b) j (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 63 + 5. Suppose 3*t = -4*m + 140, -2*t + 30 = -t - 2*m. Let k = t + o. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32\/(-36)*(-1 + 7\/4). What is the nearest to -0.02 in -0.4, -1\/5, d?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -278 - -255.3. Let m = -23 - g. What is the closest to 0 in 4, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*i = -239*i + 1093698 + 675946. What is the thousands digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3762150 (base 9) to base 5\nAnswer: 1011023431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/2 (b) 107\/34 (c) -8 (d) 0 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*a**3*c**2*d - 199622*a**3*c*d**2 + 12339*a**3*d**3 - 2*a**3*d - 24736*a**2*c**2*d**3 + a**2*c wrt d?\nAnswer: 74034*a**3 - 148416*a**2*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(2) - -6*(sqrt(2)*2 - sqrt(2))) - sqrt(8)\/sqrt(4)*-6)**2.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8590 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59443 = -53*y + 59602. Factor 3\/2*v**y - 9\/2*v**2 - 3\/2*v + 9\/2.\nAnswer: 3*(v - 3)*(v - 1)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -16*q + 483. Give b(31).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -5, -0.1, -16?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 944109*7.8.\nAnswer: 7364050.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 476363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4355 is divided by 72?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3574109\/358 or 9983?\nAnswer: 3574109\/358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 12:28 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in seconds?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011741326 rounded to 4 dps?\nAnswer: -0.0117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*g + 171171 = -104167. Does 25 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.19735 - -0.15735. Which is the fifth smallest value? (a) x (b) 5 (c) 0.3 (d) -2\/9 (e) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4976*r - 1772*r + 2 - 7853*r + 0 - 1746*r.\nAnswer: -16347*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 213642913 - 207*q + 3*q**2 - 213642913 in the form t + o*q + l*q**2 and give o.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -792 + 795. Solve 4*n = 8, z = f*z + 5*n - 12 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -881801, 4 in increasing order.\nAnswer: -881801, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 6 - 9 + 136*z**2.\nAnswer: 136*z**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 + 0. Let r be (2\/44)\/((-9)\/(-2)). Let j = r + 290\/693. Sort 2\/5, a, j in descending order.\nAnswer: j, 2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, a: 3, n: 3, s: 4}. Give prob of sequence ss.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 699 divide 25474584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r**2 - r**2 - r**2)*(-r - 5*r + 3*r) - r**3 + 0*r**3 + 0*r**3 + 3*r**3 + 0*r**3 + 4*r**3 to the form n*r + v*r**2 + f*r**3 + c and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -1568*f + 48613. What is u(31)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 43\/2 of a millimeter?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1184401 and 447.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 + 53*y - 8. Let i be a(6). Calculate the greatest common factor of 84 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 765663*c*y - 2*c - 1091751*y wrt c?\nAnswer: 765663*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39393 is divided by 13026?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 3*l - 189. Let i be l\/39 + (-2)\/(-13). Solve 4*k = i*r - 19, -5*k - 5*r = -15 - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10 + -8 + 2\/1. What is u in 1 + 6*u + 3 - 6*u**3 - 3 - v + 3*u**4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(175) + 1)**2*4 + 3 + (-4 + sqrt(175) + sqrt(175) + 0 + sqrt(175) + 4)*-5.\nAnswer: 125*sqrt(7) + 803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1927700 rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -296148*f**3*h**2 + 561*f**3*h + 76*f*h wrt h?\nAnswer: -592296*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -6. Let w be (-2)\/(((-6)\/4)\/3). Let f be 1\/(-6)*w\/7. Which is greater: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/1741 and -83\/10.\nAnswer: 17410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*l**2 + 0 - 4*l**3 + 10*l**3 + 436*l**2 + 4.\nAnswer: 6*l**3 + 327*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -211080058 + -78279942. Round g to the nearest 1000000.\nAnswer: -289000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -37681, -150732, -339143, -602908, -942021?\n\"Answer: r**3 - 37686*r**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 368803291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-2028590.\nAnswer: 405718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -8. Suppose y - 170 = -5*j + 6*y, 3*j + z*y - 88 = 0. Let i be ((-1)\/4)\/(44\/j). Put 2, -0.1, i in decreasing order.\nAnswer: 2, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/2 (b) -0.2 (c) -0.1 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 3 - 9 - 6*q**3 + 3*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18211431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 9. Let q(y) be the second derivative of 3*y + 1\/3*y**3 - 1\/6*y**4 + 0 + x*y**2. What is the second derivative of q(n) wrt n?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154 - 4776*h - 58 - 7828*h - 1301*h.\nAnswer: -13905*h + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 - 2*x**5 - 3*x**3)*(-2 - 5 + 2) - 2*x**5 - 5*x**5 + 4*x**5 + x**5 - 2 + 2.\nAnswer: 8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + (-3*sqrt(14))\/sqrt(7))**2*5.\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 783a5 (base 11) to base 6\nAnswer: 2233553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -1. Suppose 7466*h = 7453*h. What is the third smallest value in 2\/13, h, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5*a - 20, -3*y - 4*a + 4 - 9 = 0. Let t = 948 - 920. Let n(p) = p**2 - 30*p + 61. Let m be n(t). Solve 3*v = -0*q - 5*q, m*v = y*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 3510060.\nAnswer: -1\/351006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*m = -27 - 9, 5*m + 10 = 0. Suppose -11 = -5*x - z. Let h = -4 + 3.9. Which is the nearest to -2? (a) 6 (b) x (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 509591976.\nAnswer: 2, 3, 73, 239, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(4 - 36\/8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/2)\/n*n\/n**(-5)*n**(-2\/7)\/n**(-1\/10))**(-6\/5) assuming n is positive.\nAnswer: n**(-1116\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 42 = 3*o, 2*k + 1036*o - 1057*o = 179 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, p: 1, s: 2, x: 1, w: 2}. What is prob of picking 1 m and 1 s?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - p - 20, 4*b + 4*p - p = -27 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**4 + 46*i**2 + 0*i**3 + i + 2*i**3 + i + 3*i**4 to the form d + q*i**4 + u*i + y*i**3 + x*i**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 651 is divided by 112.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -82*j - 25. Does j = 18\/383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -98, -4\/3, -1, 43, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 11:39 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504*w - 5527 = -13087 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 - 44. Solve -5*h + 0*h = k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10513 = 119*z + 15035 for z.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1807660 is divided by 602552.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 460 - 413. Solve -49*b + w*b = -10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/303651 and 143\/96.\nAnswer: 9716832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 126064 or 4.8?\nAnswer: 126064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 27*k = 37*k - 291900. What is the highest common divisor of 35 and k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 169, -4 in ascending order.\nAnswer: -4, 1\/4, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 13*l + 103. Let s be g(-7). Let n be (63\/6)\/(-7)*224\/s. What is the closest to 0.2 in -3\/4, n, -3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(312)*-4)\/(sqrt(8) + (sqrt(512) - (sqrt(512)*2 - sqrt(512) - sqrt(512))) + sqrt(8)))\/((sqrt(336)*-2)\/(1*sqrt(175) + sqrt(175) + sqrt(175))).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 9*u**2 - 5*u - 6. Let h be g(10). Suppose 3*m = 3*i - 10 - 20, 4*i = 2*m + h. Suppose 3*y - 4 = 5*r - 4*r, i = 2*r - 2*y. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 36886*a*n**3 - 439654*a - 50*n**3 - 3 wrt n.\nAnswer: 110658*a*n**2 - 150*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 14*r - 110. Let s be l(9). Calculate the highest common factor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 17. Let m be t\/(-10) - (357\/15)\/(-7). Suppose -p - 7*p = -96. Solve -3 + p = -r + 3*s, -m*s = -12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*j**3)*(-3*j + 3*j - j**2) - 2*j**5 + 2*j**5 - j**5 - 3*j**5 + 4*j**5 + 14*j**5.\nAnswer: 16*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.24, -0.1, -20\/437?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j**2 + 7*j - 7. Let t(f) = 2*f - 12. Let q be t(8). Let x(g) = 2*g**2 - 3*g + 3. Give q*d(z) + 9*x(z).\nAnswer: 2*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.33684 + 2.8953. What is h rounded to 3 dps?\nAnswer: 0.558","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 613210774 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((5*(sqrt(125) - (sqrt(125) + sqrt(125)*-1)) - (sqrt(125) - sqrt(125)*-1*3)) + -1)**2.\nAnswer: -756 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.09*2393.7\nAnswer: -215.433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 10) to base 9\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/((-3)\/(-33)*11))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1133203010 (base 4) to base 5\nAnswer: -100010424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.160852 nanometers to kilometers.\nAnswer: 0.000000000009160852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1620, 3238, 4856?\n\"Answer: 1618*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one sixteenth of a millisecond?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 15 (b) -1\/14 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/57928 and 113\/54586.\nAnswer: 2838472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 180\/(-72)*((-4)\/(-25))\/((-4)\/(-90))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -5*m**2\/2 - 1684. Let p(v) = -414*v**2. Determine p(q(h)).\nAnswer: -10350*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*(-3*4*(0 + sqrt(891) - sqrt(891))**2*-2 + -4).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 - (1 + -5 - (8 - (12 + -8))).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2755 and 725.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 96 + 13. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -84 - -91. Let c(i) = 3*i + 9. Let t(h) = 3*h + 8. Give f*t(a) - 6*c(a).\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**4 + 15*h**3 - 25*h**2 - 15*h + 26 = 0. Calculate h.\nAnswer: -1, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -303 + 127. Let v = -123 - c. What are the prime factors of v?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -7, -710, 1\/744?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**3 - 67108*j**2 + 2758152*j = 0.\nAnswer: -16818, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33 and 25\/285807.\nAnswer: 285807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*i**5*v - 7*i**5 - 4*i**3*v - 3*i**2*v + 9*v + 4 wrt i?\nAnswer: -1380*i**2*v - 420*i**2 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 88 - 76. Suppose 10*k = c*k - 24. Suppose k*b - 3*b = 27. Solve b*t - 12 = -4*u - t, 2*t + 4 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o**2 + 33*o - 25. Give f(-7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25508\/9 + -2834. Put v, -2, -2\/11, 50 in decreasing order.\nAnswer: 50, v, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1589843 is divided by 317967.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3818 + -1a25?\nAnswer: 18a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**4 + 4*p**4 - p**4 - p**2 + 2*p**4 + p**2 + 2*p**4 - p**4 + p**4 + (-3*p + 3*p - p**2)*(-4 - 2*p**2 + 4) + 0*p - 3*p**4 + 0*p.\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**3\/6 + 5*u. Suppose -2 = -2*m, -5*m + 9 = -w + 3*w. Let x(f) = 4*f**w + 0 + 0. Calculate x(k(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*o = -1894, 2*g = 4*o + o + 1270. Is g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/(-20) + (-84)\/(-5). Suppose 2*o + 4 = v. Calculate the remainder when o is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1913*j = -421*j + 47744 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 12:50 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7400 = -3136*o + 1172*o + 25076 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13*-30\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12698914817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824154 is divided by 17533?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 70?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5379 + 5379.39. Which is the nearest to 0.1? (a) 4 (b) -0.04 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.889871 * -5.\nAnswer: 9.449355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-5) + 1\/5. Suppose -3*b + 25 = 2*y - 0*y, -15 = b - 4*y. Suppose w*n + 5 + 1 = 0, b*x + n = 102. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxidc. Give prob of picking 1 c and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q + 1 - 1)*(0 + 5 - 4 + q).\nAnswer: 5*q**2 + 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/((-199584)\/385)*-3.\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1612615 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: Is 14019786 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2112 + 1203133?\nAnswer: 1201021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-33)\/((i\/i**(2\/53)*i)\/i)*(i**(-3\/11))**19 assuming i is positive.\nAnswer: i**(-22821\/583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-3)*(-3)\/2. What is the remainder when 25 is divided by (-81)\/6*o\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7041 a factor of 111635055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 0 + 0*h + 0*h**4 - 98*h**2 - 23\/2*h**3 - 15\/4*h**5. Differentiate j(r) with respect to r.\nAnswer: -450*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -89, -95, -101, -107?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-9) - (-595631)\/261. Suppose -n = -19*a + 22*a - t, -n - 3790 = -5*a. Is a a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4.803819mg?\nAnswer: 4803819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2262 and 6?\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 10 = -0*c. Let s(g) = -g**3 + 10*g**2 + 2*g - 7. Let j be s(c). What is the highest common factor of 39 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 12*3\/15. Factor -o*m**4 - 4\/5*m + 4\/5*m**3 + 2\/5 + 0*m**2.\nAnswer: -2*(m - 1)**3*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/132 and -7\/20?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77377 is divided by 1442?\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 826 + -440. Suppose -2*l = a - 1943, a - 2328 = -3*l - b. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(1584) + -1) - (sqrt(1584)*-2*3 - sqrt(1584))) + (5*sqrt(77)\/sqrt(7) - ((sqrt(77) - 1*sqrt(77)) + sqrt(77))\/sqrt(7)))**2.\nAnswer: -448*sqrt(11) + 137988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 321554 and 946?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50130130073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5027?\nAnswer: 11, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1629182 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -1 - (8 - (6 - 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 4*y - 24, -5*y + 2*y + 17 = -m. Let i = 62 + -90. Let z = -29 - i. Sort 0, z, m.\nAnswer: m, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f + 2. Suppose -1 = 4*q + 3*c - 5, -2*q = -c + 8. Let i(w) = -w**2 - 3*w**2 + 3*w**2 - 3 - 3*w. Calculate q*i(s) - 3*g(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 66 = 12*z. Let q be 12\/5 + 4\/(-10). Let b = z - q. Solve -10 = -5*a, 2*d + 15 = 4*a - b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minus 2222?\nAnswer: -2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3408648 and 2736.\nAnswer: 388585872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57 - (-67 - -164)) + -54.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6448 = 24*y - 7448. Is y a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 7*i**3 - 3 - 2*i + 17\/2*i**2. What is the derivative of m(h) wrt h?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/((-2)\/(-2))*-2 + 3)*-24. Solve 12*r - 18*r = w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/8 + 29206\/8. Let q(t) = -h*t + 382*t + 1183*t - 6039*t. Let u be q(-8). What is u rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - 24 = -3*w, w - 161 + 157 = f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*-19.23\nAnswer: -13.461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/10 - (-7)\/35. Suppose -3*a + 4*x - k = -28, 0 = 4*a + 5*x - 76. What is the least common multiple of 6 and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2 - 2 - 1. Let a(s) = -899*s - 19772. Let h be a(-22). Let v(t) = 3*t - 7. Determine h*j(g) - v(g).\nAnswer: -3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7194+-0.04\nAnswer: -7194.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (-2)\/(-15) + 890\/75.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.04 and 13640566?\nAnswer: 13640566.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence du when two letters picked without replacement from tetbuuodbduo?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83884686 to the nearest integer?\nAnswer: 9159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.719 - 2.119. What is the second smallest value in 1, f, -0.3, -1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 6*u - 2*u**2 + 0 - 1\/3*u**3. Differentiate y(o) with respect to o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -27*k**7\/14 - 93*k**6\/8 + 53*k**5\/3 + 55*k**4\/2 + 40*k**3\/3 - k**2 + 20. Let w(g) = 0. Calculate g.\nAnswer: -4, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1818 <= -285525\/157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 977 - 920. What is the remainder when 2279 is divided by n?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103 + -14 + -20 + (14 - 9) - (3 - 0)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27726.\nAnswer: 2, 3, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3\/4 + 206*c**2 - 33552*c + 1254528 = 0 for c.\nAnswer: -968, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 63 and -193.\nAnswer: -12159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6736 = -4*r + 2*w - 1498, 3*w = 3. Let t = r - 927. What are the prime factors of t?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/55 and -139\/3080.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0125435 to 4 dps.\nAnswer: -0.0125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 940 and 88436?\nAnswer: 20782460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 348 = 312 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12138 + -6483. Suppose -8*v + w = -16561. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 11*k + 32*k + 90 + 95, 4*b - 4*b - k - 5 = 0 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19398 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**4\/24 + 125*c**2. Let k(b) = -65*b**2. What is u(k(v))?\nAnswer: -65*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 10:08 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1091 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11998859 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 23)*(0 + 3\/24)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 865530829.\nAnswer: 811, 1067239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -0.08777, -9, -1.1, 0.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504036?\nAnswer: 2, 3, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, m: 2, b: 2, c: 2, p: 11, g: 1}. Give prob of picking 1 g, 1 p, and 1 c.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6749 + 6762. Which is the fourth biggest value? (a) 0 (b) -2 (c) u (d) 23 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -8. Which is the closest to 0.1? (a) 23 (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -360974*w**6 + 6*w**4 - 1814*w**2 - 3725*w wrt w.\nAnswer: -43316880*w**3 + 144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8\/(-24) + (-169660)\/(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**2\/5 + 2309*n\/5 - 4622\/5 = 0.\nAnswer: -2311, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 4*g**2 + 1. Suppose 0 = -4*b + 2*b + 2. Let n be 1\/b*(3 - 6). Give w(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47037, -46968, -46859, -46710, -46521, -46292, -46023?\nAnswer: -45714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 530753 (base 8) to base 2\nAnswer: 101011000111101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*g = 6148. Let z = g + -30753\/20. What is the common denominator of -69\/16 and z?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -205, -207, -199, -175, -129, -55, 53, 201?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -15, -47, -97, -171, -275, -415, -597?\nAnswer: -827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -173 in -3\/7, -3, 9\/92?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -5*w**5 - 315*w**4 + 2070*w**3 - 110*w**2 - 7665*w - 5175 = 0.\nAnswer: -69, -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 2, b: 1, m: 1, c: 2, r: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -28, -25, -22, -19?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/15*(-1 + 4). Let w be 1\/d*6*-1. Is w at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52549432 or -52549435?\nAnswer: -52549435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 23 (b) -1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 77\/14 - 9\/6. Solve -5 = v - 0, 0 = 5*n + o*v - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -608 + 15199\/25. What is the third smallest value in 2\/9, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-4 - -6)) + -7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2594.\nAnswer: 2, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3876594277?\nAnswer: 3876594277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 6) to base 5\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.83 - -0.17. What is the closest to 1 in o, -2\/5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 815158979?\nAnswer: 815158979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) -0.5 (b) 1 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2488189779 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyffffff. What is prob of sequence fy?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1460313*k**2 + 730162*k**2 + 730159*k**2.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -4*u + 2*u + 4, 2*u + 3*k = -17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + x - 4)*(0*x - 15204 + 15227 + 6*x).\nAnswer: 6*x**2 + 17*x - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 8*q**2 + 2. Let b(r) = -r**3 + 11*r**2 - 11*r + 2. Let n be b(10). Let p be i(n). Solve 7*z = p*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24817.99 + 24538. Let j = -280 - l. What is the smallest value in j, -0.3, 4, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -395502\/55 - -35412\/5. Let d = 15791\/132 + w. Find the common denominator of -101\/126 and d.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3336438 by 113.\nAnswer: 29526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 64*z**2 + 123*z + 83. What is the smallest common multiple of f(62) and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 2159448.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p. Let h(d) = -44*d**2 + 2*d. Give h(q(y)).\nAnswer: -396*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.048 + 0.048. What is the fourth smallest value in u, 3, -1, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 910136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 8*p**2 - 3*p + 11. Let d(l) be the first derivative of -l**3\/3 + 12*l**2 - 15*l - 12. Let m be d(23). Calculate r(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p**2 - 34*p + 27. Let i be n(9). Which is greater: 124 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3\/5 - 22*m**2\/5 + 2*m\/5 + 22\/5 = 0. What is m?\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**5\/20 - d**2. Let g(y) = -35*y - 24. Let a(s) = 6*s + 4. Let k(n) = -6*a(n) - g(n). Determine k(h(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 91129 or 91137?\nAnswer: 91137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334716.\nAnswer: 2, 3, 27893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48555 = 118*v - 320*v - 227*v - 156*v for v.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-25) - (-13)\/(-26) - (-94)\/60\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -10*a + 14. Let s be o(8). Is 18 a factor of 2 + 1 - s - (-2 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*j + 4*p, -p - 5 = 5*j + 2*p. Suppose 0 = -4*d + 2*c - 4*c + 264, -j*c = 2*d - 132. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**4 + 267*t**3 - 4815*t**2 + 8841*t - 4290 = 0.\nAnswer: 1, 22, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 6*y + 5. Let i be d(-3). Let x be ((-4)\/i)\/((-5)\/35). Suppose -2*b - x*b + 152 = 0. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 8*i - 12*i. Which is bigger: 8 or i?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2377 = 4*r, 4*l + 2*r - 7*r = 9403. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**2 + 2*y - y**2 + 3*y**4 - y**2 - y**3 as d + v*y + s*y**2 + x*y**3 + t*y**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 42, 85, 128, 171?\n\"Answer: 43*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1895098.15 to the nearest ten thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3469?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1660\/(-498))\/((-5)\/(-12))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, g: 1, x: 1, v: 2}. What is prob of sequence cxv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 5*s**2 + 17*s + 2. Let q be p(7). Let j(d) = d**3 - 22*d**2 - 23*d + 103. Is j(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccucccckcuucu. What is prob of sequence uuk?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -15. Suppose s*u + 83 = 4*u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l + 0 + l**3 + 1\/12*l**4 + 1\/2*l**2. Let c(z) = 3*z**2 + 13*z + 2. Calculate 9*b(w) - 4*c(w).\nAnswer: -3*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 3*k**2 + k + 5. Let w be q(-3). Let r(f) = 2*f + 2. Let s(n) = n**2 - 11*n - 10. What is w*s(o) + 11*r(o)?\nAnswer: 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98903.\nAnswer: 7, 71, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13856 in -3\/5, 1, 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**3\/13 + 5910*p**2\/13 + 1148144*p\/13 + 87864 = 0.\nAnswer: -182, -1, 3138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 941145 divided by 5.\nAnswer: 188229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v + v - 440 = 0. Suppose -v*h - 164580000 = 4*h. What is h rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346193731381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1193947892 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 3*o + 31. Let l be (2\/6)\/((-1)\/(-9)). Suppose -l*y - 2*y = -45. What is the least common multiple of y and h(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*b + 140. Let g = b + 53. What is the highest common factor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.16 - 0.06. Let g = -0.3 - -0.3. Which is the nearest to z? (a) -3 (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -2\/17, -5, 54?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + x + 4*x**2 - 4*x**2 + 6*x + 181.\nAnswer: 2*x**2 + 7*x + 181","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70265 is divided by 72?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 5*f + 10, -4*f = -7*f. Suppose -m = -6*m - 5*r + 50, r = l. Solve 0 = 4*g - 0*g - m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-659 + 11*p**5 + 659)*(12 - 9 + 4) + 5*p**5 - 5*p**5 - 2*p**5 + (0*p**2 - 3*p**2 + p**2)*(0 + p**3 + 0) + p - p - 2*p**5.\nAnswer: 71*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67.81458264 + -409.18544626. Let f = -477 - j. Round f to six decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**31)\/b**8 assuming b is positive.\nAnswer: b**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2094 is divided by 54.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5529 and 5577015.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-6)*k\/(k*k**(-1))*k)\/(k*k\/(k*k**(-1)))**(1\/24)*(k**(-2)\/(k**(1\/3)\/k))\/((k**(-4\/5)\/k)\/k*(k\/(k\/k**1*k*k)*k)\/k) assuming k is positive.\nAnswer: k**(-37\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) 4.3 (c) -0.195\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 3:17 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - r**2 - 3*r**2)*((1 + 2 - 1)*(2*r + 2*r - 2*r) + 15 - 2*r - 15).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 14 times 720\nAnswer: 10080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1 (b) 0 (c) -2063\/20 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -625 in 0.7, -1\/2, 0.2, -2\/1765?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 947.333m to nanometers.\nAnswer: 947333000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 277680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1184006*g + 3*g**2 + 1184006*g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 + 125 = 5*a. Suppose 4*u + a*q = 2*q - 20, 2*q = 3*u + 26. Let r(h) = 5*h + 36. Let n be r(u). Let g(t) = -t**3 + 6*t**2 + t - 4. Calculate g(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -254, -501, -748, -995, -1242?\n\"Answer: -247*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 312 - 0 - (105 - 94). Calculate the highest common factor of 4300 and l.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 19830900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 9*k + 727*k**3 + 8 + 9*k - 15*k**2 - 20. Let u = -79 - -66. Let v be z(u). What is v rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g**2 - 2*g**2 - 5*g**2 + 2*g**2. Let n(f) = -8*f**2. Determine n(c(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.652 to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000015167331 to 7 dps.\nAnswer: -0.0000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 5*c - 4*n - 151, -2*c - 2*n - 308 = 0. Let s = c - -155. Solve s = u + 4*q - 23, -3*u - u = -2*q - 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/(k*k**(-2\/13)*k*k)*k)\/((k\/(k*k**10*k))\/k))\/(k**5\/(k*k\/(k\/k**(2\/15)))))**37 assuming k is positive.\nAnswer: k**(59792\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-4)\/(-1)*75\/(-30450)?\nAnswer: 2\/203","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*j - 7*j + 7*j + 2*j - 8*j to the form u + a*j and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g**2\/7 + 456*g\/7 + 8664\/7 = 0. Calculate g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10582 is divided by 163.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -896, -900, -904, -908, -912?\n\"Answer: -4*q - 892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (-1*sqrt(117))**2*4) + (2*sqrt(117)*2)**2 + (-4*-1*sqrt(117) - sqrt(117) - sqrt(117)) + ((-1 + sqrt(117) + -5)**2 - sqrt(117)).\nAnswer: -30*sqrt(13) + 1557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c + 38. Let l be w(18). Does 18 divide (-18 + 21)\/(1*l\/106)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1362*z**2 - 456*z**2 - 453*z**2 - 453*z**2 - 480*z**3.\nAnswer: -480*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 133326648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7549 is divided by 3772?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 11*x**2 + x - 13. Let s be q(11). Let b = s + -9. Let g = b + 15. Solve -5*i + g*p = -2 - 13, 0 = -2*i + 2*p + 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40\/3 at most as big as 1646?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 1184840\nAnswer: 3\/1184840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - (-36342)\/(-2601) - -7. Is c bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*a + 581*a - 167*a.\nAnswer: 224*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -104? (a) 3.08 (b) -5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 320*u**2 - 239*u - 11. Let h(a) = -105*a**2 + 80*a + 4. Let i(r) = -11*h(r) - 4*l(r). Find the second derivative of i(b) wrt b.\nAnswer: -250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26938c (base 13) in base 5?\nAnswer: -214344343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*v + 8*v - 120 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20*4\/(-384))\/(1680\/(-224))?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h = 16*h + 3*y + 39608, -158341 = -4*h - y. What are the prime factors of h?\nAnswer: 31, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6965 divided by -7\nAnswer: -995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 5*n + 3*n + j, 4*n + 4*j = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 2, g: 2, w: 1, n: 2, v: 1, j: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 6 = 2*c + 3*t, -2*t - 4 = -4*c. Suppose q - 5*h - 2775 = c, h - 1766 - 1033 = -q. Let i = q - 1042. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -354. Suppose -17*z + 26*z - 360 = 0. Suppose x + z = p. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = -3*b + 260. Let m = 97 - b. Suppose m = 7*d + 5. Sort 4, d, 0, -4 in increasing order.\nAnswer: -4, 0, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 429 - -200. Let j = a - 162. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 30*c + 58. What are the prime factors of o(31)?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(12)*1)\/sqrt(6) + -3.\nAnswer: -3 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 76652238 or 229956715\/3?\nAnswer: 229956715\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 15758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + (-4 + (-1 + sqrt(425) - (2*sqrt(17) + 4)))*4))**2*4.\nAnswer: -33696*sqrt(17) + 142884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 r when three letters picked without replacement from ururrrrrrrrrrrrrrr.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1.71383g?\nAnswer: 1713830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -31 + -9 + -2*1\/(-2). Let z = g - -29. Let s = z + 52. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -262122 divided by 37446\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 810, 1570, 2208, 2664, 2878, 2790, 2340, 1468?\n\"Answer: -10*w**3 - w**2 + 833*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -48. Let h = b - 8. Suppose h = -4*z + 2. What is the closest to 0 in 0.2, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 times -32472?\nAnswer: -7046424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-117))\/((2\/6)\/(-1))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1904857156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from {p: 1, b: 1, t: 18}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + t = 2*j + 5, 5*j = -t - 6. Let y be 10\/14 + (-4)\/(-14). Which is the closest to y? (a) -0.1 (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -15*a**2. Let l(w) be the third derivative of -5*w**4\/24 + 4*w**2 - 3. Give l(t(b)).\nAnswer: 75*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 2*f**8\/35 + 8*f**7\/75 - 173*f**6\/300 - 37*f**5\/25 - 19*f**4\/15 - 8*f**3\/15 + 16*f**2 - 3. Determine h, given that d(h) = 0.\nAnswer: -2, -2\/3, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 7.15617954239?\nAnswer: 5.15617954239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**3\/4 - 213525*m**2\/2 - 854091*m\/4 - 106761 = 0.\nAnswer: -142348, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 25\/30 + 9\/(-6). Which is the closest to -2? (a) 2\/11 (b) 0 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (21*18\/252)\/((-6)\/(-8)). Find w such that -5\/4*w - 15\/4*w**3 + 5*w**t + 0 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2 + sqrt(720) - sqrt(720))**2 + sqrt(5) + ((sqrt(5) + (sqrt(245) - sqrt(5)) + 2)*-1)**2.\nAnswer: 29*sqrt(5) + 257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 113, -84, 139, 992, 2685?\n\"Answer: 35*a**3 - 442*a + 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, k: 4, m: 2, e: 2, a: 1}. Give prob of picking 2 k, 1 e, and 1 m.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*w + 1 = -w, -2*w = -5*c. Solve 4*j + 14 = c, 2*d - 5*j = 21 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 - -1)\/((-4)\/(-6)). Let p(h) = -2*h - 8. Let y be p(m). Let w = 13 - y. Calculate the highest common factor of 72 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -2\/11 (c) -0.2 (d) -0.013 (e) -2\/13 (f) 3\/1904\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 60 = -7*y. Is (-1524)\/(-8)*y\/(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17815.53 millennia in decades?\nAnswer: 1781553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/3 - (1 - -1). Suppose u*d = -11*d + 2*d. Solve d = p + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3071 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-4466)\/(-957))\/((-14)\/(-2))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {l: 8, c: 5}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12051915?\nAnswer: 3, 5, 803461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 1230.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 8:40 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 22. Let z be g(-13). Suppose 2*l = z - 1. Suppose -5 = l*w - 3*w. Let b(u) = -u**3 - 7*u**2 - 8*u - 6. Calculate b(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 13 = t, -2 - 3 = 3*w + 4*t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1494)\/81 + 4\/9. Let r be 99\/22*(-8)\/u. Suppose -7*t + 4*t + 9 = 0. Solve 12 = -2*y - j, 5*y - r*j = t*j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(63)\/sqrt(9)*6)**2 + sqrt(7) + (sqrt(63) - sqrt(7) - sqrt(7)) + -5 + -1.\nAnswer: -58*sqrt(7) + 271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5812389 is divided by 581190?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17805011.\nAnswer: 7, 2543573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 - 4*c**3 + 4*c**3)*(-6*c + c + 0*c - 3 + 3 - c + (5*c - 2*c - 2*c)*(-2 + 2 + 2) + (-5*c + 5*c + 3*c)*(-1 + 0 - 1)).\nAnswer: 20*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -125?\nAnswer: 4\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -561.7 and -0.4.\nAnswer: -562.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -419 (base 11) to base 5\nAnswer: -4004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4653435 and 9.\nAnswer: 41880915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1684 + 21942\/13. Find the common denominator of z and (-1 - -4) + 1840\/(-128).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*d - 516 = 102 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5100) + sqrt(5100)*1 + sqrt(51))\/(-1*sqrt(3)*3).\nAnswer: -7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y - 21*y**2 - y + 42*y**2 - 18*y**2 to g*y + m + c*y**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from tttsttssststs.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*(-2 + sqrt(448) + sqrt(448)*2*-2 + sqrt(448)))**2.\nAnswer: 3456*sqrt(7) + 96984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1843216?\nAnswer: 2, 115201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 792 and 177760.\nAnswer: 1599840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o - 2. Let u(i) = i - 1. Let w(m) = f(m) + 5*u(m). Differentiate w(s) wrt s.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**4\/32 + 5*x**3\/12 + 487*x**2\/16 + 119*x\/2 - 251. Factor p(u).\nAnswer: -(u - 28)*(u + 1)*(u + 17)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 3, -1\/5, -2\/3, 7\/2, -12.421, 2, -0.3?\nAnswer: -12.421","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16344147 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -163737 smaller than -163729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15677676 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5602 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 3*k**2 + 11*k + 5. Let c be w(-5). Suppose -4*n = -3*i + 10, -i + 4*n = -c*i + 2. What is the units digit of 3464\/40 + i\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*426.218.\nAnswer: 42.6218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3840 and 512.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13115.\nAnswer: 5, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 4*l - 2. Suppose 0 = -3*z + 4*z - 23. Suppose 17*c = z*c + 24. Let m(g) = g**2 - 5*g + 3. Give c*w(o) - 3*m(o).\nAnswer: o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = p - 40638, 8124 = -20*r + 21*r + 2*p. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 - 92*s**2 + 83*s + 114. Is g(-47) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37375892?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 99*s**2 + 3*s - 267. What is u(99)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m - 3*m + m + (m - 3*m + 0*m + (4 + 0 - 2)*(-2*m - 1 + 1))*(3 + 8 - 9).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16630 - a + 4*a**2 - 6560 + 2*a**2 + a**2.\nAnswer: 7*a**2 - a - 23190","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -3 (c) 130\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.13 from -0.37.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 275557 and 17651?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**4\/3 - 7*u. Let y(j) = -3*j. Determine y(p(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -k + 3, k + s - 6*s + 25 = 0. Let j(w) = -w**3 - 4*w**2 + 4*w + 3. Determine j(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -324 - -324.00137. What is g rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1558560 and 3117120?\nAnswer: 3117120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((m**(-1\/8)\/m*m)\/m)\/m)**(-6\/11))**(-32))**(3\/25))**24 assuming m is positive.\nAnswer: m**(-29376\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 5*n**2 - 2*n + 4. Suppose -4*j - 12 = -5*k + 4*k, 2*k + j = 6. Suppose k*b + 15 + 1 = 0. Calculate y(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26\/6439 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/56*0*(8 - 9). Let q(s) be the second derivative of -5\/4*s**5 + 0*s**4 + 0 - 24*s + z*s**2 + 5*s**3. Find the second derivative of q(u) wrt u.\nAnswer: -150*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88046403 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 6. Let q = -2.069 - -0.069. What is the smallest value in q, g, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12210120112031 - 0?\nAnswer: 12210120112031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 97 = -178. What is the greatest common factor of 11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1926690 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 160*r**2 + 170*r**2 - 26 - 431*r**2 + 148*r**2 - 2*r as m + i*r + f*r**2 and give m.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**6\/180 + j**5\/60 - j**4\/6 + 3*j**2. Let o(s) be the second derivative of l(s). Differentiate o(y) wrt y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09749 in -5, -0.3, -0.37, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2315790 and 1543860.\nAnswer: 4631580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 0)\/(5\/2 + -3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d + d + d)*(-2 + 0 + 0)*(309*d + 6265468 - 6265468) to y + c*d + q*d**2 and give q.\nAnswer: 618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.003 + -14.597. Let u = i - -15. Let d = -4048\/17 + 238. Put 0.2, u, d in decreasing order.\nAnswer: u, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -5. Let v = 35 - 20. Solve -g*s - s = -v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -5.1. Let z = d - 0.9. Which is bigger: 4 or z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 822*b + 1675*b - 832*b.\nAnswer: 21*b + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -210652 or -780?\nAnswer: -210652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53133075 and 332775?\nAnswer: 159399225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -10*k**2 + 0*k + 11*k**2 + 3*k - 4*k. Let x(d) = -d**2 + 3*d - 1. Let h(c) = c + 3. Let r be h(-4). Calculate r*x(w) - 2*u(w).\nAnswer: -w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276 = 137*z - 270*z + 127*z for z.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h + 64. Let g(b) = 12*b - 192. Let x(l) = -3*g(l) - 8*z(l). Does 32 divide x(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -4. What are the prime factors of 2 + -1*7\/l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v + 4 = -68 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/8*0)\/3. Let q be (-1300 + o)*(7 - 397). What is q rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, o: 3}. Give prob of sequence po.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**2 + 523782*m - 22862298627 = 0.\nAnswer: 87297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*(-2 + 12))\/2. Let v = 7 - -17. Suppose -5*j - 4 = -14. Solve 4*a - v = -x, 2*a - l*x + 2 = -j*x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2795, -5625, -8465, -11321, -14199?\n\"Answer: -z**3 + z**2 - 2826*z + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1588\/3995 - -2\/799. Which is the nearest to 12? (a) w (b) -1\/4 (c) 0.1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c - 4 = 25*c - 4*a, -c - 3*a + 3 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**4 - 57976*p**3 - 296843904*p**2 - 650061013896*p - 519739764227964.\nAnswer: -4*(p + 2751)**3*(p + 6241)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 34 = -3*w - 55, 2*w + 5*u + 52 = 0. Let z be (-7 - -6)\/(1\/w). Suppose -4*q + z = -17. Solve i = -2*i + q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/2)\/(d\/d**(2\/19)))\/((d**(-8)\/d)\/(d*d**26)) assuming d is positive.\nAnswer: d**(1353\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29699500373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4622752 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -985301 and 25681440.\nAnswer: 24696139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*5\/(-9)*((-1728)\/280)\/(-12)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 3*a + 3. Let x = -2 - -4. Suppose -2*l = k + 6, 3*k + x*k = -3*l - 2. What is j(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*o = -2054 + 230 for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 2050 = 5*z. Suppose 3*u + 123 = 5*b, 3*u - 8*u + 3*b - z = 0. Let i = 62 + u. What is the smallest common multiple of 18 and i?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1852*r + 1482. Does 43 divide p(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 f when four letters picked without replacement from {f: 5, i: 7, q: 7}?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 815253 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**6\/150 - p**5\/30 + p**4\/30 - p**2\/2 - 8. Let s(r) be the second derivative of u(r). Determine d so that s(d) = 0.\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 70*z**2 + 2*z. Let a(w) = -318*w + 1. Determine a(j(h)).\nAnswer: -22260*h**2 - 636*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -19. Is d greater than or equal to 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttcmtsasstsscmsm. Give prob of picking 1 a and 3 t.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -149 - -158. Suppose -2*k + k = b*k. Factor 2\/9*f**4 + 2\/9*f**3 - 4\/9*f**2 + 0*f + k.\nAnswer: 2*f**2*(f - 1)*(f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 358?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101 - 35. Let b = 74 - u. Calculate the remainder when 38 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.04 - 1. Let u = -3.04 + p. Let y = u - -4. Which is the second smallest value? (a) y (b) 2 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8538, 34150, 76836, 136596?\nAnswer: 213430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 + -51. Suppose 3*z - 3*q - 45 = 0, -z - a*q - 15 = 2*q. Does 12 divide 637\/28 + z\/8 + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4 - 555*l**3 + 1098*l**2.\nAnswer: 3*l**2*(l - 183)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10388657 is divided by 5194312.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 37\/(-13) + 2 - -1. Let q = w + 35\/26. Let y = -0.8 - -1.1. Put 1, q, y in increasing order.\nAnswer: y, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 137 = -11. Let l be (16\/(-48))\/(1\/a). Is ((-1345)\/(-2))\/(4 - l\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 4*m + 102. Let z = -15 + m. Solve 2*q = 5*d + z, -3*q + 1 = -5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.224373 + -550?\nAnswer: -550.224373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.24 and 3.79654.\nAnswer: 4.03654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 9:49 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p**2 - p. Let q(n) = -14*n**2 + 2*n. Let u = 42 + -33. Let c(j) = u*k(j) + 4*q(j). Determine c(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88392 minus 8.4?\nAnswer: -88400.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**3\/7 + 27*x**2 + 180*x\/7 - 372\/7 = 0.\nAnswer: -62, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.4, -1\/26 in descending order.\nAnswer: 0.4, 0, -1\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72887698.\nAnswer: 2, 13, 1087, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 29\/8 + 5\/(80\/6). Solve h = 2*h + z - c, 0 = -3*h - 5*z + 22 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 32\/9 (c) 8 (d) 1\/2 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 3*x + 62 = 37, -3*m - 2*x + 5 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i. Let l(k) be the first derivative of -k**6\/180 + 17*k**3\/3 - 9. Let b(g) be the third derivative of l(g). Determine b(v(d)).\nAnswer: -50*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 664 is divided by 251.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 427 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 15. Let t be x(9). Let c = -19 - -3. Let s = t - c. Solve p = -4*b + s, -4*p = -b - 6 + 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**2 + 13*w + 1. Suppose 0 = -5*g - 5*p + 5, -5*p + 3*p = -5*g + 33. Let a(f) = -2*f**2 - 9*f - 1. What is g*n(q) + 7*a(q)?\nAnswer: q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 4*i + 5. Let x(k) = -5*k**3 - k**2 - k - 1. Let s be x(-1). What is the remainder when m(s) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.151620171 to 5 decimal places.\nAnswer: 0.15162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 251969.8 millimeters?\nAnswer: 251969800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**3 + 7*h**2 + 47*h - 4. Determine y(-4).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 55421982 divided by -3\nAnswer: -18473994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3172 is divided by 1901?\nAnswer: 1271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 - 2356244*t - 11781269. Determine w(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11296100 divided by 10\nAnswer: 1129610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1516 - -0.1546. Is 0.3 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3028892218.\nAnswer: 2, 11, 23, 109, 54917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -9. Suppose -h*l + 18 = 2. Suppose 3*b - 2*b**3 + 2*b**2 + 0*b**3 - 3*b**4 + 1 - 4*b**3 - b**5 + l*b**3 = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -499*k + 2 - 2960*k + 326*k.\nAnswer: -3133*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 12:31 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 2*p**2 - 4. Let i be w(3). Let h(x) = 7*x**2 - x**3 - 4 + 7 + 5*x + 5. What is the remainder when h(i) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13283805?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4334)\/330*(-96)\/(-10). Let j = 126 + g. What is the third smallest value in -2, j, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 440 and 160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 234*t**2 + 229*t + 948. Determine w(233).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t**2 - 9*t**2 - t**2)*(-3*t + t - 2 + t) to the form w*t**3 + n + h*t + l*t**2 and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*r**4 + 21*r**3 - 10*r**2 - 3*r wrt r.\nAnswer: 624*r + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**3 + 12*v**2 + 3*v + 4. Give i(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 0.65359\nAnswer: 0.15359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t**3 - 673*t**2 - 836*t - 168. Give j(-167).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 6\/11, -113, 2837?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-69) - (-786614)\/(-16721).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 - -49. What is the nearest to 0 in -0.1, a, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d - 1. Suppose 5*c - 4*a = 90, -4*c + 72 = 19*a - 17*a. Suppose -11*k + 103 = -c. What is the remainder when k is divided by h(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3 + 1 = x, 5*x - 20 = 4*s. Solve 4*c + x = 0, -4*z - c + 20 = -5*c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**4 - 23*m**3 + 189*m**2 - 637*m + 686 = 0?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*i**2 - 228 - 41*i**2 + 33*i**3 + 224 + 2*i**4 to the form l*i**4 + y*i**2 + m + f*i**3 + o*i and give f.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638 is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 - 9*m**2 + 6*m + 9. Let h be d(-5). Suppose 5 = i, -4*c - 2*i = -h*i + 2. What is the lowest common multiple of (-3 - -4)\/(3\/6) and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 965.\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -212 + 218. Let n(z) = 6*z + 186. What is the tens digit of n(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538038587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-156))\/((-10*3\/144)\/((-135)\/72))?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3577*z**3 - 299*z**2 + 5*z + 1. Let i(j) = -2*j**3 - j**2 + 2*j + 1. Let c(s) = -i(s) + r(s). What is the third derivative of c(x) wrt x?\nAnswer: -21450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6*b - 13. Give j(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 15460*w = -15458*w - 40, 3*j = w + 68 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20223*i**3 + 32502.\nAnswer: 60669*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001366 rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 + 6*n**2 - 7*n - 5. Let d(l) = -5*l**3 + 17*l**2 - 20*l - 14. Determine 6*d(r) - 17*p(r).\nAnswer: 4*r**3 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 - 482*c**3 - 211*c + 830*c**3 + 211*c + 969*c**3.\nAnswer: 1317*c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 312603123 and 509201?\nAnswer: 3438634353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**(-6))\/u)\/u)\/u*u)**40 assuming u is positive.\nAnswer: u**200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.1 (b) -0.5 (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.75 - 299647?\nAnswer: -299646.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -361 + 370. Calculate the smallest common multiple of t and 227.\nAnswer: 2043","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 175448*g. Let z(i) = 3*i - 9. Determine l(z(f)).\nAnswer: 526344*f - 1579032","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2966, 13342, 31128, 56324?\nAnswer: 88930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + sqrt(448)).\nAnswer: 2 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 163981819 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25601, 5\/3, 6.\nAnswer: -25601, 5\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1461 = q - 6126, -5*m = -2*q + 9339. Suppose 0 = 2*b - 3*u - 4654, 10*u - q = -2*b + 11*u. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 4 = 32 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-27)*6\/(-16)*(-136)\/1173?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/3 (b) -1772 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 31?\nAnswer: 12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 5 + -13 + 7 - 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 15690550?\nAnswer: 47071650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 464, 934, 1342, 1658, 1852, 1894, 1754?\nAnswer: 1402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 18071 divided by 1\nAnswer: 18071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in -2\/17, -0.3, -0.253, 0.5, 0.116, 2.6?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101011100101 - -2?\nAnswer: -101011100022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**3 + 801*x**2 - 798*x - 1600 = 0.\nAnswer: -1, 2, 800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)\/(sqrt(45)\/sqrt(9) + sqrt(5)))\/(sqrt(72)*2))**2*3.\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*j - 141046 + 1257479 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -3*o**2\/2 + 10. Let i(b) = 5*b**2. Give l(i(j)).\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/6)\/(4\/45). Suppose -2*i + 319 = 3*w + 310, -15 = -4*i - 3*w. Which is smaller: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, -7, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 728\/3069?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -27*t**2 + 5*t - 3. What is m(1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/16*-4 - (-11)\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 889014954 to the nearest integer?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 7. Suppose -56 = -5*f + b, -a*f - 3*b + 8 = -33. What is the greatest common factor of 11 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajjmmjmscszzzaa. What is prob of sequence sm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*d + 20 + 6 = 0, 3*d = 4*i + 16. Let o(l) = -20*l**3 + 11*l**2 + 9*l + 19. Is o(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**3)\/(j**(-7)\/j)*(j**(-3\/5)\/j)**(-2\/55))**(5\/4) assuming j is positive.\nAnswer: j**(829\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 4, -3, -17150, 1 in ascending order.\nAnswer: -17150, -3, 1, 4, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 9*t**5\/80 + t**4\/8 - t**3\/8 + 32*t - 35. Let z(k) be the first derivative of w(k). Factor z(v).\nAnswer: 3*v*(v + 1)*(3*v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209140 = -8*p + 122300. What are the prime factors of p?\nAnswer: 2, 3, 5, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 17*n**3 - 18*n**2 - 8*n. Let q(t) = 11*t**3 - 12*t**2 - 5*t. Let k(w) = -5*o(w) + 8*q(w). Factor k(d).\nAnswer: 3*d**2*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2 - (-28)\/18) + 96*450\/(-38880)\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 15513078.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/84 - (0 + -1). Let j = u - 47\/28. Which is the biggest value? (a) -2 (b) j (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 8:33 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24740868 and 20?\nAnswer: 123704340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43075.\nAnswer: 5, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 93 - 88. Let a be (1 + 1\/(-3))*3. Let m be (-44)\/(-7) - a\/7. Solve -2*t - 2*p + m = 0, -q*p = -t + 9 - 36 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-10)\/(-3 - -1). Suppose -2 = -4*y - s. Let t(k) = -2*k**3 + 2*k**2 + k. Determine t(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*9\/(-12)*-2*-2. Differentiate 22 + 345*s**3 - 2*s**4 - 345*s**j with respect to s.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -3 + 3*h - 4*h**3 - 9\/2*h**2. Factor d(x).\nAnswer: -3*(x + 1)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.56 + 3.6. Are -1 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 6*q - 2*q)*(-1 + 0 - 7)*(-24*q + 35*q + 9*q).\nAnswer: 800*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 235*k**4\/4 + 1459*k**3\/6 + k**2\/2 - 191*k - 1. Find the second derivative of h(u) wrt u.\nAnswer: 1410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 1:14 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 10*z - 15 = 0. Let b = -151 - -153. Sort b, -2, z in descending order.\nAnswer: z, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 300 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l + 3. Let x be v(-4). Does -9 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -129194*n**4 - 20*n - 61104813 with respect to n.\nAnswer: -516776*n**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6889577 years to decades.\nAnswer: 0.06889577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**6\/40 - 5*o**3\/3 + 23*o**2. Differentiate f(y) with respect to y.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303 + 603 + 425 = 141*s - 121 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 + -1)*(-9)\/15. Let p(s) be the first derivative of 1\/3*s**3 - 1\/2*s**2 - 4 + 2*s. Give p(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 3800.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, h: 1, x: 4}. What is prob of sequence vxxv?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 48\/128 - -9*(-10)\/(-16). Which is the biggest value? (a) -1 (b) 39 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 109.69996855 + -109.7. What is w rounded to 6 dps?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/8)\/(3\/26). Suppose -4*x - 3*t = 10, -99 = -2*t - 95. Which is the closest to o? (a) -1 (b) -0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 8*c**2 - 10*c + 7. Let l be t(9). Let a be (10\/(-105))\/((-6)\/(-14)). What is the third smallest value in 0.5, l, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5*v. Let d be r(-7). Suppose d = 4*t + t. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 743, 20180.\nAnswer: 1, 743, 20180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - f = -2*d + 32, -5*f - 6 = -2*d. Let k(h) = 11*h + 25. Let l(t) = -7*t - 17. Let z(r) = 5*k(r) + 8*l(r). Calculate z(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15, 36, 71, 120, 183, 260?\n\"Answer: 7*j**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-3 + 2) - 3. Let p(w) = -2*w**2 + 273*w - 1685. Let c be p(6). Put -3, y, c in descending order.\nAnswer: y, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5)\/o)\/((o*(((o**4\/o)\/o)\/o)\/o)\/o))\/((o\/(o*o**7))\/o)**(-32) assuming o is positive.\nAnswer: o**(-262)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.94 + 0.06. Let k = i - 9. Let d = k - 5. Do d and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4213805340 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 83*o**5 - 83*o**5 - o + 14*o**2 + 7*o**2 + 171*o**6 wrt o?\nAnswer: 20520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -106*y**3\/5 + 94*y**2\/5 + 224*y\/5 + 24\/5 = 0.\nAnswer: -1, -6\/53, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*x - x - 4*z, -5*x + 2*z = 13. Let w = 1 + x. Does 7 divide (-5 - 2)*(w - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 277 - 275. Solve -3*j + 4*n = -2*j + 5, n = -k*j - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/27678 and -51\/48427274?\nAnswer: 145281822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 139665477 to the power of 1\/4, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3 = 0, -5*y + y = 5*x + 1. Let q be x\/(-1)*5 - 4\/(-1). Suppose 2*j - 4*o = -7*o + 3, 0 = 2*j + o - 1. Solve -h = -n, -4*h + q = -j*n + 5*n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = t + 1, 0 = -t + 5*m + 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -4*o - 28, 26 = -2*o + 47*b - 40*b for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 + 42. What is the greatest common divisor of 7 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4, 34, 84, 154, 244?\n\"Answer: 10*z**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -471, -994, -1517?\n\"Answer: -523*s + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 718260.4mm in meters?\nAnswer: 718.2604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 618 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 3*p + 2, 4*l = 2*p + 3*l - 6. Suppose 4*z = -3*v + 27 - 12, -5*v + p = -z. Suppose z*x - x = 0. Solve -4*m + x*m + 4 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 113\/3 - 37. Let c be (9\/6 - 2)*20\/6. What is the smallest value in r, c, -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j. Let m(c) = -1 - 381*c + 401*c + 5. Let z(g) = m(g) + 10*s(g). Differentiate z(d) with respect to d.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3855, 7710, 11565, 15420, 19275?\n\"Answer: 3855*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*p - 35 - 160*p + 236*p - 5*p**2 + 35 - 2*p**2.\nAnswer: -7*p**2 - 42*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*c - 61 = -6*x, -x = 4*c - 18. Let q = 40 - x. Let 3\/2 + q*d + 1\/2*d**2 = 0. Calculate d.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.2 minus 9.50545957?\nAnswer: 2.69454043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*9\/(-99)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**4\/16 - 2*j**3 - 891*j**2\/8 - j + 90. Factor o(q).\nAnswer: 3*(q - 27)*(q + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21, 184, 659, 1602, 3169, 5516?\n\"Answer: 26*g**3 - 19*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-550)*(-1)\/(-1)*45\/6.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1412 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -12863, -941, -3, -4 in ascending order.\nAnswer: -12863, -941, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7005*x + 7010*x = -2*r + 18, -4*x + r + 17 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75273644*c**5 - 2*c**2 + 158170769*c.\nAnswer: 1505472880*c**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*k**3 - 7*k**2 + 288 wrt k?\nAnswer: 18*k**2 - 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173217.\nAnswer: 3, 11, 29, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6 + -44 + 42 + (23 - 81 - 10)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from oooooccoocc?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10758 divided by 22?\nAnswer: -489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/7 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Suppose n = 3*r + 2*w - 16, 4*r + w = -w + 18. Suppose 0 = -7*y + r*y + 15. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1076?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 318407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(500) - 2*sqrt(500)) + sqrt(500))*-1*4 - (-3 + 1*sqrt(500))*-1)**2.\nAnswer: -1018 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t. Suppose -25 = -5*n - l + 5, -4*l + 40 = 4*n. Let s(o) = 3*o**2 + 9*o**2 - n*o**2. Give i(s(f)).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*l**3 - 24*l**3 - 3*l**4 + (4 + 3 + 1)*(4*l**4 - 3*l**2 + 3*l**2).\nAnswer: 29*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 810 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 482 + 205 = -53*m - 373 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ev when two letters picked without replacement from {b: 3, e: 1, s: 8, v: 1, u: 5, d: 2}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/11 - 42*z**2 - 1874*z\/11 - 1410\/11.\nAnswer: 2*(z - 235)*(z + 1)*(z + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*c + 120 = -61*c. Suppose 9*u = -3*u + c. Solve -2*l = u*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (6 - -42)) + 26 + -7.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of 0 - 1\/6*b**4 + 0*b**3 + b**2 + 0*b. Let x(m) = -17*m. Let n(k) = 26*o(k) - 6*x(k). Let c(g) = -2*g. What is c(n(l))?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2 - 2*n - 9 + 88*n + 35*n. Let v be d(2). Let m = -143 + v. What is the highest common divisor of m and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*m)*(3*m + m**4 - 3*m)*(994 - 467 + 1093 + 407).\nAnswer: -6081*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12\/7 (b) 377072 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**5\/60 - 2*v**4\/3 + 4*v**3 + v**2 + 10. Let h = -20 - -36. Calculate the remainder when w(-13) is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -17. Factor -8*t + 4 - 4*t**2 + 0*t + 5*t + t**3 + i*t.\nAnswer: (t - 4)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3\/5 - 5238*w**2\/5 - 553587*w\/5.\nAnswer: -3*w*(w + 113)*(w + 1633)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40590*y = 40584*y + 12. Sort y, -535, 1.\nAnswer: -535, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h - 6. Let s be h*(0 - -1) - 1. What is the units digit of 1*(-21)\/12*s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323411 (base 5) in base 2?\nAnswer: 10101101100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12521551 - 174?\nAnswer: -12521745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 6:21 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 1 + 4, -z - 5*b + 23 = 0. Let w(s) be the second derivative of s**4\/12 - s**2 + s. Calculate w(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*p = 228, p = -5*u - 3*p - 402. Let t = u - -141. Suppose -d + 117 = -t. Is d a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 4:16 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1060306 and 1196?\nAnswer: 48774076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*o*v**2 + 394*o*v + 105730*v**2 wrt o.\nAnswer: -23*v**2 + 394*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/((-147)\/350))\/((-57)\/(3762\/44)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-21))**39*(i*i**19)**4 assuming i is positive.\nAnswer: i**(-739)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/2 - -2)*1. Suppose -a + 4*f - 9 = 0, 4*a = 3*a + 2*f - 9. Let p be a\/54 - (-1)\/(-3). Put 2\/3, p, k in descending order.\nAnswer: 2\/3, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/55))\/v**(-1\/7)*(v**10*v)\/v**(-8\/3) assuming v is positive.\nAnswer: v**(17063\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mlmi when four letters picked without replacement from mmlgmimgglmrmmiiir.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 3:22 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007026024 rounded to seven dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6*l = -2*l + 3, -2*z + 5*l = 5. Suppose 2*c + 57 = z*c. What is the remainder when c is divided by (-4)\/(-16)*88\/(-6)*-3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 63*p**2 - 254*p + 6. What is b(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**2 + 6*k**2 + k**2. Let q = -2 - 0. Let s(a) = -a. Let o(g) = 2*g. Let l(y) = q*o(y) - 3*s(y). Give l(z(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 4*b - 4*f + 548, -2*b + 2*f = -254. Let y = -69 + b. Suppose -y = -2*w - 5*p, -5*p - 94 + 13 = -4*w. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 7:59 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001001000000000 (base 2) in base 6?\nAnswer: 2524052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to -1.1469474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/18*2)\/(8\/(-24)). Solve 2*b = -h - 3*b - 23, -4*h + s*b = -28 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u**2. Suppose 0*n - 8*n = -16. Suppose 0 = -n*c + 1566 + 496. Let h(q) = -3*q - 1031 + c. Calculate s(h(t)).\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-3 - -9 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/7)\/h)\/h*h)**(-2\/27)\/(h**(2\/13)*h\/(h\/(h\/((h*h*h**(-7)*h)\/h))))*(h**(-2\/7))**(-1\/50)*(h*h*h*h**(-4)*h)\/h**(1\/4) assuming h is positive.\nAnswer: h**(-172069\/27300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from fqnqqaqnnqaaqw.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 8) in base 7?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/(-14)*(-2)\/9*(-158)\/632.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 927*z**3 - 1361*z - 937*z**3 + 16*z.\nAnswer: -10*z**3 - 1345*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -15*d**2 + 5*d - 5. Let m(r) = -r**2 + r - 1. Let c(i) = -5*m(i) + t(i). Let j be -2 + (3 - 2 - -1). Let u(g) = j*g - g + g - g**2. What is u(c(w))?\nAnswer: -100*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*u**3 - 2 - 376*u**2 + 2 + 17*u**3 + 80*u**2.\nAnswer: -2*u**3 - 296*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-4 - (3 - 5)) + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 1\/1005161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 139 and 32?\nAnswer: 4448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**2 + 8. Determine k(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -157130.5777 - -157156.47769642. Let s = q - 25.9. What is s rounded to seven decimal places?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + 0*a**2 + 0*a**2)*(-7*a**2 + 2*a**2 + 3*a**2) + a**5 - 3*a**5 + 0*a**5 - 66*a**3 + 67*a**3 - 17*a**5 - 4*a**5.\nAnswer: -19*a**5 + a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 30\/11, 3 in descending order.\nAnswer: 4, 3, 30\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/11, -94, -1, 0.2, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12 + 387\/36 - (-22)\/(-8). What is the closest to 2\/5 in 2\/11, w, 3\/10, 5?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1934049 or 1934050?\nAnswer: 1934050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*t = -157 - 30, 3*p - 144 = 3*t. Calculate the remainder when 625 is divided by p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 f when three letters picked without replacement from fzfffz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**7\/210 - 13*d**6\/90 + 107*d**5\/180 - 5*d**4\/12 - d**2 + 295. Suppose t(b) = 0. Calculate b.\nAnswer: 0, 1\/3, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 7*l**2 + 8*l - 5. Let r be d(8). Let a = 3.2 - 3.3. Let u = -50 + 344\/7. What is the nearest to a in -0.2, r, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2\/5 + 32881*t\/5 - 98598 = 0. Calculate t.\nAnswer: 15, 32866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -0.2 (b) -2406 (c) 0.4 (d) -16\/117\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34 and -1662.\nAnswer: 56508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -7. Calculate the common denominator of (-223)\/21 + (10\/(-35))\/(-1) and (z + -29)\/(9\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o + 81046 = 2*y, -2*y + 73758 = 2*o - 7380. What are the prime factors of y?\nAnswer: 13, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d**5 + 2294*d**4 - 116366*d**3 - 85430*d**2 + 759504*d - 282744 = 0 for d.\nAnswer: -3, 2\/5, 2, 77, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-126)\/(-7))\/((-3)\/(-2) + 0). Solve 0 = 5*a - 13 - k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 4*b + 21 - 22, 3*b - 6*b - 35 = -4*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**5\/60 + m**4\/3 + 8*m**3\/3 + 21*m**2. Determine f, given that z(f) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00751 rounded to 4 dps?\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20 (b) -1 (c) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 282592445?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1619 = -v - 3*v + 5*f, -v + f = -405. Let q = 710 - v. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d + 77*d + 29*d - 45*d + 54. Let c(m) = -133*m - 109. Let q(k) = -3*c(k) - 5*y(k). What is the first derivative of q(p) wrt p?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 5*w - 51, -l - 2*l - 89 = -5*w. Which is greater: l or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.97 (b) 0.09 (c) 3 (d) 5 (e) 2\/9 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 9469785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkggklkglllgl. What is prob of picking 1 l, 1 k, and 1 g?\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 490 + -489.197. Let g = -1.103 + p. Sort -3, -13, g, -1\/3 in decreasing order.\nAnswer: g, -1\/3, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = z - 34. Suppose -8*u + 12 = z. Let k be ((-12)\/(-9))\/((-5)\/(45\/u)). Calculate the greatest common divisor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*c + r - 14, 50 = 4*c - 2*r. Suppose -3*l = -c - 20. Suppose 2*u + 100 = 3*u. Calculate the greatest common factor of l and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -268445638 less than 190327?\nAnswer: 268635965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330*p + 263*p + 912071 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(3\/4))\/c**(-3))**(7\/6) assuming c is positive.\nAnswer: c**(161\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-105)\/(-14))\/(-5)*6. Let d(o) = -6*o - 70. Determine d(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -93927, -3 in descending order.\nAnswer: 4, -3, -93927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**5 + 5*m**4 - 285*m**3 - 725*m**2 + 1000*m = 0. What is m?\nAnswer: -5, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 7*t - 16. Suppose o - 2*o - t = 0. What is the tens digit of 2\/o + 1 + 1225\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1533*-149\nAnswer: -228417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen fifths of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, c: 2, p: 4, v: 6, t: 2, b: 1}. Give prob of picking 1 b, 2 v, and 1 k.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -63 + -75 - (-3 - 31)\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-2\/3)\/p*p*p**(-7)*(p**(-2\/7)\/p)**(-13) assuming p is positive.\nAnswer: p**(211\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -9\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4533804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329*r**2 - 2474*r - 884*r - 80*r**2 - 256*r**2.\nAnswer: -665*r**2 - 3358*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0 (b) 0.1 (c) 3\/94 (d) 4\/5 (e) -342\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 5:44 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*1602.03\nAnswer: -640.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -31\/2. Which is the nearest to d? (a) 1\/2 (b) -4\/7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333811 take away 0.02032?\nAnswer: 333810.97968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 20, -3 - 1 = -5*h - u. Solve h = -3*x + 5*a - 35, 1 + 6 = x + 3*a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 793 and 53375?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661 is divided by 22.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vllvvvvvv?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -21*s**3 - 2*s**2 - 17*s - 13. Suppose -3*g - 144 = -105. Let x(l) = 10*l**3 + l**2 + 8*l + 6. Give g*x(m) - 6*q(m).\nAnswer: -4*m**3 - m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 divided by 3759?\nAnswer: -59\/3759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488356339.\nAnswer: 488356339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 140 = x. Suppose 5*h = -0*h - x. Let y = h - -73. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, d: 4, a: 6}. Give prob of picking 1 b and 1 d.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 366, 358, 344, 324, 298, 266?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 3:52 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**2 - 3*c + 5. Suppose -12 = -5*z + z. What are the prime factors of n(z)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.963 - -0.2.\nAnswer: -1.763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 21.2. Let k = 2 - 18. Let p be (4\/10)\/(k\/(-10)). What is the closest to 1 in d, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24441489 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -677*g + 678*g - 2*r, -g = -3*r + 27. Let f(n) = -n - 20. Calculate f(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 - 9*q**2 + q - 13. Suppose 0 = -69*w + 72*w - 15. Let m be v(w). Calculate the highest common factor of 391 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 21 (b) 5 (c) 3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/9 + 142\/9. Let z be (-3)\/(-4) + 4\/s. Let k = z + 11. Solve v - 5*v = k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 10) in base 16?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12310688 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 247 + -84. Let i be (-12994)\/(-80) - 1\/(-5). Let n = i - l. What is the third smallest value in n, -2\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/(-17))\/(-8))\/(2\/4)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -24. Let s be x\/(-4) - (-22)\/(-8). Sort -1, 0.5, s, 2\/15.\nAnswer: s, -1, 2\/15, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = k, 3*k + 10 = -k + 2*h. Let n(i) = -2*i - 4. Let s(g) = -1 + g - 2*g + 2*g + 0*g. Let y(a) = k*s(a) + n(a). What is y(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.279957ms to nanoseconds.\nAnswer: 279957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -472, -401, -172, 293, 1072, 2243?\n\"Answer: 13*p**3 + p**2 - 23*p - 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/3))**(-1\/21))**(-2\/5)*(n**(2\/7)*n**(2\/19)\/n)**(-2\/5) assuming n is positive.\nAnswer: n**(1534\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 17*a - 3. Let s(z) = 34*z - 6. Let u(j) = 6*s(j) - 11*v(j). Suppose 8 = 2*i - 0. Is u(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 17*x**2 - 6*x + 6*x. Determine q(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59220 and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4204947 divided by -73771.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 6*s**6\/25 + 363*s**5\/100 - 263*s**4\/20 + 77*s**3\/5 - 36*s**2\/5 + 79*s. Determine l so that c(l) = 0.\nAnswer: -12, 1\/4, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 3*w**2 - w + 5. Let z be g(4). Let u(l) = 20*l**2 + 117*l - 12. Let c be u(-6). Suppose c*h + 29 = z. Sort -0.3, 3\/7, h in ascending order.\nAnswer: h, -0.3, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/5 - 18\/5.\nAnswer: 2*(w - 3)*(w + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411*c + 13368 = 968*c for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 38893244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (700\/15)\/4*(22\/(-10) - -4).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.774 - -1.8. Let o = 0.02667 - h. Round o to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from eoeeoe?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 185424 and 2082 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = s. Let k(d) = 3*d**3 + 2*d**3 - 4*d**3 - 5*d + s*d**3 - 3*d**2. Calculate k(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -748420 divided by 2\nAnswer: -374210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 3 - (-5 - (4 - 17)) - 9.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5, -31, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1502802.66 rounded to the nearest 1000?\nAnswer: -1503000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.73311158 less than -0.5?\nAnswer: 28.23311158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/6336 and 157\/48384.\nAnswer: 532224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -bb018 + 2?\nAnswer: -bb016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 262529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -2*h - 36. Let y be ((-1)\/((-2)\/h))\/(-1). Let s be 18\/48 - (-5025)\/(-2)*(-56)\/1120. Calculate the highest common factor of s and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16843\/27 or -625?\nAnswer: -625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7*b + 2. Let f(q) = -q + 1. Let n be 1 - (1\/((-1)\/2) - -2). Give n*r(h) - 2*f(h).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*((sqrt(27)*2 + 5)**2 + (-2*sqrt(15))\/sqrt(5) + 2).\nAnswer: -406 - 174*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32099\/6 or 5351?\nAnswer: 32099\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 z when three letters picked without replacement from tttzztotzjttoizt?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -4. Let s = -10.1 + v. Which is the third biggest value? (a) -2 (b) s (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - (sqrt(65) + sqrt(65) + sqrt(65) + (-1*sqrt(65) - sqrt(65))*-1 + sqrt(65)))\/(-2*sqrt(720) - sqrt(720)) + -3 + ((sqrt(637) + 1)*2)**2 + 0.\nAnswer: 2021*sqrt(13)\/36 + 2549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.1, -2\/967, 20\/3, -0.05.\nAnswer: -0.05, -2\/967, 20\/3, 8.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1136556 (base 8) to base 5\nAnswer: -34420023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 104?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + 0*r + 4*r)*(-2*r + 0*r - 3*r) - 2257 + 2257 + 47*r**2 as f*r**2 + q + m*r and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3660800 is divided by 305065.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 3. Let l be 3\/(-4) + 3\/(-324)*-57. Which is the closest to g? (a) -0.2 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/16)\/((-1)\/36). Suppose h = 3*j + 3. Is 6\/(-10)*(-375)\/j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*(2 + 2 + (sqrt(70) - -6*2*sqrt(70))\/((sqrt(120) + sqrt(120)*-2)\/sqrt(12))))**2.\nAnswer: -936*sqrt(7) + 10791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 207.20052us in hours?\nAnswer: 0.0000000575557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1991*p = -124755 - 76336 for p.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 370981704643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9216 is divided by 1530?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 52*l + 2859. List the prime factors of x(53).\nAnswer: 5, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -58? (a) 0.5 (b) -0.3 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -383?\nAnswer: 1915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 9*t + 13. Let y be a(-1). Sort y, -26, -28, 1 in decreasing order.\nAnswer: y, 1, -26, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4990302.\nAnswer: 2, 3, 92413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.15 and -42?\nAnswer: 43.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 686301672 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*v + 928 - 928)*(0 - 1 + 2)*(-v + 4*v - 5*v).\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 128 + -90. What is the remainder when b is divided by 6\/(-9)*(-16 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 3*o + 14. Let u(a) = -2*a**2 - 2*a - 1. Let c(y) = -q(y) - u(y). Calculate c(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**7\/5040 + v**5\/60 + 2*v**2. Let f(b) be the third derivative of m(b). Let g(w) = 0 + 5*w**2 + 0. Give f(g(q)).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*v = -239*v + 40 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q. Suppose -3*p - 6 = 4*b + 27, -p - 2*b - 13 = q. Let t = -4 - p. What is the biggest value in t, 0, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -66? (a) -415 (b) 5 (c) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -5. Suppose 0 = -2*n + 4 + l. Suppose -n*x - 3*a = -132, -5*x - a + 32 = -208. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrri when four letters picked without replacement from irrirrrirrrrrr.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -2*m - m**3 + 3*m**3 - m. What is the units digit of i(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 88*a + 159*a + 74 + 69*a - 96*a + 61. List the prime factors of x(3).\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 287.618 + -288. Let g = u + 0.75. Round g to 2 dps.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*m + 45*m = -7. Let j be 2120\/728 + -5 - (-1 - 1). Is j smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 8:20 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 2943617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1360, 751, 2866, 4985, 7108, 9235?\nAnswer: 11366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*d + 13. Suppose -d*w = 3*w. Let c = w - -11. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**9\/19656 + m**8\/10920 + m**3\/6 + m**2. Let x(k) be the first derivative of y(k). Find s, given that x(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t - 8. Let s be z(6). Suppose s*d = 25 - 9. Let l = d + -3. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1807469951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**2 - 10. Let a(h) = -h**2 - 3. Let u(y) = 10*a(y) - 3*n(y). Let f(w) = 2*w. Calculate f(u(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k + 4*q + 1 - 96 = 0, -k - 2*q = -q - 4*q + 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -989 take away 5983091?\nAnswer: -5984080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*c + 5 = -21*c. Let o be ((-404)\/12)\/(c\/27). Let h = 1708 + o. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5\/2)\/i)\/i*i\/(i\/(i\/(i*i**3)))*(i*i**12*i)**45 assuming i is positive.\nAnswer: i**(1245\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 2\/3 (c) 73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 + -3 + 6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 497*f**2 + 1589*f**3 - 791*f**3 + 20501*f - 795*f**3 - 6889.\nAnswer: (f + 83)**2*(3*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -379 + 2654\/7. Is j >= -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 2*x**2 + 638*x - 4608. What is p(8)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 94 = -q + 16, 4*q = 2*z - 72. Suppose 0*k = 2*k + 5*d + 10, -5*k - z = 5*d. Let v = 14 + k. Solve 2*j + 23 = -5*i, -i - v*j = 4 - 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzppzhphh. Give prob of sequence hz.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 8*w - 8 = -3*w - 21, -5*j + 4 - 12 = -3*w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 422740606 + -12683358829\/30. Let b = z + 38027. Calculate the common denominator of 91\/40 and b.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -16*r**3 - 387*r**2 - 89*r - 351. What is b(-24)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2110894398?\nAnswer: 2, 3, 29, 1347953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2893 smaller than 16534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -8628*b**3 - 33*b**2. Let x(u) = -8628*u**3 - 50*u**2. Calculate -3*g(m) + 2*x(m).\nAnswer: 8628*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 5*g**4\/12 - 3*g. Let h(a) = 2*a - 3 + 5*a + 1 - 8*a. Let p(c) = -3*c - 7. Let m(f) = -7*h(f) + 2*p(f). Give u(m(t)).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 486 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 52.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1170 and 3620?\nAnswer: 423540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543 is divided by 263.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/126*53 - 2088\/13398*-11?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**(2\/5)*o)\/o*o))\/o*o)**(-36)*(o*o\/(o**(-1\/2)\/o))**(-16\/5) assuming o is positive.\nAnswer: o**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + s + 0 = -2, 3*o - 4*s - 10 = 0. Let t(a) = a + 1. Let k be t(o). Let c(b) = 21*b**2 - b - 1. List the prime factors of c(k).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -15. Let s = m + 7. Suppose -t - 4 = -3. Which is the nearest to t? (a) -2\/5 (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 17*n**5\/15 - 139*n**3\/6 - 17*n**2. Differentiate k(d) wrt d.\nAnswer: 136*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 - -101301311321?\nAnswer: 101301311230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77)*4)*-3 + sqrt(77) + 3*sqrt(77)*-3 + sqrt(77))\/((sqrt(88)*1*2)\/(-4*sqrt(8)*2)).\nAnswer: 88*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 159439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -0.48 (c) -0.5 (d) 1\/6 (e) 5\/7001\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 150. Let p = b + 54. Let y = p - -77. What is the lowest common multiple of 28 and y?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x. Let v(h) = 52*h**2. Give v(n(y)).\nAnswer: 208*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(21) - sqrt(42)\/sqrt(2)*4) + sqrt(21))\/sqrt(3))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**7\/21 - w**4\/12 + 2*w + 3. Let y(x) be the first derivative of k(x). Find the third derivative of y(b) wrt b.\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - 0. Let s = w + 13. Suppose s*j - 4*p = j + 20, -p = 4*j - 40. Calculate the remainder when j is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -100*w**2. Let l(x) be the first derivative of -2*x**3\/3 + 32. Determine l(y(q)).\nAnswer: -20000*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-0.054361.\nAnswer: -0.0108722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 5*n - 1. Let f be t(5). Let p = 1 + f. Suppose p*j - 5*j + 6 = -2*l, 0 = 4*j + 4*l + 12. Solve -4*u - 4 + 0 = j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 12, r: 1}. What is prob of picking 1 r and 1 f?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15572 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -40, 7, 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19.7 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4214b (base 15) in base 8?\nAnswer: -631212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 107488342 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -65*p**2 - 8*p + 12. Let n be w(-9). Let i = -2881 - n. What is i rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -35, -73, -117, -161, -199, -225?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/58)\/(55676\/496 + -113).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1012 and 1288?\nAnswer: 14168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -7*g + 2*g. Suppose -4*q - 3*h - 69 + 16 = 0, 3*h + g = -q. Let b = 4 - q. What is the remainder when 71 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1081 + -1085. Put 4, -2, k in increasing order.\nAnswer: k, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 3:41 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-6))\/((-8)\/(-16)). Which is the second smallest value? (a) -2\/3 (b) 2\/11 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/14 - 48\/21. Let r = w + 7. Let m be (2 - r)\/((-1)\/6). Solve 4*u = -5*j + 29, 2*u + 5*j - m = 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*g = -6*g - 14, 0 = -5*g. Suppose -y - 1 = -2*q - b, -2*y = q - 31. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 10 + 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -795 + 787.94. Let q = -25.7 - -18.7. Let o = p - q. Which is smaller: o or 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4}. Give prob of sequence qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10 - 348\/36 - 13\/3. Is -40 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**2*u + d**2 + 4938*d*u + 5184*u + 1509529 wrt u.\nAnswer: d**2 + 4938*d + 5184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -6*v - 8. Calculate j(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-202 - -34) - 310?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 1\/((-2)\/(-8)). Suppose -d + 4*w - 9 = 0, -3*d - w = t*d + 45. Let m(j) = j**2 + 10*j + 13. Is 2 a factor of m(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -5*q**4\/12 + q**3\/6 - q**2\/2 - 2*q. Let o(l) = l. Let j(f) = -i(f) + 3*o(f). Let a be j(-1). Solve g = -a*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x + 0*x + 1085*x**3 - 1082*x**3 - 3*x**4 + x**2 in the form i*x**4 + z*x**3 + h + l*x + t*x**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12311509 and 1758787.\nAnswer: 12311509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 6. Let f(j) = j - 12. Let b(k) = -6*f(k) + 10*u(k). Let y be b(7). What is the units digit of ((-304)\/y)\/(2\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 609 + -286. List the prime factors of n.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-18 - 10 - -10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 + -110\/3. Suppose 4*l + 8 = -3*a, -5*a - 2*l + 2 = -3*l. Is a greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -31b954 + -4?\nAnswer: -31b958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 2:46 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8803113.\nAnswer: 3, 11, 24251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (10 - 21 - -7). Let p(u) be the third derivative of -1\/60*u**5 + 0*u + 0*u**3 + 0 + 1\/6*u**4 - 22*u**w. Let g(t) = -2*t. What is p(g(d))?\nAnswer: -4*d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -0.2966 (c) -4 (d) 4 (e) -1974\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z + 42. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -2*o + 4, -2*o + 0*o = 2*i + 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 304617 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-58)\/4*2)\/1. Let o = h - -19. Let p(j) = j + 13. Is p(o) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7293?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -325357958260 - -4.\nAnswer: -325357958256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/12)\/(-16))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -82143102, -82143101, -82143100, -82143099, -82143098?\n\"Answer: g - 82143103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 - 3. Let m(c) = -2*c**3 + 34*c**2 - 2*c - 30. Determine -10*g(d) + m(d).\nAnswer: -2*d**3 + 14*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 + 48. Let k = l - -0.2. What is the smallest value in 0.1, 1, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 11) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 396049565 to the power of 1\/4, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6418.3 - -6418. Let r = -537\/8 + 67. Which is the second smallest value? (a) h (b) -0.4 (c) -1\/10 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.37 and -6256.58522614.\nAnswer: -6256.95522614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1030 and 159296.\nAnswer: 82037440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 10*h + 10. Suppose 8 = 2*d, -31 = 5*i + d + 10. Let u be b(i). List the prime factors of u + -1 - (2 + -15).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -702*p = 61*r - 698*p + 4, -4*p = -4*r + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 139544?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -2*o**3\/3 + 42. Let d(y) = 4*y**2. Determine f(d(j)).\nAnswer: -32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 times -2286?\nAnswer: 54864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1636414, 13, 5.\nAnswer: -1636414, 3, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*d*o**4 + 50*d*o**3 + 9826*d*o**2 - 508*d*o + 101*o**4 - 5*o**3 wrt o.\nAnswer: 168*d*o + 300*d + 2424*o - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 3. Suppose 39 = -8*j + 183. Suppose 17*n - 103 = -j. Determine o(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42 - (-4 - 37)) + (17 + 9 - -1)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-7449)\/(-9932))\/(((-9)\/2)\/(48\/(-20)))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(147) + 1) + -1)**2.\nAnswer: 28*sqrt(3) + 589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*k = 65 - 238 - 283. Let m(w) = -5*w**3 + 3. Let x(t) = 4*t**3 - t**2 - 2. Calculate k*x(r) - 2*m(r).\nAnswer: -2*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(18910\/183)*((-2)\/1)\/(-18)\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2 - z**2 - z**3 + 2*z - 3*z + 3. Let j(f) = -4*f**3 - 5*f**2 - 5*f + 4. Let g = -63665 - -63670. Give g*q(r) - j(r).\nAnswer: -r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 49 (b) -5 (c) 3 (d) 1\/14 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 3. Let j(p) = 5*p - 16. Let y(c) = -2*j(c) - 11*r(c). Suppose -5*m - 3 = -4*m. Let s(l) = -2*l + 8. Calculate m*y(g) - s(g).\nAnswer: -g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*x = -201*x + 4*r - 7, -3 = -x - r for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 10:14 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 112. Let k be w(109). Solve 0 = k*h - 15*o + 12*o, -4*h - 4*o = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**3 + 3*l + 3*l**3 - 9*l**2 + 0*l + 7*l**2 in the form o*l**3 + b*l + s*l**2 + v and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -63*p**2. Let f(s) = 3*s**2. Calculate f(t(z)).\nAnswer: 11907*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**5 + 142*f**4 + 2496*f**3 + 7544*f**2 - 26752*f - 66048 = 0.\nAnswer: -8, -2, 3, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*i + 616 = -12*i. What is the remainder when 64 is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 81, -3, -23, 26?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -13220797 less than or equal to -39662390\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 2469*c + 136 = 2464*c, 2*x - 25*c = -23*c + 48 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2622 - 36*b**3 + 2623 + 2633 - 7880.\nAnswer: -36*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/10 + 1013*o**2\/10 + 27244*o + 792330.\nAnswer: (o + 33)*(o + 490)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -425, 377, 2389, 6217, 12467?\n\"Answer: 101*d**3 - d**2 + 98*d - 623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.125, 9711, -0.2?\nAnswer: 9711","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -4b?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and -0.1167?\nAnswer: 0.008169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + -31 + 16 - -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/28)\/(1*8\/32)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*r - 46*r - 18 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(75\/12)*-5. Let j = d - 0. Let y be -1 - -17 - (-8)\/j. Calculate the highest common divisor of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111 (base 2) to base 3.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82567 to the power of 1\/2, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7386*k + 82272*k**2 + 7386*k - 164567*k**2 + 82250*k**2.\nAnswer: -45*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -33 + -353?\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 divided by -3658.\nAnswer: -26\/1829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (c - 4*c + 5*c)*(-7 - 3 + 3)*(-1 + 5 - 2) + (2 + 2 - 2)*(4*c - 4*c - 2*c) in the form j*c + l and give j.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12969)\/262 - -49)\/(14\/(-24)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/808980 and 173\/1617960?\nAnswer: 1617960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from {y: 1, d: 3, o: 2, u: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17260 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (1 - 7 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -20, 62, -4, 5 in ascending order.\nAnswer: -20, -4, 0.08, 5, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2878941413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)*-2)\/sqrt(6) + sqrt(28) + sqrt(28))\/(-2*sqrt(4)*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -15*g**3 - 37*g**2 - 23*g - 9. What is j(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 0)*(2*v + 4*v - 4*v) - 3*v + 0*v - v)*(3*v**2 - 2*v**2 - 2*v**2).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2079546?\nAnswer: 2, 3, 7, 67, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2659.005l in millilitres?\nAnswer: 2659005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86859, 173847, 260921, 348081?\nAnswer: 435327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = -70*s - 112 - 638 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -0.46?\nAnswer: -1.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 6. Let u be a(3). Let y be -1 + (-5)\/u*3. What is the derivative of 1 - o**y + 2*o**4 - 2*o**4 wrt o?\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/8 + (-14608)\/192. Let f = c - -208\/3. Let j = 13 + -23. Find the common denominator of f and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swhhqssqqwqqhqwhwqqq. What is prob of picking 1 s and 1 w?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 703.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 358749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/3)\/(72\/48).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 0 + 4*b**2 - 5\/18*b**4 + 1\/90*b**6 + 94*b + 1\/60*b**5 - 2\/9*b**3. Factor w(p).\nAnswer: (p - 2)**2*(p + 2)*(p + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 196905?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 8*c**2 + 10812810*c + 35141548 = 0.\nAnswer: -1351598, -13\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = 14*w + 17. What is the greatest common divisor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/36*4*0)\/(-2 + 0). Sort w, -1443, 3 in descending order.\nAnswer: 3, w, -1443","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6699 = -3436578*z + 3436781*z for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -101080.7 and -2.4.\nAnswer: -101083.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 29732089 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4151\/1562 - -37\/71. Let n = 12451 - 1369629\/110. Find the common denominator of v and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6956886 litres to millilitres.\nAnswer: 695.6886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 5:18 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = s - 240. Let f(d) = 12*d - 8. Let r be f(6). What is the units digit of (r\/s)\/((-1)\/30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 336 = -4*t, 4*v - t - 360 = -5*t. Suppose v = q + 2*k, 457 = 5*q - 0*q - k. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/2 of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116830 and 490.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = 3*f + 2*d + 3*d, 5*f - 3*d + 231 = 0. Let x be f\/4*4\/(-16). Let i be (-1)\/x + 2\/6. Solve -y = -i*y - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**5\/5 - j**3\/6 + 2*j. What is the units digit of w(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**3 + 3*a**3 + 2*a**3 + (1 - 1 + 3*a)*(-2*a**2 - a**2 + a**2) - 5*a + 5*a + a**3 + (2 - 2 - 2*a**2)*(2*a - 2 + 2).\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 7:27 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 42 = 5*u. Suppose -5*o = -o - u. Solve 4*s + 4*l = -40, 1 = -o*s + l - 14 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3272738 - 3272717.99917. Let f = 2 - -18. Let n = f - v. Round n to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27367*g**4 + 5*g**3 + 602423*g**2?\nAnswer: 656808*g + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -88140 (base 12) to base 5\nAnswer: -21224104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 15*g + 2093 = 0. List the prime factors of g.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + u + 1. Let p(z) = -z**2 - 7*z - 5. Let m be p(-6). Let j = -93 + 94. Let o(g) = -2*g - 5 + 0*g + j + 0*g. Calculate m*o(b) + 2*x(b).\nAnswer: -2*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (53\/(14840\/(-60)))\/(((-3)\/(-10))\/(-3))*7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - q**2 + 2 + (1 - 5 + 1)*(2*q**2 + 0*q**2 + 5*q - 4*q**2).\nAnswer: 5*q**2 - 15*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(1\/2))**(-12\/11))**(-18))**0 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 1:32 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2628*o**2 - 6*o + 4. What is the thousands digit of t(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 658769*z**2 - 671692*z wrt z.\nAnswer: 1317538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 13122323?\nAnswer: 13122321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvvyvvyyvvvvvvvyvvvv. What is prob of picking 1 v and 2 y?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.634 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 396788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-78) + (115414\/(-1014))\/23. Let l be (-22)\/24 - 2\/(-8). Let v = -4\/39 - -38\/117. Put z, -4, v, l in decreasing order.\nAnswer: v, l, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -1748*i + 68167. Give p(39).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/91 - (-30)\/(-56)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2\/125 of a gram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 192, 326, 488, 672, 872, 1082, 1296?\nAnswer: 1508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231 (base 5) to base 6.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*z**3 - 15*z + 15*z)*((49 - 89 - 13)*(-z + 0*z + 2*z) - 5*z + z + 3*z) as t*z**4 + s*z**3 + d*z + r*z**2 + p and give t.\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 615106243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -13*d**2 + 5*d + 1. Let i(r) = 39*r**2 - 13*r - 3. Let b(j) = -8*a(j) - 3*i(j). Calculate b(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 0*r + 3*r - 9*r - 3*r + 7*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(48)\/sqrt(4) + 2*(sqrt(24)\/sqrt(2) - sqrt(12)))\/(-3*sqrt(12)\/sqrt(2)*4).\nAnswer: -5*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 34 = -71. Let j be (-2)\/(-7) - (-270)\/d. Suppose 0 = 2*f - 6 - j. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -3. Let f(q) = -6*q + 4. Let i be f(p). Let g(z) = z**2 + 3*z. Let x be g(-5). Solve -4*k - i = -9*k + 4*u, -k - x = 4*u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*q - 526 + 226 + 168 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**2 + 126*z + 166. Determine o(-23).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 2)*(3*o - 5*o + 0*o) + 2476241 - 2476241 - 7485*o)*(2 + 1 - 2).\nAnswer: -7487*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3398 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.161 - -0.559. Let p = 54.898 - d. What is p rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 4)*(5348 - 90*u - 5348 - 498*u).\nAnswer: -1176*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96925*a**3*y**2 + 1040*a**3 + 302*a*y**2 + 175*a*y + 44*y wrt y?\nAnswer: 193850*a**3 + 604*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3343513551 - -2?\nAnswer: -3343513545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54286390.\nAnswer: 2, 5, 281, 19319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.23399 - -0.233. Round b to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284 + 70*c - 69*c - 7 - 294.\nAnswer: c - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2607 divided by 57\nAnswer: 869\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50.16 + -51. What is g rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/4)\/(6\/(-3732)). Let z = -20 + t. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3750261638.\nAnswer: 2, 35221, 53239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 182 + -191.3. Let s = d - -9.1. What is the second biggest value in s, -2, -5.8, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14291 is divided by 96.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 5 + 57. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 15, 27, 61, 123, 219, 355, 537?\nAnswer: 771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 4*h - 5*h)*(-1 - 3 + 2) + h - 2*h + 0*h + 4 + 2*h - 4 + (-1 - 1 + 0)*(5*h - 2*h - 4*h) - 2 - 5*h + 2.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 40 = 9*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000100000 (base 2) in base 10?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-4))\/((-2)\/(-4)). Let m = 5 - d. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-80)*(-40)\/(-6))\/(-5)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -324*u - 909. Let l be h(-6). What is the greatest common divisor of l and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(540)*6)\/(sqrt(63)\/(sqrt(21)\/sqrt(3))))\/(1*(6*(-2*sqrt(432) + sqrt(432)) - sqrt(432))))**2.\nAnswer: 5\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxlxjlxgxljx. What is prob of picking 2 x?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/72)\/((-17)\/153).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5924 + -11833\/2. Factor -j*h - 5\/2*h**2 + 0.\nAnswer: -5*h*(h + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1274998, -1275002, -1275004, -1275004, -1275002, -1274998?\nAnswer: -1274992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 3*l + 0*l)*(-l - 3*l + 3*l) - 5*l**2 + 0*l**2 - 2*l**2 + (-3 + l + 3)*(-6*l + 5*l + 3*l).\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 0.5 (b) 2\/5 (c) 0.07 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*j - 33, -3*i = -4*j - 4*i + 21. Let a(n) be the first derivative of -3 + 8*n - j*n + 4*n + 2*n**2 + 0*n**2. Calculate a(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a gram in milligrams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -2*q**5\/5 + 15*q**2\/2 + 29*q - 98. Differentiate h(j) wrt j.\nAnswer: -8*j**3 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175172721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(6\/11)\/(a\/((a*a**9)\/a)))**(-34))**(1\/20) assuming a is positive.\nAnswer: a**(-799\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*h - 4 = -23*h + 8, -h - 21 = 11*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.13797 to two decimal places.\nAnswer: -41.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 814 = 4*f, 0 = f - 3*a - 7 - 184. Let z = 354 - f. Let c = z + -3. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 + 5*m + 6. Let v(j) = 3*j**2 + 6*j + 7. Let o = -4433 - -4428. Give o*v(n) + 6*r(n).\nAnswer: -3*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 5, -0.01, -26210?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o + 1 + 3*o + 0*o. Let b(y) be the third derivative of -y**4\/6 + 598*y**2. What is -3*b(j) - 2*x(j)?\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109161, 436664, 982515, 1746714, 2729261, 3930156, 5349399?\nAnswer: 6986990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -14?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - 8) + 30 + -1 + -53?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00057 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from vifisfrrif.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 7:43 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/9)\/((-483)\/(-621)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 6344*v**2 + 2885*v + 8. Let w(l) = 6342*l**2 + 2882*l + 10. Let n(s) = -4*o(s) + 3*w(s). What is the second derivative of n(y) wrt y?\nAnswer: -12700","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.59329 millimeters in centimeters?\nAnswer: 0.259329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 10, 27\/5, 5.\nAnswer: 0.4, 5, 27\/5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1323071?\nAnswer: 163, 8117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/3840 and 33\/9280.\nAnswer: 111360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j + 15 = 0, -9 = -5*f - 2*j. Suppose 2*x + 5*b - 43 = -x, f*x + 3*b - 51 = 0. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13344042 - -3?\nAnswer: -13344034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -6 - -6 - (-480)\/64 - 0.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + 4*i**2 - 4*i**2)*(-1 - 2 + 5)*(-203 - 39 - 325).\nAnswer: -2268*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 528957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 8 - 3 = 0. Suppose 0 = m*n + 5*p - 95, 2*n - 5*p - 85 = -2*n. Find the first derivative of -n - 24 - 26*u + 4 + 66 wrt u.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, 2\/15, 74 in descending order.\nAnswer: 74, 2\/15, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -7*q + 65. What is the remainder when 104 is divided by a(4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/65 - 126\/(-26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 1283721*p**2. Let f(m) = m. Determine j(f(y)).\nAnswer: 1283721*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 47609344.\nAnswer: 238046720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/17 and 97\/68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u**3 - 3*u**2 - 2*u - 3. Let i be 0*(-4)\/4 + 0. Suppose -22 + 9 = 5*n - 3*x, i = -n + 5*x - 7. List the prime factors of g(n).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4192599590 and 590?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 70\/22 + 4 + 276\/(-66). Let s = 5.8 + -1.8. What is the second biggest value in s, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 8*c - 6*c)*(-762 + 2121 - 499 - 736 + 2492 + 2380).\nAnswer: -64948*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -10387, -7, -3 in decreasing order.\nAnswer: -3, -7, -10387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-140)*((-63)\/9)\/(-28)*12.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17168 and 509008.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3)*t\/((t**(3\/4)\/t*t*t)\/t))\/(t**(-6)*t\/((t**(-2\/11)*t)\/t)))\/((t**(2\/5))**(9\/5)*((t**(1\/3)*t*t*t)\/t)**(-47)) assuming t is positive.\nAnswer: t**(366349\/3300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 204 - 189. What is the third derivative of 23*w - r*w - 92*w**3 - 8*w + 120*w**2 wrt w?\nAnswer: -552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61.5 - 45. Let t = 794.552419 - 811.05241669. Let g = t + y. What is g rounded to 7 decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 2\/7, -2\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -65*s + 16. Let w(j) = 346*j - 80. Give 2*w(d) + 11*y(d).\nAnswer: -23*d + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/5))**(-12\/11) assuming a is positive.\nAnswer: a**(-12\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*w = 96*w - w - 1580 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 8:21 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -9. What is the second smallest value in n, 1\/8, -16?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q**3 - 3*q**2 + 3*q + 2. Let x(t) = 5*t**3 + 4*t**2 - 2*t - 1. Determine -2*m(v) - 3*x(v).\nAnswer: -5*v**3 - 6*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.09 rounded to 0 dps?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g**0*g*g)*g**(1\/2)*(g\/g**2)\/(g*g\/g**(-2)) assuming g is positive.\nAnswer: g**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*a**3*i*p + 8*a**3 - 6*a**2*i + 7*a*i - a + 151*i*p wrt p?\nAnswer: 5*a**3*i + 151*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -53 in 3\/4, 5, -2\/23, 412, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 160579\/16 + -10033. Find the common denominator of s and 23\/108.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1429, 1533, 1707, 1951, 2265, 2649?\n\"Answer: 35*v**2 - v + 1395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 34*o - 742. Let b be h(22). Calculate the greatest common factor of b and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -p + 1608. Suppose 27 = -15*h + p. Let v = 3 + 2. What is the least common multiple of v and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*s + 5 = 0. Solve -5*q - 28 = 2*f, q + 24 = -s*f - 0*q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*r - 2, -r - 3 - 1 = -2*i. Suppose s - y = 0, -15 = i*s + 3*y - 40. Suppose -3*u - 88 - 12 = -s*v, v - u - 20 = 0. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - s = -8 + 2, -2*s = -5*o + 30. Let x be (o - (-3 - -2)) + (7 - 3). Let p = x + 11. 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 (11 - 11) + 9 + 16 + -15 - 19 - -36?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 10*o + 10. Let v be m(9). Let d be v*((-6)\/(-2) + -2). Sort 0, 5, d in decreasing order.\nAnswer: 5, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41 - 6 + 4*v + 20 + 15*v to the form l + c*v and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -96*s**2 - 752*s + 4779. Give j(-12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 - 5684*b**2 - 5683*b.\nAnswer: -b*(b + 1)*(b + 5683)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*l, -2*w + 1704 = -l + 4*l. Suppose 22*a = 3209 - w. Does 39 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*j = -944, -5*q = -9*j + 5*j + 1221. Let g = q - -465. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2 (b) -2 (c) 37.057\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132900.\nAnswer: 2, 3, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3351.36 - 1060.68477.\nAnswer: 2290.67523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -r + 5. Let u = -7827\/4 + 1957. Put u, 0, r, -0.5 in descending order.\nAnswer: r, u, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*t**2 - 18 - 12 - 10*t**2 - 15 - 19*t**2 + 44.\nAnswer: 73*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p = -32 - 0. Let r = 20.06 - 0.06. Let w = r - 20.4. What is the third smallest value in p, w, -23?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((1 + (4 - 4))\/(-1)). Let f be (-2)\/(-8) + 2\/(-8). What is the nearest to f in 4, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/560 and -67\/3822.\nAnswer: 152880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23155 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16097130 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 703 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*(sqrt(55) - -2*(sqrt(55) - ((1*sqrt(55) - sqrt(55)) + sqrt(55))) - sqrt(55))\/(1*sqrt(11)*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 39, -0.09, 0, -2?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-44)\/(-6))\/(2\/57). Let i(b) = b**3 + 5*b**2 - 6*b - 9. Let r be i(-6). Let v = r - -28. Calculate the greatest common factor of v and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-214)\/(-16692))\/((-2)\/12)*13\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 3, 4, -3 in increasing order.\nAnswer: -28, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 249727?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 15. Solve 27*b**3 + 60*b**2 + s + 5 - 5 + 39*b = 0.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -31, -30, -29, -28, -27?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(250)\/sqrt(40))\/(sqrt(180) - (sqrt(180)*-1 + sqrt(180))))**2.\nAnswer: 25\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 0 (c) -0.3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22246*g - 22270*g = -696. Which is the third smallest value? (a) -4 (b) 0.02 (c) 1\/3 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, -10, 0, 2 in increasing order.\nAnswer: -68, -10, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23*b**4\/4 - 35*b**3 + 3*b**2.\nAnswer: b**2*(b - 6)*(23*b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*a + 36562 = 89755 + 66157. Calculate the highest common divisor of a and 350.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*l + l + 7 = 0, a + 1 = -l. Let g be ((-144)\/(-84))\/(-4)*-7. Solve 5*i = p, a*p + 6 + 6 = g*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 942 + 5*n**3 - 5*n**4 - 942 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c + 318 = 326 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.675493833 rounded to 3 dps?\nAnswer: 0.675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-23))**10 assuming l is positive.\nAnswer: l**240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 1e5?\nAnswer: 1e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 264981 or 264955?\nAnswer: 264981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from syss. Give prob of sequence ys.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 5:19 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*k - 56 + 56 + (1 - 2*k - 1)*(-2 + 6 - 2).\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47339389?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * 622\nAnswer: -43.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1327*f + 1357*f - 335 - 1045 = 0 for f.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-2)\/(-4)*(-12)\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54 - (118 + -14)) + 135.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*g - 3988 - 1607. Let c = g + 375. Solve c*o = 5*o - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 6. Let b = g + 3. Let k = -7 + 10. What is the third smallest value in k, -5, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/22 (b) -0.03 (c) -5 (d) 1 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1297 (base 14) to base 16.\nAnswer: -cc5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2067 = g - 78, -2*g - 3*z + 4288 = 0. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 77*p - 368. Let j be i(5). What is the highest common divisor of 434 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55.4 - 55. Let w = -61.55 - -64.6. What is the third smallest value in x, w, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/196)\/(1446\/(-1687))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -598 - -979. Let j be -6 + 3 + m\/(-3). Let r = -82 - j. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i**2 + 18*i**2 + 19 + 17*i - 33. Is v(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-2)\/5 + 24\/12).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -2, 9, -1\/3, 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42f8 (base 16) to base 14.\nAnswer: 6368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -1, 0.19, -4, 1.\nAnswer: -40, -4, -1, 0.19, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + 53?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5\/3803 - 1152284\/19015. Let g(t) = 21*t + 2. Let o be g(-3). Let k = w - o. Which is the nearest to -0.3? (a) -0.1 (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -10\/5467477?\nAnswer: -10\/5467477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61127\/8 + -7629. Calculate the common denominator of 115\/48 and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1601 - 3799. Let s be ((-20)\/(-42))\/((-157)\/l). Factor -s*a + 2\/3*a**2 + 50\/3.\nAnswer: 2*(a - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/24)\/(37\/(-666)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 368?\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 0 + 0 + t**2)*(-16*t - 35*t + 21*t)*(-3*t + 3*t - 2*t**2).\nAnswer: 60*t**5 - 180*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -81, -4\/3, 3, 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -4, -0.263, -0.2 in ascending order.\nAnswer: -4, -0.263, -0.2, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*o + 2*o. Let j be (o\/(-6))\/((-2)\/(-4)). Does 3 divide (-2)\/j + (-10)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - 6. Let l be (-9*(-4)\/y)\/(9\/48). Let h(a) = a**2 + 10*a - 23. Let u be h(l). Sort -3, u, 5.\nAnswer: -3, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*d - 5. What is the remainder when 28 is divided by 9 - (2 - (d - -4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-90) - 120\/(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 5*g + 8. Let i be o(2). Suppose -2 = -6*w - i. Solve w = -j + 1 - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2100 and 312775.\nAnswer: 26273100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -17. Suppose -m*t - t = -52. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 - 5*p**2 - 3*p**2 + 2*p**3 + p**3.\nAnswer: 3*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 164481 + -164314.974. Let q = u + -166. Which is the second biggest value? (a) -1\/3 (b) 0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 199. Let t(i) = -2733*i - 39. Let o(y) = 70*y + 1. Let x(d) = 78*o(d) + 2*t(d). Determine p(x(s)).\nAnswer: -6*s - 199","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -8*p + 10. Give g(-12).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03 + -0.43. Let f = 25 + -25. Which is the closest to 0? (a) -3 (b) p (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**17*q)*(q\/q**(-2\/89))\/q*q**(-4\/13)\/q*q**(-2\/13)*q)**(5\/12) assuming q is positive.\nAnswer: q**(-53335\/6942)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 3*j**2 - 75*j - 149. Let z be t(-2). What is the nearest to 78 in 1\/4, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6459823 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 smaller than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.33 - 0.67. Let l = -7980.97 - -7981. Which is the closest to l? (a) -2 (b) f (c) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*sqrt(68) + (sqrt(68) - sqrt(68)*-3*1 - sqrt(68)))\/(-3*(4*sqrt(36) - (sqrt(576) + -2*sqrt(576)))).\nAnswer: 5*sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-one fifths of a week?\nAnswer: 62496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/751068 and -71\/665136?\nAnswer: 447636528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*l - 68 + 164 - 5*l**2 + 6*l wrt l.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/6984 and 7\/24?\nAnswer: 6984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**3 + 2*a**2 + a + 3. Determine n(3).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -8\/2493 (b) -2\/11 (c) -1\/9 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (6 - 11 - (3 - 2 - 6))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + 843 - 843.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3140 + 3148. Let y(a) = a**2 + a + 9. Give y(t).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4719 and 242121?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t - 3. Let n be u(-3). Which is bigger: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -454 - -454.7175. Let z = 0.0605 + m. Round z to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, o: 12}. Give prob of picking 1 o and 1 h.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 1272.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.15 or 0.07993?\nAnswer: 0.07993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -19. Suppose 2*s - 2*m = 0, -18 = -5*s + x*m - 4*m. Calculate the highest common divisor of s and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 4:16 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 12*l**2 + 45*l + 85. What is n(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -42021 (base 7) to base 8\nAnswer: -24101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l*z**3 - 9*l*z**2 - 6*l*z - 3*l - 11*z**3 + 9*z**2 - 114*z wrt z.\nAnswer: -6*l*z - 18*l - 66*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 239205.06 microseconds?\nAnswer: 0.00006644585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-2\/47)*n*n**(1\/47)*(n\/n**(-14))\/n**(-3\/7) assuming n is positive.\nAnswer: n**(5727\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4\/7 - 69*l**3\/7 + 792*l**2.\nAnswer: -3*l**2*(l - 33)*(l + 56)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 443050 and 0.0170458.\nAnswer: 443050.0170458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-21)*147\/42. Let s be 4*1*(-10)\/(-4). Calculate the lowest common multiple of 10\/s - (x - 28) and 4.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + -1001010000?\nAnswer: -1001011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 5995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/2 - 0\/(-1). Suppose w*l - 25 = 5. Suppose -x - f - 4*f - 2 = 0, l = -5*f. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, v: 6, a: 8}. Give prob of sequence vvvv.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 84 = 3*h, 114 = 4*h + 3*o - 0*o. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.37 take away 3070255623?\nAnswer: -3070255623.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 220*d + 6771.\nAnswer: (d - 183)*(d - 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -202.849 - 0.151. Let k = 135.1 + a. Round k to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -46 + 47 + c**2 + 0*c**2 + 4*c. What is the remainder when y(-5) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1 times -6?\nAnswer: 18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -5.3, 32, 1\/15, -0.5 in increasing order.\nAnswer: -5.3, -5, -0.5, 1\/15, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10642, -42571, -95786, -170287?\n\"Answer: -10643*d**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 43984, 87989, 131994, 175999, 220004, 264009?\n\"Answer: 44005*b - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 8. Suppose 5*s - 2*s + 8*s = -99. Suppose 3*k = 9 + 3. Put v, k, s in descending order.\nAnswer: k, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11098326*b**4 - 2862248*b**2?\nAnswer: -266359824*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 1 = -2*x. Let v(w) = -w - 2. Let i be v(-4). Suppose 2*k - 3*a = 12, -i*k - a = 2*a. Put -3, k, x in increasing order.\nAnswer: x, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 29877 = 3*d, -2*p = -d + p + 9969. Suppose 3*i + d = 7*i. Let h be (-3)\/5 - i\/(-25). Calculate the highest common factor of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 10, -13*o + 3*v = -8*o - 11. Let x be ((-5)\/10)\/(2\/(-24)). What is the closest to o in -2\/5, x, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 256, 567, 930, 1339, 1788, 2271?\nAnswer: 2782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41.32 + -42. Let l = -0.68066 - j. What is l rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1679?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**5 - 2*s**4 + 2*s**4 + (-4*s + 4*s - s**4)*(-3230*s - 2679*s + 5074*s).\nAnswer: 833*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (h - 2*h + 2*h)*(2 + 4 + 2) - 2 + 2 - 2*h in the form v*h + k and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 14*r - 1530000. What is r rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 3*m, -2*b - m = -3*m. Suppose 46*u - 3735 - 1095 = b. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -42.608361.\nAnswer: -8.5216722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -13. Let z = 3.81 + 1.19. Let v = -279.3 - -279. Which is the smallest value? (a) v (b) 0.1 (c) z (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - -24) + -7 + 1 + 7 - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -267 (base 8) in base 10?\nAnswer: -183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3294c - 13?\nAnswer: 32939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0\/h)**47*h*h\/h**(4\/7)*h*h*h\/(h*((h\/h**(2\/15))\/h)\/h*h) assuming h is positive.\nAnswer: h**(-4561\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 5089 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3897380374 to the nearest integer?\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3233422324 - 10?\nAnswer: -3233422334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13662 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 23*o - 239. Calculate a(9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5644330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 373*f + 4163. Let p(u) = -56*u - 9. What is the remainder when p(-13) is divided by x(-11)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1. Let o = -4 + 2. Is o >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x - 3. Let a be g(-4). Let j = a - -16. Find r, given that -j*r**2 - 7*r - 9*r - 32 + 19*r**2 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**3 - 9*h**2 + 10*h + 1. Let q be r(6). Let i = q + -117. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 24*i - 1764 = 0. Are i and 251 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32367639 is divided by 11913.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (0 + -1)*2. Let x be (5\/3)\/5*1*114. Let w = 43 - x. Solve w*o - 15 = 0, o - 8 = -h - s*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.04 (b) 1270542 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*h + h - 4*m, 2*h = -5*m + 13 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(5\/11))\/w**(1\/7)*w*w**(-4\/3)*w*w*((w*w\/w**(-12))\/w)\/w)**(20\/11) assuming w is positive.\nAnswer: w**(65000\/2541)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 233, 752, 1557, 2648, 4025, 5688, 7637?\n\"Answer: 143*p**2 + 90*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 11041250?\nAnswer: -11041243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14*117\/13650)\/3?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27343\/5608 + -1\/1402. What is the common denominator of -31\/30 and p?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 487 + -372. Suppose 0 = 5*k + 3*u - g, 13*k = 16*k + u - 65. Solve 9*t = 14*t + k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -305 and 1559.\nAnswer: -475495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 10:48 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2\/9 + 17198*a\/9 - 17200\/9 = 0.\nAnswer: -8600, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(r*r*r**5*r)))\/(r**18\/r))**29)**45 assuming r is positive.\nAnswer: r**(-11745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1. Let b(n) = -n - 2. Let y(z) = b(z) - 2*h(z). Let v be y(0). Suppose v = -2*x - x + 21. What is the highest common divisor of x and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1868 + 630 + 600 + 638 + 36470*g**2 to the form a*g + o*g**2 + p and give o.\nAnswer: 36470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide ((-20)\/132 + (-8 - 602\/(-77)))*-121149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*g + 3. Let k be -6 - -19 - (0 + g). Does 10 = k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 - -3*80\/(-9) and 329\/21 + 1 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/4 of a minute?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 944421928 to the nearest integer?\nAnswer: 30731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.709 - -0.789. What is the second biggest value in 0.06, r, -4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/3 + 6)\/(235\/2115) - -4*3.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 93 = 11*r - 9*p - 37, -4*r + 152 = p + p for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 - 32. Let l(a) = 6*a**2 - a. Calculate the remainder when l(-3) is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -251, -369, -483, -593, -699, -801?\nAnswer: -899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 297*x + 4. Let s(l) = 301*l + 5. Give -6*a(n) + 5*s(n).\nAnswer: -277*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - 40) + (-25 - -130).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 875 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -0.4, 16, -0.7, -4, -254?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 + -26 + 68988 + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -7*b + 12*b. Let s(w) = -114 + 99 + w**3 - 13*w**2 + b*w - 5*w**2. What are the prime factors of s(18)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -4 - (10 - 5)) + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s**3 - 7*s**2 + 3. Let k be -2 + (-8)\/(-2) + 19\/((-247)\/104). Let h(g) = 6*g**3 - 8*g**2 + 4. What is k*h(r) + 7*o(r)?\nAnswer: -r**3 - r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -486583844*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 168*w**2 + 6*w - 1. Is j(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 82 in increasing order.\nAnswer: 0, 1, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - 2. Which is the nearest to -2\/5? (a) h (b) -1\/5 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 2 - 46)*(3*a - 4*a - a)*(-13 + 13 - 4*a + 18).\nAnswer: -648*a**2 + 2916*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2764\/(-4137) - (-38)\/57. Let p = b - -23449\/4137. What is the common denominator of p and 71\/39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 3*n**2 - n - 1. Let c = 4 - 7. Let b be a(c). Suppose b*q + 44178 - 4178 = 0. What is q rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -110010?\nAnswer: -110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 180, 354, 528?\n\"Answer: 174*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*w + 40*w - 89*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s - 3. Let q be i(3). Let r(f) = 8*f + 0*f - q*f - 4. Let j be r(0). Let l(c) = c**2 + 6*c + 3. Give l(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3\/2 + 99*k**2\/2 + 3*k\/2 - 99\/2 = 0.\nAnswer: -1, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/12)\/(((-4)\/(-2))\/(-2))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**(1\/40)\/(l\/(l**(-2\/13)*l)*l**(1\/7))*(l*l*l\/l**(-1)*((l*(l*l**(2\/3))\/l)\/l)\/l)**45 assuming l is positive.\nAnswer: l**(599429\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3) + (-152)\/(-24) - -3. Calculate the greatest common divisor of u and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/2)\/((120\/(-16))\/(-5))\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61\/2 - 435\/14. What is the closest to -1 in s, -0.07, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-eight thirds of a century in months?\nAnswer: 23200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 3*v + 2*v. Let t = v - -10. Suppose 2*m + i - 70 = -m, -t*m + 130 = -5*i. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 36105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 101*j - 7429. Calculate w(85).\nAnswer: 1156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.45111 rounded to 2 decimal places?\nAnswer: -7.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -179 - -297. Let s = 17 + f. 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 w = 0.03 - 3.03. Let k = 8 - 3. Let u = k - 5.1. Does w = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 82093, 82103, 82113, 82123?\n\"Answer: 10*i + 82083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 294, 0, 5, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhzhhhhhhhhhhhzhh. Give prob of picking 2 h and 2 z.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/23 + 482*k.\nAnswer: -2*k*(k - 5543)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 59 = -3*h, -h + 4*t = -0*h - 9. Let j be (3\/(-9))\/(2\/(-24)). Suppose -6 = j*u - 22. Solve r + h = -u*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)\/(sqrt(175)*-2))\/(-3*sqrt(4)\/sqrt(128)))**2*-3.\nAnswer: -16\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2219 - -2239. Calculate the least common multiple of f and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2163?\nAnswer: 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 2*i**2 + 5*i - 2. Suppose 0 = -2*r - 3*m + 5*m, -4*m = -12. Suppose -r*q + 4 = -q. What is the remainder when n(3) is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 8:25 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000042971 rounded to 7 decimal places?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0.2. Let g = 0.2 - 0.2. Which is the third biggest value? (a) g (b) -0.18 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -35, 3, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 57\/(-12) + 3 + (-10 - -9 - -3)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 0.3, 0.04, -1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: a (base 14) to base 12\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.181 times 0.2485\nAnswer: -0.0449785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(5 + -3)*-1 - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 + 0)*(0 - 3 + 1)*(3 - 3 - 5*v) to the form f + t*v and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 832717.\nAnswer: 832717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**3 - 105*q**2 + 80*q - 47. Determine w(-27).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 64088412 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/262044 and 97\/6312.\nAnswer: 137835144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 1 = 4*n + 7*g, 5*n - 35 = 3*g. Let u(s) = 2*s + 2. Let b be u(4). Suppose n*d + b - 30 = 0. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 2 = -5*d. Let q be 6\/d - -2 - 1. Let f be (-121500)\/q*8\/12. What is f rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87 + -263\/3. Let q = -4 - -7. Let j = -8 + q. Which is the second biggest value? (a) j (b) w (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkhk when four letters picked without replacement from {k: 2, h: 2, g: 1, r: 1, i: 1, d: 2}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*j, w - 5*w - j - 19 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1110\/(-200) + 6)\/(36\/(-30))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*z**2 - 61496*z - 245408.\nAnswer: -4*(z + 4)*(9*z + 15338)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00191560241 to 6 decimal places.\nAnswer: 0.001916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**22\/(h*h\/(h*h\/h**(-9)*h))*(h**0*h)**(2\/141) assuming h is positive.\nAnswer: h**(4514\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 - 21*m. Let l be j(10). Let f be (90 + l)*625*-13. What is f rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16049121441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -94*b**3 + 16*b**2 - 2*b - 12. Let g be f(-6). Suppose -34*p - 5172 + g = 0. Calculate the highest common factor of 42 and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*b + 539, 0*m = 2*m - 2*b - 270. Suppose 28*h - m = 4. Solve 2*p = -p - 2*y + h, -2*p + 3*y = 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 2*z + 4 = -4*w + 15, 24*w - 45 = -3*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212 - 50*i + 56*i**3 + 44 + 50*i - 194.\nAnswer: 56*i**3 - 362","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004629079 rounded to seven dps?\nAnswer: 0.0000463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 500269 + -246164. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 17*i + 6903 = 2*x, x - 3447 = -2*i. Is x a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 1\/4, 527\/329, 0?\nAnswer: 527\/329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 795999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2001341709+-0.93\nAnswer: -2001341709.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 4570 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 5*i - 6. Let t(y) = 2*y**3 - 4*y**2 - 5*y - 4. Let h(v) = 4*v**3 - 7*v**2 - 9*v - 7. Give i*h(s) + 7*t(s).\nAnswer: -2*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -b46f (base 16) in base 3?\nAnswer: -2100100210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43211.09 decades in years?\nAnswer: 432110.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from {g: 1, m: 1, v: 2, h: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -746*p**6 + 31*p**3 - 37180*p**2?\nAnswer: -89520*p**3 + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 120414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*12\/(-60)*4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 0*s - s + 3*s + 7*s**2. Let j be o(-10). Round j to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5\/258 + -109\/1032. Which is the closest to 0? (a) -3 (b) t (c) -0.01 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)\/((r\/(r**3\/r))\/r))**(-11\/3)*r*r**(3\/7)*r*r**(-6\/7)*(r\/(r**(-1\/2)*r*r))\/r**(-2\/3) assuming r is positive.\nAnswer: r**(227\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 51*u**2 + 14*u + 29. Determine b(-3).\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 6342*v + 894808.\nAnswer: 2*(v - 3023)*(v - 148)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 429 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 + -8 + 15 - 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 278 and 32432.\nAnswer: 4508048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 + 17*i**2 + 6*i + 42. List the prime factors of p(8).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 9:34 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**5\/30 + 163*h**2. Let s(f) = -f - 1. Let x(n) = -4*n + 3. Let g(r) = -3*s(r) - x(r). What is g(c(t))?\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 11, -2, 1 in ascending order.\nAnswer: -2, 1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + p - 2, -35*b + p = -22*b + 24 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 5*l + 17, -36 = -5*t + 4*l - 20. Let g be (-5 + 3)*(-1 - 1). Solve 4 = t*w - g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34398595?\nAnswer: 5, 7, 11, 47, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 26168*j - 26168*j + 2 - 51*j**2 as b + v*j + a*j**2 and give a.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000252759 to six dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -236*v**2 - 76*v - 78. Calculate f(-1).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/8)\/(2*1\/(-8)). Suppose 0 = -3*k - 3*c + 75, 16 + 3 = k + o*c. Solve 12 - k = 4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, u: 7, a: 5, h: 1, o: 1, t: 4}. What is prob of sequence hoa?\nAnswer: 1\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 5, 19\/2, 84, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1577660 and 35400.\nAnswer: 47329800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 4:32 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0503 (b) 4 (c) 0.2 (d) -4 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -7*w**3\/3 - 1140*w. Let z(x) = -30*x**2. What is z(o(d))?\nAnswer: -5880*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 670451732 divided by -4\nAnswer: -167612933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**1)**18*z\/(z*z*z*z*z\/((z**(-1)\/z)\/z*z)*z)*z**(-4)*(z*(z*(z\/z**(1\/3))\/z)\/z)**7*(z\/(z**1*z*z))**(1\/4) assuming z is positive.\nAnswer: z**(175\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - x - 92 = -4*g, 3*x - 12 = 0. Suppose -g = 3*a - 104. Solve 4*i + 4*p + 0*p + a = 0, 5 = -2*i + 5*p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*w + 8. Suppose 6*d + 4*x = d + 30, -4*x = -w*d - 14. What is the third derivative of -2*n**5 + 76*n**3 - n**d - 76*n**3 wrt n?\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 92 (b) 5 (c) -0.4 (d) -0.3 (e) 3\/4 (f) -4\/35\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - u**4 - 14*u**3 - 4*u**2 + 27*u**3 - 10*u**3 in the form l*u + x*u**4 + a*u**3 + m*u**2 + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*p + 30 = 0. Suppose p*l + d - 13 = 0, 2*l - 23 = -3*l + 4*d. Solve 0 = h - l*q - 6, -4*h - 4*q = -h + 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.31*-0.5\nAnswer: -1.655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 37139*p - 38592*p + 1 as x*p + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**2*t + 2*g**2 + 10*g*t - 12176*t - 369256 wrt t?\nAnswer: g**2 + 10*g - 12176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.4062333 to three decimal places.\nAnswer: -49.406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, -0.13, 2?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24867 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-60)\/18 + 3)\/((-3)\/9). Suppose q + 107 = 2*i, -2*q = i - 42 + o. Calculate the smallest common multiple of i and 24.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**2\/9 + 32332*n\/9 - 130669778\/9 = 0.\nAnswer: 8083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*b - 42, -12*b + x - 21 = -8*b. Calculate the smallest common multiple of 284 and (b\/7)\/(825\/140 + -6).\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 13395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -620*g + 84323. Give z(136).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 30*x - 10. What is the remainder when 97 is divided by r(-32)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or 2752568?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -820.979418 - -821. Let l = 0.021 - f. What is l rounded to 5 dps?\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 + -3 - (-918)\/(-368). Let c = -1\/184 + r. Factor 9\/2*d**2 - c*d**4 + 3*d + 0 + 0*d**3.\nAnswer: -3*d*(d - 2)*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14026379401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.92 + -13.9. Let c = h + -0.02. What is the third biggest value in -2, c, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3356237?\nAnswer: 3356237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 196\/9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 4.64.\nAnswer: -1.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 560539313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16375, -16201, -16029, -15859, -15691, -15525, -15361?\n\"Answer: -z**2 + 177*z - 16551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000001110011111 + -11100000?\nAnswer: -11000010001111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 1 (c) 48 (d) -0.2 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + 3*g - 3*g + ((-1 - 1 - 4)*(0 - g + 0) + 0 - g + 0)*(-4*g + 0*g + 2*g) + 13*g**2 - 62*g**2 - 29*g**2 to c + x*g**2 + q*g and give x.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 0*h**3 + 0 - 2*h**2 + 3*h + 1\/12*h**4. Let n(x) = -4*x**2 - 2. Calculate i(n(y)).\nAnswer: -8*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 + 23 + 27*a to h + v*a and give v.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 - 3751 = -16*v. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341925 (base 10) in base 4?\nAnswer: 1103132211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/(-9))\/(((-3)\/75)\/1). Suppose z*h - 1 = 26*h. Put 12, 1, h in increasing order.\nAnswer: h, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188141717 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -28.2, -0.4, 3, 5, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 - -64. Let p be -3*(-1)\/(-6)*v. Factor 4\/9*s**2 + 4\/9*s**4 + 0 + p*s - 10\/9*s**3.\nAnswer: 2*s**2*(s - 2)*(2*s - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9880\/390)\/(44\/(-6)))\/((-210)\/165).\nAnswer: 19\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.02 and 1590.\nAnswer: 1589.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 + 0 - 2)*(9*h + h + 2*h) + 5*h + 3*h - 3*h + (-4 + 2 + 4)*(-5 + 5 - h))*(2*h + 3 - 3) to the form w + v*h**2 + t*h and give v.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 - (-3 + -706)) + -6?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23704 (base 9) to base 3\nAnswer: 210210011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 11*t**2 - 145*t. Let s(y) = 11*y**2 - 121*y. Let z(o) = -5*h(o) + 6*s(o). Let q(r) = 3*r + 33. Give q(z(l)).\nAnswer: 33*l**2 - 3*l + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -10*b + 58. List the prime factors of v(-13).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**18*(d\/((d\/(d**18\/d))\/d))\/d assuming d is positive.\nAnswer: d**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 - 50. What is the lowest common multiple of j and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2784 divided by -3?\nAnswer: -928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.044 and -2981.81.\nAnswer: -131.19964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tehkkzt. Give prob of sequence te.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -248 + 253. Suppose r*p - 2*i = 6, -i + 0 = p + 3. Solve -5*b + p*b - 25 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 8, 4*v = -2*w + 7*w + 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * -10878.\nAnswer: -152292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 12 = 12. Let j be p + 7 - (-16149 + 16). Round j to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/32)\/(4 + (-153)\/34)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -124, -207, -270, -289, -240, -99?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 66 + 21?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70 + -16. Suppose -l + 6 = -j. Calculate the greatest common factor of l and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 154286?\nAnswer: -154287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2646100 to the nearest ten thousand.\nAnswer: -2650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 103258 + 599474. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4044530 (base 6) in base 9?\nAnswer: 323510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-10)*(-3)\/((-54)\/10770). Suppose -414 = 16*p - q. Solve 10 = p*z - 24*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 38*a + 23*a**2 - 2 + 8\/3*a**3. Differentiate g(r) with respect to r.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2*o = -3*v + 8, -5*o + 5*v = 20 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -22.8. Let n = i + 2. Let y = -8 - -8.1. Which is bigger: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*o**2*q**2*z + 4*o**2*q**2 - 17*o**2*q - 2*o**2*z**3 - 2*o**2*z**2 - 2*o*q*z**2 + 28438*q**2*z**3 wrt z.\nAnswer: -12*o**2 + 170628*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10309\/(-1586)*(-816)\/78?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1060680 rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -1 - (4 + (-22 - 0 - -11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28204 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2bb042 + 3c?\nAnswer: 2bb081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -5 - (38 - 32).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - b + 3 = -3, 0 = 4*f + 2*b + 12. Let p(i) = i + 3*i**2 + 1 - 2 + 0. List the prime factors of p(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33021 + -1?\nAnswer: 33020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 508959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -17*o**3 - 50*o**2 - 15*o - 36. Let i be s(-8). What is the highest common divisor of 44 and i?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvmm when four letters picked without replacement from mmvmmmmmmvmvmmvv?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 1 + 4*p - p + 1 - p. Let v be k(-4). Is (-4)\/v*(-2637)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -47*b**6\/6 + 4*b**3\/3 + 3*b - 34. Find the third derivative of j(y) wrt y.\nAnswer: -2820*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35958309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 15 = -3*s + 5*l + 3*l, -2*s + 4*l + 14*l = -13*l - 97 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -1.5, 0.2, -86 in descending order.\nAnswer: 0.2, -1.5, -38, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 8:50 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-282)\/(-564))\/((-5)\/520).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 7 - (-1 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4 = -4*o + 2, -4*l = -5*o - 3. Suppose 2*p + o = 3*h + 6*p, -5*h + p = 6. Suppose 0*u - 8 = 4*u. Are u and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.06 or -1237?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 9:48 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 108\/7 (c) -0.04 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 12*a - 30 = 0. Solve 5*p = a*k - 0*p - 5, 3*k + 4*p + 25 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 5:14 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -154888, -309784, -464680, -619576?\nAnswer: -774472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 343247384 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15690*s - s**2 + 15690*s.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 104730*b - 104725*b. Calculate the remainder when 663 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12261.3687 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 46 - 132)*(2*x**4 + 2*x**2 + 0*x**2 + x**2).\nAnswer: -384*x**4 - 576*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 570 by -2.\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1744.92 + -1696. Let a = -49 + s. Suppose -2*v = -v + 5. Put a, -2\/9, v in decreasing order.\nAnswer: a, -2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, r: 6, w: 5}. Give prob of sequence xrr.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2408*u - 683. Is s(-1) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 at most 83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 divided by 47.\nAnswer: -90\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1965817 to the nearest integer?\nAnswer: 1402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 26?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -77393, -77301, -77209, -77117, -77025, -76933?\n\"Answer: 92*f - 77485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1908320, 3816635, 5724950, 7633265?\n\"Answer: 1908315*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u + 11*d = 15*u - 27, 0 = 4*u - d + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2481, 9995, 22543, 40131, 62765?\n\"Answer: n**3 + 2511*n**2 - 26*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -33 - -2691?\nAnswer: 265b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.3 (c) 5\/3 (d) -20\/17 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(931) + -5 + -5 + 4)**2.\nAnswer: -28*sqrt(19) + 935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 6*v - 22 = -v, 4*p + 4*v + 16 = 0. What is the nearest to p in 0.1, 0.2, 0, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g. Suppose l = -l - 2*u + 22, -5*l + 65 = 3*u. Let w(z) = 15*z - l*z + 27*z. Give w(a(f)).\nAnswer: -26*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6813066 or -6813067?\nAnswer: -6813066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4262491 is divided by 1257?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -923, -899, -861, -803, -719, -603, -449?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - 3*g - 4. Let z be o(3). Let w = 20 - z. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1139 and 40535?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 53*d - 28. Sort 5, d, -82 in descending order.\nAnswer: 5, d, -82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3\/4 - 5*d**2\/2 - 7*d\/4 + 9\/2 = 0 for d.\nAnswer: -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316198*i**2 - 632396*i**2 + 316198*i**2 - 64 - 8*i**3 + 186.\nAnswer: -8*i**3 + 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*w**3*y**3 - 8354450*w**3 - 464*w**2*y**3 - w**2 - 26*w*y**3 - 14*y**3 - 7*y**2 - 2*y wrt w?\nAnswer: 138*y**3 - 50126700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/6, 3, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 6:17 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-2\/35))\/p)\/p)\/p**5 assuming p is positive.\nAnswer: p**(-208\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -3*c - 18 - 2 + 11 + c**5. Differentiate i(a) wrt a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -177 - -241. Suppose 2*c + 3*c + 150 = 0. Let l = c + t. What is the remainder when l is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.189 - -0.001. Let q = -5 + t. Round q to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.621 - -0.05818.\nAnswer: -2.56282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 23 = -32, -4*m + 2 = -2*y. Solve -g - 20 = y*j, -6*g + j = -5*g - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42)\/10 - 7\/(-35). Let o be (0\/s)\/(3 - 2). Which is smaller: o or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + -67. What is the remainder when (i\/(-6))\/((-9)\/(-12)) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 9*b**2 + 13*b + 2. Let t be f(10). Round t to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -57 + (-83 - -19)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-40) - 2\/5. Let i = -37\/5 - -227\/30. Find the common denominator of i and 1386\/(-180) + r + 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*f**2 + 3 - 6*f**2)*(-105*f - 65*f + 89*f).\nAnswer: 324*f**3 - 162*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 8*r**2 + 5*r - 8. Calculate x(8).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55244, 55243, 55240, 55235, 55228?\nAnswer: 55219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5196644603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 345, -31, -19 in ascending order.\nAnswer: -31, -21, -19, 345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15, -36, -57?\n\"Answer: -21*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1236)\/(-8))\/((-6)\/40). Let h be b\/12 - (-3)\/(-18). Let f be (-2)\/5 + h\/(-40). Is f != 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 3*n - 2519 = -127*n + 1856 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfzfr. What is prob of sequence rf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.6 - 6. Let d = k - -0.5. What is d rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10933\/(-145) - -71)\/((-4)\/10)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 7 - 416*c + 7.\nAnswer: -416*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (46\/(-69))\/(2\/(-9)). Suppose 3*p = -2*j + 16, 0*j = j - 4*p + 14. Let x = z + j. Solve 1 = -2*n - x for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 2. Suppose -d - 4*y = y + 25, -5*d = y + 5. Let s be z(d). Solve -3 - 5 = s*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5980 and 90068.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 + 64. Suppose 0*f + 12 = f + y*v, f - 3*v = 2. Let j be 1 - (-4)\/f*8\/(-12). Which is smaller: 0.2 or j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5519763737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**2 + 1311*g - 2622. Give m(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*j + 5*l, -4*j - 2*l - 3*l = -34. Solve 3*t - 2*n + j = 2*t, 2*n - 10 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 8:28 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 31*g**2 + 43*g - 10. Let a be n(32). Let m = -341 + a. Sort m, 7, -8 in ascending order.\nAnswer: -8, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -11 in increasing order.\nAnswer: -11, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1440185005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 16*j**2 - 12*j + 18. Let r be f(15). Let y = -63 + r. Suppose -2*n - t - 23 + 80 = y, -5*n + 145 = 5*t. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -147*z**5\/5 - 40488*z**4\/5 - 477363*z**3\/5 + 823962*z**2\/5 - 350148*z\/5 + 44184\/5 = 0. Calculate z.\nAnswer: -263, -14, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*y**2 - 12716*y - 101216.\nAnswer: -4*(y + 8)*(2*y + 3163)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 120?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/4, -0.04, 3 in decreasing order.\nAnswer: 3, 2, 1\/4, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - 6 - (-100 + 75)) + 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 82*n + 74 + 90 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -154*i + 71038 - 60566 for i.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-1)**2 + (sqrt(19) - sqrt(209)\/(sqrt(33)\/sqrt(3)))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -326157, -326140, -326119, -326094, -326065?\nAnswer: -326032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4121909*b + 4121903. Calculate v(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1326\/(-14) - (-2 + 48\/21). Let i(j) = j**3 + 4*j**2 + 6*j + 20. Let a be i(-4). Let t be 513\/f - (a - 1). Which is bigger: t or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 862107, 3448406, 7758899, 13793586?\nAnswer: 21552467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 970 = -2*u, -7 - 3 = -2*u. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**2 + 2*w + 5. Suppose i - 2*i = -4. Let n(f) = f**2 - 1. Let y = 5 - 9. Let x be 11\/(-33)*(1 + y). Give i*n(z) + x*q(z).\nAnswer: z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 523751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 - 37 + b + 103 + 15*b + 21*b**3 - 39 to the form o*b**2 + y + g*b + d*b**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5880832?\nAnswer: 2, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162789?\nAnswer: 3, 11, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1\/4, -0.9, -6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + -17. Let u = h - -51. Which is the fourth smallest value? (a) -0.2 (b) -3 (c) u (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1912788 is divided by 956389.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -196 - -5.65\nAnswer: -190.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*p**2 + 191*p**2 - 93*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6629 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 2*w**2 + w - 1. Let b be v(-3). Suppose -4*d - b + 29 = 0. Suppose 0 = -3*m + m + d. Let y(t) = t - 1. Give y(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.007 (b) 0.17888 (c) -7 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, l: 1, w: 1}. Give prob of sequence ww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7*g**2 + g. Let i(r) = -48*r**2 + 6*r. Let o(m) = 4*i(m) - 27*v(m). Let t(z) = -7*z**2 - 315*z - 2. Let k be t(-45). Determine o(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22762988.\nAnswer: 2, 19, 299513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212 - 0?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n - 20 = 37 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25154 - 24602. Solve -r = -111*y + 19*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.026.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 499632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -9 - (-5 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 4*x + x)*(2*x**2 - 1 + 1) - 11*x**2 - 3 + 11*x**2 - 8*x**3 + (4 - 4 - 2*x)*(-3*x**2 + 6*x**2 - x**2).\nAnswer: -10*x**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -108, -143, -208, -309, -452, -643?\n\"Answer: -o**3 - 9*o**2 - o - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1236640 (base 7) to base 6\nAnswer: -3240354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -8*p**2 + 26*p - 5. Let y(l) = -3*l**2 + 12*l - 3. What is -4*o(m) + 9*y(m)?\nAnswer: 5*m**2 + 4*m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 - (156 - 298 - -240)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70 - -70. Which is the closest to 1? (a) -4 (b) -3 (c) 0.3 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -56189, -449357, -1516479, -3594533, -7020497, -12131349, -19264067?\n\"Answer: -56163*h**3 + h**2 - 30*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - -1*(11 + -14 - 11).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3664, -7323, -10970, -14599, -18204, -21779?\nAnswer: -25318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - y + 2*p - 13, 3*y = -4*p + 17. Let h(x) = -2 + 1 - 4*x - x**2 + 0*x**3 + x**y. What is the units digit of h(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/278208 and 97\/40572.\nAnswer: 1947456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68\/(-12) - (-7613)\/1324.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 48\/(-3)*3. Suppose 8 = 4*f, -7*m - 5*f + 2 = -3*m. Let k be 2\/(m*(-3)\/36). What is the greatest common factor of k and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c - 50. Suppose -a + a + 12 = -2*a. Let i(n) = -2*n - 50. Give a*m(f) + 7*i(f).\nAnswer: -2*f - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000066109 rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*g**4*n + 2*g**4 - 34*g**3*n - 13*g**2 + 46*n wrt g.\nAnswer: -480*g*n + 48*g - 204*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 11:22 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*q = 222, -5*j + 212 = -4*q - 113. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -539c + 35?\nAnswer: -5367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3082 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1540\/385*(((-2328)\/6)\/2)\/8\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 397285*z + 794570. Calculate a(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 7*y = 4. Let h = y + 5. Suppose h*d = 3*d. Which is the third smallest value? (a) -2\/15 (b) 0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and 0.019.\nAnswer: 0.00076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from taabaabybtyycb. What is prob of sequence cba?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*p**3 + 29*p**3 - 50*p**3 + (-2*p - 3*p + 2*p)*(4*p**2 - 2*p**2 + p**2).\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/36*(-264)\/55?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 536252 divided by -4\nAnswer: -134063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 426 - 405. Let a be ((-35)\/n)\/(8\/(-48)). Solve 0 = 3*b - b + a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -124\/5 < -0.085698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d - 480 = -32*d. What is the second derivative of 16*y**5 - d*y**5 + 29*y + 62*y wrt y?\nAnswer: -1280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.48 - -3.52. Let h = 8 + -8.4. Let q = -0.2 - h. Which is the biggest value? (a) q (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 289 - -2269?\nAnswer: 2536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 493747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (8 - -2 - 26) + 4 + (11 - -24)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*v + 110*v + 66 = 180*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 7. Let u(b) = -b - 5. Let l(j) = -5*k(j) - 8*u(j). Give l(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*i + 345, 26*i - 399 = 23*i - 5*n. What is the remainder when 979 is divided by i?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*w + 74, -13 = -3*w - 3*y + 89. Suppose -5*n + w = -0*n. Solve -5*a - 19 = 4*o + n, 0 = -5*o - 3*a - 28 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3021365761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 9*r + 10. Calculate t(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30911945 to the nearest integer?\nAnswer: 5560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - w - 2*w**2 - 3*w + 3*w - 49*w**3 - 4*w + 0*w to the form m + r*w + f*w**2 + d*w**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49548?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21 and 0.031419.\nAnswer: -0.659799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3886919?\nAnswer: 3886919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w = -11*w - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 440539?\nAnswer: 11, 29, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 8*w**2 + w + 1594. List the prime factors of s(0).\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4826 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**2. Let v(b) = 80*b - 5988. Give v(n(d)).\nAnswer: 240*d**2 - 5988","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*b - b - 12, -9 = -c + 2*b. Suppose c*m = 5*d + 8 + 12, -20 = -5*m - 5*d. Suppose q + 56 = -3*l + m*l, 3*l = -3*q + 150. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4935928.1 - 4935729.183323. Let s = n + -189.91667. Let m = -9 + s. What is m rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n**2 - 278132 - 2*n - n - 2*n**2 + 278141. What is v(5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -49*o**2. Let r(i) = -3*i + 114. Let d be r(11). Let w(m) = 80*m - 35 - d*m + 35. What is t(w(n))?\nAnswer: -49*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 32 + 318 = 2*o, 0 = l. Calculate the greatest common divisor of o and 1645.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 97 and 93?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71*h**2*k**2 + 116*h**2*k - 7*h*k**5 - 9*h*k wrt k?\nAnswer: 142*h**2 - 140*h*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 (base 7) in base 4?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(392\/(-1827))*14\/(-63)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - -42 - (-2 - -3). Suppose 2*o = -2*o + 112. Calculate the greatest common factor of o and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 6*j + 1. Let g = 409 - 407. Let p be 8*(-6)\/12 - g. Give u(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 1298 = d - 1176, 9860 = 4*d + 4*h. List the prime factors of d.\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011332130 (base 4) in base 10?\nAnswer: 548764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 335, -40, -0.6, -4.\nAnswer: -40, -4, -0.6, 3, 335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 0.6. Suppose -275*m + 31 = 4*u - 272*m, 0 = -2*u + 5*m - 17. Put d, 0.1, 2\/13, u in ascending order.\nAnswer: d, 0.1, 2\/13, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-320)\/(-160) - (-6)\/(-4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -72, -308, -700, -1248?\n\"Answer: -78*i**2 - 2*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84 + 89. Let c = -27 - -34. Solve -c*l = -b*l + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -12*q + 55. Let o be (42\/(-10))\/((-637)\/2275). Calculate g(o).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1312 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152*-0.03.\nAnswer: -4.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k - 137. Calculate t(26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -8*t**3 + 7*t**2 - 7*t - 5. Let h(a) = -7*a**3 + 7*a**2 - 6*a - 4. Calculate 5*h(b) - 4*q(b).\nAnswer: -3*b**3 + 7*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3 = 58. Let t be 0\/(-2) - (-39 - 0). Suppose -5*a + q + t = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -975*y + 0*y**2 + 2*y**3 + 0*y**2 + 949*y as u*y**2 + r*y + l*y**3 + g and give r.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134442, 537752, 1209928, 2150964, 3360854, 4839592?\nAnswer: 6587172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*u**2 + 43 - 95 + 54 - 2*u**3)*(3 - 3 + 1).\nAnswer: -2*u**3 + 39*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*w - 350 = 75*w - 66 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 + 3. Let d(x) = -x**3 - 6*x**2 - 228*x - 6. Calculate d(c) + 2*z(c).\nAnswer: 3*c**3 - 6*c**2 - 228*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/242 and -49\/41492.\nAnswer: 456412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**1)**(-12)*k**7\/k**3 assuming k is positive.\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 465 and (210\/28)\/(1\/10)?\nAnswer: 2325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/98141 and 2\/141933.\nAnswer: 35625183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**4 - h**4 + 2*h**4 + (h**3 - h**3 + 2*h**3)*(0*h - h - h) + 2*h**4 + 4*h**4 - 4*h**4 - 3*h**4 + h**4 + 4*h**4 - h**4 + 4*h**4 + h**4.\nAnswer: 5*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24907 divided by 2560.\nAnswer: 24907\/2560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86832 and 785709.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkknnngkkngcnckg. What is prob of picking 1 g and 3 k?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 12390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/2, 28, -1\/2, 11\/9, 4\/9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45392?\nAnswer: 2, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (102*h**4 + 5*h**2 - 130*h**4 + 302*h**4 + 222*h**4 - 5*h**2)*(5 - 10 - 6) to the form n*h**2 + q*h**3 + l*h + r*h**4 + a and give r.\nAnswer: -5456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 - -54. Which is the nearest to 28? (a) -3 (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.03 from 3.03321.\nAnswer: 3.06321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**4\/3 - 55*g**3\/3 + 326*g**2\/3 + 496*g\/3 - 256 = 0 for g.\nAnswer: -2, 1, 8, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 571*g - 5038 + 3031 - 16836 for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 456, 452, 438, 408, 356, 276?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**6\/120 - a**5\/20 - a**4\/24 + a**3\/6 - 31*a**2. Let p be i(-3). Solve -7*d + 2*d + 6 = p*r, 4*r + d + 2 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5117?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + sqrt(114) + sqrt(114)*1)*-3)\/(sqrt(54) - (sqrt(216)\/sqrt(4) - sqrt(54))) + ((sqrt(19) + sqrt(171))*-6 - 4*sqrt(38)\/sqrt(2))*-1.\nAnswer: 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28493257479 + -2?\nAnswer: 28493257477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -155200 (base 6) to base 12\nAnswer: -8b00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2233223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.01 + 22\nAnswer: 23.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 - 2)*(2 - 2 - 2*n**3) + (n**2 - 4*n**2 + n**2)*(9*n - 25*n - 20*n) as w*n + l + a*n**3 + m*n**2 and give a.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3815424*b**3*c**2*p**2 - 2*b**3*c*p**2 + b**2*c**2*p**2 + 16*b**2*c**2 - b*c*p - b*p**2 - 2601 wrt b.\nAnswer: 22892544*c**2*p**2 - 12*c*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -2 + 1\/2*p**2 - 1\/2*p - 1\/6*p**3. Factor i(n).\nAnswer: -(n - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*o + 14*o + 3*s + 67 = 0, 2*o + 4*s - 4 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -10*k - 17. Let l(t) be the third derivative of t**5\/30 - 2526*t**2. Give o(l(c)).\nAnswer: -20*c**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 3*b**2 - 3*b + 1. Let k be p(2). Suppose -36*q = -28*q + 128. What is the tens digit of (-200)\/q + k\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1440 and 37240?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l + 1. Suppose 3*w + 12 = -0*w. Let f = w - -5. What is the units digit of a(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 825320 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138, -276, -414, -552, -690?\nAnswer: -828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2 + 142782*m - 5096674881 = 0.\nAnswer: 71391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 319565516 to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68*k**5 + 9 - 19*k - 30*k - 18*k + 80*k wrt k?\nAnswer: -1360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**2 + 5*i**2 - 3*i**2 - 4 + 4*i. Let t(d) = d - 1. Let x = 46 + -40. Let a be t(x). Determine f(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (-15 + 20)) + (-34 - -2).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15990 - -15959. What is the smallest value in -4, 9, s, 4\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 + 36.13. Let a = -3.87 - c. What is the closest to -1\/4 in 5, 1\/5, a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - -1 - (355 + -360 + 2 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/4 - 137*n**3\/2 - 14031*n**2\/4 - 25839*n.\nAnswer: n*(n - 319)*(n + 9)*(n + 36)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -13678*j + 9015. Let l(k) = 4559*k - 3029. Let o(w) = -2*a(w) - 7*l(w). What is the first derivative of o(b) wrt b?\nAnswer: -4557","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**3 - 16*y**2 + 6. Suppose 2*w - 3*w + 3*n - 9 = 0, -4*w + 4*n = 68. Let x = -1 - w. What is the remainder when x is divided by b(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 108*b**2*i**3 + 2*b**2*i**2 - 2*b**2*i - 7*i**3 - 9*i**2 wrt b.\nAnswer: 216*b*i**3 + 4*b*i**2 - 4*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0083 + -8.0317. Let u = -8 - b. Do u and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 11 - 1. Let k be (n\/(-6))\/(2\/33). What is the first derivative of a - k + 4 + 11 + 0*a wrt a?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(3\/5)*s)*s**(-8))\/(((s*s**(-13\/4)*s*s)\/s*s)\/s*s**20\/s) assuming s is positive.\nAnswer: s**(-527\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2, 1, 5, -5.\nAnswer: -11, -5, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v + 57 + 4*v**3 - 117 + 57 in the form h + g*v**3 + o*v**2 + s*v and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 13229932 to the nearest one hundred thousand.\nAnswer: 13200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.41 or -166175?\nAnswer: -166175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 672 = -23*u. What is the remainder when 322 is divided by u?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 1:41 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 13*y - 13. Let v be r(10). Let g = 129 + v. Calculate the remainder when g is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28432 and -0.3?\nAnswer: 8529.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 16.6. Which is the third smallest value? (a) h (b) -6 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 15*f + 9. Let h(u) be the second derivative of 23*u**3\/6 + 7*u**2 + 235*u. Determine -5*h(q) + 8*o(q).\nAnswer: 5*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 3) + ((-85)\/20 - -5)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrj when three letters picked without replacement from {j: 5, g: 3, f: 3, r: 2}?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 46736, 5, 1, 2, 4.\nAnswer: -3, 1, 2, 4, 5, 46736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s - 9*s)*(-2*s**3 + 4*s**3 - 3*s**3 + (0*s - s + 3*s)*(-4*s**2 + 0*s**2 + 6*s**2)) - 337*s**3 + 337*s**3 - 46*s**4.\nAnswer: -73*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -20 (b) 0.08 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 9*s**2 - 9*s - 8. Let o be d(10). Suppose 7 = 3*k - o. Suppose -r + k*r = 4. Solve -m - 4*u + 6 = 0, r = -m + 3*u + u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 - 92*t + 4512.\nAnswer: -4*(t - 24)*(t + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/14)\/((s*s\/(s*s\/(s**(1\/5)*s)*s))\/s)*(((s*s*s\/s**3*s)\/s)\/s)**(-6\/5) assuming s is positive.\nAnswer: s**(27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + c + c)*(5 - 159*c + 86*c + 79*c).\nAnswer: -18*c**2 - 15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 37 - 1)*(0 + 3*g + 2 + 0*g - 1 + 1 - 2*g + 4 - g - 4 - 2*g + g + 2*g + (-4 + 2 + 4)*(3*g - g + 0*g) + 0 + 0 - g)*(3*g - 7*g + 2*g).\nAnswer: -360*g**2 - 180*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(15)*-1)\/(-3*sqrt(192)).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -9 - -2*(4 + 995).\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 17*f**2 - 16*f - 2. Let v be t(-16). Let m be (2 + -186)\/v + -2. Let u = m - 61. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and 886.\nAnswer: -974.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*s**3 - 356*s**2 + 488*s + 1092.\nAnswer: 4*(s - 13)*(s - 3)*(6*s + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d + 29*d + 108 = 0. Find f such that -144 + 1275*f - 829 - 2969 - 363*f**2 + d + 1101*f = 0.\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37509304 by -9377326.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-3))\/2*9\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1681196091?\nAnswer: 3, 29, 59, 107, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 - 1 - l**2 + l**2.\nAnswer: 4*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/(-2))\/(-12 + (-47551)\/(-3934)) - 6 and -60\/1379?\nAnswer: 9653","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7800322.800029 - -7800319. Let w = 3.8 + i. Round w to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c. Let p(z) = 611396*z + 7766. Let r(q) = 315*q + 4. Let j(y) = -2*p(y) + 3883*r(y). Calculate g(j(l)).\nAnswer: -1059*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*3.9.\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 282, 282, 280, 276, 270?\n\"Answer: -k**2 + 3*k + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 2:12 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 3:57 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**2 + 97*t - 1197. Give f(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.5 or 21297301?\nAnswer: 21297301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4*m + 20, -3 = 5*m - 5*f - 23. Suppose m*j = j. Suppose t + 46 = 6*d - d, 2*d - 3*t - 21 = j. Calculate the highest common factor of 9 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 1:33 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 250684382743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 242179593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/5 - ((-27)\/15)\/3\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 1 + 4. Let q = 0.07 + -0.1. Let l = q + -0.07. Put l, 0.2, a in ascending order.\nAnswer: a, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(1082\/(-180) + 6). Let c(a) = a + 191. Let i be c(0). Let j = p + i. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)*(x**(8\/3)\/x)\/x)\/(x*x**1*x*x*x**1) assuming x is positive.\nAnswer: x**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1760.2 * -0.0377.\nAnswer: -66.35954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q**3 - 72*q**2 + 27*q**2 + 23*q**2 + 13*q**2 - 6.\nAnswer: 10*q**3 - 9*q**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 22870*t + 22875.\nAnswer: -5*(t - 4575)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, d: 3, k: 8}. What is prob of sequence rrk?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*c + 2 - 21*c + 14 + 4*c + 2*c - 2*c + (-3 + 0 + 4)*(-3*c + 2*c + 2*c) - 1 + c + 1 + c + c + c to the form x*c + q and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 3*r**7\/280 + 11*r**4\/8 + 10*r**3\/3 + 37. Let y(o) be the third derivative of b(o). Differentiate y(p) with respect to p.\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1784572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 5, 6, 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 767188.9 millennia to years.\nAnswer: 767188900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.271261 to 1 decimal place.\nAnswer: 30.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151598 - -195.\nAnswer: -151403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrm when three letters picked without replacement from dmrrvvgm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*t + 6863 - 2495 = 0 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327166 - o**3 + 327166.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -24 - 24*n + 0*n**3 - 2*n**3 + 7*n**3 - n**3. Let r(f) = -f - 1. Determine o(l) - 24*r(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98 - -90.7. Let r = q + 7. Sort 1, -1, r in decreasing order.\nAnswer: 1, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 121432 - 323116 = 0. What is the greatest common divisor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/5))**(-43)*((z**(-13)*z)\/z)\/(((z\/(z\/((z**(-2\/3)\/z)\/z*z))*z)\/z*z)\/z))**(4\/15) assuming z is positive.\nAnswer: z**(868\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/30 and -43\/70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 divided by 38.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddjjjjojdj. Give prob of sequence jjo.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 2*b - 6 = i, 2*b = 3*i + 10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 3, 2, 0, -1149 in decreasing order.\nAnswer: 3, 2, 0, -7, -1149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-48)\/2 - (1 - 1). Let j = k - -48. Suppose 2*w + 5*y - 39 = 0, -3*y + 2*y = w - j. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.02, 7 in increasing order.\nAnswer: -5, 0.02, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 6*o - 14, -6*o = -o + 3*p - 9. Solve -5*v = o*v + 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*t = -16344, 5*t = -3*q + q + 16330. What is q rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -345.18 in 2\/3, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/20)\/(26\/455)*-4. What is the remainder when 5156\/36 + j\/(378\/(-12)) is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, 4\/21, -421, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 481 times -0.5\nAnswer: -240.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 6*w**2 - 11*w - 10. Calculate r(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 134728019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 333124392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393*h + 364*h = 145 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/36 - 4\/18. Suppose 0 = -j - 3*p - 2*p + 25, 3*j + p - 19 = q. Solve u - 4 = -j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4752 = -2*t, t = -4*l - 296 + 6637. Is l a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - q**2 - 5. Let r(j) = j**3 + 2*j**2 + j + 6. Calculate 5*h(v) + 4*r(v).\nAnswer: -v**3 + 3*v**2 + 4*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.463592mm in centimeters?\nAnswer: 0.4463592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-8)\/12)\/1)\/(6\/117). Let c(u) = -u**3 - 13*u**2 - u - 13. Let v be c(t). Suppose v = 12*q - 6*q - 396. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 - 171*m + 661. Let s be w(4). Solve -10*v = s*v + 95 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -22*f**4\/7 + 3858*f**3\/7 - 65762*f**2\/7 + 370758*f\/7 - 678240\/7 = 0?\nAnswer: 48\/11, 5, 9, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -3) + -3 + 3 + -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2788\/(-40) - (1 + (-321)\/30 + 31 + -21)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 16) to base 12.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 86 - 91, 2*j = -3*y + 32. Put 2, y, 5, 1 in descending order.\nAnswer: y, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 6*o**2 - o**2)*(1 - 1 - 3*o)*(2*o - 3*o + 4*o).\nAnswer: -27*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*k - 34*k + 94*k + 92 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*b*g**5 + 8*b*g**3 - 4*b*g**2 + 5*b + g wrt g.\nAnswer: 100*b*g**3 + 48*b*g - 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c948 + -4?\nAnswer: 1c944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1146)\/(-1337))\/((-6)\/(-140))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 7. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7238 = -19*q + 70*q + 103*q for q.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1735 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -7*g**4 + 21*g**3 + 26*g**2 + 33*g + 17. Let m(a) = -3*a**4 + 10*a**3 + 13*a**2 + 16*a + 8. Let s(y) = -9*m(y) + 4*p(y). Find w such that s(w) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 68028 and 0.7.\nAnswer: 47619.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i - 7. Let n be x(-6). Suppose g + 8 = n*g. Factor 0*f + 0*f**3 + 2\/7*f**4 + 0 + 0*f**g.\nAnswer: 2*f**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/3 (b) -2 (c) -34208\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7*d**2. Let r be 2*(1 + -2) - -127. Let b = r - 95. Let t(o) = o**2 - b + 56 - 26. Give v(t(a)).\nAnswer: 7*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n**2 + n + 13. Let i(w) be the first derivative of 4*w**3\/3 - w**2\/2 - 12*w + 15. Let t(m) = 6*i(m) + 5*p(m). Determine t(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -0.4, 588, -3\/4, 0.4, 3\/56, -3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4182825 and 20425?\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**4\/3 + m**3 + 2*m. Let u(t) = t**2 - 1. Let w(l) = 5*u(l) - v(l). What are the prime factors of w(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-8)\/(-864)*27)\/((-9)\/21*-3).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1728*h**3*l**4 - 2*h**3*l + 275*h*l - 1 wrt l?\nAnswer: -20736*h**3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4508370 - -0.1?\nAnswer: 4508370.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11*1\/3 + (-41)\/(-123). Let f(t) = i*t**2 + 3*t + t + 3*t - 3*t**2 + 5. Let y = 3 + -7. Give f(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + i + i**2)*(3 - 4 + 0)*(-48*i - 217*i - 80*i).\nAnswer: 345*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 774*n - 2*n**2 - 1438*n + 750*n.\nAnswer: -2*n**2 + 86*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 14*k**2 - 122*k + 8. Let p(l) = 11*l**2 - 98*l + 7. Let c(t) = 5*p(t) - 4*w(t). Let g(u) = -4*u**2 - 7*u + 8. Determine -7*c(i) + 2*g(i).\nAnswer: -i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**3 - 6*t**2 - 5*t + 1. Let h(k) be the first derivative of -3*k**2 + 2*k + 8. Let c be h(1). Is x(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 e when three letters picked without replacement from {a: 1, e: 2, h: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -14*c + 8*c. Let q be -1 - (4 + c) - -16. Is 18 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (3\/(-15) - (-155264)\/11520).\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10952151 to the nearest integer?\nAnswer: 3309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9234*933.\nAnswer: -8615322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 41. Let j(q) be the first derivative of -1\/2*q**r + 0*q - 1\/3*q**3 - 2. Let j(k) = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1480?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, i: 2, z: 4, g: 5}. What is prob of sequence igi?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 11*u**2 + 30*u - 9. Give y(-4).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 849989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*z + 140*z + 78 = -500 - 236 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*s = -9*s + 4, x + 4*s = 4. Suppose b = -8*c + 9*c - 327, c + x*b - 352 = 0. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -0.3. Let m = -81.4 - -50. Let k = 31.2 + m. Which is the second biggest value? (a) -5 (b) z (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/7)\/(4\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Let k(m) = m**3 + 10*m**2 + m + 9. Let b be k(-10). Let n = g - b. Solve 0 = l - n + 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(19 + 87654\/(-4614)). Solve -d*v - 64 = -761*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 6*h**2 + 3*h + 14. Let j be x(5). Suppose t = -j*t + 5. Let a(u) = -8002*u + 2. Let p be a(t). Round p to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-6) - (7 + -1). Let d = 27643\/12 - 2302. Let b = n + d. Calculate the common denominator of 45\/7 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**5\/4 + 7*q**3\/6 - 2*q**2. Differentiate r(j) with respect to j.\nAnswer: -30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 1016979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 319065 divided by 106355.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 g when three letters picked without replacement from {s: 9, g: 11}.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 3*z**4\/4 - z**3 - 75*z**2\/2 + 75*z - 186. Let c(a) = 0. Calculate a.\nAnswer: -5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 919*w - 3 + 737*w + 990*w - 2393*w + 1 + 2.\nAnswer: 253*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k + 12. Let l be 2\/6 + (-286)\/(-33). Let z(y) = y - 3. Let r(b) = l*z(b) + 2*m(b). Differentiate r(x) wrt x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1031836 (base 9) to base 10\nAnswer: -552534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.34071 + 0.14071. Which is the biggest value? (a) -28 (b) 2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 64 = -2*x - 0*p - 115, 5*p - 360 = 709*x - 704*x for x.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 193059 (b) -0.1 (c) -79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3253787 by -23.\nAnswer: 141469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*x = t + 8, 0 = -2*x - 6*t - 24. Let s(w) be the first derivative of -1\/3*w**x - 5 - 1\/2*w**2 + 6*w. What is s(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/13? (a) -0.222 (b) -6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6*l - 95. Let h be m(0). Let i be ((-38)\/h)\/((-1)\/(-10)). Suppose -5*t = 15, 5*y = y - i*t + 344. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -11*w - 118. Let v(d) = 1052*d - 2115. Let r be v(2). Determine q(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnlpnmumunopmunpp. Give prob of picking 1 u and 2 p.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1101 + 3586 = 43*n + 1118. Solve -n*j + 97*j = 98 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f - 5*f + 14*f - 64499.\nAnswer: 3*f - 64499","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h**2 - 72*h + 2. Let o be c(-18). Solve 0*f - 2 = o*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, z: 7, d: 6}. Give prob of picking 4 d.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1278)\/(-8) + -3 + (-169)\/(-52) is divided by 42?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*m + 3. Let l = -3.1 + 0.1. Let g be (-14)\/4 - (-3 + 0). What is the closest to g in l, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -335961 divided by 1044.\nAnswer: -37329\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -14 (c) 3 (d) -206\/3 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2515525 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)*p*p**6)\/(p**0\/p*p)**(-3\/5) assuming p is positive.\nAnswer: p**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 484*v - 12099. Let o be q(25). Let m(s) = 1. Let x(p) = -3*p**2 - 3. Calculate o*x(d) + 2*m(d).\nAnswer: -3*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -76*a**3 + a**2 - a**2 - 8 + 91*a**3 wrt a.\nAnswer: 45*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/547722 and 89\/12420.\nAnswer: 5477220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379650.\nAnswer: 2, 3, 5, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7050625381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107313137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (-49)\/(-3) + (-36)\/(-54). What is the derivative of -8*f**4 - u*f**3 + 3*f**3 + 1894 - 1639 wrt f?\nAnswer: -32*f**3 - 33*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 3:24 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -56*m**4 + 3*m**3 + 3*m - 11. Let c(f) = 57*f**4 - 4*f**3 - 4*f + 11. Let h(t) = -3*c(t) - 4*w(t). What is the derivative of h(x) wrt x?\nAnswer: 212*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 = -34*h - 187 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjc when three letters picked without replacement from jjjjcjcczcc?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11.803 and -39409.619.\nAnswer: -39421.422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*t + 48. Suppose 0 = -2*m + 11 - t, 4*m - 12 = -2*r. Solve 0 = r*g - 2*g - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3628 divided by -5?\nAnswer: -3628\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 16*c = 7149974. Suppose -3*r = -0*r. Suppose 2*p = -5*z - 1100010, r = p - 2*z + z + c. Round p to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4 = 0, -4*f - y - 93 = 4*y. Let l = f + 38. Let u(d) = -3*d + 2. What is the least common multiple of l and u(-3)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhe when three letters picked without replacement from {e: 1, d: 2, v: 7, l: 1, s: 2, h: 2}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - -3)*(5\/(-5) + 0). Suppose -476 = -o*b + 2*a, 7*b - 4*b = -a + 730. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(504) + -2*sqrt(504)*2)\/(sqrt(200)*-4).\nAnswer: 9*sqrt(7)\/20 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4 - 6 = 0. Let o = -214 + 219. Solve -4*b + g*c + 6 = -2*b, o*c = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, -1, 0 in descending order.\nAnswer: 47, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -222920*3\nAnswer: -668760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7470529, -14941070, -22411613, -29882158, -37352705, -44823254?\nAnswer: -52293805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -542 divided by -8\nAnswer: 271\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -24. Let t = 51 + k. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99357*d - 5*a = -99362*d + 20, 4*d - 2*a + 2 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 610 - 610.2. Which is the third smallest value? (a) n (b) -0.06 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 102 - 31. Let r = t - 66. Let h = -2\/369 - 716\/4059. What is the second biggest value in h, 1\/7, r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 - 9*n - 13. Let d be l(6). Suppose 5*w - 11 = -3*q, 3*w = q + 3*q - 5. Sort w, d, -4.\nAnswer: -4, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1792839073?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2\/7 - 6016*w\/7 - 6012\/7.\nAnswer: -4*(w + 1)*(w + 1503)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17659*h**3 + 71*h**2 - 79*h.\nAnswer: -105954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(525) + sqrt(21)))\/(sqrt(175)*4) + ((sqrt(108)*2)\/sqrt(4) + sqrt(27))\/(sqrt(9) + -2*sqrt(729)).\nAnswer: -117*sqrt(3)\/85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h + 29\/2*h**2 + 7\/4*h**4 + 33 - 1\/2*h**3. Differentiate p(y) with respect to y.\nAnswer: 42*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2) + 0)*5.\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112132 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 112426 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*4\/(-8)*(-30)\/15.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 22*i = 27. Find h, given that 16*h**3 - 40*h**2 + 36*h**i - h**4 - 20*h - 77*h**3 - 4*h**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23, 12, -21, -88, -201, -372, -613, -936?\n\"Answer: -2*w**3 + w**2 + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8251848*s. Let w(j) = -8*j**2 + 4*j. Determine f(w(h)).\nAnswer: -66014784*h**2 + 33007392*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(-16)*(-1 + 3593)\/4?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -784*q**5\/5 - 4983*q + 4106. Find the first derivative of v(c) wrt c.\nAnswer: -3136*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -217 not equal to -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -306*i + 6059. What is c(19)?\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*m = -101, 8*m = 4*z + 13*m - 103. Let b(a) = 56*a - 179. What are the prime factors of b(z)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q. Let l(o) = 3*o. Let w(h) = 6*b(h) - 5*l(h). Suppose -3*d = -2*t + 6*t - 35, -44 = -3*d + 5*t. Let k(a) = d + a**2 - 13. Calculate w(k(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*f + 3. What is the nearest to 0 in 1\/3, 4\/7, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5978 - 5682. Calculate the highest common factor of 481 and j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 621 (base 7) to base 4.\nAnswer: 10311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1272)\/21)\/(-2) + 8\/(-28). Calculate the greatest common divisor of b and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 770.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 121?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 23*j**2 + 17. Suppose k + 6 = -28. Let y(l) = -4*l**2 - 3. Let c(v) = k*y(v) - 6*i(v). Let h(x) = x - 4*x + x. What is c(h(u))?\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3872*o + 6090 = -26612 - 10912 - 26082 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-42) - (-138)\/7. Suppose -2*z - g + 6 + 9 = 0, 4*z + 4*g = k. Calculate the least common multiple of 11 and z.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*d + 6, d + 2 = i - 0. What is the remainder when (1 - d)*-1*-23 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 5 (c) 2\/7 (d) -20.39 (e) 3\/31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 27. Determine s(13).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 117.4919um in millimeters?\nAnswer: 0.1174919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 3*m + 10 - 1 = 0, -4*n - 3 = -m for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen fifths of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 663773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 45db (base 16) in base 14?\nAnswer: 6735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (-1 + 3 - 5). Suppose 0 = 3*p - 12. Solve p*r - j*r = 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3322 and 25892574.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18431.\nAnswer: 7, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6350, -12583, -18808, -25025, -31234, -37435?\n\"Answer: 4*d**2 - 6245*d - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 194 = -2*z, q + 4*q = -5. Suppose 2*f = 4*l + 134, 3*f = 5*l + 104 + z. Calculate the greatest common factor of f and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1502710.\nAnswer: 2, 5, 11, 19, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (150 - 185) + (4 - -16)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1)**(-18) assuming s is positive.\nAnswer: s**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = v - 2*f, 3*v - 2*f = f - 63. Suppose -25 - 200 = 5*b. Let t = -50 - b. Put v, 0, t in decreasing order.\nAnswer: 0, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 1, 10, -1\/2.\nAnswer: -1\/2, 1\/8, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 10.856, 0.02, -34, 1 in increasing order.\nAnswer: -34, 0.02, 1, 10.856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/1110 and -38\/99?\nAnswer: 36630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2 - 24*r - 24. Determine x(-7).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -16. Differentiate -2 - 5*t**3 - 4 - 37*t**y + 37*t**2 with respect to t.\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 7:54 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/21988 and 107\/14340?\nAnswer: 329820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 866783000 to the nearest one million.\nAnswer: 867000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 - -40. Let b be 8\/6 - (6 + d). Let w = 2.02 - 0.02. Put -0.1, b, w in descending order.\nAnswer: w, b, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -18*u - 26. Let j be l(-5). What is the units digit of (-160)\/j*(-304)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*-3*(sqrt(27) + -3).\nAnswer: -72*sqrt(3) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1474 - -1473.8406. Let m = 0.16 + h. What is m rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 668*j**2 - j - 56*j**2 + 138*j**2 - 2 + j.\nAnswer: 750*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -355510*n**2 + 6*n + 14716.\nAnswer: -711020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**4 + 7*r - 153 + 18*r**3 + 163 - 15*r**3 to k*r + g*r**3 + h*r**4 + s + c*r**2 and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -19, -731822 in descending order.\nAnswer: -1, -19, -731822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.06, -3, 7.58, 1 in descending order.\nAnswer: 7.58, 1, 0.06, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + (sqrt(10) - (sqrt(90)*-5 - sqrt(10))))\/(sqrt(32)*1) + -3.\nAnswer: -3 + 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2351544*s**2 + 16*s + 89627507?\nAnswer: -4703088*s + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 5210?\nAnswer: -520a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 809790 (base 13) to base 3.\nAnswer: 12121222110020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*p + 68*p - 3*p**3 + 2*p**3 - 131*p + 0*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**5 - 5*f**4\/4 - 5*f**3\/3 + 5*f**2\/2 + 15. Solve n(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 6, -5*b + 2 + 0 = -r. Suppose -11*y = -2*y - 18. Suppose b = y*m - 109 - 5. Is m a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10150 is divided by 78?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6802 and 1611599.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60.134 + 0.134. Let x = -62 - u. What is the third smallest value in x, 0.3, 0.04?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20\/(-4) - -1) + -2. Let v = -41 + 50. Let c be 75\/v*2\/10. Which is greater: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -270*z + 29. Let y(x) = 272*x - 28. Let q(w) = 4*d(w) + 3*y(w). List the prime factors of q(-3).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -14111873 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 4:55 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -975 * 0.5\nAnswer: -487.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3620 - 7047\/2. Let k = c - 98. Let i = 0.2 - -0.3. Sort -4, i, k in increasing order.\nAnswer: -4, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5096*p**3 - 8347236*p**2 - 3418178400*p + 8049132.\nAnswer: -4*(p + 819)**2*(1274*p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 77790264 to the power of 1\/2, to the nearest integer?\nAnswer: 8820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q - 3*q + 6*q)*(1 + 4 - 6) - 4*q + q + 4*q + (-3*q + 5*q + 0*q)*(-1 + 2 + 0) - 385*q + 499 - 499 to the form x + d*q and give d.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 225596529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3562 (base 12) in base 16?\nAnswer: -175a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -8*i. Let q(k) be the second derivative of -k**5\/30 + k**2\/2 + 2*k. Let u(h) be the first derivative of q(h). What is u(w(o))?\nAnswer: -128*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -18) + (22 - -72) - (-1 + 22)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -1. Let i(u) = -u**3 + u**2 + 7*u - 3. Let z be i(3). Let p be 100999 + z - (0 - g). What is p rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/395532305 and -57\/28.\nAnswer: 1582129220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -26*c + 273. Calculate m(-7).\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 3\/4, -0.2, 0.21, 2 in ascending order.\nAnswer: -0.2, 0.1, 0.21, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (204\/425)\/(12\/90).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in years?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 0*b = -3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -21 (b) 0.001579 (c) -3\/7 (d) 0 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.6 and -10990?\nAnswer: 10989.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 14177 (c) -1 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2501085, 2501078, 2501061, 2501028, 2500973, 2500890, 2500773?\nAnswer: 2500616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**2\/(s**6\/s*s)*s*s**(-3\/4)\/s*s*s**(-2) assuming s is positive.\nAnswer: s**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 36051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1923 + 2076. What is the remainder when v is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -157 and -7645\/49 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 209792\/56320 - (-9)\/(-8).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -271116.83 and 0.5.\nAnswer: -271116.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - (4 + (sqrt(175) - (sqrt(175) + 0)))) + 2)**2*-3*-2.\nAnswer: -120*sqrt(7) + 1074","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.196 times -152\nAnswer: 29.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 4, 1, -5, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 + -31723?\nAnswer: -31708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/16)\/(1 - 38\/40). What is the biggest value in 1, 0.3, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -7)\/4*-3. Suppose -6 = -5*n + 2*n + 5*m, l*m + 10 = 5*n. Suppose n*d + 3*d - 155 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 73*v**2 + 3 - 79*v**2.\nAnswer: -6*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnbnbvwwnbbhnbh. What is prob of picking 1 v and 1 h?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144159 is divided by 34361?\nAnswer: 6715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -76 + -27553?\nAnswer: -27640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.41 + -0.01. Let f = -0.6 - v. Which is the second smallest value? (a) 0.3 (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2385 - 1142. Let z = 1246 - x. Factor -4\/5*f**z - 1\/5*f**4 + 0 + 0*f - 4\/5*f**2.\nAnswer: -f**2*(f + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-2457)\/26)\/(-21).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2*(-240)\/(-8) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1685 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + (sqrt(187) - (sqrt(187) - (sqrt(187) - (sqrt(187) - -1*sqrt(187))))*-4) - sqrt(187))\/(sqrt(1331)*-1) + 3.\nAnswer: -9*sqrt(17)\/11 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.6 + 13.8. What is the nearest to 1 in -0.3, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 17*z**2 - 19*z - 16. Let m be f(-18). Suppose 4*c - i = 249, 125 = 2*c + m*i - 3*i. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 356861 and -0.2?\nAnswer: -71372.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 - 1053498*w - 5267415.\nAnswer: -3*(w + 5)*(w + 351161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 378643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113\/624 - 3\/208. Which is the closest to 1.1? (a) y (b) 0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - -37.5749628491.\nAnswer: 8.5749628491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 65*z - 692. Give m(53).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5040) + -2*sqrt(5040)*6)\/((sqrt(45) - sqrt(1125))*4) + 4.\nAnswer: 4 + 11*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -112052 (base 6) to base 2\nAnswer: -10010101000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26904*r - 1026*r**2 + 27*r**4 + 26904*r - 1 - 16*r**5 + 6*r**3 wrt r.\nAnswer: -960*r**2 + 648*r + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1078 is divided by 367?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*u + 34 - 99*u + 197*u - 10 to the form d + z*u and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 7400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -5*p + 1\/3*p**3 - 1\/2*p**2 + 31. Determine k(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-236)\/(-295))\/(24\/(-18))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 5 + 4 + -36 + 1 - (-295 + 286)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57 - 24*o**2 - 57 + (-o + o - 2*o + (-4*o + 3*o + 2*o)*(0 + 3 + 1) - 3 - o + 3)*(-3 - 5*o + 1 + 3).\nAnswer: -29*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -630, 7, -3 in descending order.\nAnswer: 7, 4, -3, -630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 50.7 times -14689\nAnswer: -744732.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28116, -28115, -28116, -28119, -28124?\nAnswer: -28131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 102*s - 29*s**2 - 4*s**2 + 36*s**2 + 10*s**2 - 8*s**2 in the form y*s**2 + a*s + i and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine fifths of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 5, -86, 2, -7\/36, 0.4 in decreasing order.\nAnswer: 21, 5, 2, 0.4, -7\/36, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-1))\/(26\/208). Solve -18 = 2*j - z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 + 0.15453\nAnswer: 0.95453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-10)*o*o\/o**(-4\/19)*o assuming o is positive.\nAnswer: o**(-129\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/(-192) - (-7 - (1726\/(-152) - -5)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441013618 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*m - 2 + 1)*(-786192 + 786192 - 1342*m) to the form z*m + j*m**2 + u and give j.\nAnswer: 2684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-12)\/8 - -2). Let i be (-64)\/(-40)*x\/(4\/5). Suppose -3*m = -3*g + 6, -i*g = 5 - 25. Solve 4*a = p - m*p - 4, 2*p = -a - 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 3)*(2 + -3). Let l = f + 6. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 2. Let l = 4 - v. Let f = 0.7 + -0.9. Which is the closest to -0.1? (a) l (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 - -121?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a + 1 - 4*a + 8*a - 2. Let p(j) = -j**3 + j**2 - 4*j - 3. What is -3*l(g) + p(g)?\nAnswer: -g**3 + g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*v**2 + 2*v + 4*v - 4*v)*(-2106 + 1151 - 1473)*(v + v - 3*v) to u*v**3 + g + f*v**2 + r*v and give u.\nAnswer: -16996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*q - q + 3*y, 0 = 4*q + 3*y - 74. Suppose 2*c = -3*v + q, -4*v + 16 = -c + 2*c. Solve f - 3 = -2*f - 2*a, -2*a = -v*f + 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*v - 36 = -355*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 33 = 4*q - 7, 5*q - 4*c = 86. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-784)\/(-12) + 1*(-2)\/(-3).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 1.261, -4, -12\/7, 6\/5 in decreasing order.\nAnswer: 1.261, 6\/5, -12\/7, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 34. Let t = -6.8 - -7. Which is the smallest value? (a) r (b) 1.9 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 17566355 and -0.0443?\nAnswer: 17566355.0443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cec when three letters picked without replacement from {e: 1, c: 2, g: 2, s: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a - 116 = 45. Let d = 0 - 5. What is the nearest to 0 in a, d, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from ggfff?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 29*a**2. Let h(k) be the third derivative of -5*k**4\/8 - 12*k**2. Determine y(h(z)).\nAnswer: 6525*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001 take away -0.0905804?\nAnswer: -1000.9094196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (4 - -7)) + 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -17*q**2 - 5. Let r(j) = -3*j - 4. Let o(s) = 1374*s - 1 + 10 - 1367*s. Let d(v) = -4*o(v) - 9*r(v). Determine x(d(u)).\nAnswer: -17*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 + 49.1. Let r = -4 - v. Is 2 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 + 71*p**2 + 32*p + 8. Determine r(36).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t + 1. Let z(k) = 16*k + 25. Let v(a) = a + 12. Let p(r) = -2*v(r) + z(r). Determine -c(q) - p(q).\nAnswer: -15*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (-8 + 3 - -3). Suppose m*p = 2*p - 76. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -105 + 67 + 46 + -42?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 0.02, -1, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 4:02 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 328, 374, 420?\nAnswer: 466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/3 + 2 - (-28)\/14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.86 and -33?\nAnswer: 32.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + a - 1. Let d(k) = -7*k**2 - 8*k + 2. Let j(b) = -d(b) - 5*u(b). Let x(f) = -2*f**2 - 4*f - 4. What is -4*j(m) - 3*x(m)?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/5 - 3231*u**2\/5 + 3450384*u\/5 - 243903420.\nAnswer: (u - 1275)*(u - 978)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 51639 and 272584.22.\nAnswer: 324223.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 0.5, 0.2, -633, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f. Let i(q) be the first derivative of -3*q**2\/2 - 5558. Let h(y) = -y**2 - 3*y + 5. Let p be h(-5). Give p*i(k) + 6*n(k).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 n when two letters picked without replacement from neeen?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -0.014, 401714 in decreasing order.\nAnswer: 401714, -0.014, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31470444 + -79060444. Round y to the nearest one million.\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mas when three letters picked without replacement from {m: 2, s: 1, k: 6, d: 1, a: 7}.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 6. Which is greater: g or -4\/73?\nAnswer: -4\/73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2016 and 57886992.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7627, -1, -0.4 in descending order.\nAnswer: -0.4, -1, -7627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/7 - 286*f**2\/7 - 569*f\/7 - 284\/7.\nAnswer: -(f + 1)**2*(f + 284)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1925797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/5 or -141.64?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 5*l**3\/3 + 4*l**2 + 5*l - 2. Is p(-5) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*(1 + -2 + sqrt(112)*-2 + sqrt(112) + -1)*4)**2 + -4.\nAnswer: 2304*sqrt(7) + 16698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**8\/20160 + y**7\/1890 + y**6\/720 - y**4\/12 - 15*y. Let z(n) be the third derivative of f(n). Factor z(i).\nAnswer: i*(i + 1)*(i + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -30756209?\nAnswer: 3\/30756209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -39268\/3 (b) -2\/5 (c) 5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 1820.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 13. Which is the third biggest value? (a) n (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 11 = -10. Let m = 2 + 1. Calculate the greatest common factor of z and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 <= 133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 35?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49487.\nAnswer: 17, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47.7 - 2.7. Let o = a - 48.6. Which is smaller: -0.2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -15*d**4 + 5*d**3 + 5*d + 18. Let s(m) = -16*m**4 + 6*m**3 + 6*m + 19. Let q(l) = 6*b(l) - 5*s(l). What is the first derivative of q(y) wrt y?\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 n when three letters picked without replacement from {j: 3, n: 2, d: 1, m: 6, o: 2, q: 1}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5073301200.\nAnswer: 2, 3, 5, 11, 467, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3426105*j**3 - 836093?\nAnswer: -10278315*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 340\/529 or 37?\nAnswer: 340\/529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71 (base 9) to base 10.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -436, -927, -1420, -1915, -2412, -2911?\n\"Answer: -w**2 - 488*w + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 3*q + 47, o + 3*q - 12 = 7. Suppose 4*t - o = 5. Solve -45 = -5*j - 5*y, -j - t*y + 31 = 3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2568272072784 from -6.\nAnswer: -2568272072790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 853 = 974. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -0*v - 4*a + 54, -5*v + 3*a = 79. Let s = -10 - v. Solve -4*y - 4*t = 32, y - s = 4*t + 13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17620, -35249, -52864, -70459, -88028, -105565?\n\"Answer: y**3 + y**2 - 17639*y + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 7:46 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-5 + 4 - -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 5*b**4 - 31625*b**3 + 31600*b**2 + 126500*b - 126480 = 0.\nAnswer: -2, 1, 2, 6324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 28367.97 minutes?\nAnswer: 1702078.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 122692 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: b\"What is the hth term of 210354, 210328, 210302, 210276?\n\"Answer: -26*h + 210380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iu when two letters picked without replacement from aujbubuuuuudjid?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7832\/(-538450))\/((-5)\/(-20)*8).\nAnswer: -2\/275","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-8)\/1)*(5 - (-153)\/(-33)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n - 6. Let t be (-2)\/8*5*4. Let w(u) be the third derivative of 0 + 1\/8*u**4 + 7\/6*u**3 - 29*u**2 + 0*u. Give t*y(r) - 4*w(r).\nAnswer: 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/3))**(19\/6)\/(q**6*q**(1\/8)) assuming q is positive.\nAnswer: q**(-365\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-24)*2\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/1071 and 52\/37772385.\nAnswer: 113317155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 - 233*k + 35956. Calculate z(88).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75 - 1523.\nAnswer: -1448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a kilometer in meters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + 2. Let p = 460 + -402. Let s be (p\/10 - 1) + (-18)\/(-90). What is the highest common factor of k and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(1700)*1 + 3 + sqrt(68)*-2*-4)**2.\nAnswer: -384*sqrt(17) + 69641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (9566\/6)\/(5\/105) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2395696 or -2395803?\nAnswer: -2395803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 528 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of 1\/210*u**6 - 1\/1176*u**8 - 1\/21*u**3 + 0 - 1\/735*u**7 - 1\/84*u**4 + 0*u + 1\/105*u**5 + 6*u**2. Factor x(s).\nAnswer: -2*(s - 1)**2*(s + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*a + 5*v, -5*a + 3*v + 30 = -2*v. Let c = a - 3. Let i = c + 4. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19, 31, 53, 85, 127, 179?\n\"Answer: 5*w**2 - 3*w + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/3245648 and -89\/112.\nAnswer: 3245648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1167745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i. Let a(d) = -d**2 + 10*d - 9. Let q be a(9). Suppose q = o + 3 - 7. Let t(g) = -4*g**2 + o*g**2 + 2*g**2 - 4*g**2. Calculate s(t(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of (-14 - 10528)\/(47\/10 + -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-3)*6 - 9*-5. Find the second derivative of -91*m**2 - 6*m + 25*m**2 - o*m wrt m.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6884 in -0.2, -0.06, -4, -1, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 - 30*n**4 + 0*n**3 + 12*n**4 + 1 + 10*n**4 + n**3 + 37*n + 10*n**4 to q*n**3 + c*n**4 + v*n + a*n**2 + f and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/3)\/((-16)\/(-48)). Solve -3*m - m = p*v + 14, 5*v + 25 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*o = 2*o + 42, -5*o = 15. Suppose -4*g + a - 57 = 0, -a = 4*a + p. Let m = 74 - g. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8527.1 + -0.006.\nAnswer: -8527.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from {p: 1, f: 17}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 6*b**2 - b + 3. Let w be q(6). Is 8 a factor of 107 + 0\/(-2) + w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03 + 2.03. Suppose -2 + 20 = 3*b. Let m = b - 5. Sort m, -1\/4, o in descending order.\nAnswer: o, m, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1890, -7557, -16982, -30153, -47058?\nAnswer: -67685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, x: 3, u: 3, e: 1, d: 1, g: 1}. Give prob of picking 1 d and 1 g.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.23*1975.\nAnswer: -454.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 105*l. Let u(m) = -6*m + 7. Determine u(a(s)).\nAnswer: -630*s + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18979, 18926, 18757, 18406, 17807, 16894, 15601?\nAnswer: 13862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (4 - (-2 + 5)). Solve -x - 46 + 45 = f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 v when two letters picked without replacement from mpivm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -47565 (base 12) in base 16?\nAnswer: -1765d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x. Let z(v) be the first derivative of -71*v**3\/3 - 30. Give z(c(q)).\nAnswer: -284*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-38)*i\/((i**(14\/13)\/i)\/i)*(i**28*i)**28 assuming i is positive.\nAnswer: i**(10100\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*b + 37 = 283 + 32 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1216517*b*m**3*w**3 + 25*b*m**3*w**2 - 1042*b*m**2*w**3 + 2*b*m*w**2 + 22*b*w**3 wrt m?\nAnswer: -7299102*b*w**3 + 150*b*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 351 in descending order.\nAnswer: 351, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 379239915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (33\/9)\/(1\/(-3)). Let a = s - -16. Suppose 30 = -4*r + a*r. What is the greatest common factor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w + 1. Let h(q) = 2*q - 4. Let b(v) = -2*v + 3. Let p(u) = 4*b(u) + 3*h(u). Let y be p(-3). Let x = y - 5. Determine m(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 659778757?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 3*z - 12*z**3)*(-4*z - 26*z**2 + 2*z + 7*z**2).\nAnswer: 228*z**5 + 24*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/2*(-1 + -15). Let a(k) = -k**2 + 137*k - 2126. Let b be a(18). Calculate the highest common divisor of b and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346867600?\nAnswer: 2, 5, 23, 37, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -13*k**3 + 5*k**2 + 16*k + 73. What is the remainder when s(-4) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 318272 and 4973?\nAnswer: 318272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 3*i**2 - 10*i + 7. Let p be a(6). Suppose 5 = o, 3*u = 8*u - 4*o - p. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ac5 (base 13) in base 4?\nAnswer: -130323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/2)\/(1\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2*sqrt(68))**2 - sqrt(68)) + sqrt(68) + -2 + 0 + -1.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31.3? (a) -5\/6 (b) 0.0493 (c) 4 (d) -4 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14973 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 m = -236 - -239. Suppose 3*v = 4*o + 7 - 27, -3*o + 15 = m*v. Solve v = -5*y + 3*n + 20, -4*n = 2*y + 18 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwiwwiiwwwwwwii. What is prob of sequence wwii?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -5)*9\/(-2). Is 12\/((7 + y)\/(-40)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 158691303*g**5 - 1285537441*g wrt g?\nAnswer: 3173826060*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*b - 109 - 23, -220 = -5*c + b. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 28, -4, 2\/23, -5 in ascending order.\nAnswer: -5, -4, -4\/7, 2\/23, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*y + 280*y - 15 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - -21) + (17 - (3 - (-2 + 4)))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 339*d - 1104. What are the prime factors of y(6)?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 33120?\nAnswer: 33120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9414 times 89\nAnswer: -837846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93 by 2003.\nAnswer: 93\/2003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*v = 86, -82*b + v - 70 = -86*b. Let g(q) = -7*q + 21. Calculate g(b).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1700 - -1713. Solve s = 2*v + 23 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.126 times -0.036\nAnswer: -0.004536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 228 + 638. What is the remainder when s is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99057*h = -99042*h + 255 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 1888.\nAnswer: 377.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 9:57 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 2*q**7\/7 + 5*q**4\/12 - q. What is the third derivative of d(y) wrt y?\nAnswer: 720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d - 4*n - 2 - 1 = -3*n, -446*n + 450*n + 13 = 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101000000111 + -101?\nAnswer: -10101000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 21 - 4 - h + 2*h. What is f(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89 + -125. Suppose 281 = -5*l + 96. Let t = l + v. Round t to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*v + 130*v - 52*v**2 - 1789*v**3 + 1793*v**3.\nAnswer: 4*v*(v - 9)*(v - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/14 in -6, 5\/6, 3\/4, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 11:24 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 202*d + 828. Determine g(-3).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 3181?\nAnswer: -318.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(14)\/(sqrt(21)\/sqrt(3)) + sqrt(2)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -5) + (-43 - (2 - 20))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 247967359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 324 and 159.\nAnswer: 17172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*p - 4*p + 12*p - 121*p**4 + 120*p**4 - 10 to the form i*p**3 + g*p**4 + x + u*p**2 + a*p and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 + -61.3. Suppose 0 = 4*z - 3 - 1. Which is the closest to z? (a) 2 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237\/(-390) - 1420\/(-4615)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 9*u**3 + 2*u**2 + 6*u - 3. Let o(i) = -3*i**3 - i**2 - i. Let d(z) = a(z) + 5*o(z). What is the units digit of d(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -487, -462, -401, -286, -99, 178, 563?\nAnswer: 1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190 and 169290?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-450)\/(-270)*4\/15?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 221085.5 times 0.002\nAnswer: 442.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 38 (b) 0.5 (c) 2\/3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 8*c + 7. Let s be r(-10). Let n = -25 + s. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0623 rounded to 3 decimal places?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*z + 3*k - 9, -4*z - 5*k = 4. Suppose 8*x + 62 = 3*b + 3*x, 4*b + z*x - 104 = 0. Suppose b = -j + 4*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*a + 1006 = 726 - 1016 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63008 and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/12))**(-1\/37))**18 assuming c is positive.\nAnswer: c**(-3\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 302*b**4 - 20044*b**2*m**2 + 724528617*m**2 wrt b?\nAnswer: 1208*b**3 - 40088*b*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -10. Let m(z) = 7*z - 3*z - b*z + 5*z**2. Let o(u) = u**2 + 3*u + 3. Let j(p) = p**2 + p + 1. Let r(q) = -3*j(q) + o(q). Give m(r(g)).\nAnswer: 20*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-2 + 0 - -5) + 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dudddaddud. What is prob of sequence ud?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 211.8 - 209.8. Let o be 2\/7 - 1664\/(-840). Let m = -13\/5 + o. Which is the second smallest value? (a) -0.2 (b) -1\/2 (c) k (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13007 + -13007. Which is the nearest to 0.1? (a) p (b) -0.05 (c) -0.4 (d) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1906327 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**2. Let v be k(1). Suppose 3*g = -5*u + u - 6, -v*g - 10 = 2*u. Suppose -4*h = 20, 2*z + u*z + 2*h = 88. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*q - 52*q - 61*q - 63*q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 133*j**3\/2 + 133*j**2 + 185*j - 1. What is the first derivative of i(z) wrt z?\nAnswer: 399","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t = 16*t + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b + b - 8*q = 4*b - 11 - 45, 0 = -5*b - q + 7 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 3*a - 17*a + 26*a = -456 for a.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5440 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**45)\/m*m*m)\/m)**28*(m**(-15))**22 assuming m is positive.\nAnswer: m**(-1562)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -7*n + 17*n - n. Let o(m) = -2*m**2. What is o(y(d))?\nAnswer: -162*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 e, and 1 m when three letters picked without replacement from rcerrrccccccrfffmrre.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.233 kilometers to meters.\nAnswer: 94233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 5*y + 36, -20 = -2*u - 4*y + 12. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54214 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 - 2*s + 6. Let i be k(4). Suppose 5*w + 5 + 10 = 0. Let j be i\/(-4)*2\/w. Solve -5*x = 4*g + 12, j*x + 12 = -4*g + 3*x for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(52)\/((sqrt(36) - sqrt(4))*2) - sqrt(104)\/(sqrt(8) - sqrt(32)*4))**2)*1.\nAnswer: -1563\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, b: 7}. What is prob of picking 3 s and 1 b?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 0*y + 0 - 4\/3*y**3 + 2*y**2 + 1\/10*y**5 + 0*y**4 + 1\/60*y**6. Determine q so that k(q) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.82 - -0.18. What is the nearest to 1 in y, 3\/2, 9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -598 = -4*s + 2*s. Suppose -s + 24 = -5*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -189 + 288. Calculate the greatest common factor of 9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 113961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15093192935.73 - -5.\nAnswer: -15093192930.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99555101 divided by 3.\nAnswer: 99555101\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**4 - 8*r**4 + 0*r**4 - r**3)*(2 + 4 - 1).\nAnswer: -15*r**4 - 5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4194\/12 - 3\/(-2). Let z = g + -133. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 3:15 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 4157 = -18468. Let b = -855 - k. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*i + 25, s = 4*i + i + 13. Suppose -19 = -2*c + 3*a, 10 + 5 = -s*a. Find the third derivative of -v**5 + 3*v**2 + 0*v**5 - v**c wrt v.\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133041 (base 7) in base 11?\nAnswer: 1791a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d. Let t be w(-6). Let j = 6 + -10. Let r = t + j. Solve r*b - 1 = 3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/8)\/(3\/(-9)). Let p be 1\/d - (-22)\/99. Let 1\/12*n**2 + p*n + 1\/4 = 0. Calculate n.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 131 - 41. Calculate the highest common divisor of g and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 2:48 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2449 - -183.7249. Let i = m - 154.6. What is i rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8579731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -140 - 44?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 + 48*i + 108.\nAnswer: -3*(i - 18)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 44.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -876 = -3*b - 870 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*z - 20*z + 13*z)*(2*z + 4*z - 5*z)*(3 + 0 + 0) to the form m*z**2 + g + u*z and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 73835.9 decades in months?\nAnswer: 8860308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ninety-seven thirds of a day?\nAnswer: 46560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161235 - 132425 = 670*n for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1972?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 25*d**3 - 2*d**2 + 2*d - 1. What are the prime factors of o(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -5*c + 3*c, c - 9 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -5 (b) 3 (c) 1\/4 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4)\/t*(t\/t**(-7))\/t*(t\/t**(2\/3)*t)\/t**(-1\/2))\/((t\/(t**(-1\/6)\/t))\/(t*t**(-1\/2))*((t\/(t\/t**2))\/t)\/t**1) assuming t is positive.\nAnswer: t**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -25*o**3 - 13*o**2 - 4*o - 1. Give d(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 253932 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -1\/6*g**3 + 8*g**2 + 5*g + 0. What is the tens digit of b(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-9)*6 - 272\/(-51). Put 5, q, -1, -5, 33 in decreasing order.\nAnswer: 33, 5, q, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1563.113l?\nAnswer: 1563113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 10 = -n, 0 = 2*a + n + 3. Let t be (30\/9 + a)*-2. What is w in t*w - 4\/3 + 4\/3*w**2 - 4\/3*w**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one fifth of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 83.2 (b) -0.1 (c) 8\/3 (d) -1\/2 (e) -2 (f) -2\/9 (g) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11692 + 11683 - 35067 + 11689 + 6*j**2.\nAnswer: 6*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*x = -4*f - 3, 0 = -2*f - 3*x - 9. Suppose 355*m + 98 - 706 = 102. Put -2, m, 5, f in descending order.\nAnswer: 5, m, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4696.7 + 4516. What is h rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361439377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -8*a**2. Let k(h) = 23*h**2. Let w(o) = 6*k(o) + 17*z(o). Let x(m) be the second derivative of -10*m + 1\/3*m**3 + 0*m**2 + 0. Determine x(w(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 0*m + 1\/12*m**4 - 2*m**3 + 7*m**2 + 0. Let x be h(6). Solve 0 = -a - c + 2, -5*a + 2*c - 3*c + 14 = x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 287\/4, 0.33, -7, 1\/2, 1\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 2. Let h be f(2). Let n be (-708)\/141 - 5\/(-7 - 6\/(-1)). Which is greater: n or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2185529?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 113276 and 9408.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 9) to base 3.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 17*w - 1989 = 6*w, 4*g - 4*w - 447 = w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 764 greater than or equal to 851?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61779291 divided by 7.\nAnswer: -8825613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.289 - -0.111. Which is the nearest to -1? (a) -4 (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**4\/12 + 2*s. Let a = 7 + -4. Let g(l) = -l + 0*l + a*l. Give v(g(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 0*z**6 + 0*z**3 + 0 + 4\/21*z**7 + 3\/4*z**4 + 0*z**5 + 8*z + 0*z**2. What is the third derivative of r(q) wrt q?\nAnswer: 480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -62637 at least -62638?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2299098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 9 = -s. Calculate the lowest common multiple of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201203141 (base 5) to base 3\nAnswer: -1111211020222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18098846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*o = 4*n - 11087, 4*n + 3*o = 11075. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33885 and 120?\nAnswer: 271080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w + 8. Let i(g) = -13*g - 25. Let j(h) = -4*i(h) - 11*z(h). Differentiate j(t) with respect to t.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -655, -715, -815, -955, -1135?\n\"Answer: -20*v**2 - 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 + 11*q**2 + 4*q + 3. What is f(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/21 of a week?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1553 - -3124. Is 20 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04280288 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -54*r**3 + 4*r**2 - 6*r + 4. Let y be k(3). What is y rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 4*c + 16, -5*k + 4*c + 20 + 4 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 13*g**2 + 6*g + 1. Let v(u) = 12*u**2 + 5*u + 1. Let j(o) = 5*v(o) - 4*y(o). Let c be j(-1). Let m = 12 - c. Put 2\/9, m, 5 in increasing order.\nAnswer: 2\/9, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 19*m + 116. Let c be r(-6). Solve f = -2*q - 2*f - 2, -2*f - c = 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 19*r**2 + 2*r - 13. Let b(k) = k**2 + 18*k + 10. Let p be b(-13). Let z = p - -74. What is the tens digit of f(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 51, 33, -5, 1, 0, -4 in increasing order.\nAnswer: -5, -4, 0, 1, 22, 33, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 5*d = -58, 5*d = -1010*k + 1015*k - 70 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 o, and 1 n when three letters picked without replacement from snsnyynstnyytnonsn.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, 23, 138, 351, 692, 1191, 1878, 2783?\nAnswer: 3936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20072 = 3*s - t - 7518, -2*s + 4*t = -18380. Is 36 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262030?\nAnswer: 2, 5, 26203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 5*r - 755, 8*w - 4*r - 1267 = 3*w. What are the prime factors of w?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**3 + 13*l**2 + 12 - 16*l**2 + 5*l**2 + 3*l**2 + l**2 + 3*l in the form q*l**3 + j*l + u + w*l**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -196344, -394560, -592778, -790998, -989220?\n\"Answer: -h**2 - 198213*h + 1870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 160 - -21. What are the prime factors of l?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 1. Let v(f) = f**2 - 6*f - 6. Let z be v(8). Let s(o) = -o - 4. Let r be (3 - 1) + -2 + 2. Give r*s(d) + z*h(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 5266 and 0.766.\nAnswer: 5266.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -22. What is the second derivative of y - 7 + g - 2*y**2 wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.13115252 and 6551?\nAnswer: 6551.13115252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-575 + 118 + 94 - 732)*(-5 + 5 - 2*l + 6) + 2*l + 8 - 8.\nAnswer: 2192*l - 6570","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-15)\/s)\/(s\/(s*s*s**(-4\/9)*s*s)))\/(s\/(s*s**16)*s**(-2\/23)) assuming s is positive.\nAnswer: s**(961\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v**2 + 233*v + 1200. Let f(l) = -2*l**2 - 78*l - 400. Let n(b) = 7*f(b) + 2*x(b). Factor n(t).\nAnswer: -4*(t + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -336.00000241 + 336. What is y rounded to 7 dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 + 3 + 0)*(-4*q + 2*q + q)*(2 + 2 - 5)*(-1 - 2 - 2 + (0 - 2 + 4)*(-4 - 2 + 5))*(11 - 7 + 35) to the form u*q + d and give u.\nAnswer: 3822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/7))**(-2\/133)*h\/((h**(2\/39)*h)\/h*h)*h*h\/((h**12*h*h)\/h)*h assuming h is positive.\nAnswer: h**(-364718\/36309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 7*i**3 + 6*i**2 - i + 1. Let j(p) = 11*p**3 + 9*p**2 - p + 2. Let o(g) = 8*h(g) - 5*j(g). Let n be ((-10)\/30)\/((-1)\/(-12)). Calculate o(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37178579 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-405)*18)\/(2\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.24302l to millilitres.\nAnswer: 72243.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -3, -9, -7 in increasing order.\nAnswer: -11, -9, -7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21157.987806 - -0.012194. Let q = n - 21162.6924. Let r = -4.7 - q. Round r to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2816076958?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.04846 (b) 99 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2a (base 14) to base 7\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 7*q**2 - 11. Let g(l) = 3*l**2 - 5. Let s(d) = 13*g(d) - 6*m(d). Suppose -16 = 2*r - 4*i, -4*r + 4*i - 3*i - 32 = 0. Let x = r - -9. Determine s(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2524896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 7*w**2\/2 + 41*w - 1. Let u be f(-5). Solve q = u*q + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + 2 + -23 + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 157 - 154. Solve u = y*f - 2*f - 6, 0 = 4*u + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-17 - -31 - (5 + 43)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m**2. Let q(a) = 480*a - 1. Let k(j) = -2490*j + 6. Let f(o) = -3*k(o) - 16*q(o). Calculate f(w(l)).\nAnswer: 1050*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 259628?\nAnswer: 1038512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 o when four letters picked without replacement from {f: 3, v: 4, i: 1, n: 4, o: 2, t: 1}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(2) - sqrt(18)) + 0 + (-5*sqrt(4)\/sqrt(2))**2).\nAnswer: -12*sqrt(2) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -37*l - 512. Determine m(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h. Let t(v) = -9*v. Let u(i) = 2*g(i) - t(i). Let z(w) be the second derivative of -79*w**3\/3 + 6*w. Give z(u(d)).\nAnswer: 158*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m. Suppose 3 = -33*x + 36*x. Let w(p) = -1. Let q = 6 + -8. Give q*y(l) + x*w(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 + -2200\nAnswer: -2201.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggqgqggcggqgcqdg. What is prob of sequence qd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(45\/6)\/(-5). Solve -j = -m*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**3)**(-7\/5)\/(p**(2\/9))**(-16))**12)**(-2\/21) assuming p is positive.\nAnswer: p**(232\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245)*-1*-3*-4.\nAnswer: -84*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*sqrt(1300) - sqrt(637)*-1).\nAnswer: 81*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.51 - 1.54. Let n = -0.05 - v. Let k = -129 + 124. Which is the third smallest value? (a) -4 (b) -0.4 (c) k (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 7.24589 centuries in months?\nAnswer: 8695.068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 12 = 10. Let h be (0\/1)\/l*(-6)\/12. Solve 0 = -h*j + j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -19*p**2 + 0*p + 0*p**5 + 4\/105*p**7 + 0*p**4 - 14\/3*p**3 + 0*p**6 + 0. Differentiate s(i) with respect to i.\nAnswer: 32*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10a - 5?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 170.24316 to the nearest integer.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 7*d + 64. Let k(x) = 1 - x**3 + 2*x - x - 2*x + 3*x**2 + 3*x. What is the smallest common multiple of k(3) and a(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 5:23 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -56678, -56758, -56884, -57050, -57250, -57478, -57728, -57994?\n\"Answer: w**3 - 29*w**2 - 56650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**4\/6 - 5*t**3\/6 + 43*t**2\/2 + t + 1846. Determine v(9).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9065279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o + 10. Determine b(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 163 + -155. Does 2 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z**2 + 46*z - 130. Calculate the lowest common multiple of s(7) and 355.\nAnswer: 3195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + (-5)\/10)*310. Let n = -6155\/8 + f. Calculate the common denominator of 83\/24 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7*w + 321. Give s(49).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*r + 15 = 0, 4*r = 8*r + 20. Let z = -28 - -50. Let a = z + -21.6. What is the third biggest value in m, a, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 2\/13 (c) -2 (d) -3 (e) 5.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.05 (b) 0.4 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 4:41 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 9*v - 13 + 3 + 7 + 4*v**2. Let m be d(6). Let f = -13 - m. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8073, 16115, 24157, 32199, 40241?\n\"Answer: 8042*l + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i**2 - 2*i**2 + 2*i**2)*(3 + 3 - 4)*(-4 + 6 + 2) + 17*i**2 - 6*i**2 + 3*i**2 to the form v + f*i + p*i**2 and give p.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*z - 5 + 3 + 9*z + (-13 + 5 + 4)*(-4*z + 4*z + 2*z) to b*z + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*((v\/(v**(2\/51)*v))\/v)\/v)\/v)\/v)\/v*(v**22*v)\/v*(v\/((v**16*v)\/v*v))\/(((v\/(v*v*v**(-7\/5)*v*v*v*v)*v)\/v)\/v))**(-23) assuming v is positive.\nAnswer: v**(-38479\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 3:27 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -1113210333?\nAnswer: 1113210333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 12*n**3 - 9*n**2 + 18*n - 98. Is b(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v**(2\/11)\/v)\/v))**38*(v**(-1\/15))**(4\/27))**(-3\/7) assuming v is positive.\nAnswer: v**(-477046\/10395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.2 + -2. Let x = 0 - -12.8. Let i = x - 17.8. Are i and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 386.7651 + 4.257\nAnswer: 391.0221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -101, -298, -597, -998, -1501, -2106?\n\"Answer: -51*u**2 - 44*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(45) - (-1 + sqrt(45)))*-6 + -4 - ((-1*sqrt(8640))\/(sqrt(12) - sqrt(12)*-1*-5))**2.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/3426 and -101\/5910.\nAnswer: 3374610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17474100 to the power of 1\/3, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 628426399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/42)\/((-12)\/(-872)))\/(276\/(-1932))\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**3 - 8*q**3 + 2*q**3)*(-6*q**2 + 5*q**2 - 25*q**2).\nAnswer: 234*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/27 and 1\/1482?\nAnswer: 13338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6517, 6223, 5929, 5635, 5341?\n\"Answer: -294*a + 6811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -3. Let l be -1 - (-1 + 0)*n. Let b = l + 4. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 966 = 3*k + 4*q - 207, k + 2*q - 389 = 0. What are the prime factors of k?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 + 4*o**2 - 172596*o**3 - 5*o**2 + 172529*o**3.\nAnswer: -67*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6464.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 2*j - 3*j)*((j + j - 3*j)*((0 - 2 + 0)*(-2 + 4 - 1) - 2 + 5 - 2) + 0 - 2*j + 0).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 1, 3, 10, -763 in descending order.\nAnswer: 51, 10, 3, 1, -763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6 + 1 + 4)*(11 - 11 + 8*m**2).\nAnswer: 104*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 15, w = s + 1 - 7. Let j be 3*s\/(-3)*-6. Find the third derivative of j - l**2 - 6 + 10*l**5 wrt l.\nAnswer: 600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*y + 124 = 129*y. Suppose 7*w = 2*w + 5. Let p = w - -7. Solve p = 5*c - y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183.0956 times -2.43?\nAnswer: -444.922308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 373345?\nAnswer: 373345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22\/1056*8 + 0\/(-1). Determine o so that 1\/6*o + 1\/3*o**2 + 0*o**3 - n*o**5 + 0 - 1\/3*o**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 510, 989, 1468?\n\"Answer: 479*y + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (1 - 2)\/1. Let g = -143 + 160. Suppose 19*a - 72 = -g*a. Solve -a*f - b - 1 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1067923, -2135843, -3203763, -4271683, -5339603, -6407523?\n\"Answer: -1067920*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -485, -1271, -2415, -3917?\nAnswer: -5777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1109990)\/(5 + 0) + -2. What is s rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3157493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12060\/1340)\/((-1)\/(-2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 731.5 + -731. Which is the second smallest value? (a) 110 (b) -0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180727 and 14246?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z - 18. Let v be w(9). Let s be 5*(-3 - (-54)\/15). Solve 0 + v*j - 4\/3*j**s - 2\/3*j**2 - 2\/3*j**4 = 0 for j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5427 + 5477 = q. Suppose -2*b = 3*b - 15. What is the lowest common multiple of b and q?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, f: 3, g: 4, w: 3}. Give prob of picking 1 g, 1 f, and 1 w.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, x: 1, p: 1, z: 1, j: 1, f: 1}. Give prob of sequence jpxs.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13149.63 and -51212.\nAnswer: -64361.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 520387 and 721?\nAnswer: 53599861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*i + 15*i - 21*i)*(4 - 1 - 5)*(-2 - 6 + 5) in the form m + u*i and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1939 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*f = 3 + 2, -2*f = -5*b + 25. Solve b = 3*t - 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32\/(-8)*1\/2. Let u = o - -28. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 8*n**3 + 6*n + 6. Let p be ((-8)\/2)\/(20\/(-30)). Let i be (-86)\/18 + 4\/(-18). Let y(x) = 7*x**3 + 5*x + 5. Calculate i*f(a) + p*y(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 7*t**2 - 6*t + 8. Let p be q(6). Let l = p - 9. Let g(z) = -5*z - 5. Let c(b) = b + 1. Let a(i) = l*g(i) - 4*c(i). What is a(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y - 6419 + 6419.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/4472 and -101\/1551472.\nAnswer: 66713296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2607 + -1383. List the prime factors of z.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 39 = 7*k. Let b = k - 25. What is the highest common factor of b and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 - 26. Suppose -3*n - 31 = -2*l, -l - 3*n + 16 = -5*n. Calculate the smallest common multiple of l and b.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252944648.\nAnswer: 2, 11, 1487, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**5 - 32184*h**3 - 284*h + 107.\nAnswer: 20*h**3 - 193104*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -53*l - 2139. What is t(-40)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x + 371. Let n(v) = 277442*v. Calculate i(n(d)).\nAnswer: 277442*d + 371","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2348612778?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 252635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12815 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -109600800 * -0.5.\nAnswer: 54800400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2596 and 531.\nAnswer: 23364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10363855765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.263 + 1.587. Let w = v - 1.75. Let c(u) = -6*u**3 - 2*u**2 - u. Let h be c(-1). Sort h, 19, w.\nAnswer: w, h, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68563, -68475, -68247, -67813, -67107, -66063?\nAnswer: -64615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 913853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1661, 3287, 4811, 6179, 7337, 8231, 8807, 9011?\n\"Answer: -9*l**3 + 3*l**2 + 1680*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 2*i - 24. Let f be 3 - (3 + 2 + i). Is 7 a factor of 304\/f + 8\/44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 19*f**2 - 318*f + 5265. Determine j(18).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q**2 - 1. Suppose 2*n = n + 9. Suppose -2*x = -5*f - 0*x, -2*f - x = n. What is the remainder when r(f) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2714*v**2*z**2 + 2*v**2 + 2*v*z - z**2 - 651*z - 24 wrt v.\nAnswer: 5428*v*z**2 + 4*v + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4.563756 months?\nAnswer: 0.380313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 685 and 6987.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 9246.\nAnswer: 83214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -45*g + 497. Let z be v(11). Are z and -29 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x**2 - 3*x - 3. Let q(m) be the third derivative of -m**5\/10 - m**4\/6 - 2*m**3\/3 - 12*m**2 + m. Give -4*l(p) + 3*q(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 - 2012*b**2 + 287343*b + 4414410.\nAnswer: -(b - 147)*(b + 14)*(b + 2145)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**3\/4 - 39*l**2\/2 + 93*l + 270 = 0.\nAnswer: -2, 10, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 24. Solve 6 = 3*k - d for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26452 and 3.882.\nAnswer: -102686.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - l)*(-5*l**4 + 9*l**2 - 9*l**2) - 2 + 3*l**5 + 2 + 3 - 3 - 6*l**5.\nAnswer: 2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -59 - 47 - 2*n + 61 in the form o + v*n and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*0.05611.\nAnswer: -0.028055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmtzztztlmtpmt. Give prob of picking 1 m, 1 z, and 1 p.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 833088.7 millimeters to micrometers.\nAnswer: 833088700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 18*w**2 - 19*w + 5. Let z be c(-19). Let d = 9 - -1. Sort d, z, 3.\nAnswer: 3, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 132779, -0.08, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.079 * 71.\nAnswer: 5.609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21790 is divided by 236?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 211 + 423. Suppose -8*s - u = -1381. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*v + 45*v - 35*v - 8297355. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001299 to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*o - 20*o - 116 + 10*o)*(4 - 2 + 2) to z*o + k and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l + 6*l - 8*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 1:07 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.159, 3\/8, -0.1, 0?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -187632, -375009, -562378, -749733, -937068, -1124377, -1311654, -1498893?\n\"Answer: h**3 - 2*h**2 - 187378*h - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1182.8 - -1038. Let t = x + 144. Let a = 4 - 6. Is t greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7, 23, 49, 85?\n\"Answer: 5*r**2 + r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -222913, -222915, -222917, -222919?\nAnswer: -222921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4237135057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*a - 24995 = -2048*a - 73789 for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 820241 is divided by 1524?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2 - 3460*v + 52350 = 0. What is v?\nAnswer: -1745, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1459102, -1459097, -1459088, -1459075, -1459058, -1459037, -1459012?\nAnswer: -1458983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 52 = 5*r + 4*g, -10*g - 7*g - 148 = 20*r + 12*g - 31*g for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51175 is divided by 632.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -100 (c) 17\/66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 435 + 0 = 0. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 - 6*w + w**2 + 3*w**2 as d*w + g*w**2 + y and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 652*j + 59382 = 2875*j + 825*j + 16710 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -3 + 2 + 3. Let t(q) = 2*q**3 - 3*q**2 + q + 2. Is t(p) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1697.60055216 + -1697.6. What is b rounded to 6 dps?\nAnswer: 0.000552","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 9*m - 9 - 10 - 10.\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -492069*j**2 - 149713*j - 2 wrt j.\nAnswer: -984138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.16 in 3, 2\/19, 1.153?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18181, 36363, 54527, 72673, 90801?\n\"Answer: -9*s**2 + 18209*s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -14*b + 14*b**2 - 7 - 19*b + 8*b + 0*b**3 + b**3. Is h(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 8655 = -8457. What are the prime factors of b?\nAnswer: 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19513 to two decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 3, -209, 5 in descending order.\nAnswer: 5, 3, 1, 0, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/6)*a**(1\/4))\/(a**(-6)*a**(-3\/10)) assuming a is positive.\nAnswer: a**(383\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = n - 4. Let a(o) = 1. Let s(b) = 22250*b + 4450. Let q(w) = 4450*a(w) - s(w). Let r be q(n). What is r rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33884 + 33890. Let r(h) be the first derivative of -3\/2*h**2 + 37 - s*h. Give r(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3\/88 (b) 1\/20 (c) -2.45 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 82?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39137245?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93\/(-2)*(-4)\/3 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8270414853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 282253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0468, -1\/3, 3, 2074.\nAnswer: -1\/3, 0.0468, 3, 2074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/67531 or -0.038?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27639909 and 297?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/168 and 25\/2?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71640 = 3*w + 2*i, -w + 64*i - 63*i + 23890 = 0. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**3\/3 + 7*q**2\/2 + 13*q - 12. Give a(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6304 (base 8) to base 12.\nAnswer: 1a84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.1 - 9.2. Which is the closest to m? (a) -1 (b) -2\/11 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5481498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2222100 (base 4) to base 8\nAnswer: -25220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -1982211.\nAnswer: -594663.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000511835 rounded to seven dps?\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 + 2 + -4 + -3 + -2536 + 2562.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1196*m**3*q**3 - m**2*q**2 + 769*q**3 wrt m.\nAnswer: 7176*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1843199 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from kuseuvkvg?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppwwwppwwppp. What is prob of picking 4 p?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 b when three letters picked without replacement from azabbzazzbaazaaa.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q + 4 - 4 + (-2*q + 7*q + 0*q)*(2 - 4 + 4).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvfvvvvv?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 3*s + 5*s)*(-2 + 2 + s**4) - 3*s**5 - 2*s**4 + 2*s**4 - 3*s**5 + 3*s**5 + s**5 + 4*s**5 - 6*s**5 + s**5.\nAnswer: -2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.11*17089\nAnswer: -1879.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3054.6 - -3448. Let u = v - 393. Suppose 2*h - 2*j = h + 1, -5*j = -5*h - 5. Put h, 0.1, 2\/13, u in descending order.\nAnswer: u, 2\/13, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305319.\nAnswer: 3, 7, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - ((16 - -3) + -42).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4234 and 348?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 7*j**5\/60 + j**3\/6 - 103*j**2 + 5*j. Let v(w) = -11*w. What is p(v(y))?\nAnswer: 847*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 + 120*q**3 + 1332*q**2 + 6480*q + 11664.\nAnswer: 4*(q + 6)**2*(q + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1996110 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 128896322 a multiple of 957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from pddpppp?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 4, -1.2, 3\/113, -5, -1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 13) to base 5\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b**2 - 6*b**2 + b**2)*(-3 + 2 + 0)*(-11*b + 6*b + 25*b + (-2 + 2 + 1)*(-89*b - 3 + 3)) to a + n*b**2 + x*b**3 + y*b and give x.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.68738 years in decades?\nAnswer: 3.568738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0. Suppose 0 = p + f - 8, 0 = -p - 2*p + 3*f. Suppose p*r - 5*z = r - 4, -2*r = -z - 2. Solve -3 = g + s, 0 = 4*g + r*s - u + 16 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 11*q**2 - 6. Let f(j) = 24*j**2 - 13. Let g(p) = -6*f(p) + 13*t(p). Let u(y) be the third derivative of -11*y**4\/24 + 2*y**2. Calculate u(g(r)).\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406*n - 159*n + 4693 = 0 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 12 = 5*q, -5*c = q - 9028. Is c a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**2 - 3841*f - 3840 = 0.\nAnswer: -3840, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*y + 13*y - 1088 = 0. Put 13, y, 3, 5 in decreasing order.\nAnswer: y, 13, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 15102831.\nAnswer: 30205662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -19. Suppose 4*g + 17 = -3. Let u be (-4)\/g*(-5)\/(-2). Solve 0 = -u*i + s*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -105 - -104. Is 35 a factor of (n\/(-1))\/((-36)\/(-9072))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1112531865?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*(-6*sqrt(8)*2)**2*-5.\nAnswer: 138240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d**3 - 27*d**2 - 7*d + 13. Let q be y(-5). Put 4, 0, 392, q in decreasing order.\nAnswer: 392, 4, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 13 = -2*l, g - 36 = -4*l - 13. Suppose 0 = 2*i + 2*j - 1098, g*j - 2206 = -4*i + 8*j. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5906 is divided by 224.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286*x + 315*x - 3 + 315*x + 310*x + 381*x - 1464*x.\nAnswer: 143*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 5 + 2*p + 0*p - 4*p + 3*p + (-2 - 3 + 4)*(0 + 2*p + 0) + 3*p - 4*p - p - 2 + 2 - 4*p + 3824*p + 70591 - 70591 to h*p + f and give h.\nAnswer: 3817","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685613.\nAnswer: 685613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from {o: 1, y: 2, z: 2, v: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 188819 (base 13) to base 14\nAnswer: 1216b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29.09 - -29.195265. Round l to three dps.\nAnswer: 0.105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 9. Let w be n(-16). Let q(o) = -2*o + w - 1 - 1 - 4. Give q(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.054 less than -19787466962?\nAnswer: -19787466961.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - 2*c**2 + 0*c**2)*(2*c + 0 - 2 + 0)*(5 + 3 - 6).\nAnswer: -8*c**3 + 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 2381732 and 102414514\/43 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and 450.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -5*l + 88. Let y = l - 17. What is the least common multiple of 18 and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24900*n**3 - 24915*n**3 + 2*n + 49781*n**3 - 85 to s*n + t*n**3 + b*n**2 + z and give t.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -330537997 + 0?\nAnswer: -330537997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -64. Is 17 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-10))\/(8*(-12)\/(-640)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 838 (base 10) in base 14?\nAnswer: 43c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-468)\/180)\/((-3)\/(-6)))\/(23\/(-115)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 151342456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9885935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -8*r**2 - r**2 + 0*r**2 - 9*r**2 + 23*r**2. Let z = 6 + -2. Let j(c) = -1 + 1 + z*c. Give j(k(m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 - -52. Which is the nearest to 3? (a) -2 (b) -0.4 (c) -3\/2 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1920 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 305, 603, 901, 1199, 1497?\nAnswer: 1795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) -13 (c) -3\/2 (d) -1\/6 (e) 0.2 (f) -7 (g) -42\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - y**2 - y + 14. Let k be q(0). Suppose i + 5 = 0, 5*i + 111 = 2*d - 54. Calculate the greatest common factor of k and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44.6 in 2, -18\/193, -0.01?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 151?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/266 and (-1228)\/(-266) + (-96)\/(-48) - 7.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - s - 2)*((6 - 2 - 2)*(1 + 2 - 4) - 40 + 49 + 83 + 5 - 1 - 3)*(-2 + 3 - 2).\nAnswer: 91*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4)\/((-18)\/(-72))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + (sqrt(1872) + (-6*sqrt(1872) - sqrt(1872)))*4)**2 + -5*(sqrt(1872) + -2) + 2*(sqrt(1872) - (-6*sqrt(1872))**2) + sqrt(1872).\nAnswer: -1213050 - 1176*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 3*k**2 - 3*k - k**2. Suppose 5*i + 1 = -4*m, 3*i + 454*m = 459*m + 29. Determine w(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n - 1. Let a(v) = -2*v + 8. Let x be a(6). Suppose 5 = i - 4*w, -3*i + 4*w + 31 = 24. Let b be x\/(-1) + 0 + i. Determine t(b).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 3. Let d = -65 - -67. Sort d, -2, q in descending order.\nAnswer: q, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*n. Let a = -0.2 - -0.3. Let j = 0.4 - a. What is the nearest to n in j, -2\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*z - 64, -2*w = -11*z + 13*z - 36. Let v be 6*5*11\/3. What is the highest common divisor of z and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u**2 - 2*u + 7. Let s(a) = 16*a**2 + 7*a - 22. Let q(t) = 7*o(t) + 2*s(t). Differentiate q(l) wrt l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - p**2 + p + 4. Let f be o(0). Suppose 2*m + 2*m = -3*n + 69, -54 = -f*m + 2*n. Suppose 1 = 2*l - s - 7, 0 = 5*s. Solve -c = -l*c - m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*n + 107, -2*n - n + 4*m = -62. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 6:33 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1015*y**4 + 29238180*y**3 - 210531456540*y**2 - 402507104480*y + 37345538880 = 0. Calculate y.\nAnswer: -2, 18\/203, 14404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from pqpppqqqpqpqp.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(375) + -2*((sqrt(375) - 1*sqrt(375)) + sqrt(375))))\/((6*sqrt(100))\/(sqrt(5) - (-2*-1*sqrt(5) - sqrt(5)) - sqrt(5))).\nAnswer: -5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -124454 and -0.7.\nAnswer: 87117.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -294.98 + 295. Which is the third smallest value? (a) -2\/9 (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.117*-1.5\nAnswer: 0.1755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 7 = 5*t - 3, -3*t + 3*s + 6 = 0. Let f = -4 - -7. Solve d + f = -t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1141 - -1143. Which is the third biggest value? (a) h (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257268 is divided by 293.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-142)\/(-74*147\/(-10878)).\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 11) + 0 + 10 + (283 - 262)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4100 + 20372 + 4610 = -453*u - 25777 for u.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3525 and 3564725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z - 2. Let w(h) = -1. Let b(i) = 3*i + 5. Let a(l) = -b(l) - 2*w(l). Let t = 123089 - 123092. Calculate t*a(g) + 4*x(g).\nAnswer: -3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 18 - 58. Suppose -d*x = -39*x. Solve x*k + 5*k - 5 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*m + 1454136 = -409081. What is m rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - (-385)\/120)\/(20\/8). Let h(w) be the third derivative of 0*w + 7*w**2 + 0 - 1\/60*w**5 + 1\/2*w**3 - a*w**4. Factor h(n).\nAnswer: -(n - 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2755592815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 5*p**2 - 6*p. Let i be x(-4). Let j = i - 8. Solve -1\/4*n - 3\/4*n**2 - 3\/4*n**3 + j - 1\/4*n**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 15. Solve 3*y - 4*s = -5 - 11, 20 = -v*y + 5*s for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -72 + (3 - 6\/1) + 2. Let g = y + 66. Sort g, 2\/3, 1\/2 in decreasing order.\nAnswer: 2\/3, 1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 5*o**9\/504 - o**5\/30 + 7*o**2. Find the third derivative of n(d) wrt d.\nAnswer: 600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.2 + -1.8. Which is the biggest value? (a) y (b) 20 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 20*x - 43. What is the least common multiple of h(17) and 994?\nAnswer: 3976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*j**2 + j**3 - 48*j**2 - 60*j**2.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 205527507 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*d + 294*d = -3990 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (252 - 266 - (-22 - -1))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-2)\/64)\/(56512\/16727552).\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5 + 825*f**4 - 3322*f**3 - 4970*f**2 + 3321*f + 4145 = 0. What is f?\nAnswer: -829, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3812 - 3340. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a**2 - 9*a + 9. Let t(f) = -3*f**2 + 4*f - 4. Let l(c) = 9*t(c) + 4*z(c). Let d(g) be the third derivative of -g**4\/4 + 2*g**2. Calculate d(l(k)).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + 0*b**3 + 0*b**3)*(-8*b + 17*b + 15*b + (b + b - 3*b)*(7 - 23 - 10)) - 4*b**4 + b**3 + 0*b**3 + 3*b**4.\nAnswer: -51*b**4 + b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 + (19 - 47) - (1 - (9 - -1)) - -7?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -21773 + 200589. Suppose 2*o - 3*a = 7*o - 25, 3*o = -5*a + 31. Suppose o*f = 15296 + n. What is f rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -752, 1, -2, 5 in ascending order.\nAnswer: -752, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1498920 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 25*g - 5707. Determine f(228).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -3) + 4 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 973090231?\nAnswer: 973090231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*g**3 + 20*g**3 - 125*g**3 - 10*g + 10*g.\nAnswer: -53*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66)\/(-99))\/(5\/6)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(88) + (sqrt(88)*-1 - sqrt(88)) + sqrt(88) - sqrt(88))*1)\/(sqrt(96)\/(sqrt(1728) - (sqrt(1728)*3 - sqrt(1728))))*-6.\nAnswer: 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 86*l - 1116. Let i be s(13). Let j(o) be the first derivative of 8 - 1\/8*o**4 + 1\/4*o - 1\/12*o**3 + 1\/48*o**6 + 0*o**5 + 3\/16*o**i. Factor j(r).\nAnswer: (r - 2)*(r - 1)*(r + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3878*t**2 - 1301*t**2 + 64*t - 1286*t**2 - 1290*t**2.\nAnswer: t**2 + 64*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 4*u + 7. Let k be n(4). Suppose -6*p = -k*p + 1. Solve 2*r = -y - 1, -4*y = -r - p - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a milligram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 at least as big as -0.36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -2*v - 20 + 3, 2*v - 15 = 3*t - 3 + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -0 - 4. Suppose -m*p - 13 = -3. Let t(j) = 2*j - 5*j**2 - 2 - j**3 - 2*j. Determine t(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 244 and 439958962?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7. Let p(n) = 3*n - 14. Let l(h) = 5*o(h) + 3*p(h). Let u(x) = 4*x - 3. Calculate 3*l(c) - 7*u(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41810 - 27412. Does 52 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*(1 + -4 + sqrt(468) + sqrt(468) + 5*(sqrt(468) + 3))*-6 + 0)**2.\nAnswer: 145152*sqrt(13) + 3322942","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27378 - 136894\/5. Which is the nearest to 0.03? (a) 5 (b) -2\/133 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*t = 2*t - 3, -t = -4*h - 15. Let w = -32.9 + 33. What is the closest to -1\/2 in h, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 + -45. Let v(n) = n**2 + 2*n - 3. What is v(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 14.76. Let a = q - -0.2. Let z = -0.44 - a. What is the second smallest value in 0.1, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*d - 5*n - 4, -3*d = -5*n - 18. Suppose 5*w - 11 = -d, -207 = -3*y - 3*w. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 t, and 1 j when four letters picked without replacement from {n: 2, i: 2, u: 2, t: 4, j: 2, m: 2}?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 458 - 5955\/13. Put g, 2, 6\/7 in ascending order.\nAnswer: g, 6\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4595959?\nAnswer: 83, 55373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 - 52 = 15*k - 64 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195533775, 195533774, 195533773?\nAnswer: 195533772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2. Let v(k) = k**2 - 3. Calculate b(v(d)).\nAnswer: d**4 - 6*d**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.7154 - 0.2846. Which is the third biggest value? (a) q (b) 0.2 (c) -0.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68341, -273547, -615631, -1094593, -1710433, -2463151, -3352747?\nAnswer: -4379221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence woom when four letters picked without replacement from {o: 3, m: 4, f: 1, t: 1, w: 5, k: 3}.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -782a857 - -1?\nAnswer: -782a856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -46*d + 14*d - 2. Put 4, -16, d, -5 in ascending order.\nAnswer: -16, -5, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7 = 5*i - 28, -15 = -2*i - p. Suppose 5 = i*t - 10. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 8*j**2 - 63*j + 48. What are the prime factors of f(-20)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s**2*v - 12*s**2 - 15*s - 568*v - 2 wrt s.\nAnswer: -2*s*v - 24*s - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 v when two letters picked without replacement from ivivisiivivvvzviizi.\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/(-6) - 2\/(-6). Let h be ((-12)\/s)\/(-3) - -2. Let p(f) = -2*f + 0*f + h*f. Determine p(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -122, -246, -366, -482, -594, -702?\n\"Answer: 2*k**2 - 130*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -146*r**3 - 420*r**3 + 1197*r**3 + 654 wrt r.\nAnswer: 1893*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q = 684 - 310 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**5\/7 + 4*y**4\/7 + 304*y**3\/7 + 288*y**2\/7 - 12960*y\/7 - 43200\/7 = 0. Calculate y.\nAnswer: -6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -42 + ((-40)\/24)\/((-35)\/63)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y. Let x(w) be the first derivative of -6*w**2 - 4. What is x(t(p))?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + i**2 - i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7860813 (base 9) to base 3.\nAnswer: 21222000220110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**4\/7 + 48*x**3\/7 + 1184*x**2\/7 + 3840*x\/7 = 0. What is x?\nAnswer: -12, -4, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 1 - 53. Let v(i) = -i**3 + 2*i**2 + 10*i + 2. Let h be v(-5). Let o = h - 121. Solve 0 = -4*n - 5*y + 7, -w = -o*n + n - 2*y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1454, 1420, 1338, 1184, 934?\nAnswer: 564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/236171 and 13\/4.\nAnswer: 944684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 225221 and 6.\nAnswer: 1351326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/32)\/(-1))\/((-27)\/12)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-12) + (-2)\/(12 - 4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -314163*z**5 + 356593*z**2?\nAnswer: -18849780*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.4 - -2.01. Let s = 3.19 + u. Let w = 2.8044 - s. What is w rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52126 divided by -64.\nAnswer: 26063\/32","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*o + 3*o. Calculate the lowest common multiple of (0 - 56\/(-4)) + o and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**3*s**2 - 90*c**3 + 186*c*s**2 with respect to s.\nAnswer: -2*c**3*s + 372*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000063565 to seven decimal places.\nAnswer: -0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n - 6745 + 6745. Let g(z) be the second derivative of z**6\/180 + z**3\/3 + z. Let i(h) be the second derivative of g(h). Calculate i(b(o)).\nAnswer: 72*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4024\/2 - (2 - 7). Let p = g - 1194. List the prime factors of p.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 6*v**2 - 2*v - 2. Let b(d) = d**3 + 5*d**2 - 2*d - 2. Let y = 47 - 41. Suppose -11*u = -14*u - 15. Determine u*z(i) + y*b(i).\nAnswer: i**3 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1111*b**3*c + 50550*b**3 + 32*b*c - 2113*b + 28*c wrt b.\nAnswer: -6666*b*c + 303300*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 2 - (0 + 3). Let a(i) = i**2. What is the remainder when 15 is divided by a(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-2*f + 3*f - 3*f) + f - 3*f + 3*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (6\/34)\/((-62)\/(-527))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3482.5 - -3483. Which is the second smallest value? (a) -3\/4 (b) -130 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - 3*w + w + w + 4*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 1. Suppose 14*i - 10 = 16 - 12. Let j(o) = 7*o**2 + o - 6. Give i*j(g) - 5*h(g).\nAnswer: 2*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5039 is divided by 38.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*sqrt(66)*2 - sqrt(66)) + (sqrt(66) - -3*(1*sqrt(66) + sqrt(66))))\/(3*sqrt(384)*-3))**2.\nAnswer: 11\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15014 is divided by 221?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 38 = 12. Calculate the least common multiple of r and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 12. Suppose -m*v - 4*l = -45, -4*l = l. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r. Let j be m(8). Let g = j + 19. Let y(z) = z - 2. Let n be y(2). Solve -5*f + 2*q = -q - 25, n = 4*f + q - g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (0 - 7) - (26 - 58)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-155)\/(-2) - 6\/12. Round x to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4176\/80)\/(2\/(-82)). Let s = m + 2147. Calculate the common denominator of s and -5\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 8 = 0, -3*h - i - 4 = 3. Let j = 2 - h. What is the second derivative of o**j + 0*o + o**3 + 2*o wrt o?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**4\/24 - 1069*h**3\/6 - 39*h**2 + 16. Let r(c) = 2*c**2. Calculate t(r(f)).\nAnswer: 2*f**2 - 1069","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2462019901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 134.82 (b) -0.03 (c) 102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15 or -10\/217?\nAnswer: -10\/217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-9)*g**1*(((g*g*g**3)\/g)\/g)\/((g*g*g**(2\/9)*g)\/g) assuming g is positive.\nAnswer: g**(-56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1592342\/10395 + -41680\/297. Let h = m - 96\/77. Let q = -747\/217 + 3\/217. Find the common denominator of h and q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14478514700 to the nearest one million.\nAnswer: -14479000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -12, -3, -3952 in increasing order.\nAnswer: -3952, -12, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1256, -2511, -3766, -5021, -6276, -7531?\n\"Answer: -1255*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58700 = -2*b + 2*d, 0 = -5*b + 161*d - 162*d + 146714. Does 131 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(125) + (sqrt(125) + sqrt(125)*-3)**2.\nAnswer: 5*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**6 + b**3*x**2 - 2*b**3 + 4*b**2*x**2 + 75*x**2 wrt b?\nAnswer: 360*b**3 + 6*x**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - 2 + 2)*(3*u + u + 0*u) - 7*u**2 - 273*u**2 + 59*u**2 to the form t + b*u + s*u**2 and give s.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8415 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, t: 1}. What is prob of sequence tj?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/32 + (-43)\/8. Let z(c) = -c**3 - 7*c**2 - 2*c - 2. What is z(h)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*j - j + j)*(3 - 5 + 1)*(2 - 1 + 2) - j - 21*j - 19*j)*(-j - 2 + 2).\nAnswer: 53*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -568, -2357, -5376, -9613, -15056?\nAnswer: -21693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of -2*(-5094 + -14 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -842*b - 2. Let x be c(2). Let i = 3463\/2 + x. What is the common denominator of -89\/20 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -83 - (-36 + (-53 - -42)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52591 + 36788 + 24427 + 35944 = 1198*d for d.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3))**4 assuming z is positive.\nAnswer: z**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.26 + -0.06. Let x = 4.22 + -0.22. Put z, x, -0.6 in decreasing order.\nAnswer: x, z, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 40.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21144, 71277, 154832, 271809, 422208, 606029, 823272?\n\"Answer: 16711*x**2 + 4433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 407 - -173901222\nAnswer: 173901629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 401954104*k**4*o - 18*k*o - 81*o + 2117 wrt k.\nAnswer: 4823449248*k**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-30) + ((-104)\/255 - 1). Let y = a - -16\/17. Is y != 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 732*k - 301*k - 68817 = -360*k for k.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.11 + 2.89. Which is the fourth smallest value? (a) -0.2 (b) h (c) -3 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 296 + -291. Let y be (2 - 3)*1 - 1. Let m be -2 - -5*(3 + y). Solve f*j + 17 = n, m*n = -0 - 9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -290 or -376?\nAnswer: -290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 156 - 155.7. Let y = -14 + 16. Which is the closest to -1? (a) y (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) 1804 (c) -9\/8 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -11331*r - 90581. What is l(-8)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*t - 12. Suppose 7*k + 37 = 3*k + 5*i, -5*k - 40 = -5*i. Sort -1, t, k.\nAnswer: k, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**5\/5 - 2*o**4\/5 - 434*o**3 + 7890*o**2 - 39600*o = 0 for o.\nAnswer: -40, 0, 11, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/6 - 217\/14. What is the hundreds digit of ((-2485)\/y - 5\/(-1))*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z - 4*z + 56*z + (-4*z + 2*z + 0*z)*(-1 + 4 - 1) - 1 + z + 1 + 1 + 2*z - 1 - 14*z + 0*z - 7*z to a + g*z and give g.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 8:00 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5912166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(160)\/sqrt(5) + (-1*sqrt(2) + 2)**2 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*n + 35 = 0, -5*x + 3*n = -0*n - 240. What is the highest common factor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000381343 to seven decimal places.\nAnswer: -0.0000381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + 34 + -19 + 5 + 0 + -2?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.47 + 44.83. Let n = g + 9.7. Let f = n + -56.46. Round f to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 278, 177, -190, -955, -2250?\nAnswer: -4207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*w - 16. Suppose 4*a + 3*g = -15, 4*a - 2*g = 2*g + w. Let t(d) = -2 + a - 8*d - d**2 + 4. Determine t(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -g - s - 60, 3*g - 2*s = -361. Which is the second biggest value? (a) g (b) 6 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -1 + 11. Suppose -2*c = 5*h + 4, 3*h + 2*c = -h - 4. Solve -3*y - j*y = h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3454371560?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 18 + -23 + 33 + -5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041314311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 6*l**2 + l - 4. Let p be o(6). Let v(a) = 15*a - 15*a + p*a**2. Let w(q) = q**2. Give v(w(g)).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 2045060.\nAnswer: 2045059.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -12 - 40. Suppose 0 = -4*n + 5*i + 25, -n + k = 2*i - i. Suppose -n = -2*w - 2. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 693834740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-1)\/(-5))*-3. Let w = r - 0. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -337 + 4379\/13. What is the nearest to -1 in -0.1, -4.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 3. Let l(k) = k + 1. Let n(z) = -6*l(z) - 2*r(z). Let s(u) = -u**2 - 5. Let f(j) = -1. Let c(v) = -5*f(v) + s(v). What is n(c(p))?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (7 + -3 + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 3 + -9 + -28 - (-9 + 2)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5521294317?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -1\/6, -42\/689, 2, 0.1, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -51. Do 2\/5 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 685*h = 684*h + 13, 0 = -y + 4*h - 54 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 227335*t - 113668*t - 585*t**2 - 113667*t. Let n(x) = -11*x**2. Calculate u(n(i)).\nAnswer: -70785*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -542*k**2 - 3739*k + 402. Determine t(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 321547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 7*u - 1. Let m = 17 + -16. Let t(n) = 12*n**3 - n. Let w be t(m). Suppose -4*f = 3*c - w, -2*f = -2*c - 3*f + 4. Determine d(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*n + 6 = 0, 5*k + 5*n - 9 = 1. Let j(t) = -2*t - 18. Let d be j(-12). Let g(c) = -2*c**3 + k*c + 3 + c**3 + 7 + 3*c**2 - d. Determine g(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 3*n + 43. Let v = n - -124. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -562 (base 8) to base 6\nAnswer: -1414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3) - 14\/(-3). Is 26 a factor of (-4 + (-298)\/(-10))*y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8061713?\nAnswer: 11, 79, 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1010111 (base 2) to base 11\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c - 117529 + 117529.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*t**4 + 3*t**4 + 5*t**4 + (t**2 + 2*t**4 - t**2)*(-1 - 2 + 1) - 3*t**4 + 2*t**4 - t**4 - t**4 + 3*t**4 + 0*t**4 + 2*t**4 - t**4 + 0*t**4.\nAnswer: 23*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 72*y - 2. Let u(x) = -2*x. What is q(u(j))?\nAnswer: -144*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23807 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3*b - 4*n - 28, b + n = 8. What is the remainder when b is divided by 8 + -1 + (-2 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63696*-0.2\nAnswer: -12739.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a week in minutes?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2937\/89)\/(12*(-3)\/60).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1513 + -6?\nAnswer: 1508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/8)\/(11\/((-110440)\/(-12))) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 x when three letters picked without replacement from duxduuuuv.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, j: 1, l: 1, q: 1, z: 2, g: 1}. Give prob of picking 2 l, 1 g, and 1 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from jlnolnojallllnln.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 925 a factor of 14215715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 1. Let o(n) = n**2 - 3*n + 3. Let k(t) = -o(t) + 3*r(t). What is the second derivative of k(x) wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*z - 67, -335 = -3*u - 2*u + 3*z. Let q = u + 141. Is q a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -367 - 2063. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 19*m**2 + 40*m + 26. Let i be w(-21). Suppose i - 92 = -8*z. Solve -n - 24 = -3*n + 4*x, -2*n + z*x = -19 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**4 + 393*m + 7137 wrt m.\nAnswer: -4*m**3 + 393","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t - 14. Let m(s) = -57*s**2. Give h(m(o)).\nAnswer: 228*o**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-110)\/33*(324\/30)\/9?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4079.1 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.5 (b) 26 (c) 2\/9 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1252 + -1249. Let m(u) be the first derivative of 7 - 3\/2*u**2 - q*u. Determine m(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 3904?\nAnswer: 42944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4, 27, 78, 149, 240?\n\"Answer: 10*r**2 + r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 50 = 23. Solve -1\/3 + 5\/6*n**h - 1\/6*n**4 + 7\/6*n - 3\/2*n**2 = 0 for n.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4426 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 1:56 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.1. Let l be (4 + 6)*(-2)\/(-4). What is the nearest to i in 4, 0.4, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2420 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 5*n + 15, 2*n - 6639 = -y - 6655 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (5\/6*((-1677)\/10)\/(-13))\/(16\/64)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 56461, 112902, 169345, 225790?\n\"Answer: r**2 + 56438*r + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*n - 209*n + 10240 = -579*n for n.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*q*x**3 - 1048*q*x**2 + 218*q*x - 2*x**3 - 9*x**2 + 984 wrt x.\nAnswer: -222*q*x - 2096*q - 12*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -4*a + 10*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**7*(l**(2\/63)*l)\/l*l)\/(l**5\/(l\/(l*l**(-9)))) assuming l is positive.\nAnswer: l**(758\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**2 - 5*w + 6. Let u(v) = 17*v**2 - 21*v + 25. Let j(m) = 9*r(m) - 2*u(m). Let k be j(1). Solve 2*c - 5 = k*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72332915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115607 (base 8) to base 15.\nAnswer: bbe5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.1 + -10.7. Put 1, -2, d in descending order.\nAnswer: 1, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74246*z**2 - 151346*z**2 + 68462*z**2 - z to the form k*z**2 + r*z + u and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/12 and 15\/(-5) + 0 - (-18)\/(-52)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 34*u + 276. Calculate b(21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/((-28)\/(-336))*75\/50?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6857 - -7593. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000260367 rounded to 6 dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 8015000 to the nearest 10000.\nAnswer: 8020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101000100011 (base 2) to base 8.\nAnswer: 5043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -8*q - 1067. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63374 + 63374 - 5693*m**5 - 1200*m**2 wrt m.\nAnswer: -341580*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 60*b**3 + 2*b**2 - 9*b + 10. What is the hundreds digit of t(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xiuuxxxn. What is prob of sequence iun?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5865684*-32\nAnswer: 187701888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22813?\nAnswer: 7, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 2, 4*r - 4 = y - 17 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-3 + 2))\/(88\/(-330))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 - -57. Let p(y) = -16*y**2 - 2*y - 2. Let f(t) = -t**2 + 1. Let l(a) = u*p(a) - 5*f(a). Let j(s) = -5*s**2 - s - 3. Give -7*j(q) + 3*l(q).\nAnswer: 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(624) - (sqrt(624) - ((sqrt(624) - (sqrt(624) - sqrt(624)*2)) + sqrt(624) - sqrt(624))*6)) + sqrt(624))\/sqrt(12).\nAnswer: 26*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1727531?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n**2 - 15*n + 36. Let h(i) = i**2 + 2*i - 5. What is -2*f(d) - 15*h(d)?\nAnswer: -3*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.90529 rounded to 2 dps?\nAnswer: 1.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009321357152 to 5 dps.\nAnswer: -0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w**3 + 72*w**2 + 14. Let k(y) = -y + 3. Calculate the remainder when j(-18) is divided by k(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 24707313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/11584 and -81\/4.\nAnswer: 11584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 o when four letters picked without replacement from {q: 11, o: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-56)\/(-35) - (-4)\/10. Let m(v) = -2*v**2 + v + 5*v**2 - 3 - 2*v - h*v**2. Let k be (-44)\/(-10) + 2\/(-5). Determine m(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*-1*(-1)\/26)\/(12384\/(-80496)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q. Suppose 0 = t + 3*p - 15, -3 = -2*p + 7. Let l(y) be the third derivative of -5\/24*y**4 + 0 - 21*y**2 + 0*y**3 + t*y. Determine l(u(i)).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 14) to base 7\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-16)*x*x**(-20)*x*x**(-4)*x*x*x**(1\/10)\/x assuming x is positive.\nAnswer: x**(-39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h*t**2*x - 1261*h*t*x + 1115*h*x + 25*h - 2*t**3*x wrt t?\nAnswer: 4*h*t*x - 1261*h*x - 6*t**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*i. Let f(j) be the second derivative of i*j**3 + 0 + 1\/2*j**4 - 4*j**2 + 1\/10*j**5 - 2*j. Factor f(k).\nAnswer: 2*(k - 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10905, 20596, 30287, 39978?\nAnswer: 49669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52474 by 35.\nAnswer: 52474\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12038.2753681 - 0.1353681. Let l = k - 11923.1454. Let a = l - 115. What is a rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/12)\/(2\/(-6)). Let b be s\/3*18\/(-48). What is the nearest to b in 2\/7, -2\/13, 4\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26.741 - -0.441. Let i = -26 - c. Sort i, 4, 5.\nAnswer: i, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - x + 1. Let s = 33 + -32. Let v(q) = -11*q**2 + 15*q - 6. Let c(r) = s*v(r) + 6*i(r). Find the second derivative of c(o) wrt o.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*k - 40*k + 102*k + 5 - 2*k + 3*k + k + (-6 + 4 + 3)*(-k + 3*k - k) + k + 1 - 1 to d*k + a and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 2 - 16 = 0. Suppose y*w + 536 = 6*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/9*(-20 - 55\/(-5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1720710067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -60.8 and -5.\nAnswer: -65.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -88 + 88 + u**2. Let p(i) = -i. Determine p(k(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15.2 or -6?\nAnswer: 15.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136, 136, 132, 124, 112?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 5*k**3\/6 - 5*k**2 + 10*k. What is the first derivative of w(p) wrt p?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1089070 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {u: 2, e: 3, x: 2, y: 4, n: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 0*v**2 + 2\/9*v**3 + 0*v**4 - 2\/15*v**5 + 0*v + 3. Let g(k) = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 1010056951.\nAnswer: -1010056950.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20526 is divided by 6816.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1008 and 1584.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(1\/3)*j**(-2\/11)*(j**1)**(-35) assuming j is positive.\nAnswer: j**(-1139\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdpdppppddppppppppp. What is prob of picking 2 p?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*g - 23 - 55 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**4 + q**3 - q**3 + (-q**2 + 0*q**2 + 0*q**2)*(-11*q**2 + 8*q**2 + 24*q**2).\nAnswer: -18*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*h - 33*h - 41*h + 108*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + v + 16. Let d be u(0). Let a = 6 + -5. Suppose 5*t = 21 - a. Calculate the greatest common divisor of t and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 8 + 7)*(5*o**2 - 5*o**2 + 2*o**2)*(5*o - o - o) as l*o**3 + y + f*o + a*o**2 and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3624.46 + 3656. Let d = 31.52019 - h. What is d rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73985475 a multiple of 237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkdkkkkdkxd. What is prob of picking 2 d and 1 x?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 1:08 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 166 - 108. Let o be 0 - (4 + -5 - q\/(-54)). Which is bigger: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 5, 0, -196, -22 in decreasing order.\nAnswer: 30, 5, 0, -22, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -336, -236, -136, -36, 64, 164?\n\"Answer: 100*p - 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/28 + 0\/(-2). Let m = -8 + 4. Let h = m - -2. Which is the second biggest value? (a) j (b) -2\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 20002?\nAnswer: 13333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2793, 2680, 2361, 1728, 673?\n\"Answer: -18*l**3 + 5*l**2 - 2*l + 2808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*c**5 + 5*c**3 + 1287*c + 1?\nAnswer: -680*c**3 + 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**7\/504 - h**6\/48 - h**5\/12 + 11*h**4\/24 - 12*h**2. Let q(c) be the second derivative of d(c). Find b such that q(b) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, b: 4, y: 2, v: 1, i: 1}. What is prob of sequence bi?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423610\/55 + -19 + 0 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/15)\/(1\/5). Suppose r*f - 3 = 7. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29 and 0.73?\nAnswer: 21.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/9*3\/(-1) + 153. Let c = 183 - s. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4131.9 + -4132. Let m = -4 + 4. Let k = m - 4. Which is the closest to i? (a) -2\/27 (b) 2\/9 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4. Let w(z) = 79*z**2 + 6*z + 11. Calculate -3*r(x) - w(x).\nAnswer: -79*x**2 - 6*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -712 = 281*o + 905 + 626 + 286 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 12:29 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 21*k**2 - 1 - 23*k**2 - 5*k**3 + 4*k**3 - 4*k as j*k**3 + c*k**2 + a + g*k and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-114)\/(-76))\/((-9)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i + 12 = -14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 15*s + 468. Give f(-24).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/66 and 67\/418.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppcppcttpcccc. What is prob of picking 1 t and 1 c?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 7:29 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-20)\/(-72))\/((-10)\/(-6)))\/(17\/153)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 673 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 k(t) = 7*t**2 + 0*t - 25*t + 4 + 7*t + 9*t + t**3. Let z = 3 - 11. Let a be k(z). Solve 3*u = -5*v - 20 + 51, 0 = 4*v - 4*u - a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*m - 10 = -m, 4*l = 2*m + 8. Suppose 6*p - l*p = 8. Suppose 3*o + 2*d = 137, -p*o - d + 37 + 53 = 0. What are the prime factors of o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)*w**(2\/5)*(w*w**(-4\/7)*w)\/w**(-8))**(-1\/47) assuming w is positive.\nAnswer: w**(-169\/1645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -9*f**3 - 10*f**2 - 5*f - 66. Let z(m) = -14*m**3 - 16*m**2 - 8*m - 99. Determine 8*y(j) - 5*z(j).\nAnswer: -2*j**3 - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-90))\/((5456\/20)\/22).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 28, 43, 56?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656282355?\nAnswer: 3, 5, 43752157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1182, 4, -0.3, -5, -2, 0.3 in descending order.\nAnswer: 4, 0.3, -0.3, -2, -5, -1182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/591 in 1, -0.1, 5\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210 and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-2) - (-2)\/1. Suppose 8*p = 10*p - 8. Suppose -z + j = -p. Solve -z*s - 1 = -6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-522 - 95*v**2 + 2*v - 134*v**2 + 225*v**2)*(-v - 6 + 2 + 3) to the form s*v**2 + n*v**3 + w + a*v and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 13) to base 3.\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -178 + 205.6. Round r to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9958962.\nAnswer: 2, 3, 13, 127679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 4. Let i(c) = -c**2 - 42*c - 108. Let m be i(-3). Determine q(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 42*c**2 + 41*c - 5. Is 62 a factor of n(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33659901?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 53*f**2. Let d(r) = 521*r**2. Calculate z(d(s)).\nAnswer: 14386373*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(-35) + (-398)\/(-10). Suppose -m = -5*q + 5*d, 6*q = q + 3*d + 30. What is the third biggest value in -1, -5\/6, 2\/9, q?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 + 67 - (0 + -13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10202383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36385946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/2, -224, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 55\/4 of a micrometer?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -41*g**6\/30 - 7*g**4\/12 - 595*g**2\/2 + 513*g. Differentiate m(v) wrt v.\nAnswer: -164*v**3 - 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*y = 3*w - 93, 155 = 5*w + y. Let l = w + -26. Suppose l*f - 2*z = -340 - 166, -z + 203 = -2*f. What is f rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 2*m = -34*c + 43*c + 14 + 1, 0 = -5*c - 2*m - 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 t when two letters picked without replacement from tstttttt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) -203 (b) 18 (c) 1\/7 (d) -3\/4 (e) -1 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-12))\/(4\/(-24)). What is the nearest to -0.2 in m, 2\/5, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430962 is divided by 1664.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + p**2 - 2*p + 2. Let k be o(-2). Suppose -4*v - k = -102. Let c(i) = -2*i + 1. Let l be c(-2). What is the greatest common divisor of v and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93 + -103. Let d be t*2*(-6 - -5). Solve -4*f + 4 = d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-16)*43 + 3\/(-2). Let o(r) = -r**3 - 22*r**2 + 22*r - 44. Calculate o(l).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -85*w**2 - 2. Let y be u(3). Suppose -15*x + 10835 = -17935. Let v = x + y. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, -5, 156, -367 in descending order.\nAnswer: 156, 6, 1, -5, -367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 120 + -121. Let r(d) = -2*d + 11. Let o be r(4). Sort o, w, -2.\nAnswer: -2, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 - 28*d**3 - 54*d**3.\nAnswer: -83*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 960219 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.42, 0.6, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/6851 - -6843\/27404. Solve -3\/4 + 1\/2*n + v*n**2 = 0 for n.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -811.0003276 - -811. What is m rounded to five decimal places?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/(((r**18\/r)\/r)\/r))*r**19)**(-4\/7) assuming r is positive.\nAnswer: r**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, -20, 0, -0.012?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -15*b**2 - 13*b - 15. Let o(x) = x**2 + 2*x + 1. Give 7*o(p) + r(p).\nAnswer: -8*p**2 + p - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.04 (b) -1.6 (c) -0.04 (d) -18\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 - x + 1. Let l be z(1). Let v(p) = -2 + 2*p - 4*p**3 - 9 - 8 + 18. What is the tens digit of v(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8002 + 20755 = -38*c + 195577. What is the greatest common divisor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65212043 is divided by 7245781.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(-2*s**2 + s - s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwnnnwnw. What is prob of sequence nw?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000059367369 rounded to six dps?\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/((b*b**4)\/b))\/b))\/b*(b**0\/b)\/b)\/(b**(2\/5)*b*b**(-1\/2)*b) assuming b is positive.\nAnswer: b**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122 + -123. Put 82, y, 2 in decreasing order.\nAnswer: 82, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*l + 80 + 43 = 24 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**3 - 18*c**2 - 2*c - 216. Calculate x(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9040947 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(6\/16) + 29 + (-7722)\/352. Which is the second biggest value? (a) 13 (b) 2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6412 and 27.\nAnswer: 173124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1015853 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 9 = 5*m + 56, -2*x - 28 = 4*m. Let l = 5 - 31. What is the common denominator of l and ((-124)\/x + -15)*(-131)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3992 + 8392. What are the prime factors of m?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18541*k*l**6 + k*l**5 + 70*k*l**2 + 3*k*l - k - 12 wrt l.\nAnswer: -2224920*k*l**3 + 60*k*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20201 (base 4) in base 15?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.27 + 1.27. What is the fourth biggest value in 0.4, 0.3, 0.11, v?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22154 is divided by 739?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from {a: 1, n: 1, o: 1, q: 2, j: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01584 and -1.1.\nAnswer: 0.017424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 + l + 2. Calculate the remainder when 51 is divided by z(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316245119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, 1, 3, 0.3 in increasing order.\nAnswer: 2\/19, 0.3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -4, 3200, 6.\nAnswer: -4, -2, -1, 6, 3200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/98*7*4\/(-18)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 69 - 67 = 0. Let l = 68 + k. Let o(v) = 5 + v**2 + v - 13 - 2*v**2. Give o(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10 - 18) + (-237)\/(-30). Let y = 0 - -0.1. Let o = 0.3 + -0.1. Put o, g, y in descending order.\nAnswer: o, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.6 - 2.6. Let h = 11 - i. Let r = 2.6 + h. What is the nearest to 0 in r, -2\/19, -5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ab6a5 (base 13) to base 9.\nAnswer: -1248741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 6*b - 12)*(-7*b + 2*b - 3*b - 3*b).\nAnswer: 66*b**2 + 99*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -154551?\nAnswer: 154556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -3*x + 43. Suppose 0 = x*y - 23*y - 604. What is the remainder when y is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76989*l**3 - 9*l**2 - 57*l + 13 wrt l.\nAnswer: 461934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -14, 5, 2, -4, 36, -100.\nAnswer: -100, -14, -4, 2, 5, 13, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 53b6 - 314?\nAnswer: 50a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 3 = -2*n - u + 20, 94 = 17*n + 5*u for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002117898436 rounded to seven decimal places?\nAnswer: -0.0002118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.57 + 1.57. What is the fourth biggest value in 0.14, 3\/4, s, -1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2444, 4945, 7466, 10019, 12616, 15269, 17990?\nAnswer: 20791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 744860015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -1167*q + 4725. Calculate w(4).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56458 or 56461?\nAnswer: 56458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -442508*i**2 + 2*i + 110440 wrt i.\nAnswer: -885016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*r**3\/7 + 41604*r**2\/7 + 41613*r\/7 + 10404\/7.\nAnswer: -3*(r - 3468)*(2*r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9924 to 2 dps.\nAnswer: -0.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 704839 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = -67 + 2. Let v(t) be the third derivative of 1\/3*t**3 - 1\/20*t**5 + 0 + 0*t + u*t**2 - 1\/60*t**6 + 0*t**4. Give v(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 21*r - 16 = 0. Solve r - 3 = -d, 0 = y + 2*d - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25 - 2101787?\nAnswer: -2101762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**4 + 436*n**3 - 921*n**2 - 19584*n + 55188 = 0.\nAnswer: -438, -7, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 14. Let u = -28 - -20. Let q = 6 + u. Are q and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by 2?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(360)*-1)\/(sqrt(160)\/sqrt(5)))**2 + -6*(sqrt(3645) + -3*-2*sqrt(3645) + sqrt(3645) + sqrt(3645))**2.\nAnswer: -1771425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 e when two letters picked without replacement from {o: 3, e: 4, y: 1, x: 6}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 2*w**3\/3 - 7*w**2\/2 - w. Let q be o(13). Suppose 0*u = -3*u + 54. Calculate the highest common factor of q and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**2\/t)\/t)\/t)**29*((((t*t\/t**(-10)*t)\/t)\/t)\/t)\/t**(1\/7) assuming t is positive.\nAnswer: t**(-134\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 74 + 89 = -5*z, -1 = -z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 282847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18928)\/(-468))\/(-91) - (-110)\/207?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((196\/7)\/(-196))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832)*-2)\/sqrt(4) + 1 + (0 + sqrt(1300) - sqrt(1300)))**2.\nAnswer: -16*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 21*n - 60 = 0. Let a(p) = p**3 + 14*p**2 - 16*p - 13. Let x be a(n). Suppose -3*y + 3 = 0, -4*w + x*y = -y - 373. Is w a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12\/1729 + 38002\/5187. Suppose -4\/3*l - 6*l**3 + 0 - d*l**2 = 0. Calculate l.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 + -48. Solve -3 - 13 = h*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*f + 18. Suppose 0 = -0*g - f*g - 28. Calculate the remainder when (12\/(-18))\/(g\/402) is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6028599188?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 + 51. Let l(p) = -6*p**2 - 5*p**2 + n*p**2 - p**2. Let q(y) = 5*y + 2*y - 4*y. Calculate q(l(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 39?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 minus 59.9?\nAnswer: -59.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 195 + -193. Suppose -10*l**3 + 136*l**3 + 4*l - 4*l - 2*l**p = 0. Calculate l.\nAnswer: 0, 1\/63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a + 4. Let t = -11 + 13. Let k(p) = -10*p + 21. Let v(q) = t*k(q) - 11*z(q). What is the first derivative of v(s) wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/125277?\nAnswer: 2\/125277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2*45\/(-100)*(-5)\/6\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -13) + (0 - (2 + 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k**5\/7 - 3258*k**4\/7 - 68667*k**3\/7 - 19626*k**2\/7 + 61500*k\/7 + 30024\/7 = 0.\nAnswer: -18, -2\/3, 1, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17, 43, 83, 143, 229, 347, 503?\n\"Answer: l**3 + l**2 + 16*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 11) to base 4.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + sqrt(50) + -2)**2 - (sqrt(2) - sqrt(1250))) + 0 + (-3*sqrt(242) + sqrt(242))**2.\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 6*a**2 - 2*a + 6. Give g(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2595823 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/2 - 2205*i**2\/2 - 1103*i.\nAnswer: i*(i - 2206)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 - 2*p**2 + 2. Calculate k(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + 1 - 1)*(-42 - 22 - 48 - 432).\nAnswer: -1632*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 339374, 15 in descending order.\nAnswer: 339374, 15, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80.6 + 81. What is the closest to -4 in o, 0.1, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4644*b**3 + 3313*b**2 - 86703056*b wrt b?\nAnswer: 27864*b + 6626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104752 < 1104748?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 2205956.\nAnswer: -1\/551489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -9043\nAnswer: 1\/9043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, w: 3, f: 1, p: 9}. What is prob of sequence wp?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 739008 greater than 739082?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 b, and 1 g when four letters picked without replacement from xppgpxbjgppkbj.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3605\/(-2163))\/((-170)\/(-12))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 396.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7, 33, 119, 295, 591, 1037, 1663, 2499?\n\"Answer: 5*f**3 - 9*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305536 = -195*j - 29*j. Calculate the highest common divisor of 372 and j.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 45 + 19)*((-4*j - 1 + 1)*(2 + 1 + 1) - 2*j + 2 - 2).\nAnswer: -684*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**3 - 7*p**2\/2 - p - 11. Is c(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l - 27. Is p(17) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1929 by -3.\nAnswer: -643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*h - 182*h + 45*h - 1891 = -53*h for h.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6b (base 15) in base 3?\nAnswer: 10202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10872 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 9:05 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 5*v**2 + 6. Let o be h(0). Solve 6 + 22*n**5 - o + 20*n**4 + 23*n**5 = 0.\nAnswer: -4\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3209, 6419, 9629, 12839, 16049?\n\"Answer: 3210*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -2741861.2564144?\nAnswer: 2741860.7564144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -5 (c) 1 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 948828 is divided by 237179?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -219 divided by 3?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -25. Suppose -10 = 4*c - b*c. Suppose c*g - 19 = 25. What is the least common multiple of 10 and g?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 - 5 + 5*p**2 + 4*p**2 - 2*p**2.\nAnswer: 4*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 3*v + 7, 3*x - 5*v + 87 = 105 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 3 - 6 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-9)*(3 + 9). Suppose x + 8 = -4*c. Is -3 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -6*a**2 + 0*a + 0*a**4 - 3\/200*a**6 + 0*a**3 + 1\/350*a**7 + 1\/50*a**5 + 0. What is k in t(k) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/((p*p**(-25))\/p*p))*p**8)**(1\/3))**(-48) assuming p is positive.\nAnswer: p**256","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*q = -3*l - 1301 + 1073, 3*q = -l - 14 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 9.93. Let w = 0.13 - i. What is w rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*o + 675 = -p - 134 - 52, -o + 2*o - 8 = -2*p for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1755611912 to the power of 1\/3, to the nearest integer?\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 + 4*r**2 - 112 - 10 to v*r**2 + y + q*r and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 2.711868 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15 + 3*n - 4*n**4 - 6 - 55*n**3 + 5*n**4 wrt n.\nAnswer: 12*n**2 - 330*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q*r**4 - 3*q*r**3 - 164*q*r**2 - 4*r**5 wrt r?\nAnswer: 72*q*r - 18*q - 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 2*a**3 + a**3 + 23 - 46.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/(-35))\/(20020\/(-1925))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z - 14. Suppose -16*d = -12*d + 24. Let r(w) = -11*w - 29. Let y(o) = d*r(o) + 14*p(o). Give y(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2522 divide 47880269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -3 (b) 0 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45476 - -66373. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6149178699.\nAnswer: 3, 2049726233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1611 and 541191?\nAnswer: 539580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -74, -70, -64, -56?\n\"Answer: o**2 + o - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 3:39 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.433 to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 1)*(-3*a**3 - 107*a**2 + 107*a**2) to r*a**3 + p*a + t*a**2 + k and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29 - -17090a2?\nAnswer: 170910b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n + 16. Let z be t(2). Suppose 11*u - 19*u = -z. Let d(y) = y**3 - 4*y**2 + 3*y + 2. What is d(u)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -244, -928, -2068, -3664, -5716?\nAnswer: -8224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 4 = -4*a, -44*a + 42*a + 4*v - 8 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 8. Suppose -3*j + 34 = -5*r, a*j - 79 = -2*r - 17. What is the units digit of 148\/j - (-16)\/(-72)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 7*t - t**3 - 5*t**2 - 2*t + 4. Let r be h(-6). Suppose 0 = -5*s + 4*f - 2*f + 46, -4*s - r*f = -20. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/30*18\/14)\/(3396\/15848)\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t**2 + 90363*t - 60246 = 0. What is t?\nAnswer: -10041, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3112*y**2 + 3. Does 35 divide x(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -83062642, -166125285, -249187928?\n\"Answer: -83062643*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*f**2*m*q - 8*f**2*m + 5*f**2*p*q - 2*f**2*p - m*p*q + 2*p wrt q.\nAnswer: 6*f**2*m + 5*f**2*p - m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 20 + 5, 3*q + 5*w + 13 = 0. Let d = -16 + 20. Suppose 2*z - 37 = -3*z + q*r, d*z - 17 = -r. Solve 0*u + z = u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2309811, 4619643, 6929493, 9239361, 11549247, 13859151?\n\"Answer: 9*k**2 + 2309805*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2784.8 + 2784.79. What is the fourth biggest value in 2\/13, 0.2, v, 10, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -10. Suppose -36 = 3*y + r*y. Which is the closest to 1? (a) y (b) -1\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 44\/1163823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37 and 13?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 67 - 333 = 4*f + 212 - 107, 7*q - 2*f = 215 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 8*f + 2. Let o be (6 + -14 + 2)*(-2)\/4. Let v(n) = -9*n - 3. What is o*k(y) + 2*v(y)?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -4 - 0, 3*o - 2*z = -1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 5*x + 1. Let k be l(5). Suppose 4*s - 9 = -k. Let q = s + 1. What is the biggest value in -1\/9, q, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*2\/36)\/((-3)\/(-4))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6) + (-5811)\/(-63) + 22*(-185)\/(-2849)\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-432)\/20 - (-4)\/(-10). Let n = h + 22. Is 1 + -3 + n - -39 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? (a) -2 (b) -0.5 (c) -83 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, c: 5}. Give prob of picking 4 c.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1153 - -1171. Calculate the highest common divisor of 153 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 u, and 1 y when three letters picked without replacement from {i: 6, v: 1, y: 5, p: 2, u: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2866?\nAnswer: 2, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 8*l - 3. List the prime factors of z(5).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67235782 divided by -17?\nAnswer: 3955046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -7*f**4\/11 - 1791*f**3\/11 + 52284*f**2\/11 - 330512*f\/11 + 54720 = 0.\nAnswer: -1980\/7, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 964*b + 59 = -2*r + 961*b, 0 = 3*r + b + 99 for r.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = v. Let y = 12 - 17. Sort v, 0.3, y in descending order.\nAnswer: 0.3, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1465160003?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 39. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/5 (b) -3\/4 (c) -187 (d) -3 (e) 17.2 (f) 0 (g) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -840 or -267?\nAnswer: -267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6578 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7850524, 7850431, 7850338?\nAnswer: 7850245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-x + 0*x + 2*x)*(4*x - 6*x + x) - 3*x**2 - 2*x**2 + 3*x**2)*(-15 + 10 + 4).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -2. Let t be 1 + m\/(-2 + 3). Let f = t + 11. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/219, 2\/5, 1, -0.1 in decreasing order.\nAnswer: 1, 2\/5, -4\/219, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23586840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 10:13 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (-26)\/(-22) + (-7 - -7). Which is the second biggest value? (a) -4 (b) s (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -202.4 - -202. Which is the nearest to -2\/5? (a) t (b) 2\/9 (c) 1 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7)\/14)\/((-1)\/(-9)). Which is bigger: -4 or f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/21)\/((1776\/936)\/(-37))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (6 - 21) - 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 571 divide 255584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3819*i**2 + 3811*i**2 - 11537*i**2 + 3907*i**2 - 2*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-408)*(-10)\/(90\/(-18)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2718550 to the nearest integer?\nAnswer: 1649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t + 2. Let i(q) = q**3 - 4*q**2 - 6*q + 7. Let y be i(5). Let x = 0 - 5. Let h(k) = -9*k + 5. Give x*o(v) + y*h(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 5*l**2 + 26*l + 194. What is i(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 53333 * -170\nAnswer: -9066610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-28)\/(-7) - (-6 - -1). Let s(y) = -y**3 + 8*y**2 + 11*y - 10. Let c be s(m). What is the highest common factor of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 450*d**2 - 1115*d**2 - 1143*d**2 - 713*d**2 + 248*d**2.\nAnswer: -2273*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 18*j**2 - 46*j + 20. Let l be g(2). Let a(d) = d**2 - 26. Determine a(l).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -91 - -94. Let z be 26 - (-6 + 15) - 1. Sort -5, z, -1, w in decreasing order.\nAnswer: z, w, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 43 = d, 6 = 3*y + 4*d - 31. Solve 4*z - 3*f = -12, -z = 4*z - 4*f + y for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3435 + -34.8\nAnswer: 3400.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -91713000 to the nearest 1000000.\nAnswer: -92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty sevenths of a week in days?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 9:29 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152025 and 375?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19906992 to 4 dps.\nAnswer: -0.1991","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 0. Let u = -2013 + 2014. Which is the nearest to l? (a) -0.3 (b) u (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 p when two letters picked without replacement from ttttptpttptttp.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -299034, -299021, -299008, -298995, -298982?\n\"Answer: 13*k - 299047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 263227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4899, -2 in increasing order.\nAnswer: -2, 2, 4899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 12083437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 10:30 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79431544 is divided by 125882.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1465 + 30?\nAnswer: 1495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(392)*-3)\/(-3*(sqrt(48)*-2)\/sqrt(12)).\nAnswer: -7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 6760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(520)\/(-2*sqrt(90)) + 4 + -3.\nAnswer: -sqrt(13)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3571879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 + -80. Suppose 15*z - j*z = 60. Solve z*s + 14 = 2*d, d = 2*s + 2 + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.60628 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 114\/10 + 6\/(-15). Let b = q - 7. Suppose 5*u - 41 = -4*y, -5*y + y + 40 = b*u. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*m - m - 1004 = 0, -3 = -m. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -2*i**5\/5 - i**4\/6 + 3*i. What is the third derivative of t(s) wrt s?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.02 - 1.01992. Round z to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 22*r**2 + 113*r - 19. Let v(m) = 8*m**2 + 37*m - 6. Let p(o) = -17*v(o) + 6*w(o). Factor p(s).\nAnswer: -(s - 12)*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 5*c - 45. Calculate the common denominator of (33\/c)\/(6\/39) and (171\/486)\/((-2)\/(-6)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -764560 divided by 1006?\nAnswer: -760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2103200 (base 4) in base 12?\nAnswer: -5568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2\/13))**(-4\/23)*(i**(-11)\/i)**(-21) assuming i is positive.\nAnswer: i**(75288\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6931\/18 - -3470\/9. Suppose -q + 5*q = 4. What is the closest to z in q, 0.1, -10\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -111, -264, -489, -792?\nAnswer: -1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (-4 - 92\/(-4)). Suppose -4*z = -u, x + 2*z - 2 = 5*x. Let t(k) = 2*k**3 + 2*k**2 - 4*k + 2. What is t(x)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o = 5*w - 238, -w + 756 = 3*o. Suppose 3*z - i - o = 0, -3*z + 2*i + 237 = 5*i. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30.968041 - -29.4880281. Let u = -67.48 - -66. Let g = u - n. What is g rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*c**3 - 26*c**3 + 20*c**3)*(-2 + 2 + 1)*(3412 - 3412 + 33*c).\nAnswer: 528*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 167 - 164. Suppose 5*q - t*q = 4*q. Let b(p) = p + 13. Determine b(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-8) + 1\/4. Suppose g = 5*p - 5. Let l be 7*-2*2\/(-4). Solve -2*y + l = -p for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*z + 20, 6*k + 35 = 3*z + 10*k. Let p be -5 + z\/(-3)*-6. Suppose -5 = -2*x + 5. Solve 0*c - p = -x*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**2)*r)\/(r*r\/r**(-4\/3)))\/((r\/(r\/(r*r**6)))\/(r*r**(7\/4))) assuming r is positive.\nAnswer: r**(-103\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7*v - 5. Let s be r(-7). Let a be (-1*(-45)\/(-10))\/(1\/6). Let i = s + a. Calculate the highest common divisor of i and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x**3 + x. Let j be g(-1). Let k(f) be the third derivative of f**5\/60 + f**4\/6 - 7*f**3\/6 + 15*f**2. Let p be k(j). Solve 6*v - v + p = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544138 is divided by 136030.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 13 = z, -z + 2 = 3*c + 4. Let x = z + -9. Let d be x - ((-8 - -3) + 0). Solve o - 4 + d = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84914.09l to millilitres.\nAnswer: 84914090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(2\/7)\/p)\/p)\/p)**(-18)\/(p\/(p**(-2\/21)\/p)*p**(2\/19)) assuming p is positive.\nAnswer: p**(18616\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 3:22 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2950*a**4 + 22*a**3 + 12*a + 24879. Let c(n) = 590*n**4 - 4*n**3 - 2*n - 4976. Let v(m) = -11*c(m) - 2*d(m). What is the derivative of v(s) wrt s?\nAnswer: -2360*s**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24302264, 48604526, 72906788, 97209050, 121511312?\nAnswer: 145813574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (68\/1530)\/(4*3\/(-18))\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w + 5. Let i(k) = -169*k. What is u(i(b))?\nAnswer: 676*b + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d**2 - 4*d**2 - 1 - 11*d + 10*d. Let v(k) = 2*k**2 + 4*k + 6. Let r = 7642 + -7648. Calculate r*j(o) - v(o).\nAnswer: 4*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5106*n + 88657 = 471653 - 46 for n.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4 + 1 - 3*a + 5*a**2 - a**3 + 4*a. Let i be t(5). Let j(w) = -w**3 + 2*w**2 + 7*w - 6. Let h be j(3). Sort i, -4, h in increasing order.\nAnswer: -4, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 462 - 333. Let b be ((-8)\/(-10))\/(r\/15). What is the third biggest value in -4, b, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41199\/14 - -2937. Calculate the common denominator of 73\/244 and v.\nAnswer: 1708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7264277041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -t - 0*t. Let s(f) = -f**3 - 2*f**2 - 6*f + 3. Let j(u) = -u**3 - 3*u**2 - 7*u + 4. Let c(g) = 5*j(g) - 6*s(g). Let b be c(2). Are b and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -203, -3, -3\/4, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 2*f - 28 = 4*y, 4*y - f + 22 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -2\/3 (c) 2 (d) -55 (e) -0.0698507\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 0*f + 0*f)*(3 + 1 - 2) + 4*f - 2*f + 0*f - 55*f + 149*f + 142*f.\nAnswer: 242*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 19*k + 2. Let s(f) = -180*f - 19. Let l(h) = 57*n(h) + 6*s(h). Let v(j) = 2894*j**2 + 2*j + 2. Calculate v(l(y)).\nAnswer: 26046*y**2 + 6*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 185*s - 743. Let c be a(4). Sort c, 29, -0.4 in ascending order.\nAnswer: c, -0.4, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 425373.\nAnswer: -425363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 447*o + 432*o - 861*o in the form n*o + q and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 5 + 3 + (-2 - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-12)*2)\/(-1))\/((-10227)\/(-5844))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/20)\/(2\/10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 388571856 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-13))\/y)\/((y*y**(1\/30))\/y)*(y\/(y*y**(2\/9)))\/(y*y**(-4\/9)*y) assuming y is positive.\nAnswer: y**(1007\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -31. Let t = l + 37. Suppose -c - 2*g - 5 = 0, 3*c = -4*g - t - 2. Sort -4, c, -2.\nAnswer: -4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in -1\/6, 2, 1, 33, 0.6?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -40*k**2 + 324*k + 1. Let v(c) = 2*c. Calculate v(g(d)).\nAnswer: -80*d**2 + 648*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h**4 - 2*h**4 - 8*h**3 - 2 - 2*h**4 - 2*h - 2*h**4 as d + f*h**3 + j*h + i*h**2 + m*h**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 - -49. Let v be (-9)\/w - 2*(-2)\/(-8). Let f be 2\/(v\/(-3))*(-46)\/(-207). Which is the third smallest value? (a) -1.8 (b) -2\/11 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 710473788 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16558668 and 0.3.\nAnswer: 4967600.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*y - 6, -n - 3*y + 3 = -4*y. Suppose 0 = 2*q - n*j - 13, 6 = 4*q + j + 1. What are the prime factors of q - 1 - 2*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 14*o**3 - 239*o**2 + 17*o + 28. Determine y(17).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-44)\/7) + (-9)\/((-126)\/1508).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jcjjjccjt. Give prob of picking 1 c and 1 j.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 12, 33, 52, 63, 60?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14355500 rounded to the nearest 100000?\nAnswer: -14400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2094.8 + -2372. Let m = -302 - n. Let t = m - -25. Which is the closest to t? (a) 2 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16 - 15)*(-7 - -2). Let j(a) = a**3 + 5*a**2 - 3*a - 2. Give j(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282704 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43*a**3 - 388*a**2 - 937*a + 22.\nAnswer: (a - 11)*(a + 2)*(43*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v - g = -8, -56 - 11 - 40 = -v - 6*g - 2 - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q - 264 = -174 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 0)*(1 + 0 + 0)*(-3*q - 2*q + 0*q + q + 0*q + 0*q + (-2 - 5 + 5)*(3 - 3 + 2*q)) to m*q + z and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - (-16)\/6)*-15. Solve -4*j + j - 16 = 4*x, 4*j = 5*x + v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*k**4 - 60*k**4 - 43*k**4)*(2 + 2 + 12)*(-5 + 3 + 0).\nAnswer: 2496*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/8, -2\/447, 0.1.\nAnswer: -1\/8, -2\/447, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/2 (b) 2 (c) 0.2 (d) -13\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -140 - -155. Calculate the remainder when 47 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1 = 7. Suppose -y*a = a - 20. Let l = 19917 + -19915. Is l equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cppvpsvvpvvpppvpcss. What is prob of sequence vpsv?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k + 9 = 0. Let n be -142*k\/(-9) + 2. Let y = n + 46. Is y less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2199530.6818 and 1.867.\nAnswer: -2199528.8148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 213580 to the nearest 1000.\nAnswer: 214000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -22462, -22483, -22516, -22561?\n\"Answer: -6*u**2 - 3*u - 22453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -838 + 838.00000409. What is z rounded to 7 decimal places?\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4112203 (base 11) in base 4?\nAnswer: -123231221023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1522011 - 1.66\nAnswer: -1522012.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 3*s + s. Let v = 58 - s. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2 + 6 = 0. Let j be 7 - 11 - (-3 + 7\/(-5)). Which is smaller: j or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 0)*7\/3. Suppose -3*z + 1 = -2*l - n, -2*l = z. Suppose -z*h + j + 5 = 0, -5*j - 3 = -3*h - 6. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 8*n**2 - n - 5. Let k be r(-8). What is the third derivative of c**5 + 3*c**4 + 3*c**2 - 4*c**5 - k*c**4 wrt c?\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 6*2*sqrt(1700) + -4)*-4*1.\nAnswer: -480*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55296, -110589, -165882, -221175, -276468, -331761?\nAnswer: -387054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 172 + -92. Let h(c) = -c**2 - 23*c - 15. What is the remainder when i is divided by h(-21)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8792 is divided by 268?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 9, 0.4, 3\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.02 (c) 1 (d) -57 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -266, 5, -13, -4, -23, 4 in ascending order.\nAnswer: -266, -23, -13, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 20, -8\/7 in descending order.\nAnswer: 20, -0.2, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*t - 7*a - 27, 5*t - 2*a - 36 = 0. Let i(w) = 5*w + 7. Suppose -2*j = 4 - 32. Let f(n) = -2*n - 3. Determine j*f(h) + t*i(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 22176.803 to the nearest one hundred.\nAnswer: 22200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-87)\/(-2523))\/(2\/4).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.404, 9\/47 in descending order.\nAnswer: 0.404, 9\/47, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332*i + 338*i - 671*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 2 + 0*g**2 + 1\/3*g**3 + 0*g. Let u(a) = -6*a. Let i(q) = 10*q. Let r(d) = -2*i(d) - 3*u(d). Give v(r(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -2973.\nAnswer: 17838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 23. Calculate the smallest common multiple of 7 and x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 7*r + 6. Suppose -r = -k - k. Solve 3*n + 9 = -4*g, 0 = 4*n - 2*n + k*g + 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4\/3 + 104*g**3 + 2449*g**2\/3 + 1726*g + 3040\/3 = 0. Calculate g.\nAnswer: -304, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -404, 4, 18, 2, 14, -4.\nAnswer: -404, -4, 2, 4, 14, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1938423?\nAnswer: 3, 79, 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73 + -43. Calculate the remainder when j is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.8 - -1.7018. Let m = -71.0682 - v. Let l = -71 - m. Which is the closest to 2\/7? (a) 4 (b) -0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57 + 6*m + 45 - 128 to q + h*m and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x. Let a = -82 + 115. Let f = a + -22. Calculate the lowest common multiple of f and n(5).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (-3 + 7)) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -210236 - -210236.2. Let f = -3 + 2.5. Which is the closest to -0.2? (a) -1 (b) f (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 12 = 0, -3*j = -2*j + 3*a - 27. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62824?\nAnswer: 2, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**6\/u)**38\/(u**4*u*u\/(u**13\/u*u)) assuming u is positive.\nAnswer: u**235","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 66134017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 40 + 40)*(-8 - 3*d + 8)*(-d - d + d).\nAnswer: 183*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11\/4 + 69\/28. What is the nearest to 1 in 2\/7, b, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**3 - j**2 - 3*j - 1. Let q(d) = 13*d**3 + 3*d**2 + 10*d + 3. Determine 2*q(s) + 7*t(s).\nAnswer: -2*s**3 - s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3085 bigger than -3074?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/5 + 27*u**2\/5 - 69*u\/5 + 9.\nAnswer: -3*(u - 5)*(u - 3)*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.18 - 11.82. Let m = 12 + j. Suppose i + 2*c = -5, -6*i + 2*i = -3*c - 13. What is the nearest to m in 0, i, -2\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 10\/7 (b) -46\/9 (c) -0.1 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/22, 0.4, 101, 1139?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5. Let o(v) = v - 20. Let b(h) = -9*j(h) + 2*o(h). Differentiate b(c) with respect to c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 15*x + 32. Determine n(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + sqrt(72)*-1 + sqrt(72) - (sqrt(72) + (sqrt(72) - (sqrt(72) + 0 + sqrt(72))) + -2)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeppl. What is prob of picking 1 l and 2 e?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + 4\/(-2))*7. Suppose 2*g = -1 + m. Suppose -17 = -c + g*y, 2*c + y = 2*y + 34. What are the prime factors of c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 524*g - 18354. Calculate f(35).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*p + 1 = 0, -3 - 2 = -p. Let f(l) be the first derivative of l**3\/3 + 4*l - 4. Calculate the remainder when f(4) is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44721160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -10*y**2 + 25*y - 3. Let d be p(2). Suppose -133 = -d*g - 12*g. Solve 0 = 3*v - 5 - g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 + 0.3999979. Round o to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/6, 0.4, -0.05, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = w + 3*a, -3*w - 41 = 5*a + 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1085.0351 + 8.\nAnswer: 1093.0351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*d**2 + 2 - 1 - 8*d**2 - 2*d**2 + 0 + 0 + (5*d - d - 3*d)*(-d + 0*d + 3*d) + d**2 + 0*d**2 + d**2 + 0 + 0 + d**2 + d - d - 4*d**2.\nAnswer: -2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-5 + 0 + 3)*(7 + 19 + 1)*(-m + 2*m - 2*m)*(2 + 3*m + m**2 - 3*m).\nAnswer: -54*m**3 - 108*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46682280 and 310?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21489084 divided by -3772?\nAnswer: 5697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/13 - -46\/65. Which is the closest to 0.3? (a) o (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 132 + -94. Let b = k - 35. What is the least common multiple of 11 and b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -301 and 683.1?\nAnswer: 984.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4, -15, -42, -91, -168?\n\"Answer: -y**3 - 2*y**2 + 2*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 246, 262, 286, 324, 382?\n\"Answer: p**3 - 2*p**2 + 15*p + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*z + 14, 4*z = 5*m + z - 10. Which is greater: 1\/6 or m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222 + 5914*s + 114 + 108 - 2954*s - 2954*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27729 or -55459\/2?\nAnswer: -55459\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 110 - 108. Let q(k) = 2*k - 2. Let t(d) = d**2 + 3*d - 5. Calculate m*t(v) - 5*q(v).\nAnswer: 2*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(7\/5)*m)\/(m**(-5)\/m)*m\/(m\/(m*m\/(m*m*m**1)*m))*m**(1\/12)*m)\/((m\/(m*m*m**(-4\/9)*m*m))\/m**8)**(-41) assuming m is positive.\nAnswer: m**(-76193\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + -2)\/(-3) - 114\/105. What is the second biggest value in 3, g, 5, 0.4, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -17*x + 34. Let n(v) = -18*v + 34. Let y(d) = 3*i(d) - 4*n(d). What is the derivative of y(u) wrt u?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 0*k = -g, -3*g = 2*k - 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6982 + -2554. Is q a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3466539?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.471 + -0.011. Let c = f + -0.33. Which is smaller: c or 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 1\/2*j**2 - 1\/2*j**4 - 1\/3*j**3 + 33*j + 0. Determine i(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2911104598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7617.926424 - -7618. Round i to 3 dps.\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -620, -404, -188?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2165*d = -967*d - 909*d - 8670 for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -86 + -241407?\nAnswer: -241493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 6:12 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.326 + -1.664. Let a = 2 + x. Let r = a + -0.14. What is r rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*f = -l + 33*f - 2 + 2, -l - 4*f + 8 = -9*f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8573?\nAnswer: 8573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 127363904*i**6 - 6775*i**2 - 1526*i wrt i?\nAnswer: 15283668480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 127 = -0*z - 31*z, -6 = 2*c + 2*z + 28 + 4 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/37701666 and -173\/263911662.\nAnswer: 263911662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 - 2*o**2 - o + 1. Let k be d(2). Suppose 2*l - 5*f = 25, 0*f = 4*l + 5*f + 25. Let u = k + l. Calculate the remainder when 20 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = o - 66, g + o - 11 = -3*o. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 7*d = -22*d, -5*k - d + 2*d = 79 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 94 + -65 + -31 + -2 + -11?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2. Let r(u) be the first derivative of 181*u**3\/3 - 52. What is r(l(x))?\nAnswer: 724*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/57 (b) -7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (477\/371)\/(13\/91)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 606, 1208, 1810, 2412, 3014, 3616?\n\"Answer: 602*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(-20)*5\/(-2). Let x(a) = a**3 + 4*a**2 + 3*a + 1. Determine x(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5\/2)\/(s*s**(-4)*s))\/(s*s**12*s*s\/(s**(2\/17)\/s)) assuming s is positive.\nAnswer: s**(-557\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1\/((l*l**(-1)\/l)\/l)*(l\/l**(-3))**(4\/11))**17 assuming l is positive.\nAnswer: l**(833\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.7*36.\nAnswer: -133.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-104)\/(-130) - 21\/(-5)) + -3. Factor -98\/3*v**4 + 64\/3 - 20\/3*v**j + 343\/3*v**5 + 208\/3*v - 497\/3*v**3.\nAnswer: (v - 1)**2*(7*v + 4)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2514 - 1435?\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 29.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - l + 1. Let u(q) = 2*q + 12. Let v(p) = -6*j(p) - 3*u(p). Find the first derivative of v(a) wrt a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 855.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53462093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006773812 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1732 and 956?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -435.13 to zero dps.\nAnswer: -435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 + -1 - (2 + -1) and 27 - (-4)\/((-12)\/9).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, d: 5, o: 4, f: 1, l: 3, g: 1}. What is prob of sequence gd?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 56, -11, 2, -0.2 in decreasing order.\nAnswer: 56, 2, -2\/13, -0.2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d + 13. Let u be p(-3). Let m(q) = 18*q**3 - 2*q + 2. What are the prime factors of m(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-213)\/6*(-4 - 1 - -1)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 - 2*h**3 + 4*h**3 + (-h + 0*h + 3*h)*(2 + h**2 - 2))*(1620 - 1615 + 989).\nAnswer: 994*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j**3 + 8*j**2 - 9*j - 3. Let u(i) = -13*i**3 - 25*i**2 + 29*i + 10. Calculate -7*m(g) - 2*u(g).\nAnswer: -2*g**3 - 6*g**2 + 5*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-130)*2)\/(2075\/(-50) + 38)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, i: 2, f: 1, h: 1}. Give prob of sequence ii.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 53636987?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6749774 months in millennia?\nAnswer: 0.00013958145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 115 (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27258 + -27250. Solve 2582*a = 2580*a + s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2965 divided by 593?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 474.7 - 475. What is the closest to 0.1 in j, 26, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001018061 to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 183 and 84?\nAnswer: 5124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 2*b + 14. Let i = 10 + b. Suppose i*a = 2*a. Solve 0 = -2*v, a = -z - 0*v - v - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 32, 36, 50, 80, 132?\n\"Answer: i**3 - i**2 + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 1) + -1 - (1 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, f: 5}. What is prob of picking 1 b and 2 f?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-1) + 5 - 1. Suppose -5 - 10 = -5*d. Solve q = -4*l - 13, 5*c - 13 = -d*l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10097023.1 to the nearest ten thousand.\nAnswer: -10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 7873404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 18*q.\nAnswer: -3*q*(q - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 - 61*a**2 - 31*a + 63. Let r be i(-30). Calculate the highest common factor of r and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 408\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6992 by -152.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 101363531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**6*q + 501*h**3*q**2 + 133*h**2*q + 2*q**2 wrt h.\nAnswer: 240*h**3*q + 3006*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1263676385 to the nearest integer?\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -19.099 and -0.077.\nAnswer: -19.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 3*a - 10 = 5*s, -a + 7 = 4*s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2037971km in meters?\nAnswer: 203.7971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -434 by 3.\nAnswer: -434\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-467.914\nAnswer: -187.1656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 19\/6, 1\/329, -560.\nAnswer: -560, 1\/329, 2\/5, 19\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**5 + 21*v**4 + 723*v**3 + 3219*v**2 + 2520*v = 0.\nAnswer: -8, -5, -1, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g. Let w be j(-2). Suppose 8 = o - w. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqa when three letters picked without replacement from {p: 2, x: 3, h: 1, q: 3, a: 1, r: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-160)*-4 + 4\/8 - 495\/1100?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22946, 58737, 107370, 168845, 243162, 330321, 430322?\nAnswer: 543165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - 2 - ((10 - 18) + -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1596, -7640, -22580, -50868, -96956, -165296?\nAnswer: -260340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + 2 + 0 - 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r = 12*r + 15. Suppose -7*c + 10 = -2*c, -5*i = -r*c - 54. Solve -4*n = -5*v + i, 3*v - 1 = 3*n + 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ndv when three letters picked without replacement from dsndnjvcj?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 95690650.\nAnswer: 95690650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 + (3 - 6 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -12*k**2 + 58*k - 390. Let g(i) = -9*i**2 + 59*i - 390. Let j(v) = -4*b(v) + 5*g(v). Factor j(p).\nAnswer: 3*(p - 5)*(p + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 15*k**3 - 17*k**2 + 70*k + 17. Let t(m) = -5*m**3 + 6*m**2 - 23*m - 6. Let i(r) = 6*l(r) + 17*t(r). Find the second derivative of i(v) wrt v.\nAnswer: 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40072 divided by -4\nAnswer: 10018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14145.\nAnswer: 3, 5, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 3*l + 43 + 67 = 0, 11*t = -32*t + 2*l - 125 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + -15. Let s = 38 + f. What is the greatest common divisor of 45 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2, -1, 2, -51\/98?\nAnswer: -51\/98","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -247*t - 22. Let f(m) = 62*m + 5. Determine 18*f(p) + 4*k(p).\nAnswer: 128*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 23*c**2 + 782*c - 12724. What is u(11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**5\/12 + 175*l**4\/2 - 119*l**2 + 4*l + 2. Factor k(h).\nAnswer: 5*h*(h + 420)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.033 (b) 1.64 (c) -5\/9 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 11:17 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millimeter in micrometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-seven quarters of a week?\nAnswer: 68040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/22)\/((-1413)\/5181))\/(3\/(-57)*1).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 10) to base 11.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(56) + sqrt(56)*-3)*2)\/(-5*1*sqrt(8) - (sqrt(968) - 2*sqrt(968))).\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s**3 + 2*s**3 + 9*s**3.\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 148*i**2 - i + 2. Let d(c) be the third derivative of c**5\/30 - 1036*c**2. Calculate a(d(h)).\nAnswer: 592*h**4 - 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 77004340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 10 - 10 + 21 - 16*u)*(-34*u**2 - 28*u**2 + 57*u**2)*(-3 + 4 + 3).\nAnswer: 320*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5907?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooo. What is prob of picking 4 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 7*j**3 + 4*j**2 - 6*j - 2. Determine k(-2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 582\/114 - 16\/152?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-483)\/(-6)*12 + 10\/(-5). What is the greatest common divisor of u and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-8) + 14\/(-40).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k + 1. Let m be y(1). Let j be (-51)\/(-10) - 1\/10. Let l = m + j. Solve -i - l = 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5274887 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5028, -5551, -6144, -6807, -7540?\n\"Answer: -35*y**2 - 418*y - 4575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 194738126 to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4007775.\nAnswer: 3, 5, 53437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*i - 1\/6*i**4 + 0 + 37\/6*i**3 - 6*i**2.\nAnswer: -i**2*(i - 36)*(i - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6340541 - 6340091 = -6*p for p.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 + 3*u**2 + 7*u - 1. Let p(r) = 2*r**2 + 1. Let y be p(2). Let z(h) = h**3 + 2*h**2 + 3*h - 1. Let c(v) = y*z(v) - 4*l(v). Give c(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 358 + -214. Calculate the greatest common divisor of 18 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 11*h**2 - 11*h - 8. Let n be i(12). Solve y - 3 = -3*y + s, n*y = -4*s + 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*u = -2907, 2*a + 3*a - 4*u + 3626 = 0. Let j = a + 1357. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -396 divided by -33.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 159*y + 26. Let a be q(6). Let f = -654 + a. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 2*z + 1. Let y be t(2). Suppose 11*l - 7*l - 12 = 0. Sort -1, l, 5, y in increasing order.\nAnswer: y, -1, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 8 = 5*n. Let t be 28*(n - -1)*-1. Solve -5*i = 8 - t for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -524888590 rounded to the nearest 1000000?\nAnswer: -525000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1\/2, -5, -19858.92, -1, 0.4, 1, 2?\nAnswer: -19858.92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x + 5. Let w(g) = 7*g - 14. Let u(l) = -3*w(l) - 8*y(l). Let j(t) = t - 1. Calculate 3*j(c) + u(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023 + -0.0142?\nAnswer: -0.0372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17205287 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*y + 3 - 38*y - 3 - 68*y + 79*y**2.\nAnswer: 79*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43335, -43340, -43367, -43428, -43535, -43700, -43935?\nAnswer: -44252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z**2 - 7*z. Let a be ((-8)\/(-40))\/((10\/(-2))\/(-100)). Let l(r) = -2*r**2 + 3*r. Determine a*q(t) + 9*l(t).\nAnswer: 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 298 * -1.\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1198?\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2194*a**3 - 3*a**2 + 21 wrt a.\nAnswer: -13164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 z when two letters picked without replacement from fzzfzdzwfw.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*u - 2*u. What is the remainder when u is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -116*k**3*l**3 + 108*k**3*l**2 + 12*k**3*l + 11*k**2*l**2 + l**3 - 4*l**2 - 527*l + 2 wrt k?\nAnswer: -696*l**3 + 648*l**2 + 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*x + 4*x - 1872. What is the remainder when x is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94 - 67. Let t(v) = 72978*v**2 - 38*v + 64. Let r be t(l). What is r rounded to the nearest 1000000?\nAnswer: 53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3455.593 meters in kilometers?\nAnswer: 3.455593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2552, 5105, 7658, 10211, 12764, 15317?\nAnswer: 17870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25381*t**2 + 5*t**3 + 2 - 6*t - 6*t**3 + 3*t + 3440*t**2.\nAnswer: -t**3 - 21941*t**2 - 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**4 - 2*x**3 + 2*x**2 - 81*x - 692. Let q(m) = -2*m**4 - m**3 + m**2 + 5*m + 2. Let a(t) = c(t) - 2*q(t). Differentiate a(s) with respect to s.\nAnswer: 20*s**3 - 91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 + 8*j**3 + 8*j**3)*(-1 - 2 + 5 + (0 - 2 + 1)*(0 - 3 + 2))*(1 + 2 - 1).\nAnswer: 96*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -12. Suppose 3*i - 11 = y - 2*y, -5*y = -p*i - 115. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-6)*(n**(-4)\/n)\/n*(n\/(n*n\/(n*n**(-1\/2)*n)*n*n)*n)**15*(n**(1\/3)*n**(-2\/9)*n)**(-4\/35) assuming n is positive.\nAnswer: n**(-2473\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/8 - 45*a**2\/8 - 339*a\/4 - 225.\nAnswer: 3*(a - 25)*(a + 4)*(a + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - 5421\/(-180) - (-9)\/(-45))*(-6)\/(-20)?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2 + b - 129*b**2 - 5.\nAnswer: -129*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15800 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: Suppose -5*g = -g + 20. Let z = 4 + g. Let p be (z - 0)\/((-5)\/10). Solve 0 = 3*d + 2*u + 12, 3*d - u + p*u + 12 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -570585 (base 10) to base 14\nAnswer: -10bd21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 7*v + 11. Let i be g(-6). What is j in -21*j + 245*j**2 - 35*j + i - 14*j = 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 12 = 0, 3*a + a - 2*m = 16. Let h(y) = 15*y + 4. Let j be h(a). Suppose 5*w - c + 0*c = j, 3*w = 5*c + 52. List the prime factors of w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + 3*l**2 - 5*l**3 + 3*l**2)*(-37 + 8*l + 37 - 4*l + 0*l + l + (-5 + 2 + 1)*(3*l - 2*l + l) + 3*l - l + 0*l + l - 2*l - l).\nAnswer: -5*l**4 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -337374 smaller than -337045?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, 196, 482, 840, 1270, 1772?\nAnswer: 2346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (4 - (0 + -2 + 4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2133336 != 2133347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -7*b - 77. Let s be t(-11). What is the second smallest value in s, 40, -0.05?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 0. Suppose 4 = -w + 9. What is the third smallest value in 2, f, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101100 - -100?\nAnswer: 1110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1))**(-20)\/((g*g**0)\/g**4))**42 assuming g is positive.\nAnswer: g**966","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + 11*m**3 - m**3)*(312*m**2 - 5 + 161*m**2 + 9 - 4).\nAnswer: 4257*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.169 - 0.037. Let z = 129.7 + -129.706. Let g = a - z. Sort 1, g, 0.2 in increasing order.\nAnswer: g, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3e91 + -3e?\nAnswer: 3e52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -467 or -468?\nAnswer: -468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {w: 1, o: 3, s: 4}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/345872 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 4*l, -5*r + l - 14 = 3*l. Let u be (-2)\/(-8) + 1\/r. Solve u = -4*g + 3*g - x + 6, -2*g + 5*x = 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*q = 57*q + 2844. Suppose -q = m - 322. Solve -z + m = 1, 0 = -5*t + 4*z + 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + 7*x**3 - 3*x**3)*(1 - 5 + 2) - 4*x**3 + x**3 + x**3 - 3*x**3 + 2*x**2 + 2*x**3 + x + x.\nAnswer: -9*x**3 + 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 35, 47, 59?\n\"Answer: 12*o + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 66*v = 70*v + 1197101, 2*z = 3*v + 478846. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -7714*q + 6. Let r be a(-1). Round r to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (7 - 7) + 0 - -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 4*q + 4. Let w = 40 + -30. Suppose -2*c - 15 = 2*c - 3*t, -w = -5*c - 2*t. Is i(c) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbmkbk. What is prob of picking 1 m, 1 q, and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.041 (b) -2 (c) 0 (d) 2\/5 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 1. Let m = 13231 + -13230. Let o(i) = -6*i**2 + 2*i - 2. Determine m*o(j) + 2*f(j).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**4 - z**4 - 2*z**4)*(0*z - 2*z + 0*z) - 705*z**3 + 705*z**3 + 129*z**5.\nAnswer: 135*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 52*s + 14*s + 146 - 148 + (-s - 3*s + 5*s)*(0 - 3 + 2).\nAnswer: 65*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 11504.\nAnswer: -3\/11504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3\/7 - 808*h**2\/7 + 270976*h\/7 + 56407552\/7.\nAnswer: -4*(h - 262)*(h + 232)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 0*w + 2*w)*(-1 + 1 - 2)*(2 + 1 - 1)*(5 + 3 + 5).\nAnswer: 104*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.25 - 1.15. Let q = 18 - 13. Let g = -0.55 + 0.05. What is the nearest to -1 in q, h, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-16 - -36 - 29)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3857291 a multiple of 1174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 5*j**2 - 3*j**2 - 2*j**2 + 7*j**2 - 3*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13073 plus -0.289734676?\nAnswer: -0.420464676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 801 = v + 5*l, -4*v + l - 314 = -3518. What are the prime factors of v?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9259\/378 + -1\/189. Let r = -24 - u. Let i = 12183 + -12181. Which is bigger: i or r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/57)\/p*p**11*(p\/p**(-2\/5)*p)\/(p\/(p*p\/p**(2\/27)*p*p)) assuming p is positive.\nAnswer: p**(39221\/2565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.359 rounded to two decimal places?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23105093?\nAnswer: 11, 2100463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 48*a**2 - 230*a**2 + 10 - 75*a**2.\nAnswer: -257*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3577 a factor of 327700481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -639685 divided by 5?\nAnswer: -127937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 609 + 4440 = -561*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.4 * -0.35.\nAnswer: 7.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t - 2*t + 0*t)*(-2*t**2 + 3*t**2 + t**2) - 1 + 1 + 3*t**3 + (-4*t + t + t)*(-t**2 + 2*t**2 + t**2).\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 9. Let c be h(-9). Let i = 4 + -4.2. Let f = i - 0. Put -5, f, c in decreasing order.\nAnswer: c, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/5 and -3\/8488.\nAnswer: 42440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13165 - 13169. Suppose x - 1 = -3. Which is the third biggest value? (a) h (b) x (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 6. Let z be 66\/15 - 4\/10. Suppose 5*r - 5*u = 20, -3*r = -z*u - u - 6. What is the remainder when b is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 5759.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 170, 597, 1316, 2333, 3654, 5285, 7232, 9501?\n\"Answer: x**3 + 140*x**2 + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxdpxdxjdp. Give prob of sequence pdpd.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1967010*c**3 + 961349*c?\nAnswer: -11802060*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183965?\nAnswer: 5, 36793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2796 divided by -932?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -2 (b) -8.4 (c) 2 (d) 0.1 (e) -77\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 2*y - 109. Suppose 24*d - 29*d = 4*m + 20, 0 = -5*d + 4*m + 20. Give k(d).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.01798 greater than 16085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**3 + 2601*c**4 + 2602*c**4 - 3 - 7799*c**4 + c + 2597*c**4 + 2*c**2 to the form f*c**3 + p + v*c**4 + q*c + i*c**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.391922 to two decimal places.\nAnswer: 2.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*z - 72*z + 2*z**2 - 78*z.\nAnswer: 2*z**2 - 113*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 5*f - 16*f)*(-f + 4*f - 4*f) + (-3*f + 2*f + 2*f)*(2*f + 3*f - 3*f) - 2*f**2 + 2*f**2 - f**2.\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + (sqrt(504)*4 + sqrt(504))\/sqrt(8) + sqrt(63) + (sqrt(378)*3 + sqrt(378))\/sqrt(6))\/(sqrt(1089)*-2*-5*-1).\nAnswer: -sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2533241060?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/(q\/q**(2\/7)))))\/(q\/(q*q**(-2)*q)*q)*q**(-2)*q*q*q*q\/(q*q**(-10)))**4 assuming q is positive.\nAnswer: q**(260\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43328, -86645, -129962, -173279, -216596?\nAnswer: -259913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 14. Suppose -2*h - 341 = -3*k - 6*h, -b*k - 4*h + 571 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 15*a**2 + 2*a. Let v(h) = -2*h**2 + 0 + 2 - 2. What is v(z(y))?\nAnswer: -450*y**4 - 120*y**3 - 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/((k*k\/(k**(-3)\/k)*k*k)\/k)*k)*k)\/(k\/(k**(-7)*k)))\/((k**(-2\/7)\/k)\/k*k**2) assuming k is positive.\nAnswer: k**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51344535 + -224?\nAnswer: -51345203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 7*m + 10. Let c be z(-6). Suppose j = -o - 2*j, -4*o + c*j = -48. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -66464452\nAnswer: -9\/66464452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 28752664*f. Let i(y) = y. Give i(b(s)).\nAnswer: 28752664*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 889\/(147*41\/861)?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6\/72*120\/20*(-8)\/3\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -474 + 485. Let z be -13 + p - -31*3. What is the highest common divisor of z and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 22, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**3 - 10*w**2 + 187*w - 144. Let p(k) = -k**3 + 3*k**2 - 52*k + 41. Determine -18*p(t) - 5*s(t).\nAnswer: 3*t**3 - 4*t**2 + t - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/((-67)\/(1876\/(-168))))\/(-14)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxxxtxxxxqxxstsqxxq. What is prob of sequence xqqs?\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 11*x**2 + 11*x - 8. Let j be v(10). Let p be -4 + -2 + 2\/j. Sort 2, -2, p in ascending order.\nAnswer: p, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1030*f*r**2 + 48*f*r + 25*f - 4806*r**2 - 121*r - 3 wrt r?\nAnswer: 2060*f - 9612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-32)\/18 + (-24)\/(-12). Let t be (-2)\/(-5) + 1 + -2. Let f = 186\/7 - 188\/7. Which is the fourth smallest value? (a) n (b) -1 (c) f (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -9*d - 16. Let t(l) = -2*l + 2. Calculate -b(w) + 6*t(w).\nAnswer: -3*w + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*k + 106*k + 948 = 3828. Suppose -2*u = -4*j - 22, -u = -0*j + 2*j - 15. Calculate the remainder when k is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 3 = -4*g. Suppose g = 4*j + 5*l - 4, -4*l - 28 = -j. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516*d + 519*d = 5*m - 506, 4*m = -5*d + 390. Solve -124 = 3*o - m for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3*f = 9, -500 + 509 = 5*q + 3*f. Solve -y + 0*y - 7 = x, -x - 5*y - 19 = q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(-2))\/(12 + 33912375\/(-2826030)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7137440.\nAnswer: 2, 5, 31, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235*h + 85076 + 1924 = -177*h. Calculate the highest common factor of 180 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -6. Suppose m - g*m + 16 = 0. Let h(z) = 4*z - 1. Suppose 20 = -7*p - 29. Let y(q) = 2*q - 1. Calculate m*h(j) + p*y(j).\nAnswer: 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 733 - 9*b - 1863 + 4*b + 1130.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -494, -2011, -4554, -8123, -12718, -18339?\n\"Answer: -513*g**2 + 22*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*z - 4 = -3, -3*b + 2*z - 13 = 0. Let y be (-173)\/4 - 8\/(-32). Let n = 9.5 - 11.5. What is the nearest to 1 in n, y, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -826 - -885. Suppose 5*k + 7*g - 3*g = 313, -4*k + 252 = 4*g. Let b = k - 30. What is the remainder when t is divided by b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 9*w**3 - 2*w**2 - 2*w. Let a(q) = -19*q**3 + 5*q**2 + 5*q. Let l be (-63)\/42*(-2)\/(-1) - -5. Calculate l*a(t) + 5*u(t).\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 981813 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2. Let n(v) = 384899*v. Give n(l(j)).\nAnswer: 384899*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/(-4)*(-145)\/((-6670)\/(-368)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 546 + -532. What is the highest common divisor of g and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -20*p + 22*p - 4*i, -4*p + 4*i + 8 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18430404 to the power of 1\/2, to the nearest integer?\nAnswer: 4293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 54?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -32543*r + 210. Let g(m) = -10847*m + 60. Determine 7*g(j) - 2*l(j).\nAnswer: -10843*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*j + 5*n, -3*j + 2*n - 3*n = -29. Suppose -96*x = -89*x - 63. Suppose -x = 7*r - j*r. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 5:30 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -366001 or -366007?\nAnswer: -366001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 102 = -s - 107, -4*s - 17 = 5*n for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1764 - -1116. Let j = d + 675. Solve -5*n + 5*f - j = -2, -17 = 4*n - f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(42\/9)*(-32)\/(-48).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 12*f + 3. Let y be q(-12). Solve -y*z + 1 = -2*w + w, w = -4*z + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(117)*1 + 1*sqrt(117) + 0.\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -736.149 + -0.3.\nAnswer: -736.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3\/((t\/(t*t\/(t**0\/t)))\/t))\/(t**1)**(-6\/7) assuming t is positive.\nAnswer: t**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -219204, -219237, -219270, -219303, -219336, -219369?\nAnswer: -219402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -71*p**2 - 81*p - 50. Let s(x) = 25*x**2 + 28*x + 17. Let m(q) = 17*s(q) + 6*v(q). What is m(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eecc when four letters picked without replacement from ccccceccecccceccecc.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 1:41 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6307988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202830 - 19*h**2 + 406670 - 203840 - h**3.\nAnswer: -h**3 - 19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 9*y + 48 = -6*y, -2*u - 3*y + 33 = 0. Calculate the highest common factor of 10 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5, -7, 13, 67, 167, 325, 553?\n\"Answer: 2*z**3 - z**2 - 13*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -807359 by -26.\nAnswer: 807359\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*x**5 - 576*x**3 - 15942*x.\nAnswer: -80*x**3 - 3456*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 289598162?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u - 5 = 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17461 + 18335. What is the greatest common divisor of 551 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 4*t + 3740, 20*y - 3*t + 3789 = 24*y. Solve -2*l + y - 942 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 1\/5118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in 6, 2\/9, 2\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 1:38 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by ((-9)\/(-6))\/(30\/40).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71.1 - 71. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08 - 0.08. Let y = 2 - -3. Let q = -1.9 + 2. Which is the nearest to q? (a) y (b) h (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47*140\/(-658))\/(2\/(-2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229523 is divided by 5758.\nAnswer: 4961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*w + 6 = 0, 2*w = -2*b + 2 + 2. Suppose -p + 6 - 1 = 0. Solve 3*a - 2*v + 0 = 3, b*a = -p*v + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 13 - (45 + 5 - 70)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1212*c**3*x**2 - 11119*c**3 - 216316149*c*x**2 wrt c?\nAnswer: 7272*c*x**2 - 66714*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 z when two letters picked without replacement from {m: 5, d: 1, s: 2, n: 1, z: 5, w: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**0)**(2\/9)*r\/r**1*r*(r\/r**(2\/13)*r)\/r)**(2\/7))**(-3\/19) assuming r is positive.\nAnswer: r**(-144\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7666 - 5431. Suppose 0 = 55*o - 17620 - i. Calculate the remainder when o is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.5 - 14. Let j = 9.14 + -0.14. Let n = j - s. Which is the third biggest value? (a) -5 (b) 2\/17 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -48176*t**2 - 3153*t + 393805615?\nAnswer: -96352*t - 3153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**3 + 3*n**3 - 5*n**3 + (-3*n**2 + 4*n**2 + 4*n**2)*(2*n - 2*n + n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x**2 + 7*x**2 - x**2.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 389495 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 570 = 4*h, -1216 = 2*g - h - 76. Let m = -565 - g. Solve -2*w - k - m = 0, 6*w - 12 = 3*w + 5*k for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {j: 8, e: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 21\/4, 3\/5, -20, -0.2, 0?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 94254369341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 271 + -27?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00859257524 to four dps.\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (30 - 13) + -11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c. Let d(r) = -1633*r**2. Give m(d(o)).\nAnswer: -1633*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9709 and 535745?\nAnswer: 743078315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177550?\nAnswer: 2, 5, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 326066 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 394 divide 28458692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 26 = 4. Let v(a) be the first derivative of 0*a + 8\/15*a**3 - 4\/15*a**6 + 1\/5*a**2 + 3\/10*a**4 - 1 - 8\/25*a**q. Let v(n) = 0. What is n?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 188*z**3 - 1901*z + 1393. What is the first derivative of u(a) wrt a?\nAnswer: 1128*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/25*(-40)\/12)\/(-18)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeesqqeeqeqqqqsqqq. Give prob of sequence qe.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 3:05 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9211 is divided by 296.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2\/29 (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 887.313 + -888. Let w = z + 0.65. Let s = w + 0.037054. What is s rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**2 + 4*k - 49. Let m be (2 + 20)*1\/(-2). What are the prime factors of f(m)?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*5758.688\nAnswer: 28793.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, q: 6}. What is prob of sequence qc?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -9 - -95 - (-8)\/(-2).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23\/540 - 581\/270. Find the common denominator of j and (12\/(-9) - -2) + (-194)\/(-168).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*q - 22 = 6, -5*u + 5*q = -5. Solve u*m = 7*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 12312623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 5*a + 5. Let y(j) = -3*j**2 - 4*j - 4. Let r(l) = 2*k(l) + 3*y(l). Let q(w) = -4*w**2 - w - 1. Determine -4*q(g) + 3*r(g).\nAnswer: g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 6*z**2 + 6*z + 8. Let b be u(7). Let r be (b - -1 - 2) + (-28 - 5). Let a = r + 99. What are the prime factors of a?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 67, 5, 205, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 8*p**3\/3 + 3*p. Let j(g) = 3*g. What is -11*j(d) + 2*u(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u. Let j(x) = -161*x - 119. Let a(b) = 4*b + 3. Let z(d) = 238*a(d) + 6*j(d). Let k(n) = 70*n. Let s(p) = -3*k(p) - 16*z(p). Calculate s(w(f)).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1535 + -3*30\/(-18)*-1?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**2 + 1 - 1 + (-4*f - 2*f - 3*f)*(-4*f + 3*f - 3*f) + 0*f**2 + f**2 - 2*f**2.\nAnswer: 38*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 17*h - 40. Let d(r) = r**3 + 8*r - 24. What is -5*d(t) + 3*u(t)?\nAnswer: -2*t**3 + 11*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 235619024 to the power of 1\/2, to the nearest integer?\nAnswer: 15350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3 - 1566*v**2 + 48330*v + 167830758 = 0.\nAnswer: -537, 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (3 + -4) - -2 - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -31782.27 to the nearest one thousand.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1842240 and 38380?\nAnswer: 1842240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-85)\/(-180) + 4\/18?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 - 0.4. Suppose -5*o - 322 + 82 = 0. Let r be -3*(3 - o\/(-15)). What is the nearest to -2\/5 in r, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 128783 + -4627.6.\nAnswer: 124155.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 3*i**2 + 18*i + 6. Let r be w(-14). Round r to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (2 - 1) + 14. Suppose 4*j + 2 + m = -3*c, 0 = -3*c + 2*j - 10. List the prime factors of (-134)\/c - (-1)\/2.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 7*m + 28 + 5 + 4*m - 13*m. Let x be o(12). Is 10 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2246*y**2 + 794*y**2 + 827*y**2 + 803*y**2.\nAnswer: 178*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27a60 - 413?\nAnswer: -28273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19961749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 + -56. Let f(u) = -u**3 + 3*u**2 + 3*u + 3. What is f(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 - -43. What is the second derivative of 8*v**2 - 7*v - 9*v + 8*v - i*v wrt v?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -2*v - 16, 0 = -83*v + 81*v + b - 12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from occcocccoo.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 0 + 0*i**5 + 1\/120*i**6 - 1\/105*i**7 + 1\/336*i**8 + 0*i**3 + 0*i + 0*i**4 + 2*i**2. What is x in y(x) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-7))\/b**(-17)*b\/(b*b**(2\/31))*b\/(b**(-1\/6)\/b) assuming b is positive.\nAnswer: b**(2437\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84711)\/69762*(-20)\/34*3.\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 12:52 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 14*d - 36. What is l(-16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -530 (base 8) to base 7.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -14142 != -14386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1516\/1065 + -22\/71. What is the common denominator of p and 53\/45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(-4*w + w**2 + 4*w + (-1 + 1 - 2*w)*(2*w + 0*w + 4*w) - w**2 + 4*w**2 + 0*w**2) + 0*w**2 - w + 2*w + 2*w**2.\nAnswer: -6*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12\/5*c**2 + 3\/5*c + 0 + 18\/5*c**3 - 12\/5*c**4 + 3\/5*c**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1804 by -44.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 52 = -5*x, -2*f - 2*x = -0*x + 44. Let d be 105\/18 + (-1)\/(-6). Is f*((-4)\/(-10))\/(d\/(-5)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10814977795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 9 - -11 - (-14)\/(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 9 = 3. Suppose 12 = 2*r - s, -6*s = k*r - 3*s. Solve 5*h**3 - 6*h**3 + 9*h**2 + 7*h - h + r*h**3 = 0 for h.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence trif when four letters picked without replacement from {r: 1, t: 1, b: 1, f: 1, o: 2, i: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3328)\/(-224))\/((-13)\/((-364)\/16)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z**3 + 3*z + 2. Give p(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-1 - 5) + -2 + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**4\/8 + 3*s**2 - 67*s - 2. Let h(w) = -788*w**2. What is h(r(i))?\nAnswer: -7092*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4 + 2)\/8)\/(-1 + 0). Factor -q*r**3 + 1\/4*r + 0*r**2 + 0.\nAnswer: -r*(r - 1)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -318439*t**3*v - 500689*t**3 + v wrt v?\nAnswer: -318439*t**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -4, -10, 13, -3311, -1 in descending order.\nAnswer: 13, 5, -1, -4, -5, -10, -3311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -8202*t**3 + t**2 + t + 1. Is n(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2563?\nAnswer: 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**2\/2 + 9*r - 2. List the prime factors of m(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -6\/2585 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2548))**2 - ((sqrt(1872) + 1)**2 + sqrt(13)).\nAnswer: -25*sqrt(13) + 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + 0*r**2 - r**2)*(6 + 6 - 4 + (-1 - 1 + 0)*(2 - 2 - 1)).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 140 and 0.03 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17350689, 4, -1 in ascending order.\nAnswer: -1, 4, 17350689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 3. Let n be i(-5). Let p(b) = -b**2 - 7*b - 3. Let f be p(n). Let l be ((-2)\/12)\/(f\/220). Which is greater: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/67 in 5, -3\/5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -0.6, -0.162, 5?\nAnswer: -0.162","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42139 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 3*d + 0 + 6 + 5.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94360, -94368, -94378, -94390?\nAnswer: -94404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122 + 1?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p + 3. Let i(g) = g + 1. Suppose 3*y + 0*y = -3*t, -t = 4*y + 3. Let a(v) = t*d(v) - 3*i(v). Let q(r) = -2*r. What is q(a(o))?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4366 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 821560 to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.01 - 0.01. Let j = 3.2 - 3. Which is the second smallest value? (a) 0.5 (b) r (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120016 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 110011111000000001100 (base 2) to base 6\nAnswer: 100233404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -24*r**3 + r**2 + 3*r + 1. Let o be (-892)\/(-36) + (-2)\/(-9). Let n = 24 - o. Calculate the remainder when 66 is divided by c(n).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -76*h + 5. What is the tens digit of a(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v + 7. What is the tens digit of g(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 6 = -c. Suppose 4*x - 16 = 4*r, 4*x - 23 + 11 = 2*r. Let v(h) = 0*h + h - 20 + 24 - x*h + 2*h. Calculate v(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 53\/3. Let k = -1.9 - -2. Let y be 19\/30 + (-4)\/(200\/15). What is the nearest to z in k, y, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 4, 213, 1, -0.1 in increasing order.\nAnswer: -3\/7, -0.1, 1, 4, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-37)\/3 - 3*(-2)\/(-9). Is 11 a factor of (-11)\/(((-1)\/(-3))\/(n + 12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*n + 87 + 63 = -18 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 229.18 - 226. Let t = q + -2.98. What is the second biggest value in t, 30, -2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**4 - 2*j**3 - 3*j**2. Let a(l) = 5*l**4 - 5*l**3 - 7*l**2. Let o = -11 + 18. Let f(x) = o*v(x) - 3*a(x). Factor f(n).\nAnswer: -n**3*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-256)\/(-14) + 1\/(14\/(-4)). Let q(v) = -v**3 + 17*v**2 + 25*v - 19. What are the prime factors of q(z)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6971.\nAnswer: 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-19)\/(-76)*(-6)\/(-133)*(-31 + 177). Which is greater: i or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.5 (b) 3 (c) 183 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -7, 3.\nAnswer: -7, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**3*v**3 + 114949543*p**3*v**2 - 2329*p**2*v - p**2 - 57*p*v**3 - 5*v**3 + 4*v**2 wrt p.\nAnswer: 6*v**3 + 689697258*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 6*k**2 - 3*k + 1. Let s be a(-5). Let l = 9 + s. Differentiate l*m + 7 + m - 3*m wrt m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1388 - -15270\/11. Which is the smallest value? (a) 0 (b) -18 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 4*i = -12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11444*q = 11437*q + 238 for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26189*d**4*w - 2*w + 951 wrt d.\nAnswer: 104756*d**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g + 3*g - g + (2 + 2 - 5)*(-2*g + 3 - 3) + 77*g - 77*g - 66*g.\nAnswer: -65*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -105*o + 84*o + 105 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 0*b - 88*b**2 - 1\/3*b**3 - 1\/12*b**4 + 0. Determine m(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 4, -9*w = -8*w - 2*i - 34. What is the least common multiple of 222 and w?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001071874405 rounded to five dps?\nAnswer: 0.00107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/5 - 454\/90 and (-2 + 112\/(-9))*24\/(-20).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1323820928 to the power of 1\/2, to the nearest integer?\nAnswer: 36384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1)**(-30)\/(s*s*(s**(1\/4)\/s)\/s*s)**(1\/24) assuming s is positive.\nAnswer: s**(-2885\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (0 - (5 + -7)) - -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33020797 is divided by 556?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = j, -3*j - 229 = -3*x - 274 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -0.2, -32\/15, -2\/7, 0.5?\nAnswer: -32\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -16, -7, -2, -7, -28, -71, -142?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 251.37523 + -251.64. Let x = l + 0.266. Round x to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -55*m - 213. Let b be u(-7). Is 215\/b*(-4)\/10*-122 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**4 - 24*o**3 + 216*o**2 - 864*o - 9. Factor g(z).\nAnswer: 4*(z - 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 97 - 106. Suppose -u = -1 - 2, 1304 = 5*t + q*u. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*p = 12 + 3, p = s - 5. Suppose 0 = q - 3*t - s - 29, 5*t - 45 = -5*q. What is the remainder when q is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -a + 24. Let o be 8\/a - (-36)\/21. Suppose -o*l = -1 + 3, 12 = 4*z + 4*l. Calculate the remainder when 7 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -8*t + 2. What is f(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {c: 2, z: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -14*(32\/2)\/(-128)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/411 and -22\/18704747.\nAnswer: 56114241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + 6*l**2 - l**2 + (-l**2 + 0*l**2 + 0*l**2)*(2 + 1 - 1))*(6 - 1 - 3)*(-1 + 3 - 5).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, k: 2, d: 2}. Give prob of sequence di.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -200355330.\nAnswer: -801421320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 - 2*b. Let a(n) = -2*n**2. Calculate v(a(h)).\nAnswer: 12*h**4 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 413724203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8533 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 3*sqrt(176) - (sqrt(176) - (sqrt(176) + -1)*3)) + (-4*-4*(sqrt(176) + 0 + sqrt(176))*4)**2)*-5.\nAnswer: -14417925 - 100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62061.3ng in milligrams?\nAnswer: 0.0620613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 226682174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (-1)\/(-3))\/((-1)\/6). Let p be 0 - (-21)\/12 - 1\/j. Solve -11 = -3*g - p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -886 - -609. Suppose -2*a + 948 - 122 = 0. Let g = o + a. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 + q**5 + 0*q**5 - q + (q**4 - 2*q**4 + 0*q**4)*(-7*q + 6*q + 0*q).\nAnswer: 3*q**5 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*j**2 - 18*j + 47*j - 29*j.\nAnswer: 26*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.097 + 0.403. Which is smaller: -1\/5 or n?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-5))\/((-12)\/(-400)). Let o = t + -27. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1007 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k - 1. Let i(n) = n**3 - 2. Let r be i(2). Let p be r*-2*1\/(-4). Give j(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2671\/321 - -4\/321. What is the common denominator of 18 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11266798 divided by 346.\nAnswer: -32563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16012 is divided by 16004.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 685 is divided by 47?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/3)\/((-72)\/(-4))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*s**2 - 30*s**2 + 20*s**2.\nAnswer: 80*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -21 - (-15 - -16 - 6).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**2 - 2*o - 1. Suppose 4*b = 5*k - 8, 0 = 3*b - 2*k + k - 5. Calculate the smallest common multiple of 6 and f(b).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 1. Suppose q + 2*k = 52, 4*q + 3*k + 4 - 202 = b. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -3. Let y = 7 + g. Suppose 2*s - s - 9 = 0. What is the lowest common multiple of s and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 10:17 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -215 (b) 2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*z = 43*z - 15. Let y(s) be the third derivative of 1\/735*s**7 + 0*s - 4*s**2 + 0*s**4 + 0*s**z - 1\/1176*s**8 + 0*s**5 + 0 + 0*s**6. Factor y(h).\nAnswer: -2*h**4*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 13*m - 133. Determine b(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6236589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from vvvzzvzvzvzzvvvvvvz.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.54725 times -0.3069\nAnswer: -0.167951025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 85 - 77. Suppose 0 = -6*f + a*f - 3*x - 32, -2*x = 8. Find the second derivative of 5*v**5 + f*v + v**2 - v**2 - 25*v**5 wrt v.\nAnswer: -400*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5194*w + 5439*w - 490 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6 = 10. What is the smallest value in -1, q, 2\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 1 - h**3 - 7*h**2 - 2 + 3*h - 2*h**2. Let t(n) = n**3 + 14*n**2 + 6*n + 74. Let b be t(-14). Does 16 divide m(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/84 + 1 + 6\/(-4).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 38936?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -7) + (-4 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.5134 - -0.5134. What is the fourth smallest value in -2, k, 0.2, 0.06, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5207574296 to the power of 1\/4, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*a = 2*u - 18, 0 = -a + 3. Let w be 1\/(-3) - (-10)\/u. Suppose -w*v + 24 = -2*v. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-765)\/210*(-175)\/75.\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12270190, -24540381, -36810572, -49080763, -61350954, -73621145?\n\"Answer: -12270191*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.9 - 1.6. Let v = -22 + n. Let l = 26 + v. Sort -0.4, -1\/4, l in increasing order.\nAnswer: l, -0.4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*d + 4*t, 2*d - 2*t - 3 = 3*t. Suppose -2*x = -d*x. What is the derivative of c - 2*c**2 - 4 - c + x*c wrt c?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 3741511.\nAnswer: -3\/3741511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126757075 divided by 475.\nAnswer: 266857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 - 6*a - 30. Let d be c(8). Let h = -9 + 48. Suppose 5*i - h = 3*v - 4, -4*i + 3*v + 25 = 0. What is the greatest common factor of d and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1013053 - 100?\nAnswer: -1013153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3417, -6852, -10285, -13716, -17145, -20572, -23997?\n\"Answer: k**2 - 3438*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 681. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) + 0)**2 + -5 - (0 + sqrt(500))*-3)*5 - ((-1*(sqrt(500)*3 + -5))**2 + -3).\nAnswer: -2047 + 450*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 17*b**2 - 9*b - 3. Suppose -8*f - 143 = 5*f. Is a(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 422\/5 + (-18)\/45?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**2. Suppose 67 - 103 = -3*u. Let n(c) = -8 + 9 - 1 + u*c. Calculate n(z(v)).\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75)\/(-6))\/((-413)\/826)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-690)\/(-165) - 2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70249 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/2)\/(-3)*(-27)\/(-114). Let j = 51\/76 - q. Let g = 2 - 1.8. Which is the smallest value? (a) -4 (b) j (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*(k\/k**(1\/2))\/k))\/(k**(1\/3)\/k))**(-26\/9)*((k**(1\/2))**(1\/29))**(-3\/19) assuming k is positive.\nAnswer: k**(-100363\/29754)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 407*z**2 - 23. Let q(c) = -c**2. What is o(q(m))?\nAnswer: 407*m**4 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 39196000 to the nearest one million.\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -106\/7 in 1\/6, -31, -0.5, 0.1, 0.3, -0.44?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144 + 91. Let o = u - -109\/2. Let w = -1.6 - -3.6. Which is the closest to 2\/7? (a) o (b) -1\/6 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**4\/6 + 19*l**3\/3 - 461*l**2. Calculate d(-13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 11:32 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6843 + -5780. Does 54 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/40 and (4\/(-64))\/(2\/(-21)).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34722, 34735, 34756, 34785, 34822?\n\"Answer: 4*q**2 + q + 34717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007002089 rounded to 4 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -9*t - 16 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j = 1721 - 146. What is the highest common factor of j and 756?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -423 (base 6) in base 3?\nAnswer: -12220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q**2 - 238*q - 347. Let n be u(49). Which is the biggest value? (a) 0.04 (b) 2 (c) 0.042 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/2, -5, -4.\nAnswer: -5, -4, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, e: 6, x: 4, i: 2, w: 1, n: 2}. Give prob of picking 1 x, 1 w, and 2 i.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3047437 and 26384.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, r: 3, p: 1, c: 3, z: 5, s: 1}. Give prob of picking 1 z, 1 s, and 1 p.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -367570, -367569, -367574, -367591, -367626?\n\"Answer: -m**3 + 3*m**2 - m - 367571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037759 + 27983.53067?\nAnswer: 27983.568429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 403.777 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139 + (-32016)\/230 - (76\/(-6))\/((-50)\/165).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (594 - 594)\/(0 + 1 - 3). Solve 4\/5*u**2 + f*u - 4\/5 = 0 for u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**6\/40 - b**5\/24 + 3*b**3\/2 + 11*b**2. Let g(i) be the first derivative of u(i). Find the second derivative of g(s) wrt s.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3537 and -3831.\nAnswer: 13550247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*m*s**3*v - 1118*m*s**3 + 6*m*s*v + 2*m*s + 4*m - 38*s**3*v + 4*s**3 + 226*s**2*v + 3*s**2 - 388*s*v wrt s.\nAnswer: 66*m*v - 6708*m - 228*v + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.8 - -9.8. Let m = -5.6 + a. Let o = -2.40000038 + m. What is o rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 14*r + 6. Let v be (2\/(-1))\/((-4)\/6). Put r, v, -2 in increasing order.\nAnswer: -2, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*i - 2*u, i + 3*u = 2*i + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**4\/24 - d**3\/3 + d**2. Let h be r(4). Which is greater: 1\/2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9399?\nAnswer: 3, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6953952, -6953966, -6953980, -6953994?\n\"Answer: -14*u - 6953938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 49 + 3. Let g = 5 + y. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77169\/22 + 3506. Let x = i + -764\/33. What is the common denominator of x and 75\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 6*t**2 - 4*t**2 - 3*t**2 + 3*t**2.\nAnswer: -t**2*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29096*i + 29752*i - 12464 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m + 4*m + 24*m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2 + 12*u - 196. Let v be g(10). Calculate the highest common factor of v and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 205819\/9 - 22867. Factor 2\/9*i**3 + 8\/9 + p*i + 10\/9*i**2.\nAnswer: 2*(i + 1)*(i + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 8*s**2 - 10*s - 10. Let r be i(-9). Sort -2, 1, r.\nAnswer: -2, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 30. Let b = -1.955 - 0.045. Let a = -11\/48 + 1\/144. What is the fourth biggest value in i, -1, a, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (70385600\/560)\/((-4)\/(-14)). What is k rounded to the nearest 1000?\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 12*h**2 + 12*h - 2. Let j(o) = -48*o**2 - 53*o + 10. Determine -2*j(n) - 9*q(n).\nAnswer: -12*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -87385 to the nearest 1000.\nAnswer: -87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1897 and 2228162?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 + 2*r**2 + 0*r**2 + 30)*(-68*r**3 + 119870*r - 119870*r).\nAnswer: -136*r**5 + 340*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.338, -0.02, -1.168, 1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-514 - 600 - 243)*(0 - 2*m + 0).\nAnswer: 2714*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(27)*-3 + sqrt(972) + 2 + (5 + 6*(-1 + sqrt(3)*-2 - sqrt(3)))**2.\nAnswer: 45*sqrt(3) + 975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00025444991 rounded to seven decimal places?\nAnswer: -0.0002544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1849526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*p**2 + 444*p**3 + 229*p**4 - p - 446*p**3 - 231*p**4 + 2 as j*p**3 + w*p**2 + t*p + a + n*p**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b - 44*b + 620 = 0. Let g be 36\/10 - (-4)\/10. Suppose 18 = 2*q - t, -g*q + 6*t = t - 24. What is the least common multiple of q and b?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -547 (b) 1474 (c) -1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -110\/71 or -2?\nAnswer: -110\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/16 and -62\/7131.\nAnswer: 114096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8973517 plus 63?\nAnswer: -8973454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71240552 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0 (b) 100\/33 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187005, -373940, -560879, -747822, -934769, -1121720?\nAnswer: -1308675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - 0) + (-14 - -49) + (-7 - 14)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-8\/5)*(l*l*(((l*l*l\/l**(-11))\/l)\/l)\/l)\/l assuming l is positive.\nAnswer: l**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 595421 <= 595446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 1 + 4, 0 = 4*l + 3*v + 31 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44731?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46138?\nAnswer: 2, 17, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 501 + -490. Let a be -1 - (92\/(-6) + 3). Which is bigger: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 335\/70*-16*(15211\/(-164))\/53?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -155.566 - -156. Let l = h + 24.766. What is l rounded to 0 dps?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**2 - 23580*s + 70695 = 0 for s.\nAnswer: 3, 4713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 6*x**2 - 5*x - 2. Let b be f(5). Let y = 1 + b. Calculate the common denominator of (y - 93\/12) + -2 and 93\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-72)\/(-21) - (-16)\/28. Solve 0*z + o*z = 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-5) + (-378)\/(-45). Solve b*a - 13*a = -16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + 0*j - 2*j**3 + 4*j + 5*j**3 - 4*j + (0*j - 3*j + 2*j)*(-2*j**2 + 3*j**2 + j**2).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*b - 2*z, 4*z + 3 = 4*b - 21 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -14*u**2 - 7*u - 4. Let n(w) = -7*w**2 - 4*w - 2. Determine -5*n(b) + 3*y(b).\nAnswer: -7*b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25\/68 + -2\/17. Let j = 2.5 - -0.5. Which is greater: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0.031, 13, 1\/7, 1 in decreasing order.\nAnswer: 13, 1, 2\/5, 1\/7, 0.031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -26, -12, 20, 76, 162, 284?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = d, 3*b - d - 8 - 2 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 4:24 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**6\/120 - 2*t**5\/15 + 11*t**4\/12 + 11*t**3\/3 + 28*t**2 + 2*t. Let a be x(-10). Solve 0 = 5*z + 13 + a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266944 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1077 - 2.4077. Let b = -21 - -31. Let u = b + -17. What is the second smallest value in j, u, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -221 = 5*o - 4*o. Let j = 311 + o. What is the greatest common divisor of 18 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a. Let j be t(-1). Let f be (-3 + 1 + j)\/1. Solve -z - 5 = -f*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h - 146 - 88 = 0. Let b(g) = -11*g - 50. What is the hundreds digit of b(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, e: 2}. What is prob of sequence rr?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 - 5. Suppose 50*a - 54*a = 0. Give i(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xj when two letters picked without replacement from uyjuyyxguyyyjyyu?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ogg when three letters picked without replacement from vog.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-81)*-3*(-8)\/(-14)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 450*l - 443*l - 140. Solve 24*u - l*u = -20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 11*i + 53. Let j be s(-5). Let u be j\/75*-1*(-14 - -24). Factor 2\/15*z + u - 2\/15*z**2.\nAnswer: -2*(z - 2)*(z + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2058 by 3.\nAnswer: -686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 18*v**2 - 16*v. Let r be b(17). Suppose -13 = -2*d + z, 3*z - 8 = d - r. Solve d = -3*c + 6*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 21*o + 22. Let i be l(-1). Suppose 0 = -41*r + i - 1. Which is the second smallest value? (a) 4 (b) -0.08 (c) r (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36\/5*(-6720)\/(-2016). Solve -6*t = -2*s + 24, -c + 9 = 3*t - 2*s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1843, 5\/6, -0.246?\nAnswer: -0.246","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4674263 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 165 = -5. Suppose -4*d + 8*w + 1004 = 5*w, 0 = 2*w + v. Does 65 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 20. Calculate h(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 252533323 + -5?\nAnswer: 252533314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 3*d**2 - 6*d**2. Let q(i) = 7*i - 10*i + 4*i + 0*i. Determine t(q(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 440 and 455752?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2390 divide 32053827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-260)\/52)\/(((-8)\/32)\/((5\/(-5))\/2)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -208*k - 3743. Let a be j(-18). What is the second smallest value in 2, a, -1\/4, 2\/5, -0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 15387515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62629*l**3*t**2 - 30*l**3*t + 681*l*t wrt t?\nAnswer: 125258*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3240)\/(-3888) - (-22)\/(-21))*(-16)\/36*-3.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + -30?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1190? (a) 3 (b) 463 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 68.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3018*n**2 + 2650*n**2 - 6684*n**2.\nAnswer: -1016*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 5. Suppose -20 = -0*w + 4*w. Let q = w - 0. Sort q, 4, i in descending order.\nAnswer: 4, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27.04167 - 31.755281. Let l = j - -4.716. What is l rounded to 4 decimal places?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88825914?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -q - 45 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {d: 8, c: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.4199828 less than -100.99?\nAnswer: -80.5700172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.3, -3632, -6?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2)*(2 - 1 + 1)*(0*v + 6*v - 5*v)*(1 + 4 - 1).\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111011001000010111010 + -1?\nAnswer: -110111011001000010111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + -2 + 6\/3. What is the least common multiple of 11 and 6 + 3 + -4 - v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -151271694 divided by -1746\nAnswer: 86639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 35?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.9 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -816236310 divided by -683615?\nAnswer: 1194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l - 1. Let r(g) = -6*g + 3. Let s(b) = -4*r(b) - 14*w(b). Let y be (-13)\/2*(0 - -2). Let x = y + 15. Determine s(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 5*c + 75, 377*c - 355*c + 240 = -4*b for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -4. Let f(u) be the second derivative of 0 + 1\/12*u**4 + 1\/3*u**3 + 1\/2*u**2 + 3*u. Determine f(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(1 - 0)*1. Suppose 4*g + 5 + q = 0. What is the closest to 0.1 in -1\/3, g, -2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + -3 - (0 + -123). Suppose 3*s = 15, 36 = 5*h + 5*s - a. Let w = h - -7. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 14\/9*v - 4\/9 - 14\/9*v**3 + 2\/3*v**4 - 2\/9*v**2 = 0?\nAnswer: -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8807679193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -550686 by 2.\nAnswer: -275343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30168 and 22?\nAnswer: 331848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110204 - 8551 = 328*c - 3045*c + 36114 for c.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -31. Calculate the least common multiple of u and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(704)*-3 - -2*(1 + sqrt(704)))**2.\nAnswer: -32*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3212033 (base 4) to base 10.\nAnswer: 14735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/19 (b) -7591 (c) 1\/3 (d) 1\/44 (e) 209 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 4:13 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-7))\/((-42)\/490). Suppose v + 14 = 6*l. Solve 0 = -l*g - 0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/12 in -0.4, -0.3, 1\/8, -29\/2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46556?\nAnswer: 2, 103, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 - 7*i + 10. Let w be t(3). Let s(j) = -31*j**2 + 6*j - 61. Let c be s(w). Let f = 2817 + c. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -389195 divided by 77839\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s**3\/2 - 4660*s**2 + 10514504*s + 1612211328 = 0. Calculate s.\nAnswer: -144, 4732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2 + 5 = 0. Suppose g = 2*k + 12, -u - 1 = 2*g + 3*k. Suppose g - 16 = -3*s. Solve 4*m + s*j - 4 = -0*j, 11 = m + 3*j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-254)\/4064 + 6 + 2217\/(-368)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9382 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 170*o - 1191. Calculate i(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 12 = t + 3*h, -3*t - 4*h = 10. Suppose 192 = t*g + 3*k, 2*k = 5*g - 6*g + 97. Is g a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -428*s**2*z**2 + 2782*s*z**2 wrt s?\nAnswer: -856*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.05 - 0.05. Let j = 1.3 - x. What is the closest to -1\/2 in -5, -0.5, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -11*t**3 - 25*t**2 - 30*t - 5. Determine r(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*x, 2*r + x - 24 = -25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.218 - 28.318. Let m = y + 30. Round m to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3705*o - 4*o**2 + 3705*o.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5728)\/(-16640) - ((-33)\/(-8))\/11?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -224.26 (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1012524395, -1012524394, -1012524393, -1012524392?\n\"Answer: g - 1012524396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103398 (base 11) to base 9.\nAnswer: 272034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18045, -0.1, -18, 41 in descending order.\nAnswer: 18045, 41, -0.1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -423.88 and 0.2.\nAnswer: -84.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdzmzbzrmjj. What is prob of picking 1 j and 1 d?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m + 5*m**4 + 7*m - 10*m)*(-154 + 19 + 298 + 4) as i*m**4 + c*m**3 + q*m**2 + g + j*m and give i.\nAnswer: 835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13298945 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 40, 80, 120, 160?\n\"Answer: 40*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 272 and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 1. Let p(b) = 3*b - 1. Let i(d) = -6*f(d) - p(d). Does 4 divide i(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*o + 532*o - 178*o - 180*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjkdddgjjdjgaggkj. What is prob of sequence kjgj?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134 + 126 - 258 - 81*m**2.\nAnswer: -81*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 286.1691um in kilometers?\nAnswer: 0.0000002861691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 - 1.38. Let b = -0.12 + l. What is the third biggest value in -4, b, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 10, -5*a = y - 0*y + 10. What is the third smallest value in a, -28, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12374981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -360*o**3*x**2 - 15963*o**3*x + o**2*x**2 + 25*o*x**2 wrt x?\nAnswer: -720*o**3 + 2*o**2 + 50*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 314*p - 308*p - 96*p + 208*p)*(4*p + 0 + 0) - 3*p**2 - p**2 + 3*p**2.\nAnswer: -2041*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 1 = 31. Sort 2, -4, q in descending order.\nAnswer: q, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(2) + -5 + -3*2*sqrt(11) - (sqrt(1584) + 0)*4.\nAnswer: -53*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 4) to base 8.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, u: 13}. Give prob of picking 3 j.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -14*x**3 - 14*x**2 - 7*x + 14. Let u(s) = 5*s**3 + 5*s**2 + 3*s - 5. Determine 4*c(w) + 11*u(w).\nAnswer: -w**3 - w**2 + 5*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14100.\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -474 = -4*h + 2*h. Suppose g = -4*u - 2*g + h, -5*u + 301 = -g. Let a be (0 + 1)\/(5\/u). Solve 5*m - m = -a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 22976 = 23070?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4 + 15946*i**3 - 15233850*i**2 + 5146579454*i - 588828420748 = 0. Calculate i.\nAnswer: 349, 6926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 431?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -18*j + 35. Let g(v) = -3*v + 26. Let b(q) = 12*q - 99. Let r(i) = -4*b(i) - 15*g(i). Calculate 34*r(n) - 6*t(n).\nAnswer: 6*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**6\/15 - j**3\/3 - 32*j**2 - 53*j - 145. Let g(p) be the first derivative of w(p). Find the first derivative of g(l) wrt l.\nAnswer: -8*l**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000077214303 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.38 (c) 16972\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 241466544.\nAnswer: 241466544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1 - 4) + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14800 - -60718.\nAnswer: 75518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 6:23 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ausu when four letters picked without replacement from asusuaas.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 588214 divided by 45.\nAnswer: 588214\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20137121*u**5 + 2*u**2 + 12779496.\nAnswer: -1208227260*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 160?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4)\/d*d**(-2\/7)*d**(1\/4)\/(d**1*d*d))**(-44))**26 assuming d is positive.\nAnswer: d**(64350\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26304899 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23230357 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 3*r - 4, 5*u + 33 - 13 = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29551 - -177299\/6. Which is the nearest to -0.1? (a) 4 (b) -5 (c) z (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 989388721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 72, 83, 96?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -143, -260, -401, -578, -803, -1088?\n\"Answer: -2*c**3 - 103*c - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/5, 9\/4, 15.7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-4)*4\/(-6)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 + 491*t. Let s(d) = -77104*d. Give q(s(l)).\nAnswer: 11890053632*l**2 - 37858064*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -14*h + 3. Give v(3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f. Let a(j) = -66*j. Let r(p) = 2*a(p) + 27*n(p). Let b(u) = 6*u. Determine r(b(t)).\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5330425240 rounded to the nearest one million?\nAnswer: 5330000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = m - 21, -1009*p - 84 = -1005*p + 5*m for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2005613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**7\/105 + 32*d**6\/15 + 1229*d**4\/12 - 2*d**2 + 2781. Find the second derivative of n(y) wrt y.\nAnswer: 24*y**2 + 1536*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11124 - -111?\nAnswer: -11013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139296 is divided by 2902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, w: 1, v: 7}. Give prob of picking 1 w, 2 k, and 1 v.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + -11 - (-6 + 8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**2\/2 - 1. Let n(l) = -24*l - 4. Let m(v) = n(v) - 20*s(v). Let d be m(-6). Solve -2*c = -7*c - d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 57 = -2*j + 4*y, 67 = -71*j + 65*j - 5*y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 12*x - 13309 = -11*x, 0 = 2*a + 2*x - 5314. List the prime factors of a.\nAnswer: 3, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**5 - 2*j**2 + j. Let f(s) = 9*s**5 - 4*s**4 - 2*s**3 + 18*s**2 - 7*s. Let m(b) = -f(b) - 7*w(b). Solve m(i) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -182314\/4955 + -6\/991. Let f = -37 - u. Are f and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 3.1 (c) 0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -8052\nAnswer: 4026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 233279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2495\/424, -5, 1?\nAnswer: -2495\/424","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 0*r**3 + 0*r + 0*r**5 - 1\/140*r**7 + 0*r**4 + 0 + 1\/80*r**6 + 6*r**2. Factor f(z).\nAnswer: -3*z**3*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.944602 centuries to years.\nAnswer: 194.4602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 + s**2 + 55*s - 57*s - s**2.\nAnswer: s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y + 7 - 107 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 12:54 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-5\/2))\/(k\/(k*k**(5\/2)*k)))\/(k\/k**(-3\/4)*k**(1\/5)))\/((k**(1\/4)\/k)**(1\/16))**(1\/11) assuming k is positive.\nAnswer: k**(17791\/3520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47253104*a**3*u**2 + 15*a**2*u**2 + 242144*a**2 + 4*u wrt a?\nAnswer: -283518624*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*v - 3*v. Let x be 8\/v - 4\/(-6). Suppose -2*f = -3*o - f + 218, x = 2*o + 3*f - 127. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -134 - 143 + 285 + 18*v**2 + 17*v + v**3. Let f be u(-17). Suppose -f - 2 = -2*s, 2*s = -5*r + 465. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 136, 4, 0.2?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/49387 and 48\/482473.\nAnswer: 6272149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s - s + 6*s + 3*s - 3*s + s + 0*s + s + s + (-1 + 1 + 1)*(-s + 4*s - 2*s) - 3*s + 6*s - s)*(3*s + 0*s - 5*s) as x*s + j + k*s**2 and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 5 (c) 68.9206\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bgc. Give prob of sequence bc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2487919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8643 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - z + 22. Let g be i(0). Let u = -284 + 313. Suppose -u*x + 35 = -g*x. What is the remainder when 13 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*h, 3*h = -u - 0*h - 12. Suppose 0 = -u*z + 13 - 1. Solve 0*t + z = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 45*o**2 - 8*o + 446. Calculate f(45).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5*o + o + 5*o)*(o + 0*o - 2*o) + 2*o**2 + 3*o**2 - 3*o**2)*(19*o + 9*o - 17*o) to the form r + m*o + s*o**3 + q*o**2 and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*i + 42*i = -4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/11480 and -1\/3157.\nAnswer: 126280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 74 = 3*j, -6*j + j + 50 = 3*b. Suppose -2*z + b = 2*x + 90, 3*z - 3*x + 135 = 0. Let w = 92 - z. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/((2 + -3 + 0)*-1). Solve -3*o = p - 17, o - 4 = -k*o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*f**3 + 98*f**3 - 48*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -29140, -28389, -27136, -25381, -23124?\n\"Answer: 251*o**2 - 2*o - 29389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (4 - 2) + -1 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 6887 = -6959 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + j**2 - 5*j - 5. Suppose 4*w + 852 = 4*p - 0*w, -p - w + 203 = 0. Suppose -2*s + p = 212. Let n be l(s). Solve z - 2 = n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16.323 - 151.9\nAnswer: -168.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (270\/163944*-23)\/((-15)\/24).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, p: 1, m: 1, l: 1, h: 1}. Give prob of sequence lh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 8:55 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109797, 109821, 109859, 109911?\nAnswer: 109977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 251.3, 1\/36, 2\/5 in increasing order.\nAnswer: 1\/36, 0.2, 2\/5, 251.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*b + 628791 - 1886380 + 628794 + 628795.\nAnswer: -23*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 155*j**2 - 2*j + 7. Let a be h(-3). Let m be 3 + a\/(-48)*(-6)\/(-4). Let x = -7 - m. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2873.5 + -2873.3. What is the closest to a in 0.3, 1\/7, -748?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (272\/(-14))\/68*-196.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 19*m + 31. Calculate k(-8).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1262 and 249.\nAnswer: 314238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/4 + (-16)\/(-2). Suppose -4*s = -5*k - 6 + 20, f*s + 13 = 4*k. Let y be (7\/14)\/(s\/(-8)). What is the greatest common factor of 32 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i**3 + 11*i - 94*i**2 + 17*i + 0*i**3 + 101*i**2 - 101*i**2 = 0 for i.\nAnswer: -7, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 207*t - 89. Is p(7) a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 580893239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03335 and -0.5?\nAnswer: 0.016675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + v + 48 = -8*r, 4*r + 24 = 4*v. Let n be ((-6)\/2)\/3 - -13. Let f = r + n. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 10 - 12 = 5*r, -k - 14 = 4*r. What is the greatest common divisor of 5 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.024 + -1.6885. What is l rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 16*x**3 - 6. Let r(a) = -15*a**3 - a + 5. Let w(b) = 6*r(b) + 5*z(b). What is the second derivative of w(y) wrt y?\nAnswer: -60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 187 - 183. Let h(u) be the third derivative of -u**5\/60 - u**4\/8 + u**3\/2 - 3*u**2. Let w be h(-3). Sort j, w, 21 in descending order.\nAnswer: 21, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 10. Let f be m(-5). Solve 0 = -r + f - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 480 and 23540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -4.8, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-90) + -1 + (-52)\/(-65). What is the nearest to 1\/4 in 3, -0.1, n, 4\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14323500?\nAnswer: 2, 3, 5, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5 + 15 = 0. Suppose -h + k*q + 11 = -0*q, -4*q = h - 11. What is the remainder when 21 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 29 = -2*b, 4*b - 4*z - 9 = 19. Solve 5*m + 20 = 0, -a + m - b*m - 3 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w**2 - 37794*w + 11*w**3 + 3*w**2 + 37799*w + 0*w**2 in the form u*w**2 + s + i*w + b*w**3 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 37, 1\/2, 0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 10*y**4\/3 + y**3\/2 + 32*y. Find the second derivative of j(g) wrt g.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**7\/(m\/((m**(-3\/8)*m)\/m)*m) assuming m is positive.\nAnswer: m**(37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 959 + 127 = 0. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*w + 5, 3*s = 3*w. Suppose 0 = -2*t + t - v + 33, 5*v = -s. What is the remainder when t is divided by 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 13*p - 1. Let f be y(0). Does 28 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-4 + 2))\/1. Let q be 99\/(-135) + 1\/l. Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4160)\/(-936)*9\/96?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {v: 2, f: 4, h: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + 1*sqrt(84)*1 + sqrt(84))\/sqrt(12))**2 + -5 + ((sqrt(7) - sqrt(7)*-6*3)**2 - sqrt(7)).\nAnswer: -sqrt(7) + 2585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*b - 2*b. Suppose r = 2*r - 5*d - 50, d = 2. What is the first derivative of -m**4 + 60*m**b - r*m**3 - 1 wrt m?\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -442*g**2 - 2 - 1184*g + 2 - 439*g**2 + 882*g**2 as r + u*g + h*g**2 and give u.\nAnswer: -1184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 8 = -12. Suppose 1 = f*i - 7. Let c be (2 - 3\/(-3)) + i. Solve 0*j + j - 5*d + 11 = 0, c*d = 2*j + 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 10 = 4*o, -2*p = -2*o + 288. Let t = -121 - p. Solve 0 = -l - 5*b - 26, l = -4*b - t + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 651 and 609.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15553585*d**6 - 2*d**2 + 4*d - 1269621.\nAnswer: -1866430200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 3*m**4\/4 - 3*m**2 - 3*m + 1. Suppose -2*t + 10 = 0, -206*o = -203*o - t - 7. Is 15 a factor of z(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 12 = -2*z. Let q = -164279\/12 + 13678. Calculate the common denominator of q and 1 - (z - (-86)\/(-36)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + (-98)\/(-34) + 26\/221. Solve d = -5*t - 37 + 17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 96065*l. Let s(m) = 5*m. Determine s(b(y)).\nAnswer: 480325*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6806, 12228, 14840, 13238, 6018, -8224?\nAnswer: -30892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.218073 rounded to 3 decimal places?\nAnswer: -0.218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 19*n = -16*n + 24, 5*n = -3*u - 32. Let m(o) = o + 9. Let j be m(-7). Sort -5, j, u in ascending order.\nAnswer: -5, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 2*h + 1\/6*h**4 - 7\/2*h**2 + 0 - 5\/6*h**3. Let w(q) = 2*q**2 - 6*q - 8. What is -6*v(f) + 5*w(f)?\nAnswer: -2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14689165?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 478950 by 7725.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 4:17 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 32923228 and -10801.\nAnswer: 32912427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 4:38 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 6*l - 129. Suppose -96 = -5*d + 4*j - l, d + 5*j = 38. Calculate the remainder when d is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -127 + 126. Let n be (-3 + b + 8\/3)*-3. Suppose 2*w - 36 + 6 = -2*u, 2*u + n*w - 30 = 0. Calculate the remainder when u is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(7\/6))**(-34)*c\/c**(-22)*c**5 assuming c is positive.\nAnswer: c**(-137\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pw when two letters picked without replacement from {p: 5, w: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4.26427 days?\nAnswer: 6140.5488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (1 - 11 - -4 - 4)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 361, 627, 951, 1333, 1773?\nAnswer: 2271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2163, 68, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/3 (b) -3 (c) -2 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/11 + (-1055)\/(-55). Let x be 170 - ((-2)\/21 - 57\/63). Calculate the greatest common factor of o and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + s + 4, 0 = -5*i + 11*s - 16*s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*r**2 - 7*r**2 + 6*r**2)*(399 - 399 + 4*r + (0 + 2 - 3)*(1 - 1 + 2*r)) as j*r**3 + p*r + f*r**2 + z and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38937.\nAnswer: 3, 12979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1054\/35 + 264\/7. What is the common denominator of -25\/4 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13*-0.212.\nAnswer: 0.02756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**2 + 146*d - 133*d + 2*d**2 in the form u*d + s + m*d**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 8 - (2 - -1))*(-290)\/30.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 760 and 282910?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19124 + -9042. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f + 6. Let i(r) = -2*r + 5. Let g be i(6). Let w be (-13)\/g + 6 + (-1)\/(-7). Give q(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 486*r**3 + 287*r**3 - 15*r**3.\nAnswer: 758*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/4 of a gram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118992?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110100011 - -1?\nAnswer: -10110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1188766802?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88 - -262\/3. Let h = 0 + 0.1. Let i = -0.125 + -4.875. Which is the smallest value? (a) h (b) m (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025095350?\nAnswer: 2, 3, 5, 1087, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 452 + -448. Which is the nearest to t? (a) -3\/4 (b) 5 (c) -2 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0 = -87. Let c = x + 102. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35543 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 32*f - 308. Give r(13).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, r: 2, e: 1, u: 6, c: 2, d: 1}. What is prob of picking 1 a and 1 d?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000866 to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -630*y**5 - 1187*y**2 wrt y?\nAnswer: -37800*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -5. Let k = -4.038 + 0.038. Let o = 4.3 + -4.5. Which is the third smallest value? (a) r (b) o (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2740348747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3544 take away 1?\nAnswer: -3545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 106 - 105. Let k be 60\/(-18)*i + 4. Let g = -1 - -1.2. Which is the third biggest value? (a) k (b) 11 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfff when four letters picked without replacement from fxfxxfxxxfxf?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 56*o**5 + 124*o**4 - 12*o**3 - 64*o**2 + 16*o = 0.\nAnswer: -2, -1, 0, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -282623, -565297, -847973, -1130651, -1413331, -1696013?\nAnswer: -1978697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -98*t**4 + 926*t**3 + 97*t**4 + 2 + 388*t - 925*t**3 as y*t**3 + h*t**2 + z*t**4 + i*t + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 911582869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 1765 - 275. Is 2*2\/(-8)*c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3999974 + -0.4. Round m to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319254?\nAnswer: 2, 3, 13, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -5 - (6 + 0 - 12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**5\/2 + 14*o**4 - 94*o**3 + 56*o**2 = 0. Calculate o.\nAnswer: -14, 0, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*u, -7*u + 5*u - 29 = -5*n. Solve -10 = n*i - 2*b, -2*b = -0*b + 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11111 - -30?\nAnswer: 11141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5 + -2 + -2)*121 is divided by (4 - -20) + (-7)\/(-7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2341 (base 5) to base 7\nAnswer: -1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 83*l**2 - 2*l + 2. Let d be g(1). Differentiate -37*y**3 - 83*y - 14 + d*y with respect to y.\nAnswer: -111*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*v + 0*v + v)*(2 - 4 + 3)*(1 + 2 - 7) as n + h*v and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2 - 17 = -5*r, -5*r - 2*t = -20. Suppose -3*w - 669 = -5*g, -2*g + r*w = 2*w - 276. Is g a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68093b (base 14) in base 11?\nAnswer: -1aa5797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -68, -96, -110, -104, -72, -8, 94?\n\"Answer: u**3 + u**2 - 38*u - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38271 divided by 38271?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - (-27 - 4)) + (1 - (121 + -9 + 3))?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(33\/9))\/(15\/6*4)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**4 + 7*f**3\/3 - 3*f**2 + 13. Let w(p) = 8*p**3 + 15*p**2 - 13*p. Let l(b) = 13*s(b) - 6*w(b). Is 14 a factor of l(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40295772?\nAnswer: 2, 3, 11, 107, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -719400 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f. Let g(k) be the second derivative of 5*k**3\/3 + 12*k. Determine g(c(l)).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23394?\nAnswer: 2, 3, 7, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 6435331.\nAnswer: 6435331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 108 and -3146.3.\nAnswer: -3038.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2427678 by 39798.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1969? (a) -0.3 (b) -0.13 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*a - 1452 = 35*a - 19*a for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014603 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 11:16 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/17704 and 83\/4426.\nAnswer: 17704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 41404 (base 5) in base 16?\nAnswer: aa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 54*f**2 - 41*f - 1. Let i(l) = 28*l. What is i(c(u))?\nAnswer: 1512*u**2 - 1148*u - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 3\/98, 6, 34, 1, 0?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.441651 millilitres?\nAnswer: 0.005441651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17b381 (base 12) in base 14?\nAnswer: aa9b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyoy when four letters picked without replacement from {u: 1, y: 14, o: 2}?\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4208 divided by 5\nAnswer: 4208\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2. Which is smaller: 2\/15 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*i + 12. Let m = -3 - -4. Let t be 1*-10*m\/(-2). Solve 0 = 3*f - i*f + t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-5 - 27650)\/(50\/(-40))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*o + 10. Let w be 3 + ((-195)\/(-78))\/(o\/1). Factor -w*n + 1\/2*n**2 + 0.\nAnswer: n*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -45*y**3 + y**2 + 2*y + 1. Let a be q(-1). What is the greatest common factor of a and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 11*d**2 - 2*d - 27. Let b be j(-11). Let u be 14\/b - 2 - 8\/40. Let i(p) = 2*p - 2. Calculate i(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2052)*2 + sqrt(2052) + sqrt(2052) + sqrt(57) - 3*(sqrt(57) + sqrt(57)*3))\/((sqrt(3) - (sqrt(243) + 5*sqrt(243) + sqrt(243)))*-5).\nAnswer: 13*sqrt(19)\/310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 782993702.\nAnswer: 2, 347, 1128233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(19) + 1 + (sqrt(171) - sqrt(19)))**2 + sqrt(19) - (-2*(-2 + sqrt(19) - sqrt(19)))**2 - (sqrt(2736)*-1*-3*3)**2)*4.\nAnswer: -56*sqrt(19) + 1771680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**4 + z**4 - z**4 + (-2 + 1 + 0)*(-z**4 + 5*z**4 - z**4).\nAnswer: -6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-27) + 50\/18. Suppose -h - 1 = -z. Solve -y = -z*y + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198051, -396100, -594139, -792168, -990187, -1188196?\nAnswer: -1386195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**1*(y\/(y*y**6))\/y*((y*y**(-1\/2))\/y*y)**(4\/23)*y\/y**3*y*y**(-7)*y*y**(1\/3)*(y\/y**(2\/7))\/y*y*y assuming y is positive.\nAnswer: y**(-5248\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, m: 3, z: 4}. What is prob of sequence nn?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6307*z + 6181*z - 7182 for z.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**4\/4 + 3*k**3\/4 + 11*k**2\/2 - 3*k - 2 = 0.\nAnswer: -2, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-4 + 9 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17212 + 21515 = -741*p + 9828 for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12312 + 3*n - n - 12312 + 24624.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3663 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**5 - 195*w**4 + 2335*w**3 - 11265*w**2 + 23580*w - 17820 = 0. What is w?\nAnswer: 2, 3, 9, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -27.5. What is the second biggest value in 5, -4, j, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * 0.8\nAnswer: 0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101010110110101111 + 100?\nAnswer: 11101010110110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 64*m - 30. Calculate j(4).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4476811 or -4476814?\nAnswer: -4476811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-25)\/(-3)) + (-32)\/(-80)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 111*q**2 - 825*q - 15. Calculate the least common multiple of h(-103) and 3280.\nAnswer: 36080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l + 956420*l**2 + 956420*l**2 - 1912838*l**2.\nAnswer: 2*l**2 - 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -28. Suppose -z*w = -0 - 6, -3*q = -5*w - 99. Calculate the remainder when q is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 4*l - 63 = -3*g, 4440*l - 4*g + 204 = 4443*l for l.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/6 - (6\/9 - 0). Suppose f - 13 = d. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -12.4, -0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 13*q + 1. Let o be a(-4). Let m = 16 - o. What is the remainder when m is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -39*l**2 + 5*l - 5. Let z(p) = 59*p**2 - 8*p + 8. Determine 8*u(f) + 5*z(f).\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-175)\/(-35) - ((-10400)\/(-864) + 35\/(-10)*2).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-30) + 22\/(-5). Let j = -10 - x. Let i(r) = r - 6. Let s be (-1)\/(-2)*-2*-1. Let p(h) = -1. What is j*p(f) + s*i(f)?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 270792757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 108 + -105. Solve -4*b + 8 = -2*b - a*r, -2*b - 8 = r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.14 - -11. Let f = a - -2.94. Let v = f + -3. Sort 0.2, v, 1\/7 in descending order.\nAnswer: 0.2, 1\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1084*l**2*z**3 + 2*l**2*z**2 + 15*l**2*z + 5*l**2 + l*z**2 + z**5 - 2553*z**4 - 10007*z**2 wrt z?\nAnswer: -6504*l**2 + 60*z**2 - 61272*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1036)\/(-140) + (-5 - -5 - 7). What is the nearest to o in 3, -0.071, 4, -1\/3?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -12. Let z(a) = -5 + 2*a - 1 + d*a. Let p(k) = 6*k - 5. Let c(n) = 6*p(n) - 5*z(n). Let m(l) = -l. Give c(m(i)).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/3 - 20*r**3\/3 + 67*r**2\/3 + 56*r - 240.\nAnswer: (r - 15)*(r - 4)**2*(r + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**4 + 666780*n**3 + 666777*n**2 = 0.\nAnswer: -222259, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 2, 20, 2\/9, 7 in descending order.\nAnswer: 20, 7, 2, 2\/9, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m - 1. Suppose 4*k + 18 = -2. Let t = -8 - k. List the prime factors of d(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**4 - 8*b**3 - 141*b + 64*b + 133*b wrt b?\nAnswer: -24*b**2 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 15 + 17*o)*(18*o - 5*o - 9*o)*(-4*o**2 - o**2 - 2*o**2).\nAnswer: -476*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a millennium in years?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-5)*n*n\/(n\/(n\/(n\/(n\/(n**(-11\/2)\/n)))*n)*n))\/(n**4\/(n*n**8)) assuming n is positive.\nAnswer: n**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 494 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*y - 261 = 0, -w - 4*y = w - 110. Suppose -13 = 2*l - w. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 1, -1\/3, -2\/11, -43?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 1:07 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/864 + 41029\/9504. What is the common denominator of (-2)\/(-7) + 740\/(-336) and m?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**4 + 88*o**3 - 724*o**2 + 2640*o - 3600.\nAnswer: -4*(o - 6)**2*(o - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 68861 and 68836 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d. Let y be q(-2). Suppose 0*h - 2*h = 3*g - 15, 0 = -4*h - g + 5. Suppose -y = -u - h*u. Solve 6 = -u*s + 5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, h: 1, y: 1}. What is prob of picking 1 y and 1 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*y + 4401 = -15096, -2*p = -3*y - 7814. What is the thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 404\/4824423 or 1?\nAnswer: 404\/4824423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 7. Let w = -1 + o. Let f(p) = 5*p + 16. Let n be f(-4). Sort -1, w, 0, n.\nAnswer: n, -1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 117*c**2 - 9*c - 29. Let v(o) = 120*o**2 - 9*o - 28. Let a(s) = -6*j(s) + 7*v(s). Is a(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*g + 4*g - 7600. Let y = g + -259. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 129 = -74. Let v = 523 + d. What is v rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 159\/2 + -633\/8. Which is the third biggest value? (a) 1\/7 (b) q (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glg when three letters picked without replacement from {l: 6, g: 7}?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -17. Suppose 0*f + u*f = 0. Suppose f = -4*k + 8, -k + 67 = p - 2*k. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*w**3 - 149*w**2 - 29268*w wrt w.\nAnswer: 30*w - 298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 61782?\nAnswer: 494256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3278901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3337?\nAnswer: 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 6:43 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2*w)**(-45)\/(w**(-2\/3)*w)**(-2\/15) assuming w is positive.\nAnswer: w**(-6073\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1279 * 1497\nAnswer: 1914663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -3\/16, -21, 2 in increasing order.\nAnswer: -21, -3\/16, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*x - 280 = -439*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**3\/9 - 19232*p**2\/9 - 15404830*p\/3 + 10278436 = 0.\nAnswer: -4809, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -9*s**3 + s**2 + 4*s + 3. Let u(j) = 3*j**3 + j. Let f(h) = -h**3 - h. Let y(o) = 2*f(o) + u(o). Calculate -n(x) - 4*y(x).\nAnswer: 5*x**3 - x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -3 + 2 + 0 + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 512372 and 14558432?\nAnswer: 422194528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 246 + -88. Let k = x + -165. What is the biggest value in 0.01, k, -1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -113.357546 + 243.357447. Let s = 288 + -418. Let c = s + o. Round c to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11998, -14602, -18942, -25018, -32830?\n\"Answer: -868*x**2 - 11130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2880) + -4 + sqrt(2880) - (sqrt(5) + (sqrt(5)*1)**2 + 1 - (sqrt(45)\/sqrt(225) - sqrt(5))).\nAnswer: -10 + 231*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 2*c + f, -18 = -3*c - 5*f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -637 + 393 = -t + 162. Calculate the remainder when t is divided by 39.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 9496543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2373, 2361, 2349, 2337, 2325, 2313?\nAnswer: 2301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 1. Suppose i*v = 4 + 41. Let m be (3\/(-5))\/(v\/(-10)). What is the biggest value in 2\/9, 3, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4\/3 - 4*b**3\/3 + 14*b**2\/3 + 40*b\/3 + 8 = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a year?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 243 + -133. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -47*c**5\/60 - 5*c**3\/6 + 3*c**2 + 1. Find the first derivative of u(a) wrt a.\nAnswer: -94*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1943553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2, -0.1, 5\/3, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 92517?\nAnswer: -46258.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2\/5, 0.2, -9.7, 0.01?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/50*36)\/(27\/45)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43507939 to the nearest integer?\nAnswer: 6596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 291209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6560)\/(-4592))\/(4*(-2)\/14)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, -2, -35, 0 in decreasing order.\nAnswer: 2, 0, -2, -9, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 1092.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 138 = -5*b - 59, 4*j - 3*b - 720 = 0. Suppose 6*q = 909 - j. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 995.5771 centuries in decades?\nAnswer: 9955.771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z**2 + 3*z - 6. Let c(p) = 1 + 16 + 5*p**2 + 6*p**2 - 10*p. Let j(f) = 3*c(f) + 8*g(f). What is j(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 10*b**2 + 6*b + 25. Let s be n(7). Let h = 285 + s. What are the prime factors of h?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25697407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13867900 rounded to the nearest ten thousand?\nAnswer: -13870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 4, -2, -3\/19, 449?\nAnswer: 449","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14860)\/(-1995) - 6\/(-14). Let f = x - 26\/3. Let v = f + 143\/133. Calculate the common denominator of v and 1\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533945230 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 462.7609 millimeters in centimeters?\nAnswer: 46.27609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -121*w**4 - 12*w**3 + 1138*w**2 - 2*w?\nAnswer: -2904*w - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, 6\/11, -5, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from {z: 18, q: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*r**2 + 53*r**2 + 395*r**2 - 222*r**2.\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - z = 119, -z + 15 = -4*z. Suppose 132 = -2*f + 6*f. Let n = f - 23. What is the remainder when i is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 16 = 1, -5*p = 2*a + 30. Let c(q) = q + 10. What is the units digit of c(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2193 = 51*h - 276*h + 4517 + 2965 for h.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5995000 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604541748.\nAnswer: 2, 3, 50378479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.1 + -5. Let l = 2.1 - g. Let j be (-936)\/65 + 14 - 0. What is the smallest value in l, j, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2594063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**3\/2 - 472*q**2 - 5637*q\/2 - 4221 = 0.\nAnswer: -938, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.4, -5\/2, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 49 = -2*p, 5*u + 66 = p + 2*p. Suppose -4*l + p + 0 = -d, -2*l = -d - 11. Suppose l*q = 112 + 143. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7*h**2. Let y(v) be the first derivative of -v**2\/2 - 5. What is y(x(o))?\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4773457 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 5 (b) -0.1 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12801 and 251.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1687 divide 201743048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*a = -32 + 21, 0 = 3*a + 15. Let k(t) = -487*t**3 + t**2 - 3*t - 2. Does 12 divide k(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20.785 + -1.785. Is 63 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2414878.82 rounded to the nearest one hundred?\nAnswer: -2414900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -10, 53, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*n - 13, f - 7 = -5*n + 6. Suppose 3*h = -g + f, -5*g - 2*h + 26 = -0*h. Factor -3*p**3 + 34*p + g*p**2 - 26*p - p**3.\nAnswer: -4*p*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 3:54 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 + (-10 - -23) + 3 + -8 + (-5 - -6).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*r = -4*n - 88, 2*n = 0. What is the smallest value in 0.4, r, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3434915844?\nAnswer: 2, 3, 95414329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3398421, 3398419, 3398417, 3398415, 3398413?\nAnswer: 3398411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15970\/27 or -590?\nAnswer: -15970\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 1420, 3.\nAnswer: 3, 19, 1420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.6 - 2.1. Sort -5, 0.4, s.\nAnswer: -5, s, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015996477 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 40 - 39?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**6\/60 - 41*y**5\/15 + 11*y**4\/3 + 4*y**3\/3 + 449*y**2. Find the second derivative of v(n) wrt n.\nAnswer: 12*n - 328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80848809 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3877*n - 3683145. Give d(950).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a kilogram in grams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5305.\nAnswer: 5, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4955\/363 - 2\/121. Let l = -61\/3 - p. Find the common denominator of l and 55\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -12*c**5 + 85940*c**4 - 132699552*c**3 - 78225806944*c**2 - 103887723456*c + 104064809024 = 0.\nAnswer: -449, -2, 2\/3, 3806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(-100)*(-3)\/1)\/((-99)\/(-48))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*a**2*b*q**3 + 4*a**2*b - 2*a**2*q**3 + a**2*q**2 + 2*a**2 + q**3 wrt q.\nAnswer: 78*a**2*b - 12*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116928 and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 12*z**2 - 6*z + 40. Let g be i(-12). Calculate the highest common divisor of g and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48\/23 - 3063\/46. Let c = -255\/4 - w. Factor -7\/4*g - c*g**3 - 1\/2 - 2*g**2.\nAnswer: -(g + 1)**2*(3*g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 8*d**2 - 3*d - 7. Let w(z) = -z**3 - 5*z**2 - 18*z - 91. Let i be w(-7). Suppose -i + 37 = -12*n. Calculate a(n).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27*3 + 70\/6*(-11004)\/(-6419) + -21\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/5 - 8944*f\/5 + 19998784\/5.\nAnswer: (f - 4472)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103335451 to the nearest integer?\nAnswer: 10165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 10:47 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 2*s - 4. Let m be w(-3). Let t = -9 - m. Is 8 a factor of (-93)\/6*1*t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.017 + 1.017. Let j = 0.0729 - -0.2271. Which is the third smallest value? (a) j (b) 32 (c) u (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -56, -0.148, -1\/4, -49, -2\/17?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*a = -157*a + 275*a + 3888 for a.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 190435, 381783, 573131, 764479, 955827, 1147175?\n\"Answer: 191348*g - 913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = n - 354. Suppose 5*s + 8 = n. Find the common denominator of -51\/11 and ((-6)\/9)\/(s\/18).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**2*m - 3*a**2*w**3 + 11*a**2 + 3*g*m*w**3 - 2*g*m + 12*g*w**3 + w**2 wrt w?\nAnswer: -18*a**2 + 18*g*m + 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 13. Let a = u + -4.99999973. What is a rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -14 - (10 - (64 - (8 + -3))).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 22 = -8*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0, 2\/39, 43?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 - -68764.428?\nAnswer: 68764.448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2.86, -2, -1.5, 1\/6, -3?\nAnswer: -2.86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -110111 (base 2) in base 14?\nAnswer: -3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 141837\/(-14322) + 4*1. Let s = z + 182\/31. Let u = 3\/14 + s. Is u >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j - 5. Let t(d) = d**3 - 5*d + 4. Let c(m) = 4*r(m) + 5*t(m). Let a be c(1). Solve -a + 14 = 2*s, -3*n - 3 = -3*s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + (-2 - (-6 - 4)). Put -2, -3, v in ascending order.\nAnswer: -3, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -23 - a + 7*a - 2*a. Let f(r) = -55*r - 597. Let b be f(-11). Calculate the remainder when 23 is divided by j(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5712622*o**2*s**3 - 21*o**2*s**2 - 194845*o**2*s wrt s?\nAnswer: -34275732*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 286 and 442200.\nAnswer: 5748600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -483*s**3 + 576*s**3 + 12*s**2 - 4*s + 2378*s**3 + 3*s wrt s.\nAnswer: 14826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-80)*(-1128)\/(-846).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 36297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5075*k - 35522. What is z(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, x: 2, q: 1, d: 2, o: 2}. What is prob of picking 1 o and 2 x?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -12*d**2 + 4*d + 4. Determine g(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 418235*b**4 - 4 + 262*b**3 + 2*b**5 - 24 - 418229*b**4 - 29*b wrt b.\nAnswer: 40*b**3 + 72*b**2 + 1572*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37942400 - 18642400. Round s to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -7. Let y = 723 + -620. What is the remainder when y is divided by 0 - m - -1*25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -27*j**5\/5 - 415833*j**4 - 8547369*j**3\/5 - 11319363*j**2\/5 - 5313144*j\/5 - 462012\/5 = 0.\nAnswer: -77002, -2, -1, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 174394 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/18 - (-51)\/(-108). Let u = 7.5 + 0.9. Let p = u - 8. Which is the closest to x? (a) 5 (b) 0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43*k**3 + 1107*k**2 + k - 698839 with respect to k.\nAnswer: -129*k**2 + 2214*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15976767 and 3272?\nAnswer: 127814136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 6322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122776, -245556, -368336, -491116, -613896, -736676?\nAnswer: -859456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**4\/19 - 1632*k**3\/19 - 359618*k**2\/19 - 13124148*k\/19 - 12766160\/19 = 0.\nAnswer: -445, -326, -44, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 304080 and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, v: 3, x: 6, e: 2, n: 5}. What is prob of picking 2 y?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, y: 5, j: 3, b: 4}. What is prob of picking 1 j and 3 b?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -36. Let t be -3 + 3 + (p - -9) + 3. Suppose 3*s + 3*u = 0, 4*s - 3*s - 3*u - t = 0. Solve 3*d - 14 = -s*l + 2*l, -2*l - 5*d = -23 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 + -110?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -126033\/15184 - -614\/73. What is the common denominator of -99\/728 and p?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + t**2 - t. Let v(m) = -2*m**3 + 3*m**2 - 4*m - 3. Calculate -v(k) + 4*w(k).\nAnswer: -2*k**3 + k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289390329 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, 3\/101, -9, 2\/7 in increasing order.\nAnswer: -9, 3\/101, 2\/7, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7*r - 1. Let c be n(-1). Suppose 2*w = 8*w + 2652. Let k = -901\/2 - w. Which is greater: k or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32656*i**6 + 28*i**2 + 75.\nAnswer: 3918720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-5\/9)*i**(3\/2)*i assuming i is positive.\nAnswer: i**(35\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.048 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -38 + (3\/(-3) - 0). Let b = z - -43. Solve -b + 0 = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*b + 20490, -5*p = 3*b - 1800 - 18711. What is the thousands digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 4 - a**4 - a**3 - 3 - 2*a in the form q*a**3 + p*a**2 + o*a + k + h*a**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i + 1010 - 2154 + 1074 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -21 + (-55 - -20 - -10).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 - 3*k**2 + k**2 + (1 + 3 - 5)*(k**2 + 3*k**2 - 3*k**2) - 204 + 3137*k**2 - 3138*k**2 - 119 to the form s + b*k + t*k**2 and give s.\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101 + 111000000111110?\nAnswer: 111000001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -2\/461 (c) -2\/5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d\/(d*((d*d*d\/(((d*d**6)\/d)\/d))\/d)\/d*d)))\/d**7)\/(d**(-3)\/d**4))**(-1\/5))**20 assuming d is positive.\nAnswer: d**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.9181 + 0.0819. What is the third smallest value in 2\/11, -0.01, -0.2, d?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 divided by 3?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, o: 7, d: 2, x: 1}. What is prob of picking 1 o and 1 c?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/12 - 1)\/(13\/104). Let x(q) = -7*q**2 + q**3 - 2*q**n - q - 7 + 6. What is x(9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4*c**3 - 188*c**2 - 1380*c + 5724 = 0.\nAnswer: -9, 3, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 251*a**6 + 817*a**5 + 468*a**2 - 6465*a?\nAnswer: 30120*a**3 + 49020*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2 - 249*b - 48. Let m(g) = -6*g**2 + 373*g + 72. Let r(f) = 5*m(f) + 8*s(f). What is r(-21)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -415)*1 + -23 + 25. What is the third derivative of 213*x**3 - 54*x**4 - w*x**3 - 116*x**2 + 203*x**3 wrt x?\nAnswer: -1296*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*d + 3*d**2 + 0*d**2 + 1107 - 1426*d**4 + 948 - 2259 - 2*d**2 wrt d.\nAnswer: -17112*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 g when three letters picked without replacement from pppg?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f - 22. Let c be k(7). Let h(s) = -s + 4. Let o be h(-12). Let b be (21 - o) + c + -2 + 1. Solve 0*j + b*j = 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -190*i**3*m - 37*i**2*m + i**2 wrt i?\nAnswer: -1140*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -24\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*u**5 + 87982139*u**4 - 4*u - 1308783 wrt u.\nAnswer: -40*u**3 + 1055785668*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + 1. Let w(h) = 4*h - 6. Let o(d) = -3*a(d) - w(d). Let p be o(-7). Find y such that -p + 10 - 2*y**4 + 2*y**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 14*o**2 + o**4)*(-6079*o - 3504*o + 2124*o).\nAnswer: -7459*o**5 + 104426*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.808922ug to grams.\nAnswer: 0.000005808922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1034.966 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -47 + 15?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/7)\/((-26)\/91)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 14 + (-90 - -39).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7192 and 145.\nAnswer: 35960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/7)*g*g*g**8*g)\/(g**(5\/2)*g*g**(-2\/13)*g) assuming g is positive.\nAnswer: g**(1237\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41244 is divided by 2290.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - 1 - ((71 - 50) + -38)) + (92 - 0)\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hicchchciqhiciccckih.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -303210 - 3?\nAnswer: -303213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 570137358?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 1:57 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.28 + 0.7. Let t = 797.08 + -797. Let s = z - t. What is s rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1147373 or -1147376?\nAnswer: -1147373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnnlwnnmmm. Give prob of sequence lm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136.0572 millimeters to nanometers.\nAnswer: 136057200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2\/4 - 26535*t\/2 - 704106225\/4 = 0. What is t?\nAnswer: -26535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 - 2*c + 1. Let o(q) = -q**3 - 51*q**2 - 61*q - 550. Let x be o(-50). Calculate r(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2+-33833534391\nAnswer: -33833534392.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 3*i + 3. Let j be l(-3). Suppose 0 = -v + j + 15. Suppose -b = -3*b + v. Calculate the greatest common divisor of 27 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -0.0875 (c) -2\/7 (d) 1\/5 (e) -3 (f) 6\/25 (g) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -9 (c) -0.5 (d) 30 (e) 2 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**3 - 2*z**2. Let p(o) = -o**2 + 4*o + 2. Let b be p(-1). Let i(y) be the second derivative of -y**5\/20 - y**4\/12 + 3*y. What is b*x(c) + 7*i(c)?\nAnswer: 2*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18861 by 5.\nAnswer: 18861\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 + 0*t + 0*t + (752*t**2 - 39*t**2 + 165*t**2)*(3 - 3 + t).\nAnswer: 880*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 8, -2\/3, -2\/11, 0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 111*g - 114*g + 30. Suppose 0 = -g*b + 751 + 269. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 + 66. What is the least common multiple of (-24)\/z*(-3)\/(-6) and 76\/12 - (-1)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.33 times -127121.9\nAnswer: 41950.227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51337?\nAnswer: 11, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -24*y + 28. Determine j(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 9*s**2 + 7*s + 5. Let g(n) be the second derivative of n**4\/12 + n**3\/6 + n**2\/2 + 136*n - 1. Calculate 5*g(z) - v(z).\nAnswer: -4*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(-69)\/45 - (-4 + -1). Factor 0 + r*j + 1\/5*j**2.\nAnswer: j*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 621.2388 meters?\nAnswer: 621238.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/288 and 79\/396?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 40. Let k(g) = 10*g. Let v be k(1). Calculate the greatest common factor of x and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.22 + -0.44. Let v = 2.42 + u. Let o = v - 1. What is o rounded to 1 decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*y = 49*y - 5. Suppose -y*p + 5 = -20. Suppose 0 = -f + k + 10, -p*f - 7*k + 3*k + 68 = 0. What is the lowest common multiple of 8 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (191\/(32088\/126))\/((-6)\/52).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 4:10 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.27 * -1.46\nAnswer: -0.3942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 69823 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*f = f - 7005, 3*q + f - 4213 = 0. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/249 - -9751\/1992. What is the common denominator of (13\/(-78))\/((-2)\/(-148)) and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 981.2576t?\nAnswer: 981257600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 281\/610 + -129559\/234240. Calculate the common denominator of -37\/1408 and f.\nAnswer: 8448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -2\/17, 3\/8, -2, -1\/48?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4\/9 (b) 2\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224578713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2164150125 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2, -6*r - u = -4*r - 43. Suppose -q - 2*n - r = -5*n, 0 = 4*q - 5*n + 67. Let y = q - -35. Calculate the least common multiple of 16 and y.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 10 = 14. Let h(a) = -3*a - 2. Let v be h(z). Let b be (106 + -112)\/((-3)\/2). Solve v + b = 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*q**3 + 11*q**2 + 361*q - 242263 wrt q.\nAnswer: -9*q**2 + 22*q + 361","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**7\/735 + d**6\/420 + 287*d**2. Let v(b) = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -49. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1713 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, p: 2, s: 1}. What is prob of picking 2 p, 1 s, and 1 v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(13) - (0 + sqrt(52)\/sqrt(4))) + sqrt(13)) + 1.\nAnswer: 1 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 9 = 2*r, 2*r - 4*r + 3*b = 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4 = 3*q. Suppose 3*y + 13 = q. List the prime factors of -2 - ((y - 0) + -11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**3 - 174 + 2*a**3 + a**2 + 0*a**3 + 15*a - 3*a.\nAnswer: 2*a**3 + a**2 + 12*a - 174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26b + 29?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 - -37. Which is the second biggest value? (a) -0.16 (b) 0 (c) 0.4 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 7. Let v be f(-3). Suppose v*h - 3*h - 15 = 0. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and 1.0201.\nAnswer: -10.201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 + -27. Let p(q) = 2*q - 25. Let t be p(a). Differentiate 24 - 12*u**3 + 5*u**3 + 4*u**t with respect to u.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -330748 + 182?\nAnswer: -330566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012191 to 6 dps.\nAnswer: -0.000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times 0.7?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -9*p**3\/2 - 91*p**2\/2 - 4*p + 2. Differentiate y(n) with respect to n.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-66)\/4)\/((-2)\/(-4)). Let u = 73 + p. Let c(z) = 8*z**2 - z + 1. Let h be c(1). What is the greatest common factor of h and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 14*z - 22. Let k = 30 + -41. Calculate the remainder when b(k) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71950, 73812, 75674, 77536?\nAnswer: 79398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 920 and 661204?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 33*v**2 + 7*v - 2. Let c(h) = 17*h**2 + 4*h - 1. Let k(i) = -7*c(i) + 4*d(i). Let m(a) = -20*a. What is m(k(x))?\nAnswer: -260*x**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12849424 - -26863047. Let n = d + -14013741.00027. Let t = n + 118. What is t rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*m + 9, 5*z = 4*m - 37 + 10. Let w(n) = n. Let a be w(z). Sort a, -4, -1 in ascending order.\nAnswer: -4, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -148*v + 13 + 8 + 82*v + 83*v. Let x = 108 + -99. Let g(i) = -4*i - 5. Calculate x*g(r) + 2*o(r).\nAnswer: -2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 - -45. Solve -2*x + n = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 16 = 6*y + 3*h, 0 = -2*y + h + 2. Suppose 7*p + 32 = -4*u + y*p, -2*u = -4*p - 10. Sort u, 45, -2 in increasing order.\nAnswer: u, -2, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 6*r**2 - 6*r + 7. Let o be v(5). Calculate the highest common divisor of 1 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(133)*4*-5)\/(4*sqrt(35)\/sqrt(5)).\nAnswer: -5*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*r = 5 + 2, 2*r = -2*h + 16. Solve -h*l + 3 = -4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*k**2 + 112*k**2 - 4 + 1 + 2894*k**3 + 3 - 2887*k**3.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 322 divide 1033005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 3*h**2 + 8*h + 25. Let b be d(-2). Put -4, b, -5 in ascending order.\nAnswer: -5, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + h + h)*((4 - 1 - 1)*(-2 + 3 + 0) - 2 + 4 - 4 - 5 - 12 + 4).\nAnswer: 13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 225 - 225.000000705. Round f to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 10, d: 1, o: 5, z: 4}. Give prob of sequence ggg.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 233577 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1888214?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/23, 22\/17.\nAnswer: -0.1, 1\/23, 22\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4 = 5*w, 5*w - 34 + 12 = -4*c. Suppose 0*k = 4*k - 8*k. Suppose k = -4*i + 2*o + 2, c*o = -3. Solve i = 3*r - 0*r - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n + 3344 = -15*n + 92*n for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27054*f = -27161*f - 1926 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 10. Let b(j) = -8*j - j**w - 20 + 9 + 7 + 7. What is b(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5\/7))**(9\/10) assuming v is positive.\nAnswer: v**(-9\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-35))\/((-78)\/((-53040)\/(-748)))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**2\/5 - 6156*r\/5 - 6152\/5 = 0 for r.\nAnswer: -1538, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -135*q**2 - 1480*q + 70. Determine g(-11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*d - 32*d = -5*z - 45, -3*d = 4*z + 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -32. Let g be (30\/(-18) - -2) + (-23)\/(-3). Solve n = y + y - g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 26*o - 166. Let d be 3\/(-4)*(-320 - -332). Determine j(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1114 and 21\/2595826.\nAnswer: 1445875082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1266012 is divided by 29.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36696 by 9174.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 3*w - 2. Suppose 0 = k - 3*r + 13, 7*k - 3*k + 5*r - 16 = 0. Let c be p(k). What is m in c - 4\/11*m - 2\/11*m**2 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/21, -8.9, -2\/5, 506, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19.6 - -2.6. Let m = 37 + f. Let b = -20.38 + m. Round b to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2955129941 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15149757 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (2 - 3 - -4) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 - 4*a**2 + a**2 + 0*a**2. Let l(x) = -11*x + 12. Let y(t) = t - 4. Let d(f) = l(f) + 2*y(f). What is z(d(s))?\nAnswer: -81*s**2 + 72*s - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 6:01 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002613406 to seven dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21163771.\nAnswer: 47, 450293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -86.50631 from 0.04667.\nAnswer: 86.55298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 2090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1103.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -149 - -289. Let c = -7838 - -7878. What is the highest common factor of d and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 + -6. Let l = g + -20. Solve 11 = -c + 3*p, -l = 3*c - 4*p - 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen fifths of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m + 29 + 9 = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 210072 - 210112.0011. Let y = a - -40. Round y to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54961*q - 109776*q = -54922*q - 1605 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 314 divided by -4354\nAnswer: -157\/2177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 17*r - 28 = 21*r, 5*r + 40 = 5*u. Solve 0 = 3*g - 2*w - 78 + 70, -2*w + u = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186313033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -6. What is the units digit of j\/22 + 171\/33?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**3\/2 - 4937557*o**2 - 59250738*o - 177752268 = 0. Calculate o.\nAnswer: -6, 9875126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18432 and 9024192.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 986.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 6*i - 1. Let o be s(5). Let n(z) = -2*z**2 + 25*z + 17. Let k be n(13). Suppose k*g - 4 = 2*j - 18, 2*j = 3*g + 12. Which is smaller: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*2)\/(-2*sqrt(7)*-3)*5 - (4 + (sqrt(3) - (-1 + sqrt(3)))*-6 + sqrt(3888)*2)**2.\nAnswer: -15556 + 874*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5022 divided by -18.\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y + 19*y = 51*y + 215*y - 20230 for y.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**7\/3 - i**4\/4 - 16*i. What is the third derivative of y(m) wrt m?\nAnswer: 840*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6279 - 6278. Sort 57.3, 4, -3\/5, -2, f in ascending order.\nAnswer: -2, -3\/5, f, 4, 57.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4 + 54*q**2 + 96*q + 45.\nAnswer: -3*(q - 5)*(q + 1)**2*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 296300 to the power of 1\/2, to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/11 in 6\/91, 2\/39, 0.4, -4.5, 6?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -793058 or -793056?\nAnswer: -793056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-3))\/(2\/(-9)). What is the third biggest value in -0.3, -13, q?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 658 and 836976?\nAnswer: 836976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 - 5*j. Let i(h) = -3*h**2 + 6*h. Let s(o) = -5*i(o) - 6*q(o). Factor s(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 6 = p. Let h be (-50)\/(-40)*(-1 - 6\/(-10)). Which is greater: p or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6401 - 6397. Which is the nearest to -2\/3? (a) j (b) 1\/2 (c) 0 (d) -81\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzeezzzezzzzzeez. What is prob of sequence ee?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30813977 is divided by 673.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 3971.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnj when three letters picked without replacement from {n: 3, r: 10, v: 3, j: 2}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-12)*-3 + (-6 - -7). Which is the closest to 1? (a) -3 (b) 1\/33 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*z**5\/13 + 604*z**4\/13 + 414*z**3\/13 - 352*z**2\/13 - 120*z\/13 = 0.\nAnswer: -1, -2\/7, 0, 2\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 968, 1934, 2900, 3866?\n\"Answer: 966*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -21192?\nAnswer: 21191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64539.024671 + 1.8.\nAnswer: 64540.824671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*x + 141*x**3 + 153*x - 75*x - 142*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 552.33 less than -0.6348?\nAnswer: -552.9648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -4*j - 10*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 - 7*w**2 - 5*w - 2. Let v(c) = c**3 + c**2 - c. Let b(a) = v(a) + z(a). What is the units digit of b(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 14562744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 6*r**2 + 38*r + 33. Calculate n(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 243683*j. Let w(n) = 71*n + 2. Calculate s(w(p)).\nAnswer: 17301493*p + 487366","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 7:59 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 9*p**2 + 3*p - 12. Let k be x(9). Let c = -3 + -1. Let z = c + k. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 135\/(-16) - 30\/(-10) and ((-31)\/3)\/((-8)\/6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218840908?\nAnswer: 2, 11, 13, 382589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in meters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 192415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 1\/60*k**5 + 0*k - 11\/6*k**3 + 0 + 9*k**2 - 1\/4*k**4. Let w be z(13). What is w rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -116*f**2. Let c(t) be the first derivative of 2*t**3\/3 - 95. Determine c(o(i)).\nAnswer: 26912*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*w + 51283, 5*w + 27*d - 25*d = 51271. Suppose 2*r = 9*r - w. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v**2 - 8819. Let j(q) = 4*q. Give p(j(y)).\nAnswer: 64*y**2 - 8819","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1\/5)*a*a*a)\/a**(-3\/7))\/(a**(-3\/7)*a\/((a*a*a**(-6)\/a)\/a)) assuming a is positive.\nAnswer: a**(-82\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 1, -2 in ascending order.\nAnswer: -2, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -254 - -254 - (-1 + 1 + 6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5767?\nAnswer: 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -23020946.7 rounded to the nearest 10000?\nAnswer: -23020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 + (-117)\/(-81))*-33 and 30\/767.\nAnswer: 2301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/(-50))\/((-280)\/(-350)))\/((-4)\/(-85))?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62*s + 61*s + 5 + 8 + 12 + 3*s**5 wrt s?\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -877 - -1256. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2570 - -2581. Solve -18 + 51 = -c*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 3*l = 12. Let x + 0 + 5*x + 3 + 4*x**l - x**2 = 0. Calculate x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 1)*(-11263 - 9794 + 16927)*(-v - 3*v + 3*v).\nAnswer: -8260*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15285 rounded to three dps?\nAnswer: -0.153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 10*o**2 - 52*o + 40. Give t(-14).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 v, and 1 i when three letters picked without replacement from iuuvkqukuqukvkvu?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*-4 + 219 + 4 + -3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.55, 82, 4\/3, 0.1, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -33*w**3 + 167*w**2 - 3*w - 24. What is h(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7515.769cm?\nAnswer: 75157690000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 33769 to the nearest 1000.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 6*h - 45. Give w(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*2\/(-4)*(-69433)\/(-446355).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000414 rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -8. Let c(i) = 17*i**2 - o*i**2 + 10*i**2. Let b(p) = p**2. Determine b(c(u)).\nAnswer: 576*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41820138 is divided by 182.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1676584 and 1029?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o - 8. Let y be i(-3). Suppose 5*s = 2*s + 3*c - 87, -c - 133 = 5*s. Let x = s + 47. Calculate the highest common factor of y and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 3:48 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 1)*(-15639*n**3 - 1823 - 1008*n**5 + 1014*n**5 + 15639*n**3 - n**2).\nAnswer: 12*n**5 - 2*n**2 - 3646","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78)\/(-7*2\/(-63)*(-45)\/(-5)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5 - 35*b + 0 + 34*b. Suppose -g = 5*k - 5*g, -2*g + 6 = -4*k. Give a(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36520933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10332 - -2204000?\nAnswer: 2143113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*((-468)\/(-114) + -4 - (-17)\/19).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a54 - -1?\nAnswer: 4a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.9518 rounded to one decimal place?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6 - 18*i + 12*i + 7*i. What are the prime factors of l(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620) + sqrt(1620)*-4)\/sqrt(9).\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhk when three letters picked without replacement from kinivhvz?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**3 + 9*x**3 - 3*x**3 + x**4 + 4 - 2*x + 4*x as n*x + h*x**2 + c*x**3 + l + i*x**4 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 185445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 971970 or 1943939\/2?\nAnswer: 971970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 10*d**2 + 13*d - 13. Let a(p) = -2*p. Let k be a(-3). Suppose -78 = 3*r - k*r. Calculate the remainder when r is divided by q(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 24*j + 4*a + 186, 91368*j + 2*a = 91367*j - 43 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74726 (base 9) to base 8.\nAnswer: -140432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00458855 to four decimal places.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 91 = -12*t. Suppose -5*k + 2*k - 3*l = -21, -37 = -3*k + 5*l. Let p be (-2 - k\/(-4)) + (-77)\/(-28). Sort t, 2, p in decreasing order.\nAnswer: t, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 5*j + 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**4\/3 + 3460459*s**3\/3 + 1330528798704*s**2 + 511578565871272704*s - 2557926092720517120 = 0.\nAnswer: -1153488, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 0)*(-99 - 24*l + 191 - 93).\nAnswer: 72*l + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 18 = -123*q + 118*q, 5*q + 2*c - 17 = 0. Suppose k - 3*w - 31 = 0, -w = q*k - 5*w - 73. What is the highest common divisor of k and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 11.96, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3223 is divided by 212?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 94 = 4*c, -42 = -5*c - q + 81. Let j = -7 + c. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.948 - -0.052. Let i = 2502 + -2502. Which is the nearest to -25? (a) k (b) i (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 2)*(22 - (-1225)\/(-56)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*o + 31*o = -3*u - 12, -5*u + 15 = 5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/9, 215, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-20)*((-12)\/(-98))\/((-32)\/(-448)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.3 - 1.7. Put -3\/7, -4, x in descending order.\nAnswer: -3\/7, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w + 14. Does 11 divide r(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 2 + 0)*(-1 + 1 + 2*u) + 2*u - 13*u - 2*u - 4*u + u + 2*u)*(5*u**2 + 3*u - 3*u) as w*u + h*u**3 + g + n*u**2 and give h.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -2, 5, 13422?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 13. Which is the nearest to p? (a) -1\/7 (b) 1\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2845492 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - y - 7 = 0, 6 = 2*l - 2*y - 2. Let v = 144 + -1155\/8. Sort 4\/7, l, v.\nAnswer: v, 4\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 8:00 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-368)\/56 + 7 + 48358*(-176)\/(-28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + -110010001100100101110011?\nAnswer: -110010001100100101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 13 = 2*m. Suppose -5*q + l = 7 + 2, 5*l - m = -q. Do q and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)\/(sqrt(9) + (sqrt(99) - (sqrt(99)*2 - sqrt(99)))\/sqrt(11)))\/(4*-2*sqrt(9) + (sqrt(27)*1)\/sqrt(3)).\nAnswer: -sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29*d**3\/4 - 308403*d**2\/2 - 820024959*d - 961196626.\nAnswer: -(d + 10634)**2*(29*d + 34)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 95\/8 in -4, -0.4, -3\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 12:49 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - 9. Let m = 19 + b. Let h(o) = -4*o**3 - o - m*o**2 + 5*o**3 - 3*o**2. Let i(r) = r**3 - 5*r**2 - r. Calculate 3*h(s) - 4*i(s).\nAnswer: -s**3 + 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 2*d + 3. Let x(j) = 1. Let h(v) = u(v) - 3*x(v). Factor h(b).\nAnswer: b*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44970931*x**4 - 551567217 wrt x.\nAnswer: -179883724*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/2429860 and -51\/50.\nAnswer: 12149300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 532225 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 8:47 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*g**3 - 2*g + 5*g**3 + g**3 + 8*g**3 - 2*g**2 + g**3 + 11 to the form o*g + z*g**2 + r + j*g**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-260)\/12)\/((-7)\/21) and 55?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 952303967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-6) - (-20)\/21. Let k = -16\/33 + -2\/11. Let q be (6\/((-72)\/(-15)))\/(-2 + 7). Which is the closest to k? (a) q (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**3 + 3*h**2 - 246*h - 559. Calculate a(0).\nAnswer: -559","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00228151 to four decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2865*b + 2864*b + 4*c = 17, -8 = -2*c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -292, -587, -886, -1189, -1496, -1807?\n\"Answer: -2*j**2 - 289*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 315 = -3*k - 305, 2*k = -5*w - 35. Sort -18, -129, k in descending order.\nAnswer: k, -18, -129","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 26594305, 53188621, 79782937, 106377253?\n\"Answer: 26594316*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5326+12165.3\nAnswer: 17491.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4332 + 1941. Is (-1*2)\/((30\/r)\/5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 726451.\nAnswer: 11, 66041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**4\/4 + 14*u**3\/3 + 2*u**2 + 2*u + 22. What is the remainder when r(14) is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 + 29. Let x be (-6)\/21 - (-6)\/k. Let b be (6\/1 - 8)*2\/(-8). What is the closest to 0 in -2, b, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.26 + -9.66. Let y = 159 + -798\/5. What is the closest to y in s, 0.1, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.721454l?\nAnswer: 5721.454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1373*l + 31 = -1378*l - 2*s, 3*s = l - 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 23*n**2 - 25*n - 32. Suppose -3*r - 2314 = -5*i - 2434, -4*r - 72 = 3*i. Give q(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1012 - 0.0012. Which is the closest to -3? (a) 0 (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2097, -4191, -6285?\nAnswer: -8379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mgmcmhccmcmhmgmmc. What is prob of picking 3 c and 1 m?\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*a + 44 + 79 = 0. Solve 4*g + 13 = 2*l + 3*l, 3 = a*l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*h**4)*(-5 + h + 2*h - 2*h).\nAnswer: 2*h**5 - 10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 + 4*w + 4 - 4*w + 3*w - 2*w**3 - 3*w + (1 + 3 - 3)*(26*w**3 - 8 + 8).\nAnswer: 23*w**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27.9 + 23.9. What is the nearest to r in 1\/5, 4, 0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sinvsniuiaiu. What is prob of picking 2 n?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 165\/(-57) + 110\/(-1045). What is the biggest value in -16, -4\/5, v?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 19*o**2 - 107*o - 291. What is f(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -0*p - 8. Let b = 31 + -29. Let k(s) = 105*s + p*s**2 - 5*s**b - 105*s. Let a(w) = -12*w. Calculate k(a(g)).\nAnswer: -432*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 + -27b?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56.58 - -56. Let n = v - -0.522. Round n to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26 - -14?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*((-72)\/4)\/3*(-2)\/24.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isisiisiiis. What is prob of sequence iss?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 6\/559, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**2 + 3. Let r(n) = -n**2 - 1. Let m(y) = -5*y + 13. Let g(k) = -2*k + 6. Let b(s) = 7*g(s) - 3*m(s). Let h be b(-4). Calculate h*i(f) - 3*r(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*c + 4*c. Suppose 0 = -3*f - 3*s + 60, c*s + 80 = 4*f + 5*s. Suppose -r + 3*r = 2*q - 154, 0 = 4*r - f. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 292*p**3 + 320*p**2. Let r(t) = 3*t**3. Let f(j) = -8*r(j) - z(j). Find the third derivative of f(c) wrt c.\nAnswer: -1896","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3146) - sqrt(3146))\/sqrt(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 40\/25 - 10\/(-25). Suppose -13*v - 41866 = -q*v. What is the tens digit of v\/33*(-6)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4836 + 4830. Let s(c) be the first derivative of -c**4\/4 - 2*c**3 - c**2\/2 - 7*c + 2. What is s(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 240?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1143146 by 208.\nAnswer: -571573\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-219 - -217) + (61 - (7 - 7))).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*n + 1589 = 6*n + 12340 - 176 for n.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*g*p*x - g*p*z - 13*g*p + 7*g*x + g*z + 44*p*x*z + p*z + 3*p - x*z + 6*x wrt g?\nAnswer: 8*p*x - p*z - 13*p + 7*x + z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**7\/6300 + l**6\/225 - 7*l**5\/300 + 3*l**4\/2 + 19*l. Let y(v) be the third derivative of u(v). Solve y(q) = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -208\/4293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-2)\/(-14) - (-36 + 52440\/1540)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3b50 (base 15) to base 12\nAnswer: -7403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 183, 2, 711, 1 in ascending order.\nAnswer: 1, 2, 3, 183, 711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from wwdheyeewy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*d + 75049 + 585, 25178 = w + 5*d. Is w a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8.769572m?\nAnswer: 876.9572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -195 - -223. Let t = -90 + 98. What is the least common multiple of y and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65115 rounded to the nearest one thousand?\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7562124 to the power of 1\/2, to the nearest integer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3617 - 11*w**2 + 1808 + 1809 + w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 11:50 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34090*j**4 + 4376?\nAnswer: -136360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58439446 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24035416?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -315\/11 - -4227\/143. Sort t, 16, 1\/3 in descending order.\nAnswer: 16, t, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m*m*m**7\/m)\/m)**(-19))**1)**(1\/2))**(-3\/17) assuming m is positive.\nAnswer: m**(399\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 348628 * 2\nAnswer: 697256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-52)\/78*15\/(-2). Solve -4 = -3*p + h*r, -18 + 4 = -5*p + r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 4\/6)\/(605\/(-726)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 13. Let r = -0.4 - -0.6. Let q = -142 - -141. What is the second biggest value in q, r, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s - 13*s = -37*s + 88 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 1:53 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2887955451 to the power of 1\/3, to the nearest integer?\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 6196*j - 4837*j + 18239*j in the form k + o*j and give o.\nAnswer: 19598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -106*x + 7686. What are the prime factors of o(0)?\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 0.004, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4904*l**2\/5 - 3142*l\/5 + 402\/5.\nAnswer: -2*(4*l + 3)*(613*l - 67)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1214 by -288560.\nAnswer: 607\/144280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 137722 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 25*i + 3. Let y be p(8). Let w = -43 + y. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2 = -18. Let k be 2 - (-2)\/(-3 - p). Suppose -s - 3 = -3*j, k*s - j - 18 = 25. Solve 3*l + 14 = -r, -3*r + 5*r = -2*l - s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081552 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 0*w - 4*w + 2*w - 3*w. Let o(n) = -2*n. Let q(b) = 3*h(b) - 8*o(b). Let s(u) = 14*u**2. What is q(s(a))?\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 4*p**6\/15 - 191*p**5\/20 - p**3\/6 - 1143*p**2\/2 - 9*p + 19. What is the second derivative of h(l) wrt l?\nAnswer: 96*l**2 - 1146*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 96483 - 285887. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45556.\nAnswer: 2, 7, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 + 14*t - 10. Let m be p(-8). Let s = m + -24. Let u = 245 + s. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 11*j**4\/24 - 17*j**3\/6 - 9*j**2\/2 + 42*j. Let r(b) be the first derivative of c(b). What are the prime factors of r(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 5*h + 253*h = -73*h - 16450 for h.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c. Suppose r + 4 + 1 = 0, -3*y - 2*r + 38087 = 0. Let z(s) = y + 154*s**2 - 12699. Give b(z(m)).\nAnswer: 154*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -11*l**3 - l**2 - 2. Let w(g) = g**2 + 2*g - 1. Let i be w(-1). Is k(i) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.02, 5, 3\/1721 in descending order.\nAnswer: 5, 3, 3\/1721, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 770892612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18173 + -18176. Which is the third biggest value? (a) 0.19 (b) -2\/15 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 671417325 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5711 + 10870 = 2046*h + 51367 + 79790 for h.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*x + 0*x + 3*x + (0 - 4 + 2)*(-3*x + x + 6*x) + 2*x + 2*x - 2*x - 165*x + 75*x + 81*x)*(2*x + 1 + 2*x - 2*x) in the form z + t*x**2 + s*x and give t.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 + 26 - 13 - 44 + (3*q + 2*q - 4*q)*(629 + 13*q**2 - 629).\nAnswer: 11*q**3 - 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173602 is divided by 629?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -51042 and -51040 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 508 - 514 - -9*(4\/(-3) - -2). Let f = -5 + 14. Solve u*q + 3*q - 14 = 4*n, 0 = -n - 2*q - f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33976?\nAnswer: 2, 31, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 9489940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + 1177*f**2 + 3775*f**2 - 2996*f**2 in the form s*f + y + i*f**2 and give i.\nAnswer: 1956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 10:31 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/198 and -37\/275?\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40314 - -40312. Let m(r) = 45*r. Let k(l) = 46*l. Calculate o*k(j) + 3*m(j).\nAnswer: 43*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1033, 7923, 26693, 63283, 123633, 213683?\n\"Answer: 990*j**3 - 40*j + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**4\/3 - 8*r**3\/3 - 11*r**2\/3 + 20*r\/3 = 0. What is r?\nAnswer: -5, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u + 2. Let s be 17\/2*(-1 - -3). Let f = -13 + s. What is the tens digit of x(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, r: 3, e: 1, n: 1, j: 5, c: 1}. Give prob of picking 1 j and 1 b.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 24*r**3 + 6*r**2 + 7*r - 6. Let k(s) = -49*s**3 - 11*s**2 - 13*s + 11. Let u(j) = 4*k(j) + 7*l(j). Is u(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 6*y + 10. What is j(-9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7318 * 0.14\nAnswer: 1024.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -0.7. Let v be 4\/(-70)*-5*(-8 + 7). Put u, v, -1 in ascending order.\nAnswer: -1, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3.2. Let q = -380 + 377.982. Let s = -0.018 - q. Which is the closest to 2\/9? (a) i (b) s (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 3 = 13, -3*j - 17 = -2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -22\/3143?\nAnswer: -22\/3143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 809185236?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00071700235 rounded to 7 decimal places?\nAnswer: 0.000717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -382237*31.\nAnswer: -11849347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 104065115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 208028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**6\/168 - y**5\/140 + 34*y**2 - 7. Let t(v) be the second derivative of k(v). Determine a so that t(a) = 0.\nAnswer: -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/18)\/(((-2)\/146)\/(294\/(-98)))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 82243295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (2 - (-6 + 5)) + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 - 47 = 5*z. Let i(r) = -r + 14. Let b be i(12). Suppose z*g = b*g. Solve 0 = o - g*o - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 7 + 32*x**3 + 67 + 45*x**4 + 84*x**2 - 43*x**4 + 136*x - 10*x**3 + 6 = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1569120, -3138250, -4707380?\n\"Answer: -1569130*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -15 - 3\/80*h**5 + 0*h**2 - h - 9\/16*h**4 - h**3. Let a(y) = 0. What is y?\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1404304 (base 5) to base 13.\nAnswer: -100b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14491491 and 858381.\nAnswer: 246355347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 85180*c - 2132625.\nAnswer: 5*(c - 17061)*(c + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4810375*k**3 - 4810381*k**3 + k - k.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2620, 10541, 23760, 42277, 66092, 95205?\nAnswer: 129616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 2)*4 - (-2 + -102) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from yymmmoy?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.359 - 172.359. Let v = l - -172.0000137. Round v to six decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -810, -842, -874?\n\"Answer: -32*w - 778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -398 + 400. Let b(q) = q**3 - 7*q**2 + q + 25. Let w be b(6). Put l, w, -5\/3 in ascending order.\nAnswer: w, -5\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 271493 + -821408\/3. Let z = 2335 + g. Calculate the common denominator of (4 - 1)*(-36)\/(-10) and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3)\/(n*n**(-6\/17)*n))\/(n**7*n**(-2\/7)) assuming n is positive.\nAnswer: n**(-3223\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 35*(204\/(-90))\/(-34)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12205 + -12205.2. Let n be (-4)\/6*(-1)\/2. What is the smallest value in 2, n, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014202355 rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*p + 141*p + 23 = 10*i - 13, 5*i - 4*p = 42 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (9 + -9 - -3) - 64\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 34 = -5*g, -53 = -8*g - 2*d - 26 - 81 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -1\/3*s**3 + 0*s**2 + s + 2. Let p be g(2). Is -3 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-12))\/(10\/20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*u - 0*u + 25280. Let z = -915 - u. What are the prime factors of z?\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41 or -0.3?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**8\/6720 - u**7\/2520 + u**5\/30 + 11*u**4\/24 + 13*u**2. Let t(c) be the second derivative of q(c). What is t(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w - 6 - 1 - 18 + 5 + 20.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -30*m - 2465. Give z(-82).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 3 (c) -2 (d) -0.3 (e) -74 (f) 126\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -326.641 rounded to 0 dps?\nAnswer: -327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 5:04 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*sqrt(684)*-5 - (-4*(-1 + -2*sqrt(684)))**2.\nAnswer: -43792 - 324*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10204*f = -10221*f - 68 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010111 (base 2) to base 6.\nAnswer: -411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = s - 417, -4*l + 1439 = -4*s + 1091. Solve l*q + 35 = 77*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*u - 12, -12*t + 2*u + 10 = -9*t. Suppose -4*f - 2017 = m, t*m + 491 = -2*f - 535. Let z = 38 + f. Round z to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 9*a - 2. Suppose -59 + 9 = 5*k. Let b be -1 + (17 - -2) + 1. Let m = k + b. What is v(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/109528 + -862553\/2190560. Find the common denominator of m and 27\/112.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 + 21*u - 506. Let n be v(-22). Sort n, -4, 1, -5, -171 in decreasing order.\nAnswer: 1, n, -4, -5, -171","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3 - 7724*c**2 - 69282*c + 277416 = 0. Calculate c.\nAnswer: -3853, -12, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10939 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: Four letters picked without replacement from kwkkkkwk. Give prob of picking 1 w and 3 k.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*o - 87*o - 34*o)*(-4 + 3 + 4)*(-o**2 + 5*o**2 - o**2 + 5 - 2*o**2 - 5 + (-2*o + 2*o - 7*o)*(0*o + 2*o - 4*o) + o**2 + 3*o - 3*o).\nAnswer: -4656*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -23220852 and -0.05?\nAnswer: 23220851.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1548450658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 - (-16 - -17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 2*p**2 + 1. Let j be q(0). Let u(a) = -2*a**3 - 2 - 8*a**2 + 6*a + 3*a - j - 1. Let r be u(-5). Which is smaller: -2\/57 or r?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**2 - 216*z + 4397 + 216*z - 4397.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6085 <= -1852\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2359*y. Let b(s) = 158. Let a(f) = -2*f - 316. Let d(o) = a(o) + 2*b(o). Determine u(d(x)).\nAnswer: -4718*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 303*x**2 + 92*x**2 + 171*x**2 + 58*x**2.\nAnswer: 624*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1659 - 2640 = -1433*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -3, -81, 0.025 in increasing order.\nAnswer: -81, -27, -3, 0.025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2271*k - 3518*k - 69832 for k.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, 1, 0.02, 0.4, -2717 in increasing order.\nAnswer: -2717, -0.8, 0.02, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3949\/582025 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - -8 - (0 + 5) - -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.2, -4, 4\/17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66030*t - 1 - 6 + 7.\nAnswer: -66030*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 129 + -127. Suppose d*z = -z + 1227. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1378603263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*q = 19080, 0 = n + 28*q - 29*q - 19086. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 44?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 31*j + 173. Let i be b(24). Put i, 58, -3 in decreasing order.\nAnswer: 58, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 990 + -96. Suppose -899*q + 15095 = -j*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 5\/(90\/6)*21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + (2 + -53 - (119 - 147)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*c = 107*c - 90233. Calculate the remainder when c is divided by 161.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5750291938 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 29 = w + 5*p, 2 = -2*w + p. Let h be (-1057)\/(-22) + (-9)\/(-18) - 0. Let a = h + -2769\/55. Which is bigger: a or w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6435 = -91*t + 219*t + 457*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11 - (10644\/(-15))\/((-10)\/(-425))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40444 or -40443?\nAnswer: -40444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.48899 millennia in decades?\nAnswer: 1648.899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -1\/30 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 + 1)*(-v + v - v) + 1 + 2*v - 1 + (v + 0*v - 3*v)*(-3 - 5 + 4) to n*v + o and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -9 (c) 0.1 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*w + 2*w. Let z be (-1)\/3 - w\/(-6). Let m(x) = 3 - 4*x**3 + 2 - 2*x**2 - 4. What is m(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028494319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*k - 8*k + 15*k)*(-5*k + 2*k - 3*k)*(2 - 2*k - 2).\nAnswer: -144*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214207*x**3 - 163 + 28468*x**3 - 154 + 317.\nAnswer: -185739*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25.84 - 28. Let b = 0.24 - r. Let t = b - 0.4. What is the third biggest value in 3, t, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 6*p**4 - 4*p**3 - 35*p - 80*p**2 + 2*p**3 + 79*p**2 + 105*p - 4 as b + r*p + i*p**4 + d*p**2 + z*p**3 and give r.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/1175 in -9, -5, 24\/17, 3, 8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**2. Let l(b) = 2958027*b**2. Determine a(l(z)).\nAnswer: -34999694930916*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, w: 1, f: 3, g: 5, p: 2}. What is prob of picking 1 g, 1 f, and 1 q?\nAnswer: 15\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 + 2 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 312984136 to the power of 1\/2, to the nearest integer?\nAnswer: 17691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 times 0.8?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -1, 0.2, 1\/2, 59.2, 2\/3, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3 - 5.3. Which is the closest to 0? (a) o (b) 0 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(700) + -1)*3*6 + -1)**2.\nAnswer: -160200*sqrt(7) + 5677921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6183657.\nAnswer: 3, 687073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/110*(((-32)\/(-48))\/((-8)\/18) + 10).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -16*p**2 + 2*p - 1. Let h(c) = 5*c**2 + 17*c - 99. Let g be h(6). Let v = g - 182. Determine z(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31 and (-338)\/(-60) + 8\/12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 18*u - 34. Let o(i) = i**2 + i - 1. Let b(l) = -4*o(l) + 2*q(l). Factor b(p).\nAnswer: -4*(p - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2 - -1121409.6.\nAnswer: 1121408.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 188 - 37. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4742 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -6. Suppose 5*l - 4*i = -105 + 258, 0 = -5*l + i + 162. What is the highest common divisor of v and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 0 - 1\/12*j**5 - 4*j**2 + 0*j + 0*j**3 + 0*j**4. Let i(h) = -h**2. Calculate i(s(f)).\nAnswer: -25*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -t**5\/20 + 5*t**4\/4 + 8*t**3\/3 + 5*t**2\/2 + 138*t. Determine w(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w - 5*w + 2*w)*(-2*w - 2*w - 4*w) to p + a*w**2 + f*w and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p**3*q - 476*p**3 - 3*p**2*q + 145*p**2 + 589*p*q + p - 7*q + 2 with respect to q.\nAnswer: -p**3 - 3*p**2 + 589*p - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000038478564 rounded to 6 decimal places?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -14 - 15 - -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13692 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 6. Let d(c) = -7. Calculate -3*d(u) + 4*h(u).\nAnswer: -4*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**5\/20 + k**2. Let d(u) = 6*u**2 + u. Let j(x) = -x**3 + 76*x**2 + 79*x - 149. Let w be j(77). What is w*b(q) + 2*d(q)?\nAnswer: -3*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 48*u**2 + 102*u - 101. Let w be ((-70)\/10 - 38\/(-6))\/((-14)\/1050). Determine t(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**2)**(1\/50)\/(f\/f**(-2\/13)*f*f**8))**(-9\/5) assuming f is positive.\nAnswer: f**(29583\/1625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 - -49. Suppose -5*o + 268 + 12 = 0. Let u = o - a. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 4*d - 2*d)*(-130 - 202 - 69)*(3*d**2 + d**4 - 3*d**2).\nAnswer: 2005*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 3*z**2 + 3*z - 3. Let p be (13\/2)\/(2\/(-4)). Let y = 9 + p. Let a be l(y). Solve -r - 3 - a = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -6*c**2 + c + 1. Let v be -1 + 7 + (-63)\/21 - 6. What is the units digit of t(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-399)\/(-5) - 1\/(-5). Suppose 0*c = 4*c - y. Solve c = -5*a + a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -4*v**3 + 15608*v**2 - 6372716*v + 12683032 = 0?\nAnswer: 2, 461, 3439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2143 + 280735\/131. Let d = g - 135\/262. Suppose 25 = -5*p - 5*b, -p + b = -b - 10. What is the second biggest value in -0.4, p, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 4*a + 2*k = -91, a - 4*k = 47. Let s(x) = 3*x**2 - 11*x + 5. Let u be s(4). Calculate the greatest common factor of a and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -4*r - 18, 0 = 33*x - 36*x - 5*r - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 7*y**2 + 2*y - 2. Suppose 4*p + 2*x = -0*x + 30, 2*p = x + 13. Determine h(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19504\/159)\/92*((-93)\/(-2))\/(-1).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155272 is divided by 213?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 534 = 24. Suppose 0 = -o - 4*o + k. Suppose -3*v + 8*v - 43 = -3*z, 2*v - o = -4*z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 3. Let k(t) = -t**2 + 23*t - 37. Let d be k(21). Determine i(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -34?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/112 and 19\/268?\nAnswer: 7504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 9\/5 - 2. Let h be (-8)\/60*(-5)\/3. What is the closest to 0.1 in k, h, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2334055 - -3033?\nAnswer: 2341132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**2 + 0*m**2 + 11*m**2 - m**2 - 35*m**3 to g*m + w + i*m**2 + b*m**3 and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -9\/2 (c) -0.2 (d) 0.4 (e) -3 (f) 6\/7 (g) -352\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3 - 9*b**2\/2 = 0. Calculate b.\nAnswer: 0, 9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u - 2. Let x be (-10)\/6 + ((-4)\/(-3))\/(-4). Let q be w(x). Solve 5 = 5*v + 4*c, 0*c + 4 = q*v + 4*c for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 905920 divided by -452960.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.14.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-1 + 2) - (-156 + 84)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122481913?\nAnswer: 199, 211, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 379710, 1518751, 3417114, 6074799?\nAnswer: 9491806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 52314.53 days?\nAnswer: 4519975392000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3\/7)\/w)\/w**(1\/3))\/((w**5*w)\/(w**(-3\/2)\/w))*(w**(-2\/7)*w)**(-2\/9)*w**(-2\/3)\/w**(-2\/5) assuming w is positive.\nAnswer: w**(-6733\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j = 12 - 84. Suppose 0 = -9*v + 13*v - 5*z - 162, j*v = 4*z + 121. Calculate the remainder when 214 is divided by v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d6 - 1c?\nAnswer: b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 7*b**2 + 6*b + 2. Let s be k(-4). Let o = -17 + s. Calculate the smallest common multiple of o and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 + -7. What is the remainder when 2 - (p\/1 + 1) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19849852 a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141304 (base 6) to base 7.\nAnswer: 53512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -6\/79 (c) 7.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (60\/(-16) - -1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 15, u: 4}. What is prob of picking 2 u and 1 z?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*y - 8. Let z(s) = -s**3 + 3*s**2 + 3*s + 3. Calculate z(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -515, -1025, -1535, -2045, -2555, -3065?\nAnswer: -3575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -1\/3*n**3 + 0 + 0*n**2 - n. Let w(m) = 3*m**2. Give p(w(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3233\/3, -0.23, 0.026?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -30797*s. Let b(w) = 21*w. What is y(b(j))?\nAnswer: -646737*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f + 1. Let o be g(-4). Suppose -2*t + 2*r - 22 = 0, -3*t - o = -t - r. Let d = t + 116. What is the remainder when d is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14, -9, 22, 97, 234, 451?\n\"Answer: 3*c**3 - 5*c**2 - c - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -426*s + 6928. Calculate b(16).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 143010.5 grams?\nAnswer: 143010500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -2*c + 4*u, -2*c - 78288 = 2*u - 78276 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = g + 12. Suppose -5*s - 28 = -19*s. Put s, g, -5, 4 in descending order.\nAnswer: 4, g, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.21 - 0.21. Which is bigger: n or 1\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 10. Let k be (-2 + a)\/(6\/(-12)). What is the nearest to -0.1 in -0.2, 0.1, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2211211 (base 3) to base 13.\nAnswer: c37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2358 and -30.\nAnswer: 7.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24405 plus 2?\nAnswer: 24407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2511 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 551028.6 nanoseconds to hours.\nAnswer: 0.0000001530635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 24300968, 48601934, 72902902, 97203872, 121504844, 145805818, 170106794?\n\"Answer: z**2 + 24300963*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*h = -15, 2*x - 11 = -x + 4*h. Which is smaller: 16\/7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(1\/16)\/v))\/(v\/v**(-1\/4)) assuming v is positive.\nAnswer: v**(11\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -5.7.\nAnswer: 28.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 877.74 + -872.74. Let o be 242\/(-5) - 6\/(-15). Put -3, o, q in decreasing order.\nAnswer: q, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-216)\/54 - 2*-310.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2485*d = -2493*d + 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10505046 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1899702 and 0.8.\nAnswer: 1519761.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o + 8. Let v be b(8). Suppose 18*j = 14*j + v. Solve 1 = g + 4*w - j, -w + 2 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, x: 3, v: 2, a: 2}. Give prob of picking 1 a, 1 x, and 1 t.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 12638*x**2 - x + 14. What is v(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(99) - (-1 + sqrt(275))) + 2.\nAnswer: -2*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 292524 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -118*m**3 + 410*m**3 - 57693 + 52080*m - 21507 - 4*m**4 + 509*m**2 - 7317*m**2 = 0?\nAnswer: 2, 11, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (4 - 0)) + 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-315)\/49 + 3\/(12\/28))\/2. Let y be ((-1)\/(-2))\/(-1 - 0). Which is the nearest to y? (a) -2\/9 (b) s (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/7)\/(21\/(-2) - -11). Put 0.4, -1, 7, j in ascending order.\nAnswer: -1, j, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -1 - 1 + 2*m + 1 + 3. What is k(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (32\/6)\/(8\/12). Let s = t + -4. Solve 0 = s*k - 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.05 (b) -1\/7 (c) 0.05 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -230, 0.1, 29, 2, 4 in ascending order.\nAnswer: -230, -1, 0.1, 2, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddxxxxxdxdxxxdxxdx. What is prob of picking 1 x and 2 d?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5952669057 - -26941779338295\/4526. Let j = w - -5556\/31. What is the common denominator of j and 77\/8?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from esssasessssaeaas. Give prob of picking 1 a and 3 e.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 9)*(-1 + 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x - 3. Let l(i) = 3*i - 4. Give 4*k(u) - 5*l(u).\nAnswer: u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.75653 to 1 decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 y, and 2 i when four letters picked without replacement from {y: 2, i: 2, c: 1, p: 1, h: 1, g: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1587 + 460*l**2 - 1587 + 3*l.\nAnswer: 460*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/(-2))\/((-11)\/66). Let x = v + 87. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 1016 = 113*v - 1284 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 107 + -97.9. Let s = 9 - g. Which is smaller: 0.113 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 538 - 4070950.36019.\nAnswer: -4070412.36019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4046527*r**4 - 77532278*r**2 + 2?\nAnswer: 97116648*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4 + -3*(sqrt(147) - (2*sqrt(147) + 4) - sqrt(147)))**2.\nAnswer: 1092*sqrt(3) + 5461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x - 225*x + 2396060. Is 172 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, v: 1, z: 1, e: 2}. Give prob of sequence zer.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1295 + 1299. Solve 3*s + 6 = -0*a + 3*a, 0 = -3*a + 5*s + o for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 7:49 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**4\/12 + c. Let q(x) be the second derivative of -1\/6*x**3 + 0*x**2 + 0 - 3*x. Give h(q(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 2 = h - 7*s + 2*s - 70, 0 = -15*s + 11*s - 16 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -104?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-171)\/45 + 4)*5. Suppose -3 = -o + 1. What is the closest to 11 in o, 5, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkskkskkk. What is prob of picking 1 s and 3 k?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 619 in ascending order.\nAnswer: 3, 5, 619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/(-2))\/((-2)\/4). Suppose 0 = t*b - 29 + 9, -2*b + 108 = 5*o. Suppose 4*m - 150 = -m. Calculate the highest common divisor of m and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.4 (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1476 = j + 2*j. Let x be j + -4 + (4 - 3). Is 4\/12*0 + x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/3317814 and -67\/414358104.\nAnswer: 3729222936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 1825*p**8\/336 - 1418*p**5\/15 - 4078*p**2. What is the third derivative of q(z) wrt z?\nAnswer: 109500*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*k + 2*l, -4*k + 4*l + 32 = k. Suppose -24 + k = 5*s. Let q be 23\/12 - 1\/4. Which is the second biggest value? (a) q (b) -2\/3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/4)\/(6\/24). Let o(l) = l**3 - 7*l**2 + 6*l + 4. Calculate o(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2)*w**(-5\/6))**0*(w*(w*w**4)\/w*w*w**(2\/13))\/(w*w**1\/w*w)**35 assuming w is positive.\nAnswer: w**(-830\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63*-0.6.\nAnswer: 37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x. Let f(o) = -329744*o**2 - 14. Give f(k(b)).\nAnswer: -1318976*b**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1121*q - 862*q - 20612 = 37341 + 94738 for q.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6475*v - 1768. What are the prime factors of n(4)?\nAnswer: 2, 3, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**3 + f - 1. Let p be 4\/18 + (440\/45)\/1. Suppose 3*c + p - 13 = 0. Let a be i(c). Solve -a*o - q - 2 = -7, -4*q = 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 4*g + 0*g + (3 - 4 + 2)*(2*g + 0*g + 2*g) - 2678 + 2678 - 96*g + 0*g + g + 0*g.\nAnswer: -89*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/2 + 435*u**2\/2 - 864*u + 862.\nAnswer: -(u - 431)*(u - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79436 - 42319. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + z + (-z - 1 + 1)*(0 + 1 - 3) + 0*z + z - 2*z)*(-18 + 18 - 16*z)*(1 - 5 + 2).\nAnswer: 64*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 26 = -4*p, p + 2*g + 14 = -0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 263\/6*f**3 + 0 - 13\/2*f**2 + 8*f. Is s(16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -211 * 3.\nAnswer: -633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 2*r**2 - 2. Let p(j) = -j**2 + 4*j + 2. Let k be p(4). Let o(h) = -h**3 + h**2 + h. Calculate k*o(z) - l(z).\nAnswer: -z**3 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -16*c**2 - 107*c + 9. Determine l(-7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + l - 4 = 0, -h + 4*l - 1047 + 1055 = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (127*o + 106*o - 14*o)*(-11 - 4*o + 2*o + 13).\nAnswer: -438*o**2 + 438*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 134041.75053?\nAnswer: -134041.45053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) 8 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.169952 less than 4?\nAnswer: 4.169952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36852146 and 75097.\nAnswer: 405373606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -74*197\/(-788)*(-1)\/2*-4\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -8497*a + 6. Let w be q(-2). What is w rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-9))\/((-1)\/3). Find the common denominator of (2\/(-4))\/(y\/(-63)) and 3 - (-1)\/(-3)*14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, 779, 46 in ascending order.\nAnswer: -6, 3, 46, 779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i**2\/4 + 881*i\/2 + 126 = 0.\nAnswer: -2\/7, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 18*z**2 - 27*z - 1189. Determine t(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z - 10*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of ((-92)\/(-6))\/(4\/162)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -16*s + 3. Let j(i) = -32*i + 6. Let a(c) = 2*j(c) - 5*r(c). What is the remainder when 28 - (-32)\/(8\/(-2)) is divided by a(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ji when two letters picked without replacement from gjglklyjgigiiy.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide (-150)\/(-4)*4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/(-6) - (-2)\/(-6). Let r be 14 + 1 + 2\/(-2). Suppose -3*q - 3*t = -69, -8*t + 7 = -q - 3*t. Solve -4*n + r = 2*m + g, -q = -2*n + 2*m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**9\/52920 - p**8\/11760 + p**6\/1260 - p**5\/420 - p**4\/4 + 5*p**2. Let x(l) be the second derivative of c(l). Solve x(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7*r. Let c(x) = 3*x**2 + 2*x. Let n(d) = -16*d**2 - 11*d. Let u(p) = -11*c(p) - 2*n(p). Determine j(u(s)).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*s**2 + s**2 - 3*s**2)*(-3*s + s - s) + 2*s - 2*s + 2*s**3 + (-1 - s**2 + 1)*(-5*s + 3*s - s) to i*s + c*s**2 + b + f*s**3 and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10435849847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4680 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, c: 2, b: 4}. What is prob of sequence ybcc?\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -363 take away -1863173453?\nAnswer: 1863173090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 317\/341 + 5\/31. Let f(j) be the first derivative of -14\/33*j**3 - 6 + 19\/11*j**2 + n*j. Find q, given that f(q) = 0.\nAnswer: -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48\/270*9 - 3\/5. Let n be 1 - ((-2)\/(-3) + -1). Which is the closest to o? (a) n (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4263 = -39263. What is h rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12066429 to the power of 1\/2, to the nearest integer?\nAnswer: 3474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -35*r. Let d(p) = -p. Let y(v) = v**2 - 87*v + 1879. Let i be y(47). What is i*m(l) + 6*d(l)?\nAnswer: 29*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -1097.\nAnswer: -7\/1097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 2*f - 2. What is v(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 + 2*a - 13*a**2 - 4 + 169*a**2 - 22 as u*a + d*a**2 + b and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 26. Let x = 12 + n. Suppose 3*d - 3*g = x, 4*g - 1 = d - 2. Solve 0 = -a - 3 - d for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 4) + (-13 - -13) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 7:20 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**3*z*z*z**(1\/13) assuming z is positive.\nAnswer: z**(66\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - -6. Let m = -9 + g. Differentiate -4 + 9*c**4 + 1 - m + 1 with respect to c.\nAnswer: 36*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24244 and 120384?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(2\/9)*a))**20)**(-2\/23)*((a\/(a**10\/a))\/(a\/(a**(1\/2)\/a)))**34 assuming a is positive.\nAnswer: a**(-66781\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-1\/19)*b**43*b*b\/(b\/b**41)*b\/(b*b\/(b\/(b*b**(1\/7)*b))*b) assuming b is positive.\nAnswer: b**(11013\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**3 - 904*y**2 + 8314*y - 3. What is z(9)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693727652?\nAnswer: 2, 37, 71, 107, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4 + sqrt(147))*-3 + 4 + -5 + 2 + sqrt(147) + 2*-1*sqrt(147) + sqrt(147))**2.\nAnswer: -1932*sqrt(3) + 5821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39.43 + 1.61. Let i = u - 40. Let w = 1 - i. Round w to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 + 16 = -2*x - 5*t, 2*t + 92 = 4*x. Calculate the lowest common multiple of 22 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 42 - 38 = -4*r, 0 = -2*r - 2*s + 38. What is the remainder when 1468 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 78750.92 and 23310.4.\nAnswer: 102061.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.08 - -0.08. What is the biggest value in i, -1\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - b**2 + 4. Let x be g(0). Suppose 0 + x = 2*q. Let j(y) = -999999*y**2 - 3*y + 2. Let m be j(q). What is m rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -69 - 257?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(68)*-2*1 - sqrt(68) - sqrt(68)) + 5) - (sqrt(68)*-1 + -5 - 2*sqrt(68)*2)**2.\nAnswer: -1705 - 132*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 14*p + 4. Let b(z) = z**2 + 17*z + 24. Let f be b(-15). Does 4 divide p\/(-2) - 75\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 323.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**2\/2 - 1171*t\/2 - 1752 = 0.\nAnswer: -1168, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.632 - 29801.31.\nAnswer: -29798.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123698, -123695, -123694, -123695, -123698, -123703, -123710?\nAnswer: -123719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 20 + 10. Suppose 9*d - 20 = a*d. Solve 2*i = s, 0 = -d*s - i - 0*i - 22 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c8716 + -1?\nAnswer: 2c8715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5252 - -260?\nAnswer: 5532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -126.4 - -126. What is the biggest value in n, 1\/12, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**2 - 19*g**4 - 4*g + 5*g + 8 + 2*g**2 - 3*g + 18*g**4 + 2*g**3 to c + h*g + x*g**2 + t*g**3 + w*g**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17\/1511, 3, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*p - 12 = 0, -3*t + p = -6*t + 22. Let d(c) = c**2 + 2*c - 4. Let j be d(-6). Calculate the greatest common factor of t and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 10) to base 16\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -95765.00045 - -95763. Let u = -2.2 - -0.2. Let l = b - u. What is l rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*f + 38 = 0, -5*f + 16 - 6 = 0. Let y be (-6)\/((v\/3)\/10). Solve 5*c - y = -2*p + 4*p, -5*p - 7 = -c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2299 and 19565459?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -15684 divided by 6\nAnswer: -2614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2143310\/(-43875)*3\/1745. Let h = j - -29\/349. Is 1 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 5*s - 15 = 0, -4886*b + s + 10 = -4889*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -10, -58, -160, -334, -598, -970, -1468?\nAnswer: -2110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11003772?\nAnswer: 2, 3, 13, 70537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-6)*210\/(-100)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271917602.\nAnswer: 2, 11, 107, 115513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 144409877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -9*h**3 + 519*h**2 - 3720*h + 7152 = 0.\nAnswer: 4, 149\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 5*s + 3. Let u be c(2). Put u, 6, -1 in descending order.\nAnswer: 6, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 571362 and 6369978.\nAnswer: 4722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 10:27 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 32\/(-128)*(1 - (0 - -5)). Let j = 21 + -3. Let g = -13 + j. What is the second smallest value in -4, g, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 46\/40 - 4\/10. Let o = 0.7 + 6.3. Let q = o + -8. Sort q, h, 3.\nAnswer: q, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13955 + 14076. What is the remainder when 471 is divided by o?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -937.5 times 21\nAnswer: -19687.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 + 5*b + b + 27*b - 41*b + b.\nAnswer: -7*b + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r, 40*r + 354927 = 5*i + 41*r. Is i 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 305 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1394915790 rounded to the nearest 100000?\nAnswer: 1394900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1285520 >= -1285529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + ((-20)\/(-5) - 6). Let i be (0\/(x - 1))\/2. Suppose -174 = -4*m + 5*a, i = -3*m + 5*m - a - 84. Calculate the remainder when 162 is divided by m.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410201152693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14 (b) 3\/7 (c) 1\/10 (d) 142 (e) -2 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 3:32 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 276 + -279. Let x(j) = 6*j + 4. What is x(h)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 2\/7 (b) 5 (c) 89 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*z - 329 = -77 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.6 (b) -9 (c) 3 (d) -2.2 (e) -0.4 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13193 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*y + 87*y = 5*h + 15, 4*h = -5*y - 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48149317*i**2*y - 3*i**2 - 4141773*i + 2 wrt y.\nAnswer: 48149317*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times -88632\nAnswer: 886.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4519 less than 8?\nAnswer: 4527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v. Let f be k(-2). Let o = -5 + 7. Find the second derivative of 7*h + o*h**2 - 5*h - f*h wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -84.22 - -84. Let x = 2184.77580034 - 2184.9958. Let a = x - i. Round a to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -15, 2, -3 in ascending order.\nAnswer: -15, -3, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1372 - -788. List the prime factors of 1\/(-4) - i\/32.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 6*c + 10. Let a be j(6). Suppose 3 = 2*o - 3*h, -5*o + 0 = -3*h - 3. Suppose -4*s + a - 14 = o. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/3, 0.03, -21, -1\/8?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 8*o**2 + 4*o - 22. Let u(w) = -4*w**2 - 2*w + 12. Let q(i) = 7*u(i) + 4*x(i). Let h(a) = -11*a**2 - 6*a + 11. What is 6*h(d) + 17*q(d)?\nAnswer: 2*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45550*d**5*p**2 - d*p**2 - 36507*d wrt d.\nAnswer: 911000*d**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmi when three letters picked without replacement from {m: 11, i: 3}?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/369 - 4445\/6273. Let u = o - -519\/85. Let v = 1551 + -17078\/11. What is the common denominator of v and u?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7152015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 15*q**2 - 3*q + 5. Determine w(2).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 936 - 240. Suppose j = 5*m + 3*m. What is the common denominator of -37\/20 and (-1)\/3*53 + m\/(-58)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1239*p**3 + 1878*p**3 + 1880*p**3 - 2*p**2.\nAnswer: 4997*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 311208693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*m - 10 = -162*m. Solve -5*n = r - m*r - 6, -5*n + 26 = 4*r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/7 + (-3 - 4). Let b be y\/3 + ((-336)\/(-3))\/4. Suppose 0 = -d + 1 + b. Calculate the remainder when d is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 and 14\/47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/6)\/(2\/(-9)). Let z be 63\/a + 1\/(-4). Suppose s - 1 = 5*c, 8*c = 3*c - z*s - 25. Is 2\/9 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 2*k - k - 2*k)*(3866*k**2 - 3138*k**2 - 1750*k**2).\nAnswer: -1022*k**4 + 1022*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76 - 78. Let l = -1307\/9 - -145. What is the nearest to b in l, 4, -1\/17?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/(-15) + 1\/(-1). Is v smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 49 = 133. Suppose -k + 3*l = -r, 2*k - 6*k = -5*l - 52. Sort -3, k, -4.\nAnswer: -4, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1109 less than 0.5?\nAnswer: -1108.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = 12*c - 29. Let q(m) = -m**2 - 2*m + 5. Let b be q(-4). Put -1\/3, c, b, 0.2 in increasing order.\nAnswer: c, b, -1\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 1. Let t(i) = 2*i**3 - 1. Give 3*r(z) + t(z).\nAnswer: 2*z**3 + 3*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f = 11*f - 30. What is the units digit of 0 - 0 - 78\/f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65935 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.522, -2\/7, 2 in increasing order.\nAnswer: -2\/7, 0.522, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36790.91 years to centuries.\nAnswer: 367.9091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10744 = 1522*o + 2717*o + 17*o + 1116*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**4 + 492*y**3 + 12312*y**2 - 167168*y + 281088 = 0. What is y?\nAnswer: -72, -61, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 24 + 31. Suppose -i*u + 10*u = -4. Solve -z + u = -5*q, -5*q + 0*z - 7 = 2*z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -963, 2, 1, -4.\nAnswer: -963, -4, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(119) + sqrt(119))*1)\/(sqrt(42)\/sqrt(6)*6) + 5 + 5 + -2.\nAnswer: 5*sqrt(17)\/6 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2093\/(-13) - (-4)\/(-1). Let f = q - -261. Suppose 0 = -2*h + 5*h - f. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(1976\/(-1365)) + 13?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 361, 343, 311, 259, 181, 71?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63124*a - 62989*a - 11745 for a.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -12*g**3 + 12*g**2 - g - 21. Is s(-6) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1136*0.0758\nAnswer: -86.1088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (0 - -13 - 15 - 34).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 372 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 87*w - 113*w + 55*w - 2668. What is the remainder when w is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gzgg when four letters picked without replacement from {g: 12, z: 7}.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (39\/(-9) + 3)*36. Let d be (c\/2)\/4 - 3. What is the lowest common multiple of -3 + d\/(-4 - -3) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k - 2 + 18. Let f(m) = -m**3 + 2*m**2 + 2*m + 2. What is the lowest common multiple of f(k) and 44?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*w + 5080 = -251*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5075887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 0*o + 10*o**2 - 7\/24*o**4 - 1\/60*o**5 - 1\/2*o**3 + 0. Let v = -3 - 0. Calculate p(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 6*m - 1. Let o be v(6). What are the prime factors of (-1150)\/50*((-1 - o) + -9)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -102*f**2 - 12*f + 102*f**2 - 5*f**4 wrt f.\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1500 and 6338?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p + 4*p + 15*p - 4 + 4 - 2*p + (0*p + 0*p + p)*(0 + 0 + 1) - p + 2*p - 3*p)*(4 - 2*p - 4) as b + f*p**2 + y*p and give f.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -j + 15. Find m such that 0*m**4 + j*m**3 - 2*m**4 + 2*m**2 - 4*m**3 - m**5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -95 - -1043\/11. Suppose -3*g = 0, 0 = h - 4*h + 2*g. Put h, -5, r in ascending order.\nAnswer: -5, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2394622 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3096 = 11*p - 259. Let t = 658 - p. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 7\/3*a**3 + 0 + a**2 + 49\/24*a**4 - 3*a. Factor n(l).\nAnswer: (7*l + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11797493.\nAnswer: 11797493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 5*j + n = 6, 0 = 2*j + 3*n - 16. Let i(w) be the third derivative of 73*w**6\/120 + w**5\/20 - w**4\/8 - w**3\/2 + w**2. Is i(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 386*i**2*z**2 + 6*i**2*z + 3*i**2 + z**2 - 2 wrt z?\nAnswer: 772*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 158, -51, 5?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -14*w**2. Let f(t) = -62*t. Give f(j(m)).\nAnswer: 868*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46338721.\nAnswer: 11, 13, 23, 73, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22012 - 21760. What is the greatest common factor of 4977 and r?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/9)\/(6 - 273\/45). Suppose 5*m + 32 = 4*f, 0 = n*m + 5*f + 4 + 1. What is the third smallest value in 2\/83, m, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**4 - b**3 + b**2 + b + 1. Let i(j) = -18*j**4 - 24*j**3 + 9*j**2 + 15*j + 15. Let w(q) = -i(q) + 15*x(q). Factor w(g).\nAnswer: 3*g**2*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5424, 5405, 5372, 5319, 5240, 5129?\nAnswer: 4980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*o - 138*o + 420*o - 145*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -813, -810, -807?\n\"Answer: 3*d - 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80059344 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 83051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*c - 1458 = -2161 - 2772 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**5\/3 + j**4\/3 - 344*j**3\/3 + 1354*j**2\/3 - 740*j\/3 - 275\/3 = 0. What is j?\nAnswer: -11, -1\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 1:12 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 20 = -0*n. Suppose -5*q - 10 = -0*p - p, -n*q + 20 = 2*p. What is the least common multiple of (-2)\/(-2*(-2)\/(-6)) and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u - 3. Let z be p(-2). Let o be (z\/(-4))\/((-6)\/(-8)). What is the closest to o in 0.1, -1\/4, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*t + 4434 - 4626. Solve 5*g = 2*k - 97 + 96, 0 = -4*g + 5*k + t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-10)\/(q*q*q**(6\/13)\/q) assuming q is positive.\nAnswer: q**(-149\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2. Let l(o) = 34*o**2 - 1. Calculate l(i(f)).\nAnswer: 306*f**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2111 (base 3) in base 9?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((5*(sqrt(110) - (sqrt(110)*-2 + sqrt(110)))*-6)\/(sqrt(120)\/(sqrt(108)*-1)))**2*-5.\nAnswer: -1782003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-3))\/((40\/(-188))\/(-5)). Suppose -3*y - y + 1380 = 0. Let w = y + m. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17446 is divided by 182?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001138 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-150)\/90 - (-13502)\/(-24))*2*-2.\nAnswer: 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -400020 (base 5) to base 9\nAnswer: -18140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 7*a**2 - 5. Let s be f(-7). Let x = s + 1. What is x rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + x**2 + 3*x - 3. Suppose 2*v = 3*b - 77, 96 = 5*b - b - v. Calculate the remainder when u(-4) is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in -2\/7, -21, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 1\/6 (b) 0.21 (c) 0 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 111422098462143 from 3.\nAnswer: -111422098462140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/21749 and 61\/273?\nAnswer: 65247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.804 rounded to 1 decimal place?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m**(-3\/5)*m)\/m)\/m**(-1\/4))\/(((m**(-2\/23)\/m)\/m*m)\/m*m\/(m\/((m\/m**(-1\/3))\/m))))**49 assuming m is positive.\nAnswer: m**(162533\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 23488.92ns?\nAnswer: 23.48892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = p - 4*b - 16, -2*p + 4*b + 24 = 0. Let s = 87 - p. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = h, t - 6*t = -5*h - 20 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/2)\/(z*z**17*z*z))\/((z*z\/z**5)\/(z\/z**19*z*z)) assuming z is positive.\nAnswer: z**(-69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m - 5. Let p be i(-10). Suppose -2*j - 4*c + 26 = 0, p*j + 3*c - 16 = 35. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -138014?\nAnswer: 138013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88818*y = 5*o + 88815*y + 80, 0 = -2*o - 4*y + 98 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(484)\/((-3*sqrt(132) - sqrt(132) - sqrt(132))\/sqrt(12)))\/((sqrt(144) - (1*sqrt(144) - sqrt(144)) - sqrt(144) - sqrt(144))*1))**2.\nAnswer: 1811\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1.979721ng?\nAnswer: 0.000000001979721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10a64 (base 11) to base 15\nAnswer: -4ab6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3340926 and 2770524.\nAnswer: 113591484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.13 (b) -3 (c) 1\/3 (d) 3 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 241 + -236. Suppose 4*p + 1096 = z*u, p = -5*u - p + 1072. What is the highest common divisor of 24 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 c when three letters picked without replacement from xpxpixppncnxxprp.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 15*w - 5\/2*w**3 + 1\/12*w**4 + 0 - 3*w**2. Give q(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 < -6280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from fffcc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 + 4*k**2 - 3*k**2 + (5*k + k - 5*k)*(-k + 3*k + 5*k) - 2*k**2 - 5 + 5.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a meter in centimeters?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25697 = -168*q + 27713 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**3 - 4 + 0 + 2*r - 3*r**3 - 6*r**2. Let b be s(-6). Let m be (-56)\/(-30) + b\/(-120). Put m, -2, 3 in descending order.\nAnswer: 3, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -36*q + 42. Suppose 2460 = 3*f + 2*f + 3*n, -f + q*n + 492 = 0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 47 - 13)*(2*x**2 + x**2 - 5*x**2 + (-2 + x**2 + 2)*(-5 + 1 + 3) - 860*x + 860*x + 103*x**2).\nAnswer: 4200*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence du when two letters picked without replacement from oouduuuoououuouuu?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1327631.8 - 1327515.80246. Let a = 116 - q. What is a rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 9*h - 10. Let m be l(7). Solve -4*v - 3*y = -13, -v - m*y = -3*v + 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-32)\/56*105\/(-6). What is the closest to 0.1 in 2, u, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2002, 4033, 6076, 8137, 10222, 12337?\n\"Answer: w**3 + 2024*w - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32552*u = 32549*u + 48 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28998*g**2 - 1004*g**2 - 234*g + 232*g.\nAnswer: 27994*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*-1*((sqrt(120)\/(sqrt(3) + 2*sqrt(3)*1 - sqrt(3) - sqrt(3)))\/(sqrt(96)\/((sqrt(24)*-1)\/sqrt(2))) + 0))**2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -263 and 0.309216?\nAnswer: 263.309216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1218\/189 + 12\/(-27).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (348\/90 - 4) + (-33587)\/(-15). Suppose 4*s - 5*f = b, -5*s + 2*f = -s - 2230. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437416979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 4*q - 1. Let u be p(5). Let h(m) = -m**2 + 10*m - 7. Let l be h(9). Find the second derivative of -5*z**2 + 3*z - u*z + 6*z**l wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.175 + 12.2. What is the third biggest value in y, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, w: 2, c: 3}. Give prob of picking 2 c.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3528 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 - 2. Let u(j) = 1. Let g(q) = -2*a(q) - 4*u(q). Let x(y) = 2*y**2. Calculate g(x(w)).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 108 - 477)*((-2*a**4 + a**4 + 5*a**4)*(2 - 1 + 0) + 4 + 2*a**4 - 4).\nAnswer: -3324*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*s + 18, -k + 16 = -3*s - s. Suppose 20 = -o + 3*o. Calculate the smallest common multiple of (-7)\/s - 2\/(30\/(-9)) and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54638 + -34690. Let m = f - 11663. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**2 + 13 + 11*c**2 + 8*c**2 - 2*c**2 wrt c.\nAnswer: 32*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (89680\/4940)\/(4\/78). Calculate the highest common factor of a and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 1 + 26 + -7 + -8 + (5 - 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssfseissesssfeissss. What is prob of sequence if?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**2 + 46*d - 16. Let v(r) = -13*r**2 - 187*r + 66. What is -2*v(m) - 9*x(m)?\nAnswer: -m**2 - 40*m + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/2 - 84\/(-6). Let n be (-4)\/(-14) - 4\/o. Suppose -5*u + 130 + 100 = n. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1963 - 1964. Which is the nearest to -0.1? (a) 2\/5 (b) 1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v - 18. Let q(f) = -f + 6. Let d(p) = -6*i(p) - 17*q(p). Is d(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/4 of a litre in millilitres?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 95708 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*q - 31*q + 45 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -40 + 55. Sort 5, -1, o.\nAnswer: o, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 g when three letters picked without replacement from {g: 4, o: 1, b: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*l + 973011 + 1008248 = -2251575. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -10. Suppose -3*l + 14 = 2. Suppose -t - l = -3*t. Solve q*k - t*k - 15 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 times -104.1?\nAnswer: -15406.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -107*v - 317. Give b(-4).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2504727589?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76903 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a = 73*a - 59*a - 936 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -4433254402?\nAnswer: 4433254403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2689314 is divided by 48.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29874 is divided by 5970.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - 4 - -43 - (-6 - (4 - (5 - 3))).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + -d7a46?\nAnswer: -d7a3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/5 - 1658912*w\/5 - 331782.\nAnswer: -2*(w + 1)*(w + 829455)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47180867?\nAnswer: 47180867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 882 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4\/2 - 105*x**3\/2 - 432*x**2 + 486*x.\nAnswer: -3*x*(x - 1)*(x + 18)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-1 + 12\/9). Suppose 6 = 4*t - q. Suppose 0 = -t*v - 0*h + h, 5*v = -3*h. Solve -3*y + 3 + 6 = v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1832 take away 902.57?\nAnswer: 929.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2969?\nAnswer: 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 14\/13, -154\/29, -5, -3, -2?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1399 > 305.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73 + 69. Let j = -2 - -1.9. What is the second smallest value in j, b, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100123, 200261, 300395, 400525, 500651, 600773?\nAnswer: 700891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svkkkvsvskkvz. What is prob of sequence kkvs?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24.6357 + 28.65. What is d rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-252*w + 178*w + 592*w)*(0*w - 3 + 1 - w + w + 3*w - w + (3*w - 3*w - w)*(3 - 5 + 3)).\nAnswer: 518*w**2 - 1036*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 4. Let m = -2.4 - p. Let h = 0.2 + m. Which is the second smallest value? (a) h (b) 0 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 44081429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n - 10. Let h = -3 + 2. Let t be -3*h\/(-1) - 1. Calculate the remainder when z(t) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 37. Suppose -j + 2 = -3*o. Let z(a) = -a**3 + 4*a**2 - 5*a + 6. What is z(o)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.21 in -56, 1\/4, 0.5, -0.0096, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -1.02 (b) 5 (c) 3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 3*d - 1 - 2, r = 2*d + 4. Suppose -2*j - 2 = 2*i - 6*j, -3*j - 1 = i. Which is smaller: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14140371 is divided by 4713444.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -5\/256042 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -319262316*j**6 + 575603*j**2 + 85*j wrt j.\nAnswer: -38311477920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/8)\/((-3)\/8). Let w = i + 1. Let j(r) = -3*r**2 + 4*r - 8. Let m(d) = 0*d**2 + 84 + 130 - 365 + 7*d - 5*d**2 + 136. Determine w*j(a) - 4*m(a).\nAnswer: -a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1110291, 1110372, 1110453, 1110534?\n\"Answer: 81*o + 1110210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 18. Let y = p - 10. What is the nearest to -1 in -2\/7, 0.1, y?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 3*o + 1, -5*d + 0*d + 5*o + 5 = 0. What is the derivative of 49*j**4 + 33 + 67*j**d - 132*j**4 wrt j?\nAnswer: -64*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 10:00 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4657 rounded to two decimal places?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 90564?\nAnswer: 996204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*g = -47029, 0 = 141*a - 136*a + 11*g - 235037. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 599274 or 599275?\nAnswer: 599275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -631857 - 83?\nAnswer: -631940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 4*c**2 + c. Let t be y(-4). Let w be -1 - (t - 3\/(-3)). What is the remainder when 17 is divided by (-1 - (-4 + -9))\/w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*x = 84*x + 1332. List the prime factors of x.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44848 is divided by 7473.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qev when three letters picked without replacement from {y: 1, e: 3, q: 2, v: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = -59*u - 43*u - 44 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 25088.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express q - 71 - 9*q - 13*q + q - q in the form x + i*q and give x.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 95100.3 nanograms?\nAnswer: 0.0000000951003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 1. Let x be -6*(-8)\/(-4 - 12). What is q(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 885706411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 886\/35883 + (-615)\/(-4617).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 227, 0, 101474, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, -0.5, 4, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-70)\/215) + 7 - (-1932)\/(-2205).\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -850, -1694, -2550, -3424, -4322, -5250, -6214?\n\"Answer: -d**3 - 837*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 y when three letters picked without replacement from yyyx.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 11.2 (b) 70 (c) 0.069 (d) 0.2 (e) 1\/7 (f) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*v + 4*a, -4*a - 7 = -5*v + 23. Let s be (-4)\/v*-6 + -2. Sort -2, s, -4 in descending order.\nAnswer: s, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/21 (b) -3\/5 (c) -4 (d) 0.000384 (e) -4\/9 (f) 9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 7:27 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -3\/5, -2\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 greater than 462\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312768354 divided by -1297794.\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 2. Let o(s) = 29*s - 7. Let k(x) = 2*o(x) - 6*z(x). What is the tens digit of k(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398 a factor of 11577422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 - 3*k + 2. Let s be l(2). Let j be (-4)\/16 - (-177)\/s. Let q = j + 24. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -1596*p + 24. Let d be k(-6). Let q = 153549\/16 - d. What is the common denominator of q and 93\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 129149671 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**6\/480 + l**5\/240 - l**4\/96 - l**3\/24 - l**2 - 4*l. Let d(r) be the first derivative of p(r). Factor d(i).\nAnswer: (i - 1)*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4 + 3*l + 2*l**2 - 2 + 1. Let o(i) = -i**2 - 2*i - 2. Let k(x) = 5*x**2 - x - 1. Let u be k(-1). Suppose u*y + 2 = 22. Calculate y*o(p) + 3*r(p).\nAnswer: 2*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = -2*y. Suppose 4*u - 3746 + 126 = 4*l, -y*u + 5*l + 2723 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 3*n**2 + 8*n - 10. Let a be l(4). What is the highest common divisor of 48 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 697 a factor of 3350479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**5\/15 + v**4\/12 - v**3\/2 - 33*v**2\/2 + 21. Let z(d) be the second derivative of h(d). Calculate z(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 5*g**5 + 45*g**4 + 55*g**3 - 125*g**2 - 120*g + 140 = 0.\nAnswer: -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - q - 82 = -4*x, -4*q = -3*x - 186. Suppose -d = -q + 40. Solve -3*j + 4*j - 5*z + 14 = 0, -4*j + d*z - 26 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 divided by -4?\nAnswer: -207\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/2112 and 151\/66.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, b: 2, k: 2, t: 1}. What is prob of picking 2 b and 1 q?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 148\/471 - -3\/157. Let i(o) be the second derivative of 0 - 2*o + 0*o**3 - s*o**4 - 1\/2*o**2. Differentiate i(p) wrt p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 457314*i**4 + 1 + 3*i - 3 - 457308*i**4 + 22*i**2 - 5*i in the form t*i + y*i**3 + c + k*i**4 + h*i**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**3*j**2 + 278*d**3*j + 18*d**3 + d**2 + 766432*d*j**2 wrt d?\nAnswer: -18*j**2 + 1668*j + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 5*v**4\/2 - 10*v**3\/3 + 3*v**2\/2 - 5*v. Let m be k(9). Suppose 6*p - 9*p = -m. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31.5 - -32. Let y be 2\/3 - 7\/6. Let u = 0 + -1\/4. What is the nearest to y in -0.3, i, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00154919 to five decimal places.\nAnswer: 0.00155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -94 + 79. Let j be (-815001)\/(-5) - (-3)\/a. What is j rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2952 times 0.4?\nAnswer: -1180.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 + 5 - 2 + 2*c**3.\nAnswer: 2*c**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 45\/55 - 6\/(-33). Is -24 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108265 by 1962.\nAnswer: 108265\/1962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(8\/7)\/c)\/c)**(1\/17)*c**(-1\/18)*c**(-2))**(-36) assuming c is positive.\nAnswer: c**(8770\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 358349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**3 + 15*r**2 - 27*r + 4. Let h(a) = -a**3 + 8*a**2 - 15*a + 2. Let g(q) = 5*h(q) - 3*j(q). Suppose -3*x = -7 - 5. Calculate g(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -96*h - 3361. Determine b(-35).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2219 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 9 + 19 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 10 = -5. Let t(b) = 5*b**2 + 4 - 20*b**3 - 23*b**3 + 8*b + 44*b**3. Let n be t(-2). Sort v, -10, n in ascending order.\nAnswer: -10, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (12\/14 - 2\/(-14)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 61*y**4 + 5*y**2 - 38*y. Let t(n) = -61*n**4 - 4*n**2 + 39*n. Let q(j) = 5*t(j) + 4*z(j). Find the second derivative of q(k) wrt k.\nAnswer: -732*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -499*b**3 + 985*b**3 + b + 10*b**2 - 504*b**3.\nAnswer: -18*b**3 + 10*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u + 427 - 211 - 216 + 40*u.\nAnswer: 53*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.2 + 8. Let y = z - 4.9. Let a be ((-8)\/6)\/1 - -1. Sort y, 2\/15, a.\nAnswer: a, y, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4593.5 plus 252?\nAnswer: 4845.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + l + l - 2*l + 3*l + (-1 + 1 - 6)*(-2*l - 4 + 4))*(-4*l + 6*l + 3*l) in the form c + s*l + k*l**2 and give k.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.5 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**3\/3 + w. Let q(t) = -11*t**2 - 2*t**2 + 7*t**2. Calculate q(b(f)).\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160016 (base 10) to base 14.\nAnswer: 4245a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 95 and 1045.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015776312 to six dps.\nAnswer: 0.000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2008576.1 to the nearest 10000.\nAnswer: -2010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1336583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 7*b - 2. Suppose 2*q = -4*q + 18. What is the units digit of c(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 51, 64, 5, -162, -473, -964, -1671?\n\"Answer: -6*f**3 + 55*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-6)*5250\/602 + (-18)\/12\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (4 - 255\/35). Which is the nearest to q? (a) 2\/3 (b) -0.1 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 569 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/28 and -97\/252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 2*o**2 + 6*o + 7. Calculate x(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7.645 from -10.315.\nAnswer: -2.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.53 take away 45.02?\nAnswer: -98.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + 313675279.\nAnswer: 313675300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - -10122110?\nAnswer: 10122212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(2) - sqrt(242)) - (2 + sqrt(21)\/sqrt(3)).\nAnswer: -11*sqrt(7)\/10 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292844.\nAnswer: 2, 179, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3458.78 - 3716.25049.\nAnswer: -257.47049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -23484?\nAnswer: -23492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1243173.\nAnswer: 3, 23, 43, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.78 - -0.7. Let w = -2.92 + v. Let i = 4 + -1. Which is the third biggest value? (a) i (b) 0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*b + 2*b - b)*(5*b + 0*b - 4*b) - 5*b - 2*b**2 + 5*b)*((3*b**3 - 3*b**3 - 2*b**3)*(-3 + 1 + 4) + 16*b**3 - 46*b**3 - 33*b**3).\nAnswer: 268*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25*(-16)\/360*(-12)\/(-10).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 3)*(-8*j - 11*j - 6*j)*(4*j + 2 - 2) + (-4*j + 4*j - j)*(4*j - j - 2*j) in the form u*j**2 + p + g*j and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2. Suppose 3*y + j = -0*j + 20, d = -3*y + 3*j. Suppose -y*m - 9 = -89. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 41, 2, 0.4, -30 in ascending order.\nAnswer: -30, -0.2, 0.4, 2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -22112001211?\nAnswer: 22112002000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470712 is divided by 654?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 6. Let r(f) = 2*f - 9. Let z be r(6). Suppose 5*g + z*q = 32, 0*g - 2*q = -2*g + 16. Give l(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202003321 - 1?\nAnswer: 202003320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3922 (base 15) to base 14\nAnswer: 4622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -476*g**3 + 89*g**2 - 9*g. Let o(c) = 476*c**3 - 88*c**2 + 6*c + 1. Let n(j) = -3*o(j) - 2*x(j). What is the third derivative of n(p) wrt p?\nAnswer: -2856","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -6*h**3 - 3 + 12 - 2*h**3 + 9*h + 9*h**2 - 3*h**3. Let w(n) = 3*n**3 + 51 - 47 + 4*n**2 - 8*n**3 + 4*n. Determine -4*k(s) + 9*w(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (4 - 12) + -10 + 23?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**4 - 697891*o**3 - 420473*o**2 + o.\nAnswer: -48*o - 4187346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2180 = 10*v - 8810. Suppose v = 3*g + 3*s, g - 446 = -g - 4*s. List the prime factors of g.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.03 (b) -5 (c) 8\/47 (d) 4\/3 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.3 (b) 5 (c) 87333\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 11*u. Let g(k) = -25*k - 4. Give g(r(t)).\nAnswer: -275*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2946\/11 + 268. Which is the nearest to i? (a) 0 (b) 5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*1)\/((6\/81*3)\/(2396\/1198)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1) + 6 + -21 + 7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -5485.\nAnswer: -5489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, j: 3, r: 5}. Give prob of sequence pj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8.4+-0.0014\nAnswer: 8.3986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10006537457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -14*z - 1. Let n = 3 + -6. Let w be u(n). Suppose -3*a + 4*l + 87 = 0, 2*a - 3*l = -6*l + w. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2 + 8*w - 3. Let b be j(6). Suppose 9*l = 6423 - 1518. Let o be (-1)\/(l\/135 + -4). Is o < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 72. Let f = o - -48. Let q be (f + 1)\/((-370)\/(-95) + -4). Calculate the greatest common factor of 38 and q.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**4 + 40*s. Let o(f) = -f**2. Give k(o(x)).\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, n: 3, o: 2, a: 1, u: 1, m: 10}. What is prob of sequence mno?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1127358 and 187893.\nAnswer: 1127358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 10*o**2 - 3. Let r(g) be the second derivative of 7*g**4\/12 - g**2 - 1694*g. Suppose -2*b - 2*b - 28 = 0. Let h(j) = b*r(j) + 5*l(j). What is h(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209627939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.430144 rounded to one dp?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 354 divided by -354\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1111*q - 11250 = 526*q - 665*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3353 and 42631.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572198072.\nAnswer: 2, 19, 29, 271, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6748879339?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-2) - 6\/(-2). Suppose 5*q + i*a = 875 + 230, -4*q + 4*a = -900. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8 + 3)*(3 + -4). Is 3 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65719211 rounded to the nearest one hundred thousand?\nAnswer: -65700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a + 28*a = -1640. What is the highest common divisor of a and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwvvvvvvvuvvvwvv. Give prob of picking 3 w.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-5) + (-18272)\/(-20). Suppose 2*b + a = 244. Let i = b + 735. What is i rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 5*((-40)\/25 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/8 (b) 2\/9 (c) 3\/4 (d) -7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1263792 and 3?\nAnswer: 1263792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -12173000 to the nearest 100000.\nAnswer: -12200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 - -53. Suppose 1812 = y*c - 2284. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1608410 < 9650455\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7323 - 24729 = -4*l - 5*s, -2*l - 2*s + 8704 = 0. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 1425642?\nAnswer: -1425644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z - 7*z - 8*z)*(-4*z**2 + 3*z**2 + 0*z**2) to x + y*z + m*z**3 + n*z**2 and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44060982 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 347 divided by -1\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -666 - -901. Is 47 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -7)*(10 - 14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-5 + -20 - -13)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0.68 (c) -1\/7 (d) 11 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 2, 128 in increasing order.\nAnswer: -18, 2, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2011*u = 2754*u - 48295 for u.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -241064 - -241063.707654. Let i = -0.2733 - p. Let g = i + -0.019. What is g rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 - -1. Let l be (-12)\/(-10)*75\/120. What is the second biggest value in 3, y, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106*l - 49*l - 33*l)*(10 + 9 - 26)*(1 - 1 - 1).\nAnswer: 168*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*n*v**2 + 9*b*n*v*z**2 + 2*b*n*z + 2*b*n + b*v*z**3 + n*v**2*z**3 + 22*n*v**2 + 2*v*z**3 wrt v?\nAnswer: 2*b*n + 2*n*z**3 + 44*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. Suppose 0 = -2*i - 3*h - 22, -i - 4*h + 161 = 187. Which is the nearest to d? (a) 0 (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 12 = -h - 3*h, 3*h = -4*f - 9. Suppose 16 = -4*l - f*l. Let u = -10 + 7. Sort u, -5, l in decreasing order.\nAnswer: u, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 15*l**2 - l + 732. Let z(m) = -6*m**2 - 367. Give 2*d(b) + 5*z(b).\nAnswer: -2*b**3 - 2*b - 371","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z - 4. Let v be a(-7). Suppose -21*s + 11*s = 0. Find the third derivative of 20*m**5 + s*m**3 - m**5 + 0*m**v - 26*m**2 wrt m.\nAnswer: 1140*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 598*i + 8911 = 2516 - 10947 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 3*j**2 - 2*j)*(3*j**3 - 5*j**3 + 5*j**3 + (0 - 2*j + 0)*(-j**2 + 2*j - 2*j) + 7*j**3 + 3*j**3 + 3*j**3 + (-3*j**3 + 3*j**3 + 2*j**3)*(8 - 3 + 1)).\nAnswer: -90*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*i**5 + 3*i**4 - 3*i**4 + (3 - 1 + 0)*(-i**5 - 2*i**5 + 2*i**5) + (-2*i + i - 3*i)*(0*i**4 - 2*i**4 + 0*i**4).\nAnswer: -8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(96)\/sqrt(2).\nAnswer: -16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9 + 4)\/(2\/(-6)). Let d = 8 - p. Let u(v) = -13*v - 4. Is u(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 5*w**4\/4 - 20*w**3\/3 - 10*w**2 + 80*w - 11. Suppose g(c) = 0. Calculate c.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 48\/143 (c) 19 (d) 166\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 6:20 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 19616*t**2 - 9810*t**2 - 9800*t**2. Let j(o) be the third derivative of -o**4\/24 - 2*o**2. Determine v(j(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/sqrt(7)*5 + -5)**2 + 3 + (2 + 1 + sqrt(17))*-3*4.\nAnswer: -62*sqrt(17) + 417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, t: 2, x: 4}. What is prob of sequence jx?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0664 + 324.9336. Let g = 324.999138 - z. Round g to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113 = p + 12*k + 56, -5*p = 2*k - 111 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21131 + -111313210?\nAnswer: -111232013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3745554?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccnmcnnncnn. What is prob of sequence cm?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + ((-12)\/(-3) - 2). Let c = -303 - -302.032. Let o = 0.032 - c. Put n, 1\/2, o in decreasing order.\nAnswer: n, o, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*r - 2*k + 13, 3*k = 2*k. Suppose -q = -0*q + 3. What is the biggest value in 2, q, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**4 - o. Let n(j) = -j**2. Calculate g(n(i)).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3390 = 8*u - 3986. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjmjjjjjjmj. Give prob of sequence jjjj.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1751 - -1711. Let x be (-64)\/n*10\/3. Suppose 2\/3*l**2 - 14\/3*l - x = 0. What is l?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 285 = -2*o, -3*o - 150 = -0*a - 3*a. Suppose -5*v = 2*q + 2*q - 38, 5*v - 3*q = 24. Suppose -p = -v*p + a. Which is smaller: 13 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.33 - -0.07. Suppose 4*b = -0*b - 4. What is the nearest to b in 2\/7, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 7*o - 6. Suppose 8 = -9*z + 5*z. Let w be b(z). What is the derivative of -4 - 13*u**4 - 19 - 8*u**w wrt u?\nAnswer: -84*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -7. Suppose u = 2*s - s. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**7\/5040 - v**6\/360 + v**5\/60 - 3*v**2. Let i(o) be the third derivative of u(o). Differentiate i(f) wrt f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 - 18*v**2 + 44*v.\nAnswer: -2*v*(v - 2)*(v + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*s - 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 519325763.\nAnswer: 11, 23, 137, 14983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 9:44 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 3:48 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/99)\/((-21788)\/276540)?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-3 + 0 + 2 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3)*j*j\/j**(-4))**(1\/30)\/(j**(2\/5)\/(j*j\/j**(1\/9)*j))**(-13) assuming j is positive.\nAnswer: j**(-1448\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l = 19*l - p - 0*p + 19, 5*l = -9*p + 71 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 179 (c) 1764 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 1 + 0 + 264*y**3 - 3*y + 1 + 2*y**2 + 0. Is w(1) a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x - 2*x + 4*x)*(41 + 48*x**3 - 41).\nAnswer: 384*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, -5, -3\/7, -4.55, -34 in descending order.\nAnswer: -3\/7, -0.7, -4.55, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -123332112?\nAnswer: 123332110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 11. Let h be t(12). What is the greatest common factor of 69 and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 s when two letters picked without replacement from {t: 3, h: 2, s: 10}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 5:56 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4*153\/(-51)*(-1)\/(-4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -7*z**3 - z**2 - 5*z + 1. Let d(s) = 15*s**3 + s**2 + 10*s - 2. Let y(c) = 6*d(c) + 13*x(c). Let m be y(-7). Let t = 48 - m. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) - (((1 + sqrt(405))*-2)**2 + sqrt(405))) + 4 - (5 + 1 + sqrt(405) + sqrt(405) + sqrt(405))*1.\nAnswer: -1626 - 99*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 4*w + 9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*v**4 + 9*v**4 - 4*v**3 + 13*v**3 - 12*v.\nAnswer: 3*v*(v - 1)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 154568912?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18688 is divided by 406.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/6*66\/(-44)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1696 - 302 = 0. Calculate the greatest common divisor of 41 and v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.8 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -l + 4*w, -l - 5*w = -0*l - 3. What is the third derivative of -2*b**2 - b**2 - 6*b**3 + l*b**3 + 0*b**2 wrt b?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + z + 1. Let w be 2 + 9\/(45\/(-40)). Let c be (w\/8*-2)\/((-1)\/2). Let y(k) = -3*k**2 - 2*k - 3. Calculate c*y(p) - 7*r(p).\nAnswer: 2*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 22*a**5 - 26*a**4 + 10*a**3 + 2*a**2 + 2*a + 2. Let s(l) = l**5 + l**4 + l**3 + l**2 + l + 1. Let w(u) = -2*s(u) + y(u). Solve w(g) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 20093 = -3*z + 20139, 2*z = -5*b + 49 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 358 - 3*h**2 + 155 - 728*h + 758*h.\nAnswer: -3*(h - 19)*(h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -38489 + -10521?\nAnswer: -49010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 5*a**2 - 3*a + 3. Let q be j(-3). Calculate the remainder when 14 is divided by ((-10)\/q)\/((-11)\/(-33)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 450 and 24525?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -695, -690, -673, -638, -579?\nAnswer: -490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 - 62.2. Let y = -9 - o. Is y < 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 17 (b) 0.8 (c) 2 (d) -260\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q*r**2 - 675279*q + 9615*r**2 - 102 wrt q.\nAnswer: -r**2 - 675279","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*i - 71909 + 71909 - 814*i + (-1 - 4 + 1)*(-i + 0*i + 2*i) in the form t + w*i and give w.\nAnswer: -870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 528\/(-168) - (-1)\/7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/1 + -1 - -1737. What is the common denominator of -23\/6 and q\/135 - 4\/18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25979, -47355, -64143, -76349, -83979, -87039, -85535?\nAnswer: -79473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7349 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15141 and 1545.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3203*o + 547*o**3 - 1603*o - 544*o**3 - 1600*o.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**3 + 892*p**2 - 50172*p + 49284 = 0 for p.\nAnswer: 1, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7113 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 973, 968, 963, 958?\nAnswer: 953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -465 and -71989819588.\nAnswer: -71989820053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 12:31 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 1630 - 205 = 0. Let g be (6\/5)\/((-38)\/j). Suppose 0 = 3*n - g. Let q(l) = -2*l + 1. Determine q(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(3) - (sqrt(3) - 1*sqrt(3)))*2.\nAnswer: -5 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 14 + 4. Let y be (0 - u)*24\/(-12). Solve 0 = m - 3*m + y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 51, 0, 1\/13, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42531 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -n - 5, 0 = -3*n - 0*n - 3*j + 21. Determine z, given that 2\/7*z**4 + 8\/7*z**n + 0 + 4\/7*z + 10\/7*z**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.1 + -3.2. What is the nearest to u in 2\/7, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**5\/4 + m**4\/4 - m**3\/2 - 4*m. Let u(t) = 8*t**3 + 8*t + 6*t**3 - 7*t**2 - t**2. Give 8*g(c) + 3*u(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/40 and -25\/24784.\nAnswer: 123920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7090177 to the power of 1\/3, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 326 (base 7) to base 4\nAnswer: 2213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -247 - -258. What is the derivative of 54 - x + 105*x**4 - m + x wrt x?\nAnswer: 420*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, 3, -116, -10 in descending order.\nAnswer: 3, -3, -8, -10, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - 2\/(-6)*0. Let m(p) = 4*p**3 + 4*p**2 + 5. Suppose 0 = 4*h - 9*h + 15. Let k(r) = -5*r**3 - 5*r**2 - 6. Give b*m(c) + h*k(c).\nAnswer: c**3 + c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/(-14)*-1)\/(145\/406)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45205 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -195 + 198. Put -1, 4\/7, i in decreasing order.\nAnswer: i, 4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*j + 58*j + 57*j + 3 - 3.\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13620.\nAnswer: 2, 3, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52115 by 7.\nAnswer: -7445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -16*x - 16. Let d(t) = t + 3. What is -a(s) - 3*d(s)?\nAnswer: 13*s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 + 50*c - 32. Give i(-25).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yuuyuuouyyu. Give prob of picking 4 u.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/8 - -2)\/((-1)\/(-4)). Suppose 14 + j = 5*r. Solve 31 = 5*i + 4*a, 3*i + 2*a - r = 13 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1886 + -1061. Is 25 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-22))\/(i\/((i\/i**(-2\/69))\/i)))**(-26))**46 assuming i is positive.\nAnswer: i**(78832\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*g = -16. What is the smallest common multiple of 22 and (1 - (-3 - -3))*(118 - g)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 772 and 14752?\nAnswer: 2847136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 4*b + 5. Let h be o(3). Find the first derivative of 15*x**3 - 13*x**h + 4 + 13*x**2 - 6 wrt x.\nAnswer: 45*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 - 5*m**3 + 2*m**3)*(-2 - 2 - 1)*(-37 - 86 + 154).\nAnswer: 155*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1484?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62758 is divided by 171.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 71161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*t = 7 + 14, 3*l - 4*t = 0. Suppose -25 = l*s - 3*i - 87, 4*i = -s + 25. Let q = -12 + s. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014367 to six dps.\nAnswer: -0.000144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -185 + 270. Calculate the highest common divisor of 20 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 687 = 5*h, -14*w + 9*w - 409 = -3*h. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + ((-4)\/170)\/(7\/35).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218*d = -2*t - 213*d + 5415, 5*d + 13575 = 5*t. Calculate the least common multiple of t and 3400.\nAnswer: 13600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 24, 5, 0 in increasing order.\nAnswer: 0, 4, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9110.08011 + 9110. Let g = f + 0.082. What is g rounded to four dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 111 + 3066?\nAnswer: 3177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -408, -430, -460, -492, -520, -538, -540, -520?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 5340.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2659761375 - 11.\nAnswer: 2659761364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 16*d - 39 = 0. Let j(h) = h**2 + 14*h + 6. Let b be j(d). Let n be 174\/21 + 2\/b. Solve -2*z - 2 + n = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -648133 (base 13) to base 6.\nAnswer: -122324541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 3*i + 32, o + 3*i + 777 - 760 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 628543 and 3396.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156 + 6*m**2 - 57 - 2*m**2 - 99.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 19, 29, 31, 19, -13?\n\"Answer: -x**3 + 2*x**2 + 11*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -538, -556, -574, -592?\n\"Answer: -18*x - 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 11 = s, -2*q - 5*s = -0*q + 19 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + d**2 - 8*d. Let v(k) = -8*k**3 - 9*k**2 + 52*k. Calculate 6*h(i) + v(i).\nAnswer: -2*i**3 - 3*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 90\/9 - -5*(-95)\/25\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m + 0*m + 0*m. Let x(k) be the first derivative of -2*k**3\/3 - 183. Give h(x(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**4 - 2*s**4 + 0*s**4 + (s**4 - s**2 + s**2)*(-5 + 6 + 3) + 4*s**2 - 4*s**2 + 6*s**4.\nAnswer: 7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2048 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 736 is divided by 28\/18 + 52672\/576.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100001 + -1100101101110110001?\nAnswer: -1100101101100010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 6:47 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-four ninths of a hour?\nAnswer: 13600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a week in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 123844, 123968, 124166, 124432, 124760, 125144, 125578, 126056?\n\"Answer: -l**3 + 43*l**2 + 2*l + 123800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63936 and 25056?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(720) - ((sqrt(5) - (sqrt(5) - sqrt(5)*2)) + sqrt(5))*-5 - ((-1*sqrt(5) + sqrt(5) - sqrt(5)) + -2 + sqrt(5) - (sqrt(5) + (sqrt(5) + 1)*-1)).\nAnswer: 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11760 and 840?\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (1 - 4 - -8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (132\/(-55))\/((-4)\/130).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.98 + -0.02. Let g = 19933 + -19932.9. Which is the closest to g? (a) 2 (b) u (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -1. Let d(y) = -5*y**3 - 12*y**2 + 5*y - 1. Let l(g) = g**3 + g**2 - 1. Let b(s) = -d(s) - 6*l(s). Calculate b(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-36)*40)\/(-2)*(-12)\/10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5748, 11510, 17286, 23076?\nAnswer: 28880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -89 - -99. Let l be -7 + 10\/(w\/3). Let j(q) = 6*q + 2. Let m(c) = c. Determine l*m(y) + j(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45943, -45953, -45963, -45973?\nAnswer: -45983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 9*c**2 - 1726*c**3 - 5*c - 4*c**2 + 12*c + 2 + 593*c**3. Is g(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 58789, 117557, 176325, 235093?\n\"Answer: 58768*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 153*d**2 - 5642*d + 3. Let h be j(-91). Suppose -3\/7*x**h - 63 - 51\/7*x**2 - 39*x = 0. Calculate x.\nAnswer: -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4922, 9838, 14754?\n\"Answer: 4916*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 41*f - 87. What is s(3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q**2 - 2*q - 3. Let h(v) = -17*v**2 + 8*v + 13. Let r(y) = -2*h(y) - 9*t(y). Let j be r(-1). Is 1013\/4 + j\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -485 + 485. Solve -5*y + 8*y + 9 = k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 18*f**2 + 18*f - 16. Let a be i(-19). Let y(o) = 3*o**3 + 4*o**3 + 3*o**2 - 8*o**3 - a + 5*o + o**2. Give y(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111110110010 (base 2) to base 13.\nAnswer: -1aa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/14 + 6\/(-4). Let b be (-4)\/8*(-2 - c). Solve -4*l - b = -3*h, -6*h = -5*h + 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69556 - 69556.00000057138. Round v to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 11 - 21. Let f(b) = -4 + 0*b + j - b. Let w(t) = t. Let z(g) = 2*g + 5. Let c(o) = 3*w(o) - z(o). Determine 5*c(i) + 6*f(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + i + 4. Let a be x(0). Solve -a - 2 = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131148304*a**2\/5 - 22904*a - 5 = 0 for a.\nAnswer: -5\/11452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45520 is divided by 192.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02253914807 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -3, 159, -5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 13*t = -1890. Let o = t - -274. Let h(n) = -n + 9. Give h(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -531 + 1237*t + 1075*t**4 - 1237*t + 179*t**4 wrt t.\nAnswer: 5016*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3406*j + 4. Let b(o) = 797032*o + 938. Give -2*b(m) + 469*h(m).\nAnswer: 3350*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (390\/45)\/1*(-30)\/100?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 749 is divided by 118?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3651872 by -224.\nAnswer: -16303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 29 - 11*o - o**2 - 15 + 2*o**2 - 10. Calculate l(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*m - 29*m - 15 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -22.3. Let z be (-40)\/60 - (-10)\/12. Sort 3, s, 5, z in descending order.\nAnswer: 5, 3, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*o - 89366 = -4*r - 201*o, -2*r + 44656 = 5*o. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1))**(1\/49)*((g**(-2\/9)*g)\/g*g)**30 assuming g is positive.\nAnswer: g**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - k + 27 = 0, 4*x - 26847*k - 27 = -26848*k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1113131013 (base 4) to base 13.\nAnswer: -c7080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -327 - -577. Suppose -r = 2*r - 9. Suppose -r*u - b = -8*u. What is u rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -0.4 (c) -3\/8 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77 - 367. Is l < -289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 4*o**2 + 4. Let d be p(-4). Solve -2*m = d*a + 10, -3*a - 4*m = -m + 12 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 18 = -4. Suppose 0 = -4*f - 3*t + 299, -2*f + 18*t = 17*t - 167. Calculate the smallest common multiple of f and q.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6*h - 31. Calculate f(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a24bc9 (base 13) to base 4.\nAnswer: 200311132321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -2. What is the tens digit of 672\/f + (3 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -1 + 2 - 1 + 99*q - 491*q. Let j(i) = -2*i**2. Calculate d(j(w)).\nAnswer: 784*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 118661128 divided by 4\nAnswer: 29665282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and -0.7.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by -2 - (15\/5 + -39 + 2).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -252461451 - 0?\nAnswer: -252461451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 2:04 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 8*m**2 + 2*m - 1. Let i = -442 + 432. List the prime factors of q(i).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44552724 is divided by 2121558.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-21) - 33\/(-7). Let f(g) = g**3 + 2*g**2 - 37*g + 3. Let c be (-1 + (4 - 12\/6))*-7. Let r be f(c). Solve -3*m + s = r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.829576 - -0.2295776. Let a = -54.6 - -54. Let n = h - a. What is n rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 1:29 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 13*y**3 + 22*y**2 + 7*y - 14. Let g(x) = 7*x**3 + 11*x**2 + 3*x - 7. Let d(o) = -11*g(o) + 6*i(o). What is d(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 0)*1\/(-3). Suppose f = -k - k. Suppose -z + 25 = -5*a, k*z - 20 = 3*z + 4*a. Solve z = 2*l - 2 - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from {u: 1, n: 3, s: 3, q: 2, b: 4, e: 6}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -15980.86 to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 14 + 12 + 18 - 61 + 16 + 9*b. Suppose 3 - 8 = 5*h. What is a(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 5*d + 3. Let l(r) = 4*r + 0*r - d*r + 0*r - 6. Let z be l(-5). What is z rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66365202, 132730402, 199095602, 265460802, 331826002?\nAnswer: 398191202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 131550?\nAnswer: 1578600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 473 * 3\nAnswer: 1419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) 0.06 (c) 0 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -402021.\nAnswer: 1\/134007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 3*s**4\/20 - 2*s**3\/5 - 24*s**2\/5 + 96*s\/5 + 382. Determine o so that d(o) = 0.\nAnswer: -4, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62563754 is divided by 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 973*v**2 + 2*v + 274*v**2 + 2*v.\nAnswer: 1247*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1556492837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -10 + 30. Suppose 4*i = -5*v + 301 + 286, -2*v = -q*i + 622. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -22, 1\/10, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*f - 18*f - 24 = 0. Let a(d) = -d**3 + d**2 + 3*d + 10. Let l be a(-4). Suppose -4*n = j + j - l, f*j = 2*n + 141. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**4 - 157*s - 117*s + 225*s + (-3*s**3 + s**3 + 3*s**3)*(-s + 0*s + 2*s).\nAnswer: -3*s**4 - 49*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.3008421 rounded to 2 decimal places?\nAnswer: -15.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 15 = 17 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-18) + (-52)\/(-9). Suppose 3*u - 5 = 1. Suppose -4*k = -u*n - 66, -3*k + 3*n + 39 = -6. Calculate the greatest common divisor of k and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n**2 - 32*n**3 + 12*n**3 - 12*n**4 - 5*n**2 - 3*n**2 = 0. What is n?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 135 = 3*f, 5*f - 5*n - 90 = 3*f. Let y be (-3)\/4 + f\/12. Find the second derivative of 6*v**3 - 2*v**3 - 2*v**y + 21*v wrt v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**2*r**4 + 3*d**2*r**3 - 10*d**2*r**2 + 6*d**2*r + d**2 + 4*r**3 + r**2 wrt r.\nAnswer: 24*d**2*r + 18*d**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 - 1 - ((-3 - -19 - (107 - 90)) + 8).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -131 - -176. Suppose 5*j + 287 = 4*q, 3*j - 14 = -q + f. Calculate the least common multiple of q and 18.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -132.48735 to the nearest integer.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1019)\/(1\/(6 + -7))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -331522848 by -22571.\nAnswer: 14688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-1\/4))\/i)\/((i*i*i\/(i\/i**(-1)*i)*i)\/i*i))\/(i**(-3)\/i**3)*(i\/i**(-3\/5)*i**3)\/((i*i**(-2))\/(i*i*i**(1\/2))) assuming i is positive.\nAnswer: i**(257\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 646733887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 340622900 to the nearest 1000000.\nAnswer: 341000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (7 - 11) - -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37502 (base 8) to base 15.\nAnswer: -4be9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3 = 0, 2*s - 115 = -q + 4*q. Suppose 3*l + s = 5*l. Is l a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145465 is divided by 1061.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200.15 - 5.\nAnswer: -205.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -3*l**4\/2 + l**3\/2 + 2*l**2 + 7*l - 302. What is q(2)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -94 - 62) + -55.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-23)*y**(2\/3))\/((y\/(y*y**(7\/5)))\/y**(-39)))**50 assuming y is positive.\nAnswer: y**(-8840\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f**2 - 687*f - 3585. Give p(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-2)\/((-12)\/(-1))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g**2 + 3300*g + 19858. Determine i(-6).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3127419?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 7*m - 16 - 9*m - 15*m**2 - 4*m**3. Let w be -5 + 105\/14 + (-7)\/2. Let q(c) = c**2 + c + 1. Give w*j(f) - 16*q(f).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -36*x**2 - 200*x + 8064. Calculate y(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148320041?\nAnswer: 59, 2513899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = g + 12, 2*g - 2*k = -7*k - 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9110, -146, -4 in increasing order.\nAnswer: -146, -4, 9110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 37.2. Let h = l - -6. Is 0 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-371 - 27 + 35 - 483 - 201)*(h + 2*h - 4*h) to the form i*h + b and give i.\nAnswer: 1047","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 143*c + 142*c + 28, 3*c = -4*p + 29. Solve 3*a + 4 = 5*s, 7 = -a + p*s - 9*s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1081126 by -2.\nAnswer: 540563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s + 2. Let i be 2\/(2 - 132\/63). Let q be (-2)\/(-6) - (-49)\/i. Let u be v(q). Solve -25 = -p - 5*z, u*p = 4*p + z + 16 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 4, -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*z**4 - 6*z**3 - 2*z**2 + 56 wrt z?\nAnswer: -216*z - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 - 4*l - 18. Suppose 45 = -4*n + 33. Let h be a(n). Solve 0 = -5*x - 5*k + 20, 2*x + 4*k - h = -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 -19, -3, 0.5?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -419, -837, -1255?\n\"Answer: -418*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -4 (c) 0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -96, -342, -822, -1614?\nAnswer: -2796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 2*k - 5*q = -25, -5*q + 15 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ailkr. What is prob of picking 1 i, 1 r, and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**6\/27 + 4*k**5\/45 - k**4\/18 - 4*k**3\/27 - 19. Solve f(d) = 0 for d.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 5*v - 19679 = -0*x - 19713, -5*x = -2*v - 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24559 divided by 13\nAnswer: 24559\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1*(5 - 1) - ((-27411)\/(-315) - (-2)\/(-105))\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 5:12 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = f + 40, 10984*f + 5*g - 52 = 10986*f for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-2)*-2*(-8)\/(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**5*x - u**5 - 17*u**4*x - 2*u**2*x - 78*x wrt u?\nAnswer: -60*u**2*x - 60*u**2 - 408*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53943.94 litres in millilitres?\nAnswer: 53943940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5373*g**5 + 8*g**2 + 1745*g wrt g?\nAnswer: -322380*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1377104 is divided by 459033.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12254 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3685 + 31?\nAnswer: -3654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3918 and 3377316.\nAnswer: 3377316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 77306, 74269, 69200, 62093, 52942, 41741, 28484?\n\"Answer: -j**3 - 1010*j**2 + 78317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 5*z + 2 - 8, 2*z = -3*u + 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4883*x - 1646*x + 1183*x as c + a*x and give a.\nAnswer: 4420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) -1\/3 (b) 1\/3 (c) 4 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -736424 divided by 73\nAnswer: -10088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 222221 (base 3) to base 13\nAnswer: 43c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + -6 + 4 + 12. Suppose -5*z + 4*z = -d. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85197857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = b. Suppose 4*r + d - 84 = -4, -4*r + 76 = 2*d. Suppose -4*c + 16 = 4*p, -2*c + c + 4*p - r = 0. Sort b, c, 2 in decreasing order.\nAnswer: b, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*k + 386*k + 317 - 666 - 158*k + 324.\nAnswer: -2*k - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + 2 + -1)**2.\nAnswer: 10*sqrt(3) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/7))**9*(p*p*p*p*p**(5\/2))\/(p\/(((p**(-1\/4)*p)\/p)\/p*p))*(p**(1\/4)*p**(-1\/8))**(5\/13) assuming p is positive.\nAnswer: p**(8537\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {f: 3, r: 1, h: 4, j: 2, k: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.074 + -0.926. Let w = -188 + 176.3. Let z = -11.3 - w. Which is the closest to z? (a) -1\/7 (b) o (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 7*p**2 + 11*p - 23. Let z be b(8). What is the closest to z in 2\/7, 3, -22?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 - 7*o**2 + 3*o. Let j be s(-4). Put -4, j, 1 in increasing order.\nAnswer: -4, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 229685, 230257, 231797, 234785, 239701, 247025, 257237?\n\"Answer: 80*c**3 + 4*c**2 + 229601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1991 and 8326?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 - 2256 + 4509 - 2253.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**2 - 62*z. Let g(s) = 1467729*s. Determine g(p(i)).\nAnswer: 4403187*i**2 - 90999198*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33\/323 + 15775\/5814. Suppose 3 = -4*m - 45. What is the common denominator of ((-2)\/(m\/(-79)))\/(-1) and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*y - 3*a + 23, 0 = -4*a + 12. Let l(b) = 0 + y - 3 + b - 1. What is l(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.5 + -19.49999902. What is j rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-12)\/(-3) + -8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27154*p + 16179*p - p**4 + 13858*p + 0*p**4)*(p - p + p).\nAnswer: -p**5 + 2883*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 6. Let u be d(7). What is the derivative of -2*h - h - u - 1 + 4*h wrt h?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158\/14 + -55 + (-138)\/23 + 48.\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1000*n - 19041 = -1011*n. Solve n*q = 1727*q - 24 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/5762208 and -93\/9952.\nAnswer: 5762208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 125 and -392.\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - 0. Let u(i) = -50*i**2 + 543*i - 849. Let x be u(9). Is m >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -da9 + 4?\nAnswer: -da5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -597 bigger than -592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -308276357.\nAnswer: -308276356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11391174 divided by 6.\nAnswer: -1898529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(66)*4*-1*-2)\/(((-2*sqrt(66) + sqrt(66))*4)\/((sqrt(66)*-2)\/sqrt(6))).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 10 = -24*b - 79 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24*-6*(-10)\/72?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 3:10 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zvvuvevhv. Give prob of sequence ehv.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lw when two letters picked without replacement from hwoxhrll.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 1 + 5*x - 4 + 1 + 3. Let j be g(1). Suppose 0 = -2*q + 5*q - j. Solve -3*i + 0 = m - 11, -q*m + 2 = i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 29*l**2 - 30*l + 41. Determine f(28).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20813.5 rounded to the nearest 1000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(6\/11)\/(u*u**7) assuming u is positive.\nAnswer: u**(-82\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145134 is divided by 51?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 33*k**2 + 427*k - 13. Give t(-13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**7\/357 + 13*a**6\/255 - 3*a**5\/10 + 67*a**4\/102 - 28*a**3\/51 - 114*a - 1. What is k in r(k) = 0?\nAnswer: 0, 1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -550\/71 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 52*k**2 + 16485*k - 1. Determine o(-157).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(99) + sqrt(99) + 2*sqrt(99) + sqrt(99) + sqrt(99))*-1 + 5*sqrt(99)*2)\/(2*(sqrt(441) - (sqrt(441) + -1*sqrt(441) - sqrt(441)) - sqrt(441))).\nAnswer: 10*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 25*h - 423. Let q be o(17). Suppose -2*m + 24118 = -5*i + 4*i, -q*m + 2*i = -24120. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**5\/20 - w**4\/12 - w**3\/6 + w**2\/2 + w. Let c = -214 + 214. Suppose c = 5*q - 14*q. Calculate v(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9683 - -9693) + (47 - (-1 - -2))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*h - 6*h + 17, -y = -5*h + 19. Let a be (17 + -9)\/(-1 + 2). Let g be (-3)\/(6\/a)*1\/2. Sort -4, h, -3, g in decreasing order.\nAnswer: h, g, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-748)\/(-136))\/((-19)\/(-38)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172580018 is divided by 57526672.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -5003*n + 7459*n + 4518*n + 4843*n + 10182*n as a*n + x and give a.\nAnswer: 21999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 + 0.3. Let k = -4971 - -4964. Sort -5, v, k, -2\/9.\nAnswer: k, -5, -2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266506 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 1 + 10. Suppose -3*q + i = -11, 0 = -5*q + 2*i + 8 + 12. Let t(k) = -4*k + 5*k - q*k. Determine t(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0004 - 0.0096. What is the third biggest value in 0.4, 2\/49, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -90555, -181110, -271665?\n\"Answer: -90555*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8efdf2 (base 16) to base 12.\nAnswer: 317b12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3727979 to the nearest integer?\nAnswer: 1931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 68\/(-510) + 48\/225. Is 27 <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + s - 2*s + 3)*(15*s - 15*s + 2*s**2).\nAnswer: -2*s**3 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4513 = s - 4*g - 9526, 5*s + 2*g - 70305 = 0. Let z = s + -678. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 7*z - 9. Let s be n(7). What are the prime factors of (1 + 1\/2)*(-66)\/s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3 - 5\/6*g**2 + 4\/3*g = 0.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 12:17 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -389*-54572.\nAnswer: 21228508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 0.7, 0.6, 5, 2.67 in descending order.\nAnswer: 5, 2.67, 0.7, 0.6, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/27*3\/2. Let r = 42 - 42. Let j = 2.637 + -2.837. Which is the fourth biggest value? (a) t (b) -1 (c) r (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 5 = 4*d. Suppose d*b = 2*g + 18, b - 9 = 3*g + 4. Calculate the highest common factor of 12 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 7322*z**2 + 3664*z**2 + 3663*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 176 - 169. Which is the fourth smallest value? (a) 0.5 (b) -2 (c) w (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 357 + -237. Suppose -5*q + q = -h. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 4. Let y = c + 7. Calculate the remainder when 7 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.43 - -0.03. Let l = 3963 + -3966. What is the second smallest value in x, 4, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 474.\nAnswer: 94.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 7:00 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 316415 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 45*a + 47*a = 12375, a + 7436 = 3*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*f**5 + 26*f**4 - 343*f.\nAnswer: -380*f**3 + 312*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**4 + 5*c**4 - 5*c**4)*(51 - 113 + 13*c + 58).\nAnswer: 13*c**5 - 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -16, 3*c + 10 + 13 = -2*x. Put -2, c, 3, 5 in descending order.\nAnswer: 5, 3, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 9:11 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -7*n**4\/4 - 7*n - 11. Differentiate s(w) with respect to w.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.186 less than -2?\nAnswer: -2.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-560)\/(-896))\/((-5)\/2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -7, 0, -22863.\nAnswer: -22863, -7, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.2 less than or equal to 2\/16861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-7) + 16\/7. Suppose 41*c = 45*c + 2*w - 108, 5*c = 3*w + 124. Solve 3*l = -t - 5, -5*t - c + 1 = -d*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*7\/((-126)\/(-24)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 80.44 and -42.\nAnswer: -3378.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k - 24 = 8. What is the closest to k in -3\/4, 1, 0?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 - 65*k - 5. Let g be f(-26). Calculate the greatest common divisor of 37 and g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 2*m**3\/3 - 4*m**2 + 7*m. Let v be r(4). What is the highest common factor of v and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h**2 - 4*h + 2. Let d = 1959 - 1968. Let q(b) = -2*b**2 - 2*b + 1. Calculate d*q(v) + 4*l(v).\nAnswer: -2*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-68)\/408)\/(4\/9))\/(9\/(-4))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16 + 0 + 2 + 0. Suppose -3*l + 4*i + p = -9, -5*l + 53 = -4*i. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 14*z - 150. Determine p(-29).\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 60676 * 0.2.\nAnswer: 12135.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 673 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 + 7*j**3 + 8*j**3 - j**3.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -1010200?\nAnswer: 1010212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22073327 - 67?\nAnswer: -22073416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(165) - sqrt(165)*-2)\/sqrt(11))\/(sqrt(50)\/sqrt(160)) - (-3 + sqrt(147) + -1 - sqrt(6)\/(-5*sqrt(2)*-2)))**2.\nAnswer: 204*sqrt(3)\/5 + 9403\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x*x\/(x**(2\/11)\/x*x)*x*x))**(-4\/17))**(-1\/13))**27)**(-3\/10) assuming x is positive.\nAnswer: x**(5022\/12155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 81*o - 294. What is the remainder when 276 is divided by x(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b5 - -656?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -178, -642, -1422, -2524, -3954?\n\"Answer: -i**3 - 152*i**2 - i - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnqpppn. What is prob of picking 2 p and 1 q?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11231?\nAnswer: 11, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5946, -5989, -5932, -5727, -5326, -4681?\nAnswer: -3744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47269182 divided by 3.\nAnswer: -15756394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.19 + 0.1. Let g = 0.03 + i. Let t = g - -2.06. Which is bigger: t or -1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.12 + 0.2. Let j = n + 0.2. Round j to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -209 - -207. What is the closest to 0 in y, -5, -15?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = d - 2. Let i(m) be the third derivative of m**6\/120 - m**5\/10 - m**4\/8 - 5*m**3\/6 - 9*m**2 - 9. What is i(d)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from pnnpntpontppnpponnp.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. Suppose -2*n + 8 = 2*d, o*d + 0 - 10 = -3*n. Find the first derivative of -t**d + 11*t - 3 - 11*t wrt t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -45*w. Let d(q) = -30*q. Give -7*d(b) + 5*i(b).\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 220158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1, 123\/4, -2\/19, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2354)\/(-10) + 18\/(-225)*5. Calculate the greatest common factor of t and 329.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3720 and 293105?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -167*n**2 + n - 99. Let y(v) = -151 - 148 + 3*v - 377*v**2 - 125*v**2. Let u(t) = -17*q(t) + 6*y(t). What is the first derivative of u(h) wrt h?\nAnswer: -346*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 130.7 (c) 5 (d) -11 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*n**3 - 9 + 9)*(1431*n**2 - 904016 + 904016).\nAnswer: 18603*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n - 3. Let x(c) = 21*c + 16. Suppose -224*a - 8 = -222*a. Let l(u) = a*x(u) - 22*y(u). Determine l(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -343532212 (base 6) to base 9\nAnswer: -12835328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b. Let r(d) = -69*d - 295. What is j(r(p))?\nAnswer: 207*p + 885","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 3*u = -9, -4*x = -u + 6 + 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 4)*(-i - 13 + 12 + 16).\nAnswer: -i + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -340 divided by -4.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 10*h**2 + 3*h - 3. Let b be q(2). Let l be 0 - (-12)\/(6 + -4). Suppose l = -2*a, 4*i - a - b = -4*a. Calculate the remainder when 60 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7877?\nAnswer: 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2095\/13 - 161. Let o = -120675\/13 - -9283. Determine g so that o*g + 0 + n*g**2 - 2\/13*g**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) -2\/37 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*k**4 + k**3 - k**2 + 831 wrt k.\nAnswer: 52*k**3 + 3*k**2 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*b = -5*p - 30*b + 60, 0 = -p + 5*b - 21 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 52 = -5*a - 629, 0 = -4*h - 2*a - 894. Calculate the common denominator of h\/(-126) - (-3 + 7) and -46\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10229, -9043, -7061, -4277, -685, 3721, 8947?\n\"Answer: h**3 + 392*h**2 + 3*h - 10625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5762, 11527, 17298, 23075, 28858, 34647?\nAnswer: 40442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 133064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 364221.800055 - 364223. Let s = -1.2 - u. Round s to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6*r + 2. Let d(o) = -o**2 - 7*o - 1. Suppose 8*u - 4*u + 8 = 0. Let i(l) = u*d(l) - 3*y(l). Determine i(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.2 - -2. Let c(f) = -f - 3. Let q be c(-5). Sort g, -5, q in ascending order.\nAnswer: -5, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/(39\/1050) + 3. Suppose -t - 321 = -2*d. Suppose -3*y = -2*y - d. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2576622840?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 330 = -0*o. Let f be 12\/20 + o\/(-15). Solve -4*z = 2*c, -f*c + 5*z = -6*c - 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3529046 millilitres in litres?\nAnswer: 0.0003529046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 726 - 1400?\nAnswer: -896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 22.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(3\/4)*a)*a**(2\/9))\/((a\/(a*a**(-1)))\/a*a**(-3\/4)) assuming a is positive.\nAnswer: a**(13\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -2*p**4 + p**2\/2 + 33. Let z be x(-1). Suppose 12*s - z*s - 1305 = 0. What are the prime factors of s?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*o - 2*p = -34, 3*o - 2*p - 22 = 0. Solve 0 = 6*w - o*w - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**3 + 26*o**2 + 31*o + 7. Give s(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -3*c**5\/20 - c**4\/2 - c**3\/2 - 52*c. What is x in y(x) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14889*w + 7368*w + 7441*w.\nAnswer: -80*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018095056074 to four decimal places.\nAnswer: 0.0181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**4\/12 - 34*r**2. Let k(i) = 83*i**2 + 5*i. Let m(q) = -41*q**2 - 3*q. Let u(s) = 3*k(s) + 5*m(s). Give z(u(c)).\nAnswer: -88*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 48164005?\nAnswer: 48164011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*b - 5*d, 3 = 4*d - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -100 + 102. Let m = -0.1 + 0.1. Let l = -0.1 + m. Which is the third biggest value? (a) l (b) -3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*a + 15 = -8*a, -4*a + 4 = 4*d. Suppose 71*o - d*z = 66*o + 378, -2*o - 2*z = -164. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7492)\/(-16) + 1\/(-4). Let l be 5\/(-20)*6*-2. Find the second derivative of 468 - 11*s**l - g - 2*s wrt s.\nAnswer: -66*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 9*g**2 + 32*g + 12. Let x(i) = 8*i**2 + 41*i + 10. Determine 6*k(f) - 7*x(f).\nAnswer: -2*f**2 - 95*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/r**(-1)*r)**19\/((r\/((r\/(r\/(r\/r**(-10))))\/r))\/(r\/(r*r**5)*r)) assuming r is positive.\nAnswer: r**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*2\/4*-10. Let g = -17\/3 + q. Let i(y) = -y**2 + y + 1. Let n be i(2). Is n != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*z - 3*c, -z + 3*c + 3 = 6. Let s be 24\/5 + 2\/10. Sort s, -3, z in descending order.\nAnswer: s, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j**3 + 5*j**3 - 19*j**3 - 4*j**3 + 9*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 72352 divided by -2\nAnswer: -36176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-5)*150\/(-40)*56\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -36769425 divided by -35?\nAnswer: 1050555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 216 + -156. Let h = v - 57. Which is the second smallest value? (a) -0.4 (b) h (c) -0.1 (d) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 270 - 242. Let h be 1\/3*45\/1. Let f be (h\/4)\/5 - 4456\/(-32). What is the greatest common divisor of n and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 516 (base 10) to base 14.\nAnswer: 28c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-70)*2*85\/(-17)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-58 + 10)\/8 + 6. Let z(t) be the third derivative of 0 - 1\/2*t**3 + 1\/24*t**4 + n*t - t**2. Give z(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1265)\/575*(42\/36 - 2)\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33*g - 21*g - 1 - 1)*(-2*g + 4 - 4) + (-4*g + 4*g - 2*g)*(4*g - 2*g + 0*g) - 2*g**2 + 5*g**2 - 5*g**2 to the form x + k*g**2 + j*g and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -411*w**5\/4 + 23*w**4\/24 - 2*w**3 + 77*w**2 + 12. What is the second derivative of x(l) wrt l?\nAnswer: -12330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3075, -5, 0, 2, -3 in descending order.\nAnswer: 3075, 2, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23656634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200 and 187900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1361575?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 = 49*z + 216 + 70 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*d**6 + 105*d**3 + 2*d**2 - 10*d - 174 wrt d.\nAnswer: -5040*d**3 + 630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-28)*4\/38)\/((-16)\/64)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 - 115310?\nAnswer: -115231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -20, 7, -1372268 in decreasing order.\nAnswer: 7, 2, -20, -1372268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109798.395 hours to weeks.\nAnswer: 653.561875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 3:17 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -15*k + 274. Let q be m(18). Sort q, -145, 2.\nAnswer: -145, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4391 - -4394. What is the nearest to -4 in 0.3, s, -1, -0.027?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3 + 1\/6*d**3 - 2\/3*d + 1\/3*d**2.\nAnswer: (d - 2)*(d + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -41. Let d be -2*(1 + 1 + z). Suppose -d*k - 2*p = -5*k + 413, 3*k - 4*p - 409 = 0. Is 20 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -18 - 11 - (1 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7194 by -10.\nAnswer: 3597\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3243 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -569*m**2 - 10*m - 574. Let o(i) = -574*i**2 - 12*i - 574. Let x(n) = 5*o(n) - 6*z(n). What is the first derivative of x(q) wrt q?\nAnswer: 1088*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 113514*n - 340523. Give f(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/9*(-2712)\/(-2260)*15\/(-44)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 3*i**4\/4 - 88*i**2 - 1851*i + 943. Differentiate m(y) with respect to y.\nAnswer: 9*y**2 - 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -458*h**3 - h**2 + 266*h**3 + 189*h**3 - h - 1 + 13*h**4 to the form m*h**4 + c*h**3 + k*h**2 + p + f*h and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -0.1. Let w = -30.6 + 28.6. Which is the nearest to w? (a) 0 (b) -0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 9*n - 6. Let t be a(-9). Let x be 3\/((-19)\/(-8) + -2). Let d = x + t. Solve 2*p + 2 = -0*p, -d*s + 3*p + 11 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 2. Suppose 5*r = 2*s - 2 - 3, -13 = r + 2*s. Let m be (r\/2)\/((-12)\/32). What is the nearest to -0.1 in m, -2, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 10*x + 23. Let w be c(7). Suppose w*i + 49 + 1261 = 5*y, 0 = -4*y + 5*i + 1031. What are the prime factors of y?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 525\/2, 3.04, -0.3 in decreasing order.\nAnswer: 525\/2, 3.04, -1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 6*g + 2. Let o be j(4). Suppose o*h - 229 = -39. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-8)\/(-8)*(-2)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143) - (sqrt(143)*2 + sqrt(143) - sqrt(143) - sqrt(143))*-2)*6)\/(1*((sqrt(275)*-1 - sqrt(275)) + sqrt(275))))**2.\nAnswer: 4212\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 0. Let t(r) = 5*r + 18. Let f be t(-9). Let a = f + 30. Calculate the smallest common multiple of a and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 13. Let w = -259 + 558. Let d = -295 + w. Solve -d*n + i = -3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 51\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -22*l**3 - 33*l**2 + 33*l. Suppose -3*z - o = 96, -z - 2*z - 87 = 4*o. Let p(k) = k**3 + k**2 - k. Calculate z*p(v) - x(v).\nAnswer: -11*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i + 412. Let o(v) be the second derivative of -v**3\/6 - 226*v. Determine q(o(z)).\nAnswer: -4*z + 412","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 3*n**2 + 7*n + 5. Let u(x) = 2*x + 7. Let g be u(-8). Let h = 5 + g. Determine r(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 5?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = n - 266, 2*s + 3*n - 176 - 94 = 0. Let o(f) = -8*f**2 + s*f - 132*f. Let a(j) = j - 2*j - 5*j. Calculate a(o(d)).\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - 6*n**3 + 7*n**3 + 0*n.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1963, 4048, 6133, 8218, 10303?\nAnswer: 12388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = x - 4*r + 4, r + 4 = 5*x. Let s(f) = -43*f + 1. Let h be s(x). Let a be ((-176)\/24)\/(2\/h). What is the highest common factor of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0287908 rounded to four decimal places?\nAnswer: 0.0288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.15 (b) -84 (c) 94\/3 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -7993\nAnswer: -7988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - p**2 + p + 1. Let c(j) = -6*j**3 - 7*j**2 + 7*j + 4. Let q(n) = -c(n) + 5*v(n). What is q(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 0.033, -984?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 386*v + 3878. What are the prime factors of l(151)?\nAnswer: 2, 15541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9316 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101010110000010100 (base 2) in base 10?\nAnswer: 699412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - 1. Let v(d) = d**3 + 9*d**2 - d - 15. Let f be v(-9). Let h(z) = z**2 + 9*z + 6. Let i be h(f). Which is greater: x or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 3*p + 119 - 122, -2*p - s = -2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 - 83 = -5*b. Suppose -b*c + 58*c + 195 = 0. Does 31 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 335*y**3 + 2*y**2 + 4. Let i be j(-2). Let a = -1607 - i. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*p + 1348 = -251, -3*i - 3*p + 2385 = 0. Calculate the lowest common multiple of 144 and i.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16401106685 to the nearest 100000.\nAnswer: -16401100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 833 + -29?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135430 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/21 - -37\/105. Factor n*m**2 + 1\/5*m + 0*m**3 - 1\/5*m**5 + 0 - 2\/5*m**4.\nAnswer: -m*(m - 1)*(m + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -81*g + 24 - 24 - 19*g in the form a + o*g and give o.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -3. Suppose -550 = -l*i + 830. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 0.4, 0.08, -1\/8 in ascending order.\nAnswer: -1\/8, 0.08, 0.4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1295509209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -411200 divided by 102800.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3769049561.\nAnswer: 3769049561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -1 + 0 + 104\/24?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdda when four letters picked without replacement from {a: 7, u: 6, d: 6, h: 1}?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -25*t + 225. Let d be f(9). Solve -3*v + 14 = 5*c, d*c + 5 = 5*c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 f when two letters picked without replacement from llggbf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 2\/100141827?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 1703888.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2 - 33*n + 3. Let i be v(11). Suppose 0 = a + 2*a - 2*g - 1, 16 = 4*a + g. Find the second derivative of -p**a + p**i - 3*p**3 - 3*p wrt p.\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8616 + -28e?\nAnswer: -88a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 t when four letters picked without replacement from itttittitttitt.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*j**2 - 106 + 23*j**2 + 107.\nAnswer: -43*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13836.\nAnswer: 2, 3, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = 6*a - 504. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8.3, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/15)\/o*o*o**(-1\/3))**(-7\/6) assuming o is positive.\nAnswer: o**(7\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 13 + 91 = 0. Suppose 22 = -a*l - 17. Let z(t) = 5*t**3 - 4*t**2 - 4. Let i(o) = -5*o**3 + 3*o**2 + 3. Give l*z(n) - 4*i(n).\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*z**4 - 107*z**3 - 31340*z**2 - 129680541*z?\nAnswer: 120*z**2 - 642*z - 62680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {b: 2, t: 3, x: 2, w: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1866 - 1096. Suppose -3*p + i - 4220 = 0. What is p rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 348, 3, -0.5, 2\/9, -0.2?\nAnswer: 348","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + z - 13 = 0, -5*z + 4*z + 53 = 5*d. Suppose 2*n - 8 = 4*h, 6*n + 4*h + d = 9*n. What is the smallest common multiple of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3\/5 - 76*f**2\/5 + 420*f + 40572\/5.\nAnswer: -4*(f - 23)*(f + 21)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 20*b. Let i(c) = c**2 - 8851*c - 245. Determine i(g(d)).\nAnswer: 400*d**2 - 177020*d - 245","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**3 + 4*v**2 + v - 1. Let f be c(-2). Let x be 76\/(-10) - (-4)\/(-10). Which is bigger: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 79061841.\nAnswer: -237185523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15013 (base 14) in base 4?\nAnswer: 30232321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2089 + 2091. Which is the smallest value? (a) h (b) 3\/5 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = j - 5*j - 1, -4*j = -4*f - 44. Suppose 0 = 2*r - j - 2, -118 = -5*o + 3*r. Let h = -20 + o. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -26*v**2 - 1\/3*v**3 + 0 - 32*v. Let f be b(-26). Solve f = -5*s + 3*s - 2*t + 2, 2*t = 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r. Let m(j) = 7*j + 5. Let z(s) = s + 1. Suppose 9*y + 17 = 8. Let g(u) = y*m(u) + 5*z(u). Calculate d(g(f)).\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 4024974825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 261 - 297 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 3\/10 (c) -1909\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1274) + 2*sqrt(1274) - sqrt(260)\/(sqrt(50)\/sqrt(5)))\/((sqrt(242) + (sqrt(242) - (2*sqrt(242) - sqrt(242))))*-5 + sqrt(242)*-2*-3 + sqrt(242))*-1.\nAnswer: -10*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -56659452423.4 and 80.\nAnswer: -56659452343.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1.493 - 21\nAnswer: -22.493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 33, 106, -5, 4, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006993987 to 7 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(1\/2)*l)\/((l\/(l**(-5)\/l))\/l))**(4\/25)*l**(-1\/5)*l*l*l\/((l\/l**0)\/l)*l*l\/((l*l*l*l\/(l*l\/l**(-1))*l)\/l)*l**(5\/3)\/l assuming l is positive.\nAnswer: l**(281\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17061 + -9458. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(143) + sqrt(143))\/(sqrt(55)\/sqrt(5)*5)*-4*-3.\nAnswer: -36*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 328 - 131. List the prime factors of h.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 3205 = -13*i - g, 0 = -2*i + 4*g + 2146. Suppose 0 = -9*f + i + 7346. List the prime factors of f.\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((-1)\/(36\/8 + -2)). Let c be -629999 - (l\/10 - (-9)\/6). What is c rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 6*t. Let n(f) = -f**2 - 4*f. Let x(b) = -2*i(b) + 3*n(b). Let d(j) = 72*j - 3. What is d(x(k))?\nAnswer: -72*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-72)*211293\/120. Let r = w - -1008\/5. Calculate the common denominator of (-97)\/14*(3 + -2) and r.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 107 - 217 = 0. Suppose -5*l + x = 606. Let z be 9\/l + 2\/7. Which is the nearest to 0? (a) z (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = 26*h - 5232. Is h a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86 and 485169.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((22885\/1035)\/(-199))\/((2\/2)\/141)?\nAnswer: -47\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*c - 44*c + 48866 = 0. What are the prime factors of c?\nAnswer: 2, 53, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 - 29*z + 130. Let d be w(7). Suppose -d*h + 8 = 258. Let i(g) = g**3 + 10*g**2 + 2*g + 19. Give i(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -2, -9939, 7 in increasing order.\nAnswer: -9939, -2, 7, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 0.3 (b) -5 (c) 362\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46715, 93431, 140145, 186857, 233567?\nAnswer: 280275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1517, 5607, 12303, 21605, 33513?\n\"Answer: 1303*c**2 + 181*c + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4480 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -12 + 65 + (-2 - 6) and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l + 24*l**3 - 8*l**3 - 9*l**3 - l**2 as y + v*l**2 + x*l + h*l**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**4 + 160*o**3 + 2476*o**2 - 5424*o + 2790 = 0.\nAnswer: -15, 1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35*r - 94 - 1 + 85)*(0*r**3 + 2*r**3 - 6*r**3) to i*r + l + f*r**3 + k*r**2 + w*r**4 and give w.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 141 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4226104265 is divided by 5401?\nAnswer: 5399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 272207861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/10*35\/14. Let n(c) = 100001*c - 2. Let u be n(t). What is u rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18.6 - 2.4. Let g = -19.018 + -0.182. Let y = w - g. Round y to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 623*v + 3721. Determine g(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1828 (b) -0.1 (c) -0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 134 - 163. Let j = 29 + l. Solve 5*g + 2 - 17 = j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 154*c**3 + 155*c**3 - 10*c**2 - 28*c**2.\nAnswer: c**3 - 38*c**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.481831 micrometers in millimeters?\nAnswer: 0.000481831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793502071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4787*q + 4787*q - 470156*q**3.\nAnswer: -470156*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l - 1296 + 383 = -96*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (6 - ((3 - 0) + 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 305, 393, 459, 503, 525?\n\"Answer: -11*i**2 + 121*i + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -136000 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**3 + u**2 - 3*u + 2. Let o be n(2). Suppose -4*s + 72 = o. Solve -s - 8 = 4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.2 (b) -9\/197 (c) 4 (d) 0.46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**7\/8820 - s**6\/840 - s**5\/210 + s**4\/12 + s**2. Let u(z) be the second derivative of y(z). Factor u(t).\nAnswer: -2*(t + 1)*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (1 - -1) - (-6 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-10 - -11) - (-1 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 1632?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**2\/2 + 36593*n + 97592 = 0.\nAnswer: -8\/3, 24398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52.078 + 51. Let a = u - -0.018. What is a rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -646 + 1234 = 98*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*i - 9 - 32*i - 3*i**3 + 5*i**3 in the form g + r*i**2 + k*i**3 + d*i and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 76*a + 21630 = -44610. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 4*s + 8, 2*s = -5*z + 2*z - 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 + 3*g - 6. Let q be s(3). What is the remainder when ((-14)\/(-4) - 2)*(-70)\/q is divided by 48\/20 + (-2)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21376*a = -21378*a + 12324. List the prime factors of a.\nAnswer: 2, 3, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 z when four letters picked without replacement from {z: 4, x: 7}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 69, 868, 3035, 7254, 14209, 24584?\n\"Answer: 114*a**3 + a - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*b = t - 11, -3*t + b + 13 = 0. Suppose c + 1 = -5*o + 4*c, t*o - c + 5 = 0. Let m = 2 + 2. Is m greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 3:44 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-16) + (-4)\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of q**8\/3360 + q**7\/105 - 13*q**6\/360 - 7*q**4\/4 + 2*q**2 - 24*q - 2. Let w(y) be the third derivative of z(y). Factor w(m).\nAnswer: 2*m*(m - 1)*(m + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 79 - 40*b - 79 as g*b + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 1:19 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-546)\/(-856) + 15\/((-480)\/8) and 125\/18.\nAnswer: 1926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 19427, 4\/3, 27, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-8\/15)*t*t\/t**(-5)*t)\/(((t*t**(-1\/5))\/t)\/(t*t**(-24)*t*t)))**(-8\/11) assuming t is positive.\nAnswer: t**(112\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ad - ccd6?\nAnswer: -cd83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, l: 2, o: 9, r: 3}. What is prob of sequence rrr?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 15 + 6*q)*(2 - 2 - q**2 + (-q - 2*q + 5*q)*(106*q + 44*q + 10*q)).\nAnswer: 1914*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a. Let u be q(-1). Let h be u*2 + (6 - (5 - 3)). Is 0 - 9\/(h\/(8\/(-4))) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -71. Let c = -13 + d. What is the lowest common multiple of c and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u + 5*u + 7*u)*(-14 + 12 - 32 - 25) in the form q + b*u and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -51, -56, -63, -72, -83?\n\"Answer: -a**2 - 2*a - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2283 is divided by 2260?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 3*b + 12, 4*b + b = 4*u - 18. Suppose 0 = u*t + 50 - 52, 53 = 3*g - 4*t. Calculate the remainder when g is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 7:04 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5470, 5466, 5460, 5452?\nAnswer: 5442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 6:23 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6457216 divided by 4\nAnswer: -1614304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-6675)\/(-175)) + 41.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pipiipp. What is prob of picking 1 p and 1 i?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2774 + 2830. Calculate the smallest common multiple of 2 and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + d**2 + (15142 - 15142 + 439*d)*(0*d - 4*d + 2*d).\nAnswer: -877*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5300742 and 636?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 8) to base 3\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in -2\/235, 0.15, -6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**3 - g**2 - 2 + 5*g**3 - 1 - 2*g**2. Suppose -15*h + 7*h = -24. Let m(w) = -w**2 - 1. Calculate h*m(n) - r(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/6)\/((-2)\/44). Suppose -3*p - q = -5, 0 = 4*p + 4*q - 5 + 1. Suppose -p*y + k = -y. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06 - 5.06. Suppose 0 = 4*f - 0*f. Which is the nearest to f? (a) w (b) -0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 714 - 1704. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-74)\/14 + (-6)\/(-21). Let z = -16 - -14. Let f be z\/((-5)\/(-10) + 0). Sort l, -3, f.\nAnswer: l, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -55\/2, -53, -2\/109, 3.8, 4\/5, 2\/9?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*n - 8*n + 12*n)*(3 + 2 - 4) - 2 + 2 + n + n + 2 - 2 to the form u + x*n and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -10, -1\/11, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14440000987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 232600250 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110011022201 + -1?\nAnswer: -110011022202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxxmbembmemembe. Give prob of sequence bx.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 28, -47, 1\/2, 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23238490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**4\/12 - 4*c**3\/3 + 15*c**2\/2 + c. Is n(-9) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1792717, 7171380, 16135819, 28686034, 44822025, 64543792?\n\"Answer: 1792888*q**2 - q - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l\/(l*l**(-4\/9))))\/l*l\/(l\/l**(19\/2)) assuming l is positive.\nAnswer: l**(127\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -5*c + 4*f + 2197, 0 = -5*c - 2*f + 2179. Let m = c - 431. Solve 4*z - m*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5257*c - 71202 = -486505 for c.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/813 and -1\/17.\nAnswer: 13821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 105\/6*(-4)\/(-14) + -2. Let x(q) be the third derivative of 0*q + 0*q**r + 1\/24*q**4 + 0 + 18*q**2. Give x(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-8))\/((-39)\/104). Let l(p) = 564*p**2 + 557*p**h - 1123*p**2. Let z(y) = 85*y**2. Let o(d) = 42*d**2. Let r(t) = -5*o(t) + 3*z(t). What is l(r(n))?\nAnswer: -4050*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 13040024?\nAnswer: -13040031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 4)*(-4*s + 5*s + s)*(3*s + 2 - 2 + (-2 + 1 - 1)*(-s + 2*s - 3*s)) to the form z*s**2 + a*s + k and give z.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*v - 493 - 145. Solve -2*r + v = 19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - 3*a + 35 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0254 - 0.1746. What is the biggest value in -2\/13, -2.3, z?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17983 + 17979. Which is the nearest to 0.2? (a) 8 (b) q (c) 4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 242\/21, -0.052, -2, 5?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12795407 in -0.5, -0.3, 0.6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(396) + -5)**2 - (sqrt(396) + 1*sqrt(396) + -5)) + (3 + -1*sqrt(396) - (sqrt(396) - (sqrt(396) + 3 - sqrt(396)))*6)**2.\nAnswer: -1824*sqrt(11) + 20262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 3*b = -39, -436*b = 23*k - 433*b - 62 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -73, -46, 1, 74?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52525 and 2865?\nAnswer: 157575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -8, 1325488 in decreasing order.\nAnswer: 1325488, 6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 187047 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 94516 divided by 19?\nAnswer: 94516\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 557.0864 centuries in months?\nAnswer: 668503.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3, 17, 41, 75, 119?\n\"Answer: 5*j**2 - j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -10*w**2 - 229*w + 245. Let r be l(35). Round r to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210.684 rounded to the nearest integer?\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 144a - -121?\nAnswer: 156b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 6*u - u. Let l = -28 - -28. Let a = -3 - -3. Solve l = -u*m - a*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 85414286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -767005 + 749*h**4 + 767005 + 2*h**2 - 4*h**4 + h**4 + 2*h**4 + (2*h**3 + 3*h - 3*h)*(1 - 1 + h) - 2*h**4 + 0*h**4 + h**4.\nAnswer: 749*h**4 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, -0.1 in descending order.\nAnswer: 9, 5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -119634028936.\nAnswer: -119634028935.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**2 - 348846*b + 5233366. Calculate h(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i - 4469. Let r(q) = -q + 1488. Give 3*l(w) + 10*r(w).\nAnswer: -w + 1473","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (12 - -1) + 30 + -12 - (7 - 2)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**4\/8 - 5*j**3\/6 - 39*j**2\/2 - 36*j - 898. Let o(x) = 0. Calculate x.\nAnswer: -6, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/21*(-1932)\/138)\/(5\/(-18))\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/20514 and ((-1 + 2)\/(-50 + 51))\/(28\/(-142)).\nAnswer: 143598","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 929 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 4*i**2 + 6*i - 7. Let j be y(5). Let p be (-3)\/(-15) - (-951)\/(-30). Let a = -31 - p. Sort -4, j, a.\nAnswer: -4, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q**2 + 126*q + 440. Calculate n(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-6)*-3 + (3 - -29). Suppose 5*w - 2*u = -6*u + 3, -w - 2*u - 3 = 0. Calculate the highest common factor of w and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, s: 1, j: 10, a: 2}. Give prob of picking 2 j, 1 s, and 1 z.\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-5))**27)**20 assuming i is positive.\nAnswer: i**(-2160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -0.5. Let d = g + -0.7. Let u be (0 + 2\/3)*-3. Which is the third smallest value? (a) u (b) d (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - d + 12 = 0. Let l = d + 10. Solve -l*v = v + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.88 and 19.302?\nAnswer: -16.98576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -aa0 (base 12) to base 10\nAnswer: -1560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggcgcgggggxcggogc. Give prob of sequence xog.\nAnswer: 11\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 7 = -5*r, 35*r - 32*r + 2*x = 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -19830, -79321, -178474, -317289, -495766?\n\"Answer: -19831*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-6996)\/8162)\/(2\/63*3)*(-132)\/(-9)\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-3)\/15) + 1. Are 7 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66183 is divided by 1614?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 - 97 + 185 - 4*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 - 3 + 3 + (27 + 8*v + 3*v - 13*v)*(3*v**3 - 2 + 2).\nAnswer: -7*v**4 + 81*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/5)\/6)\/((-24)\/(-120)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 487176*c**3*w**2 - 1552973*c**3*w wrt w?\nAnswer: 974352*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.214 + 116.214. Let c = -0.252807 - 115.756093. Let m = c + p. Round m to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-984) + (-156)\/(-208). Is 2 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 790625*i**2*n**5 + 2*i**2*n**2 + 2307*i**2 + 20295*i*n**2 + 20*n**5 - n**2 wrt n?\nAnswer: 47437500*i**2*n**2 + 1200*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73.9962 - -74. What is d rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.8, 3, 34005?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2062*d + 5520. Is n(-9) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2740?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.49733831 to four dps.\nAnswer: -1.4973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/9*(-39)\/130?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1811.\nAnswer: 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**3\/2 - 243*i**2 + 981*i\/2 - 246 = 0. What is i?\nAnswer: -164, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3170.1015 + -3169. Let k = n - 1.1. Round k to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130000 + 21020?\nAnswer: 211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100 by 51.\nAnswer: 100\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -6108862 to the nearest 1000.\nAnswer: -6109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f**3 - 7*f**2 + 2*f + 13. Is n(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 2568?\nAnswer: 17976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -7. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005345011 rounded to 4 decimal places?\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/(o**(-3)\/o)*o)*o**31)**(3\/14) assuming o is positive.\nAnswer: o**(81\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1051124 (base 6) in base 15?\nAnswer: -10c54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from wxvvvvxoxvoooovooo.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4 - 7 + 119*l**2 + 1 as j*l**2 + y + h*l and give j.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*i + 15, -3*i = s - 0*i - 15. Suppose s*p - p = -9. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/5 in -43.66, -5, 3\/2, -1, 7.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*h**2 + 9*h**2 + 11*h**2)*(30*h + 22*h - 2 - 62*h).\nAnswer: -120*h**3 - 24*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 171 - 231 = -m, 2*m + 11*x = -5*m + 264 for m.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62211769 to the nearest integer?\nAnswer: 7887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4}. Give prob of picking 4 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -7\/3*u**3 + 10*u + 1\/4*u**4 - 13 + 9\/2*u**2. What are the prime factors of f(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/14 - 37\/7. Let m(l) be the third derivative of -l**6\/60 - 3*l**5\/20 - 5*l**4\/24 + l**3 + 44*l**2. List the prime factors of m(c).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/855 and 181\/2910.\nAnswer: 165870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, n: 2, l: 1, k: 2, z: 2, v: 1}. What is prob of sequence nn?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41148 divided by 9.\nAnswer: 4572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 5) to base 6\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 237078, 474272, 711576, 948984, 1186490?\n\"Answer: -i**3 + 61*i**2 + 237018*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 3*q - 4. Let l be x(-4). Let i = 35 + l. Let -i*g**2 - 26 + 3*g + 6*g**2 + 26 = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 370\/3*(-12)\/(-10). Suppose 3*o + o = m. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*1\/4 + 78534\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151516634?\nAnswer: 2, 75758317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 3*i**2 + 5*i - 2. Let z be -2 - (-3 + -3 + 0). Let p be l(z). Let f(d) = -3 - 1 + 7*d + 4 - d**p. Calculate f(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*j + 16*j**3 + 2*j**2 - 74*j - 47*j - j**4 + 25*j to z*j + i + o*j**4 + v*j**3 + n*j**2 and give z.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -123 - 3?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 488187.1 hours?\nAnswer: 1757473560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**37 assuming d is positive.\nAnswer: d**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 903 = u - 2*u, 3*f - u = 686. What are the prime factors of f*((-26)\/(-5) - 14\/70)?\nAnswer: 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1972200 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008707 to the power of 1\/2, to the nearest integer?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -143817.834 times 0.4\nAnswer: -57527.1336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**5\/140 + 11*h**4\/28 - 121*h**3\/14 + 1331*h**2\/14 + 23*h. Find k, given that r(k) = 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -1. Let y = -16 + 23. Calculate the least common multiple of y and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**14*z*z**15\/z)**(-11)\/((z**1)**(-5\/8)*(z\/(z*z**6*z))\/(z\/z**(-8\/5))) assuming z is positive.\nAnswer: z**(-12351\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4\/7 - 33252*j**3\/7 - 92240994*j**2\/7 - 552548484*j\/7 - 828374067\/7.\nAnswer: -3*(j + 3)**2*(j + 5539)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 375429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1\/8 (b) -94 (c) 0.4 (d) 9145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (50\/40)\/(24\/(-192))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1449 + 2891 - 1442 + 15*q.\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*a + 1 + 0*a + 4*a - 2*a + (3 - 1 + 0)*(a + 0*a + 0*a) + 0*a + 3*a - 2*a - 409*a + 101*a + 1 - 182*a as m + t*a and give t.\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 - a - 2. Suppose 0 = 2*f - f - 2. Calculate the remainder when 10 is divided by r(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (66 - 29) + -45 + (-10 - 1)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1241*q**3 + 22*q + 15?\nAnswer: -7446*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 8*p**2 + 15*p - 3. What is the lowest common multiple of a(-5) and 12?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 4*g**2 - 2*g - 3. Let p be h(3). Suppose 2*s + 4 + 2 = p. Suppose -d + 6*d + 25 = 0. Which is the smallest value? (a) 3 (b) s (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*b - 58 = 0, -7*d = -2*d + 5*b - 70. Let c = -4\/25 - 17\/50. What is the closest to c in 0, d, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, m: 11}. What is prob of picking 4 m?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96 + 49 + 47 + 1291*g**3 - 1289*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - n**2 + n**4 + n**2 + (0 - 2*n**3 + 0)*(-7*n - n + n).\nAnswer: 15*n**4 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122169*w = 122142*w + 378 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1349 (base 14) in base 7?\nAnswer: -12622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/8)\/((-1)\/(-12)). Let y be w\/2 - 7\/(-14). Let k(b) = -17803*b + 15. Let i be k(y). Round i to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-4 + 1 - 4). Suppose -9 = -h*b + 16. List the prime factors of 252\/b - (-28)\/(-70).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - i**2 - i - 1. Let d be x(3). Calculate the highest common divisor of d and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*p - p**3 + 157*p - 77*p.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 12:40 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1178\/3*(2 - -1). Suppose -286 = -2*w - 2*d + 182, 3*d + j = 5*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1852, 3700, 5546, 7390?\n\"Answer: -u**2 + 1851*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 2319.89743\nAnswer: -6959.69229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -12*g + 99. Determine l(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -12*v + 27. Let j(o) = -o**2 + 14*o - 47. Let w be j(10). What is the units digit of r(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1583 is divided by 272.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**4\/4 + 7*y**3\/6 - y**2\/2 - 5*y. Let x be n(-5). Let m = x + -1. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00100771694 rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooo. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mviv when four letters picked without replacement from {p: 3, m: 1, v: 6, i: 2}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + ((-100)\/(-4) - (-10 - 0))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42228501527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/71753 > -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26312 is divided by 58?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*n - 8 = 0, 2*n = -3*j + 4*j + 3. Suppose 8*u + 824 = 12*u. Suppose 7*o = 74 + u. What is the remainder when o is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2219 is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-7 - -9) - (2 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 - 3*a**2 + 2*a. Let k(s) = -2*s**3 - 4*s**2 + 3*s. Let w = 7 + -21. Let v = 17 + w. Suppose -p - 12 = v*p. Give p*k(y) + 4*n(y).\nAnswer: -2*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1588, 1, 0.4.\nAnswer: 0.4, 1, 1588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2005\/9 - 223. Let j = -60\/13 - -274\/65. Which is the third smallest value? (a) j (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1dd645 + -c?\nAnswer: -1dd651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 5:22 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a year?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 232904 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*sqrt(200).\nAnswer: 100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 25 = -5*z, -n + 15 = n + 3*z. Let a(q) be the third derivative of 0*q + 4\/3*q**3 + n + 2\/3*q**4 - 1\/6*q**5 + 3*q**2. Factor a(l).\nAnswer: -2*(l - 2)*(5*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37426324*1.\nAnswer: -37426324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -1 + 5\/2*b**2 - 2*b. Suppose -40*q + 37*q = 2*k + 12, -3*k = 2*q + 23. What is v(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**3 + 151*h**2 - 150*h + 11. What is the hundreds digit of u(-38)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**3 + 4*q - 4. Let c(o) = o - 1. Let u(x) = x**3 + 9*x**2 - 2*x - 12. Let a be u(-9). What is a*c(r) - z(r)?\nAnswer: 2*r**3 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -1, -0.01, 0?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -22869 at most as big as -22871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.21111863 to 3 decimal places.\nAnswer: 0.211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -12, -4, -2, -23168 in ascending order.\nAnswer: -23168, -12, -5, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 1 - 4 + 3 - 4 + (-2 + 2 + 2)*(-1 + 0 + 0) + 1 - 2 + 3)*(44 - 20 - 170*r - 24) as t + w*r and give w.\nAnswer: 1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85093 - 85094.039932. Let d = y - -1.04. Round d to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20266446 (base 8) in base 9?\nAnswer: -8054652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.217272 to three dps.\nAnswer: 0.217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 4*d - 36. What is b(0)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2636792*f**2*i + 80*f**2 - 6*f*i - 140254*f with respect to i.\nAnswer: -2636792*f**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3229*a + 27. Let w(z) = -807*z - 6. Give 2*r(m) + 9*w(m).\nAnswer: -805*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 48669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-6))\/((-82)\/(-1599)). Let n(c) = -26*c - 9. Let z(y) = -13*y - 4. Calculate q*z(b) - 6*n(b).\nAnswer: -13*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 12*s. Let u(l) = l + 5. Suppose 2*v = -2*v + 24. Suppose 4 = -v*g - 8. Let n(m) = -2. Let q(i) = g*u(i) - 5*n(i). Give q(k(o)).\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 2*g - 1. Let t(d) = -2*d**2 + 4*d - 3. Let h = -10 + 12. Let m be t(h). Give i(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000137901 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 149 divided by -175726\nAnswer: -149\/175726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001579901686 to seven decimal places.\nAnswer: 0.0015799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (b + b - b)*(12*b**2 - b**2 + 7*b**2) + 2*b**3 + 70*b**3 + 8*b**3 in the form w*b**2 + k + n*b + o*b**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4\/1*((-23)\/(-6))\/23\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-6)*d)\/(d*d*d*d*d*d**(1\/4)\/d)*(d**(1\/3)\/d*d)**(1\/13))\/(d**2*d\/(d**(-5)\/d)*d*d*d*d*d**(-2\/21)\/d*d*d*(d*d**6)\/d) assuming d is positive.\nAnswer: d**(-10603\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 64113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4614 - -4708. Solve n*f - 87*f - 14 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -235 - -356. Suppose 5*g = 2*i + 188, i = 2*g - k + 45. Solve -4*w = d + 3*d - g, -3*d - 2*w = -22 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -3) + 203 + -16 + 1. Suppose d = -4*z - m, -z - 3*d - 1 = 55. Is -50 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15 + 4)\/(0 + -1). What is the remainder when x - -1 - (4 - 5) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239065.\nAnswer: 5, 137, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 at most as big as -76\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 126*g**2 + 47*g + 1 + 9*g**2 - 7*g - 16*g**2 + 55*g wrt g.\nAnswer: 238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3 + 16 + 0 + -4 + -129 + 87?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 850*u**3 + 19*u - 11*u - 427*u**3 - 424*u**3 - 12*u**2. What is n(-13)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1622?\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932836161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33706783403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -1\/6*c**4 + 0*c**2 + 5*c + 2\/3*c**3 + 3. Let m(u) be the first derivative of h(u). Find the second derivative of m(s) wrt s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 256543 and 938.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 5 = -x, -2*j + j = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 23428 divided by 23428\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11\/8 or 2370?\nAnswer: 2370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1695 + 10*q + 1699 - 5*q + 1698 - 5092 + 3*q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-25)\/9))\/(44\/220).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -456*r**4 + 3672*r**3 + 3309*r**2 - 648*r - 21. Let x(s) = s**4 - 6*s**3 + s + 2. Let p(k) = h(k) + 24*x(k). Determine g, given that p(g) = 0.\nAnswer: -1, 1\/12, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 1390 = 5*h, 368 + 986 = 2*l + 4*h. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 + 36. Let u be (-60)\/32 - c\/8. Let y be (2*-4 - u) + 1. What is the second biggest value in y, 2\/11, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*((sqrt(12) - sqrt(588)) + -2 - 1*sqrt(1200)))**2.\nAnswer: -221472 - 9216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1776 and 29584?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 13*u - 308. Let d be a(24). Put 0, -3, d, -4 in increasing order.\nAnswer: -4, -3, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 2214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -111211002 (base 3) in base 8?\nAnswer: -23531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 2*b + 8, 9*c + b = 4*c + 10. Suppose 0 = -3*f - 5*f - c*f. Let a(m) = -m**2 - 13. Calculate a(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f + 7*f + 18*f)*((-f - 6*f + 6*f)*(2 + 0 - 4) + (1 + 2*f - 1)*(-1 + 0 + 2)).\nAnswer: 72*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2*l + 20 + 42, 59 = 2*l - s. Let y(w) = -w**3 - 6*w**2 - w - 2. Let k be y(-6). What is the greatest common factor of k and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 45047105?\nAnswer: 45047107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-83)\/(-2) - 2\/4.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1229 - 6137\/5. Is 2 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51181058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 215?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/50 and -53\/125.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 7912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 798 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1150.3 + 1150.7. Which is the nearest to x? (a) 2\/33 (b) 17 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 3)*(-3*h**3 + 1 - 1)*(-1 + 1 - 1 - 1 - 6 + 5 + (-4 + 2 + 1)*(0 + 0 - 1) - 3 + 2 + 0 + 8 - 15 - 11) to u + t*h**2 + q*h**3 + v*h and give q.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a millennium in centuries?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4*k - 3*k - 2*k)*(-22*k + 27*k**3 + 22*k) in the form v*k**3 + t*k**4 + a + m*k + o*k**2 and give t.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-7 - (-2 - 5)) + -6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1114 - 1.45\nAnswer: 1112.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n - 7. Let u be z(6). Suppose -4*b + 2*b + 4*g = -78, 20 = -4*g. Let v = 31 - b. Sort 3, u, v in increasing order.\nAnswer: v, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 42 = 5*h + 578, 2*h + 605 = 5*o. Let z = o - 593\/5. Which is the second biggest value? (a) -2\/3 (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11909 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30983?\nAnswer: 30983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22619\/1484 - -3\/371. Calculate the common denominator of 7\/16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0 - 8 = 0. Let p(j) = j - 20. Let v be p(0). Let a = -10 - v. Calculate the smallest common multiple of o and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1702852 to the nearest 1000.\nAnswer: -1703000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-5)*g*g**(-2\/13)*g)**48)**(-9\/7) assuming g is positive.\nAnswer: g**(1728\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 12, -1, -4 in descending order.\nAnswer: 12, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3\/5 + 140816*j**2\/5 + 1239321616*j\/5.\nAnswer: 4*j*(j + 17602)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 449040142?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**5\/19 - 9930*y**4\/19 + 649500*y**3 - 36961940*y**2\/19 + 36942090*y\/19 - 12310722\/19.\nAnswer: 2*(y - 2481)**2*(y - 1)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 3*x + 15. What is j(-5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -389459400 divided by 1298198?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 43\/2 of a millennium?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4047 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 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4*(-5)\/(-10))\/(-10). Factor 3\/5*p**2 + n*p**4 + p**3 - 9\/5*p + 0.\nAnswer: p*(p - 1)*(p + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -3, -0.3 in increasing order.\nAnswer: -4, -3, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -349 - -136. Let y = -2771\/13 - q. What is the second biggest value in -3, 0.05, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 317 + -221. Calculate the remainder when p is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**4\/4 + 3*r**2\/2 + 5*r. Suppose g(t) = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - h + 1015 = 0. What are the prime factors of h?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/31 (b) 0.01 (c) -4 (d) -43\/4 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 9161.\nAnswer: 6\/9161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + l - 5. Let y be z(-3). Which is greater: 4\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 3*z - 330 + 326 = 0, 0 = 3*j - 2*z + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(5) + (-3 + sqrt(5))*-5 - ((sqrt(50)*-1*-1)\/sqrt(10) + 1))**2.\nAnswer: -56*sqrt(5) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13334 and 2?\nAnswer: 13334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/(-9)*3)\/(20\/90))\/(744\/(-12))?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -502 + 501. Let b be (-3)\/((-3)\/(-4)) - 0. Sort -2, b, j in decreasing order.\nAnswer: j, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221202022 (base 3) to base 6.\nAnswer: -222525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*n + 40 = 3*s - 56*n, 3*s + 5*n + 20 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 442 (base 8) in base 2?\nAnswer: 100100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/12 and 25\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(252) + (sqrt(252) - sqrt(252)*1)) + sqrt(252))*-4)\/(((sqrt(144)\/sqrt(4))\/sqrt(3))\/(-2*sqrt(432) - sqrt(432))).\nAnswer: -1728*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*m + 23 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2 + z**3 - 2*z + 2*z - 10*z**2 + 8*z = 0 for z.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h + 0 + 0 + 30 - 30 + 7*h + (h - 2 + 2)*(-1 - 2 + 2) - 3 + 2*h + 3.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Sort 3, s, -5.\nAnswer: -5, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**5 + 4*s**5 + s**5)*(-5 + 0 + 3) + (5992*s**3 - 4*s**2 + 2*s**4 + 5 - 5992*s**3)*(s + 2 - 2).\nAnswer: -4*s**5 - 4*s**3 + 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, a: 4}. What is prob of sequence eae?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06 - 0.46. Let f(k) = -k**3 - 2*k**2 + 2*k - 1. Let t be f(-3). Which is the nearest to -0.1? (a) t (b) 1\/4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 11*p - 2. Let k(c) = -33*c + 6. Let r(d) = 2*k(d) + 7*w(d). Let m be r(2). What is the common denominator of 83\/18 and (0 + 2)*(-49)\/m?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 - 11*j**2 + 8*j + 1. Give o(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3438 + -1944. Let i = -1493.99996258 + a. What is i rounded to six decimal places?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -206738 - -415189. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 1. Let z(m) = -m**2 - 6*m - 3. Determine 4*u(h) + z(h).\nAnswer: -h**2 - 10*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3128*m**3 - 15*m**2 + 9*m - 16. What is the thousands digit of v(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -306 (base 8) in base 10?\nAnswer: -198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 472148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2581 a factor of 2855804232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 2713792?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1224353?\nAnswer: 13, 53, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c - -9?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77 + 79. Suppose z*h + 4*j = -26, -2 = 4*j - 3*j. Suppose w = -4*u - 6 - 0, w + u + 3 = 0. Which is bigger: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5230018?\nAnswer: 2, 61, 163, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 76*l**3 - 7*l + 836?\nAnswer: 228*l**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of ((-36)\/(-8))\/(-1)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*(-5)\/(-15)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9 - -1)*1 + 2. What is the common denominator of (-6)\/15*(-123)\/a and 2 + 1419\/(-154) - ((-9)\/1 - -3)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -141?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6 + -46)\/(-10) - -1123.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q + 5 + 5*q**2 - 2*q**3 - 6 - q**3 + 2*q**3. Let a be (1\/2*2)\/(-1). Let f be (4 - 6\/(-3)) + a. Calculate p(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, 1111, 4 in ascending order.\nAnswer: 4, 60, 1111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 1094 = 236. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8236 and 9.\nAnswer: -74124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206708.\nAnswer: 2, 31, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26731*c - 26716*c - 570 = 0 for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(((-14)\/4)\/((-81)\/(-108))).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6063*r - 55243?\nAnswer: 6063","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((8 - 0 - 1) + 3) - -16?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**3 - 3*x**2 + 12*x + 16. What is y(-3)?\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3648765371 + -0.128.\nAnswer: 3648765370.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14\/127 - 2215\/16637. Let m = -7529115969\/1703 - -4421090. Let y = p + m. Sort y, 2\/3, -4.\nAnswer: -4, y, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3)*d**(2\/15)*d)**(-36)\/((d*(d*(d*d*d\/((d*d**(-2\/3)\/d)\/d)*d)\/d)\/d*d)**(3\/7)\/(d**(-4\/5)*d*d*d*d**(1\/4)\/d*d*d*d)) assuming d is positive.\nAnswer: d**(-7169\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**2\/13 - 96762*j\/13 - 387016\/13 = 0.\nAnswer: -48377, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (3 - 7 - -5) + -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13201 (base 4) to base 9\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -0*m + 3*m - 5 - 7, -3*m + 4*x = -3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.10519 + -0.08481. Let a = -30 + 32. What is the nearest to a in 1\/5, 0, m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**14\/n**(-4\/13)*n**(-3\/2)*n**(2\/13)\/n*n*n assuming n is positive.\nAnswer: n**(363\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from yyyqqyp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**38\/(h\/(h\/h**8))*h**21\/h**1 assuming h is positive.\nAnswer: h**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 1 = -2*v, x + 99 = 96 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3204053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68569930.\nAnswer: 2, 5, 11, 13, 47951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, v: 3, r: 1, p: 3, z: 6}. Give prob of picking 2 v.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**3 + 0*c**3 - 2*c**3 + 0*c**3 + 2*c**3 - 3*c**3 + (76 - 167 - 95)*(3 - 3 + 2*c**3).\nAnswer: -371*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -159, -488, -985, -1650, -2483, -3484?\nAnswer: -4653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36810*t**3 - 2*t**2 - 36812*t**3 + 2*t**2.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3635*r + 8. Let z(l) = 16862784*l - 37110. Give 18555*n(h) + 4*z(h).\nAnswer: 3711*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(-60*y - 77*y - 42*y - 2)*(-3 - y + 3)*(2 + y**3 - 2).\nAnswer: 179*y**5 + 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -4\/20983623 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 347*p**5\/5 + 257*p**4\/12 + 401*p - 2. Find the third derivative of r(k) wrt k.\nAnswer: 8328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 16 - 6*b**2 + 8*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36\/21 + (-1 - (-27)\/21) and -2*(-1)\/(-3)*-9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7*z**2 + z - 4. Let j be (-1 + 2 - (3 + -5))*-47. Let m = -76 - j. Let l(n) = 75*n**2 - 10*n + 45. Let v(k) = m*t(k) + 6*l(k). Solve v(d) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 3:00 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - f + 45. What is the remainder when (-1*(-2)\/(-4))\/((-14)\/644) is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 22*d + 28. What is n(23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -191.183.\nAnswer: -188.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*o + 8, 7*f = 5*o + 3*f + 8. Let m be (3 + 0\/3)\/1. Suppose m = r - o. Let p(t) = t**3 - 4*t**2 + 4*t - 4. Calculate p(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*i - 28 = 3*d, d + 17 = -3*i. Let y = 25 - d. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -86*f**2 - f - 1. What is k(-1)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2137441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g**2 - 65*g + 436. What is i(-18)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 3*c + 2. Let s be d(-5). Suppose -f - s = -4*f. Differentiate 0*r + 5*r + 3*r + f + 4 wrt r.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 87169512 or 87169510?\nAnswer: 87169510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - m**2 - 12*m + 3. Let a be s(-3). Let l(c) = 2*c + 9. Let i(q) = -2*q - 6. Let r(y) = a*i(y) + 2*l(y). Let k(p) = 3 + 4*p - 3. Give r(k(w)).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1886451*-5.\nAnswer: 9432255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 102, 93, 82?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 3266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**4 + 176056*o**3 - 176016*o**2 - 1584504*o + 1584468 = 0. What is o?\nAnswer: -3, 1, 3, 44013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 105 or 102?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 1 = -24 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**2 + 9*v - 4*v - 4*v + (-9 + 7 - 11)*(2 + 3*v**2 - 2).\nAnswer: -36*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by -262?\nAnswer: -27\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 310\/(-4)*56\/70. Let v = n + 65. Suppose -2*t - 3*d + 250 = 0, -v*d - 117 = -t - 1. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -8*u. Let s(a) = a**3 + a + 34. Is s(u) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - ((43 - -22) + -78).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-150)\/(-15)*(-6)\/15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*d - 19*d + 3760 = 33*d. Let v(x) = 29*x**3 - 1. Let p be v(1). Solve -p + d = 4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 - 70*k**2 + 70*k**2.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*v = 764 + 1187 - 79 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57 - -53. Put s, -8, -4\/3, 0 in ascending order.\nAnswer: -8, s, -4\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -23*n**2 - 23*n + 47. What is p(2)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 349070047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3*sqrt(17) + 1)**2.\nAnswer: -18*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16726 - 55273. Let m be (-2 - -3)*(1 - 2) + z. What is m rounded to the nearest one thousand?\nAnswer: -72000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2382 by 2.\nAnswer: 1191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 143907, 143889, 143849, 143781, 143679?\n\"Answer: -c**3 - 5*c**2 + 4*c + 143909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 4, -0.1, 0.02 in ascending order.\nAnswer: -0.1, 0.02, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 141 and 30?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1501 + 2999 - 1495 + 5*s + 18*s.\nAnswer: 23*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13 + -13 + 26 - (-6)\/(-1). What is the greatest common divisor of 1070 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -184133*p**2 - 214755*p.\nAnswer: -368266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 0)*(3*u + 162 - 162)*(1 - 2 + 3)*(822*u**3 - 407*u**3 - 615*u**3) as z*u + x*u**4 + i*u**3 + q*u**2 + c and give x.\nAnswer: 3600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23273 is divided by 2132?\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30540 - -1649123\/54. Find the common denominator of 113\/6294 and j.\nAnswer: 56646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46*-0.5.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**2 + 75*g + 145. What is p(27)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) 0.15 (c) -0.06 (d) 1\/6 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6922475, -13844942, -20767409, -27689876?\nAnswer: -34612343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 333608 and 1292.\nAnswer: 6338552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - ((-10)\/(-8) - -3). Let r = -15 - -17. Which is the closest to -1\/4? (a) -1 (b) r (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/2 (b) 0.2 (c) 0.3 (d) -1\/3 (e) -93\/65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*y - 10, 4*y - 4*n - 8 = -7*n. Suppose z + 10*v = 11*v + 10, -y*z - 3*v = 5. Solve -2*a = -2*u, -z*u = -2*u - 2*a + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-4)*(19 + -17). Find the second derivative of -99*t + 53*t**2 - t**k + 34*t**2 + 9*t**2 + 2*t**2 wrt t.\nAnswer: -6*t + 196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121467*d**3 + 78117*d**2.\nAnswer: -728802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -0*c - 12*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198372 = -256*u - 38884. What is the remainder when u is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.165 - -75.835. Let q = -180093693 + 180093768.999923. Let m = q - h. Round m to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) -4\/3 (c) -2\/39 (d) -119\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1297 - 1951. Which is greater: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74528946.00000288 - -74528958. Let k = y + -12. What is k rounded to 7 decimal places?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 - -798) + 11 + -11. Sort k, -1, 5 in ascending order.\nAnswer: -1, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -133, -263, -391, -517?\n\"Answer: n**2 - 133*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.147338961 - 106\nAnswer: -103.852661039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + ((4 - 0) + 6 + -7 - -10).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-22)\/6*-3)\/(2\/4). Let p = -121 + 53. Let s = -47 - p. Is s at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61065831 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -684 + 681. Let c be (-322)\/(-77) - 2\/11. Put -48, c, u in decreasing order.\nAnswer: c, u, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, v: 4, f: 3, u: 3, c: 6}. Give prob of sequence ovff.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 2*b - 164, -19*u - 41 = -20*u + 2*b. What is the greatest common factor of u and 369?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 7 - 9)*(0*r - 2*r + 4*r)*(-18*r + 6*r**2 + 18*r)*(3*r - 8*r + 2*r) to the form x*r**3 + a*r**2 + n + s*r + p*r**4 and give p.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/3619 and 93\/7238.\nAnswer: 7238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7296070 divided by -19.\nAnswer: -7296070\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k**3 - 13*k**2 - 7*k - 12. Let h be i(-9). Suppose -c - 5*c = -h. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(2 + 1 - 5)*(-12 + 12 - 6*z) - z - 3 + 3.\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 4 in ascending order.\nAnswer: -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 228164130?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6*u = -3*g - 10, 3*g = u - 16. Let h(q) = q**3 + 9*q**2 + 22*q + 24. Let l be h(g). Which is bigger: l or -9\/59?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(6655) + sqrt(6655) + sqrt(6655))\/sqrt(11) + -2.\nAnswer: -132*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1315 - 2?\nAnswer: -1317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 10 = 2*n. Let g be (-84)\/(-45) - (4 + n). Is 0 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10302113210 (base 4) to base 13.\nAnswer: -34c247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 9:16 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aadmtmayammaaya. Give prob of picking 1 y, 1 a, and 1 d.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7184696 centuries in months?\nAnswer: 862.16352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*p + 3*p. Suppose 2*t + c + 12 = 0, c + 8 = -3*c. Sort t, p, -2.\nAnswer: t, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 8 - 5 = -y, 4*y + 4*i = 0. Suppose 0 = -3*o + o + 192. Let t be (-1 + 92\/o)*-2. Which is smaller: t or y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 529 divide 1129585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1533 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 488*h**3 + 2*h**2 + 1557*h + 2. Let l(w) = 1466*w**3 + 7*w**2 + 4671*w + 7. Let v(r) = 7*i(r) - 2*l(r). Find the second derivative of v(s) wrt s.\nAnswer: 2904*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 2*x + 8 = 0, 37 - 12 = 5*x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5588 - 4134 + 2612 = 395*w for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.048? (a) -2 (b) -32 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 656423 + -205444. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 882817088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 18 = 6*r. Find the third derivative of -6*l - 231*l**5 - 18*l + 19*l**3 - 2*l**2 - 19*l**r wrt l.\nAnswer: -13860*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w - 12544 = -182*w + 110 for w.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4355 and 8?\nAnswer: 34840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -464561*m**3*o - 334*m**3 - 2*m**2 - 13*m + 4 wrt o?\nAnswer: -464561*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0039093 to 4 dps.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6646, -13282, -19906, -26512, -33094, -39646, -46162?\n\"Answer: a**3 - 6643*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**5\/20 - 5*i**4 - 49*i**3\/6 - 6*i + 2. What is the second derivative of v(s) wrt s?\nAnswer: 6*s - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 9 - 10 - ((1 - 1) + -11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/((-1287)\/66)*(-12)\/2. Which is the second biggest value? (a) -0.2 (b) x (c) 6268\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170 = -8*m + 78 for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 7:08 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 352503 - -20516?\nAnswer: 403322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64\/5*h**3 - 448\/5*h - 312\/5*h**2 - 196\/5 - 4\/5*h**4 = 0. What is h?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*a, -5*h = a + a + 592. Suppose -13*c - 1512 = 5*c. Let r = c - h. Calculate the greatest common divisor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2510.954um to nanometers.\nAnswer: 2510954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w + 6*w - 5*w**2 - 4*w. Let h(i) = -i**2. Calculate c(h(u)).\nAnswer: -5*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**3 + 10*t**2 - 17*t - 96. Let u be a(-4). Suppose -2\/11*b**2 - 42\/11 + u*b = 0. Calculate b.\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8 + 9)\/((-6)\/(-6)))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80198599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 7:36 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2358*c**2*n*q**3 + 15*c**2*q**3 + 24*c**2*q + 34*c*n*q**3 - c*n*q**2 + 26*c*n + c*q**3 + 2*q**2 wrt c?\nAnswer: -4716*n*q**3 + 30*q**3 + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -465*d**3 + 250.\nAnswer: -1395*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3028836 less than 0.4?\nAnswer: 3028836.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23655 or -23656?\nAnswer: -23655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -186 - -2?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 191283343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**2. Let h(z) be the third derivative of -13*z**2 + 0*z**3 + 0 + 0*z - 5\/24*z**4. Calculate h(t(d)).\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 824377282 to the power of 1\/3, to the nearest integer?\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132, 359, 714, 1179, 1736?\nAnswer: 2367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*y - 233800000, 7*y - 6*y = -b + 116900000. What is b rounded to the nearest 1000000?\nAnswer: 117000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**3 - 14*r - 1. Let k(t) = 4*t**2. Calculate v(k(u)).\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -2)\/((-32)\/80). Put 1, 2, j in descending order.\nAnswer: 2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43925*w + 52472*w - 743589 = 0 for w.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*a - 131, 47 + 17 = a - 5*i. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 8*s + 8. Suppose 5*g = -15, -3*m = g + 5 - 23. Let n = -4 + m. Sort 4, s, n in decreasing order.\nAnswer: 4, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 1539*s**4\/4 + 587*s**3\/3 + 1303. What is the third derivative of u(z) wrt z?\nAnswer: 9234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -1)*1\/2. Let k(j) = 6*j - 1. Let w be k(1). Let n(u) = u**2 - 3*u - 7. Let a be n(w). Solve l = -3*r - 0 + a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(700) - sqrt(700)) + 3.\nAnswer: 3 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 584132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 413568587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 130.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 4280.9156\nAnswer: -25685.4936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 5442193200 to the nearest 1000000.\nAnswer: 5442000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(24\/9)*40\/(-75). Which is the smallest value? (a) 0.03 (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*a = -27*a + 19*a + 492303. What is a rounded to the nearest 100?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5*y = -205, 0*p + 3*p = 5*y + 163. Suppose -34*c = -p*c + 60. What is the highest common divisor of c and 215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -4, -0.3, -2, 0.0220083, -0.1?\nAnswer: 0.0220083","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1434, -1436, -1438?\nAnswer: -1440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 39. Suppose 48 = -4*i - 4*v, -i - v = 2*v + w. What is the units digit of 1*6*(-6)\/i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 4*u - 9*u. Let f = 10 - u. Is 4 + 63 + f\/2 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6021\/13 + 463. Let w = 2.6 + -0.6. Which is the fourth biggest value? (a) q (b) w (c) -3\/4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 54*u**2 - 64*u + 58. Let o be b(1). Solve o*w - 51 = 189 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -34.06. Which is the nearest to g? (a) -2 (b) -0.3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 819542070?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-9)*-6)\/((-10 + -358)\/8)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 4:38 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 153 + 37. Let p = 123 + b. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 886161212?\nAnswer: 2, 14411, 15373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 + -39. Let s(z) be the second derivative of -1\/3*z**4 + 0 - 1\/45*z**6 - z + 4\/9*z**3 - 1\/3*z**b + 2\/15*z**5. Factor s(n).\nAnswer: -2*(n - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -5*i + 12. Suppose 0 = -3*f + 4*l + 14 + 1, 0 = 3*f + l - i. What is the greatest common factor of 18 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10, 63, 186, 415, 786, 1335?\n\"Answer: 6*p**3 - p**2 + 14*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (77\/42)\/((-24)\/32)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3489604 divided by -1361.\nAnswer: 2564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4565, -8500, -12133, -15314, -17893, -19720?\nAnswer: -20645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/23, 115, 8, -2, 0.2?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + r + 5. Let y be p(0). Suppose 2*w - 1 - y = 0. Suppose -w*q + 30 = 2*q. Solve q = -4*u + 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j + 20*j + j - 92*j + 16*j.\nAnswer: -41*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*-0.10995\nAnswer: 0.002199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9544 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 6:59 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/((-5)\/(-3)) - 3. Suppose -4*d + 7*d - 6 = k. Which is the smallest value? (a) d (b) -2\/3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -15*(5\/3 + -2). Let t be 5\/(10\/8) - 0. Suppose 0*p - p = c*w - 1, -8 = t*w. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5 + 1. Let z(c) = -9*c**2 + 2 - 4*c - y + 0*c**3 + 0*c**3 - c**3. Is z(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of m**4\/2 + 5*m**3\/3 - 3*m**2\/2 - 4*m + 2. Let k be q(-5). What is the units digit of (2\/6)\/((-2)\/k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e34 (base 16) to base 8.\nAnswer: -7064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39*z + 24*z - 35*z)*(-5 + 1 + 3)*(-1 + 2*z**3 + 1) to the form x*z**4 + h*z**3 + d*z**2 + m + a*z and give x.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -4 + (-1)\/(-1). Let g(u) be the first derivative of -u**3\/3 - 2*u**2 + 24*u + 97. Let t be g(3). Sort 6, t, d.\nAnswer: d, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**3 + 3*y**3 + 4*y**3)*(6 - 6 - 2*y) + (3*y**3 - 3*y**3 - y**3)*(274868 + 1061*y - 274868).\nAnswer: -1067*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6345741)\/(1*(-2)\/(-4406438)). Let c = o - -6899036532216135741\/493456. Let w = c - 2\/30841. Calculate the common denominator of -93\/22 and w.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*i = 10 + 14, 5*b - 18 = i. Suppose -10*p + 287 = -b*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1 + 70\/(-49) - (-2657043)\/189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/(-2))\/(1389\/23150))\/(1\/((-2)\/3))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -1\/10017 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 208672 - -48?\nAnswer: 2086ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 16, 178 in descending order.\nAnswer: 178, 16, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 176416639?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 22 + 14 = 0. Let o be k\/(-2)*(-21)\/14. Solve -4*s - o*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77040*n**4 - 267458*n**2 wrt n?\nAnswer: -1848960*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 17*y = -15*y + 9, 5*z + 2*y = -17. Which is greater: z or 4\/739?\nAnswer: 4\/739","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -459 + 461. Solve 2*a - 21 = -3*d - a, 4*d - 20 = -s*a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25 and -4188.88.\nAnswer: -104722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-39)*-6)\/(-1). Let y = 16.84 - 16.44. What is the closest to c in 0, -16\/5, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/99 - 57\/11. Let z(b) = -3*b**3 - 3*b + 2. Let x(l) be the first derivative of -3*l**4\/2 - 5*l**2\/2 + 3*l + 2. Determine y*z(n) + 3*x(n).\nAnswer: -3*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 569*a**2 + 15*a - 8081. Let p(j) = 2*j. Calculate d(p(b)).\nAnswer: 2276*b**2 + 30*b - 8081","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 9*z + a, -a - a - 16 = 3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 94063247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*v = -3*m + 327, 43*v - 42*v = -5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 14 = -2*c, 4*q - 2*c = 2*c + 16. Let h(a) = -3*a**2 - 2*a**2 - a**3 + q + 3*a**2 + 2*a + 0. Determine h(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**3 + 2*d**2 - 3*d + 3. Let k be i(2). Let u = -190\/7 - k. Let g = 0.1 - -0.2. What is the second biggest value in g, 0.2, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122417.58 months to years.\nAnswer: 10201.465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2 - 3*g - 2. Suppose 5*o + 25 = 2*l - 9, 14 = -o - 2*l. Let q = 6 + o. What is the least common multiple of j(q) and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*j**6 + 494*j**5 + 9*j**2 + 53*j wrt j?\nAnswer: -840*j**3 + 29640*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9018 + 9017.5. Put 30.8, j, 2, -4 in increasing order.\nAnswer: -4, j, 2, 30.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 51.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 60 divided by 5\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 4*i + 11. Calculate u(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 369 + 205?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**4 - 2*s**2 + 2*s**2)*(-295*s - 5160 - 433*s + 730*s).\nAnswer: -8*s**5 + 20640*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v - 2. What is the remainder when u(-6) is divided by (-46 - -49)\/(-6*3\/(-48))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -19 (c) -22 (d) 0.4 (e) 0 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*r\/(r*r*r**(-29))*r*r*r)\/(r**(2\/5)\/r))\/((((r\/(r*r*(((r**19*r)\/r)\/r)\/r))\/r)\/r)\/r**(-1)) assuming r is positive.\nAnswer: r**(268\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 3*a = 4, 4*w + 2*a - 28 = 5*a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-51) + -87*(1*15 - 270040\/17544)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -342\/11417437?\nAnswer: -342\/11417437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00168749 rounded to five decimal places?\nAnswer: -0.00169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i - 2 + 2 + (-114 - 51 + 228)*(0 - 2*i + 0 - 1) + (1 - 1 - i)*(1 + 3 - 3) to d + h*i and give d.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 12235*x + 5 - 10604*x - 5 in the form i + g*x and give g.\nAnswer: 1631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 1. Let c be 2*2721\/10 + (-24)\/120. Let w be 1\/(-7) + c\/476. Let q(u) = -6*u**2 + 2*u - 5. Give w*q(t) + 3*k(t).\nAnswer: -3*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from keetspr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = i - 29, 4*i + 3*m + 7 = 8. Suppose 6*s - 10*s - 3*n = i, -3*s - 2*n = 3. Sort -3, -18, s, -5 in decreasing order.\nAnswer: s, -3, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 - 3*n + 1. Determine j(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*k**2 + 17*k**2 - 7*k**3 - 109*k**3 - 53*k**2.\nAnswer: -116*k**3 + 11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 27*d**2 - 119*d + 244. Give m(22).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/2)\/((-14)\/8). Let q be (-2)\/(-1) + (-24)\/15. Is x <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 17*z = 8, -4*u = -2*z - 15730 + 15738 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 0 + -1)\/(-2 + -2)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**3 - 85*l**2 - 1560*l - 5220 = 0.\nAnswer: -6, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**2\/2 + 3*y + 1. Let a be x(0). Let v = a + 2. Calculate the remainder when 9 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h**2 + 13 - 13)*(0 - h + 0)*(-2*h - 3*h + 3*h) in the form b*h + s*h**4 + j*h**2 + v*h**3 + l and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*c - 57*c + 125994. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86349140.\nAnswer: 2, 5, 4317457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 + 194*s - 397. Let g be t(-99). Let q(z) = 42*z**3 - 2*z**2 + 3*z + 4. Determine q(g).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 480 and 11244?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 54.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -1)\/(25\/10). Let r = 13 - 12. Sort 2\/7, l, r.\nAnswer: 2\/7, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41091 and 68485.\nAnswer: 205455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 3*i - 5. What is g(-4)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -232011 (base 5) in base 14?\nAnswer: -30a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 4, -2, -22, -6, -5 in descending order.\nAnswer: 14, 4, -2, -5, -6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/6)\/(68\/816).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12298?\nAnswer: 2, 11, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -6*i + 4 + 15*i + 3*i + 4*i - i**2. Does 34 divide y(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -122*f**4 - 7 - 612*f + 1214*f - 20*f**3 - 604*f + 15*f**3 as d*f + t + n*f**3 + h*f**2 + k*f**4 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 10*u**2 + u + 13. Let y be d(7). Let v = y - 164. Solve 3*c - 4*p - 1 = 4, 5*p - 14 = -v*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-162)\/3)\/((-2)\/27). Suppose -p + f = 245. Suppose -p = -r - 3*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w + 607 - 2*w + 605 + 4*w - 1208.\nAnswer: 12*w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-5))\/((-9)\/(-27))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6502211*3.\nAnswer: 19506633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g + 1. Determine d(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 102*u - 6. Let h be n(2). Let z = h + -291. Let j = -37 - z. Calculate the remainder when j is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4612678280 divided by -5?\nAnswer: -922535656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 51, 24 in increasing order.\nAnswer: -2, 24, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**5\/60 - 5*u**4\/24 - 2*u**2 + 4*u. Let p(d) be the first derivative of n(d). What is the second derivative of p(q) wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1226, 4796, 10740, 19052, 29726, 42756, 58136, 75860?\nAnswer: 95922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1896 - -1810. What is the third smallest value in p, 0, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 t, and 1 w when three letters picked without replacement from cttctcw?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 417 times 85?\nAnswer: 35445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwwwswwsssssws. What is prob of sequence ww?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 420700 divided by -491\nAnswer: -420700\/491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fourty-five halves of a millennium?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-108)*-2)\/(6\/36*-1)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**2 - 3*r + 1. Suppose 0*h + h = -3*o + 4, 3*h - 5*o - 26 = 0. Let b(x) = -9*x**2 + 7*x - 2. Calculate h*f(n) + 3*b(n).\nAnswer: n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - (-6 + 0))\/(2\/8). Solve p*h - 10 = q, q + 17 = 5*q + 3*h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 3 = -2*d. What is the lowest common multiple of d and (21\/6 - 3)*20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 3 - 2 - i**2 + 5 - 5 + 2*i**2 + (-17 + 23 - 81)*(0*i**2 - i**2 - 2*i**2).\nAnswer: 226*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*j + 4*j + 24. Factor -8*w + 7*w**j - 6026*w**3 + 6046*w**3 + 5*w**2.\nAnswer: 4*w*(w + 1)*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 - -487612.5.\nAnswer: 487612.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 23*x - 79. Let u be i(-26). Let m be (-9)\/(-6)*(-4)\/(-3). Let t(d) = 2*d**m + 5 + 2*d - 4 + 0*d. Calculate t(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + 3724\/(-126) - -15)\/((-77)\/1650).\nAnswer: 100\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-1*30\/(-90)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 1. Let p(q) = 3*q**3 - 340*q**2 + 9521*q + 6500. Let d(w) = -3*p(w) + 6*r(w). Determine i, given that d(i) = 0.\nAnswer: -2\/3, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 3 + 21. Suppose -4*p = -6*p - y. Let f = 15 + p. What is the remainder when 15 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5672423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p - 4 + 5 - 3*p. Let h(j) = -6*j - 7. Let c(a) = -14*d(a) - 2*h(a). Let v(u) be the first derivative of 2*u**3\/3 - 2. What is v(c(x))?\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 31. Suppose s + 5*b = 971 - 215, 0 = -5*s - i*b + 3696. Suppose 2*t - y = 368, 0 = -4*t - 2*y - 0*y + s. Is t a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*c**3 + 1056*c**2 + 540*c + 68 = 0. What is c?\nAnswer: -1\/4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 5)*(7*t**3 + 0 + 0) - t**3 - 3*t**3 + 0*t**3.\nAnswer: -25*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10466 to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -8*o - 26. What is the lowest common multiple of k(-4) and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u\/((u\/(u\/u**(-6)*u)*u)\/u*u*u))\/u*u))\/u*u\/(u\/u**(-1\/5)))**48 assuming u is positive.\nAnswer: u**(-1488\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*g**2 - 53\/2 - 79*g.\nAnswer: (g - 53)*(3*g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 546\/56 - (-3)\/(-4). Suppose 3*c + c - 4*q - 12 = 0, 5*q = 3*c - r. Let s(k) = -k**2 - 2*k + 2. Let i(z) = -2*z**2 - 4*z + 4. Determine c*i(x) - 7*s(x).\nAnswer: x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -13*w**2 + 3292*w + 41428. Give a(-12).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2086*x + 1. Let r be 27\/5 + 2\/(-5). Let y be t(r). Let j = -3169 - y. What is j rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/8219 and -55\/8.\nAnswer: 65752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 3*r - 23 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -k**2 + 0 + 5*k - 1\/3*k**3. What is the first derivative of b(p) wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38*i**5 + 17*i**2 + 37*i**5 - 73*i**5 + (-i**3 - i**3 + 3*i**3)*(-3*i**2 + 2*i**2 + 0*i**2).\nAnswer: i**5 + 17*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.154 - -0.054. Suppose 4*n - 82 = -3*r - 53, 0 = -2*r + n - 21. What is the second smallest value in 1\/2, r, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-24))\/((-2)\/(-24)). Let a = q - -17. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3668*s**3 - s**2 - 3*s - 6. Let m(h) = 18341*h**3 + 5*h**2 + 16*h + 30. Let i(y) = 2*m(y) + 11*w(y). Let x be i(3). Round x to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 14*t - 6. Let g be j(2). Suppose -4*f = -6*f + g. Suppose 0 = -3*s - 2*m - f, 2*s + s - 2*m + 31 = 0. Let c(w) = 2*w + 10. What is c(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 + 4*b - 1. Let f be a(-3). Let j = 0.1 - -0.1. Sort 0.5, j, f in descending order.\nAnswer: f, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 + 14*c - 7. Let z be m(6). Let v(n) = -3*n**2 + 6*n. Let g(p) = -3*p**2 + 7*p. Determine z*v(o) - 4*g(o).\nAnswer: -3*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 701 - 28 + 1703 = -594*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**5\/4 - 165*j**4\/4 + 1475*j**3\/4 - 2235*j**2\/4 - 2395*j - 1425 = 0.\nAnswer: -1, 6, 10, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -148.1 + 72.7. Let t = d + 75. Sort -3, t, 0, 1\/5 in decreasing order.\nAnswer: 1\/5, 0, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 9*(-30)\/(-54).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - 23. Let i = -13 + l. Let s = i - -7. Solve 3*x = -s*k - 18, -k - 5*x - 10 = 16 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229595.7km in millimeters?\nAnswer: 229595700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 957?\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 4*x + 18. Let j be y(-6). What is the highest common factor of j and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31387 is divided by 133?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -350 + 350. Suppose p = g + 4*g + g. Solve 4*m + g*m = -8, 4*q = 3*m + 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(o*((o*o*o*o*o\/((o**(-4\/9)\/o)\/o)*o)\/o)\/o))*o\/o**(-17)*o*o*(o**5)**(1\/18) assuming o is positive.\nAnswer: o**(499\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -5*q**5\/12 - q**4\/12 + 31*q**3\/6 + 182*q**2. Differentiate h(w) wrt w.\nAnswer: -50*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 5380?\nAnswer: 5380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021142120 (base 5) in base 10?\nAnswer: -2130910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -745, -880, -775, -310, 635, 2180?\n\"Answer: 20*j**3 - 275*j - 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 5:55 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5744 by -1155.\nAnswer: 5744\/1155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (-25)\/(-15)*3\/15*798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a - 11. Calculate b(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4948*y - 2339 = 4849*y - 656 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.4 + 2.4. What is the closest to 0.039 in k, 0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 620 and 1480?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 235458115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*z = 3*a + 39, -4*a - 3*z - 15 = 0. Let w = 7 + a. Solve -3*p = -w - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-13397.\nAnswer: -1339.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m. Let c be f(-3). Let n(o) = c + 3*o + 3*o - o. Suppose -3*k - 12 = 4*q, 0 = k + 2*k - 4*q + 12. Let d(v) = -14*v - 8. What is k*d(h) - 11*n(h)?\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112)\/sqrt(175))\/sqrt(4))\/(sqrt(24)\/sqrt(192)))**2*-2.\nAnswer: -64\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -13867235*b. Let z(h) = 13*h**2. Give w(z(i)).\nAnswer: -180274055*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 65935928.\nAnswer: -5\/65935928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -x + 26. Suppose 4*c = 1 + 83. Suppose -3*b = -5*d - c, 3*b + 4 = -5*d - 5. Solve -x = -3*q - b*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.78 in 0, -2\/195, -4\/7, 61?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.2 (b) 4 (c) 153\/5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from atwfawwtlawwanwntw. Give prob of sequence wwnn.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*b + 3. Suppose -k = -b*k + 154. Is 20 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3936577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 125595*y - 125607*y + 276 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3631 - -3630. Is -3\/1928 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 5*f**4 + 265*f**3 + 5175*f**2 + 43875*f + 135000 = 0?\nAnswer: -15, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/5)\/f*f*(f**(-26)*f)\/f*(f\/((((f**(2\/9)*f)\/f*f)\/f)\/f*f))**(-32) assuming f is positive.\nAnswer: f**(-2281\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**5\/20 - 7*w**4\/4 + 35*w**3\/6 + 23*w**2\/2 - 6641*w. What is j(19)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -320?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*n - 23*n = -14*n + 1536 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/627 and -35\/513.\nAnswer: 5643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1964549665?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5877 - -117549\/20. Let o(w) be the second derivative of -6*w + 0*w**2 - 1\/4*w**4 + 0 - q*w**5 + w**3. Factor o(p).\nAnswer: -3*p*(p + 1)*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**42\/x)\/(x\/(x**(-1\/4)\/x)))\/(x**(15\/8))**8 assuming x is positive.\nAnswer: x**(95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10*(-7)\/(-56)*2\/(-5). What is the closest to w in -2\/13, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -105.7 + 102.7. Sort 0.4, 0, u, 1\/5 in decreasing order.\nAnswer: 0.4, 1\/5, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21.885 - 0.115. Is m greater than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 4*q - 484, -5*f + 57*q - 59*q = -619. Find the third derivative of 24*m**2 - 37 + 14*m**2 - 9*m**3 + 36 - m**2 - f*m**3 wrt m.\nAnswer: -792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**25\/a**0)\/((a*a*a\/((a*(a*(a*a**(-13\/4)*a)\/a)\/a)\/a))\/a**(-19)) assuming a is positive.\nAnswer: a**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0.24. Let u = l + 0.34. Let g = -23\/30 - -3\/5. What is the smallest value in -0.4, u, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -5, 209 in descending order.\nAnswer: 209, 41, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 44*x**2 - 196*x - 4. Calculate z(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 * 57788\nAnswer: 6934.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o. Let i(l) = -6*l. Let s(j) = 3*i(j) + 8*m(j). Let n(d) = 10619*d + 77. Let r(u) = -276*u - 2. Let k(p) = 4*n(p) + 154*r(p). What is k(s(t))?\nAnswer: 56*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 5*t - 10, 0*h + 2*t - 4 = -h. Let s be (-5)\/((-3 - -1)\/2). Let x be ((-328)\/56 + 6)*21. Solve -2 + 9 = s*r - 3*b, r + b - x = h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**6 + l**5 + 2378*l**3 - 5*l**2 + 9*l + 66?\nAnswer: -120*l**3 + 60*l**2 + 14268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 330\/(-12)*12\/5. Let a be (1 + 11)*(-5 + u\/(-12)). Solve 5*m - 11 = -a for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 40*k**2 + 1. Suppose 0 = 4*b - 3*p + 248, -2*b - 5*p - 310 = 3*b. Let u = b - -63. Does 12 divide v(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-28)*(-39)\/(-9)*60\/(-15).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-2) - 2\/2. Let y = 20 - 30. Let i be y\/(-4)*16\/10. Sort q, -3, i in ascending order.\nAnswer: -3, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.94 + 6. Let n = d - 9.06. Which is greater: n or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3*r - 24. Solve 0*h + 8 = r*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/43920 and -67\/336.\nAnswer: 307440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*k + 2*t - 18, 3*k + 27 = 2*t. What is the tens digit of (51\/9)\/((-3)\/k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -135\/707 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x = 18994 - 868. List the prime factors of x.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 5*n + 5117, 4*q - 2*q - 3422 = 2*n. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1812 and -81?\nAnswer: 1893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njnjnjjjjtjtn. What is prob of picking 2 t?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**4\/(j**(-2\/7)*j)*(j**3\/j)\/j*j**(-4) assuming j is positive.\nAnswer: j**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9b - -7?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxxdddxuedyuxxd. What is prob of picking 1 e and 1 u?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3. Suppose 5*o + 25 = 0, 2*d + o = 2 - 1. Suppose d*i + 2*f + 0*f - 347 = 0, 3*f - 12 = h. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 5*j**4\/24 + 13*j**3\/6 + 18*j**2. Let k be b(-2). List the prime factors of (-1)\/(k - 1072\/356).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 times -0.2?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 27. Suppose i*f + 66 = 10*f. What are the prime factors of (-1128)\/f + 6\/(-33)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -73410300.\nAnswer: 73410299.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -189, 0, 5, -5, -10, -70 in descending order.\nAnswer: 5, 0, -5, -10, -70, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-2)\/(-4) + 20608\/(-1344) + (-2 - -15).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w + 4. Let g(i) = -57*i - 15. Calculate -g(l) + 6*q(l).\nAnswer: 33*l + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**5 - 6962*j**4 - 6076052*j**3 - 30220328*j**2 - 12026960*j + 48330304 = 0.\nAnswer: -1738, -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 4*f)*(-2*f**3 - 4*f**2 + 3*f**2 + 10*f**2)*(-1 + 5 - 1).\nAnswer: 24*f**4 - 108*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**2 - 3*z - 3. Let r = -83 + 88. Let d(o) = 4*o**2 - 3*o - 4. Let t(m) = r*l(m) - 4*d(m). Calculate t(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 divide 617243758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 404 = -8*q - 16*q - 118 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/z**(2\/11))\/z))**(7\/4)\/(((z\/(z\/(z\/z**7*z)))\/z)\/z**(3\/16)) assuming z is positive.\nAnswer: z**(1453\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 0. What are the prime factors of (-2)\/3*k + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 + 250*z**2 - 6566*z - 80802.\nAnswer: -2*(z - 67)**2*(z + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bbec + 4?\nAnswer: bc01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + g - 157 = 0, 3*t - 2*g + 6*g = -108. Let b be 126\/8 + (-8)\/t. Solve 3*i + b = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1283 is divided by 129.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 5)\/((-8)\/(192\/18)). Suppose 1 = -x*b + 17. Suppose f = -b*r - 4, -11*f + 6*f = -4*r - 4. Let s(k) = k + 3. Give s(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -14 - 6*z + 8 + 14*z + 9. Let x be (3\/((-3)\/2))\/1. Calculate t(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 8*h**5 - 27*h**4 + 8*h**3 - 11*h. Let c(l) = -4*l**5 + 14*l**4 - 4*l**3 + 6*l. Let n(q) = -11*c(q) - 6*x(q). Factor n(d).\nAnswer: -4*d**3*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -13*h + 28. What is the greatest common divisor of h and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -33*t**3 - 140*t**2 - 57*t - 124. Give k(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(2\/9)*i**3*(i\/(i\/i**(1\/4)*i*i))**2)\/(i**(-2\/19)*i**(1\/6))**(-34) assuming i is positive.\nAnswer: i**(1151\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 73.6 * 39.\nAnswer: 2870.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.05952 and 0.1?\nAnswer: 0.04048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 284, 656, 1096, 1598, 2156, 2764?\nAnswer: 3416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4647 + 2?\nAnswer: -4645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 + 124 + -2 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4729485 to the power of 1\/2, to the nearest integer?\nAnswer: 2175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1080 + -1)*10\/45. Let p = j + -240. Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-495) + 2\/(-15).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-15) + (-108771032)\/(-2040)?\nAnswer: 3, 7, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/8 (b) 0.5 (c) 1 (d) -0.06 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 530.077621 rounded to the nearest ten?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v + 44. Let f be w(10). Solve 4*u - 16 + f = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 1 + 3. Let x be ((-13)\/(-4))\/(b\/(-16)). Let z = -215 - -306. What is the greatest common factor of x and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (45\/21 - 3)\/(2\/(-7)). Suppose -5*c + 5*p = 2*p - 3491, -c = -v*p - 691. Does 50 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322*q**3 - 644*q**3 + 21*q**3.\nAnswer: -945*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*(n**3\/n)\/n*n\/(n\/(n**(-6\/19)*n*n*n))*n)**(-8\/7) assuming n is positive.\nAnswer: n**(-1168\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*a + 41*a = 3*i - 6, 4*i = -4*a + 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -14*x**2 + 30*x - 30. Let f(c) = 3*c**2 - 6*c + 6. Let k(n) = 11*f(n) + 2*j(n). Let v be k(2). Let p be 34 + (-1 + -2 - (9 - v)). Is p > 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 60128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1133598521.\nAnswer: 11, 103054411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (22\/(-10) - -2)*0\/197. Sort -1, q, -4, -26, 4 in ascending order.\nAnswer: -26, -4, -1, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44188399?\nAnswer: 44188399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y + 40. Suppose -z - z = -5*o - 25, 5*o = 5*z - 55. Let q be g(z). Suppose 23*u - 19*u - 104 = q. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-3)\/1)\/(-47 + 25)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -965.6 - 5.\nAnswer: -970.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 3759 = 652 + 5941. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37 - 28) + 1 - (5 - (-2 + -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6205744.\nAnswer: 2, 83, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*w - 211*w - 71*w + 4540768 = 0. What is the greatest common divisor of w and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.059 at most as big as 8462.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k = 0. Suppose o + 8 = -0*o + j, -5*o + 2*j - 37 = k. Does 4 divide 2 - (-4 + 1 + o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 34*m + 384. What is j(-44)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -6*d**2 - d + 6. Determine n(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 219030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17476 + -332026\/19. Let -n*m + 2\/19*m**5 + 12\/19*m**4 - 12\/19*m**2 + 0 + 16\/19*m**3 = 0. Calculate m.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b*o - 3*b*s**2 - 1299*o*s**2 - 25277*o + 4*s**2 - 2*s wrt s.\nAnswer: -6*b*s - 2598*o*s + 8*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 - 1417*r - r**2 + 1417*r + 3*r**2 + 405.\nAnswer: -2*r**2 + 405","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36864023 and 5052?\nAnswer: 442368276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 49\/8 (c) 7\/3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 10*a**2 + 1808*a + 992. What is i(-181)?\nAnswer: 1354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 150 - 119. Suppose -3*q = -2*j - 2*j - f, j = -q + 1. Solve -5*d - z = q, -z + 5 - 1 = -4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3786237 is divided by 408?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 18*x + 43. Let o be p(-15). What is the remainder when 30 is divided by (11 + 3)\/(-4*1\/o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -389 + 394. Suppose 5*z + j = 5*y - 0*z, 3*y = 4*z - 1. Let l = -8 + 11. Solve -5*f - 17 = -v + y, -2*f = -l*v + 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14168 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -8*f - 18. Let j(p) = p + 1. Let i(w) = g(w) + 12*j(w). Does 13 divide i(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1006914, -2013659, -3020422, -4027209, -5034026, -6040879, -7047774, -8054717?\nAnswer: -9061714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/(-10))\/(-10 - 134490\/(-13450)).\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 169671816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = q - 30. Let b = 10 + q. Let l(m) = 6*m**2 - 3. Let g(i) = -11*i**2 + 5. Let x be (-5)\/((-40)\/(-28))*-2. Calculate b*g(p) + x*l(p).\nAnswer: -2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 315751770 and 5670.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -7670591.882 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**2 - 61*p - 66. Determine l(-13).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 794 and 83767?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 13*n - 62. Let t be l(6). Let s = t + 12. Let v(g) = g**2 - 23*g + 43. What is the hundreds digit of v(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/18*(-3)\/7. Let t = -5.91 - 0.09. Let d = t + 8. Which is the smallest value? (a) -3 (b) d (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/40 of a second?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = v + 11, v + u + u = -18. Suppose 0*j - 3*j + 60 = 3*i, 0 = -2*i - 5*j + 52. Let n be (-21748)\/v + 12\/i. What is n rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -176?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -50.4. Let s be (-7)\/(-9)*(-45)\/(-6). Let g = 6 - s. Which is the nearest to -6? (a) g (b) 1\/8 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 1, -413, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*l + 1 - 10 + 2 - 32*l as d*l + x and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgzqnzrazaqana. Give prob of sequence qqa.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3357, -3351, -3341, -3327, -3309, -3287, -3261?\nAnswer: -3231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 25*h - 33. Is f(5) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.087108 millennia in years?\nAnswer: 87.108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 446915?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 100402*o**2 - 13547*o + 4 wrt o?\nAnswer: 200804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-8)\/(c*c*c**9\/c))\/(c\/(c*c\/(c\/(c\/c**1))))**(-3\/2))**(-20\/9) assuming c is positive.\nAnswer: c**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7143.7606 - -7143. What is h rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 49 in 65, -2, -28?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y. Suppose 14*r - 517 - 659 = 0. Let o(x) = r + 5*x - 84. Determine o(n(f)).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**3\/3 - g**2\/2 - 396. Let l(a) = -3*a**2 + 3. Determine l(h) - 4*s(h).\nAnswer: h**2 + 4*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 4. Suppose 5*h - 30 = t + 12, 5*h + 5*t - 30 = 0. Suppose 4*v = 2*v + h. Give l(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410\/(-1650) - (-134)\/2010?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*j - 3*j - 66 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 486 and 1080.\nAnswer: 9720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.66 and -19.48.\nAnswer: -18.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85 - 11. What is the remainder when n is divided by 29 - (-6)\/2*-1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 254 = 9*k, -m + 1174 = 4*k + 1293 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 213*s. Let k(m) = 586 - 586 + 1884*m + 4*m**2 - 1884*m. Calculate g(k(p)).\nAnswer: 852*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(4 - 3)*2. Suppose -5 = 3*c - d. Let m(p) be the first derivative of 2*p**3 + 9. Calculate m(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -23 + 3*i**2 + 7 + 14. Let r(n) = -n**2. Let o be (11 + -15)*(1 - (-2)\/4). Give o*r(m) - g(m).\nAnswer: 3*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 1238864.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(2) + 3 + -5 + (sqrt(3) + (1 + sqrt(3) - sqrt(3)))**2.\nAnswer: 2 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.773213 and -1.6.\nAnswer: -2.8371408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19.88 + 21.1. Let k = -7.92 + t. Which is the closest to k? (a) 2\/9 (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*p**2\/5 - 252243*p\/5 + 68796\/5.\nAnswer: -3*(p + 7644)*(11*p - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 + 31 = -5*f. Solve -3*h + g + f*g = -18, -g - 3 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 - 3349 = -4*w + k, -6 = 3*k. Calculate the remainder when w is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1632 and 2755360?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 379172831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 786 + -3949\/5. Let d = -2.6354 - -2.68. Let x = 0.0554 + d. Which is greater: a or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*((-5 - -3) + 14). Let z = k - -12. Solve -5*v + 3*g + 9 = -1, 3*v + 2*g + 13 = z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 163767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 + 11 - 17 + 38)*(3 + u - 4*u + u) in the form i*u + h and give i.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58112 and 64?\nAnswer: 58112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47707247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 55167216 (base 8) to base 6\nAnswer: 1102052022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.75245 litres to millilitres.\nAnswer: 35752.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**2 + x - 6. Let b be o(3). Solve b = 4*z + 3*t - 7*t, 4*z - 29 = 5*t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -98, -81, -58?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38465 is divided by 168?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -180? (a) -0.2 (b) 0.21 (c) 64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 21 = -3*r, -4 = -377*r + 375*r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 + -0.0263. What is t rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1413506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -344, -342, -340, -338, -336?\n\"Answer: 2*w - 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**4 + j**2 - 184391 + 184391 + 427*j as y*j**2 + k*j**4 + o + l*j + g*j**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1550)\/(-93) - (-2 + -1) - 24\/36. Calculate the greatest common divisor of d and 437.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 11*p = -8*p - 10, 0 = -2*p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -597801 (base 14) to base 12.\nAnswer: -1034389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((27\/(-18))\/(-3))\/(15\/(-180))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 24*u**3 + u**2 - 4*u + 2. Suppose 5*n - 5 = 0, 4*t + t - 331 = -n. What is the remainder when t is divided by y(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 60*(0 + 4*20\/32). Calculate the highest common divisor of c and 615.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 190 + -60. Let d be -26*(-2)\/6*3. Calculate the highest common divisor of g and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z + 29*z = -18. What is the hundreds digit of (-2785)\/(-10)*2*(-4)\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, j: 1, d: 2, h: 1}. Give prob of sequence ho.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -1)*12\/(-36). Suppose 0 = g + l + 83, 0 = -2*g - w*l + 2*l - 154. Round g to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1147 + -1146.5. Let h be 5\/2*(0 + -12). What is the nearest to 0 in -4, h, -1\/6, y?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*i - 1358*i**2 - 12 + 12 + 20*i - 798*i**2 as p*i**2 + y + z*i and give p.\nAnswer: -2156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 1:13 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1580743650.3 rounded to the nearest 10000?\nAnswer: -1580740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -524 (base 9) to base 15\nAnswer: -1d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 12 = 2*m, 365*m + 76 = 297*m - 4*t for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 239108 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 17.1 and -44690.43?\nAnswer: 44707.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (sqrt(7)*-2 + -3))**2 - sqrt(7)) + -5 + (sqrt(28)*-2 - (sqrt(56)\/sqrt(2) + sqrt(28) - sqrt(7)))**2.\nAnswer: 17*sqrt(7) + 410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i = 2682. Let k(b) = b**2 - 25*b + 24. Let f be k(21). Let n = i - f. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24815 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xyxayw. Give prob of picking 2 x, 1 y, and 1 w.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 5:38 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -82 - 1436344?\nAnswer: -1436416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*p**3 + 25872*p**2 - 273870 wrt p?\nAnswer: 24*p**2 + 51744*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-18) + (-156)\/27. Suppose 0 = 3*s + 15, -11 = -p + 5*s - 1. Let t = c - p. Calculate the lowest common multiple of 2 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -2 + 4\/(-10). Let w be ((-12)\/(-10))\/2 + -1. Which is the closest to w? (a) y (b) -2\/9 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 181 - 170. Let u = -59 - -59. Which is the closest to u? (a) -5 (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.59 or -6.8?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -11*a + 281. Let t(h) = 15*h - 385. Let v(n) = 8*t(n) + 11*z(n). Give v(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1504 - 1504 + 19*u.\nAnswer: 19*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*r**3 + 1038*r**2 - 2340*r + 584.\nAnswer: -(r - 146)*(r - 2)*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a - 15*a**2 - 2*a - 3*a. Let j(f) = 4*f + 45. Let x(h) = 9*h + 105. Let q(i) = 7*j(i) - 3*x(i). Calculate z(q(m)).\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-6) - (6 + -3))*((-522)\/(-30) - 6)\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24829 is divided by 82?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -0.45. Let j = o + -0.05. Which is the nearest to 2? (a) j (b) 0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - i**2 + i + 2. Let l(g) = g**3 - g**2 + g + 3. Let b(s) = -6*l(s) + 5*n(s). Suppose -2*y - 3*y = 0. Determine b(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r + 12. Let m(t) = 25*t**2 + t + 15. Determine c(m(f)).\nAnswer: -50*f**2 - 2*f - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000000111 (base 2) in base 6?\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3016596 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/17))\/(a*a**(4\/5)*a) assuming a is positive.\nAnswer: a**(-148\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2) + (-32 - 2590\/140).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, h: 2}. What is prob of picking 1 b and 2 h?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from ukiqjjv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 5:23 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1157 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: Collect the terms in -3*x + 8637 + 2*x - x + 3*x.\nAnswer: x + 8637","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.02816103485 - 273\nAnswer: -272.97183896515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 8 + -65 + 15\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-182*h**3 + 377*h**4 + 183*h**3 + 953*h**4)*(0 + 2 + 0).\nAnswer: 2660*h**4 + 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1\/21))**27*o**(1\/5)*o**(1\/29)\/o assuming o is positive.\nAnswer: o**(27933\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-2)\/(-12))\/(63\/(-567)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 7 - 5 + 0 - 3*j**4 + 2*j**2 + 4*j**3 + 3*j to p*j**4 + q*j**2 + x + u*j + z*j**3 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((2 - 0)\/4). Let i be n\/4 - (-2)\/6. Let g be ((-24)\/8)\/((-6)\/10). Which is the third smallest value? (a) i (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.161069 rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y - 1. Let v(s) = 5*s. Let i(h) = 4*v(h) - 6*z(h). Let w be i(1). Solve -w*b = 2*q - 4, 3*b + 4 + 5 = 2*q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7647*i = -1494*i - 237666 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 454107213 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from {i: 2, e: 2, c: 2, v: 3, a: 1, r: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3\/2 - 347*x**2\/6 + 284*x\/3 + 38 = 0. What is x?\nAnswer: -1\/3, 2, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 - -96. Suppose 3*x = 2*c - 93, -c + 9 = -x - 21. What is the remainder when z is divided by 22\/77 + x*10\/(-21)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 460 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*g - 2*r, 5*g - 3 = 4*r + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 7 + (3 - -10) + 8\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhgb when four letters picked without replacement from hihgcchcchbhigbhai.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 6153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 2 + -7)*-1. Suppose 22*m - 34*m = -5232. Let h = m + -433. Solve 4*x = -h*i - 19, 3*x - y*i + 10 - 3 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8, 3, 0 in decreasing order.\nAnswer: 3, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 divided by -51?\nAnswer: -139\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2010 divided by -402?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, s: 4, x: 5, p: 4}. What is prob of picking 1 s, 1 x, and 2 z?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 e, and 2 b when four letters picked without replacement from cbbpbcwwcebpcw?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 17 = 3*u, c + 2*u = 1 + 2. Suppose -5*g = k + 17, g + 28 - 30 = -2*k. Solve 3*a - 5*a - c*m - 20 = 0, k*m = 5*a + 19 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*y**2 - 96*y**2 + 227*y**2.\nAnswer: 26*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 588 and 29351.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 20 = 4*z + 5*t, 0 = 4*t. Let u = -14 + 13.8. What is the closest to u in 3, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -1\/2, -57, 138.4, -0.3.\nAnswer: -57, -1\/2, -0.3, 0, 3, 138.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -j - j + 78, -2*w = 8. Is 45 a factor of (2 + -212)*(-30)\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 26 + -20 + (3 - (1 + 2)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/37 + 1402\/407. What is the common denominator of (-2 - -1)*(-43)\/(-7) and f?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4078423614?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 303, -2 in descending order.\nAnswer: 303, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404641 is divided by 134840.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 15*c + 2 + 486*c**2 - 2 - 612*c**2 as n*c**2 + r + u*c and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + 1 - (-2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98\/23 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + 60\/(-52)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 155142 and 9627066.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1401350432 - -45?\nAnswer: -1401350343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 10*h**2 - 11*h - 13. What is t(11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 85 + 113 + 51)*(-n**2 + 0*n**2 + 0*n**2)*(8*n + 0*n - 2*n).\nAnswer: -1554*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 3, -9, 2, 1.\nAnswer: -17, -9, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + r**2 - 2*r + 79. Let y = -38 - -38. Suppose -v + y*v - 5*v = 0. List the prime factors of x(v).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/5808*22)\/((-5)\/(-2365))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -316*a + 77547. Calculate k(248).\nAnswer: -821","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -537, -1095, -1649, -2199, -2745, -3287?\nAnswer: -3825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246*d**3 - 28*d + 31*d**3 + 28*d.\nAnswer: -215*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/1491 and 94\/195951.\nAnswer: 13912521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -692 or -0.02?\nAnswer: -692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/4 (b) 57 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*t = 74 - 216, -4*r + 4*t + 296 = 0. Suppose -r*y = -79*y + 180. Calculate the least common multiple of 60 and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1756.974 grams to tonnes.\nAnswer: 0.001756974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 68 = -0*i. Suppose 46 + i = w. Suppose k + w - 91 = 0. Is 11 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/19? (a) 241 (b) -208.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*p - 71*p + 51 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -29.9*13\nAnswer: -388.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*m - 81*m + 7545*m**3.\nAnswer: 7545*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 84\/(-18))\/(1335\/165 + -8)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1884332143?\nAnswer: 263, 7164761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 8*z**2 - z + 1 - 20*z**2 + 7*z**2. Suppose 4 - 6 = -2*a. Suppose -4 = -5*s + a. Give q(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10805492 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3383*c - 165637. Calculate l(49).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -3*b + 93. Let a = -8 - b. Let m(t) = -t**2 + 4*t + 27. Let p be m(5). Which is smaller: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**3*h**2*v**2 - 233*f**3*h**2*v + f*h**2 + 5532844*h**2*v**2 + 70*h*v wrt v.\nAnswer: 2*f**3*h**2 + 11065688*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3 = 0, -l = 2*f - 185 + 29. Suppose 0 = -5*h + l - 7. Suppose -h = -b - 8. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24268482 divided by 8089494.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -6*g - 75. Let b be z(-18). Suppose -6*k - 9 + b = 0. Solve k = y + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -22. Suppose -8*q = -y*q. Let n(a) = -3*a + 27. Let c be n(q). Calculate the greatest common factor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(119) + sqrt(119) + sqrt(119) + (sqrt(119)*2 - sqrt(119))*-5 + sqrt(119)))\/(3*sqrt(84)\/(sqrt(12)*1 - sqrt(12) - sqrt(12))))**2.\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 0*p**3 + 19*p + 0 + 0*p**2 + 4\/5*p**5 - 1\/3*p**4. What is the third derivative of q(v) wrt v?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from niinq. What is prob of picking 1 q and 2 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 25 = 5*h + 10*h, 4*d - 3*h = 23 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/3))\/(r*r**0)*r**7*r*r**(-1)*(r*r\/(r**(1\/3)*r)*r)**(-18\/11)\/(r**(-1\/7)\/(r\/((r\/r**(-1))\/r))) assuming r is positive.\nAnswer: r**(1097\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/16 - 51\/(-4). Let h(s) = -3*s + 3. Let u be h(5). Let n = u + c. Put -5, -2, n in decreasing order.\nAnswer: n, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 3:43 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 0.2, 473, 1.46?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -27 + (-5 - -2) - -8\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33043 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 188 (b) -0.096 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 5:00 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -21 (c) -0.00729 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 697515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -101 (b) -158 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, 406, -4 in increasing order.\nAnswer: -4, 45, 406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**2*q**2 - 111459*a**2*q + a**2 + 38*a*q**2 + 6*a + 320*q - 2 wrt a.\nAnswer: 6*q**2 - 222918*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 6:41 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7766 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9600 and 44900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -344.458 and 2.\nAnswer: -342.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3022, 3150, 3278, 3406, 3534?\n\"Answer: 128*l + 2894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-552) - (-852)\/(-6532)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 754194 and 1092.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.0612, -0.04, -3, -2\/3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 4 + 2 - 4 - 11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, -2, -3, 3, -1475, -5.\nAnswer: -1475, -89, -5, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0, 2, -0.09, -1.\nAnswer: -1, -0.2, -0.09, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286408751.\nAnswer: 1951, 146801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*z + 2. What is the second derivative of 3*t - 2*t**z - 2*t - t**4 + t wrt t?\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 18513 = 4*g. Suppose 2*d = -496 + 60. Let y = d - g. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t, 2*t = 3*u - 0*t + 3. Put u, 1, 2 in decreasing order.\nAnswer: 2, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h + 2 = 0. Let q(t) = -2 + 0 - h + 3*t - 2*t. Let c be q(8). What is the greatest common divisor of 10 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**3 + 1281*l**2 + 2305*l**2 + 28*l**3 - 4*l**3.\nAnswer: 19*l**3 + 3586*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -27040.35?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 - 6*h**3 + 3*h**3)*(h**2 + 5*h**2 - 3*h**2).\nAnswer: -12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 48 = 2*p. Calculate the highest common factor of 24 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/10)*c\/(c\/((c\/c**2)\/c))*(c*c*c**0*c*c)**(-43)*(c**(-1\/2))**(1\/7)\/(c**(-2\/11)*c\/c**(-3)) assuming c is positive.\nAnswer: c**(-68526\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 48 - 42 = 0. Suppose -18 = -0*n - w*n. Solve 2*j + 0*j = n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133211 - 33333?\nAnswer: 33212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 5*g**2 + 3. Let j be f(-5). Let w(d) = -j*d + 5*d - 5*d. Let y(t) be the third derivative of -t**5\/60 - 12*t**2 - 3*t. What is w(y(m))?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1709937?\nAnswer: 3, 63331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-35722.6413437\nAnswer: -35722.4413437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 1104953728.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = l + 9. What is the smallest value in -8, l, 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 347 + -352.3. Round u to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 13. Let a = 5 + -2. Suppose -a*k - 2 = -4*k. Solve -i*n + 17 = 3*o - k*o, 3*n = -o + 13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence df when two letters picked without replacement from rpdedrfrfeekekdfd?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/4)\/(54\/(-36)). Let x(w) be the first derivative of 0*w**2 - g*w**3 - 2\/5*w**5 + 0*w + 0*w**4 - 3. Find the third derivative of x(m) wrt m.\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8.7 (b) 3\/5 (c) 1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8040*(-17)\/(-255)*25.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -9 (b) -31 (c) -2\/241 (d) -4 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 566 - 1157 + 118*y + 660 - 108*y. Give k(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 35*b + 625. Calculate s(-41).\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(7 - (0 + 1)). Let m = 4 + -17. Let b = -16 - m. Are g and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 988 and 47532072.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63456, -63805, -64150, -64491?\nAnswer: -64828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*t = 0, -h - 2*h = -2*t + 2. Let c be 3\/h*28\/(-21). What is the common denominator of 25\/22 and c\/(-9) + 4974\/(-216)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1880 + -1865. What is the closest to 0.02 in 2, 0.4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*n**2 + 8*n**2 - 5*n**3 + (-2*n + 3*n + 2*n)*(0 + 0 - n**2) + 0*n**3 + 0*n**3 + n**3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b + 37483650040*b**2 - 2*b - 37483650043*b**2.\nAnswer: -3*b**2 - 15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 506315*l**2 + 646242*l**2 + 623216*l**2 - 33344*l**2.\nAnswer: 1742429*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**3\/3 - 2*n**2 - 7*n. Let k be g(4). Solve -d = k*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 bigger than -2023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s**2 + 3*s + 1. Let a(t) = 10*t**2 - 22*t - 9. Let x(d) = a(d) + 2*c(d). Give x(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85827 to the power of 1\/2, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 341 = -3*a, -184*a = -182*a - o + 219 for a.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-12)*-2)\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*i + 16, 0 = 81*h - 79*h + i - 10. Solve 16*x = 18*x + h for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -102, -147, -192, -237?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4827026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3953456 and 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -2*s - 2*k + 12, -3*k = s - 1. Differentiate 11 + 24 - 10 + 13 - 43*p**s with respect to p.\nAnswer: -172*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 7 = 3*c, 2*c - 8 = -z + 5*z. Let r(i) = -5*i**2 - 3*i**2 + 6*i**c. Let w(t) = -3*t. Determine w(r(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 95*w + 1811. What is o(-30)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 415 + -263. Calculate the greatest common factor of 532 and k.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r. Let g be u(4). Let k = g + -4. Let p be k*(3\/(-2) + 2). Solve 2*l = -p*s - s + 19, -s + 5*l = 22 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2.95, 210.\nAnswer: -2.95, 0.2, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -764*f + 229. Is q(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 14. Suppose 4*n - 4*u + u - 28 = 0, i*n - 35 = u. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -8*b**2 + 2*b - 5. Let q(v) = -6*v - 3*v + 30 + 4*v**2 + 35*v**2 - 6. Let r(k) = -24*i(k) - 5*q(k). Suppose r(n) = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxxxdxxydydpxxxx. Give prob of sequence xx.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2.1 * -974\nAnswer: -2045.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 1020312?\nAnswer: 1020323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (16\/20)\/((-2)\/10)*(-149621)\/628.\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.7 or -0.0154?\nAnswer: -0.0154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17499 and 21359832?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -68, -128, -188?\n\"Answer: -60*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1158 + 1167. Let o(z) = 17*z + 3. Let j(c) = 35*c + 7. Calculate y*o(a) - 4*j(a).\nAnswer: 13*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**2. Let k(a) be the first derivative of -3\/4*a**4 + 0*a**3 + 0*a**2 - 14*a - 19. Let d(y) be the first derivative of k(y). Give g(d(q)).\nAnswer: -243*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 616 = -12*g. What is the remainder when g is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3813 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3811 and 2.\nAnswer: 7622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -51*a + 10. Let y(s) = -109*s + 18. Calculate 7*g(o) - 4*y(o).\nAnswer: 79*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(-2))\/(75998\/(-8444) + 9) 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 {h: 1, t: 1, x: 1, y: 3, w: 1}. Give prob of sequence htx.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 7 = -x, -2*f - 4*x - 29 = -9*x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -2 - (3 + -4 + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 6*a + 11. Let x = 15 - 25. Is s(x) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 f when four letters picked without replacement from fbbbbqobbbmfobmq?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -382 times 0.3\nAnswer: -114.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, w: 2, q: 1, b: 7, m: 1}. What is prob of sequence wfqf?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*1*15\/45. Suppose -92 = -x*p - 28. Let c = -15 + p. Calculate the greatest common factor of 34 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - y = -7, -2 - 2 = 4*y. Suppose -4*f + r*f + 586 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 307699 and 2373?\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410245477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 + 11*k**2 + 7*k - 2. What is d(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 32*r**2 + 89*r + 202. Let d be h(-29). Calculate the highest common divisor of d and 1200.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69\/28 + 1\/28. Let r(h) be the first derivative of -2 + u*h**2 - h. Determine r(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + 2120*x**3 - 3953*x**3 + 2099*x**3 - 3*x to w + m*x**3 + j*x**2 + a*x and give m.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 289842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152 and 80408?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(-35)*(-4 + 2 - -12). Suppose 0 = 2*x - 2, -s*t + x = -25605 - 13456. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201646 (base 7) to base 10\nAnswer: -34285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 10*a - 23. Let g(t) = 2*t**3 - 90*t**2 - 186*t - 85. Let m be g(47). Give j(m).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncexkkccxqkc. What is prob of sequence enc?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 37 = -12. Let b be h\/(-3) + -1 - -3. Let r be (13\/(-65))\/((-4)\/30). Put 0.2, r, b in decreasing order.\nAnswer: r, b, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*-3.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.4003354 - -2.3923. Round w to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5309, -5862, -6415, -6968, -7521?\nAnswer: -8074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from pattpiagaataetaaaiit.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = v. Let k(h) = h + 2. Give k(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1491 = -22*m + 15*m. Let q = 119 - m. Let k = q - -161. Calculate the remainder when k is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5734 and 16826.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j + 4 - 2*j + 4*j. Let d(f) = -2*f + 23. Let q be d(10). Calculate m(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 174*c**2 - 1891*c - 18. What is v(11)?\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**3 + d**2 + 4*d + 1. Let l be b(-2). Suppose -5*i = -62 - 8. Is l != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**4\/6 - 5*t**3\/6 - 3*t**2\/2 + t. What is o(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 13*b**3 - 17*b**2 - 8*b - 4. Let v(u) = -2*u**3 - u**2 + 2*u + 1. What is -m(i) - 4*v(i)?\nAnswer: -5*i**3 + 21*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10555*i = -10556*i + 1705. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -14130274 and -55.\nAnswer: -14130329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 106.391 and -9.44737?\nAnswer: 115.83837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 + 10*s**3 - 1440*s**2 - 2890*s - 1445.\nAnswer: 5*(s - 17)*(s + 1)**2*(s + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 750*x. Let i(o) = -419955*o. Determine i(k(p)).\nAnswer: -314966250*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of j**5\/15 + j**4\/12 - j**3\/3 - j**2\/6 + 2*j\/3 - 4. Find t, given that k(t) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 12:15 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 249510235 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -133 + 59. Let z = -41 - c. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82 + (69 - 37) + -3\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d - 1. Let o(f) = f**3 + 15*f**2 - 16*f - 5. Let w be o(-16). Let z(b) be the first derivative of 2 + 0*b - 1\/2*b**2. Determine w*z(g) + c(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 9 - 6. Let p(g) = g + 21. Let s be p(0). Let t be -2*(s\/(-6) - -2). Solve -5*m + 3 = c*f - 2*m, -2*f + t*m = 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*g**2 + 33 - 19*g**2 - 31 + 11112*g.\nAnswer: g**2 + 11112*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -15, 4, -0.3, -3?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14362177 (base 9) to base 5.\nAnswer: 3311024410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26.76 + 30.89. Which is smaller: p or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 136 + -132. Sort -0.3, -1\/8, d, 0 in ascending order.\nAnswer: -0.3, -1\/8, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2351448 divided by -6.\nAnswer: 391908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 11. Let y = b + 13. Solve -y = -j + 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 12, 3*u + 2*u - 15 = 3*w. Let x = 3 + w. Solve 0 = -5*j + 5*p - 35, -x*j + p - 4*p = -3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 865 = -386. What are the prime factors of (-6 - h)*1\/(-3)*2?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.143 + 132.143. Let x = -13438 + 13307.34. Let i = x + f. What is i rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*n + 8 + 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.970392 litres in millilitres?\nAnswer: 5970.392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13091, -26164, -39189, -52142, -64999, -77736, -90329?\n\"Answer: 4*o**3 - 13101*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5670 and 1862910?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 1 - 2. Let a be ((-1)\/s)\/((-4)\/(-60)). Suppose 2*q - 39 = a*d, 5*q - q + 2*d - 66 = 0. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(272)*2*-2 + -5 + -1)**2 - (((sqrt(272) - -3*-2*sqrt(272)) + 4 + 1*sqrt(272))*-4)**2).\nAnswer: -65500 + 2240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + 46 - 1) + 16 + -35?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1978\/1825 or -2?\nAnswer: -1978\/1825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -44590735 + -0.008662\nAnswer: -44590735.008662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 288.9393 and -1.\nAnswer: -288.9393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o**5 - 2403*o**4 - 113688*o**3 - 190308*o**2 + 54720*o = 0.\nAnswer: -38, -2, 0, 1\/4, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 666 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1279 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -134\/15 - -28\/3. Suppose 42 = -3*v - 2*x, 3*v + 0*v + 39 = -x. Let n = v + 8. What is the third smallest value in s, n, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2 = 18. Solve 2\/11*d**a + 2\/11*d**3 - 2\/11*d**2 + 0*d - 2\/11*d**5 + 0 = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1395 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - 2012202220121122?\nAnswer: -2012202220121221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1096 and 5069.\nAnswer: 40552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -89330 bigger than -89328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 7*z**3 - 7*z**2 - 413*z + 71. Let o(l) = -4*l**3 + 4*l**2 + 206*l - 42. Determine -3*n(i) - 5*o(i).\nAnswer: -i**3 + i**2 + 209*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4 = y. Let j be y*3*(-20)\/12. Let b(n) = -4*n - 1. Let k(w) = 13*w + 1. Let s(c) = 19*c + 1. Let r(p) = 8*k(p) - 5*s(p). What is j*b(v) + 2*r(v)?\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 874250.9 hours in milliseconds?\nAnswer: 3147303240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.00571200053 from -13.\nAnswer: -12.99428799947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 8) in base 15?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -9, -3, -16 in increasing order.\nAnswer: -16, -9, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*v**2 + 6*v**2 - v**2 in the form y*v**2 + h*v + l and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -38*m**5\/5 - 5*m**3\/6 - 2*m**2 + 8*m - 1. What are the prime factors of y(-1)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bttt when four letters picked without replacement from {t: 16, b: 2}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -229, -76314, 0.5?\nAnswer: -76314","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 840, 1678, 2516, 3354?\nAnswer: 4192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 + 62 = 38*n - 133 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((567567\/(-252))\/(-99))\/((-63)\/48*4\/(-6))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2068\/47047)\/(4*(-2)\/(-52)). Is -0.04651 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7614 = 116*z + 10*z + 156*z. What is the remainder when 68 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - j = -9, -5*i - 5*j = -3*i - 29. Suppose i = -5*t + 12. Solve t = -3*x - 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273820*b - 273823*b + 2*w + 39 = 0, 2*w + 28 = 2*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51679, -51691, -51703?\nAnswer: -51715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 86665845 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3 + 0*c - c**3 - 2*c + c**2 - 3*c**3. Let j be (3 - (-16)\/(-6))*-6. What is the remainder when m(j) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2. Let g(i) = i**4 - i**3 + i. Let f(b) = -2*g(b) - j(b). Factor f(r).\nAnswer: -2*r*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2673)*1 - sqrt(2673) - sqrt(33))\/sqrt(3).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006430943 rounded to five dps?\nAnswer: -0.00643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 7:34 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 141631627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 3 + 3. Which is smaller: k or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 - 10. What is the smallest common multiple of 26 and 46\/11 + (-10)\/x?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 12*u**2 - 116. Let s(n) = -n**2 - n. Let x(y) = y**2 + 2*y. Let c(j) = 6*s(j) + 3*x(j). Give r(c(a)).\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38 and 241418?\nAnswer: 4586942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*i**4 + 12*i + 3*i**4 - 2*i**2 - 7*i as w*i**3 + b*i**4 + g*i**2 + l + r*i and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 702*f + 671*f + 748*f.\nAnswer: 2121*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/1059 and 31\/8802.\nAnswer: 3107106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 21 = -1, 5*v - 2*m + 10 = 0. Suppose 5*q + 658 - 4023 = v. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*u - u + 15, 3*p = -2*u + 9. Suppose p*h + 3*a + 18 = 0, 0 = -5*h - 2*a + 6*a - 3. What is the least common multiple of (-2*3)\/(-5 - h) and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 49. Give b(0).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/4)\/(1\/(-14)). Let a = -4 - j. Solve -2*g + a*k + 2*k + 18 = 0, -3 = -5*g + 2*k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32003 + 0?\nAnswer: -32003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-1 + 2 + 0). Does 22 divide b + 2*10 + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a millennium in decades?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 9:47 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -4*h + 14, 3*h - 2*h + 2*r = 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4 = o - 6. Solve o*b + 3*f - 30 = 0, -b + 8*f - 6*f - 7 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 13*c**3\/3 - 29*c**2\/2 + 10. Let v(b) = 2*b. Let l(j) = -m(j) - v(j). Find the second derivative of l(p) wrt p.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1842415 is divided by 634?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 2 - 1\/(-1). Let o(u) = 5*u - 6. What is the remainder when 29 is divided by o(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 199, 223, 271, 355, 487?\n\"Answer: 2*m**3 + 10*m + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 882 is divided by 654?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkxxxbxkekbbxkkk. What is prob of picking 2 b?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 4, -7, -0.4, -3\/13, -5, -755?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301*t + 112*t + 84*t + 105*t + 3*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 81722.69 centuries in millennia?\nAnswer: 8172.269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 392 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1632\/48*(45\/(-2))\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-136)\/272)\/(4 - 1687\/420)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*x**3 - 149*x**3 + 320*x**3.\nAnswer: 411*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32123433 (base 5) to base 13.\nAnswer: -96172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5*m - 7355 = 2*r, 0 = 3*m - 15. Let n be (2\/5)\/((-36)\/r). Suppose -n*l - 33 = -44*l. Calculate the greatest common divisor of 99 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5816 + 22)*(-1)\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k + 0*k - k + 4*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.6699714 centuries?\nAnswer: 0.06699714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 6:29 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -8*t**3 + 14*t**2 - 14*t. Let k be (-9)\/(45\/(-200)) - 2. Suppose -k*x = -33*x + 70. Let s(p) = -3*p**3 + 5*p**2 - 5*p. Determine x*s(n) + 5*m(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, z: 13}. What is prob of picking 1 i and 1 z?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1624 + -1025. Suppose y = -2, j + 4286 = 6*j + 2*y. Let s = j - i. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.18 + -0.11. Let q = 0.43 + p. Put q, 0.3, -1 in ascending order.\nAnswer: -1, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*y**4 - 488\/3*y**3 + 0*y**2 + 0*y + 0.\nAnswer: -4*y**3*(y + 122)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*2*-1 + -3*sqrt(70)*2)\/(-4*(sqrt(10) + sqrt(270)\/sqrt(3) + sqrt(10))).\nAnswer: 2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -8*o - 99. Calculate i(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 302 - -130?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943789 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 1\/6, 0.3 in decreasing order.\nAnswer: 1, 0.3, 1\/6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 3*s = -215, -5*s - 38 = 4*g + 54 + 44 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1 - 26)*34\/(-306) and 281.\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*b**3*l**2 - b**3*l + 3*b**2*l*n - 4*b*l**2*n + 2*b*l*n - 4*b*l - 4*l**2 wrt b.\nAnswer: -168*b*l**2 - 6*b*l + 6*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247301 = 2118*s + 560*s - 51807 for s.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m**3 + 8*m**2 - 2. Let z be ((3 - -7) + -11)\/((-1)\/(-6)). Let g(a) = 4*a**3 - 7*a**2 + 2. Give z*l(x) - 7*g(x).\nAnswer: 2*x**3 + x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crcr when four letters picked without replacement from {c: 4, q: 3, r: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1079986 times 0.3?\nAnswer: 323995.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 324 (b) 3\/5 (c) 3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1593, -1612, -1631, -1650, -1669, -1688?\nAnswer: -1707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - -24. Suppose -6*m - n = -50. Sort -3, -9, 3, m.\nAnswer: -9, -3, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 5*m - 5*m. Let b(k) = 5*k + 354 - 707 + 353. Give f(b(n)).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57281 is divided by 95?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2\/2 - 48419*l + 16977275\/2 = 0. What is l?\nAnswer: -97013, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxdxd. What is prob of sequence xx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2999*s + 146*s**2 - 145*s**2 + 2999*s.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -623*n + 624*n + 30. Is -28 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 3\/13, -2\/39, 4, 5\/3?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0) + 3 - 3 - -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*d*o*r - 3*d*o - 8374*d*r + 13001*d - 120*o*r + 1508*o - r wrt r?\nAnswer: 13*d*o - 8374*d - 120*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26717.37kg to tonnes.\nAnswer: 26.71737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 153*b**3 + 6*b**2 - 6*b + 10. Let h be a(8). Suppose -5*p = 4*m + h + 91322, -2*p - 5*m = 68005. What is p rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 614507?\nAnswer: -614510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 5*u**4\/2 - u**3 + 2*u**2 - 6*u + 45. Does 21 divide v(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -81825.2 to the nearest 100.\nAnswer: -81800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, p: 1, c: 5, h: 4}. What is prob of picking 3 h?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/8108 and 89\/27724.\nAnswer: 56196548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 = 14*l + 15 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/6*21*(-31)\/434?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 - 2*n**2 + n**2)*(-60*n + 19*n - 58*n) + 2*n**3 + 4 - 4 + (0*n**2 + 0*n**2 + n**2)*(1 + n - 1).\nAnswer: 102*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 24. Calculate the remainder when f is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -160*r**2 - 6854*r + 13706. Calculate z(2).\nAnswer: -642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*m. Let r = -10 - -13. Let c be (-21)\/(-9) - 2\/6. Solve -r*z - c + 5 = m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 10 = -2. Suppose 0 = 4*c - 6 - 6. Let j be (-3)\/6*(-9 - -3). Solve g*q - 2 + 0 = -4*l, -c*l = j*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 19*h**2. Let x(q) be the second derivative of -2*q**4\/3 - 83*q - 1. What is s(x(r))?\nAnswer: 1216*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a week?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - -0.1. Let x = -0.3 + r. Let j be 23\/(-46)*(-1 - 1\/(-3)). Which is the nearest to 0.3? (a) x (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 9*b + 4*y + 8, 2*b - 4*y = 32. Suppose -76 = -4*q + 28. Calculate the remainder when q is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 9 + -3)*6\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 9*k**2 + 3*k - 2. Let w be p(1). Solve l = -0*s + 3*s, 4*l - w = 2*s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t + 4*t - 1 - 5*t - 3*t**2 + t**2 to the form l*t**2 + c + w*t and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 0.8 (b) -0.1 (c) -2.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/21 + (-546)\/(-1274)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -4, 4, 1 in increasing order.\nAnswer: -22, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 18, -45, 142, 579, 1266, 2203?\n\"Answer: 125*k**2 - 438*k + 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1564 - -1569. Solve -4*h + 22 = g*f + 6, -2*f = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11757 is divided by 3865?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4620?\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(4\/(-2))*14. Let j be ((-3)\/3)\/(3\/(-105)). Calculate the highest common factor of j and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36883?\nAnswer: 7, 11, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 71*g**3 + g**2 - 2 - 5 - 1 + 6 to the form s + h*g**3 + r*g + j*g**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 5*y + 109. Let g = 9 - 4. What is the nearest to -1 in y, g, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72*(-10)\/(-400))\/((-126)\/(-1470)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-729)\/1428 + (-28)\/(-238)). Find g such that 18\/11*g + h*g**3 + 32\/11*g**2 + 12\/11*g**4 + 4\/11 + 2\/11*g**5 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1226 - -0.03?\nAnswer: 0.1526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 293*v - 269 - 903 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/103 and -34\/7.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7b82b3 - -2?\nAnswer: 7b82b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 195600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5, -2\/105, 4, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11134634150 rounded to the nearest 100000?\nAnswer: -11134600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 + 5*l**3 - 2*l**3 - 3*l**3 - 2*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 113*f**2 + 1 + 5143*f + 2447*f + 123*f**2.\nAnswer: 10*f**2 + 7590*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 3*m - 3*j + 21 = 0, 16 = -4*m - 2*j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -19*c - 13. Let x(r) = 3*r + 2. Let z(i) = -6*f(i) - 39*x(i). Let o(m) be the second derivative of -5*m**3\/6 + 51*m. What is o(z(u))?\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u - 446. Let g be m(64). Solve g*s = -192 + 190 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m + 90 - 90.\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -21*k + 1248. Give t(56).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 95692 - 95692.0213443. What is k rounded to 3 decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*b**2 - 80*b**2 + 674*b**2.\nAnswer: 857*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 473*o - 36889102 = 10*o - 10557366. What is the ten thousands digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6630, 5\/4, -3 in ascending order.\nAnswer: -3, 5\/4, 3, 6630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s. Let v be l(-2). Suppose -v*k - 3 = -7*k. Let a(f) = -f + 2. Suppose -10 = -4*o - o. Let p(c) = -1. What is k*a(i) + o*p(i)?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -358 + 221. Let p = 66 - n. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c**0\/c))**33\/(c**(1\/5)\/c**(-4\/3)))\/((c**(-5)\/c*c**(-4\/5))\/(c**0*c*c\/(c**(-6)\/c))) assuming c is positive.\nAnswer: c**(1204\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -53328 less than -53300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.0014 to 1 decimal place.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**3 + 19*m**2 - 9*m + 16. Let w be u(9). Is 10 a factor of 1\/2 + (17512\/w)\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 45*p**2 - 2*p + 4. Let m(f) = f - 1. Give 4*m(q) + n(q).\nAnswer: 45*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*o - 117*o - 129*o + 85*o - 168*o - 131*o.\nAnswer: -479*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (12\/(-54))\/(3\/(-36)) and -77\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022 divided by 293?\nAnswer: 1022\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 315050331 - -1?\nAnswer: 315050332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k + 1. Let m(c) = c + 1. Let r(a) = l(a) + 2*m(a). Let t be r(2). Let p(n) = 18*n. What is the units digit of p(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-7))\/(370\/(-2072)*28\/(-35))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 4:13 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -627 greater than -65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 876149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 18 = -2*j, 0 = -3*p + 2*j - 0*j + 24. Let s be (-8)\/6 + -2 - (-12)\/(-18). Let a be 2\/(s - (-88)\/20). Solve p*u - u = -a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37.3 + 5.3. Let j = 31.967 + p. What is j rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*b - 11 + 9, -w - 3*b = 11. Let k(u) be the second derivative of 0*u**2 + 5*u + 0 + 1\/48*u**w + 1\/12*u**3. Factor k(g).\nAnswer: g*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 487563, 487573, 487583?\n\"Answer: 10*l + 487553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9780.375 millilitres in litres?\nAnswer: 9.780375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1))**(-18\/5)\/(m\/(m**2\/m))**35)\/((m**(-2))**(3\/11)*m\/(m*m**7)*(m\/(m**1\/m))\/m*m) assuming m is positive.\nAnswer: m**(-36\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -165.9 + 166. Put u, -1.5, -2, 2\/9 in decreasing order.\nAnswer: 2\/9, u, -1.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213 (base 7) to base 2\nAnswer: 1101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + ((sqrt(1008) - ((sqrt(1008) + 1)*-5 + sqrt(1008)))**2 - sqrt(1008))*1).\nAnswer: 3528*sqrt(7) + 151356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 1. Let f(d) = 6*d + 3. Let r = -5 + 2. Let m be r*-1*(1 - 0). Suppose 3*p + 2*y = -19 + 5, 7 = -p - m*y. Calculate p*n(o) - f(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 20, 0*o - 5*o = -5*q + 3920. Let l be q\/52 + (-4)\/26. Calculate the highest common divisor of 15 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 272 = -3*w - 287, -5*a = -5*w - 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 624 - 12. Let c = -121 - x. Suppose -y = -c + 1. What is the highest common divisor of y and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*n + 17*n + 16*n + 14*n + 2*n - 7*n - 49*n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35033, 34962, 34891, 34820, 34749?\nAnswer: 34678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72704 + -27251. Is c a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i - 48. What is b(7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 + 4*y**2 + y**2 + (-2 + 2 - y)*(2*y + y - y) + y**2 - 4*y**2 + 0*y**2 as j*y + d + t*y**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 617*d + 83 = -2*l + 612*d, -2*l = 3*d + 53 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 3327\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 29*d**2. Let r = -88 + 95. Let w(l) = -7*l**2 + 4*l + 0 + r - 2*l**2 + 3*l. Let b(t) = 3*t**2 - 2*t - 2. Let f(y) = 7*b(y) + 2*w(y). Give f(z(c)).\nAnswer: 2523*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 546, 1010, 1474, 1938?\n\"Answer: 464*z + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*m**2 - 86 + 59 + 246*m**2 + 27 in the form f*m + a + r*m**2 and give r.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23947 is divided by 11970.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - o - 2. Let j(p) = -7*p**2 - 4*p + 8. Let h(c) = -c**2 - c + 1. Let v(l) = 5*h(l) - j(l). Give 2*v(z) - 3*x(z).\nAnswer: z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -22*z**3 + 10*z**2 - 5*z - 3*z + 39*z**3 - 5 - 18*z**3. Let b be c(9). Solve -5 = -b*k + a + 17, 0 = 4*k - 5*a - 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33224 is divided by 1564?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 162 and 162 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2 + 69\/33). Let t = 28 - c. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/5))**(-25))**(-1\/12)\/(((n**(-3)*n)\/((n\/(n*((n*n\/n**(5\/2))\/n*n)\/n))\/n*n))\/((n\/(n**4\/n))\/(n*n**(-5)\/n))) assuming n is positive.\nAnswer: n**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10*1\/4*(-8)\/(-110)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4 + 32*i**3 + 516*i**2 + 1568*i + 1088.\nAnswer: -4*(i - 17)*(i + 1)*(i + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 794 + -743 - (-2 - -47)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -7 (b) 4\/7 (c) 19 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40606597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**4 - 60*f**3 - 95*f**2 + 60*f + 100 = 0 for f.\nAnswer: -10, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.770162 days?\nAnswer: 66541996.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -355 - -625. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 24, 65, 144, 267, 440, 669, 960, 1319?\n\"Answer: w**3 + 13*w**2 - 5*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -9. Let l = r + 3. Let n = -16 + l. Sort 20, n, -5 in descending order.\nAnswer: 20, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-8) + (-15)\/(-10). Suppose k - m*v = -0*k + 2, -4*v = k - 14. Find the common denominator of 38\/k*9\/(-36) and 137\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -3. Let s = -3 - b. Let l(v) = 5*v. What are the prime factors of l(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbhhbyb. Give prob of picking 3 b.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*f + 371*f + 2*f**3 - 138*f - 138*f.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (468\/351)\/(8\/(-5)*(-10)\/4)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 1717*r**2 + 12*r + 639. Let f(i) = -859*i**2 - 5*i - 320. Let b(v) = 5*f(v) + 2*j(v). Find the first derivative of b(t) wrt t.\nAnswer: -1722*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3043*j**2 + 2985*j**2 - 5598*j**2)*(-3*j + 3*j + 7*j).\nAnswer: 3010*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -251715.235 - 10209.5.\nAnswer: -261924.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 6*k + 4. Let o = -1777 + 1782. Calculate a(o).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21103, -20349, -19559, -18715, -17799, -16793, -15679, -14439?\n\"Answer: 3*x**3 + 733*x - 21839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.77 * -12553.\nAnswer: -34771.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1487 and 68.088.\nAnswer: 68.2367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q**2 + 3*q + 5. Suppose -7 - 2 = 3*z. Let d be j(z). Suppose -6*f + 16*f = d. Solve f*a + o + 16 = 0, 16 = 3*o + o for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.6 + -6.4. Let v = -5.1 + 1.1. Which is the smallest value? (a) v (b) 0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by -9592\nAnswer: -19\/9592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/1884 and -59\/18?\nAnswer: 5652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63977112 divided by 11874.\nAnswer: -5388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -5, 2\/465, -4 in decreasing order.\nAnswer: 28, 2\/465, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 + 47.934. Let d = r - -3.066. Which is the closest to 33? (a) -0.1 (b) d (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 7*h - 17. What is the tens digit of p(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1082 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 3*w - 7 = 0, -4*w - w = -5*m - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*v - 4*k - 7, 4*k = 12. Suppose 2*q - v = 4*q. Let z be 3\/((-12)\/(-8))*5\/(-50). Which is the second biggest value? (a) z (b) 3\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 2*g + 46129, 4749 - 32421 = -3*w - 3*g. What are the prime factors of w?\nAnswer: 9227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 99.751cm?\nAnswer: 997.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40114, -80220, -120302, -160354, -200370, -240344, -280270?\nAnswer: -320142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 - 470*r - 5*r**2 + 5*r**2 + r**2.\nAnswer: -r**2 - 470*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2780)\/(-600) + 1\/6)\/((-47)\/(-235)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**4\/8 - 7*g**3\/2 - 4*g**2. List the prime factors of y(9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104480368717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbury. Give prob of sequence ru.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -13094*x + 78557. Give c(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -275227 and -275189 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + (sqrt(1700) - (sqrt(1700) - (sqrt(1700) + 0 + sqrt(1700) + 3))) + 4).\nAnswer: -40*sqrt(17) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**4*z**(-18\/5)*z*z**(-1\/23)\/((z**(-13)*z)\/z) assuming z is positive.\nAnswer: z**(846\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 3, -1, 63\/11 in ascending order.\nAnswer: -53, -1, 3, 63\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -467741, -467607, -467461, -467297, -467109?\n\"Answer: j**3 + 127*j - 467869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*x**3 + 351*x**3 + 290*x**3.\nAnswer: 499*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**3 - 4*w**3 + 1 - 3 - 2*w + 7*w**3 as y + l*w**3 + t*w**2 + d*w and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3069173, 2\/3, -0.5?\nAnswer: 3069173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 - -0.95. Let f = s + -0.3. Let t = 0.5 - f. What is the second biggest value in -3, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.18327 - 0.18327. Which is the nearest to -0.5? (a) -1 (b) 3.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 10*j + 164. Let v be b(-41). Do -246 and v have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43 and -0.14.\nAnswer: 6.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -129 - -130. Let v be 0 + s - (1 - -26 - -2). What is the third biggest value in 5, v, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 5*a - 31. Give c(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 1) + (154 - 162)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 c when two letters picked without replacement from {c: 3, g: 5, y: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-756)\/75 - 28\/(-350)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixoi when four letters picked without replacement from {o: 1, i: 3, x: 16}?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*k + 10. Let v(s) = s**2 + 2*s. Let m be v(-3). Let z = -2.4 - -1.9. What is the second smallest value in k, z, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*r - 11*r - 7*r - 9*r - 9*r + 65*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 33557 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 25*w**3 + 3 - 373252796*w**2 + 373252796*w**2.\nAnswer: -25*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*d + 11 = -0*p, 2*p + 2*d = -14. Let k be 70\/(-4)*p\/(-5). Let a = k - -23. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 900 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/2))**8\/((l\/l**4)\/(l**(5\/4)\/l)) assuming l is positive.\nAnswer: l**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*z + 2. Let r = z + 2. Suppose 4*d + 0*n - 8 = n, -r*d = -5*n - 24. Let b(c) = 2*c**3 + 2*c**2 - c. Calculate b(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9 and 55.051263977.\nAnswer: 64.051263977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 2*h**7\/21 - h**6\/6 + h**5\/12 + h**2 + 4. Let l(k) be the second derivative of n(k). Factor l(d).\nAnswer: 5*d**2*(2*d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**2\/2 + 4*j - 77. Calculate k(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 - 5*u**2 - 9*u**2.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-69429)\/(-6))\/(3\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -i + 34 + 36 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 1. Let w(g) = g**3 - 7*g**2 + 94*g + 6. Give -6*i(h) + w(h).\nAnswer: h**3 - h**2 + 94*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 3863*l**2 - 7958*l**2 + 4 + 3957*l**2.\nAnswer: -138*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 61, -2\/11, -0.5, -10, 0.22, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = 108*h - 135*h. Solve 5*s = -3*y, -h = -2*y + 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i + 6. Let x(w) be the first derivative of 7*w**2\/2 - 11*w + 7. Let q(o) = -2*x(o) - 5*z(o). List the prime factors of q(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.06 > 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.031 + 26.969. Let y = w - 23. Let u = 0.4 + -0.2. What is the nearest to u in -5, 2\/13, y?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f - 2*f + 25 + 3*f - 40. What is the remainder when n(-12) is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z - 120 = -29*z - 8*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/11 + 5556772*b\/11 - 2525810.\nAnswer: 2*(b - 5)*(b + 2778391)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - -49 - ((-10 - 0 - -8) + 34).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10990782*k + 17187291.\nAnswer: -10990782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*f*i**2 + 33896*f*i*n**2 - 621*f*n**2 - f*n + 14*f + 2*i**2*n - 16 wrt i?\nAnswer: 6*f*i + 33896*f*n**2 + 4*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -25 - (3 + -4 + 9 + -2 - 30)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1190 is divided by 116?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (412\/206)\/(1*6\/(-36)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/8*-2*6. Let w = y - -46. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -1. Find the second derivative of 0*a + 3*a**2 + 4*a**2 + x*a - 14*a wrt a.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 2*s**2 + 5*s + 15. Calculate m(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -644087 - -1844486. Is (-1 + 0)\/((-113)\/p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 7\/4, 1.9, -26?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -7. Let x be (c\/(-15) - (-6)\/10) + 39. Let i = x - 35. Solve -12 = -i*y + 5*w, -2*w - w = 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*g + 141, -2*g = -3*y + 83 + 121. Let q be (4\/(-3))\/((-4)\/y). What is the greatest common factor of 33 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -131 and -130 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 12 = b, -4*v + b - 17 - 3 = 0. Put -2\/11, v, -15 in increasing order.\nAnswer: -15, v, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/7)*c*(c**3*c)\/c*c**(-4)\/(c\/(c*c*c**4)))\/(((c\/(c\/((((c**1\/c)\/c)\/c)\/c*c)*c))\/(c*c*c**7*c*c))\/(c**(-3\/4)*c*c**(1\/8))) assuming c is positive.\nAnswer: c**(1069\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -601042?\nAnswer: -601044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.15, 0?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1, 0.1, -2.\nAnswer: -2, -0.1, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/3)*p\/p**19*p**(-21\/2)\/p*p**(1\/17) assuming p is positive.\nAnswer: p**(-2969\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*t**5\/2 + 51*t**4\/4 + 59*t**3\/2 - 33*t**2 - 6*t + 8 = 0. Calculate t.\nAnswer: -2, -1\/2, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2911 = 266*s + 3*w, s + s + w = 4*w + 37 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -17*p + 17709. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3262907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 86.9 and 1.13597.\nAnswer: 98.715793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(95)\/sqrt(5) - (sqrt(475) + sqrt(475) + 1).\nAnswer: -9*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 257 - 258. Which is the closest to 0.3? (a) d (b) -0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3*u. Suppose u = -209*k + 214*k + 40. Let p be ((-6)\/15)\/(k\/40). Solve -3*d - 2 = -p*n - 0*n, -3*n + 3 = 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 507 + -498. What is the tens digit of 1186\/18 + ((-44)\/s - -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1 - 1.3. Let z = -4.2 - r. Which is the closest to 1\/2? (a) -2\/7 (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a second in milliseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 253554883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3333092 is divided by 579.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*d - 625 = 1142 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -207005?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-197 - 185)\/(2\/(-7)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2051346827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 8954 = l - 13639, -3*l = -5*c - 67819. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {f: 1, h: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*m = -f + 41, -4*m - 2*f - 26 = 0. Let v be (1\/(-2) + -3)*10. Let q be (-2)\/m - v\/45. Calculate the highest common divisor of 9 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-28)\/(-6) + -4)\/(2\/6123). Calculate the greatest common divisor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3582187*y**5 + 395*y + 11.\nAnswer: 71643740*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/3 (b) -0.056 (c) 22 (d) 0.4 (e) 2\/9 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 733303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 57016 and 4.\nAnswer: 228064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -12. Let u(h) = h**2. Let o(i) = 15*i**4 - 2*i**2. Let m(v) = x*o(v) + 12*u(v). What is the third derivative of m(s) wrt s?\nAnswer: -1080*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + 22122?\nAnswer: 22220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -3*t + 5*h, 13*h - 12*h = 5*t - 21 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 42 - 126. Suppose -2*r + 8*r - v = 0. Solve -2*p - 10 = r*q, 0*q + 4*p = -q + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6092 divide 2272893023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3303, 3327, 3367, 3423?\n\"Answer: 8*x**2 + 3295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 303 - 306. What is the biggest value in -15, t, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 324\/(-24)) + 6\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -w + o, 2*o - 3 = -2*w + o. Suppose w*k + 0*k - 12 = 0. Let l = 9 + k. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-30) + -5 + (-36)\/(-8)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j + 0 + 0)*(0*j - 2*j - 5*j + (-3 + 4 + 0)*(j - j + 5*j)) as g*j**2 + o + h*j and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 v when four letters picked without replacement from {l: 3, y: 8, v: 1, d: 5, u: 3}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -s - 3 - 3, 3*m + 9 = 0. Suppose 4*v - 5*r - 4 = s, 5*v + 0*r - 5 = -5*r. Suppose -5*k - 15 = -5*w, -4*k + 4*w = 2*w + 6. Which is bigger: k or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 10:40 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 587430 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44690 - 15328658\/343. Let u = -397\/9947 + d. Which is smaller: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11865714 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 24. Let m be x(-5). Let u(p) = 5*p + 7. Let n be u(m). Suppose -3*b - n = -0*b, c + 4*b - 131 = 0. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 7*j**2 + 6*j. Let d(l) be the first derivative of 8*l**3\/3 + 3*l**2 - 1178. Calculate 5*d(h) - 6*g(h).\nAnswer: -2*h**2 - 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -36831 (base 12) in base 3?\nAnswer: -10202012001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 859287470 divided by 2883515?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d0e439e - 1?\nAnswer: -d0e439f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*1\/(-8)*18\/(-18).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 27.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -540149435, -1080298869, -1620448303, -2160597737?\n\"Answer: -540149434*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*r**4*v - 8*r**2*v - r**2 + 3*r*v + r + 1150*v wrt r?\nAnswer: -492*r**2*v - 16*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 21 in descending order.\nAnswer: 21, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyyyzyyyyyyyyyy. What is prob of sequence zyyy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 607*d = 677*d + 1470 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/546*-18)\/(((-8)\/(-6))\/(-4))?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 4*b - 5076, 4*r - 5048 = -13*b + 16*b. What is the greatest common divisor of r and 230?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 2*n**2 + n + 1. Let v be m(3). Suppose 5*a - 2 - v = 0. Find the third derivative of 0*j**a + 0*j**2 + 3*j**3 + 2*j**2 wrt j.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 6*r - 3. Let j be g(7). Suppose -j*o - o = -30. Let s be 5 + -3 - o\/(-2). Solve 35 = -4*t - s*x, -t = 2*t - x + 12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 9*i**2 - 5*i - 11. Let g be y(-9). Let p = g + -33. Solve 5*d + 6 = p for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 360 and 359 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 10*k + 1. Suppose 4*a - 12 = 5*t - t, -4*a = k*t + 2. Suppose 18*d - 15*d = 0. What is the biggest value in t, 1, d, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 7*j + 3*j - 304980, 0 = 3*n - 5*j - 914975. What is n rounded to the nearest 10000?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 6*v**2 + 2*v - 6. Let f = -3 + 0. Let b = 3 - f. Let r be s(b). Solve -m + 18 = -5*m - 5*k, r = -2*m - k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2668867 to 3 dps.\nAnswer: 0.267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*p - 29669 = -35*p - 2*c, -89021 = -3*p + c. List the prime factors of p.\nAnswer: 3, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*q - 14, -3*q + 32 = 4*d - 19. 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: Let t be 378\/6*(-1)\/(-3). Suppose -29*n + t*n + 928 = 0. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*k - 990 = 0. Suppose -2*y + 5*y = 2*l + 193, -3*l = 3*y - k. Let h = -1 + 14. What is the highest common factor of h and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 0.06, -0.05, -0.6, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 7:05 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - z + 2)*(-1 + 32 + 15).\nAnswer: -46*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 12:51 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 119920 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2810, 2812, 2814, 2816, 2818, 2820?\nAnswer: 2822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 65 = 3*j. Let h be (-28)\/182 - 54\/j. Solve -2*y - 2*r = 4, -4*y + 0*r + h*r = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(99) + sqrt(99) + -1 + sqrt(99)) + 2 + sqrt(99)*2 + sqrt(99))*-1)**2.\nAnswer: -180*sqrt(11) + 3589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -t**6\/45 + t**5\/10 - t**4\/9 - 5*t + 5. Let n(v) be the first derivative of s(v). Determine d so that n(d) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*r - 5*m, -2*r - 6 = 10*m - 7*m for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from evvdeeevvvvdeudvde?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13, -35, -33, 5, 91, 237, 455, 757?\n\"Answer: 2*z**3 - 36*z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 7:46 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207 = -87*z - 990 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 8, -30 in ascending order.\nAnswer: -30, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqjjdttdmjg. What is prob of picking 2 t and 1 d?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 1 = -3*n - 0 - 6, -20*n - n - 83 = -5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/139 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -z - 0. Let x be 14\/z + (-2)\/6. Find the second derivative of 3*i - 65*i**5 - x*i + 67*i**5 wrt i.\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14702 = 2*j - 17*c + 15*c, -c - 29389 = -4*j. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -3 (b) 1\/3 (c) -480\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 6*p. Let n be o(-6). Suppose 2*s + f = 6, n*f = f - 2. Differentiate t**s - 1 - t**2 - 2*t**3 wrt t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-533)\/(-205) - 2\/(-5). Solve -n*l - 10 = -8*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28394467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 37*o**5\/60 - o**4\/12 + 7*o**3\/3 + 13*o**2. What are the prime factors of i(5)?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7029 and 495?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1001 by -7.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 954.738 millimeters in meters?\nAnswer: 0.954738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in -0.1, 0.02, 0.3, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/11 - 13989166*x**2\/11 + 27978338*x\/11 - 13989170\/11.\nAnswer: -2*(x - 1)**2*(x + 6994585)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-3\/4)*t)\/(t\/(((t\/((t**(-1\/6)*t)\/t))\/t*t*t*t)\/t)))\/(t**(1\/3)\/(t\/(t\/(t*t**(-1\/2)*t)))))\/((t\/(t\/(t\/t**6)))\/t**(-6))**(-46) assuming t is positive.\nAnswer: t**(583\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -540635931148346 - -0.2?\nAnswer: -540635931148345.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8847683 to the nearest integer?\nAnswer: 2975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2002.7061us in minutes?\nAnswer: 0.000033378435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*x - 5*i, -5*x - 4*i + 9 + 0 = 0. Solve c = -x + 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.01348 + 0.91348. Let z be -1*-1*(-2)\/10. What is the closest to -2\/23 in y, -6, z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 27*o + 9*o**2 - 32*o + 4*o**2.\nAnswer: 13*o**2 - 59*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*k + 179*k + 2280 = 60*k for k.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 2:16 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 153, 165, 3 in increasing order.\nAnswer: 3, 153, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5*sqrt(192)*-2 + sqrt(192) + sqrt(192)*-2 + 4 + -3 + 3 + sqrt(192) + -2 + sqrt(192)))**2 + 4.\nAnswer: -2592*sqrt(3) + 140008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1923500?\nAnswer: 2, 5, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 632945 + -206260. Let d = b - -13315. What is d rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 1. Let v(t) = -3*t**3 - 3*t**2 - 2. Let z(b) = 7*b**3 + 6*b**2 - b + 5. Let n(j) = -5*v(j) - 2*z(j). Let r be n(u). Which is bigger: -2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 1 + (-1 - -2) + (-1708 - -1710)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, -3, -12 in descending order.\nAnswer: 2, -3, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -949 + -142?\nAnswer: -1091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 743169757?\nAnswer: 11, 67560887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*h**2 + 0 + h**4 - 7\/3*h**3 + 4\/3*h.\nAnswer: h*(h - 2)*(h - 1)*(3*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 2:49 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-5)*y\/(y**(-3\/2)*y)*y*(y\/(y*y*y**(1\/2)*y*y)*y)\/y*y**2 assuming y is positive.\nAnswer: y**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (0 + -7 - ((-9 + 37 - 8) + -12)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -17*l. Let g be p(-1). Let k = -12 + g. Calculate the lowest common multiple of k and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i. Let u be ((-1 - -1) + -2)*-1. Suppose -u*l - 7 = -3. Sort -1, i, l in descending order.\nAnswer: i, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-12)*(-1 - 5). Solve i - 3 = z*l, 0*l - 7 = 5*l - 2*i for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 7. Give y(-13).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -6*r**2 - 11*r - 2 + r**2 + 5 - 5 = 0.\nAnswer: -2, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1431829\/26940 - -8\/6735. Let x = a + -252\/5. Find the common denominator of x and 97\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -24, -0.2, 1?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (7 - ((1 - 0) + -64 + 55)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 319, -7215, -14729, -22217, -29673, -37091, -44465?\n\"Answer: u**3 + 4*u**2 - 7553*u + 7867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-10 - (-7 + -6 + 10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/(a*a\/a**(-2\/29)*a)*a*a*a*a*a\/(((a*a**(-21\/5))\/a)\/a)*a assuming a is positive.\nAnswer: a**(1469\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 67 divided by 427\nAnswer: 67\/427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5471*f**3*g**5 + f**3*g**2 - 3*f**3*g + 2*f**3 + 2*f**2*g + 2*f*g**6 - 1863*g**2 wrt g.\nAnswer: 328260*f**3*g**2 + 240*f*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m = 25*m - 2*i - 330, 0 = 5*i. Determine p, given that 312*p + 1737*p**2 - 27*p**3 + 195 - 211*p + m*p + 736*p = 0.\nAnswer: -1\/3, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - -5) + 0 + -3. Suppose -4*q = 3*c - 11, 0*q + 3*c + 4 = -q. Sort i, -4, q in decreasing order.\nAnswer: q, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70 (base 12) to base 6.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 544378320 divided by 40\nAnswer: 13609458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 12 - 10 - 1 + 3*q.\nAnswer: 3*q + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -9*v**2 - 55*v + 15. Calculate c(-7).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 666542?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(-70) + (-4)\/14 - (-10757)\/(-1735)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-9) - (-700)\/35 - -10?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 19. Suppose -r*v = 2*v + 20, 3*v = t - 14. Suppose -4*m + 4 = 5*p, -5 - 15 = -5*p. Put -2, t, m in ascending order.\nAnswer: m, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3\/2 - 13419*m**2\/2 + 20125*m - 13416 = 0 for m.\nAnswer: 1, 2, 13416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26866 = 666*j + 831*j - 1295*j for j.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 657.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**6\/4 + 37*a**5\/12 - 15*a**4\/2 - 35*a**3\/6 + a**2 + 1527. Solve c(m) = 0 for m.\nAnswer: -7, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40.96 + 41. Let x = 0.040009 - y. What is x rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i**2 - 94*i - 50. Let o be p(34). Suppose -334 + o = 5*c. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1207430255 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((-12 - -10) + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -72 + 10a?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5479850 - -1.\nAnswer: 5479851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.8, 2, -20, -410\/13?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 760388441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3451663314?\nAnswer: 2, 3, 11, 23, 467, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1151669 and -0.3?\nAnswer: -345500.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -298, -462?\nAnswer: -626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14024551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2998 + -752.1748096.\nAnswer: 2245.8251904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sz when two letters picked without replacement from {s: 3, z: 5}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - q = 2*q - 27, -2*q = -2*r + 46. Let t be (-36)\/(-10) + r\/60. Suppose -y + 2*y = t. Solve -2*m - y = -2*k, m + 0 = -3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3055288040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2438731 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2999 + 4481 = 0. Suppose 4760 - q = 5*c. Suppose 862 = 10*f - c. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/33 + 20\/(-11). Let k be 0\/(6 + l - 3). Suppose k*d - 4*d = -60. Solve d = -5*w - v, 0 = 4*w - v + 18 - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5 + b**3 + 10 + 14*b - 13*b**2 - 2*b**3 + 15. Let d be ((-19)\/5 + 1)*5. Let r be g(d). What is the highest common factor of 50 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 82886 = 4*v, -5*v = 4*o - 48605 - 61909. Suppose 3*d = 9, 4*q + d + d - o = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 11:04 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 28939, 28929, 28927, 28939, 28971?\n\"Answer: l**3 - 2*l**2 - 11*l + 28951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*y - 37*y + 5472. Calculate the smallest common multiple of y and 152.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110000011000101111101111 (base 2) to base 3\nAnswer: -212212102112211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 9\/5)\/(66\/165). Let u(c) = -67*c**2 - c**3 + 64*c**f - 5 + 6 - 4*c + 2*c**3. Suppose 19 = 5*p + s, -1 - 3 = 4*s. What is u(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by (87\/(-1))\/((-39)\/26)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -2.36 (c) 2\/13 (d) 0.5 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (4 - (-8 + 9)) + 19 + -7 + -28?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 237020.607ms?\nAnswer: 0.0027432940625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 + 2*x**3 - 4*x**3)*(-30*x**2 + 8*x**2 - 23*x**2 + (-6 + 0 + 3)*(4*x**2 - 2*x**2 + x**2) + 2*x**2 - 2*x**2 - x**2).\nAnswer: 110*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -15*h**2. Let p(o) = -3*o + 4. Let f(s) = -4*s + 5. Let w(u) = -4*f(u) + 5*p(u). What is i(w(n))?\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/4 - 13*r**3\/4 - 12*r**2 - 9*r.\nAnswer: -r*(r + 1)*(r + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**3\/3 + 70*n**2\/3 + 384*n - 864 = 0.\nAnswer: -36, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - (-14 + 20 + 7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 163\/35 - 105\/(-735). Suppose -8*k + 18 = -6. Find d such that 21\/5*d**4 - 33\/5*d**2 + 3*d**5 + c*d - 39\/5*d**k + 12\/5 = 0.\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-4)*7 - (-6)\/8. Let r be (1 - -1)\/(0 + z + 0). What is the closest to 0.1 in 0.3, 1\/2, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/29, -34, 3, 4, 5, -0.05, -0.4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -16*z + 114. Let q be g(7). Suppose -q*j + 5*k - 4*k + 83 = 0, 4*j - 151 = 5*k. What is the remainder when 77 is divided by j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 - -0.3698.\nAnswer: 0.3798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.265 and 1.\nAnswer: -0.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 13 = -340*g + 337*g, r = g + 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 12*u**2. Suppose -3*a = -d - 14, -2*a + 10*d = 5*d - 31. Let w(s) = -11*s - 7. Let n(r) = -5*r - 3. Let b(q) = a*w(q) - 7*n(q). Give b(z(p)).\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*w = 61*w. Let a(f) be the second derivative of w + 0*f**3 + 13*f + 13\/10*f**5 + 0*f**4 + f**2. Find the first derivative of a(h) wrt h.\nAnswer: 78*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 606\/45 - 6\/9. Let d = f + -12. Suppose -d*q**3 + 4\/5*q - 2\/5 + 2\/5*q**4 + 0*q**2 = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a + 2. Let h be 3\/((-9)\/(-6))*4. Suppose 5*u - 2 - h = 0. Suppose -g - u*j = -0*j + 4, -4 = g + 4*j. Give n(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/21, -6013, 5?\nAnswer: -6013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*n + 21 = 6, 2*n = 4*t - 34. Let p(j) = -j**3 + 10*j**2 - 9*j - 1. Let r be p(t). Which is the nearest to r? (a) 5 (b) 1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 5\/2 (b) -1 (c) 1 (d) -1\/20 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -19)*(-13 - -12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9975 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -22*s. Let v(g) be the second derivative of 1\/4*g**4 + 0*g**2 + 0 - 169*g + 0*g**3. Determine v(c(z)).\nAnswer: 1452*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2411, 2396, 2381, 2366?\nAnswer: 2351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 11:31 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*b**2*q**2 + 106*b**2*q - 4*b**2 + 1767*q**2 + 3*q - 11 wrt b?\nAnswer: -24*b*q**2 + 212*b*q - 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from uuy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -219*w**4 - 259*w**3 - 405*w**2 - 2 + 260*w**3 + 2 wrt w?\nAnswer: -5256*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 - 28. Suppose 8*s - f = 134. Suppose -6*n + 0*n + s = 0. Do n and -1\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-12 + -4 + -8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - (-2394)\/(756\/18)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v. Let k(i) = -4255*i**2 + 592*i. Let a(s) = -44*s**2 - 9*s**2 + 7*s + 10*s**2 - s. Let l(y) = -296*a(y) + 3*k(y). What is q(l(f))?\nAnswer: 185*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 197*q**2 - 25*q + 119. Is w(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x + 6 - 3 - 2 + 2. Suppose d + 2*d - 9 = 0. Let b(p) = -p - 1 + 0 + 0. Give d*b(j) + m(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7006, -27784, -62412, -110890, -173218, -249396?\n\"Answer: -6925*w**2 - 3*w - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*p - 28*p = 164. Let z(w) = -w + 6. Let y be z(3). Does 13 divide p\/4 - y\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -5 - 0\/(-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from wkhhwkkkwhhjwkwhkh.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15a93 (base 11) in base 15?\nAnswer: 6a73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/9)\/((-18)\/(-1512)*8)*990\/(-77).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 5 - 0\/(10 - 2). Factor 1\/4*s**5 + 1\/2*s**y + 1\/4*s**3 + 0 + 0*s**2 + 0*s.\nAnswer: s**3*(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 36 = 12*z. Let w(t) = -t**2 - 3*t + 54. Let y be w(z). Let n = -0.2 + 0. Which is the third biggest value? (a) n (b) y (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 839 - 276 - 12*o**3 + 2*o**2 - 281 - 279 as m*o + s*o**3 + n + x*o**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**2 - g + 1. Let y be x(1). Let s be (-6 - y)*23\/3. Let l = s + 32. Calculate the remainder when 16 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 + 15*u. Let g(d) = 28020*d. Give g(h(r)).\nAnswer: 56040*r**2 + 420300*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 r when three letters picked without replacement from {n: 3, f: 2, p: 8, r: 3, h: 3}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzi when four letters picked without replacement from {z: 8, a: 5, i: 3}.\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*v - 195*v - 359*v + 50*v.\nAnswer: -604*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*-3*-4*-3 + -5.\nAnswer: -36*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1820332626?\nAnswer: 2, 3, 7, 43341253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-285))\/(-11*120\/68970).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -423333, -423371, -423409, -423447, -423485?\nAnswer: -423523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 479, -0.4, -32, 2.1, 5\/4 in ascending order.\nAnswer: -32, -1, -0.4, 5\/4, 2.1, 479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 415 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 199 - 218. Which is bigger: -34 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 3*b**2 + 17*b + 1. What is v(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -14942.\nAnswer: -17\/14942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/3 (b) -1 (c) 7\/2 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/3 - (-10)\/(-66). Let r be 38\/171 + 50\/18 + 0. Let s be r + (4\/6)\/(238\/(-1085)). Which is the second biggest value? (a) s (b) 0.2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2407, 1633, 345, -1457?\nAnswer: -3773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 17*a**2 + 36*a + 76. Let j be b(19). Suppose -v = -x - x - 99, -8 = 4*x. What is the greatest common factor of j and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 - 977 + 977.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6979 times 0.1\nAnswer: 697.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 29624 + 1214\nAnswer: 30838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2419*w**3 + 1939 wrt w.\nAnswer: -7257*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 25*r - 12*r + 12 - 39. Let o be q(6). Calculate the highest common divisor of 102 and o.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 471498, 942855, 1414212, 1885569, 2356926, 2828283?\nAnswer: 3299640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4177\/5 - 2\/5. Suppose -5*b + 40 = -w. Is b a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2943063 weeks in milliseconds?\nAnswer: 177996450.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 422 + -103. Let i(p) = -2*p**3 - 7*p**2 - 3*p + 1. Let c be i(-4). What is the greatest common factor of c and x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*i - 21 + 121, -195 = -5*i + x. Let l = i - 21. Calculate the remainder when 224\/3 - 8\/12 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 412. Let s(t) = -6284*t - 6279*t + 12561*t. Determine s(j(f)).\nAnswer: -2*f + 824","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, b: 6, i: 3, r: 2, z: 1}. Give prob of sequence roib.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6508, 6530, 6558, 6586, 6608, 6618, 6610, 6578?\n\"Answer: -n**3 + 9*n**2 + 2*n + 6498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3395, 3390, 3389, 3398, 3423, 3470, 3545?\nAnswer: 3654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(704)*-1 + -3 + sqrt(704))**2.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -0.07, -4 in ascending order.\nAnswer: -4, -0.07, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*t**2*y**2 - 3*a**2*t*y + 29*a**2*y - 18313193*a*t**2*y**2 - 10*a*t*y - 2*a + 2*t**2*y - 2*t**2 + 104*t wrt y.\nAnswer: 4*a**2*t**2 - 36626386*a*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-82)\/369*9\/(-6))\/((-1)\/(-30)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -c**5\/60 - 31*c**2. Let o(w) = -40*w**2. Determine o(g(m)).\nAnswer: -40*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33.918 + -0.082. Let h = 96 + t. Let i = -61.4 + h. What is i rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 7. Let h be (-6)\/(-8)*(-816)\/765. Which is the closest to 0? (a) u (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/2*(-84)\/18. Let j be -13 + -1 - (-21)\/l*-4. Let v(a) = 2*a**3 + 22*a**2 - 9*a + 14. List the prime factors of v(j).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 318412, 318403, 318382, 318343, 318280, 318187, 318058?\n\"Answer: -s**3 - 2*s + 318415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*2.5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3 = -9. Suppose x - 5 = -r. Suppose -r*q = 2*q. Solve 0 = 2*a - 2*f + 10, -2*a + q*f = 3*f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in -0.5, 8, -2\/3, 2\/149, 2\/15?\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-60)\/(-35))\/((-1)\/((-63)\/2)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0675 - -0.4325. What is the nearest to -2\/7 in -0.1, 28.2, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 3:22 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1451745 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 4102?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3 = 67. Suppose n = 4*d - 13. Calculate the greatest common factor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -211\/3 - -70. Let h = 4.09 + -0.09. Let g = -44.88 + 44.58. Which is the closest to 0? (a) h (b) d (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 686243 is divided by 816.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26369598?\nAnswer: 2, 3, 83, 52951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 425080, 850159, 1275238, 1700317, 2125396, 2550475?\n\"Answer: 425079*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 7:45 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/w**(-8\/5)))\/w*w**(-2\/13))\/(((w*w*w*w\/w**(-30))\/w)\/w)**(22\/9))**11 assuming w is positive.\nAnswer: w**(-521081\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/2))**15\/((h*h**(1\/2))\/(h*h**(-3))) assuming h is positive.\nAnswer: h**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1964 + 1965. What is the nearest to -1 in r, 63, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pe when two letters picked without replacement from {p: 5, j: 1, s: 6, e: 2, y: 2, x: 1}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-5)\/(860\/352).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 13*a - 316. Let t be y(-47). Let n = -333 - t. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -13*d**2 - 14*d + 5. Let h(q) = 7*q**2 + 7*q - 3. Give 5*h(i) + 3*m(i).\nAnswer: -4*i**2 - 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 27. Put 3, k, 4, 20 in decreasing order.\nAnswer: 20, 4, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o - 19 - 2*o**2 - 2*o**3 - o - 3*o**3 + 3*o**3 - 9*o**2 in the form i*o + p*o**3 + w*o**2 + h and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2298 + -2?\nAnswer: -2300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.020129ns to minutes.\nAnswer: 0.00000000036700215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28798 and 1211518.\nAnswer: 226553866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245*-29.\nAnswer: -7105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5683 + 4957.6. What is d rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/20 + (-11)\/(-4). Solve -3*t - 4*z = -7, -4*z + s*z = -4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 23*n**2 + 194*n - 1462. Calculate c(28).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3 + 1 + sqrt(405))**2 + (sqrt(275)\/(sqrt(55)\/sqrt(5)))\/sqrt(5).\nAnswer: 73*sqrt(5) + 426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = b - 74536, b + 2*z - 63716 - 10825 = 0. What is the thousands digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 137 and 137 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 127, 54, 2\/9?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2562*f + 30728. Give l(12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -4. What is the biggest value in 1, 0.2, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 285*h - 1. Let d(z) = -11*z**2. Calculate d(x(m)).\nAnswer: -893475*m**2 + 6270*m - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + p**2 - 16*p - 28. Let n be u(-3). Suppose v = -5*d + 174, n*d + 3*v = -2*v + 65. Calculate the lowest common multiple of d and 42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t**3 + 19569 - 79*t**3 - 2*t**2 - 19569 in the form x*t + q + c*t**2 + z*t**3 and give z.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j**3 + 6*j**2 - 47607*j - 1358287 wrt j.\nAnswer: -3*j**2 + 12*j - 47607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of v**7\/15 - 11*v**6\/45 + 2*v**5\/45 - 195*v**2\/2 - 53*v. Let b(j) be the first derivative of x(j). Factor b(p).\nAnswer: 2*p**2*(p - 2)*(21*p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 61*g - 57*g + 3*n, -5*g = 4*n + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -48\/13 (b) 2.39 (c) -1 (d) -2\/13 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -18b?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -398085.4 to the nearest one thousand.\nAnswer: -398000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -0.8. Let o = 0.115 - 0.139. Let n = o - 0.076. Which is the nearest to -0.1? (a) n (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*j**2 + 66 - 66)*((1 - 3 + 5)*(4 - 4 - 2)*(-j + 3*j + 0*j) - j + 3*j - 3*j + (326 - 22*j - 326)*(3 - 4 - 1)).\nAnswer: -744*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-6)*(-96)\/(-120).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c**2 - 5*c**2 + c**2)*(-2*c - c**2 + 3*c**2 + 3*c)*(-54 - 325 - 325) in the form i*c**4 + m*c**3 + p*c**2 + t + o*c and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-5) + 9752\/265. Solve 2*u = -d + 36 - g, 2 = 2*u + 2*d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -a, -2*y + a = -4*a. Suppose -t - 2*l + 4 = y, 3*l - 9 = -2*t - 1. Solve -t*h - 5 = -21 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven eighths of a day?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5060 + -3?\nAnswer: 5055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 70*i + 419. Calculate u(6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-56) + 1161\/21. Which is bigger: a or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -172 (base 15) to base 13\nAnswer: -1c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 2)*(2*l**4 + 0*l**4 + l**4)*(1432 + 1479 - 713 - 7) in the form x*l**3 + y + b*l**4 + o*l**2 + r*l and give b.\nAnswer: -19719","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2100, -8453, -19064, -33939, -53084, -76505?\nAnswer: -104208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 12*s + 8. Let j(x) = 13*x + 9. Let n(z) = 3*j(z) - 4*l(z). Let w(q) = 13*q + 7. Let i = 8 + -27. Let a = -14 - i. What is a*w(r) + 7*n(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 24, 9, -32, -111, -240, -431, -696?\n\"Answer: -2*k**3 - k**2 + 2*k + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + r)*(263*r**2 - 127*r**2 + 3*r - 111*r**2).\nAnswer: 25*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17, -24, -43, -80, -141, -232, -359, -528?\n\"Answer: -l**3 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 123021211 + -100?\nAnswer: 123021111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5823.\nAnswer: 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1153939*k**3 - 12*k + 25406 wrt k.\nAnswer: 6923634*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1874*s**3 + 6*s - 923*s**3 - 6*s - 958*s**3.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/9)\/r**(1\/2)*(r\/((r\/(r\/r**(-6)))\/r))\/r**(-5\/4) assuming r is positive.\nAnswer: r**(319\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 720825089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1206 + 1370. What is the lowest common multiple of 3 and m?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*i - 386*i - 2198 = -6931 - 8995 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -77418 divided by 9?\nAnswer: -8602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 1. Let g(n) = n + 6. Let f be g(-5). Let u be i(f). Let v = 4 - 6. Which is greater: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 27250*r + 1.\nAnswer: 27250*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-one fifths of a kilometer?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 p when three letters picked without replacement from rrprrppprprppurrurp?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -189*a**6 - 5*a**3 - 18423*a**2.\nAnswer: -22680*a**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 549 times 6\nAnswer: 3294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 390143600 a multiple of 1540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.8629 + 12.975. Round l to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 12, 13*h = -3*l + 17*h + 1023. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -0.1. Let q = 3\/197 - -367\/1773. Which is the nearest to 0? (a) q (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -150 - -156. Let a(s) = s**2 - 6*s. Let f be a(6). Let v(x) = f*x - 4*x + x**2 - 3*x + 3. Determine v(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 - ((16 - 8) + -9 + -54)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18344429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2233*b**2 + 4*b + 226938 - 4*b - 226938 to r*b + j + i*b**2 and give i.\nAnswer: 2233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -15) + -5 + -5 - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 60. Let k = 12 - n. Which is smaller: k or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6*z**2 + 6*z - 2. Let q(s) = 12*s**2 + 13*s - 4. What is 9*n(g) - 4*q(g)?\nAnswer: 6*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-25) - 8\/(-5). Solve 0 = -3*i + 4*b - 1, 0 = 5*i - 2*b - b - j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -101*l - 195. Let w be q(-2). Solve g + 6 = -3*d, -3*g + w = d + 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yf when two letters picked without replacement from ffyyfffyyfjyf?\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 13\/5 (c) -763\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vsvycvccssvvyycsvusa. Give prob of picking 1 v, 2 y, and 1 u.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a centimeter in micrometers?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.79 minus -0.02648488158?\nAnswer: -3.76351511842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 21*q**2 - 330*q + 4434. Determine m(12).\nAnswer: -822","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1545 - 915. What are the prime factors of z?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1166 divided by 583?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -116 + 138. What is the highest common divisor of u and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 3*h**2 - 3. Suppose -5*p + 7 + 93 = 0. Let m be p\/(-4) + (-1 - -2). Does 9 divide v(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/9 + 8*g\/9 + 110\/3.\nAnswer: -2*(g - 15)*(g + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 6:22 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddrcdpq. Give prob of picking 1 r and 1 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342 is divided by 64.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 12 = -i. Let p = 309 + -314. Which is smaller: i or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -37*l**2 + 15*l**2 + 17*l**2. Let g(v) be the first derivative of -v**2\/2 - 3*v + 2. Let y(m) = 2*m + 5. Let f(k) = -5*g(k) - 3*y(k). Give j(f(p)).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -p + 3, 3*p = -18*u + 16*u - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-445 - -452) + (4 - -5) + 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 0 + 2*r + 0. Let o(c) = -4*c**2 - 23 + 23. Determine t(o(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {g: 7, w: 4, b: 2, m: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -406625666 to the nearest one million.\nAnswer: -407000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40753?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 836 (base 9) in base 6?\nAnswer: 3053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-14) - 780\/70. Let j = -53 + 49. Let s = -8 + j. Which is bigger: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 208\/7 + -2274\/77. Let i be (6\/(-4))\/1 - -1. Which is the closest to i? (a) l (b) -3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 80 = -5*y. Let w = -11 - y. Suppose 4*g + 27 = 3*q + 3*g, -15 = -5*g. Solve -3*z + 5*z + q = 0, w = -4*n - z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.786 and -0.56?\nAnswer: 4.92016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*d + 17 = -0*d, -y + 5*d = 5. Factor -4*k**4 - 18 + 18 + y*k**4.\nAnswer: k**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 14*j**2 + 316*j + 759. Let g be l(-10). Let p be 2\/3 + 0\/(-1). Which is the nearest to p? (a) g (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-3 + 12 - -6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = t - 49, t + 42 = 4*l - t. Let q = -24 + l. Let s = -9 - q. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61476?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 9*y + 26. Let u be d(-11). Suppose u*x - 2335 = -x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70410589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-2) - (0 + 10). Let g(q) = -q**2 - 10*q + 15. Let m be g(t). Let h = m + -3. What is the nearest to h in -3, -1\/6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 5 + (4 - 1 - 4)*(-1 + 1 + 2) - 1 - 3 + 3)*(-k + 4 - 4).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35243555 + 24?\nAnswer: -35243531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l**2 + 4*l**2 - 4*l**2)*(2 - 1 + 0)*(14*l - 5*l - 7*l) to the form b + c*l**3 + r*l + x*l**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203 (base 5) to base 12.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 300457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 + d**2 - 3*d**2 + (3*d - 3*d + 2*d)*(-3*d - 3*d + 5*d) - 5*d**2 + 0*d**2 + 3*d**2 - 2*d**2 + d**2 - 5*d**2 - 8*d.\nAnswer: -11*d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.8038 - 0.1962. Let n = 0.1 + -1.1. Which is the nearest to -1\/3? (a) -0.4 (b) j (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 218 - -1054. Is 24 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/(12\/18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15690889.62ns in weeks?\nAnswer: 0.00000002594393125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*n, -2*g + 2*n + 17 + 1 = 0. Solve 4 + 2 = -4*j - 2*i, 4*j - g*i = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 50 = -59. Is (529*u)\/(30 - 29) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*y - 9 = k + 75*y, -2*k = 3*y + 18 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 170530\/9 + (-2 - (-20)\/9). Let o be 4\/(-22) - (-3 - h\/33). Suppose -2*u - 3*u + 965 = -l, -3*u + o = -l. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.5 - -1.2. Which is the biggest value? (a) l (b) 1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 10:23 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2303 divided by 211780?\nAnswer: -2303\/211780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10622 and 1678276?\nAnswer: 1678276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 203094 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (180\/24)\/(6\/8). Is (d\/(-6))\/((-11)\/231) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/35)*g**13)**(1\/18)*(g*g**(2\/9)*g*g)**(-1\/2)\/(g**(-6)\/g**8) assuming g is positive.\nAnswer: g**(4129\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(85) - 6*sqrt(85)*2)\/(sqrt(10)\/sqrt(2)*1) - (sqrt(1377) + sqrt(1377) + -1)*6*1)**2.\nAnswer: -7140*sqrt(17) + 1203865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 1. Let a(f) = 8*f - 9. Let z(j) = -15*j + 17. Let d(l) = 7*a(l) + 4*z(l). Calculate -d(v) + 6*m(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.61 - 0.11. Which is the biggest value? (a) 2\/7 (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 39*h + 97. Calculate o(-8).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25644*y - 25648*y - 5*o + 59, -3*o + 31 = 2*y for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*g**2 - 4*g + 4*g.\nAnswer: -157*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}