{"text":"Question: Express 3*z + 6*z + 16 - 16 as k*z + i and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 173 = -3*w - 0*w, 5*x - 2*w - 211 = 0. Calculate the greatest common divisor of 287 and x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 81966216?\nAnswer: 2, 3, 41, 83299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 5 at least as big as 9834\/1673?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -77*i**4 + 144*i**4 - 72*i**4 + 26*i**2 wrt i.\nAnswer: -120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u = 2*h - 3124, -26*u + 27*u = -4*h + 6203. Solve -h*k + 1555*k = -4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) be the third derivative of -11*s**8\/168 - s**6\/20 + 521*s**4\/24 - 434*s**2. What is the second derivative of a(q) wrt q?\nAnswer: -440*q**3 - 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*g + 0*g + 3*g**2)*(-g + 0*g - g)*(216*g - 1211*g + 220*g + 237*g) in the form h*g**4 + k*g + r + l*g**3 + j*g**2 and give h.\nAnswer: 3228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 67*k - 2134 = 2824. What is the greatest common divisor of 1184 and k?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 4*u**2 + 73*u + 90. Let p be k(-17). Solve p*x - 3*g = 18, -2*g + 7*g = -2*x + 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 9? (a) 1\/6 (b) 6987\/2 (c) -0.4 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -w, a - w - 5 + 4 = 0. Find the third derivative of -31*g**2 + 34*g**2 + 18 + 4*g**a - 6 - 8*g**3 wrt g.\nAnswer: 480*g**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n = -83 - 53. Let p = 42 + n. Solve 4*b = d + 1 - p, -b = 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 42704 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -4772.5082 rounded to the nearest integer?\nAnswer: -4773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.2 and -2.4598.\nAnswer: -0.49196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 153*f - 155*f = 2*q - 16, 3*q - q + 28 = 2*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 226005545*o**4 + 157548743.\nAnswer: 904022180*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -b**2 + 38*b + 43320.\nAnswer: -(b - 228)*(b + 190)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 1090, 1087, 1084, 1081, 1078, 1075?\n\"Answer: -3*t + 1093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 57 and 15561.\nAnswer: 15561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (71 - 71 - 33*t)*(-2 + t**2 - 1 + 1) to the form v + a*t**3 + l*t**2 + j*t and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.1 - 0.4. Let l = 0.2 + j. What is the third smallest value in l, 3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*j - 2*p + 7, 4*j - p + 1 - 25 = 0. Let k be 2\/(-10)*-5 + 0 + 1. Suppose 4*a + v = 18, -3*a - 7*v + 4*v + 18 = 0. Sort j, k, a.\nAnswer: k, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1)\/((-21)\/(-96)) + 33\/(-77). Let i(p) = p + 10. Determine i(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -285*p**2 - 295*p**2 - 303*p**2 + 1175*p**2 - 264*p**2.\nAnswer: 28*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide (-6)\/45 + 8 + (-9546)\/(-45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 51*d = 20109 + 33441. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -26 - -37. Suppose -5*r = -3*d - 28, -3*r + 6*r = d + 16. What is the remainder when f is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (74 + -75)\/(2\/8*2)*3. Which is smaller: 10 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 3*d - 144 = 0, 4*n + 14*d - 10*d = 608. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -1347, -14\/15, 5?\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 82 + 44)*(20*z - 11*z**2 - 20*z) to j + x*z**2 + v*z and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -26, -15, 46, 181, 414?\n\"Answer: 4*l**3 + l**2 - 20*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 2, c: 1, k: 1, w: 2, h: 1, m: 1}. Give prob of sequence wc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5*(sqrt(39) + sqrt(117)\/sqrt(3)))\/(sqrt(3) - sqrt(192)))**2.\nAnswer: 1300\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 1187*v + 3584 - 29720 = -264*v + 362*v for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2\/13 (b) 3\/56 (c) -0.1 (d) -7301\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 405688?\nAnswer: 2, 17, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 10441021200 (base 5) to base 4.\nAnswer: 230132013023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -3 times 6905?\nAnswer: -20715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i\/((i\/i**(-12\/7))\/i*i))\/i)\/i*i*(i\/((i\/((((i**(5\/4)*i*i)\/i)\/i*i)\/i))\/i))\/i)\/(i*i\/(i\/(i**(-2\/49)\/i*i)))**(-12) assuming i is positive.\nAnswer: i**(1969\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 680 minutes before 3:16 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 110 and 605.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v\/(v**(-10)\/v))**(-35)\/((v*v**(-8)*v)\/(v*((v*v\/(v*v**(1\/14))*v)\/v)\/v*v)) assuming v is positive.\nAnswer: v**(-6259\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 28.98801092 to one decimal place.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.02 - -4.98. Let s be (-131)\/4 + (-3)\/(-4). Let n = s + 32. Is n != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(570) + 2*sqrt(570))\/sqrt(10))\/(sqrt(6)\/sqrt(2)*-2)*-6.\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -9*j**5 + 3*j**4 + 50*j**2 + 2*j + 790?\nAnswer: -180*j**3 + 36*j**2 + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 111 + -71. Is 20 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 26500*k - 2*k**2 - 53009*k + 26509*k.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-189)\/108*(122 + 2). Let j = f - -221. Solve 4 - 1 = d + 3*m, -12 = -j*d - 5*m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:31 PM and 1:53 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*sqrt(30)*-2)\/(sqrt(384)*-3) + ((sqrt(120)\/sqrt(2))\/sqrt(2))\/(sqrt(726)*2) + -2.\nAnswer: -2 + 6*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 58075.9 centuries to months.\nAnswer: 69691080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 705 minutes before 6:08 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = a**3 - 3*a**2 + 4*a - 2. Let j be f(2). Suppose 2*t + 10 = j*n, 5*t - 55 = -4*n - n. What is the greatest common divisor of 88 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2 - 2 - t**2 + 40*t - 14*t**2 - 2260011 + 2260011 - 1 + 2*t**2 + 1 + (t - t + 2*t)*(-t + 4*t - t) + t**2 - 2*t**2 + 0*t**2.\nAnswer: -10*t**2 + 40*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) be the first derivative of -j**2\/2 + 8*j - 1. Let k = -1 - -5. Determine w(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 12779 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vvgggvvgkvffigkvfgg. Give prob of sequence gfv.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 4, t: 1, k: 3, r: 5, l: 1}. What is prob of sequence lk?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i = -0*i + 18. Suppose -2*r - 109 = -5*t, 23*t - 19*t - 5*r = 94. What is the smallest common multiple of t and i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 13*n - 74. Does 27 divide u(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from izijiiziiiqzizja. What is prob of sequence azii?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -5*x - 1. Let v be j(-1). Let c(n) = n + 1. Let r be c(v). Solve 0*w + r*w + 5 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = -0*i + 3*i. Solve 7*x = 4*x + i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (6\/(-12)*-2)\/(1\/5). Let y(w) = w**3 - 5*w**2 + 6*w - 5. Let u be y(4). Suppose 17 = h + u*f, -l*h + 2*f - 9 = -60. Solve 36 = 5*t + h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = r**2 - 5*r + 2. Let o be a(7). Let k = 2 + 1. Solve 4*v + z - 2*z = 15, -4*z + o = k*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -27 + 34. Let a be s\/(-28) + (-98)\/(-8). Solve 2*t - 2*o = 3*t - a, 3*o - 7 = 4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 155 + 43. Let r = p - -293. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = j**3 - 12*j**2 + 20*j + 5. Let g = -171 - -181. Let x be i(g). Solve -3*y = -5*w - 7, x*w = -4*y - 10 - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-18 - -8 - -24) + -22.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose z**5\/3 + 389*z**4 - 7025*z**3\/3 + 5079*z**2 - 14072*z\/3 + 1564 = 0. Calculate z.\nAnswer: -1173, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5851765 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 70810.02ms in minutes?\nAnswer: 1.180167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x + 4*a = -15, -x - 189*a + 186*a - 10 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 2173, 4254, 6333, 8422, 10533, 12678, 14869, 17118?\n\"Answer: 2*g**3 - 13*g**2 + 2106*g + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 3*n + 3. Let k be o(-2). Suppose -3*b = 2*p - 11, 2*p - 3 + 17 = 2*b. Suppose 3*s = 2*s - 4. Sort s, k, p.\nAnswer: s, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*d = x - 757, d = 3*d + 200*x - 197*x - 125 for d.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 19735, 157895, 532907, 1263199, 2467199, 4263335, 6770035?\n\"Answer: 19738*s**3 - 2*s**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 49\/65 and 161\/78.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Product of 22.46355 and 0.25.\nAnswer: 5.6158875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m\/(m\/((m\/(m\/m**(2\/5)))\/m)))\/m)\/m)**34 assuming m is positive.\nAnswer: m**(-442\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(21)*1*4)\/((sqrt(42)*1)\/sqrt(6)) + (sqrt(3) + -2 + -4 - (-2 + sqrt(3) + 1))*-5)**2.\nAnswer: 200*sqrt(3) + 673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 13042 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 4 - (-2 - (-10 - -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 202*o + 159. Let u(g) = -68*g - 57. What is -4*a(k) - 11*u(k)?\nAnswer: -60*k - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o**2 - o + 1. Let r(f) = 12*f - 12. Determine 12*g(h) + r(h).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = -9522 + 2961338\/311. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 564 minutes before 1:09 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4.4 + 6.3. Let h = x + -2.1. Sort 0, h, -0.5 in decreasing order.\nAnswer: 0, h, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -l**5\/3 + 195*l**4 + 6075*l**3 + 46125*l**2.\nAnswer: -l**2*(l - 615)*(l + 15)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -6, 0, -1, -4, 285 in decreasing order.\nAnswer: 285, 4, 0, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -fe (base 16) in base 14?\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 5256 and 6201?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -j**3 - 28*j**2 + 6896*j - 35596. Give a(67).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i be (5 - 3)\/(2\/(-20)). Let n be (-3)\/(-2)*i\/(-18). Let v = 1985 - 1985.5. Which is the closest to -2\/7? (a) v (b) n (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5301.595l to millilitres.\nAnswer: 5301595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 8253679 and 497.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -97 + 102. Let s be -3 - (-435 - k - 1). Let w = s - 243. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -13873 + 20602. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*y**3 + y - y + (0*y - 2*y + 3*y)*(-y**2 + 0*y**2 - y**2) + 0*y + 0*y + y**3 + 7 - 13*y**3 - 7 + 0*y**3 - 4*y**3 + 5*y**3.\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 - 7 = 2*r, 238 = f - r. Suppose -268 - f = -3*w. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 17\/3 and 37\/193.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 70, -229, -3, -12 in descending order.\nAnswer: 70, 2, -3, -12, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 551225?\nAnswer: 5, 17, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 40 and 251198720?\nAnswer: 251198720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 78 and 517689?\nAnswer: 13459914","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 35640 + -11?\nAnswer: 35626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*f + 9*c = 65, 0 = 5*f + 800294*c - 800291*c - 40 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 301629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*v**3\/9 - 78*v**2 - 9126*v - 355914.\nAnswer: -2*(v + 117)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/3? (a) 18\/23 (b) -1\/3 (c) -1\/4 (d) -2.02 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -23, 3, 6\/11, -3.7, -0.4 in descending order.\nAnswer: 3, 6\/11, -0.4, -3.7, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -22707798, -45415591, -68123384, -90831177, -113538970?\n\"Answer: -22707793*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1*2 - (-12 - -13). Let b be (12\/24)\/(z\/6). Are 13\/7 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q + 8*q = -5*s + 65, 0 = 4*q - 2*s - 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) be the second derivative of -x**6\/165 + x**5\/55 + 41*x. Let m(j) = 0. What is j?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 369*i**2 + 3*i + 2. Suppose -5*t = 5*q + 8 + 7, 0 = t + 1. Let n be k(q). Let x = -8917\/6 + n. What is the common denominator of 43\/11 and x?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (2\/4)\/((-1)\/(-6)). Let a(w) = 5*w + 3. List the prime factors of a(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 777 + 13327?\nAnswer: 14326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -490123 times -0.05?\nAnswer: 24506.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 40186*d + 2571913. What is w(-64)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 249146 and 73595.\nAnswer: 51074930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/(-10) - 1911\/(-105). Let a = n + -15. Put a, -4, 1 in ascending order.\nAnswer: -4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 31\/2 of a microsecond?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 306 is divided by 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4 + 4 - m**3 + 4*m**3 - 4 to j*m**3 + c*m + r + p*m**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 217 minutes before 10:56 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -2*x**2 + 19*x + 6. Give r(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*g**3 - 312*g**2 - 11088*g - 83104.\nAnswer: 4*(g - 106)*(g + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = -184 - -181. Suppose m - 4*u = 21, -m + u = -2*m + 46. Let f = m + -40. Put y, f, 5 in decreasing order.\nAnswer: 5, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 + 0 + 2*x + (1 + 1 - 4)*(x - 3 + 3) + 4 - 2*x - 4 + x + x - 4*x + (-2*x + 2*x - x)*(1 + 2 - 1)*(-4 + 0 + 0).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 912798246 to the nearest integer?\nAnswer: 30213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 17773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4042122 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -4 and 0.07892257?\nAnswer: -0.31569028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jjyb when four letters picked without replacement from jymypbyjyymypppypj.\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 2509070 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d be 15906\/(-7974) + 2\/1. Let s = d - 22007\/886. What is the common denominator of 89\/6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -p**2 - 4*p. Let v(y) = y. Let c(g) = -g + 4. Let j be c(3). Give j*s(x) + 5*v(x).\nAnswer: -x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -v - 5. Let w(m) = -4*m - 6. Let x(a) = 5*a + 6. Let q(b) = 4*w(b) + 3*x(b). What is 4*q(y) - 5*u(y)?\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1.42 - -1.4. Let k = -0.09 + d. What is the nearest to 1 in 0.4, k, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 298 a factor of 654770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (-400)\/(-150)*(12\/(-10))\/((272\/255)\/(-4))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hc when two letters picked without replacement from {c: 7, h: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 475780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1 - 3)*(-3)\/126. Let g(h) = -5*h + 5. Let n be g(1). Suppose -3*t + 19 = f - 6*f, -3*t + 3*f + 9 = n. Are t and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -160\/139 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (68\/170*65)\/((-2)\/1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -51*w - 399 = -108*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 16447, 131755, 444805, 1054489, 2059699, 3559327, 5652265, 8437405?\nAnswer: 12013639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 374 divided by -6\nAnswer: -187\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 484 is divided by 170.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -287 divided by 26863\nAnswer: -287\/26863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -2 and 212.22?\nAnswer: 214.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 404137340?\nAnswer: 2, 5, 20206867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + 0 - (224\/8)\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 2\/5, -0.077734, 0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -14*b + 1. Let l be (-2)\/(-6) + -1 - (-2380)\/204. Suppose 49*p - l = i + 47*p, 11 = 4*i + 3*p. What is y(i)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 205 - 207.67. Round a to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2\/7*m**2 + 6428\/7*m - 5164898\/7 = 0.\nAnswer: 1607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -s + 8. Let b be d(8). Suppose b*c - 2*c + 4 = 0. Let 0 + 32\/7*n**3 + 4\/7*n - 22\/7*n**2 - c*n**4 = 0. What is n?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*sqrt(128))\/sqrt(8))\/((sqrt(30)\/sqrt(3)*4)\/sqrt(5)).\nAnswer: -5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 197 + -198. What is the closest to -0.16 in 1\/5, -0.05, j?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 426556 (base 9) to base 2\nAnswer: 111110000011000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 31 - 42 - (-15 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 49 + -145 + 67 + (2 + -4 - -7)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -1 * -0.19.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/18 <= 1\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 5, u: 3, w: 1, i: 4}. Give prob of picking 1 t and 3 i.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 1324, 1633, 1956, 2299, 2668, 3069, 3508, 3991?\n\"Answer: j**3 + j**2 + 299*j + 1023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 182, -2\/13, 2\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*w**2 - 2*w + 2*w + (-1 + 2 + 0)*(-2*w**2 - 2*w + 2*w))*(7*w**2 - 7*w**2 - 12*w**3).\nAnswer: 48*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjjjgjjjjjjjjjxj. What is prob of picking 1 g and 1 j?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/3? (a) 1\/4 (b) 7 (c) 23\/6 (d) 3 (e) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 + 4*v + 0 - v + 0*v + 3*v + 0*v + 0*v - 2*v + (3 - 2*v - 3)*(0 + 4 - 3) + 1 - 1 + 2*v + v + 2*v + 0*v - 3*v + 4*v + 0*v + 2*v - 2*v - 16*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -31*k - 62. Let a be v(6). Let l = a - -253. Calculate the greatest common factor of 85 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2\/6 + (-3 - 115\/(-15)). Suppose w*j - 80 = j - 2*d, -j - 3*d = -10. Let r = 71 + j. Is r a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in 1\/387, -2\/7, 1, -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 67558 = h + 3*q + 4070, -5*q + 190444 = 3*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 157 is divided by 67.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 55.6, 1\/6, -0.1, 2\/7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-1))**0\/(d*d**(-3)*d**5) assuming d is positive.\nAnswer: d**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4 - -1140240?\nAnswer: 1140244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.05 + 0.47. Let m = 0.04 - -0.36. Let q = v - m. What is q rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:05 PM and 5:11 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -d - 190462 = -5*g - 190545, -73*g - 1165 = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Expand (16220*r**2 + 7766*r**2 - 7967*r**2)*(3 - 6 + 2).\nAnswer: -16019*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3\/14? (a) 0.2 (b) -3\/775 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -9465.74052 to one dp.\nAnswer: -9465.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = 5*p - 4 - p - 8*p. Let g be n(-2). Suppose -b + 270 = g*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 1013096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 21702 - 1 - (9 - 91\/14)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hg when two letters picked without replacement from {g: 4, h: 6}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 21*r**2 - 8*r - 18. Let h be j(-8). Suppose -h = -5*b + 4*z, b - 4*z + 254 = 2*b. Is b a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) be the first derivative of x**4\/4 + 13*x**3\/3 + 5*x**2\/2 + 2*x - 4. What is the remainder when d(-12) is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((m**(-1)*m)\/m)\/m)**(-45))**38\/(m*m*m**(1\/3)*(m\/m**(-5))\/m*(m**(1\/2))**(-20)) assuming m is positive.\nAnswer: m**(10268\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 451231 and 40513?\nAnswer: 1397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 9*y + 3. Let s(o) = -11*o - 4. Let u(f) = -5*p(f) - 4*s(f). Let q be 39\/26 - 2\/4. What is u(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1140\/342*(-6)\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -24 - -42. Suppose 2*v = r, 2*r = -4*v + k - 2. Suppose -3*p - 4 = -10. Put p, -6, r in decreasing order.\nAnswer: r, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*n = -215964 - 142044. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1244 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that 4*c**4\/3 + 74680*c**3\/3 + 99524*c**2 - 522648*c = 0.\nAnswer: -18666, -7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sum -1 and -91.08081652.\nAnswer: -92.08081652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -160 - (72 - (-52 + 145)).\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*c = 9 + 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 0 + 0*x - 3 - x + 3*x. Let v(o) = -12*o + 18. Let a(m) = -34*i(m) - 6*v(m). What is the first derivative of a(s) wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -11010 (base 11) to base 15.\nAnswer: -4b08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:12 PM and 10:32 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2*(-15)\/(-20)*(-8)\/(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 15789697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39 = -4*d - 0*z + 5*z, -2*d - z = -9. Let y = d - 3. Suppose 3*w - 61 = -2*r - 2*r, -5*w + 54 = y*r. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 45 + -134\/3. Let d be (-2)\/(-7) - (-26)\/(-42). Which is bigger: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) be the second derivative of 35*z**4\/12 - 3*z**3\/2 - 2*z + 15. What is the second derivative of c(l) wrt l?\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -3, 0.4, 101\/21, -2, 9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) -4 (b) 0 (c) 15 (d) -2\/85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2360037*b*y + 17986273*b wrt y?\nAnswer: -2360037*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 9023150952 rounded to the nearest 100000?\nAnswer: 9023200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 6 and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*t - 2*t - 3*t + (0*t + 3*t - t)*(-45 + 27 + 97 + 64).\nAnswer: 285*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 144 - 61.965?\nAnswer: 82.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in seventeen sixths of a year?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 1146*v - 13536 = 300*v for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x be (104\/234)\/((-4)\/(-54)). Solve -a - 3 = -3*y + 11, a - y + x = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 231 minutes before 10:47 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh biggest value? (a) 1500 (b) 5 (c) -2\/9 (d) 92 (e) -0.4 (f) 0.2 (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 10223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1151 + 5*k**2 + 574 + 577.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out -42274.41 - -65.\nAnswer: -42209.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (27 - 9827\/372)*54\/(-84)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2*-3707312.\nAnswer: 7414624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -2 * 91193\nAnswer: -182386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = a**3 - 8*a**2 - 40*a - 5. Let l be h(13). Calculate the greatest common factor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 8259941 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 207671393 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1 and 0.275264218.\nAnswer: 0.275264218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*h + 73 = 333. Solve 2*z = -h + 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 48*a**2 + 36 - 19 - 17.\nAnswer: 48*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 29717?\nAnswer: 29717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 78\/7 less than or equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) be the first derivative of 2*z**2 + 2 + 5\/4*z**4 + 0*z**3 + 0*z. Find the second derivative of u(w) wrt w.\nAnswer: 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2645 + 5254. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 528 = 17*w - 5*w. Is (-11)\/(w\/(-552)) - (-1 - 2) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 21843810 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = h**2 + 482*h - 7755. Calculate x(16).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -z**2 + 9*z - 4. Let o be f(5). Let y = 19 - o. Which is the closest to 1? (a) -2\/5 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(396)\/(sqrt(44)\/sqrt(4)))\/(sqrt(36)\/sqrt(3)*-6).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -1388, -2688, -3988, -5288, -6588?\n\"Answer: -1300*y - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:56 AM and 1:10 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 3*l + 2)*((2*l**3 + 2 - 2)*(2 + 0 + 0) - 23*l**2 - 5*l**3 + 23*l**2)*(-l + 3*l + 0*l).\nAnswer: 6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 416 is divided by 53?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-5)\/((-105)\/72) - (0 - -3). Is -2\/5 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gybznrnzg. Give prob of sequence rn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 1835.96 decades to months.\nAnswer: 220315.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.02*-0.2.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -b**3 + b**2. Let s be n(0). Suppose -3*i + s*i - 75 = -4*g, -g = 3*i. Solve -j + 3*j + g = 5*v, -5*v + 15 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1436 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 338\/39*((-132)\/40 - (-17 - -14))\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + ((0 + 3*sqrt(11))*5)**2.\nAnswer: 2480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 12 and 131844?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 241.468 - -19.112. Let m = x - 261.17021. Let l = m + 0.59. What is l rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 - 3*j**3 + 0 - 4*j**3 + 6*j**3 - j**3 + (-5*j + 5*j - j**2)*(0*j - 4*j + 3*j) + 2*j - 2*j + 3*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6376763.\nAnswer: 6376763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 5*d**2 - 138*d + 12. What are the prime factors of w(39)?\nAnswer: 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 9748944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 35572023 is divided by 529.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 20, 42, 66, 92, 120, 150, 182?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put together 1.758088 and 0.705.\nAnswer: 2.463088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + t = -429, -a - 10*t = -5*t - 65. What is the greatest common factor of 51 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -13775 divided by -6\nAnswer: 13775\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is (-154 - (-12)\/(-4))\/((-5)\/295) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -4 (b) -2.3 (c) -14\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -81.61 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 15 and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 346 and 9.\nAnswer: 3114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m - 34 = 16. Suppose 0 = -5*z + 165 + 15. Suppose -m = i - z. What is the remainder when 51 is divided by i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 7*j. Let k(l) = -26*l - 1. Give u(k(w)).\nAnswer: -182*w - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -f + 80. Let l be a(0). Let r be -42 + (-4)\/(6\/(-3)). Let g = r + l. What is the greatest common factor of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:45 AM and 3:18 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in 2\/7, 3, 2\/147, 1, 1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4)\/14*(-4179)\/(-8775). Let k = -4\/225 + n. Suppose -3*t + 6 = 0, 0 = -3*y + 4*t - 8 - 3. Sort k, y, 0.4 in increasing order.\nAnswer: y, k, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (27*i - 127*i + 3 - 54*i - 3)*(5*i - 2*i - i + (-2 + 1 - 1)*(-3*i + 2*i - i) - 480*i + 413*i - 656*i) to the form b*i**2 + w + c*i and give b.\nAnswer: 110418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Determine l so that 4\/3*l**4 - 4\/9*l**2 - 2*l**5 + 0*l + 10\/9*l**3 + 0 = 0.\nAnswer: -2\/3, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*v - 15 = 5*l, 7*v - 12*v - 4*l = 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8 - -6) + -2 + -41 + 13.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 3488501 to the nearest ten thousand.\nAnswer: 3490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = b**3 - 5*b**2 + 4. Suppose -y + 5 = 0, 0*g - 5*g = y - 25. Suppose -q = -4*o + 79, 0 = o - 7*q + g*q - 6. Suppose -25*d + o*d = -20. What is r(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 607059 - 249839 = 570*j - 891080. Calculate the remainder when j is divided by 434.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 15 + 0 = 0. Sort 2, x, -5 in ascending order.\nAnswer: -5, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3218228?\nAnswer: 2, 13, 199, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 2509 + -2392 - 3\/(2*(-6)\/8)\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-2684)\/(-9) - 2\/9 is divided by 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -8\/17 + 74\/85. Let g(n) = 4*n - 1. Let w be g(-1). Which is the second smallest value? (a) -1 (b) w (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5\/60*6 - 0.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 273 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-21)\/(-7) + -3)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*sqrt(144))\/sqrt(12).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*p - 35*p - 165 = 0. Is 21\/(-35)*(p + -2) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 24*z**2. Let l(y) be the second derivative of 11*y**4\/12 - y**3\/2 + 5*y + 30. Give l(r(g)).\nAnswer: 6336*g**4 - 72*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:30 AM and 1:30 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 9989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*m**3 - m**2 + m**2)*(79 - 40 - 8 + (3 - 1 - 3)*(-1 + 4 - 5))*(-1 + 3 + 0)*(2 - 4 + 0).\nAnswer: -264*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 4194 and 822571317.\nAnswer: 2097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(5 + sqrt(405) + 1 + sqrt(405) + 1 + -5 + -1).\nAnswer: 4 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -8 - -9. Let h be 5\/(-2)*(3 + -1). Which is the nearest to m? (a) h (b) 4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*d + 470 = -10*d + 114*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i + 33 = 4*z, -1102*z + 1105*z - 2*i + 39 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -444493, -1777865, -4000151, -7111351, -11111465, -16000493, -21778435?\nAnswer: -28445291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -48.3, 6, -3\/4, 3\/4, 0.2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-b**3 + 13*b - 13*b)*(22*b + 33*b - 29*b).\nAnswer: -26*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -45*k - 282 - 2449 - 2234.\nAnswer: -45*k - 4965","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5 - -5. Let j = 28\/9 + -494\/153. Let l = -1 - -6. Put j, z, l in decreasing order.\nAnswer: l, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*u + 3*u + u**2)*(1041 + 3012 + 6496) + 4*u - 4*u + u**2 to i*u + b + a*u**2 and give a.\nAnswer: 10550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -b**3 + 26*b**2 + 27*b + 19. Calculate the remainder when 54 is divided by x(27).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a and 1 x when three letters picked without replacement from gtaxxtwgaagawaagat.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (3\/(-2)*6\/(-9))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that 4*k**5\/3 + 601*k**4\/6 + 793*k**3\/2 + 1280*k**2\/3 + 142*k\/3 = 0.\nAnswer: -71, -2, -1\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1048534151 to the nearest integer?\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v\/((v*v**(4\/17)*v)\/v))\/v)\/v*v**(-2\/31)*v**(-2\/25)*v**(-3\/11))**31 assuming v is positive.\nAnswer: v**(-384419\/4675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = -13 + 36. Let n = -95 + 3. Let r be (2 + (-85)\/20)*n. What is the greatest common factor of v and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.5, 0.3, -518.1234?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 14 = 3*a, 0 = 3*a - 6*a + 3*q + 6. Suppose -2*g + 44 = a*b - 2*b, -4*b + 90 = 5*g. Calculate the remainder when b is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 divided by -26396\nAnswer: 3\/26396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h = -10 + 26. Let m be 4 - (h - (4 + -8)). Suppose 26 = -m*c - 74. Which is greater: c or -26?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -11*f - 421*f**2 - 281*f**2 + 10*f + f in the form b + h*f + y*f**2 and give y.\nAnswer: -702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -0.1 smaller than -10\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 32840724 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -u**3\/6 + 71*u**2\/6 + 110*u\/3 + 74\/3.\nAnswer: -(u - 74)*(u + 1)*(u + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r = 3*l + 13 - 7, -3*r + 6 = 5*l. Solve -l*q + 3*z = 12, -16*z + 12 = 3*q - 11*z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.05 + 0.15. Let b = -12\/55 - 2\/11. Let s be (-5)\/(-20) + (-20)\/(-16). Sort 5, b, n, s.\nAnswer: b, n, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 3 by -6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 31276947809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -11\/22620 and -5\/234.\nAnswer: 67860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 3 = -3*h, 2*z + h = 4*z - 3. Determine f, given that 4*f - f - 5*f + f**2 - 2*f**z = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 6885972003?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 82 and 5822.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/19, -3, -11.856, 0 in decreasing order.\nAnswer: 0, -2\/19, -3, -11.856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = 818.254 + -819. Let n = 0.62 + w. What is n rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -2.44 times -0.12393\nAnswer: 0.3023892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -233101509*k*q**2 + 109417823*k wrt q.\nAnswer: -466203018*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:04 PM and 6:42 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -8\/835 (b) 5\/3 (c) -38 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 140191 or 26?\nAnswer: 140191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c = -20 + 60. Suppose 0 = -3*q + 4*o - c, 5*o = -3*q - 49 + 18. Sort -5\/3, 0.3, q in ascending order.\nAnswer: q, -5\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -b + 19 + 5. Suppose 4*m - b = m. Calculate the smallest common multiple of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 5, y: 7}. Give prob of picking 1 y and 1 a.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) be the third derivative of -a**6\/120 - a**5\/12 - a**4\/4 - a**3 + 2*a**2 + 5*a. Give y(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 290127740 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -747*j - 21843. What is o(-29)?\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 122, 124, 128, 134, 142?\n\"Answer: m**2 - m + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v - 5*x + 6 = 1, 0 = 2*x - 2. Let s be 6*(-9)\/(3996\/8). Is v equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sdusnrou. Give prob of sequence su.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -17*z + 16*z. Suppose -h = z*h - 328. Suppose 46*l - 48*l + h = 0. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 60001 - (0\/3 - -1). Round u to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from {o: 1, z: 2, g: 1, d: 2, u: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -23006.958 - -0.2.\nAnswer: -23006.758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-1008)\/(-40)*5\/(-7)*2\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let -3*n**5 - 3570*n**4 - 94425*n**3 - 258330*n**2 - 167472*n = 0. What is n?\nAnswer: -1163, -24, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 0 > 2\/8774779?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.82 - 0.42. Put 0.3, -3, -4, w in decreasing order.\nAnswer: w, 0.3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4*l**3 - 8*l**2 + 128*l + 384 = 0. Calculate l.\nAnswer: -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/11 smaller than 2.813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = 15 + -6. Let b(j) = -p*j + 3*j + 2*j + j. Suppose -35*h = -34*h + 3. Calculate b(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 518053 and 139.\nAnswer: 518053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 1, f: 1, k: 1}. Give prob of sequence fi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 168*b + 6325. Give z(-38).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 27890339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -4*i + 59. Let k be l(15). Let a be 2 + (-2*k\/(-1) - -3). Solve w = -a*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17669 is divided by 184.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 33 = -7. Let k be l\/(-3)*(-3)\/(-4)*-6. Is (7\/(-42) - 2\/(-12)) + k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*a**4 + a**4 - 4*a**4)*(2 - 1 + 1)*(0 - 2 + 4) + (0*a**4 + a**4 + a**4)*(-1 + 3 - 4).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 4, r: 2, u: 3}. What is prob of sequence xuu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -i**3 - 7*i**2 - 7*i - 3. Let g be u(-6). Let z = -5 - -13. Suppose a + z = g*a. Solve a*h - 3*h = 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 360432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-3 - 9) + 2\/(-1). Let r = y - -21. What is the remainder when 19 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) be the first derivative of 5*u**3 + 33*u + 50. Let s(d) be the first derivative of h(d). Let t(p) = 2*p**2. Calculate s(t(a)).\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.20216 + 0.29784. Which is the second smallest value? (a) g (b) -1\/2 (c) -0.08 (d) -0.38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 1, k: 3}. Give prob of sequence kvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 380 + 132 = 108*c + 80 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:51 PM and 8:52 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 787 + -32\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2, 6, 1, -37, -0.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 42167243?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*z - 10*z - 4*t + 4, -56 = -5*z - 2*t. Let f(r) = 7*r**2 - 4*r + 63. What is the units digit of f(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -901 - -42?\nAnswer: -87b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 99916925*s. Let l(v) = 2*v**2. What is g(l(c))?\nAnswer: 199833850*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -89662*b - 717321. Calculate g(-8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 8 - 46\/3*t + 2\/3*t**3 + 20\/3*t**2.\nAnswer: 2*(t - 1)**2*(t + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -960\/11 or -86?\nAnswer: -960\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10828?\nAnswer: 2, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-64)\/(-224))\/((-3)\/(-7)). Let c = 1542 + -1541. Let d = -0.4 - 0.1. What is the smallest value in v, c, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 1\/4 of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -222 - -9788. List the prime factors of c.\nAnswer: 2, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -71*c + 1426470 = 39*c - 8*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 2.582121 and -188789.\nAnswer: -188786.417879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5846*p - 11689*p + 124*p**2 + 5843*p.\nAnswer: 124*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*x**3 - 30 + 4*x**3 + 9 + 19 - 2*x**2 - 5*x + 9*x**3 to c*x + n*x**2 + s + r*x**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1.7 - 17.7. Let o = c + 66. Let d = 49.999878 - o. What is d rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -71090\/6929 and -10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 3483.776 hours?\nAnswer: 12541593600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 184 and 31786?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -z**3 + 15*z**2 - 26*z + 8. Calculate n(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/3, -13, -1\/3, 0.2, -4 in descending order.\nAnswer: 2\/3, 0.2, -1\/3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 3 + -14444131?\nAnswer: -14444123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -z - 1 + 1 + (2*z + 0*z + 12*z)*(2 - 2 + 2) - z + 2*z - 3*z + (2 + 2 - 2)*(5*z - 3*z - 4*z) to q + j*z and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1218*a + 1706*a - 487*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -126, -357, -588, -819, -1050, -1281?\nAnswer: -1512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.18, 2\/11, -7, 4, -5, 3\/4?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 14852*o**2 + 15*o + 18. Let t be r(-1). What is t rounded to the nearest one hundred?\nAnswer: 14900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -31 - -534?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = -533\/5 + 107. Suppose -t = -20 + 115. Let z = -1043\/11 - t. What is the second smallest value in y, z, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 254*b + 9488 = 153*b - 492*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 936 and 728?\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = r**3 - 1. Let u = -68 + 67. Let x(h) = -5*h**3 + 4. Give u*x(m) - 4*z(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(((sqrt(110) - sqrt(110)*2) + sqrt(110) - sqrt(110))\/sqrt(11))\/(sqrt(20)*1 + sqrt(5)).\nAnswer: -2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o be 6\/144*138 - (-3)\/(-4). Suppose 11*r = 6*r + o, 2*h - 2*r - 178 = 0. What is the highest common factor of h and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6499*o - 67444 - 105155 - 159374 = -46017 for o.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 842, 1100, 1516, 2078, 2774?\n\"Answer: -2*z**3 + 91*z**2 - z + 754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a = 5*h + 5035, -11*a - 2*h + 3036 = -14*a. Let k = -1008 - a. Factor -3\/7 - 4\/7*f**k + 13\/7*f.\nAnswer: -(f - 3)*(4*f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - (2 + -3)) + -2 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 = 34*r - 31*r + n, 0 = 5*r - 3*n + 39 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 7650 and 2550.\nAnswer: 7650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = -83 + 78. Which is the second biggest value? (a) v (b) 3 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -104*y**2 - 160*y**2 + 57726 - 57318 with respect to y.\nAnswer: -528*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31 a factor of 158114686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -u**2 + 49*u + 28471. Let k be o(-146). Let r = -0.7 - 4.3. Let c = r + 4.8. Sort c, k, -2\/15 in ascending order.\nAnswer: c, -2\/15, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 48239.0523 rounded to the nearest 10?\nAnswer: 48240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -212*j - 222*j + 647*j - 217*j. Let r(u) = -2*u + 9. Give r(b(f)).\nAnswer: 8*f + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-1\/3)\/a**(4\/3))\/((a*(a**2\/a*a)\/a*a)\/a*a\/(a\/((a*a**(-2\/15))\/a))*a) assuming a is positive.\nAnswer: a**(-68\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1182 divided by -6.\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(528)*-4*2 + sqrt(528) + sqrt(528))\/(4*sqrt(44)))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-73 - -1)*(-8)\/(-12). Let f = l - -116. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 277 minutes after 8:47 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*s - 13*s - 26 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 5 - 4.8. Let p = -4.8 - f. Let q = p - -6. Which is the closest to q? (a) -2\/7 (b) 0.5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + 5*5*6*((sqrt(396) + (sqrt(396) - (sqrt(396) + 1 + sqrt(396))) + sqrt(396) + 1)**2 + (sqrt(396) - (sqrt(396) + 0 + 3))**2) + 4.\nAnswer: 60753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27*g**2 - 23*g**2 - 10*g**2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 13*y. Let x(i) = 4*i - i + 0*i. Suppose 55*m + 4 - 40 = 59*m. Let k(g) = m*x(g) + 2*j(g). Let r(u) = 22*u. Determine r(k(h)).\nAnswer: -22*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12 + 1 + (-60 - (47 + -116))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Add 408 and -7.57035.\nAnswer: 400.42965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 3.313013643 rounded to two dps?\nAnswer: 3.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 5*a**2 - 9. Let v(h) = 34*h**2 - 60. Let b(d) = -3*v(d) + 20*w(d). Let l(z) = 3*z**2 + z**2 + 3*z**2. What is l(b(t))?\nAnswer: 28*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l be 18\/27 - (-8081564)\/6. Let j = l + 1153072. What is j rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) be the third derivative of p**6\/15 + 121*p**5\/30 + 59*p**4\/2 + 27*p**3 + 356*p**2 - 2. Factor i(g).\nAnswer: 2*(g + 3)*(g + 27)*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 39 and 11453.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 2*c. Let z be 3\/(-6)*-2*22. Let u(a) = 21*a + 1. Determine z*m(p) - 2*u(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -111100101100000 + 101?\nAnswer: -111100101011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 15*n**4 - 12*n**4 + 16*n + 10*n - 100*n**2 - 22*n to v*n**2 + f*n**3 + o*n + m*n**4 + r and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3\/((-945)\/93) + 258\/602. Put h, 0.05, 2\/5, 0.3 in decreasing order.\nAnswer: 2\/5, 0.3, h, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:04 PM and 10:45 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*r**3 - 3 + 3)*(r + 2*r - r) - 2*r**4 - 6*r**4 - 15*r**4 + 2*r**4 - 1 - 4 + 3.\nAnswer: -25*r**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 38 - 15 - 11 - 41?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.006 - 1.006. Which is the closest to 4\/9? (a) 5 (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = 787*p**3 - 284*p**2 - 2. Let g(r) = -2362*r**3 + 855*r**2 + 7. Let d(t) = 2*g(t) + 7*o(t). What is the third derivative of d(k) wrt k?\nAnswer: 4710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 23102 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express (-12*f - 3*f + 36*f)*(3*f**2 + 2*f**2 - 4*f**2) in the form y*f + j*f**3 + g*f**2 + t and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-9)\/6)\/1*20344\/(-73747).\nAnswer: 12\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 8, -10, -0.2 in descending order.\nAnswer: 8, 5, -0.2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 32, 231, 766, 1805, 3516, 6067?\nAnswer: 9626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -447756 (base 8) to base 13.\nAnswer: -53c86","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Sort -2, 4632, 4, 1, 3 in increasing order.\nAnswer: -2, 1, 3, 4, 4632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3 + 7. Suppose -4*t + a + f = -53, 2 = 2*a. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2404?\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3224442 + -4?\nAnswer: -3230001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 3*n**3 + 4*n**2 + n + 2. Let p(g) = -5*g**3 - 6*g**2 - g - 3. Let z(v) = -2*p(v) - 3*u(v). Let a(x) = -7*x**3 + 6*x + 8. Determine a(k) + 5*z(k).\nAnswer: -2*k**3 + k + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = 321 + 498. What is the highest common divisor of 91 and y?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 8*o**2\/3 + 3072778*o\/3 + 768194\/3.\nAnswer: 2*(o + 384097)*(4*o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 37, -1, 0, 4 in ascending order.\nAnswer: -5, -1, 0, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 270 minutes after 9:54 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u be 5\/((-60)\/(-42))*(364\/13 - 6). Solve -45 + u = -32*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -4221 from -3.\nAnswer: 4218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d = -4*t + 62, 2*d - 111*t + 20 = -119*t for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = w**2 + 7*w + 2. Give n(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 52694?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jjjrrjj. What is prob of picking 2 j and 2 r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 24 <= -481157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9165 = -84*i + 495. Solve 28 = 29*v + i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**5\/m)**11\/(m**(-3)\/m)**(1\/13) assuming m is positive.\nAnswer: m**(576\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1761 = 17*d + 95. What are the prime factors of 207\/18*d - -1?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 1, v: 3, g: 12}. Give prob of sequence vvgg.\nAnswer: 33\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10*c**2 - 12*c**2 + 6*c**4 + 2*c**3 - 4*c**4 to m*c**4 + w*c + p*c**2 + h*c**3 + j and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o be (39\/14 + -3)*8\/6. Let m(p) = p**2 - 3*p - 2. Let z be m(3). Let f be z + (-12)\/39*-6. What is the nearest to -4\/11 in 0.5, o, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -c**2 + 7*c - 6. Let j be n(6). Suppose -3*x - k + 13 = j, k = x - 5 + 2. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/6 of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*g**2*i**2 + 4*g**2*i - 40*g*i**2 + 946*g*i - 2*i wrt i?\nAnswer: 4*g**2 - 80*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 3 - -8407530868342\nAnswer: 8407530868345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) be the first derivative of 0*b + 4\/3*b**3 + 0*b**4 - 3 + 0*b**2 - 3\/5*b**5. What is the third derivative of j(i) wrt i?\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((v*v**(1\/6)*v)\/v**5)**(2\/7))**2)**(-40) assuming v is positive.\nAnswer: v**(1360\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -77871 - -0.0173232?\nAnswer: -77870.9826768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 81271334 to the nearest integer?\nAnswer: 9015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 2628 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 128 and 5072.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 458720197?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 10*h + 14*h + 9*h - 2.\nAnswer: 13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*w = -3662 - 874. Let r = w + -1636. Round r to the nearest 10.\nAnswer: -880","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (2\/3)\/((-12)\/18). Which is greater: w or 5\/31?\nAnswer: 5\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000306263 rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19835.\nAnswer: 5, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.3 + -1.3. Let j be (-58)\/(-42) + (-4)\/6. Let g = j + -3\/7. Which is the second biggest value? (a) g (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 104*n**3 + 6*n**2 - 35*n + 52. Determine u(2).\nAnswer: 838","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.83 + 116.17. Let p = 117 - g. Let r = 2 + 0. Which is the nearest to r? (a) p (b) 1\/6 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5501.6 + 5502. What is the fourth smallest value in y, 66, 15, 3\/8?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (14*r - 14*r - 7*r**2)*(6*r**2 + r**2 - 3*r**2) + 9*r**4 - 14*r**4 + 4*r**4 + 29*r**3.\nAnswer: -29*r**4 + 29*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = -15.2 - -14. Let w be (1\/(-2))\/(180\/72). Suppose -4*y = 4*h - y + 17, -24 = 5*h + y. Which is the third smallest value? (a) -3 (b) f (c) w (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of -3*(12\/6 + -3) - -1244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 + 7 = 2*q. Let o be (-1 + 1)\/(q + -10). Suppose o = 4*f + 2*b - 0*b - 148, 8 = -2*b. What is the greatest common factor of 13 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 29672 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = 112 + -104. Let r(k) = k**3 - 9*k**2 + 7*k + 7. Let w be r(h). Put w, 5, 0, 0.1 in descending order.\nAnswer: 5, 0.1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -9*p**3 - 3*p**2 - 166*p - 158*p + 307*p in the form h + i*p**3 + n*p**2 + b*p and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1.6 + 1.9. Let b = 0.03 + 0.06. Let r = b - -1.91. Sort 0, l, r in descending order.\nAnswer: r, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = 2*p + 1. Let t(i) = i**3 - 2*i - 1. Let n be t(p). Suppose n = u - 5*s - 34, -19 = -3*u - s + 3. Calculate the remainder when 44 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -134168 rounded to the nearest 1000?\nAnswer: -134000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -558662376 divided by 70467.\nAnswer: -7928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00045539 to 6 decimal places.\nAnswer: 0.000455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 + 0 - (2 + -21 + 42).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 7200.379 milligrams?\nAnswer: 0.000007200379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -714, -708, -702, -696, -690?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -5 + -4012?\nAnswer: -4021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -j - 2. Let k be (-10)\/25 - 56\/35. Let x(c) be the third derivative of c**4\/24 - c**3\/6 + c**2. Let t(s) = k*x(s) + 2*o(s). Determine t(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*x**2\/9 + 189299768*x\/9 - 4479300270606728\/9.\nAnswer: -2*(x - 47324942)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -6, -19, -46, -93, -166, -271?\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -8.1 + 1.1. Let d = -9 - v. Suppose m + m = 0. Which is the nearest to 4? (a) d (b) 0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2 - -2240515?\nAnswer: 2240521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 11355325531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 104*7\/7*(2\/8)\/(129\/(-258)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -4135*u**2 - 4139*u + 10. Let v(h) = 6202*h**2 + 6208*h - 14. Let s(t) = 5*v(t) + 7*z(t). What is the second derivative of s(c) wrt c?\nAnswer: 4130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 540\/7 + 88\/7*j - 4\/7*j**2.\nAnswer: -4*(j - 27)*(j + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 17 = -3*u, -5 = -2*u - 5*z + 10*z. Solve -o - 1 = 0, u*w + 5*o = -3 - 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) be the first derivative of f**2\/2 + 11*f + 9. Let t(a) = 46*a - 335. Let k be t(7). Calculate p(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 58 + -68. Let v be 6*(14\/m + 18\/45). Find the common denominator of 2\/v - (-831)\/144 and -19\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 58 = 5*j, 3*j = 3*n + 23 + 10. Suppose 18*w = 7*w + 7040. Suppose 12*s - w = 4*s. Calculate the remainder when s is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 98*n = -88*n + 558. Solve -3*d = -n*j + 12, 5*d + 32 = -4*j + 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -50 + (-56 + 101 - (16 + -2)) + -14?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate b**4 + 2868055*b + 5511215.\nAnswer: 4*b**3 + 2868055","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.44? (a) 5 (b) 4\/7 (c) -1\/8 (d) -0.2 (e) -2\/713\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -6651, -6524, -6395, -6264, -6131?\n\"Answer: g**2 + 124*g - 6776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 7815 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*y**4\/6 + 14635*y**3\/2 - 32120165*y**2\/2 - 96404405*y\/6.\nAnswer: -5*y*(y - 4391)**2*(y + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 44 minutes before 11:38 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 13581*a**2*i*o + 3*a**2*o**2 + 5*a*i*o**2 - a*o + 3195*i*o**2 - i wrt a?\nAnswer: 27162*i*o + 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + 5*n + 11 = 0, -32 = -5*h + 5*n - 7. Suppose -3*v = h*a - 5*a + 24, 3*a = 5*v + 24. Calculate the least common multiple of 3 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**4*l*l*l\/((l**(1\/9)\/l)\/l))**22)**(38\/7) assuming l is positive.\nAnswer: l**(66880\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 3*y**2 + y - 1. Let n be z(1). Suppose 0 = -5*c + 20, x - 10*c + 8*c = 45. Suppose -x = -5*g - 38. Solve -2*r + n = 4*w - 19, -3*w = -3*r - g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -162*w**3\/13 - 9630*w**2\/13 + 15274*w\/13 - 5978\/13.\nAnswer: -2*(w + 61)*(9*w - 7)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -35766, -69810, -103850, -137886, -171918, -205946?\n\"Answer: 2*v**2 - 34050*v - 1718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -3 = -2*i - 5*w, 0 = 21*i - 25*i + 2*w + 18 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -v**3 - 4*v**2 + 4*v - 1. Let z = -5 - 0. Let g be t(z). Sort 1, g, -2 in descending order.\nAnswer: g, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3186\/7 - 452. Let k = 696\/217 - w. Let c be 2\/1 + (-848)\/477. What is the closest to -2\/7 in c, k, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 164230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = 7 + -2. Let b be 3\/t - (-114)\/10. Calculate the greatest common factor of b and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = f - 15. Let n be p(18). Find r such that 30*r**2 + 0*r**4 - 5*r**4 - 94*r**n + 89*r**3 = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -135 divided by -3?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sum -5 and 161.85725169912.\nAnswer: 156.85725169912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3110*b**3 + 2 + 8730*b**3 + 6584*b**3.\nAnswer: 12204*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7)\/(-2) + 1\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n = -5*x + 3*x - 40, -10 = 5*x. Let p be 2360\/72 - 2\/n. Suppose -4*d + 39 = 5*v, -d - v = 4*d - p. Calculate the greatest common factor of 15 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -21307, -43194, -65081, -86968?\n\"Answer: -21887*h + 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from {x: 7, y: 9}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-48)\/(-70) + (-2)\/5. Let g = 114 - 113.23. Let j = -0.87 + g. Sort j, s, 11 in descending order.\nAnswer: 11, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 9429 - 5?\nAnswer: 9424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 0.1551682 micrometers?\nAnswer: 0.0000001551682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aazzzzzazza.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*k = -3440 + 3536 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -18450 + 18481.004. Let t = g + -31. Round t to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is t in -t**4\/9 - 14*t**3\/9 + 530657*t**2\/9 + 176890*t\/3 = 0?\nAnswer: -735, -1, 0, 722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00051681467 rounded to five dps?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 25289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 210 = 18*f - 3*f. Suppose 0 = -f*l + 20*l - 132. What is the remainder when l is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3219.8 + -3220. Sort 0.1, z, 4, 1\/104 in decreasing order.\nAnswer: 4, 0.1, 1\/104, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x**3\/3 - 34*x**2\/3 + 74*x\/3 - 38\/3 = 0. Calculate x.\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -25*k**2 - 8*k. Let u(x) = -8*x**2 - 3*x. Let r(w) = -3*g(w) + 8*u(w). Let i(j) = 3*j. Determine i(r(a)).\nAnswer: 33*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 98*a**2 + 74*a**2 + 3122*a - 3124*a to the form i + p*a**2 + q*a and give p.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n**(-7))\/n**(-6))**39*(n*(n*n**(-2\/9))\/n)**(-8\/7)*(((n**2*n*n)\/n*n)\/n)**50 assuming n is positive.\nAnswer: n**(1342\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 35*b**3 + 2*b - 18. Calculate the remainder when o(2) is divided by 93.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 + 0 - (11 + -14)) + 3 + (107 - 149)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*w + 4*w - 2457. Suppose -107 = 4*g - w. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*b**5\/17 + 14380*b**4\/17 - 2567284*b**3\/17 + 71386048*b**2\/17 - 641479174*b\/17 + 1838859652\/17 = 0. What is b?\nAnswer: 7, 194\/11, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 11, 13, -7, -67, -185?\n\"Answer: -3*l**3 + 7*l**2 + 2*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 161 = -147. What is the least common multiple of 161 and j?\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 26462 (base 7) to base 11\nAnswer: 5375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9 + (4 - (9 - 5 - 5))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4053542 micrograms in milligrams?\nAnswer: 0.0004053542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -59\/400 and 121845\/(-24400) + (-80)\/(-16).\nAnswer: 24400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -38b6 + 6?\nAnswer: -38b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.06 and 2?\nAnswer: 2.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 203773179 and 4893?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 931, 177, -575, -1325, -2073, -2819, -3563?\nAnswer: -4305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gglzggdglgzogg. What is prob of sequence dggg?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 917184896.\nAnswer: 2, 1069, 6703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -52*t + 430 = 439 - 425 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 9595559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 1 b when two letters picked without replacement from {b: 8, n: 2, d: 1, e: 4}?\nAnswer: 32\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3893 and 25877?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence piu when three letters picked without replacement from {i: 1, v: 1, p: 2, q: 1, k: 1, u: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 - (4 - 2)) + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 + 11 - 5)*(-1 + 2*v + 1) + (0*v + v + v)*(0 + 1 - 3) + v - v + v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 203 minutes after 6:41 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 643906303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.69 - 1.31. Which is the smallest value? (a) v (b) 0.3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*q + 66*q - 4*q = 594 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 44*c + 37*c - 72*c as r*c + m and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1156\/2899 + -14\/223. Which is smaller: u or -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (15\/65)\/((8 - (-1633)\/(-207))\/((-24)\/(-81))).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 12 + -7. Let j = -4.8 + d. Let a = -195 + 1563\/8. Put a, j, 4 in descending order.\nAnswer: 4, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12141703799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 5031.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 540410 (base 6) to base 2\nAnswer: 1010110010110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -103\/376 and 31\/1786.\nAnswer: 7144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -68 - -99 - (42 + 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -137*d - 44. Let c(k) = -68*k - 21. Let h(p) = 5*c(p) - 2*t(p). What is the least common multiple of h(-1) and 35?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-2))**25\/((((r\/r**3)\/r*r)\/r*r)\/r**(1\/8)) assuming r is positive.\nAnswer: r**(-383\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 468415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ssdmm. Give prob of sequence md.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 309 minutes before 9:02 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor i**2\/2 + 103*i - 1055\/2.\nAnswer: (i - 5)*(i + 211)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -52 times 96\nAnswer: -4992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -0.5 (b) -19 (c) -4 (d) -17480 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 16*a**3 + 2*a**2 + 2*a - 8. Let j(i) = 17*i**3 + 3*i**2 + 3*i - 7. Let f(u) = -3*h(u) + 2*j(u). Differentiate f(n) wrt n.\nAnswer: -42*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, -1.2, -21, 3, -2 in decreasing order.\nAnswer: 3, 0.4, -1.2, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does -519988 = -519984?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 9055844191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -240 = -5*c - 25. Let f(l) = l**2 - 5*l - 9. Calculate the remainder when c is divided by f(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:27 AM and 8:09 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 35731.8729 rounded to the nearest 100?\nAnswer: 35700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2\/(-24)*-2 + 253\/138. Let m be -2*78\/42 - (-4 + 0). What is the fourth smallest value in -2, r, m, 4\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 181 = -15*w + 196 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 20 - 122210001221?\nAnswer: -122210001201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 5 less than -107435996?\nAnswer: -107436001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1778*k**4 + 187*k + 7 wrt k?\nAnswer: 21336*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(2\/19)*u*u\/u**16*(u*u*u**(-1\/4))\/(u*u\/(u**(-2\/3)\/u*u)))**8 assuming u is positive.\nAnswer: u**(-6754\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 3\/3134?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) be the first derivative of 1\/3*f**3 - 4 + 0*f**2 + f. What is m(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 21*l**2*v**2 - l**2*v*z**2 + 84969*l**2*z - l*v**2 + 6*l*v + 8*v**2*z - 78*v*z**2 - 7*v*z wrt l?\nAnswer: 42*v**2 - 2*v*z**2 + 169938*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 200 (base 3) to base 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dddt when four letters picked without replacement from ddtttdt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0001013145119 rounded to 7 decimal places?\nAnswer: -0.0001013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 5*i = 3*l + 7, 13 = -i - 5*l. Is i*2*(-271)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -236 - -373. What are the prime factors of n?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 34 + -271\/8. Let p = -0.4 + -0.1. Which is the second smallest value? (a) 0.4 (b) l (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 48 and 1208.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -160, 202, 3, -4, -3 in decreasing order.\nAnswer: 202, 3, -3, -4, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 2964506180 rounded to the nearest one hundred thousand?\nAnswer: 2964500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 22 + -76 - -49 - (-17 + 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 - (12 + (0 - -3))) + (67 - 62).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*l**3 + 942*l**2 - 33532*l - 70848.\nAnswer: -2*(l - 432)*(l - 41)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -2*t**3 - 2*t**2 + 2. Let f(m) = 5*m**3 + 4*m**2 + 3*m - 18. Calculate f(q) + 2*n(q).\nAnswer: q**3 + 3*q - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14 + -26 + 22 - -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = -53 - -213\/4. Let f be 2\/3 + (-5)\/6. Put f, i, 2 in descending order.\nAnswer: 2, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*s - 0*s + 33. Is ((-180)\/(-14))\/(s\/77) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2 - r + 2 - 2*r + 3*r + 0*r + (2 - 2 + 2)*(2*r + 4 - 4) + (-2 + 0 + 3)*(2 - 5 + 2)*(-34176 + 34176 + 2198*r) as c + b*r and give b.\nAnswer: -2194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -3*i. Let q(m) = m + 7. Let d be q(-5). Let x(g) = 4 + d*g**2 - 10 + 6. Calculate u(x(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4 + (4 + sqrt(720) + sqrt(720) + 1 + sqrt(720) + 5 - (5 + sqrt(720)*1 + 1)))*6)**2.\nAnswer: 103680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 1, t: 8, s: 4}. Give prob of sequence tsl.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 351145 (base 6) in base 10?\nAnswer: 30089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11 - 212012102221?\nAnswer: -212012102210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 10299821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j*j\/j**(-19)*j*j)\/j**13)**(-2\/25))**(3\/25) assuming j is positive.\nAnswer: j**(-12\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -2*n**2 - 44*n - 228. What is i(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 44*x. Let g(o) = -13*o - 4. Let s(p) = -12*p - 3. Let h(f) = -3*g(f) + 4*s(f). What is 24*h(z) + 5*j(z)?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = j**2 + 5*j + 5. Suppose 2*w - 22 = -3*f - 9, -5*w - 5 = 0. Let t(b) = 7 + 18*b + 4 - 13 + 3*b**2 + 20. Give f*t(h) - 18*n(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 1711, 3420, 5133, 6850, 8571, 10296?\n\"Answer: 2*z**2 + 1703*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -142128 divided by 189.\nAnswer: -752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 9690407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find y such that 2*y**4\/7 + 613058*y**3\/7 + 14712238*y**2\/7 - 613058*y\/7 - 14712240\/7 = 0.\nAnswer: -306505, -24, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 25283, 25285, 25287?\n\"Answer: 2*v + 25281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -89*g + 85*g - 48 = 2*q, 0 = 11*g + 121 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -78 + 80. Suppose -126 = -3*w + q + 318, -3*w + i*q + 441 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2008620?\nAnswer: 2, 3, 5, 11159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*l = 3*n + 6 - 14, 0 = n - l - 4 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 18 - 26 - 2*c + 26 as f + y*c and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s**(2\/11)*s)\/s*s)**(-37))**(-2\/61) assuming s is positive.\nAnswer: s**(962\/671)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1135 or 1133?\nAnswer: 1135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -67*r = 11*r + 14*r - 9384. What is the remainder when 13463 is divided by r?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1616, 1688, 1808, 1976, 2192, 2456, 2768?\nAnswer: 3128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2609.589 millilitres in litres?\nAnswer: 2.609589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 11*b - 346. Give s(35).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k be (1*7)\/((-8)\/104). Let c = -17 - k. Let m be 1*(-2 + c\/36). Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*z - 6 = -44 - 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:45 PM and 4:41 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 5136 divided by 1?\nAnswer: 5136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3190 - 3173. What is the remainder when 280 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -y**3 + y**2 + y - 1. Let f be t(1). Suppose 4*s - 3*i = -299 + 1061, 4*i + 8 = f. Calculate the greatest common factor of 21 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.2 and 6480519.\nAnswer: 1296103.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -v**2 - 34*v + 36. Let l be j(-32). What is the greatest common divisor of l and 500?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00975 rounded to 4 dps?\nAnswer: -0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3240, 6287, 9134, 11781, 14228?\nAnswer: 16475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o - 5 = -25. Suppose 0 = 4*n + 3*k - 19 + 2, -5*n + 2*k + 4 = 0. Find the first derivative of o - 4*j - n - 3 + 3*j wrt j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*o + 24 = -10*o. Let y be o*(11\/(-4) - -3). Sort y, -1, -1\/7 in decreasing order.\nAnswer: y, -1\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that 4*s**5 + 708*s**4 + 2780*s**3 + 2060*s**2 - 2784*s - 2768 = 0.\nAnswer: -173, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = 74*s + 741. Let a be r(-10). Solve 5*w + 6 = a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -20, 16, -12, 3, 132 in decreasing order.\nAnswer: 132, 16, 3, -12, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -188100225 divided by -405?\nAnswer: 464445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 8 - (4 + 4 + 5 + 5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 + c)*((0 + 0 + 2)*(-2 - 2 + 2) + 1 - 21 - 4)*(-4 + 0 + 5).\nAnswer: -28*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y be 152 + 0 + (1 - 7) + 3. Let a = 157 - y. What is the remainder when 11 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Differentiate 98*a**3*x - 22*a**3 + 4*a**2 + x**3 with respect to x.\nAnswer: 98*a**3 + 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g*g\/g**1)\/g**(-7))\/((g*g**1)\/g)**6)**(-6\/11) assuming g is positive.\nAnswer: g**(-12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.02 - 2.98. Let i = 5.205 + 0.095. Let t = 5 - i. Which is the closest to -2? (a) 5 (b) h (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -v**3 - 7*v**2 - 8*v - 8. Let h be b(-6). Let n be (24\/(-8))\/((-3)\/h). Solve 5*j - 21 = 2*p - 0, n*p + 4*j = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 10, -12, -3 in descending order.\nAnswer: 10, -3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(832) + 2)*1 - ((2*sqrt(117)*2)\/sqrt(9))**2.\nAnswer: -206 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*j + 40 = 14*h + 5, 5*j = h - 40 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-12*9\/60)\/(24\/(-10))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 80702388 divided by -3103938\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t = -6313 - -6313. Let s(d) be the third derivative of 0*d + t - 1\/12*d**4 - 1\/120*d**6 + 1\/12*d**5 - 1\/2*d**3 + 4*d**2. Determine s(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 73222.\nAnswer: 2, 31, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 37 - 40*j + 32 + 38 - 43. Let u(v) = -59*v + 96. Let z(b) = -7*p(b) + 5*u(b). Differentiate z(f) with respect to f.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1157.7781 minus -0.0624?\nAnswer: -1157.7157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 53 divide 476364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = 2*q. Let k(d) = -d**2 + 20*d - 72. Let w be k(6). Suppose -13 = 3*y - z, -6*z = -2*y - 2*z - w. Determine s(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 19 and -1911485?\nAnswer: -36318215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 3*a**3. Let b be z(1). Find the third derivative of -t**b + t**2 + 0*t**2 - 3*t**2 wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = -7 - 11. Let k = 13 - l. Let y be k\/(24\/(-33))*2. Which is the smallest value? (a) -0.3 (b) 0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = d + 3. Calculate the lowest common multiple of b(5) and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 3 + 3)*(-2*y**2 + 2*y**2 + 3*y**2)*(-36458 - 1555*y + 36458)*(y**2 - 3*y + 3*y).\nAnswer: -4665*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 167\/432 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -3924993, -7849952, -11774911, -15699870, -19624829?\n\"Answer: -3924959*r - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3\/7 + (303\/(-21) - -10). What is the closest to 0.1 in y, 0.2, -0.28, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -28*s + 52 + 42 - 38 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 657 and 981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 148 minutes after 2:33 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from {s: 1, f: 1, q: 1, y: 1, i: 2, a: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1194*v**3 - 949*v**3 - 3*v**2 + 3*v**2.\nAnswer: 245*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 1\/5 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-15)\/30*(-1 - -1))\/(-2). Let n be ((-5)\/(-3))\/(1\/3). Sort -1, n, c in increasing order.\nAnswer: -1, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 70750694 to the power of 1\/2, to the nearest integer?\nAnswer: 8411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-60)\/(-18))\/((-10)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 31799088 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -57 - 22 - -21 - -25.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -29 - 2*x**2 + 57 + 13*x - 36 - 48*x. Let c be d(-17). Solve -2*h + 2 = -4*m - 4*h, 3*m + 3*h + c = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -615 + -312?\nAnswer: -1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 37*z - 2. Let k be s(1). What is the highest common divisor of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 9*z. Let a(n) = 1769*n. Determine a(g(q)).\nAnswer: 15921*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-14)\/4)\/(-1*(-2)\/(-4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -2*b**3 - 37*b**2 + 69*b + 822. Determine s(-19).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 76968036133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*z - g + 74, g + 76 = 4*z + z. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -299016606*b**3 - 744743344*b.\nAnswer: -1794099636*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out 5.023 - 0.33.\nAnswer: 4.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*x - 8 = -18*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) be the second derivative of 0*h**3 + 1\/12*h**4 + 0*h**2 + 0 + 3*h. Let w(o) = 2*o. Give w(y(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = -85 + 89. Suppose -93 = -5*l + 6*v - 2*v, -q*l - 2*v + 90 = 0. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -16702680, -33405369, -50108058, -66810747?\nAnswer: -83513436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2804006386.\nAnswer: 2, 1402003193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1016 + 370. Let d = 655 + t. Solve d = l + 14 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 190*j**2 + 260 wrt j.\nAnswer: 380*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 425939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2 + -2c01a?\nAnswer: -2c01c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -19\/208960 and -21\/16?\nAnswer: 208960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 642736 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/4 + (-882)\/28. Let j be 2\/(-3)*48\/k. Let t be 10*(4 - 3) + j. Solve 0 = 2*r + 6, 12 + t = 4*o - r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -68*b + 77*b - 4 + 4.\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 67444272 and 24.\nAnswer: 67444272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -w**4 - w + 2 + 2*w**3 + 0*w**3 + 2*w**4 in the form o*w**4 + y*w**2 + v + p*w**3 + c*w and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rffmrncvc. What is prob of picking 1 n and 1 r?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -4.4, -2\/7, -1\/2, 0.3, 4 in ascending order.\nAnswer: -4.4, -1\/2, -2\/7, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = 7*q - 40 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 3769, 3364, 2957, 2548, 2137?\n\"Answer: -l**2 - 402*l + 4172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nsts when four letters picked without replacement from {n: 2, p: 5, q: 2, s: 5, b: 1, t: 2}?\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 463 minutes before 5:17 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3\/394 - 2555\/788. Let g = -586.063 + 589.063. Which is the fourth smallest value? (a) -2 (b) g (c) -1 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2197039.\nAnswer: 13, 169003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 404 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 172423017?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = d + 2. Give b(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 259176?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 151\/576 and -27\/652?\nAnswer: 93888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2120 + 1120200111110?\nAnswer: 1120200101220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 3 (b) -2\/5 (c) 1879 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((40\/(-12))\/(-1))\/(1\/(-3))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:29 AM and 3:30 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 5 + 0*q**2 + 2*q**2 - 4 - q + 0. Suppose u = 6*u - 5. Let g(o) = o**2 + o + 1. Let j(k) = u*g(k) - n(k). What is the second derivative of j(z) wrt z?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*t**2 - 58*t - 108.\nAnswer: -2*(t + 2)*(t + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2541095 is divided by 574?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q be 12*(-3 + 20\/6). Suppose -12 = r + 4*d, 0 = 5*r + 3*d - 8*d - 15. Suppose -y - i = -2*y + 29, 2*y + q*i - 64 = r. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(3\/11)\/(z\/(z\/(z\/(z\/(z*z**(-16)))))))\/(z**(-29\/4)*(z*z\/z**(-2\/17))\/z) assuming z is positive.\nAnswer: z**(16011\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 - 1 + 1)*(2*b - b - 4*b) - 5*b + 2*b + b as q + a*b and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k be (13\/(-26))\/((-1)\/(-6)). What are the prime factors of (-692)\/(-6)*k\/(-2)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + 6\/((-2)\/(-5)*15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from {s: 2, h: 7, v: 2, d: 2, j: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 2*p - 155. Let j be d(-12). Let w = 528 + j. Is w a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 336830, 336791, 336738, 336665, 336566, 336435?\nAnswer: 336266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.2 - -0.1. Let w = 0.8 + -0.6. Put 8, c, w in decreasing order.\nAnswer: 8, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 21679.73 to the nearest one hundred.\nAnswer: 21700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -j**3 - j**2 - 1. Let o be t(0). Let v = o - -5. Factor -2*q - q**4 - 2*q**2 + 4*q**4 - 2*q - q**v + 4*q**3.\nAnswer: 2*q*(q - 1)*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: What is -18057.58 rounded to the nearest 100?\nAnswer: -18100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 24 and 26?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j - 2*h = -55, -3*j + 2*j + 11 = h. Suppose 0 = 3*t - j - 4. Solve 16 = -t*z - 5*l + l, -3*z - 4 = l for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 1239, 4962, 11173, 19878, 31083?\n\"Answer: c**3 + 1238*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1591 - 698. Suppose z - 13 = 10*a. What is the remainder when a is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -56, -72, -88, -104, -120?\n\"Answer: -16*a - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -195.4 + 196.4. Let p = -7.3 - -8. Let l = 0.2 - p. Put l, k, -5 in ascending order.\nAnswer: -5, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 149078, 298092, 447106?\nAnswer: 596120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-57 - -272 - 255) + 16 + 1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -62\/999 and -20\/194361.\nAnswer: 1749249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7662?\nAnswer: 2, 3, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*d**2 - 2*d**2 + 2*d**2)*(20*d + 187*d - 11*d).\nAnswer: 392*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5197 - 5201.6616. Round u to 1 decimal place.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 3*c + 455. Let r(k) = 2*k + 247. Let i(u) = 11*r(u) - 6*v(u). Give i(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 85429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1 - 16\/4)*-1. Suppose -n*l = -7*l + 16. What is the remainder when (-23 + 0)*(1 - 2) is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9964.687 grams in kilograms?\nAnswer: 9.964687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h - 111 = -3*i, -5*h + 1547825 = -19*i + 1548437 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1.163 and -4241.\nAnswer: 4932.283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 36592401 to the nearest integer?\nAnswer: 6049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*((sqrt(272)*2)\/sqrt(8) + sqrt(340)\/(sqrt(10)*2 + sqrt(10))))\/(sqrt(4)\/((sqrt(32)\/sqrt(2))\/sqrt(8))*-3) + 2.\nAnswer: -14*sqrt(17)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 7653, 7157, 6673, 6207, 5765, 5353, 4977?\nAnswer: 4643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 98*z - 11219. Calculate s(111).\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 13 divided by -3\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b**(3\/28)*b)\/b)\/b*b*b**(-7))\/(((b*b*b**(-11)*b)\/b)\/b*b*b**(-27)) assuming b is positive.\nAnswer: b**(815\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 58221 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 115344*r**3 + 301386 wrt r?\nAnswer: 346032*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 117 + -120. Let o = -41.83 + 41.9. Put -4, c, o, -5 in descending order.\nAnswer: o, c, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3378*j**3 + 113*j**3 - 384*j**3 + 3723*j**3.\nAnswer: 6830*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-400)\/(-280))\/((-120)\/(-70)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -6*p + 2*p + u - 25, 0 = 5*p - 5*u + 50 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 26333?\nAnswer: 17, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 104 - 98 + 4*a - 19*a - 11*a**2. Let d(k) = 5*k**2 + 1. Let i be d(1). Let m be h(i). What is m rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i**2\/5 - 33672*i\/5 + 141725448\/5 = 0. What is i?\nAnswer: 8418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 118 is divided by 100.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3\/2 in -0.88, 0.5, 0.4, -9, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2076409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -8*p + 12. Let v be ((-31)\/2 + 5)*(14 + 4). Let b = -187 - v. Let k(z) = -z + 1. Give b*o(g) - 24*k(g).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -52 = x - 5*y, 79 + 103 = -5*x - y. Let p = 41 + x. Calculate the highest common factor of p and 48.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*k + 14*k = -16505. Let m = k - -6888. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -59717 - -214020. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -6.1829 - 2.8171. Let l = -0.9 + 3.9. Is m greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify n*n**(-1\/8)*n*((n**6\/n)\/n*n)\/n*(n*n**(2\/17))\/(n**(-2)\/n) assuming n is positive.\nAnswer: n**(1359\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2531730 divided by -6.\nAnswer: 421955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**11\/p)**(-4)\/((p*p\/((p*p**(-2\/5))\/p))\/(p*(p*p\/((p*p**(-6)\/p)\/p)*p)\/p*p)))**(2\/27) assuming p is positive.\nAnswer: p**(-314\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = -14 - -9. Let o = x + 5. What is the nearest to -1 in -2\/9, o, -0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is b412 + 1?\nAnswer: b413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kmaivivla. Give prob of sequence al.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 16 in 5, 10, -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 11 minutes after 4:37 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 4, 11119, 0.3, 1\/5, -2?\nAnswer: 11119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -23653.41279 - -0.41279. Let u = 23635.549 + s. Let w = -17 - u. What is w rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 2179, 8527, 19101, 33895, 52903, 76119, 103537, 135151?\n\"Answer: -o**3 + 2119*o**2 - 2*o + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 39726?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h be 474\/42 + 2\/(-7). Let c = h + -20. Let b = 21 - c. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:52 AM and 9:49 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -813085, -813097, -813107, -813115, -813121, -813125?\n\"Answer: n**2 - 15*n - 813071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-9)\/21 + (-9)\/(-21))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -513343 + 201313?\nAnswer: -312030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3420 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) be the second derivative of -1\/2*a**2 + 0 - 5\/18*a**3 + 17*a + 1\/60*a**5 - 1\/36*a**4. Factor f(x).\nAnswer: (x - 3)*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 678177724 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 259076211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 68 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 311 = 312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 3 + -222?\nAnswer: -21b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c be (20 + -27)*10\/(-14). Solve -3*s = c*u + 26, 7*s - 2*s = u - 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -62\/5 + 568\/45. Let d = 1.8 + -1.82. Let r = d - 0.18. Which is the second biggest value? (a) -3 (b) r (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -235\/8 and -1382 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -c - 3*k, -4*c + 0*c + 24 = -4*k. Let o(u) = u**2 - u + 2. Let p be o(3). Let l = p - c. What is the highest common divisor of 3 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -ba69 (base 13) to base 12\nAnswer: -13020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -4*s - 10. Calculate the remainder when 2\/(2072\/343 - 6) is divided by v(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-y + 1 - 1 + 0*y - 2*y + y + (-y - 2*y + 5*y)*(-4 + 5 - 2) - y + y - y + 2*y - 3*y + 2*y)*(-72*y**3 + 456*y**3 + 8*y**3) - 2*y**4 + y**4 + 3*y**4.\nAnswer: -1566*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(76)*1 - sqrt(76)) + -3)**2 - (sqrt(114)\/sqrt(54) + (sqrt(2736) - (sqrt(2736) + -1) - sqrt(19)))) + -3.\nAnswer: 2*sqrt(19)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -27*j**2 + 171*j - 55. Give h(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 3230 + 3*f**4 + 202*f**2 - 3229 - f**4 - 4*f**4 in the form v + z*f + o*f**2 + q*f**3 + m*f**4 and give o.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*n + 3*n - 76701 = -3*h, 0 = 10*n + 60. What is the thousands digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -371*s**2. Let a(j) = -198*j**2 - 12. Determine a(k(w)).\nAnswer: -27252918*w**4 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -18*l - 83. Let j(d) = -45*d - 320. Let i be j(-7). Let y be b(i). Solve 4*c - y = -3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Determine x, given that 2*x**4\/5 + 69403132*x**3 + 20069978163211152*x**2\/5 + 386922051066226838809108*x\/5 + 386922030996249022613614\/5 = 0.\nAnswer: -57835943, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = -28237 + 28254. Solve -4*t + 3 + a = 2*w, 15 = 3*t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 2*d**3 - 5*d**2 + 4*d - 6. Give f(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 25811 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: What is next in 298312900, 596625803, 894938706, 1193251609, 1491564512, 1789877415?\nAnswer: 2088190318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -21 + 25 - ((-4 - -1) + 12 + -27).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 2*t = 30, b - 2 = t + 8. Suppose 27 = b*p + 7. Solve -p*j = 20 - 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.1042 + 765.1042. Let j = -764.999545 + u. What is j rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*h + 3*h + h)*(-3*h - 4*h + 5*h) - h**2 - 24*h + 24*h + (-3 - 1 + 3)*(3*h**2 - 3*h**2 - h**2) as t*h + g*h**2 + s and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3576 + 191 = 4*o - 3*q, 0 = -o + 3*q + 953. What are the prime factors of o?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - y**2 + 0 + (-y - 2*y + 5*y)*(-152*y + 203*y + 170*y))*(y - 2*y**2 - y).\nAnswer: -882*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -c**2 + 7*c. Let x be w(5). Suppose -y = y - x. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 83957, 335743, 755391, 1342901, 2098273?\n\"Answer: 83931*o**2 - 7*o + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 5*d + 0*d - 1050 = 0, -2*d + 1022 = 5*v. Let z = 442 - v. List the prime factors of z.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1143414 (base 5) to base 4.\nAnswer: -11103212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (74 - 123 - 111)*(0 + 2*r - 1 + 0) + 2 - 2 + 4*r.\nAnswer: -316*r + 160","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 59, 480, 0, 5, -1, 1 in increasing order.\nAnswer: -1, 0, 1, 5, 59, 480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let -5*l**4 - 20*l**3 + 20*l**2 + 80*l = 0. What is l?\nAnswer: -4, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = i**2 + 323*i + 648. Give w(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Do -664 and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*w = 4*w - 44 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/q**2*q)\/(q\/(q*q\/(q**(2\/15)\/q))))**(-38) assuming q is positive.\nAnswer: q**(-1064\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(190)\/(sqrt(10) - -3*(sqrt(110)\/sqrt(11) + sqrt(10))) - (sqrt(19) + -5*sqrt(171) + sqrt(19) - sqrt(57)\/sqrt(3)*-2))**2.\nAnswer: 115596\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z be 0 - 2 - (-5 - -1). Let g = z + -1. Solve -g = i + 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 795 a factor of 36881777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 78 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = 48 + -30. Let s be -3 - (1 + 1)\/(-1). Let j(c) = -4*c**3 - c**2. Let k be j(s). What is the highest common factor of k and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 6208, 2\/7, -5, 1\/3, 7 in ascending order.\nAnswer: -5, 2\/7, 1\/3, 7, 6208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*u - 4*z - 1482 - 1360, 5*u + z - 2827 = 0. Let o = u - 3. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -86 - -81. Let b = 3 + -3.5. Let r be (-3 - 0)*(-2)\/9. Put b, r, i in ascending order.\nAnswer: i, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 3 + 5)*(-3*z + 3*z + 36*z).\nAnswer: -36*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*v - 4*q = -2 - 5, v + 3 = -3*q for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 22668387?\nAnswer: 3, 7, 19, 56813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/5, 1\/4, 0.2, -4, -0.4, 184 in ascending order.\nAnswer: -4, -0.4, 0.2, 1\/4, 2\/5, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -231310 + -103?\nAnswer: -232013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2*((-16)\/(-6))\/((-9)\/(-540)*20).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 4 + 3)*(0 + 0 - z) - 1 + 1 + 179*z - 157*z.\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -i. Let x(j) = -625*j. What is x(p(c))?\nAnswer: 625*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of -5543.8 and -959.4.\nAnswer: 5318721.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 1 + 2 = 0. Suppose 5*n = 15, 5*n - 12 = -x*y + 27. Suppose 2*k - 12 = 34. What is the remainder when k is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*t + 18*t + 21*t. Suppose -4*g + 36 + 24 = 0. Let p be (10\/4)\/(3\/6). Solve t*n = p*n + g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 153543?\nAnswer: 3, 13, 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 9.080423ml?\nAnswer: 0.009080423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1 - -2)*-1 - -20. Suppose -c + 5*t - v = 0, c - 3*t + 4 = -t. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -84 - -70. Is -14 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (1*(-36)\/(-30))\/((-4)\/(-10)). Solve h - 8 = 3*b, 8*h - 14 = i*b + 4*h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 57\/2 of a millennium?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or -39\/2108140?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1\/36 and 5\/1743056?\nAnswer: 15687504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -336 = 284*f + 221*f - 481*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find f such that 20*f**2 - 45*f**2 + 13*f**2 - 104 - 44*f + 16*f**2 = 0.\nAnswer: -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2202 divide 11582520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -410995, -410978, -410961, -410944, -410927?\nAnswer: -410910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 17821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 471893 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) be the first derivative of 2*r + 52 + 1\/2*r**2. Let m(h) = -4*h - 6. What is 10*d(t) + 3*m(t)?\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.85 + -1.03. Let p = 46606.4199995 + -46606.6. Let x = l - p. What is x rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -94 + 100. Suppose o + 4*o = 35. Let s(r) = r**2 + 6*r - 6. Let n(l) = 3 - l**2 + 9 - 7*l - 5. Give o*s(a) + v*n(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 810575525.\nAnswer: 5, 32423021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 165882505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -15*z**3 + 6*z**2 + 13*z + 9. Let b be h(-3). Calculate the greatest common divisor of b and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 378, 757, 1136, 1515, 1894, 2273?\n\"Answer: 379*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 54, 89, 110, 111, 86?\n\"Answer: -s**3 - s**2 + 45*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6870552 is divided by 92?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 97100 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 88*m + 5. What is the units digit of i(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2.3 - -0.8. Let x = -4.5 - r. What is the closest to -0.03 in 1, x, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -y**3 + 15*y**2 + 17*y - 15. Let v be h(16). Let n(t) be the first derivative of t - 34 - 1\/3*t**3 - 1\/2*t**2 + 3\/4*t**4. What is n(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 982923?\nAnswer: 3, 17, 19273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0 (b) 65 (c) -4 (d) 0.693\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -107758.624 - -0.3577.\nAnswer: -107758.2663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -686071084.885 and -0.7?\nAnswer: 686071084.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -3*d**4 + 5*d**3 + 3*d**2 - 9*d. Let z(j) = -8*j**4 + 15*j**3 + 9*j**2 - 27*j. Let w(c) = -11*v(c) + 4*z(c). Suppose w(u) = 0. Calculate u.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -7 + 11. Let m(d) = 17*d + 1. Let h(n) = 3*n**2 + 6*n + 18. What is the remainder when m(v) is divided by h(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -36a8 - d0?\nAnswer: -3778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = 28.043 + 7.957. Let o = 7 - 3. Which is the smallest value? (a) y (b) o (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/((p\/((p*p**(-46)*p*p)\/p))\/p*p*p))**33*p**(-39\/2)*p*p**(1\/10)*p assuming p is positive.\nAnswer: p**(-7512\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -10988*v**5 - 33*v**2 + 31*v + 2213 wrt v.\nAnswer: -219760*v**3 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2 + 3\/2. Let z = -2\/29 - 23\/87. What is the nearest to z in -1, 1\/6, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*q + 4*q + 32815 - 65641 + 32827.\nAnswer: 4*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 3*a**3 - 128*a + 34*a**4 - 41*a**4 + 126*a + a**2 in the form u*a + x*a**4 + w*a**2 + k + o*a**3 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 390 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 15752 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = -65 + 120. Suppose -36*x + 39*x = 36. Suppose 7*f + o = x*f. Calculate the least common multiple of f and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: What is next in -5425, -5424, -5423?\nAnswer: -5422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-136566)\/(-57) - (-86)\/817?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 8a2a - -5b35?\nAnswer: 12963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1 - -4. Suppose 0 = 4*h + 6 - 22. Suppose -4*c + 2*y - v*y = -52, 0 = h*y. Calculate the greatest common factor of 143 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 120030 divided by -7.\nAnswer: -120030\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 25*p**5\/3 - 1220*p**4\/3 + 15889*p**3\/3 - 25882*p**2\/3 + 13388*p\/3 - 2200\/3 = 0.\nAnswer: 2\/5, 1, 22, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2\/(20*(-3)\/(-12)). Let n = 0.1 + 0.9. Let w = 1 - n. What is the closest to 2\/3 in w, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from ddhdhhhhdh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand ((67*a - 52*a - 48*a)*(3*a - 4*a + 3*a) - 8*a**2 + 8*a**2 + 7*a**2)*(4*a + 3*a - 3*a)*(a + 0*a + 0*a)*(4 - 4 + 2).\nAnswer: -472*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/(t*t*t**0*t*t)*(t**(6\/11)\/t)\/t)**(4\/15) assuming t is positive.\nAnswer: t**(-196\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 4 + -30234?\nAnswer: -30230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = 19.24 - 19. Let y = z + -18.24. Let i = y - -15. Which is the smallest value? (a) i (b) -1 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -554 + -8.805801919.\nAnswer: -562.805801919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 26073400 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -74615*n**3*w**2 + 19*n**2*w**3 - 206*w**3 - 2*w**2 + 986 wrt n.\nAnswer: -223845*n**2*w**2 + 38*n*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 7*h**2 + 5*h - 3. Let t(w) = 6*w**2 + 5*w - 3. Let b(d) = -5*p(d) + 6*t(d). Let g be b(-6). Suppose -g*i = 2*i - 55. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 2*l**5 + l. Let k(b) = 32*b**5 - 38*b**3 - 1951*b**2 + 4*b - 2. Let c(z) = 4*a(z) - k(z). Find the third derivative of c(f) wrt f.\nAnswer: -1440*f**2 + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2967136950 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.3, -2\/11, 0.7, 24?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -6 - -11. Suppose -5*z = 3*u + r, -3*u + u - 14 = -2*z. Let j be z\/(-8) + 3\/12. Solve j = -4*a + 14 + 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3.400734l?\nAnswer: 3400.734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1002111210102220 (base 3) in base 7?\nAnswer: -250206621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 111101001110001 + -11?\nAnswer: 111101001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 167.7988ml in litres?\nAnswer: 0.1677988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 27\/2 of a kilogram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -10730568 or -10730609?\nAnswer: -10730609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-84)\/588 + (-5979)\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 14 from 0.699.\nAnswer: -13.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*t - 15, b + 11*t - 9*t = 62. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 2*q = 4*q - 48, 4*q = 4*t - 64. What is the remainder when 47 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2926417 is divided by 159?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 171 a factor of 100548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -2*h - 11 + 31 + 11. Let g be j(14). Let i(r) = 113*r + 3 - g - 118*r. Let p(t) = -2*t. What is 3*i(c) - 7*p(c)?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 2, h: 1}. Give prob of picking 1 g and 1 h.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-24\/5)\/x)\/x*x**(12\/7)\/x*x**(3\/23)\/x*x**(1\/34) assuming x is positive.\nAnswer: x**(-189561\/27370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor 28\/11 - 2\/11*l**2 + 26\/11*l.\nAnswer: -2*(l - 14)*(l + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-27)\/6)\/((-24)\/32). Let x(o) = -o**2 + 5*o + 14. What are the prime factors of x(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*i = 11*i - 13986. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16473973?\nAnswer: 16473973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j - 4*j + 492 = u, -400 = -4*j - 4*u. Suppose -2*z + 204 = j. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3.9 - -0.9. Let r = -1.9 - u. Let v = r + -1.10000142. What is v rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 5*o + 6 - 14*o + 6*o + o as x + j*o and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 26 (base 14) in base 4?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 125754 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -7.4 times 3763235?\nAnswer: -27847939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = x**2 + 54*x + 195. Let s = -1998 + 1994. What is l(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = w**2 - 291*w + 6994. What is k(27)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 4, m: 2}. What is prob of picking 2 s and 2 m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -46123*m. Let j(g) = 2*g**2. Determine w(j(n)).\nAnswer: -92246*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 40, 183, 428, 781, 1248, 1835, 2548, 3393?\nAnswer: 4376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rrfr when four letters picked without replacement from {d: 1, f: 2, o: 8, r: 5}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 42, 26, -16, -96, -226, -418?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((sqrt(135) - -1*sqrt(135)) + sqrt(15) - sqrt(15) - sqrt(15))\/sqrt(3).\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3057.\nAnswer: 3, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 2*z - 247. Let i(u) = 12468*u. Give p(i(q)).\nAnswer: 24936*q - 247","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 2595 = -305*v - 2590 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 480\/216*(-30)\/(-40)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 14167\/6 + -2353. Calculate the common denominator of 10*-7*9\/162 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from udtudddubddddddf. What is prob of sequence uu?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Solve t = 5*w - 6, -16464 + 16454 = -4*t + 3*w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2\/2 - (22779 - 0). Let m = 115154367055\/5056902 - -33\/280939. Let s = i + m. Calculate the common denominator of s and -75\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 4, i: 14}. What is prob of sequence ijii?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + sqrt(1088)*5 + sqrt(1088) - sqrt(1088) - (sqrt(1088) + sqrt(1088)*5 + 2))**2.\nAnswer: 64*sqrt(17) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in eleven halves of a week?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -3*j. Let w(m) = -m. Calculate -l(g) - 3*w(g).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c be 4\/(-16) + (-106)\/(-8). Let d be -1*(c + (-5 - -3)). Does d = -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -4*m**2 + 81268*m + 2604668. What is n(-32)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 93282906.\nAnswer: 2, 3, 31, 241, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 50*20\/800 + 107*3\/(-276).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 166, 614, 1362, 2410?\n\"Answer: 150*j**2 - 2*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 99 is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2114, 2101, 2088, 2081, 2086, 2109?\nAnswer: 2156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-8)\/h)**(3\/35) assuming h is positive.\nAnswer: h**(-27\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 29\/12 and 7\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10101010010110100111110 - 101?\nAnswer: 10101010010110100111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 328*k - 345*k + 3353131. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-2)\/4)\/((-3)\/348). Let y be ((-203)\/(-58))\/((-14)\/(-8)). Calculate the greatest common factor of y and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -62*b**3 + 78*b**3 - 2*b - 46*b**3 - 2*b**2 to k*b + i + v*b**2 + l*b**3 and give l.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -803787*m**3 - 176*m - 2015 wrt m.\nAnswer: -4822722*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 35027.236 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -29, -127, -299, -545, -865?\nAnswer: -1259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -p + 3*w + 3359, -11*p - 2*w + 16863 = -6*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -433\/100 - 1\/300. Let n = -181\/39 - a. Sort n, -3\/4, -3 in ascending order.\nAnswer: -3, -3\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -240*f**3 - 144*f**3 - 80*f**3.\nAnswer: -464*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -37 (base 10) to base 13\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -u + 23. Let o be a(16). Let x(t) = t**3 - 6*t**2 - 2*t + 5. What are the prime factors of x(o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -85948945063 less than -8.36?\nAnswer: 85948945054.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jhjhhjxfjhjh. Give prob of picking 1 j and 1 x.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l = 4*x - 436 - 3985, 2*l + 2*x = 2944. Suppose 0*c - l = -3*c. Suppose -4*m + c = -m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -9*j - 76. Let l be b(-10). Solve 2*z + 2*a = -2*z + l, 4*a = -4*z + 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 504, 1011, 1520, 2031?\n\"Answer: a**2 + 504*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0003609230077 rounded to 6 decimal places?\nAnswer: 0.000361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31*n + 20*n + 3663 = 0. Let a = 341 - n. Solve 7*c + c = a for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.0408 - 231.0408. Let n = -232 - g. Which is the closest to n? (a) -2\/3 (b) -0.02 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 228, -1019, -3096, -6003?\nAnswer: -9740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -q**2 + 10*q. Let b = 382 - 404. Let t be 3\/(-2) - 165\/b. Determine u(t).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 1\/4 (b) 8.55 (c) -0.17 (d) -1 (e) -0.4 (f) 50\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 17c - -2?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 72 a factor of 108823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*d*n*v + 2*d*n + d*v - 17*d + 97*n*v + 3*n + 25*v wrt n.\nAnswer: 2*d*v + 2*d + 97*v + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = -30 + 28. Let w be (0\/(1 + 2))\/(m + 1). Suppose w = 7*k - 3*k - 40. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = g + 9. Let l be p(6). Suppose 7*a = l*a. Solve 4*h + a*h + 16 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from kmmmkmmmmmmmkm.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.3? (a) -31 (b) -229263 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -16.8 times -6500\nAnswer: 109200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 74.04358 milligrams in nanograms?\nAnswer: 74043580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 4399396 smaller than 4399403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0.2, -250, 0.4, 2, -24, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) be the second derivative of -t**4\/12 - 7*t**3\/6 - 3*t**2 - t. Let w be (-2 - -2)\/((-4)\/2). Suppose w = 3*n + 15. What is u(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -110*k + 14 = -16 + 30. Let b(g) be the first derivative of k*g**2 + 25\/3*g**3 - 46*g - 30. Differentiate b(q) with respect to q.\nAnswer: 50*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 1114*f**2 - 16*f + 16. Let y(x) = 223*x**2 - 3*x + 3. Determine 3*g(c) - 16*y(c).\nAnswer: -226*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 444, 452, 462, 474?\nAnswer: 488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -47*v - 19. Let t(k) = 2. Let o(j) = c(j) - 6*t(j). Calculate the remainder when o(-3) is divided by 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -11*w**2 + 8*w + 3. Let t(c) = 4*c**2 - 3*c - 1. Let s(z) = -4*z. Let r be s(2). Let v(n) = r*t(n) - 3*q(n). Factor v(f).\nAnswer: (f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -4*o - 7. Determine p(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (12\/10)\/(32\/(-40))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4\/(-1) + (-254)\/(-2).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -43 - 43 + 383*o + 84.\nAnswer: 383*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -l**3 - 4*l**2 + l - 4. Let c(w) = w**2. Let f(g) = 5*c(g) + h(g). Suppose 90 = -10*i - 8*i. Is f(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yyyddyyyyyyy. What is prob of picking 2 d?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/((888\/555)\/((-248)\/(-10))).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 10*r**2 + 447*r + 737. What is o(-43)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 170\/70*(-945)\/(-135)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aa when two letters picked without replacement from wupnwwyauann?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -14141554.3 rounded to the nearest one thousand?\nAnswer: -14142000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 683106723 and 273?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0 + 0. Suppose -d = 5*j, 4*d = -4*j + 2*d + 6. Are j and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q\/q**(-4\/3)*q**(2\/3)*q*q*q)\/(q\/(q\/(q*q*q*(q**2\/q)\/q)))**15*(q\/(q*q**7\/q*q)*q**7)\/(q**2)**(5\/14) assuming q is positive.\nAnswer: q**(-271\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {c: 6, g: 12}.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 2*w + 3. What is q(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y - 4*v - 14 = 0, v - 7 + 6 = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 38*m + 33. Let j(g) = -50*g - 32. Let d(t) = -3*j(t) - 4*q(t). Let v(s) = -3*s - 54. Determine -8*d(c) + 5*v(c).\nAnswer: c + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v be 0\/2 + (7 - 4). Let u(f) be the first derivative of f**2\/2 - 5*f + 1. Let g be u(0). Put g, 1, v in increasing order.\nAnswer: g, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (25\/(-20))\/5 - (104\/32)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -196 + 193. Let k = -5 - -1. Which is greater: k or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -226099, -452206, -678303, -904384, -1130443, -1356474, -1582471?\nAnswer: -1808428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -6 + b8?\nAnswer: b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -642399.3 rounded to the nearest 10000?\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of j**5*m - j**5 - 29*j**3*m - 9*j*m + 7*j wrt j.\nAnswer: 20*j**3*m - 20*j**3 - 174*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 2\/(-2)*0*(-1)\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1227?\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -1.8784661 rounded to 3 dps?\nAnswer: -1.878","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*v**4 - 24852*v**3 + 298*v**2 - 316*v wrt v.\nAnswer: 72*v - 149112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = h - 1 + 3 + 5 - 3. Suppose -28*d - 4 = -30*d. Suppose -18 = 4*q - d*i, -i - i + 10 = -2*q. Determine l(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2208 - 2205. Solve o + 10 = -4*w - o, 0 = -u*w + o - 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-1)\/(-1))\/(3\/6). Suppose -4*p + 48 = -4*q, -g*q + 3 = -p + 12. Solve 0 = -3*z - 0 + p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/(-3)*3\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -40 - -13. Let w = k + 52. Find the common denominator of 46\/9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/2? (a) -15 (b) -2 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 317\/15 + -114\/5. Let j be (-244)\/168 - (-4)\/14. Let g = o - j. Which is the second smallest value? (a) 4 (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -130*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -106 - 174 = -70*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0, -0.2, -6, 0.2, 2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 35*a + 49. Determine f(-4).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -2616ba (base 13) to base 16\nAnswer: -dff44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -4 (base 16) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = -12.6908 + 12.7. Round v to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -90*v = -69*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z = -7.7516 + 7.709309. What is z rounded to three decimal places?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2066?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -14 - ((-12 - 7) + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 120023331 + 10?\nAnswer: 120030001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 252, 2415, 8288, 19725, 38580, 66707, 105960, 158193?\n\"Answer: 309*u**3 + u**2 - 3*u - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -7 - -6.8. Let r(n) = -3*n - 1. Let v be r(-2). Suppose 0*y = -v*y + 10. Which is the second biggest value? (a) -5 (b) y (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3674 is divided by 864.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(-10) + (-182)\/35.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 841264300 to the nearest 1000000.\nAnswer: 841000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7 - -5) + -41 + 25 + -9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*u**2 - 12828*u + 433840.\nAnswer: 2*(u - 6380)*(u - 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 15 + 1 = 0. Suppose c = -u*r + 6, -80 = -4*c - 5*r - 12. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -16100 by -644.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = g**3 + 27*g**2 + 45*g - 15. Let a be o(-25). Let y = a + -108. Solve n - 5 = y*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2 + 0 - 193*j + 189*j + (-3 - 2*j + 3)*(0 - 5 + 4).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 190*b**2 - 113*b?\nAnswer: 380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1595584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -16466203, -16466202, -16466201?\n\"Answer: l - 16466204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3*38\/(-19)*(-3)\/711?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 47*q - 52*q + 1210 = 0. Calculate the highest common divisor of q and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -110 (base 8) to base 5.\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 7, 39, 95, 175, 279, 407?\nAnswer: 559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 4. Let b = 55 + -59. Let m(h) = -4*h + 5. Let v(y) = b*m(y) + 5*x(y). Let f(u) = -2*u**2. What is f(v(d))?\nAnswer: -512*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 19410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 305?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1 + (-6)\/9 + 0 + (-7812004)\/12. What is i rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (((1 + sqrt(1872))*-5 + -1 - (-6*1*sqrt(1872) - (0 + 1*sqrt(1872))))*-5)**2.\nAnswer: -7200*sqrt(13) + 188096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1400.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 210262?\nAnswer: 2, 13, 8087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3 - (6 - 6)\/(2*-1). Suppose i*a = 104 + 19. Round a to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -1605*p**3 + 3*p**2*s**3 + p*s**3 + 10410*s**3 + 5*s**2 - s wrt p?\nAnswer: -4815*p**2 + 6*p*s**3 + s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -616*v - 617*v + 1843*v - 635*v.\nAnswer: -25*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -q**2 - 4*q - 2. Let a be z(-2). Suppose -46 = -3*h - a*i, 3*h - 3*i - 52 = i. What is the remainder when h is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 3*s = 36. Suppose 6*h = -0*h. Suppose -2*b - 5*x + 38 = h, -3*x + 2 = -2*b + 2*x. What is the highest common divisor of b and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 100581?\nAnswer: 3, 13, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i - 24 = -8*i. Suppose -4*r + 4*n = -12, -r + 2*n - i = 4*n. Let u = -23 + 32. Solve h - 4*l + 7 = r, 3*l = -4*h - 0*h - u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -l = -5*l + 5*i - 95, 52431*l + 5*i - 30 = 52422*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = t - 3. Suppose 0 = -3*k + 2*m + 21, -4*m - 13 = -2*k - 3*m. Let l be p(k). Suppose 4*y + 4*h + 8 = -0*h, h + 5 = l*y. Solve 2 = -f - y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) be the first derivative of -r**5\/30 + r**4\/24 + r**3\/18 - r**2\/12 - 75. Factor u(q).\nAnswer: -q*(q - 1)**2*(q + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 208, 476, 746, 1018?\nAnswer: 1292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 204 minutes before 6:55 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide 241313 by -241313.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 3569*o**2 - 10*o + 11. Is x(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r and 1 w when three letters picked without replacement from uwrwuuwrwrdvmr?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1993 + 2005. Which is the closest to 1\/69? (a) 1 (b) 0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -97212, -97211, -97210?\n\"Answer: k - 97213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1962029 and 1413?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 58726438651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1834145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 6*z + 15*z - 2 - 1 + 2. Is 20 a factor of j(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23004 - 6*w - 23004.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*w - 28*w + 69. Suppose 3*s = -w, -24*s = 3*k - 26*s - 62. Calculate the remainder when 78 is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 331 + -331.00000161. What is t rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -2*i. Let t(y) = -1120*y**2. What is t(x(d))?\nAnswer: -4480*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 273*m + 74. Determine d(0).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2156 - -2833. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4? (a) -1\/3 (b) -0.3 (c) -0.5 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44*p + 17*p + 200 = 81*p. Solve -15*a + 14*a = 3*o, 5*a = -5*o + p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1111110101 (base 2) to base 5.\nAnswer: 13023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33 = 28*p - 17*p. Suppose 0 = 2*f - p*f - 2*f. Solve -2*m - 3*m - a - 23 = f, 3*a - 11 = 5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from iaiviiuajixvj. What is prob of sequence vxva?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-5 + 30\/(-5))*4\/(-22). Suppose 5*f - 9 = w*v - 0, f = 3*v + 7. Suppose 7*k - 4*k - 24 = 0. Calculate the greatest common divisor of f and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*b + b + 4*b + (-2 + 2 - 2*b)*(-3 + 0 + 1) + 0*b + b + 2*b + (-3*b + 4*b - 4*b)*(35 + 27 - 22).\nAnswer: -112*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 2745337 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 4, 16.691, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q + 2*k = 26, -1 = -q + 5*k - 12. Solve c - q*i = 14, 3*c + 7*i + 22 = 3*i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k = -77*s + 82*s + 305, -3*k = -0*k - 17*s - 242 for k.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 574?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -173 - 212863*p + 106433*p + 106435*p. Determine v(34).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + l - 312 = 0. Let q = l - -47. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) be the first derivative of -32\/15*x**5 - 4\/3*x**2 + 26 - 12*x**4 - 22\/3*x**3 + 0*x. Suppose p(a) = 0. Calculate a.\nAnswer: -4, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand b**2 + 4*b**3 - 2*b**3 - 3*b**2 + (0*b + b**2 + 0*b)*(2*b - 3 + 3).\nAnswer: 4*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let -22\/3*t**5 + 0 - 88\/9*t**3 + 230\/9*t**4 - 8\/3*t**2 + 0*t = 0. Calculate t.\nAnswer: -2\/11, 0, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three eighths of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 26, 35, 22, -25, -118?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fourty-seven quarters of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2300625 divided by -2045.\nAnswer: -1125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 2*t**3 + 21*t**2 - 13*t - 22. Calculate b(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -441899 - 93775 - 808009 - 1086808 = 23597*n for n.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 32 - 30. Is w bigger than -0.26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5491772579?\nAnswer: 5491772579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*g - 310*g - 264*g = -1116. Determine a so that -22\/9*a + 4\/9 + g*a**2 = 0.\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*r**2 - 50*r - 42*r + 2*r**3 + 95*r - r**2 + 2 + r**2 to the form g*r**3 + i*r + x + b*r**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 42*b + 249. Let q be r(-5). Solve c + 34 - q = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -p**3 - 9*p**2 + 9*p - 1. Let z be d(-10). Suppose 0*j - z = -3*j. Let f(v) = -v + 8. What is the least common multiple of j and f(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 22122 (base 6) to base 13.\nAnswer: 1526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 2*a + 2. Let q be p(2). Let m = 18 - q. Suppose 44 = 5*d + 14. Calculate the smallest common multiple of m and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 469098609?\nAnswer: 3, 7, 269, 11863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -1707, 0, 2.\nAnswer: -1707, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 74 = -41. What are the prime factors of l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -500*b + 48 = -508*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 249*o - 198*o + 2 - 158*o.\nAnswer: -107*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a be (2\/3)\/(8\/48). Solve 7 = -4*o - 3*m, -a*o - o - m = 17 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) be the second derivative of 3*d**5\/4 + 5*d**4\/3 - 5*d**3\/2 - 10*d**2 + 23*d. Factor t(u).\nAnswer: 5*(u - 1)*(u + 1)*(3*u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -23, -8, -4, 7 in increasing order.\nAnswer: -23, -8, -4, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -45105, -45107, -45109, -45111?\n\"Answer: -2*u - 45103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) be the third derivative of -53*x**7\/3 - 2215*x**4\/24 + 1481*x**2 - 2. What is the second derivative of c(o) wrt o?\nAnswer: -44520*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 1, -415 in descending order.\nAnswer: 3, 1, -415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of d*k**2 - 966846*d*k + 298227*k**2 wrt k?\nAnswer: 2*d + 596454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2335*b - 2376 wrt b.\nAnswer: 2335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1\/(2 - 3) - -1. Suppose w*u = -4*u + 36. Let z = 91 - 46. What is the highest common factor of z and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -300.5 - -300. Which is the smallest value? (a) h (b) 1\/4 (c) -16 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4524439 a multiple of 305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -6*m**2 + m**3 + 5 + 16*m**2 - 10*m**2 - 2*m**3 - 9*m**2 + 19*m. List the prime factors of n(-13).\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 2*f + 3 - 7 = 0, -d - 4 = -3*f. What is the second derivative of 9*h**2 + 3*h - 5*h**2 - 5*h**d wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twelve sevenths of a week in hours?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2469 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0042469 to four dps.\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 1 + 20 + (0 - 19)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 140*b**4 - 74*b**3 + 2*b**2 + 59766.\nAnswer: 3360*b - 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*l + 37 + 27 = -11*l - 5*c + 4, 15*l - 50 = 2*c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (367 + 32)*(-28)\/(-12)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*a + 67 - 33*a - 65)*(0 + 2 + 2).\nAnswer: -108*a + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 66341 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-1705)\/(-558) + -8*1\/(-2) and -67\/2582?\nAnswer: 23238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30 a factor of 13\/65 + -5 + (-251622)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 693 + 1b6?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 788857523?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -18664 or -18706?\nAnswer: -18706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -59 or -4750?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c = 70946 + -70946.0190039. Let f = 0.019 + c. What is f rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 598524779.\nAnswer: 4987, 120017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gvgajsggvvfagga. Give prob of sequence js.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 14274, 28678, 43080, 57480, 71878?\n\"Answer: -v**2 + 14407*v - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -4 times -2656\nAnswer: 10624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 3581892295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = s + 20. Let d be b(0). Let i be (-423)\/(-6)*(-4)\/(-6). Let u = i - d. Calculate the highest common factor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve z - 95 + 89 = -3*b, 5*z + 5*b = 20 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 3*g + 7. Let l(x) = 16*x + 35. Let j(k) = -2*l(k) + 11*y(k). Calculate j(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -265*d**3*t**2 - 4147*d**3*t + d**3 + 23*d**2*t**2 + 2*d**2*t - 48*d*t**2 + 5*d*t + 52*t - 8 wrt d?\nAnswer: -1590*t**2 - 24882*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 5655017323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(63) - (sqrt(252) - sqrt(63))*-2)*6)\/(sqrt(72)\/((sqrt(8) - 3*sqrt(8))*3)).\nAnswer: -108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide -1561 by -3.\nAnswer: 1561\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -32*d + 1015 + 17097. Suppose -7*u + d - 559 = 0. What is the remainder when 12 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1188371629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18*q + 50*q - 23*q.\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d be 0\/((-3)\/3) - -5. Let a = -1 - -4. Suppose d*o - 157 = -6*l + a*l, 2*l - 100 = -o. What is the highest common factor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*w + 3 = -18*w. Let i(r) = 3 + 7*r**2 + r**w + 13*r**2 - 14*r**2 + 2*r. Give i(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -13818971\/2046 - 8327\/186. Let u = i - -6814. Let -6*p**2 - u*p**3 + 8\/11 - 42\/11*p**5 - 142\/11*p**4 + 8\/11*p = 0. What is p?\nAnswer: -1, -2\/3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -59\/70509 and -41\/89064.\nAnswer: 1692216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1984 - 1987. Sort k, -2\/7, -9, 0.5, 4.\nAnswer: -9, k, -2\/7, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:33 PM and 1:20 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) be the third derivative of l**6\/120 - l**5\/12 - l**4\/6 + 3*l**3\/2 - 5*l**2. Is o(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 3 + 3)*(-5*q + 6*q - 3*q)*(7 - 4 - 5)*(17 + 21 - 2 + 0 + 2 - 1 + (6 - 2 - 2)*(-3 + 2 + 3)).\nAnswer: 656*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = f + 2. Let x(j) = -7*j - 7. Let r(q) = 6*q + 6. Let h(y) = -6*r(y) - 5*x(y). Let s = -586 + -190. Let m = s + 781. Calculate m*h(z) + 2*g(z).\nAnswer: -3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 16 = -7*g - 19 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-76)\/(-342) + 1744\/(-378). Let j = c - -9517\/1512. What is the common denominator of 1\/8 and j?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2249728*x**4\/3 - 949579904*x**3\/3 - 27387984*x**2 - 790002*x - 7596.\nAnswer: -2*(x + 422)*(104*x + 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*l + 4*y + 14 = 2*l, 0 = 3*l + y + 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 39 divide 269685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -412*k + 416. Determine y(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = f**2 + 5*f + 5. Let j be d(-5). Is (-2)\/(j\/((-295)\/2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (15\/(-24))\/(((-12)\/(-8))\/(2280\/(-5510))).\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 848 and 12302.\nAnswer: 5216048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 39\/9*193\/((-258427)\/(-618))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -13088 equal to -12516?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 384*u**2 - 51*u + 50. Let f be v(1). Let n = f + 460. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28140 = -5*a - 3*g + 5*g, -3*a + 2*g + 16888 = 0. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -30008*p**3 + 2*p + 7802.\nAnswer: -180048*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 101 (base 4) to base 5.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*n + 5*r + 20, -3*n - 2 = 4*r + 13. Suppose 2*c - 2*j + 0*j + 2 = 0, -5*c - 2*j = 19. Which is bigger: n or c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 15 + -9. Let w be ((-8)\/(-10))\/((-8)\/40). Let o = 15 - w. Solve 5*l + g = -o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -h**2 + 2507*h - 57142. Determine u(23).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*r - 8760 = -6*r. Let j be r\/(-8)*(-8)\/(-3). What is j rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 15.95884 and 0.0438.\nAnswer: 16.00264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -h**3 + 4*h**3 - 2*h**2 - h + 5 - 4*h**3 - 3. Let j be l(-2). Let 0*q**2 - 6*q**2 + 4*q**j + 2*q**2 + 0*q - 2*q**5 + 2*q = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 2 s when three letters picked without replacement from aasyssssyksakss?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -155*g + 45. Let l(k) = k**3 - 6*k**2 + 7. Let q be l(6). Let x = q - 52. Let c(z) = -7*z + 2. Give x*c(t) + 2*b(t).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-11)\/(-10)*12*5 is divided by ((-460)\/(-100))\/((-2)\/(-10)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 38*a + 847 = -61*a + 22*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -217*b = -1990 + 471 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = -12 + 21. Calculate the remainder when 119\/5 - (-10)\/50 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((-6*(sqrt(600) - (sqrt(600) - 4*sqrt(600)) - sqrt(600) - sqrt(600)) - sqrt(600))\/sqrt(10))\/(4*(sqrt(12) + (sqrt(144)\/sqrt(6))\/sqrt(2))) + -2)*5)**2.\nAnswer: 325*sqrt(5)\/2 + 27525\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 284*t - 98*t = -744. Let z(g) = g + 7. Let v be z(-7). Put t, v, -6 in descending order.\nAnswer: v, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:52 AM and 6:17 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5 + 2. Let s = q - -4. Solve -s + 7 = -2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1)\/2 + (-27)\/(-6). Let z = -7 + 5. Let o be ((-2)\/4 - 1)*z. Put -2, m, o in increasing order.\nAnswer: -2, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 44 (base 15) in base 7?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -708.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 3*o - o - 81*o**2 - o - 17*o**3 + 82*o**2. Let h = -4 - -3. What is p(h)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1338 + 2245. What is the remainder when l is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the first derivative of -s**5\/25 - s**4\/10 + s**3\/15 + s**2\/5 + 20. Factor x(a).\nAnswer: -a*(a - 1)*(a + 1)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (10 + -2)*(-5)\/(-40) + 2. Let z be (-1)\/(3\/(3 + y)) + 9. Let w(f) = -f**2 + 7*f - 5. Determine w(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 103896 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/148*381174\/(-606)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -1578*a + 1. Let g be o(1). Let t be (-72)\/((-6)\/(206 - 8)). Let q = g + t. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -h**2 + 4*h + 612. Let t be f(-22). Calculate the highest common factor of t and 360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3 - -8. Suppose -k*m + 18704 = -2*b, 4*m - 3003 - 15697 = 2*b. Let l = b - -19642. Round l to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 5, -0.3, 3, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000002255829 to 7 decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) be the first derivative of 2*q**3\/3 + 7*q**2\/2 + 5*q + 9. Suppose -4*w - 1 = -9. Suppose -2*f + 17 = -5*a, 26 = -2*f - 2*f - w*a. What is l(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -5*l**3 - 3*l**2 - 5*l. Let p(k) = k. Let q(b) = 2*p(b) + s(b). Suppose -4 = f - 1. Let w(t) = 9*t**3 + 5*t**2 + 5*t. Calculate f*w(m) - 5*q(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -340, -333, -312, -271, -204?\n\"Answer: k**3 + k**2 - 3*k - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -6141 by -89.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2690*x**4 + 89411*x**3 + 263*x**2 - 19*x + 13851.\nAnswer: -64560*x + 536466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 56 minutes before 12:26 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 17\/3632 and -19\/16?\nAnswer: 3632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-6*(-3*sqrt(192))\/(sqrt(30)\/(sqrt(15)\/sqrt(3))) + 2).\nAnswer: 6 + 216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 394692 is divided by 447.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1115.68 - -14.32. Let j = u + -1129.9483. What is j rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -3*c + 4. Let b = -37\/10 - -21\/5. Which is smaller: b or c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 37175024.\nAnswer: 2, 2323439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -95*i + 1658. What is n(8)?\nAnswer: 898","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide 4172286 by 6.\nAnswer: 695381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Do 369820 and 369813 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 27*w - 12*w - 585. Which is smaller: 40 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 513239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 19257 is divided by 524.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -4011 divided by -191?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = 189 + -138. Let y = p + -71.8. Round y to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve n**4\/2 - 821*n**3 + 6551*n**2\/2 + 821*n - 3276 = 0 for n.\nAnswer: -1, 1, 4, 1638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 27403585, 54807169, 82210753, 109614337, 137017921?\n\"Answer: 27403584*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -21*d**2 + 153*d - 16. What is s(7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 326114*k**2*l**2*v - 44*k**2*l*v + 248*k*l**2*v + 2*k*l**2 + 36809*k*v wrt k?\nAnswer: 652228*l**2*v - 88*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 2*n**2 + 24. Suppose 3*t - y + 4 = 0, 3*t + 1 = -2*y + 9. Does 8 divide g(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10912 is divided by 46.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -m**2 - 11*m + 3. Let i be s(-11). Let q be i*2*(-3)\/(-6). Suppose 3*u - q*h - 8 = -2*h, 12 = 4*u - h. What is the remainder when 7 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -7*d**3 - 3*d - 3. Let p(j) = 6*j**3 + 4*j + 4. Suppose -3*q + m = 7, 4*q + 3*m = 6*q. Determine q*p(y) - 4*l(y).\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4406092*r**4 - 4*r**2 + 4*r + 1073?\nAnswer: 105746208*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 14083753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 2 + w)*(2 - 2 + 2)*(145 + 205 - 436) to t*w + d and give t.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = -10 + 17. Suppose -12*x = -m*x - 5. What is the closest to x in 9, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 31 = 9. Let p = x - 38. Solve 0*l - p*l - 3*u = 13, 5*l - 4*u - 25 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - b - 6 = 4*b, 16 = 2*c + 4*b. Let s be (0 + c\/(-4))\/1. What are the prime factors of (s\/3)\/(5\/(-75))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.1, -4, -0.3, 9707?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:33 PM and 9:19 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1016*c + 123866 = -1014*c + 5*w, 2*c - 5*w - 123906 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10257742.\nAnswer: 2, 11, 466261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:53 AM and 6:13 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 68801897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + 33 = 2*g. Let y be ((-49)\/(-21))\/((-21)\/(-18)). What is the second derivative of y*h**5 - g*h - 73*h**4 + 36*h**4 + 37*h**4 wrt h?\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (13 - 25 + 7)*(-3 - 1 - 4)*(j + 0*j + 0*j).\nAnswer: 40*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1253791967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Determine f so that 2*f**3 + 52*f**2 + 142*f + 92 = 0.\nAnswer: -23, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 7*h - 1. Suppose -h*y = -5*o - 26, y - 2*o = -1 + 9. Solve -a - 4*w = 2*a + y, 2*a + w = -8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is d in -1085481*d**4\/2 + 181278*d**3 - 20223*d**2 + 758*d - 1\/2 = 0?\nAnswer: 1\/1489, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 75\/43 - 7061\/3999. Let b = 4761 + -4761.2. Put 1\/7, b, 2, h in decreasing order.\nAnswer: 2, 1\/7, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uzzuuu. Give prob of picking 2 z and 2 u.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 2987669001288 - -4\nAnswer: 2987669001292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 7082332 or 7082321?\nAnswer: 7082332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r = -15.9 - -0.9. Let w = -15.75 - r. Let j = -0.74919 - w. What is j rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 4, k: 2}. Give prob of picking 1 k and 2 p.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 66189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3703 and 161.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 724*s**3 + 922*s**2 + 2*s wrt s.\nAnswer: 4344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 111 - 45. Let m = 56 - 39. What is the remainder when h is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(((4 + sqrt(2057) + 4)*3)**2 + 1 + 1*sqrt(2057) + (-2 + sqrt(2057) + 1)**2).\nAnswer: -84592 - 6292*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00014264 to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*l - l + 2*l)*(51*l**4 - 35*l**4 - 36*l**4) + 4*l**5 + 5*l**5 - 5*l**5.\nAnswer: 24*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 9291 divide 1047100106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 355*h**2 + 3186*h - 3170. Let l(o) = -254*o**2 - 2124*o + 2113. Let v(n) = 5*i(n) + 7*l(n). Factor v(t).\nAnswer: -3*(t - 353)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = h + 9. Let g(f) = f**2 - 18*f - 3. Let r be g(18). Let u be p(r). What is the tens digit of (43 - -3)*3\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 81\/28 and -6 + (-9435)\/(-1200) - (2*-1 + 3)?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.097907 times -1.47\nAnswer: -0.14392329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 6 divided by 4715054?\nAnswer: 3\/2357527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 0 (b) 2 (c) -0.09 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -s**3\/7 + 4872977*s**2\/7 + 2784560*s + 19491924\/7.\nAnswer: -(s - 4872981)*(s + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 143612 is divided by 15951?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1.54911 + 1.55. What is i rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -341 = 12*o - 821. Calculate the remainder when 4\/(-18) + (-713)\/(-9) is divided by o.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5\/(-35))\/((-2)\/(-14))*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 517*k. Let p(m) = -62015*m**2. Determine p(i(h)).\nAnswer: -16575927335*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 12*y + 8*y - 2*y to the form n + i*y and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 58 a factor of 549665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 681 minutes after 1:58 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3096 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*s = -83*s + 3760. Calculate the remainder when 42 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = a**3 + 4*a**2 - 4*a - 17. What is v(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1111 + 111?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) be the first derivative of 13*d**3\/3 + d**2 - d + 16. Calculate s(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 8*x. Let o(r) = 4*r**2 + 2*r + 2. Let y(k) = 5*k**2 + 3*k + 3. Let g(j) = 3*o(j) - 2*y(j). What is g(l(v))?\nAnswer: 128*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1396ac + -5?\nAnswer: 1396a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2007? (a) -1\/9 (b) 1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -1846*u + 1856*u + 60. Which is the third smallest value? (a) u (b) -5\/12 (c) -2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.1, -53361, -2, 2\/13, 1\/6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (147 - 139) + -6 + -1 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0792034 to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (-6*((sqrt(50)\/(sqrt(6)\/sqrt(3)))\/(sqrt(80) + sqrt(80)*-2 + sqrt(80) + sqrt(80)) - (sqrt(320) + 2 - (-1 + sqrt(5))*3)))**2.\nAnswer: 1710*sqrt(5) + 19833\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 21674.6 to the nearest 10.\nAnswer: 21670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = -26 + 31. Sort -0.04, b, -5 in decreasing order.\nAnswer: b, -0.04, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - ((-100 - -178) + -83 + (21 - -1))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1768*q - 8094 = 1767*q + 2*j, 4*j = 12. Is q a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.04 - 0.36. Let c = -0.3 - 0.7. Let p = c - -2. Put 0, x, p in decreasing order.\nAnswer: p, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21020390 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -15038375 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -300980, -1203925, -2708840, -4815725, -7524580, -10835405, -14748200?\n\"Answer: -300985*y**2 + 10*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be 0\/321*(1 - 0). Solve -5*h + 65*t + 4 = 61*t, a = 3*h - 2*t - 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 26\/5 of a hour in minutes?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 107760, 431393, 970786, 1725945, 2696876, 3883585, 5286078, 6904361?\nAnswer: 8738440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {j: 5, l: 2, t: 3, r: 1, k: 1, o: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = 8 + -8.11. Let j = 5.11 + t. Put 2, j, 3 in decreasing order.\nAnswer: j, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n = -n - 148. Let c = n + 52. Solve 4*o - 5 = 5*r + c, 0 = -4*o + 4*r + 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 19159 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-6)\/9 - 0)*-3. Let k(g) = -3*g**2 + 2*g**2 - s*g + 2*g. Let l(i) be the third derivative of -i**4\/4 - 90*i**2. Determine l(k(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 97424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from otmpjoomjlj. Give prob of picking 1 j, 1 l, and 2 o.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 468 a factor of 159588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -74*s + 227*s - 76*s + 37 - 78*s.\nAnswer: -s + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 727 a factor of 52626076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 divided by -5041.\nAnswer: -2\/5041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -239*q - 166*q + 1620 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 12434 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1247471564 to the nearest integer?\nAnswer: 35320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q + 2*n + 3*n - 541 = 0, -2*n = q - 133. Let a(m) = 68 + 12*m + 71 - q. Let b(v) = 2*v. What is a(b(g))?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) be the third derivative of -1\/30*h**5 - 1\/6*h**4 + 3\/8*h**6 + 61*h**2 + 0 + 0*h + 0*h**3. What is the third derivative of p(y) wrt y?\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1, 17\/5, 2, 4?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0001449 to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 5021536393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = -3*v - 5167212, -4*v - 5095578 = x + 1794028. What is v rounded to the nearest ten thousand?\nAnswer: -1720000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r + 3 = -q + 2*r, 4*q + 92 = 4*r. What are the prime factors of -3*2\/q*75?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2227.906 - -2223. Let g = s - -7.85. Let w = g - -0.056. Which is the third smallest value? (a) 2\/7 (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -s - 7. Let x be a(-5). Suppose 86*m + 2107 = 2193. Sort x, m, 145 in increasing order.\nAnswer: x, m, 145","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y**(1\/23))\/y**(-1\/12)*(y**(1\/9))**(3\/5) assuming y is positive.\nAnswer: y**(549\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 10 = -7*m. What is the smallest common multiple of 9 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1074169 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -9*c**3*n**3*v + 184*c**3*n**2*v**2 + 4*c**3*n*v + 163*c**2*n**3*v**2 + 30*c*n*v - n**3*v wrt v?\nAnswer: 368*c**3*n**2 + 326*c**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 181*x. Let z(k) = -5*k**2 + 209*k. Determine b(z(q)).\nAnswer: -905*q**2 + 37829*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6 - 2*3\/(-6) - -1120?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine s, given that s**5 - 27810*s**4 + 55613*s**3 + 83428*s**2 - 111228*s - 111232 = 0.\nAnswer: -1, 2, 27808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 40.7683*1\nAnswer: 40.7683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 5904038*v + 9434 = 5903932*v for v.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -143*h**2*j**2 - 53*h**2 - 2*h*j**2 + 2*h*j - 274*j**2 - 8 wrt h?\nAnswer: -286*j**2 - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 3*f + 32. Let w(l) = 3*l**2 - l + 1. Let r be w(1). What is the least common multiple of 2\/r*-3*-6 and s(-6)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence awa when three letters picked without replacement from wffafwfawwwwfawfwf.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 1972*o - 17899. Determine n(9).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w be (2 + -1 - 0) + (-1 - -2). Solve -w = d + d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-300)\/1080)\/(5*2\/(-42))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*y - 999 = -3666. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -6\/131 less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - 4*h = -j - 8, -2 = -h. Let w(q) be the first derivative of -1\/3*q**3 + j*q + 1 + q**2. Determine w(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 199584 and 224?\nAnswer: 199584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = 2022 - 638. Sort i, -3, -1.\nAnswer: i, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 7300.85 + -7478. Let h = -175 - i. Which is bigger: h or 2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -y**4 + 2*y**3 + y**2 - 4*y. Let d(p) = -120*p**4 - 1160*p**3 + 2350*p**2 - 1280*p + 220. Let c(i) = d(i) + 5*g(i). Solve c(a) = 0 for a.\nAnswer: -11, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 86*b**2 + 2*b + 15. Let q(k) = -4*k - 12. Let z(a) = -15*a - 44. Let i(w) = -11*q(w) + 3*z(w). Calculate i(r(u)).\nAnswer: -86*u**2 - 2*u - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -1345*g**2 + 368*g - 367. Calculate p(1).\nAnswer: -1344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -213 - 78911?\nAnswer: -78b24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 3 u when four letters picked without replacement from ulvdldsddulull?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m be 6\/(-9)*15\/(-25). Which is the nearest to 1\/3? (a) 1 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -14 - 7\/((-56)\/2243384) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 46*l - 11. Let i(n) = -15*n + 4. Let r = -996 + 999. Give r*g(q) + 8*i(q).\nAnswer: 18*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p = -23 + -113. Let c = 1336954 + -1336817.9882. Let j = p + c. Round j to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -b - 16*b**4 - 13 + b**2 - 4 + 17*b**4 + 0 + 15 to the form p*b**4 + u*b**2 + c + y*b + l*b**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 h when two letters picked without replacement from mwchkhlhmh?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p - 16 = 0, 2*p = -k - p - 8. Let y be 5\/(-2*(-2)\/k). Let n = y + -4. Is 2\/9 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12840 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -1\/2738704?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8 + -3 - (18 - 28)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1404 and 864.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 11935799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = j**2 + j - 1. Let h(m) = 25*m**6 + 5*m**4 - 11*m**2 - 13*m + 5. Let d(z) = h(z) + 5*k(z). Find the third derivative of d(y) wrt y.\nAnswer: 3000*y**3 + 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) be the second derivative of a**5\/4 - a**4\/4 + a**3\/3 - a**2\/2 - 6*a. Let q = 9 - 7. What is the units digit of c(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e and 1 d when three letters picked without replacement from eyqeyeed?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find n, given that -2*n**2 - 124*n - 1922 = 0.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -131\/17977420 and -91\/40449195.\nAnswer: 161796780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1125 + -1122. Let y(o) = -o**3 - 3*o**2 + 3. Let b(r) = r**3 + 2*r**2 - 2. Give g*b(u) + 2*y(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = 8*x + 5. Let g = 165 + -160. Let k(w) = -24*w - 16. Give g*k(p) + 16*s(p).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = 53*n + 72. Let h(v) = -37*v - 49. What is -7*h(a) - 5*x(a)?\nAnswer: -6*a - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5.8 - 35.2. What is s rounded to the nearest integer?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2272 or -2273?\nAnswer: -2273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w = 21 + 12. Let t = -6 - w. Solve 3*v + p + 12 = 6*v, -v + 4 = t*p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 4 + 74811?\nAnswer: 74815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from caacappyaayue. Give prob of picking 1 e, 1 u, and 1 y.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = 142*p - 30. Let n be g(6). Suppose 2*i - 8*i + n = 0. What are the prime factors of i?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 17*l + 36. Give q(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 30702 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5542 = -8*a - 9*a. What are the prime factors of a?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -5980, -11871, -17762?\n\"Answer: -5891*h - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -2*r + 3. Suppose -3*h + 7*n + 58 = 5*n, -h + 19 = -n. Suppose 3*t = 1 + h. Calculate q(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lpexexppmxp. What is prob of sequence mpel?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 4397 (b) -378 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000014260558 to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 8064 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -1010*d + 21 = -1004*d - 9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(612) + -1 - 3*sqrt(612)*1)*-2.\nAnswer: 4 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -737*a**3 - 27*a**2 - 6*a + 1. Let y(w) = w**3 + 2*w. Let z(j) = s(j) + 3*y(j). Find the third derivative of z(q) wrt q.\nAnswer: -4404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6226 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = 285.9 + -286. Let y = -10353\/26 + 399. Let q = -4\/13 + y. Which is the smallest value? (a) w (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -v - 3. Let w(z) = -4. Let h(g) = -4*m(g) + 3*w(g). Let j(n) = 0*n**2 - n**2 - 2*n**2 + 0*n**2. Calculate j(h(q)).\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = -45 + 67. Calculate the least common multiple of g and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) be the second derivative of x**4\/12 + x**3\/3 + 2*x**2 - x. Suppose 2*o = -2*o + 12. Let y = 0 - o. Give z(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w + 9 = -3*r, -2*r + 6 = -93*w + 92*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1477)\/211 - 2\/(-2)*7)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -832*a = -824*a - 304. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 1, t: 3, u: 5}. What is prob of picking 1 t and 2 u?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-185612)\/(-5) - (-2)\/(-5). Let d = -2878 - h. What is d rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -180448662754 take away 0.0149?\nAnswer: -180448662754.0149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.16 + 1.16. Which is the biggest value? (a) v (b) 3\/2 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*f + 42737 = 43003 for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = 20*h**3 + 4*h**2 + 4*h - 2. Calculate the remainder when g(4) is divided by 50\/(1899\/(-36) - -54).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4*v**5 + 32*v**3 - 24*v**2 - 28*v + 24 = 0. Calculate v.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 46 and 12627.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 269*f + 26*f**3 - 269*f.\nAnswer: 26*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -o**2 + 4*o - 1. Let i be v(3). Let u = 3 - 3.5. Let f = -13 - -13.5. What is the nearest to 1 in u, i, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 653 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 11, 0, -2, 4.\nAnswer: -4, -2, 0, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1811*q**3 - 1012*q**3 - 828*q**3.\nAnswer: -29*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide 87230 by -286.\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -32*y**3 - 120*y - 35*y**3 + 120*y.\nAnswer: -67*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(4*(-1 + sqrt(99))*-2 + 2 + (sqrt(99)*-2*6)**2).\nAnswer: -71330 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -23 + 33.5. Let g = i + -11. Which is bigger: g or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by -420604.\nAnswer: -1\/210302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/7? (a) 0.074 (b) -2 (c) 0 (d) -20 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 4, v: 1, w: 2, s: 2, p: 3, h: 6}. What is prob of picking 1 p and 1 s?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3807899?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by 2938.\nAnswer: -3\/2938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(1088) - (sqrt(1088) - ((2*sqrt(1088) - sqrt(1088)) + 0)))*-1 - ((1 + sqrt(1088))*-1 + -5))*1)**2 + -5.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000005624241694 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 6*j - 11. Let f be m(4). Let a = -27 - f. What is the units digit of (-8)\/(-10)*(-100)\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wnwy when four letters picked without replacement from {y: 2, l: 1, n: 6, w: 3, o: 5, r: 2}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out 24.26 * 1422.\nAnswer: 34497.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 9*i**3 - 1141 + 11*i**2 + 4*i**2 + i**4 - 25*i + 1141.\nAnswer: i*(i - 1)*(i + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.0448*2\nAnswer: 0.0896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/(4\/(-3))*(-516)\/10578*48\/36?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 - 3 = -4*m - 2*b, -2*m = 3*b - 4. Find the third derivative of -54*n**3 + 11*n**2 + 54*n**3 - 7*n**m wrt n.\nAnswer: -420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(209)*-5 + -5*sqrt(209)*2)\/(sqrt(11) - sqrt(22)\/(1*sqrt(2)) - sqrt(99)\/sqrt(225)) + -5.\nAnswer: -5 + 75*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = -932 - -934. Put -111, 0, n in decreasing order.\nAnswer: n, 0, -111","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (-12)\/(-48)*-181 - (-228)\/(-304)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 3 - 10 - -548 - 13 and 96?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:58 AM and 12:58 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -j**2 - 19*j - 25. What is s(-18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 33495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 2, -27, -22, 6, -3 in ascending order.\nAnswer: -27, -22, -4, -3, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out 1573 * -0.4.\nAnswer: -629.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(-6)\/(i\/(i**(-1\/15)\/i)))\/(i*i**(-2\/7))**(-19\/4))**(-49) assuming i is positive.\nAnswer: i**(13741\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = s + 4 + 2. Let h = -1 - s. Let c(q) be the first derivative of -q**4\/4 + 3*q**2\/2 + 3*q + 10. Let y(w) = -2*w**3 + 5*w + 5. What is h*c(f) - 3*y(f)?\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:50 PM and 4:20 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4433165 is divided by 3410?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + 8 = -2*x, 0*x + 3*k + 17 = 4*x. Suppose -134 = x*y + 18. Round y to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 8428631 and 615.\nAnswer: 8429246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 7*k - 36 = 0. Suppose 0 = 4*r - 2*z - 128, 66 - k = 2*r - 5*z. Suppose -2*v + r - 6 = 0. Calculate the remainder when 25 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -8 - 8. Which is bigger: -46\/3 or o?\nAnswer: -46\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p when two letters picked without replacement from vdvppddpvdhdhvvvh?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 13*k**2 - 175*k - 1. Let t be c(13). Is 28 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3931 - 3883. Calculate the remainder when 1051 is divided by g.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 + 1 - 6)*(0*t - t - t)*(17 - 9 + 25)*(-4 + 5 - 2)*(-22 + 2*t - 47 - t) to l + p*t + v*t**2 and give v.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -44*r - 35. What is t(3)?\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 - ((-7 + 1 - -2) + (2 - -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 28, 60, 96, 136, 180, 228, 280?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.1 + 0.3. Let z = -2 + 1.9. Let g = z + -0.1. Put 1, g, t in increasing order.\nAnswer: g, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -338*y**2 - 291*y**2 + 217*y**2.\nAnswer: -412*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 2 g when three letters picked without replacement from {p: 1, d: 7, g: 6, w: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = p - 3. Let j be o(3). Let w(u) = -u**2 + u + 5. Let m be w(j). Suppose -2*r - m = -3*r. What is the greatest common factor of 2 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 85 = 2*b - 3*d, 2*d - 3*d - 185 = -4*b. List the prime factors of b.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2234*n**2 - 4717*n + 4717*n as w + c*n**2 + r*n and give c.\nAnswer: -2234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = 137 - 1235\/9. What is the closest to 1 in 0, -1\/4, a, -1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 49102.\nAnswer: 2, 24551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 15*b = -196. Suppose -b*v + 3*v + 396 = 0. Let a = -2 - -4. What is the smallest common multiple of v and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 5 (b) 23 (c) -26 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express -205*v - 5*v**3 + 2*v**2 + 206*v - v**2 in the form c*v**2 + p*v + b + k*v**3 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -154 - -366 - 199 - (0 + 93 - -2)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 800 + -797. Suppose x = -x + 10. Determine n so that 2\/5*n**x + 0*n + 0*n**o + 0*n**2 + 4\/5*n**4 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 2\/7 (c) 2\/3 (d) -5 (e) 5 (f) 2371\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 417 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 2*o**2 + 8*o + 8. What is the least common multiple of (0 + (-30)\/(-35))\/(6\/56) and r(-5)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -102, -182, -260, -324, -362, -362?\n\"Answer: 2*c**3 - 11*c**2 - 61*c - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 54 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = -227 + 490. Suppose 0 = z + 3*z - 5*m - 515, 2*z - n = -3*m. Calculate the highest common factor of z and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*k = 266 - 201. Solve 0 = k*p + c - 27, -29*p - 5*c = -30*p - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from {y: 4, v: 5, n: 1}.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 1, w: 2, s: 6, r: 3}. Give prob of picking 2 s.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (50 - 0) + (-165 - -101)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: What is 0.009647 nanograms in kilograms?\nAnswer: 0.000000000000009647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = -8357 + 8377. Solve -6*p = -u*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/4? (a) -2 (b) 5 (c) -0.0349 (d) -5 (e) 2\/299\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 577.5527 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 149977 is divided by 18746?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 153 divide 203926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -8*d**2 + 19*d + 7. Let g(v) = -7*v**2 + 19*v + 8. Let w be (105\/10)\/7*2 - -2. Let x(t) = w*g(t) - 6*u(t). Find the second derivative of x(h) wrt h.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/s**(1\/12))**(-3\/16) assuming s is positive.\nAnswer: s**(-11\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -p**2 - 14*p + 6*p + 2*p**2 - 5*p to t + a*p + i*p**2 and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (-9)\/(-105)*((-7913)\/41 + (45 - 2))?\nAnswer: -90\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -40 - -43. Calculate the lowest common multiple of y and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 69*j**3 + 83*j**3 - 154*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5 - 5. Suppose l = 5*p - 13 - 2. Do p and 3 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -270 + 96. Let j = k - -291. What is the remainder when j is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (12 - 1) + 16 + 7768 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -61259 at least as big as -64503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = 5*n + 5, -5*b = 3*n - 7*b + 6. Let p be (1 - n) + (-6 - (-9)\/3). Solve 0 = p*u - 3*u + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) be the first derivative of -o**2\/2 - 2*o + 18. What is i(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-12)\/(-9)*6 + 4. Let n = l - 17. What is the third smallest value in n, -5\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -979.619 rounded to the nearest 10?\nAnswer: -980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -d**3 - 6*d**2 + 5*d - 14. Let p be r(-7). Suppose -3*j - 5*a - 23 = -p*j, 4*a = -3*j - 19. Is -1\/23 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2 - 2.0012. Round v to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -100100011001001010100 (base 2) to base 7.\nAnswer: -13064525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -78630930 to the nearest one hundred thousand.\nAnswer: -78600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) be the second derivative of 1769*n**5\/20 + n**3\/3 + 105*n**2\/2 + 1450*n. Find the second derivative of p(r) wrt r.\nAnswer: 10614*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*r + 19 - 37 + 19)*(-4*r**2 + 3*r - 3*r).\nAnswer: 24*r**3 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1689087259 to the nearest integer?\nAnswer: 41099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -t**2 - 11*t - 15. Let w be s(-9). Suppose 2*q - w*q = 5*q. Solve o + o = q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5742? (a) 3 (b) -5\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -417, 3, -4, 4, -11 in ascending order.\nAnswer: -417, -11, -5, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (7*y - 11 + 11)*(19 + 10*y**2 - 19) + y**3 - y**2 + y**2 to c + z*y**3 + d*y + g*y**2 and give z.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-100)\/(-400) + 15\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 425, 0, -5, 4, -4, 2\/3, 0.6 in descending order.\nAnswer: 425, 4, 2\/3, 0.6, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1135 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*m**3 - 4*m**3 + 3*m**2 + 23*m**3 - 6*m**3 + 30*m**3.\nAnswer: 43*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 21*t**3 - 11*t**2 - 16*t + 6. Let h(i) = -84*i**3 + 45*i**2 + 63*i - 24. Let b(j) = -21*a(j) - 5*h(j). Find m, given that b(m) = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -y**3 - 2*y**4 + y**3 + (0*y + 5*y - 6*y + 4)*(-4*y**3 + 14*y**3 + 13*y**3).\nAnswer: -25*y**4 + 92*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 151, 1629, 4087, 7519, 11919, 17281?\n\"Answer: -c**3 + 496*c**2 - 3*c - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*z**3 - 130*z**2 - 435*z.\nAnswer: 5*z*(z - 29)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.1368 - 0.6368. Which is the second biggest value? (a) 1 (b) -1549 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -18.12 + 18. Let q = 0.58 + b. What is q rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -42065.7 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(-1\/2)\/v*(v*v\/(v**(-4\/7)\/v))\/v*(v**3)**(-45) assuming v is positive.\nAnswer: v**(-1875\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2 - -7. What is the third derivative of -l**5 - 2*l - l**r + 2*l**2 + 2*l wrt l?\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-18)\/(-15))\/((-26)\/(-65))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/k**1)**(-39\/5)\/((k*k**(-5))\/(k*k**(1\/3))) assuming k is positive.\nAnswer: k**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 99 and 2923830.\nAnswer: 32162130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 13698511?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y - 8 = -6*y. Let g(k) = 2*k**2 - k**y - 3*k**2 + 3*k**2. Let q(a) = a - a + a + 0. Determine q(g(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is ((-858)\/(-45045))\/((-3)\/15)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 41006928?\nAnswer: 2, 3, 29, 89, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16348 is divided by 58.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0, 1\/5, -131, 13\/47?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x - 3*i + i - 9 = 0, i = -4*x + 23 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -82996.7*-1\nAnswer: 82996.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 40457, 40462, 40471, 40484, 40501?\nAnswer: 40522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 351 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (-60)\/350*(9996\/(-24))\/17\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(2*sqrt(1176) - sqrt(24)))\/(3*(sqrt(648) + (sqrt(648) - (sqrt(648) - (sqrt(648) - (sqrt(648) + sqrt(648)*1)))) + sqrt(648))).\nAnswer: 13*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 2126*d - 147 + 866 + 7377 = -8912 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 98610327?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -u**2 + 8*u - 6. Give m(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = -2*r + 22, 2*r + 4*a = r + 17. Let t(i) = -i**3 + 6*i**2 - 5*i - 5. Let c be t(r). Let n(g) = -5 - 2*g - 1 - 1 + 1. Give n(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15 to the power of 1\/2, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -62 (base 16) to base 12\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -2*m**3 + m + 1. Let x be y(-1). Suppose x*k + 6 = 3*d, 4*d = -3*k + 3*d - 9. Let z(u) = -u + 3. Let b be z(k). Solve 10 + b = 4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor g**4 + 56*g**3 + 402*g**2 - 976*g + 517.\nAnswer: (g - 1)**2*(g + 11)*(g + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 44510 to the power of 1\/2, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n be 16\/(-104) + (-396)\/(-39). Let a(m) = -3*m**2 - 9*m - 17. Let s be a(n). Round s to the nearest ten.\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 751472278*v**2 + 461349726*v?\nAnswer: 1502944556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u be 0*(-2)\/(-6) + 0. Suppose 0 = 3*n + 4*p - 68 - 53, -p + 4 = u. Suppose 5*s = -0*s + n. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.03 in -33, -7\/9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by 286142.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y be 20*((-21)\/15 - (4 - 6)). Suppose 5*t - q = 765, t + 5*q - 115 = y. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uzabbaaabzzzbabzba. What is prob of sequence ub?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 170, 2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 796628.2 years?\nAnswer: 79662.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 413934691 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = 35857 - 11277. Does 73 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 2*x + 0 = -3, -9 = -5*s + 2*x. Suppose 0 = s*c - 5*c + 42. Which is smaller: 19 or c?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 173 minutes before 4:07 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-2)\/195)\/((-4)\/145). Let m = -7\/13 + r. Suppose -5 + 0 = j, 4*q = -j - 17. What is the smallest value in 3, m, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*p + 0*p + 3*p)*(-2*p**2 + p**2 - p**2) + 5*p**3 - p**3 - 2*p**3 + 82*p**3 + 3*p**3 + 30*p**3.\nAnswer: 119*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = -23.3 + 23.784. Let x = -206.516 - w. Let b = -207.00000291 - x. Round b to 7 decimal places.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zzm when three letters picked without replacement from {m: 2, z: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1.7 - 5.3. Let u = 88.076 + -88. Let k = u - 0.176. Are q and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -6 + 5 + 3*n + 7. Let m(h) = -4*h - 5. Let c(d) = 5*m(d) + 6*r(d). Let k be c(6). Which is greater: -2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**4 + 1934*q**3 + 1078472*q**2.\nAnswer: -q**2*(q - 2386)*(q + 452)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = -365 - -390. Suppose -q - 3*p + f = 0, -4*q + q + 20 = -2*p. Let v(l) = -l - 11. Determine v(q).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4320516 is divided by 9392.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.44 + 0.24. Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -t + 16 - 30 + 27. Determine a(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*a + 4*a - 86. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-5940)\/(-3780) + 389\/(-7)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -98 - -93. Which is the second smallest value? (a) 4 (b) p (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 33039630*r - 23636348 wrt r?\nAnswer: 33039630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-27)\/(-12) - (-1)\/(-4). Suppose -a + 10 = 4*a, -4*b + m*a = 60. Let q be (-6)\/14 + (-76)\/b. Solve 0*o + 4 = w + o, q*o = w + 26 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 628583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 71539386 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -u**2 - 1. Let n(z) = -z. Let d(m) = m - 1. Let s be d(-1). Let a be n(s). Let t(v) = -v**3 - v**2 + 4*v + 2. Let l be t(a). What is r(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.07 times -11733\nAnswer: 821.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) be the third derivative of 17*u**9\/5040 - 13*u**5\/30 - 17*u**4\/12 + 12*u**2 + 2. Let w(h) be the second derivative of k(h). Differentiate w(o) wrt o.\nAnswer: 204*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*m - 20, 0 = -10*s + 6*s + 5*m + 1697. Suppose -s = -3*p + 5*k + 963, 4*p = 2*k + 1846. What are the prime factors of p?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -6.83 - -7.83. Let s = -6 + 5.98. Which is the nearest to -2\/13? (a) n (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1547327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 60 = -5*j, 5*h - 46 = -2*j - 1. Let q(l) be the first derivative of 3 + 4\/3*l**3 + 4*l - 1\/4*l**4 + 3\/2*l**2. What is q(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 37\/252 + 5\/36. Which is the closest to p? (a) -7\/4 (b) 4 (c) -1\/4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/(-10)*140\/(-105)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 15 = -5*r, 3*u + 0*r - 4*r = 30. Let t be ((-3)\/17)\/(9\/u). Which is the second biggest value? (a) t (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(-1 + sqrt(128) - sqrt(128)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 129423 is divided by 4173?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -24.224 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -70, -81, -100, -127, -162?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 0.7*-285628\nAnswer: -199939.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c - 2*u + 10 = 0, -4*u + 7*u = 3*c - 30. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wjw when three letters picked without replacement from jwwjw?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 1\/(-2)*(14*2\/1)\/(-2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 51085 and 162270?\nAnswer: 2758590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7516810 is divided by 19575.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 50334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -2215743*o. Let j(k) = 3*k + 2. Give t(j(u)).\nAnswer: -6647229*u - 4431486","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -21873, -21876, -21879, -21882?\n\"Answer: -3*j - 21870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3931791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1218*f - 1043*f + 4212*f)*(14*f**2 - 6*f**3 - 14*f**2).\nAnswer: -11706*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -14867.83 + 36.8921\nAnswer: -14830.9379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -474*h = 30*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -8.138 to 1 decimal place.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*h - 16 = q, 39*h + 5 = 41*h + q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.107594 to three decimal places.\nAnswer: 0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the third derivative of 5\/14*r**4 + 0 + 25\/7*r**3 + 1\/70*r**5 + 0*r + 50*r**2. Suppose q(k) = 0. Calculate k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5 + 1. Let c = w + -4. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1 + 3. Let u(s) = q + 6*s + s**3 - 2 + 0 + 6*s**2. Is 5 a factor of u(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -259 = -3*t - 45007*s + 45013*s + 95, -5*s - 312 = 6*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5\/(-7) - (26 - 8724\/336).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 13533165 (base 7) to base 10.\nAnswer: 1268853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = f + 5. Let u be d(-17). Let w(a) = -163*a + 25. Let m be w(u). Is m + -2*(-1)\/(-4)*0 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -29.38, 16 in descending order.\nAnswer: 16, -2, -29.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.054, -150, -14, -5?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 6166 divided by -9\nAnswer: -6166\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = -90 + 89. Sort -2, 1\/5, -0.5, y in decreasing order.\nAnswer: 1\/5, -0.5, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 0.2 (b) -0.2 (c) -5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000000046250948 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 10, -4, -0.2, 23\/3, 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 394 minutes after 4:23 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 19827 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4899167394.\nAnswer: 2, 3, 11, 23, 140321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = 6 - 6. Let d be ((-22)\/(-33) - 1)*2. Which is the closest to l? (a) 0 (b) d (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -u**2 - 13*u + 50. Let f(q) = -24*q - 634. Calculate the lowest common multiple of w(-15) and f(-37).\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 166050 by -369.\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -663 + 663 - 588*d**3.\nAnswer: -588*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 3625643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 619 a factor of 8138394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 366?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in 51, 29, 7, -15, -37?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 27636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50 = -8*d - 150. Let z = -6 + 1. Let v be 2\/z - 410\/d. What is the greatest common factor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tka when three letters picked without replacement from katkh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b - 5 = -b. Let n(o) = 2 + b*o - o - 3*o. Let q(m) = -3*m - 6. Calculate 17*n(u) + 6*q(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k - 20 = 0, -3*k = 3*r + 2*k - 10. Let o(c) be the second derivative of -c**5\/20 + 11*c**4\/12 - 5*c**3\/3 + 13*c**2\/2 - 6*c. Is o(r) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -133, -8 in descending order.\nAnswer: -5, -8, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = 481 + -283. What is the greatest common factor of 18 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*m**3 + 2*m - 6*m + 3*m**3 - 2*m**3 to the form o*m**2 + a*m + f + p*m**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = 18 - 9. Let t be s\/5 + (-2)\/(-10). Solve t = -2*i + 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 19*f - 1. Let b be ((-3)\/(-6))\/(7\/(-56)). Let h(q) = -38*q + 1. Let x(s) = b*h(s) - 7*o(s). Find the first derivative of x(m) wrt m.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -61\/207 - -5\/69. Let l be 2\/4 + (-15)\/18. Let x = -4.41 + 3.91. Which is the closest to l? (a) 1\/5 (b) x (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -2*p + 4. Let w(g) be the third derivative of 7*g**5\/4 - 5*g**2. Calculate the remainder when w(1) is divided by o(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*h**2 + 4*h**2 + 3*h**2 + (4*h - 5*h + 3*h)*(15 - 175 - 80)*(-4*h + 12*h - h) as q*h**2 + i + w*h and give q.\nAnswer: -3355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -14969 (base 13) to base 2\nAnswer: -1001100000101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-17)\/(-2)*2 - (-33 + 19 - -24).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -1 - -1*(2 - 1). Let i = 17501783\/278754 + -1\/19911. Let w = i + -125\/2. What is the closest to z in -2, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 372 minutes before 4:25 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is ((15\/(-3))\/35)\/((-30)\/(-63))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) be the third derivative of 1\/12*b**5 + 0 + 5\/3*b**4 + 10*b**2 + 40\/3*b**3 + 0*b. Factor z(k).\nAnswer: 5*(k + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c = 32185173 - 153912398. Let z = 1119972187\/46 - c. Let j = z + -1776. What is the common denominator of -65\/16 and j?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8906043 is divided by 145?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -t**2 + 37*t + 7. Let d be l(37). Let x(w) be the third derivative of 19*w**4\/12 - 13*w**3\/6 + w**2. Is x(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 660\/24*(-352)\/5. Let c = 34885\/18 + b. Find the common denominator of c and -37\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 162000124 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + -1 + -3 + 4 + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = a**3 - 125*a**2 + 123*a + 109. Calculate d(124).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 105 and 324?\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -48 in -1\/4, -8\/3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 51 - 183 - 1673*r + 1681*r + 132.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.24 + -0.04. Let t = 22 + -26. Let s = 3 + -1. What is the closest to q in t, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 7*o**2 - 35*o + 6. Let b(n) = -2*n**2 - 3*n + 1. Let r(l) = 5*b(l) - u(l). Let c(a) = 4*a**2 - 5*a. Give -9*c(y) - 2*r(y).\nAnswer: -2*y**2 + 5*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -727 + -6?\nAnswer: -72d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0052397 to 4 decimal places.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) be the second derivative of z**8\/14 + z**4\/3 - 2*z. What is the third derivative of y(q) wrt q?\nAnswer: 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (1 - (-434)\/(-56))\/21 - 4\/(-7). What is the fourth smallest value in 2\/3, -2\/3, 364, w?\nAnswer: 364","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -20? (a) 1\/6 (b) 2\/297 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.0152109 and -0.19.\nAnswer: -0.002890071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -48 times -0.15\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-seven quarters of a gram in milligrams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3640 + 2588 = 135*r + 384*r for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-138 - -100) + (-1 - -20)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sum 5.96858 and -114.8499377.\nAnswer: -108.8813577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, b: 1, q: 4, s: 3, c: 2, d: 1}. What is prob of sequence cs?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = 32 - 12. Let r = -2 + h. Suppose -y = -3*t - t - r, -y = -5*t - 19. Calculate the remainder when 68 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1115013979 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by 126440282\nAnswer: -5\/126440282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 164 = r + 399. Let j be 7 + r\/35 + (-19)\/(-7). Let q(m) = -2*m - 2 + 4*m**3 - j*m**3 - 4*m - 1 + 5*m**2. Determine q(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((1\/1)\/1)\/((-149)\/745)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 169458 is divided by 843.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) be the second derivative of x**4\/12 - 5*x**3\/6 + x**2\/2 + 2*x. Let u be (-7)\/(-14)*(16 + 0). Let b be (u\/5)\/((-8)\/(-20)). What is a(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 10916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1921441762 to the nearest integer?\nAnswer: 43834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 346 divided by 3.\nAnswer: 346\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*l = 3*l + 70. Let z(p) = 27*p**2 - 5*p. Let w be z(4). Suppose 5*v + 45 = u - 33, 4*u - w = -5*v. Calculate the highest common factor of u and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*k + 7*o - 33, -3504*k + 3509*k + 4*o + 3 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 2959 - -5?\nAnswer: 2961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y**2\/4 + 8334629*y\/4 - 8334627\/2 = 0. Calculate y.\nAnswer: 2, 8334627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = -61 + 64. Let h be d\/(-15) - 44\/5. Is -6 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 571 - 570 - (-11 + 14 + (0 - 8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 12, y: 2}. What is prob of sequence xxxx?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Solve -r - 4*d + 6 + 7 = 0, -2*r - 1 = -d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 153, 760, 1823, 3342, 5317, 7748?\nAnswer: 10635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -218669 divided by -103.\nAnswer: 2123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 3*r = 1695, -2600 - 213 = -5*s + 3*r. Solve 577 - s = -3*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 63661720261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17 + -22 + 10 + 29.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = h**3 + 7*h**2 - 18*h + 3. Let m be i(-9). Solve 0 + 6 = -m*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 705, 3, 0.028, -2\/11, 1\/2, -1, -2\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w = d - 10, -2 + 0 = w - d. Suppose -4*r + 52 = 16. Suppose -5*n + 5*g = -15, -3*g + r = n - w*g. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 5 (b) 1\/3 (c) -0.161\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 15.6 + 3.4. Let n = q + 36. Let k = n + -73.7. What is k rounded to 0 decimal places?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -32, 4, -7, 28, 3 in increasing order.\nAnswer: -32, -7, 3, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 990 and 78135.\nAnswer: 5156910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = -24 - -37. Let y = -11.73 - 0.27. Let x = y + t. Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*r**3 + 6*r**3 - 7*r**3)*(-r + 2*r - 3*r) + r**4 + r - r.\nAnswer: 11*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 18334 and 23484?\nAnswer: 2090076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 48 + -3 - (21 - -13)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h be (6 - (-24)\/(-4)) + 5. Suppose 3*o + 3130 = h*r + 8*o, 5*r - 4*o - 3175 = 0. List the prime factors of r.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 9, 3, -1\/9, 2, 1\/42, 12, 2\/33 in decreasing order.\nAnswer: 12, 9, 3, 2, 2\/33, 1\/42, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1641 + g + 1641.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -13 + ((10 - 23) + 19 - 14) + -6\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 18392, 73484, 165306, 293858, 459140?\nAnswer: 661152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - g + 6 = 0, 2*p - 7*p + 10 = -3*g. Let n be p + -3 + -10*9\/24. Let m be (10*(-4)\/8)\/1. Is m greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -114 (base 7) to base 12.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 541273 and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 7.598183 weeks in seconds?\nAnswer: 4595381.0784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (22 + 12 - -26 - 40) + 19 + 0?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 4\/5, -4\/3, -2\/9, 116.9?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1070 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uuiuiiiuiiiiiiiuuii. What is prob of sequence ui?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 230786 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 45770760 divided by 410?\nAnswer: 111636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.109 + 0.13. Let r = s + 2.779. Let t = 3 - r. Which is the third smallest value? (a) t (b) 0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22132*g**2 - 1080*g**3 - 22132*g**2.\nAnswer: -1080*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7229015831.\nAnswer: 76487, 94513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 99997672 a multiple of 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 1 s when two letters picked without replacement from {w: 2, m: 2, s: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 59 + 25 = 7*l. What is the remainder when (-2 + 264)\/(14\/(77\/11)) is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 7*y**2 + 959*y - y**5 + 2*y**5 - 1027*y wrt y?\nAnswer: 20*y**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2.52 - 0.28. Let m = r + 5.8. What is the second biggest value in m, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zz when two letters picked without replacement from zcciyycczy?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 141144, 564396, 1269812, 2257392, 3527136?\nAnswer: 5079044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = -2*y + 33, 2*y + 9 = -2*y - 5*h. Let b = -1 + 2. Let x = y - b. Solve x*o - 11 = -5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -1514, -2980, -4316, -5456, -6334?\n\"Answer: 11*f**3 - f**2 - 1540*f + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -11637, -23276, -34915?\n\"Answer: -11639*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/(27\/171))\/(579\/(-193)).\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1\/3 or 2351746?\nAnswer: 2351746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 42*a + 558 - 52302. Calculate the greatest common divisor of 77 and a.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-17)\/(-85))\/(4\/(-10)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 8*i**2 - 3*i + 12. Let z be r(-10). Let h = 1489 - z. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 29103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 7*m + 8 + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 15449 - 15449 + 0*x**2 + 2*x**2. Let r(y) = 250*y**2. Calculate r(p(i)).\nAnswer: 1000*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(44) + -2) + -1 + -5)**2.\nAnswer: -32*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 4*k = -38, -3*k = -3*p + k + 98. Let d(y) = 3 - 4 + 55*y**2 + 21*y**2. Let r be d(1). Calculate the highest common factor of r and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 44 a factor of 8096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -329, -2, 0.2 in ascending order.\nAnswer: -329, -2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -4\/5 (b) -2 (c) 2\/5 (d) -130 (e) 2\/33329\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j + 3*x - 3 = 5*j, j - 4*x = 1. Let s(n) = n - 1. Let u(i) = i**2 + 2*i + 3. Let t(c) = s(c) + u(c). What is the units digit of t(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = u + 7. Let j be k(-5). Let l(c) = 4 - 5 + j*c - c + c**2. Let z be l(2). Solve -z*p - 8 = 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 greater than or equal to 3\/13968164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -2*b**3 + 12*b**2 - 3*b + 40. Let f be w(6). Solve -32 + 10 = -f*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-2\/11))**27*(l**(-6)\/l*l)**(-40) assuming l is positive.\nAnswer: l**(2586\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 21\/8 of a gram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(((sqrt(242) - sqrt(242)*-1 - sqrt(242))*5)**2 + (sqrt(242) + sqrt(242)*1)*3 + sqrt(242))*5.\nAnswer: 385*sqrt(2) + 30250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4 - -7. Suppose -4*y + c = -5*y. Let z(w) = w + 6. Let m be z(y). Solve -j - m*j = -8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 91\/(-117) - (-5)\/(135\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 4799328 equal to 4799328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = c**2 + 9*c + 12. Determine d(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 213212 (base 4) in base 8?\nAnswer: 4746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*x + 0 - 4 + 2)*(48 - 48 + 7*x**3)*(6 - 3 - 2) as s*x**3 + i + a*x**4 + d*x**2 + u*x and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -50, 3\/5, -2?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 8206 and 60426?\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = 5*b + x - 128, b = 2*x + 34. Let t be (32\/b)\/((-12)\/(-27)). Suppose -3*s + 12 - 42 = -t*p, -5*s = -2*p + 26. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g**8*(g*g**(-2\/5)*g*g)\/g*g*(g**4*g)\/g**2)\/(g\/(g*g*g\/(g**(1\/10)*g*g*g)*g)*g*g**(-6))**(3\/7) assuming g is positive.\nAnswer: g**(167\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 174741.\nAnswer: 3, 7, 53, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2713699897 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-616)\/44)\/(2\/3*-3). Solve 3 = -4*y + t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24083051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 43\/2 of a week?\nAnswer: 3612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2\/1*(1 + 1). Suppose 4*t = v*n - 160, -4*n - n - 52 = 2*t. Let g = t - -90. Does 30 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be -9*(-8 + 444\/54). Sort -3, -63, n in ascending order.\nAnswer: -63, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -2*o**2 - 4*o + 3. Let t(x) = -4*x**2 - 7*x + 5. Let r = -49 - -42. Determine r*y(f) + 4*t(f).\nAnswer: -2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -8 - (8 + 0 + -18)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -13 (base 10) in base 8?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -177*m + 66*m - 1 - 4 in the form i + q*m and give q.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3.60121l?\nAnswer: 3601.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wwow when four letters picked without replacement from {o: 3, w: 3, i: 2}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that -4*l**4 + 3896*l**3 - 106260*l**2 + 291568*l - 189200 = 0.\nAnswer: 1, 2, 25, 946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 22990442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the second derivative of -d**5\/20 + 4*d**4\/3 - 11*d**3\/3 - 3*d**2\/2 + 2*d + 39. Does 13 divide g(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-30192)\/11322*12*3.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -115 - -174. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine x, given that -12*x**5\/5 - 33*x**4 - 426*x**3\/5 + 153*x**2 - 162*x\/5 = 0.\nAnswer: -9, -6, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve f + 2*f - 29 = 10 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 36*s**2. Let n(o) = 23*o + 10*o + 21*o - 39*o. Determine q(n(l)).\nAnswer: 8100*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -z. Let u(m) = -27*m. Let j(v) = -5*v. Let a(t) = 18*j(t) - 3*u(t). Give a(r(f)).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5056 - -5086. Calculate the smallest common multiple of (-1)\/(-2) - (-46)\/4 and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or -296\/699701?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*z - 114 - 10 = -14 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 5*l**3 - l**2 + l - 1. Let s be d(1). Let b be (6 + -6)*(s\/6 - 1). Let y(j) = j + 1. Let h be y(5). Sort b, -3, h in descending order.\nAnswer: h, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -60934.6 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let 1\/7*g**2 + 0 + 54\/7*g = 0. Calculate g.\nAnswer: -54, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -5*o**4 + 380*o**3 - 7220*o**2 = 0. Calculate o.\nAnswer: 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:27 AM and 8:01 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (24 + 18*n - 24 + 3 - 2*n - 3 + (0 - 4 + 6)*(0*n + 0*n - n))*(n**2 + 3*n - 3*n)*(2 + 1 - 5) in the form t*n**3 + m*n**2 + c*n + d and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqnknqqqn. Give prob of picking 1 n and 1 q.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) be the third derivative of -m**6\/120 - m**5\/6 - 5*m**4\/12 - 7*m**3\/6 + 2*m**2 + 29. Let u = 55 + -51. Suppose 27 = u*w - 7*w. Calculate s(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1531, -3, 1, 23, 2, -5 in ascending order.\nAnswer: -5, -3, 1, 2, 23, 1531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -11 - (2 + -7 + 4) - (-55 + 51).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -26495 + -3825\nAnswer: -30320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + 406 + 384 = 5*j, 0 = -3*h - 5*j - 1210. Find the common denominator of ((-5)\/(h\/924) - -3)\/(-3) and -49\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 134318.\nAnswer: 2, 239, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 122465 is divided by 8746.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) be the third derivative of -p**8\/3024 - p**7\/135 - 23*p**6\/360 - 7*p**5\/27 - 25*p**4\/54 - 3*p**2 + 11. Factor d(n).\nAnswer: -n*(n + 2)**2*(n + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12511841 to the power of 1\/2, to the nearest integer?\nAnswer: 3537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) be the first derivative of c**2\/2 - 2*c - 1. Let x = -747 - -754. What is b(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 7\/5, 3, -5, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 657365100 to the nearest one million.\nAnswer: 657000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -126, -257, -428, -639, -890?\nAnswer: -1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*x - 3*u + 2350, 1410 = 3*x - 9*u + 6*u. What are the prime factors of x?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 10\/2*(-2 + 3). Suppose -4*l + 27 - h = 3*d, -2*d + 4*l - 12 = 0. Suppose 2*b = 5*c - 23, -5*b + 4*c = -d*b + 17. Solve b = -n + 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + ((-1*sqrt(72) + sqrt(72) + sqrt(72))\/sqrt(4) - sqrt(18) - (-1*sqrt(2178) + sqrt(18)))*2 + 0)**2*1.\nAnswer: 600*sqrt(2) + 7225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 552907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 2*h**2 + 88*h - 19. Calculate i(-44).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) be the third derivative of z**6\/720 - z**5\/120 - z**4\/8 + z**2. Let b(l) be the second derivative of g(l). Calculate b(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = l**3 + 31*l**2 + 166*l + 14. Calculate the remainder when 220 is divided by c(-24).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -a**2 - 30*a + 56. Let x be y(-30). Which is bigger: x or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) be the first derivative of -b**4\/2 - b**3\/3 - 9*b**2\/2 - 6*b + 9. Is h(-3) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1028.6174925 - -1.1038075. Let b = -1030 + c. Round b to two decimal places.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.40000019 - -0.4. Round r to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) be the third derivative of -b**4\/6 - 13*b**3\/6 - 39*b**2 - 2. Let d = 0 + -5. What is the remainder when 27 is divided by i(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3.6 + 0.4. Let h = 763\/5 - 153. Sort t, h, 3 in ascending order.\nAnswer: h, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19 = 4*m + 5*q, 3*q - 14 + 4 = -m. Which is smaller: -11\/45 or m?\nAnswer: -11\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.602 plus -34?\nAnswer: -33.398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = j - 6. Let t be b(8). Solve t*o = o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 131232 divided by 16404\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*n + 2*n - 88*n + 1148. Calculate the greatest common divisor of n and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16 divided by -18?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -s**2 - 61*s - 541. Determine u(-9).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 29 + 965*c - 492*c - 476*c - 29.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 30 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -12737 * 0.1\nAnswer: -1273.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0001721759 to seven dps.\nAnswer: -0.0001722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 2*j - 10 = -2*z, 5*z - 4*j = 24. Suppose z*v - 28 = -2*s, -s - 4*v + 48 = 2*s. Calculate the least common multiple of 15 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u**5 + u**4 - 239*u**3 + 101*u**2 + 1989*u - 990 = 0 for u.\nAnswer: -11, -3, 1\/2, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is d5 + 16?\nAnswer: eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 15164 and 238?\nAnswer: 106148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 112952 and 1036738.\nAnswer: 29028664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ip when two letters picked without replacement from {k: 1, p: 3, d: 2, u: 4, i: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 109, 98, 79, -2, -199, -566, -1157, -2026?\nAnswer: -3227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 + (-16 - (-58 + 26)) - (1 + 20).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1 + 108\/(-84) + (-220)\/(-35). Let x(u) = -u**3 + 9*u**2 - 15*u + 7. What is x(j)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -274*p - 331*p + 10*p = 9520 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22589.\nAnswer: 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -232*s + 43846. What is n(190)?\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify k*k\/((k*k**(-17))\/k)*k*k*k\/((k*k**34*k)\/k)*k*k assuming k is positive.\nAnswer: k**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2 + -3 - (0 - 0). Let m(d) = 2*d**2 - 2*d - 1. Let q be m(k). Solve -4*p - 11 = 3*i, -i - 8 - 4 = q*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*p = -11 - 17. What is the third derivative of 65*u - 20*u + p*u**3 + 3*u**4 - 22*u + 2*u**2 wrt u?\nAnswer: 72*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (25*w - 7*w - 9*w)*(-7*w + 0*w - w) + 3*w**2 - 2*w**2 + w**2.\nAnswer: -70*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-13 + 13)*(2 - 1). Solve v = -b - 1, 2*z + 3*b = 6*z - 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/(a\/(a\/(a*a\/(a*a**(-2))))))**(-28))**(-27)*(a*a**(2\/9)*a*a*a\/(a\/a**(3\/2))*a*a)\/(a\/a**(-7)*a\/a**(1\/6)) assuming a is positive.\nAnswer: a**(-13627\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j = 4*j - 1. Let w be 14\/8 + j\/(-4). Let q(g) = -g + 8. Let l be q(6). Solve 2*t - w = l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (200\/(-500))\/((-26)\/5)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from odzoazzaaolaada. What is prob of sequence lzz?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*t**3 + 1029*t**2 - 10728*t - 706860.\nAnswer: -3*(t - 330)*(t - 34)*(t + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = 5*f - 12. Suppose 34*p**f + 4*p**5 + 16*p**2 + 5*p + 16*p**4 - 10*p**3 - p = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24 + 22 + 19*i**2 - 3*i + 3*i.\nAnswer: 19*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g be 27\/(-42) - (-1)\/2. Let f be (-399)\/76*2\/7. Which is the third biggest value? (a) g (b) 42 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6.9 + -55.9. Let n = h + 49.23. Round n to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 36650863.\nAnswer: 5077, 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*a**2 + 0*a**2 + 2*a**2)*(3 - 12 + 2)*(2*a + 0*a - 10*a) in the form z*a**3 + l + h*a**2 + x*a and give z.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/3? (a) -8711 (b) -2 (c) -1\/5 (d) 2 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nggnu. What is prob of picking 1 u and 1 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/p**(-1\/6)*p)\/p)\/p**(-1\/20) assuming p is positive.\nAnswer: p**(73\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: ((-1568)\/(-24)*1*(-2)\/(-8))\/((-2)\/6)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2 + 1. Let k be 1379\/(-147) + 11 + 4\/(-14). Let z = -4 - -3. Which is the nearest to y? (a) -5 (b) k (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -435\/11 + 8051\/220. Let j = -1057 + 12649\/12. Find the common denominator of o and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -897604381*g**3 + 1345328*g - 71.\nAnswer: -5385626286*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) -22 (b) -0.1 (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -3*z**2 + z + 3. Calculate m(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 95.2754 decades to months.\nAnswer: 11433.048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 24877 is divided by 607.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0, -3, 29\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -13886439 divided by -3\nAnswer: 4628813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v = b + 1 - 7, 3*b = -v + 3. Suppose 2*w + w + 6 = b. What is the units digit of w + (-2 - 1)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4444390 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 n = 34 + -34. What is the closest to 0 in -0.5, n, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3957 - 5807. Let i = 4584 + t. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2 + -4)\/((-2)\/17). Suppose -5*p - 25 = 0, i = 3*x - 5*p - 17. Suppose x*r - 112 = 62. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -161*v + 1295. Give c(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*g - g - 2*g)*(-2*g + 3*g - 15*g)*(-2 + 4 - 1).\nAnswer: 42*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 21940, 43987, 66034, 88081?\n\"Answer: 22047*z - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1.0995 + 4.89946. Let c = -6 + t. What is c rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (14*h + 23 - 23)*(1 - 3 + 1).\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 26 in -5, -1, -4, 4, 1\/69?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 85\/10816 and -41\/1323608.\nAnswer: 10588864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i**2 - 28*i + 25. Let h be c(27). Let p be h\/(2*(-9)\/(-60)*-2). Suppose 2\/3*f**3 + 8\/3 + p*f**2 + 16\/3*f = 0. What is f?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.3 and 0.593941?\nAnswer: -0.1781823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 381671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = f**3 - 11*f**2 + 27*f - 11. Give d(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-132)\/(-4))\/(1107\/246))\/(-5 + (1 - -1)).\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (528\/220)\/((-6)\/(-50)). Suppose -k + 0*k - 2*p - 4 = 0, p + 2 = 4*k. Let b be k\/(4\/(-6)*-3). Solve -4*q = -b*q - a for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 8 (b) 0.5 (c) -5 (d) 39 (e) 0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 5*n = 24 + 24, 144 = 3*s + 3*n. Suppose -21*v + 5*v - s = 0. Put v, 0, 4 in increasing order.\nAnswer: v, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be -4 - 192\/(-56) - (-474)\/21. Suppose 2*y + 5*j - 6*j + h = 0, 4*j - 43 = 3*y. Let q(u) = -u - 5. What is q(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 90 less than -106258661506?\nAnswer: -106258661596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 416 minutes after 9:38 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = -19 - -35. Let b(m) be the first derivative of q*m**2 + 343\/3*m**6 - 352\/3*m**3 + 0*m - 392*m**5 - 3 + 336*m**4. Factor b(i).\nAnswer: 2*i*(i - 2)*(7*i - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1832175 and 153.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qwwgowogfwg. What is prob of sequence qo?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (143 + 569 + 757)*((2*y + 0*y + 0*y)*(-1 + 4 - 5) + 0 + 0 - y).\nAnswer: -7345*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -42 minus 0.048?\nAnswer: -42.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1774073 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*f + 4*b - 13, -5*f - 7838*b = -7840*b - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/(g*g**28))\/g*g*(g**(6\/11)*g)\/g*(g**(-6)*g)\/(g**(1\/24)\/g))**28 assuming g is positive.\nAnswer: g**(-58205\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -180*x**2 - 16*x**3 + 180*x**2 - 16*x**3 + (4*x - 4*x + 4*x**2)*(0 + 0 + 2*x) to the form w*x + p*x**3 + h*x**2 + q and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 230 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 60 and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.35 - -0.15. Suppose 0 = m + 4*p - 21, -3*m + 11 - 3 = p. What is the nearest to m in -1\/7, 1\/7, a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25352?\nAnswer: 2, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q = 77 + -90. Let o = -9 - q. Which is the biggest value? (a) -2 (b) o (c) 2\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 2*t**3 - 140*t**2 - 603*t + 321. What is r(74)?\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8*99093.\nAnswer: 792744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 386690 and 645.\nAnswer: 49883010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 308118 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 1713320 divided by 56\nAnswer: 30595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -2.94375 times 3.5\nAnswer: -10.303125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1411 + -1406. What is the closest to -2\/29 in -3, -1\/11, f?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 80091, 80115, 80185, 80325, 80559, 80911, 81405, 82065?\nAnswer: 82915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 266 + 212091?\nAnswer: 212357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3 + sqrt(153) + (sqrt(68)\/sqrt(4) - sqrt(17))*6 - (-1 + 6*(sqrt(17) + sqrt(17) + -3)))**2 + -1)*4.\nAnswer: -1152*sqrt(17) + 6528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 121 - 87. Suppose s + 0*s = 4*i - 85, 0 = i + 4*s - b. Suppose y - i = -3*l + 160, 5*l = y + 290. List the prime factors of l.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 6, 13, 10, -9, -50, -119?\n\"Answer: -y**3 + y**2 + 11*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -987407 and -0.3?\nAnswer: 296222.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 326 a factor of 25572744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = r**3 - 4*r**2 + 2*r - 3. Let o be ((-14)\/(-105)*-3)\/(2\/(-240)). Let k = -48 + o. Suppose k*y - 2*y + 6 = 0. What is i(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -1463 and -1859.5?\nAnswer: 396.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -x - 3*s = 8, -291 + 275 = 3*x + s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in seven halves of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.1 and -0.3289.\nAnswer: 0.03289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ccso when four letters picked without replacement from sosoocccssdcsocccocc.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 26 = -7*w - 2*a, 4*a + 28 = -4*w. What is the closest to 1\/3 in -5\/3, w, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.2 - -0.1. Let d = -1.1 - c. Let g = -95 - -1047\/11. What is the nearest to 1 in -4, d, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 57 + -21. Let p = q + -25.1. Let g = p + 0.1. Which is the second smallest value? (a) 2\/5 (b) -0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -258864698 times 3?\nAnswer: -776594094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1700 and 1339906?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n**4\/11 + 104*n**3\/11 + 1442*n**2\/11 + 2196*n\/11 - 3744\/11 = 0. What is n?\nAnswer: -26, -24, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -131\/5720 and -97\/16?\nAnswer: 11440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1022 - 11112100201?\nAnswer: -11112102000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = 79 + -77. Suppose y*x = 4, 4*l + 5*x - 70 = 2*x. Suppose 12*d - l*d = -656. List the prime factors of d.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 6 + -14.42098\nAnswer: -8.42098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0070698 litres in millilitres?\nAnswer: 7.0698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -52*b - 666 + 562 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 73587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 3045 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 0.7, -9672, -0.5 in increasing order.\nAnswer: -9672, -0.5, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*g = 3*u + u - 20, 2*u = -g + 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -93*y**2 - 64*y - 2. Let w(x) = -2*x**2 - 2*x. Let i(h) = d(h) - 3*w(h). What is the second derivative of i(b) wrt b?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 35 divide 7221422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - (-5 + (-366)\/(-48)) - -5.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*u**2 - 41685*u + 8395*u + 10822*u + 2*u**2 + 14957*u)*(-2*u**2 + 2*u**2 - 2*u**3).\nAnswer: 4*u**5 + 15022*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 8*m**2 - 22*m**2 + 10*m**2. Let u(s) = 3*s. What is v(u(z))?\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -121 or 121.489?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g = -0*g - 10. Let z be (-1)\/(-2 + 1) + g. Solve -z*n + 8 = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -187*x**2. Let s(a) = a**2. What is s(u(g))?\nAnswer: 34969*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 317, 765, 1469, 2555, 4149, 6377, 9365?\nAnswer: 13239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = y**3 + 11*y**2 + 11*y + 11. Let w be d(-10). What is the units digit of 9\/(6\/4*w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 5226\/27 - -10*(-8)\/(-540)*3. Calculate the greatest common factor of s and 5820.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 times 0.2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:15 AM and 8:25 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 836.623389 less than 0.01574?\nAnswer: -836.607649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n be -13*5*(-16)\/(-5). Let u be 6\/n + (-7)\/56. Let f be (-4)\/(-10) - 48\/95. Put 2\/5, u, f in decreasing order.\nAnswer: 2\/5, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = t**2 + 3675*t + 206166. What is z(-57)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 1.697 * 4\nAnswer: 6.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 155 divided by 2439?\nAnswer: 155\/2439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k be -1 + (-1 - 1) + 1. Let q = -2 - k. Find the third derivative of o**2 - 4*o**3 + 5*o**3 + q*o**2 wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3*((-1)\/(6\/(-304)) - 0). What is the greatest common factor of u and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 5, w: 2, e: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -17*j + 258. Let s be 13*(-3)\/6 - 1\/2. Is m(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 97 - 54. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -737*v**2 + 4310.\nAnswer: -1474*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is three eighths of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x - 15 = 0, 2*x - 756 - 485 = -3*i. Solve -73*n = -21 - i for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*p + 22 = 14*r, -10*r = 5*p - 11*r + 28 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*b + 4*i = -1337, 9*b - 5*b - 5*i - 745 = 0. Solve -m - 3*u + b = 183, 0 = -5*u + 25 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/(-3*4*5))\/((-7)\/(4592\/205)).\nAnswer: 4\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*((t\/t**10)\/t)\/t)\/(t*t\/(t*t**(2\/15))) assuming t is positive.\nAnswer: t**(-163\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(60)\/(sqrt(10)\/sqrt(2)))\/(-4*sqrt(726)).\nAnswer: -sqrt(2)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wzs when three letters picked without replacement from zwsszsoswz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = -144 - -155.6. Is t less than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*b - 4 = 5, -b = -3*q + 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 584371613.\nAnswer: 7, 2351, 35509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -2*0.039\nAnswer: -0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 5326 + 5?\nAnswer: 532b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand p**4 - 2*p**3 + 2*p**3 + (-1 + 1 - 2*p - 4*p**3)*(p + 0 + 0) - 23*p + 6*p**4 + 23*p.\nAnswer: 3*p**4 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: ((-20)\/(-45))\/(34\/119*77)\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (810\/(-29700)*-385)\/((-6)\/2)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.5219307 days to milliseconds.\nAnswer: 45094812.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -45736961\/4 or -11434240?\nAnswer: -45736961\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 26\/7, -1, 2, 3\/7, -3, 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 + 5 + 8 + 7 + 309*k.\nAnswer: 309*k + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) be the second derivative of 3*z**4\/2 + z**3\/3 - 5*z**2\/2 + 36*z. What is the tens digit of d(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20485799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1)\/498*(-8)\/198. Let c = m - -244265\/49302. Let b = -3196 + 44851\/14. Calculate the common denominator of c and b.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3032682um in nanometers?\nAnswer: 303.2682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -48 + 44. Which is the nearest to 0.3? (a) r (b) -0.3 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6556?\nAnswer: 2, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1 less than 1\/98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = 39.9 + -38. Let s = 1.8 - j. Let z be 4 - (4 - (-5)\/(535\/(-2))). What is the third smallest value in s, z, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.167 + 210.167. Let g = 210.035 - o. What is the second biggest value in -0.3, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -1 + 4 + 2 - 106*b. Let f be (-11)\/2 + (-16)\/32. Is n(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.188 and -4.\nAnswer: -0.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 24 and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 s and 1 f when four letters picked without replacement from aasassffaffaa.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (j + 0*j + 5*j)*(-j + 4 - 4) - 2*j**2 - 2*j**2 + j**2 - 5*j**2.\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2914 divided by 2.\nAnswer: 1457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1 - -20. Is 1826\/3*a\/14*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/8*(-12)\/((-120)\/55)*16?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3309 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yalwllsslsla. Give prob of sequence lay.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1177217960?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out -1 * -50.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 284 and 928964?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 8\/11 at most -78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.4 (b) 0.2 (c) 4\/11 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 3*p = -957, 2*q + 0*p = -3*p + 387. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -3*f**2 - 20*f - 28. Let d(o) = o**2 + 10*o + 14. Let l(m) = -5*d(m) - 2*t(m). Suppose 4*q + 16*g = 140, -40 = 4*q - 4*g - 60. Give l(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1 + 50\/35)\/(-1). Sort 3\/5, 4, 1, o in descending order.\nAnswer: 4, 1, 3\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 66925 and 217725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 151\/22116 and -29\/152?\nAnswer: 44232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 3*w - 1. Suppose -g + w*g = -14. Let c = g - -18. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -322144 (base 5) to base 11.\nAnswer: -8231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 21820327?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -p**3 - p**2 - 7*p + 2342. What is the thousands digit of r(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*d - 2 - 6. Suppose 60 = -d*t + 6*t + 2*o, 3*o = t - 38. Suppose 0 = -5*j - 0*j + 35. What is the remainder when t is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 0\/(-3*(-1)\/(-3)). Let l(f) be the first derivative of n*f + 2*f**2 - 4 + 2\/3*f**3. Determine k so that l(k) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1340817, -1340805, -1340781, -1340745, -1340697, -1340637?\nAnswer: -1340565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or -3\/20918?\nAnswer: -3\/20918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from euekjkuukkkeek. What is prob of sequence ukj?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -86621\/12 greater than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 27036072, 27036073, 27036074, 27036075?\nAnswer: 27036076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -584, -583, -582, -581, -580, -579?\nAnswer: -578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) be the second derivative of 0 + 0*b**2 + 18*b - 1\/20*b**5 + 0*b**4 + 0*b**3. What is l(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -1, 14385338 in decreasing order.\nAnswer: 14385338, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 12 + -0.0418\nAnswer: 11.9582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1495451543 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 11937, 12005, 12123, 12291, 12509, 12777?\n\"Answer: 25*x**2 - 7*x + 11919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 3 - n - 2*n + 9*n. Let b(v) = -v - 3 - 4 + 6. Let m(g) = -4*b(g) - i(g). Differentiate m(r) with respect to r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -k**3 + 134*k**2 + 2741*k - 838. Give c(152).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2, -10, -32, -64, -106?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -1 equal to 85\/27189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - 5*x = -13, -2*p - 3*p = -3*x + 1. Let t(s) = 1261*s + 1047*s - 2309*s. Let w(i) = -5*i + 1. Determine p*w(g) - 2*t(g).\nAnswer: -3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -144*x**5 + 2*x**3 - 199*x**2?\nAnswer: -8640*x**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 12 = -o. Let i = -1 + o. Factor -s**i - s**5 + 2*s**2 + 3*s**5 + s - s**4 - 2*s**3 - 1.\nAnswer: (s - 1)**3*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4*s**2 + 0*s**2 + 3*s + 9*s**2 wrt s.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 divided by 231926?\nAnswer: -1\/115963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -3 - 321223?\nAnswer: -321226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2597, 2592, 2585, 2576, 2565, 2552, 2537?\nAnswer: 2520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 2*r - 3. Let z(u) = u**3 + 41*u**2 + 39*u - 42. Let x be z(-40). Let k be (-51)\/(-34)*x\/(-12)*8. What is p(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 6\/15*(-35)\/(-7). Let q = 13 - 6. Suppose -k = u - 5, 0 = k + 3*u - q*u + 10. Solve -k*x - t*p - 2 = 0, 13 - 5 = -2*x + p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2761.5 or -445?\nAnswer: -445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -k + 5. Calculate s(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 0.2*0.3819\nAnswer: 0.07638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1319551?\nAnswer: 227, 5813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -76776 or -212?\nAnswer: -212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4713 - -33501. What is the ten thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 285103?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 17*a**3 - 16*a**2 - 6178*a + 8. Let t(c) = -6*c**3 + 6*c**2 + 2060*c - 3. What is 3*r(n) + 8*t(n)?\nAnswer: 3*n**3 - 2054*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 109*q = 18*q + 395486. List the prime factors of q.\nAnswer: 2, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p, 1 l, 1 a, and 1 b when four letters picked without replacement from {p: 1, b: 1, a: 1, t: 1, f: 2, l: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c = -370238 + 120338. Round c to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 1 q when two letters picked without replacement from {e: 2, q: 1, b: 1, v: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = -109 + 109. Suppose -4*q = -8 - 0. Suppose -j + 0*j = -q. Solve j*d - 10 = -u*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4*g + 2*g**2 - 23*g - 5*g**2 - 6*g**2 wrt g?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 220338 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 4809, 4818, 4839, 4878, 4941, 5034, 5163?\n\"Answer: j**3 + 2*j + 4806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ddg when three letters picked without replacement from {o: 4, d: 2, g: 4}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1002 - 659. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -2*(-3)\/12*-2. Let s = -14 - -26. Let x be r + 1*s - 1. Calculate the greatest common divisor of 40 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11816*d - 58 + 2*d**2 + 11816*d + 10.\nAnswer: 2*d**2 - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (1 - -2) + -1 + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-834)\/44*4\/(-60). Let u = -13270\/11 + 1205. Let w = t + u. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 3, u: 7}. Give prob of picking 2 j and 1 u.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2 + -210011200102?\nAnswer: -210011200111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -466*j - 226. What is the thousands digit of y(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 3*l + 3*l + 16*l**2 + 0*l**2 + 0*l.\nAnswer: 16*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2573?\nAnswer: 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -98? (a) 0.3 (b) 0.2 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 101*k = -25*k - 65*k - 1337 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) be the first derivative of 2*x**3 - 11*x**2\/2 + 4*x - 9. Let r(m) = 3*m**2 - 6*m + 2. Give 6*j(n) - 11*r(n).\nAnswer: 3*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 101 = 27*s - 29*s - d, 0*s = 8*s - 2*d + 532 - 134 for s.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4 + -2. Suppose 0 = -2*m + r*s, -4*s + 8 = -0*m - 2*m. Suppose 5*b + 12 = u, b = -5*u + m + 30. What is the greatest common factor of u and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1 - -3. Is (q\/10)\/(3\/465) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 33 minutes after 1:30 PM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -6*u**2. Let w(o) = 2*o - 1. Let m(d) = -2*d + 2. Let a(p) = -2*m(p) - 4*w(p). Calculate a(s(f)).\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 388044, 391307, 396746, 404361, 414152, 426119, 440262?\nAnswer: 456581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18347847?\nAnswer: 3, 7, 873707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29 = 3*m - 37. Let z = m - 10. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 188511441 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 314297964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 28019143*c*p + c + 4*p - 3811158 wrt p.\nAnswer: 28019143*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9116 is divided by 294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 15961.22782 to the nearest one hundred.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in 3\/4, 1, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 12*a**2 - 2*a + 3. Is o(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 8592608 and 1104.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 3*f = -20, 4*i - 7*i - 15 = -f. Let x(c) = 2*c**2 + 6*c - 6. Give x(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -286*p - 3182. Give x(-9).\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*x - 2*h - 14, -2*x = 5*h - h - 8. Let q = 6336 - 6331. Solve -q*r = 2*c - 6, 3*r + 3 + x = 3*c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -19 - -11. Let o be (n\/6)\/(5\/(-15)). Solve -q - 6 = -3*r - 0*r, 2*r - 3*q = o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 2328 = -2*z - 608, -2202 = -3*h + 3*z. List the prime factors of h.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 11\/2186484 and -71\/1356?\nAnswer: 247072692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Work out -2060.6 - 10.5.\nAnswer: -2071.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -0.5 (c) -249\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u be 28\/(-6) + 6\/9. Let j(r) be the third derivative of r**4\/6 + r**3\/3 + 52*r**2 - 3*r + 8. Determine j(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 48012270?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -m. Let f(a) = -a**2 + a + 3. Let x be f(2). Let c be -1*(1 + -1 - 2). Let i(w) = -x + w**c + 1. Give i(j(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -19, -2\/23, -78?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = p - 3, 5*p + 13 = 2*a + 24. Put 3, 1, -4, 4, a in decreasing order.\nAnswer: 4, 3, a, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 111 and 8658?\nAnswer: 8658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 m and 2 p when four letters picked without replacement from mpmpmmmmmmmpmpmmmmmp.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 16 = 2*j - 14, -4*l = j - 21. Suppose j*y = -5, 6*y + 14 = 2*p + 4*y. Solve 18\/7*b**3 - 54\/7*b**4 + p*b**2 - 26\/7*b + 4\/7 = 0.\nAnswer: -1, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 10.30726 to 2 decimal places.\nAnswer: 10.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = p**3 + 14*p**2 + 16*p + 78. Let g be h(-13). Solve -z + g = -14*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -244, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4? (a) -2\/19 (b) -2\/7 (c) 4060 (d) -0.3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 13644a1 + -2?\nAnswer: 136449f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 150 = -255. Let q be ((-248)\/217)\/(2\/u). Let p(o) = o**3 + 3*o**2 + 3*o + 3. Let n(d) = -4*d**3 - 10*d**2 - 10*d - 10. What is q*p(i) + 6*n(i)?\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ssttasaasat.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 4834475411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) be the first derivative of -k**2\/2 - k - 8987. Let s(p) = 9*p + 8. Determine -6*d(q) - s(q).\nAnswer: -3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = k**3 + 8*k**2 - 7*k + 12. Determine t(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*u = -8*u - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.04 (b) 3 (c) -0.3 (d) -41 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 202889?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1137*t**3 - 22*t + 22*t + 1 - 4.\nAnswer: 1137*t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 + (-45 - -36 - (2 - 4)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o = -2*v - 72, 0*v - 2*v = -3*o + 54. What is the greatest common divisor of o and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 378 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-752777982)\/117 - (5\/(-26))\/(45\/(-36)). What is y rounded to the nearest one hundred thousand?\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -j - 25. Let w be u(-19). Let z = 16 + w. Let n(y) = 8 + 5*y + 6 - z. Let b(h) = -6*h - 5. What is -4*b(l) - 5*n(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 75*c + 15 - 18*c - 42 to g*c + d and give g.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42*h**4 - 25253*h**3 + 132121*h**2\/3 + 38596*h\/3 + 804 = 0. What is h?\nAnswer: -603, -1\/6, -2\/21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 11894158087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3140.\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 48 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide 1242906 by -88779.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12222200022 + 1010?\nAnswer: 12222201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 112867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 2\/7, 116, 596, -5, 0.3, -1 in descending order.\nAnswer: 596, 116, 1, 0.3, 2\/7, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(60) - -2*sqrt(240))\/sqrt(12).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -26, -47, -110, -209, -338, -491, -662?\n\"Answer: y**3 - 27*y**2 + 53*y - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 405483 and 962?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 0 = -2*f - 27, -20 = -5*f. Suppose 16 + 40 = -c*s. Let l(p) = p**2 + 6*p - 8. Let r be l(s). Calculate the highest common divisor of 40 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = -5*q + 58, -2*q + 53 = 2*q - 5*x. Let o(u) = 65*u - 229. Is o(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q - 3*q = -60. Suppose q = 2*a - 28. Suppose -2*f = -a - 0. What is the remainder when 46 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 2. Let j(n) = -5 - 3 + 9 + n + 0. Give -f(p) + 2*j(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.155985 + -103.985015. Let k = -2179 + 2075. Let z = g - k. What is z rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 882000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 2669895 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + (8 - (-2 + 2)) + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -9*r. Let y = 2 - 2. Let n(i) = y*i**2 + 0*i**2 + i**2. Calculate n(k(g)).\nAnswer: 81*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2 + 2. Suppose -w + r - 4*r - 18 = g, -4*r - 11 = -3*w. Let x = 1 - w. Put -1, 0, x in descending order.\nAnswer: x, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, 1\/5, 123, -1\/486 in decreasing order.\nAnswer: 123, 1\/5, -1\/486, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 1, m: 5, v: 2, j: 5, i: 3}. What is prob of sequence kvi?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 184830645?\nAnswer: 3, 5, 23, 535741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 248767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (29\/(-3))\/(167\/4008*-40)\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((42\/21)\/(10\/4))\/(-2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 2\/24205131?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:17 AM and 8:09 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = 784 - 772. Let w = 94 + 48. Suppose 2*j + z*j = -4*c + w, -5*c + j + 163 = 0. What is the highest common factor of c and 264?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -9*u**2 + 11. Let q(d) be the first derivative of -2*d**3\/3 + 2*d + 16. Let f be ((-561)\/(-204))\/((0 - -2)\/(-8)). Determine f*q(h) + 2*i(h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 385 minutes after 8:28 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -0.264 times 0.4?\nAnswer: -0.1056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -5*j. Let k(n) be the second derivative of n**4\/12 + 6*n. What is y(k(z))?\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -0.124 less than or equal to -228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -0.19756703 - -0.296\nAnswer: 0.09843297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 197275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.03 + 0.43. Let c = 3430\/13 + -264. Suppose 3*t = 5*d + 27, -12 - 7 = 5*d - t. What is the third biggest value in l, d, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) be the third derivative of -19*z**4\/24 + 16*z**2 + 5. Let y(m) = 4*m**2. Determine c(y(w)).\nAnswer: -76*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*x**2 - 8*x**2 + 10*x**2)*((-4 + 4 + 2*x)*(3*x + x - 3*x) + 0*x - 4*x**2 + 0*x).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -7*u**2 + 102*u - 44. Let r be c(16). Let f be (1 - (1 + 2)) + 8. Is 17 a factor of (-2*3\/f)\/(4\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 26 + -7 - (-249 + 296)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 617 divide 75006659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 119\/6200 and 11\/94494200?\nAnswer: 94494200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 128 is divided by 70.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4527 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 63070*m**2*o**3 - 21*m**2*o**2 + 2*m**2 + 50*m*o**3 - 2*m + o + 33 wrt o?\nAnswer: 378420*m**2 + 300*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 18453453789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by 58.\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1816 and 2497?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1124016 and 4656?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*i = -4*i + 83980000. What is i rounded to the nearest 100000?\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2353 + -2353.003645. What is c rounded to 5 dps?\nAnswer: -0.00365","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1417757?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -d936a + 56?\nAnswer: -d9314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*h + 107 = -153. Let b(u) = u**2 - 7*u - 5. Determine b(h).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (j**3 - 4*j**3 + j**3)*(-7*j**2 + j - j) - 4*j**5 + 6*j**5 - 4*j**5 + (0*j**2 + 0*j**2 + 6*j**4)*(-j - j + 4*j) + 2*j**5 + 28*j**5 - 6*j**5.\nAnswer: 48*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 56 = -206. Let q = 195 - 125. What is the highest common divisor of a and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -g**2 + 88*g + 370. Let y be c(-4). Let z be 0 + 0 + (9 - -1). Is -2 + (7 - y) + z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000000248943 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*sqrt(88))\/(-3*sqrt(18)).\nAnswer: -8*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 7 divided by 5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 94790, 45, 4.\nAnswer: 4, 45, 94790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 3.6022 to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + (-10 - -7 - 10) - 11?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1583080519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 - 7515*q**2 + 7545*q**2 - 3.\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nkzjzjjkwzzkkk. Give prob of sequence wj.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x = 51 - 51. Suppose -11*f + f + 80 = x. Let h(m) = m**2 + 3*m - 4. What is the remainder when h(-6) is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 54, -5, -40, -772, 0 in ascending order.\nAnswer: -772, -40, -5, 0, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -46949*a*j**2 + 736*j**2 + 1 wrt a?\nAnswer: -46949*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5 - ((-4 - -20) + -19 + 4)) + 22.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:48 PM and 11:00 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 2*d**3 - 3*d**2 + 3*d. Let p be w(2). Suppose 3*x - p = 2. Solve u + 0*u = -x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -t**3 + 5*t**2 - 4*t - 5. Let p be f(4). Let q be (-1)\/(-4)*(-1180)\/2065. What is the nearest to -5 in p, q, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -10301423, -10301421, -10301419, -10301417, -10301415?\nAnswer: -10301413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = g**3 - 6*g**2 + 6*g - 3. Let o(w) = 19 + 10 - 4 + 2*w**2 + 13*w. Let h be o(-4). Determine x(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in one fifth of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 15\/1*39\/117?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 201 - 69 = 0. Suppose 2*g + 2*g - i = -5*o, 4*o - g = 39. Solve 0*p + o = -2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 55906.\nAnswer: 2, 27953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 1797.224 to the nearest ten.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -88, -295, -111 in increasing order.\nAnswer: -295, -111, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 83 = 4*w + 31, 5*f = 4*w + 212. Suppose f = 7*c + 9. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 308 and 158389?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 705471, 2821895, 6349265, 11287587, 17636867?\n\"Answer: d**3 + 705467*d**2 + 16*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 t when two letters picked without replacement from ottttbrvbtb.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = k**2 - 5*k - 1. Suppose 0 = -w - 3*w + 24. Let m be f(w). Suppose -4*v + 61 = -99. Calculate the highest common divisor of m and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 277798?\nAnswer: 2, 138899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = -12 - -57. Let d(h) = -h + 6. Let v be d(-9). Calculate the greatest common factor of v and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + sqrt(1100) + sqrt(1100) + 2*sqrt(1100) + 4 - -2*6*(sqrt(1100) + 0).\nAnswer: 8 + 160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -137649, -137631, -137599, -137547, -137469?\n\"Answer: m**3 + m**2 + 8*m - 137659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 625, 1249, 1873, 2497, 3121?\n\"Answer: 624*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:36 AM and 1:40 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w**3 - 10350*w**2 - 103350*w - 258250 = 0.\nAnswer: -5165, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-11)\/21 + 56\/(-168) + (-68)\/(-14). Let m(r) = 2*r - 15. Let b(f) = 2*f - 15. Give u*m(l) - 5*b(l).\nAnswer: -2*l + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 12076*c - 672 = 11992*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 divided by 2277.\nAnswer: 4\/2277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -4*j**3 + 8*j**2 - 11*j + 6. Let v be y(-11). Let z = v + -3899. What is z rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15912 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(30)\/(-3*sqrt(10))*-4.\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2128 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*h + 3*h - 5*h)*(32*h + 25*h - 55*h - 2).\nAnswer: 6*h**2 - 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 37754134 divided by 74\nAnswer: 510191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is b63 (base 13) in base 5?\nAnswer: 30230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 12 and 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/(l**37\/l))\/(l\/l**(4\/5))*l**(-13)\/l*(l*l\/(l\/(l**(8\/17)*l)))\/l assuming l is positive.\nAnswer: l**(-4057\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = 24566 - 24560. Which is the fourth smallest value? (a) u (b) 0.04 (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by 1465\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 5461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*k**2*q - 935416*k**2 + 35*k*q - 199*k - 22*q wrt k.\nAnswer: 6*q - 1870832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -26*r + 166 + 268 - 1942 = 0 for r.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 156542\/32615 - -2\/6523. Let f = 25 - 21. Factor -o*k + 72\/5 + 4\/5*k**3 - 22\/5*k**2 + 2\/5*k**f.\nAnswer: 2*(k - 2)**2*(k + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2\/7*p**3 + 0 - 188\/7*p**2 + 368\/7*p.\nAnswer: 2*p*(p - 92)*(p - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 112*m - 107*m = -875. Let h = m + 316. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.774 + 1.353. Let k = i + -0.379. Put -0.09, 0.3, -1, k in ascending order.\nAnswer: -1, -0.09, k, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) be the first derivative of l**6\/6 + 6*l**5\/5 + 7*l**4\/2 + 16*l**3\/3 + 9*l**2\/2 + 2*l + 13. Factor d(h).\nAnswer: (h + 1)**4*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -2*h. Let i(b) = 8*b - 4. Suppose 3 = 2*j - 1. Let v be j + (-1)\/(-4) + (-21)\/84. Let l(f) = -7*f + 3. Let u(s) = v*i(s) + 3*l(s). What is p(u(d))?\nAnswer: 10*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 356*a - 353*a = 0. Solve a = -3*o - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -o**2 - 6*o - 5. Suppose 3*k - 4 = 4*k. Let n be t(k). Let w be -6 + n - 2\/(-1). Which is bigger: 2 or w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -83, -258, -565, -1016, -1623, -2398?\n\"Answer: -2*f**3 - 54*f**2 + f - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 10 = -4*r, 0 = 5*r - 4*m - 0*m - 14. Suppose -2*w - 118 = -2*g + r*w, -g + 49 = -4*w. Does 19 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -266 + 2?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 65465 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Multiply 14 and 0.3595.\nAnswer: 5.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 19 divided by -15?\nAnswer: -19\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -297367289*k**3 + 4506*k + 7811 wrt k?\nAnswer: -1784203734*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yyyyyoyyooyy. Give prob of sequence yooy.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 411 + 306?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x be (48\/(-4))\/4 + -9. Let j be 9\/((-16)\/x - 21\/9). Let p(k) = -k**2 - 12*k - 9. What is p(j)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -102 and 0.4.\nAnswer: -40.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2.134 - 1283148.7.\nAnswer: -1283150.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = 75*u + 23*u + 109*u - 83*u + 132*u. Let o(b) = b**2. What is x(o(l))?\nAnswer: 256*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 2 times 4.415?\nAnswer: 8.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 605 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.05 and -667.\nAnswer: 33.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 163*i**4 - 37*i - 5913 with respect to i.\nAnswer: 652*i**3 - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -6156221.362 to the nearest 100.\nAnswer: -6156200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -28*t + 42 + 70. Which is the biggest value? (a) 0.5 (b) 3 (c) t (d) 2\/3 (e) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 127\/6180 and 137\/25872?\nAnswer: 13324080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 - -4 - 0) + 3 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16797 = 8*l - 16765. Suppose 4*j + 2*n + 3*n + 8 = 0, 3*n = -4*j. Let a = j + 0. Put a, l, 2 in descending order.\nAnswer: a, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 80.13111 nanograms to milligrams.\nAnswer: 0.00008013111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -133970 rounded to the nearest 1000?\nAnswer: -134000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 296*k = 4250 + 3446 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*g = g + 60. Suppose -3*q + 15 = 2*q. Suppose -q*d = 5*o + g - 32, -o = -d - 4. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-35)\/21*12\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/130*2020\/1212?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 125942897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Product of -3496 and 124084.\nAnswer: -433797664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -109\/140 and -67\/3136.\nAnswer: 15680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) be the first derivative of 5\/24*t**4 + 0*t**3 - 5\/3*t - 5\/4*t**2 + 35. Factor u(d).\nAnswer: 5*(d - 2)*(d + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -20811 + 20816. Solve y*u - 2*s + 2 = 0, 32*s + 4 = 36*s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -428.9582 + -0.0418. Let o = 428.999999268 + l. What is o rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 55 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a*a**5*(a**1\/a)\/a*a**3*a**1)\/((a**1)**(-42)*(a\/a**1)\/(a*a**(-8))) assuming a is positive.\nAnswer: a**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 14*s + 1. List the prime factors of d(6).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 16359, 13992, 10039, 4494, -2649, -11396?\n\"Answer: -a**3 - 787*a**2 + a + 17146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 2*o**2. Let j(z) be the second derivative of z**4\/3 + 8*z. What is j(l(g))?\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is (-4 - 1) + 1733*14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = -3*j + 8. Let k be j\/(-28) + (-123)\/21. Let g(p) = -p. Let z(u) = 13*u - 16. Let l(m) = k*g(m) + z(m). Differentiate l(c) with respect to c.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 0.5, -8, -0.2, 7\/5, 11, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Product of -23.2 and -0.098407.\nAnswer: 2.2830424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 207 divide 32270631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 351716.\nAnswer: 2, 23, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 16, 1\/2, -0.104, 4\/921?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 2.31567 at most 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 105 + (105 - 107) + 0 + (-1 - 2) + 0?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Add together 461814.4 and 964.\nAnswer: 462778.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x - 9 = -129. Suppose 43 = o - x. Suppose u + 0*u - o = -5*f, -4*u - 4*f = -188. Is u a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -80678 divided by 57\nAnswer: -80678\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be (20 - ((-15)\/(-3) - 2)) + -1. Let i = j + -35. Let x = i - -24. Solve x = -5*k - 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 0.54, 30, -0.3, 10, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 52 = 2*z, b + b - 5*z = 15. Let k be ((-9 - -8) + 14\/b)*170. Let d(h) = 3*h - 68 + k. Let l(m) = -12*m**2. What is l(d(s))?\nAnswer: -108*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 2468774 (base 12) to base 10.\nAnswer: 7106632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 10*z**2 - 27*z + 93. What is the hundreds digit of c(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2 + (-2 + 1)*1. Let i(p) = -4*p + 65. Let x be i(9). Let d(u) = -2*u + 58. Let h be d(x). Which is the nearest to h? (a) 0.2 (b) o (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -g - 135 + 390. Does 51 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y = -y - 64 + 160. Calculate the highest common factor of y and 2436.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 4*m + 1. Let l be d(-1). What is the remainder when 27 is divided by (11 - 3)\/2 - l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -0.07, 4, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 24388.845 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -4\/7 (b) -1 (c) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 22313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = y**3 + 8*y**2 - 8*y + 9. Let b be x(-9). Is -3*((-8)\/4 - b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-14 - (-1 - 0)) + -14 + 86 + -81?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*m**3 - 1975*m**2 - 3970*m.\nAnswer: 5*m*(m - 397)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.583*-3.1343.\nAnswer: 1.8272969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = g + 6. What is m(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -5*t + 5. Determine p(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = -38 - -36. Let r = 4.358 - -0.042. Let i = r - 31.4. What is the closest to i in -5, j, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 400\/(3*(-2)\/(-12)). Suppose x = 13*s + 12*s. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z - 2 = o, -4*o + 6*o = 3*z + 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 9\/4, -4, 2\/73, 1, -1\/50, -1.\nAnswer: -4, -1, -1\/50, 2\/73, 1, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and -1\/10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (-24)\/(-28)*15\/(4725\/(-4116))?\nAnswer: -56\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 56955?\nAnswer: 3, 5, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5 + 8. Suppose -j*k + 227 = -4*h, -5*k - 6*h + h + 355 = 0. Suppose -4*s + 115 + k = -n, s = -3*n + 34. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 19925 is divided by 6424.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 4, y: 3}. Give prob of picking 2 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6820\/(-4092))\/(30\/99).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 4 (base 9) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 21 - 3. Suppose 53 = 3*s + 2*b + h, -2*s - 3*b = -30. Let l be (6\/s*9)\/1. Solve -2*k = -l*k + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-414)\/16 - (69\/(-24) - -3). Let d(k) = -k**3 - 25*k**2 + 25*k - 29. Let r be d(h). Let x(g) = -8*g - 3. Determine x(r).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 26033493553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*x - 0 - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 788 = 3475*k - 3315 - 6322 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -79 (base 15) to base 2\nAnswer: -1110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by -376306.\nAnswer: 1\/376306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 2166062842?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) be the first derivative of 0*w**4 + w + 0*w**3 + 231\/5*w**5 - 35\/2*w**2 - 1\/6*w**6 + 229. What is the second derivative of l(q) wrt q?\nAnswer: -20*q**3 + 2772*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 21*h**3 - 38*h**2 + 3869*h?\nAnswer: 126*h - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 18836071?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -2*u + 3. Let i be a(3). Suppose 0 = 6*l - 3*l + 36. Let o be (i\/2)\/(l\/16). Solve 0*m = 5*n + o*m + 20, 0 = -3*n + 5*m + 19 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = v**3 + 11*v**2 + 6*v - 46. Give g(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 36970 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 183911.\nAnswer: 7, 13, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) be the third derivative of d**7\/105 - d**6\/10 + 3*d**5\/10 - 13*d**2. What is v in c(v) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 9, q: 2}. Give prob of picking 1 q and 2 k.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6690*(741\/(-65) + 12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 605 = 55. Let r be g\/30*(-6)\/(-4). Let p = r - -12. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 4.477249918 to four dps.\nAnswer: 4.4772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -0.1245, -4, -2?\nAnswer: -0.1245","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 1 f when two letters picked without replacement from ifbiiibibbbbii?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -3*l**2 + 47406732. Let c(f) = -2*f. Give n(c(v)).\nAnswer: -12*v**2 + 47406732","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1024)\/(-105984))\/(14\/189)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -6 + 6. Let k = 6 - v. What are the prime factors of ((-6)\/4 + 2)*k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.54229ug in nanograms?\nAnswer: 542.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 25545468+16\nAnswer: 25545484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2764? (a) 2\/163 (b) -0.5 (c) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.316813796 - -36.816829496. Let h = -36.5 + x. Round h to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16*s**3 + 9*s**3 + 2*s**2 - 2*s**2 - 21*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:33 PM and 3:30 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -4*x. Let r(l) = 73*l**2 + 2. Let n(u) = -71*u**2 - 3. Let v(a) = -2*n(a) - 3*r(a). What is p(v(f))?\nAnswer: 308*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p be (2\/17964)\/(31961955\/(-2130795) - -15). Let j = 9\/998 - p. Calculate the common denominator of 67\/244 and j.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 339420229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -n - n**3 + 2*n - 63*n**3 + n**2 - 5*n.\nAnswer: -64*n**3 + n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 405, 3350, 11337, 26886, 52517, 90750, 144105, 215102?\nAnswer: 306261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*163.\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/(b*b**(-9))*b)\/b*(b\/(b\/(b*b\/b**(-2\/29)))*b)\/b)\/(b**(2\/5)*b)**(-38\/9) assuming b is positive.\nAnswer: b**(22159\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = -39 + 81. Suppose -2*t - 3*b + 14 = -7*b, -z = -5*t + 3*b. Is 3 a factor of t - (-3 + 2 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 128 a factor of 440598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -844*h**4*i*n - h**2*i*n - 3*h**2*i - 360*h*i*n + 12*h + i*n wrt h.\nAnswer: -10128*h**2*i*n - 2*i*n - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -d**3 - 7*d**2 - 5*d + 4. Calculate w(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -n - 3*t + 1, 3*t = 4*n - 6886 + 6852 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (19*(-12)\/(-1596))\/(-1)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (21 + 14 - 12)*(4 - 4 + 3*y).\nAnswer: 69*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*p**3 + 28*p**3 - 17*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -16 * -335\nAnswer: 5360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*v**2 - 952220*v - 45336146420.\nAnswer: -5*(v + 95222)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4159 + 4165. Solve s*j - 623 = -647 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2454833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = k**2 + 2*k. Let t(q) = q**2 + q. Give -3*n(h) + 4*t(h).\nAnswer: h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 2037 a factor of 1672377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = h**3 - 5*h**2 - 2*h - 22. Let k be c(10). Suppose -z = -k + 15. What are the prime factors of z?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -522? (a) -4\/7 (b) -1\/7 (c) 2 (d) 0.5 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 less than 1676546369?\nAnswer: 1676546369.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = 611 - -258. Let m = v + -773. What is the lowest common multiple of m and 132?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 9, a: 5}. What is prob of sequence faf?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1*10*(-7)\/14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*l**3 - 85*l**2 - 30*l = 0.\nAnswer: -3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -5*x**2 - 4*x. Let r = -5 + 12. Let t(c) = c - 3*c**2 + 6*c + 12*c**2. Suppose 5*w - z = -4*z + 5, -3*w + 37 = -5*z. Give r*f(v) + w*t(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) be the third derivative of 0 - 5\/12*c**4 + c**3 + 0*c - c**2. Let u(h) = -3*h + 2. What is -7*u(g) + 2*v(g)?\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from tggvvggtggggggeqtte.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*q = -9*q + 26. Let l be (-39)\/q + 20\/(-2) - -3. Which is greater: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.2, -4, 3\/5, -5, 4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = 8*k + 388. Let o be v(57). Is o at least as big as 844?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/374 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 15276130 or 15276128?\nAnswer: 15276130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 280012873?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*j**2 - 4*j**2 - 79*j**3 + 76*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 38\/21 and -37\/7866?\nAnswer: 55062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -0.3 (b) 4 (c) 2 (d) -1 (e) 500 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 290 != 1\/8294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -11*t**2 - 926*t + 3235. What is r(-88)?\nAnswer: -461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -3*s**2. Let w(m) = -9*m + 1. Give w(n(p)).\nAnswer: 27*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 20355260 and 14248682.\nAnswer: 142486820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -d**2 + 5*d + 17. Let u(g) = g**2 - 8*g + 14. Let w be u(7). Let r be i(w). Find the third derivative of -8 + 8*v**5 - r*v**2 + 11 - 3 wrt v.\nAnswer: 480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*j - 14*j + 5 = -5*t, 4*t = -8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 137, -57, 0, 90, 2\/13 in increasing order.\nAnswer: -57, 0, 2\/13, 90, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 5525 divided by -5\nAnswer: -1105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 30 + (16 - (19 - (24 + -18)))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (18\/150)\/(3*2\/30)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*x = 5*s + 6*x + 49, 3*s - 6*x + 3 = 0 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-575510)\/(-247)*(1 - -1*1). Suppose -2*v + 2*i = -c, -3575 = -4*v - i + 5760. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5.82 + 0.08. Let i = n + -0.9. Let c = -0.0593 + 2.0593. What is the closest to c in -0.1, i, -3\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -179*t - 854. Suppose -93 - 12 = -5*m. Calculate the remainder when c(-5) is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence alwt when four letters picked without replacement from {w: 1, t: 1, f: 1, a: 1, l: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.01 - 25.51. Let j = n - -26. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -10 + 16. Solve q + 4*h + b = 3*q, -15 = -5*q - 3*h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(128)\/(sqrt(24)\/sqrt(3)) + 1*sqrt(1296))\/(-2*(sqrt(512)*-1 - sqrt(8))))**2*1.\nAnswer: 50\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 3, u: 1, j: 2, x: 3, z: 1}. What is prob of sequence jxu?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = -32 - -18. Let f = s - -6. Let t = f + 11. Which is the closest to 1? (a) t (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m + 62 = -4*u + 78, -5*m + u + 26 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 54569012 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -3456*q**3 + 8640*q - 51840. Let w(b) = b - 6. What is -8640*w(f) + x(f)?\nAnswer: -3456*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-3 + (-18)\/(-12))\/(2\/(-4)). Put s, 0, 15, 5 in descending order.\nAnswer: 15, 5, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 (base 7) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 86687.75mm?\nAnswer: 86687750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -5159 - -5725. Calculate the remainder when r is divided by 40.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 6*y**3 - 5*y**3 - y**2 + 5*y**3 + 2*y in the form m*y**3 + o + r*y + z*y**2 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -200*w + 204*w - 7 = 3*b, 4*b - 24 = -3*w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -911, -1814, -2717, -3620?\n\"Answer: -903*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the third derivative of -16*p**5\/5 + p**4\/24 + p**3\/6 + 10*p**2. Let c be n(7). What is c rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y - 13274 = -1839*d + 1838*d, 5*y - 26527 = -2*d. Does 130 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2.058 + -24.058. Which is the smallest value? (a) 2\/15 (b) s (c) -2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5*k*s**4 + k*s**3 - 3*k*s + 8*k + 6528*s**4 + 2*s**2 + 1421 wrt s?\nAnswer: 120*k*s + 6*k + 156672*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) be the first derivative of g**2\/2 - g + 443. Let k = -15 - -9. What is j(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 14*b + 221 + 31. Let w(x) = 2*x + 34. Let z be w(b). What is the closest to z in 6, -3, 0.3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 10 + -8. Let p be 30\/5*7\/t. Suppose 3*m - 49 = -4*l, -m = -0*l - l + p. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10219 is divided by 1972?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -259261 by -3.\nAnswer: 259261\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1203563 - -3?\nAnswer: 1203566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b be (2\/6)\/((-12)\/252*1). Suppose -f + 6 = 4*z, 2*z - z + 2 = -2*f. Suppose r = -z*u - 17, -3*u + 4*r - 3 + 5 = 0. Which is smaller: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*f - 59 = 37. Sort f, -5, -11 in decreasing order.\nAnswer: f, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -2*p - 7. Let a be m(-5). Let r(o) = -1 - 4*o + 6*o + 0 + 2*o**3. Let q be r(1). What is the greatest common divisor of a and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 444812299?\nAnswer: 89, 4997891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(684)*2)**2*-5 - (-5 + (sqrt(684) + sqrt(684)*2)**2).\nAnswer: -19831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 3*c. Let q(k) = -k**2 - 22*k - 98. Let g be q(-7). Let p(s) be the first derivative of 0*s - g - 1\/2*s**2. Calculate f(p(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Do -50439\/62 and -814 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 2*l + 8. Let g be u(7). Calculate the greatest common divisor of 55 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -19, -5, -4, -68, 19, -6.\nAnswer: -68, -19, -6, -5, -4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {r: 5, x: 4, g: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + (3*((sqrt(1377) - (-2 + sqrt(1377))) + 5) - ((sqrt(1377)*-3*3 - sqrt(1377)) + 5)))**2.\nAnswer: 2160*sqrt(17) + 137844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 8*w**2 + 2*w - 2. Let b be v(1). Suppose c - 5*i = 16, 2*c + b*i = 7*i + 65. Let f be 4\/6 - 14\/(-6). Solve -15 = f*o, 0 = 2*d + 6*o - o + c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (7*35\/(-385))\/((-16)\/(-88))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1112926?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -43*n + 86*n - 41*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -r - 2*c + 5*c = 42, -5*r + 857 = -5*c + 917 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -5*s**2 - 1. Let b(h) = -11*h**2 - h - 2. Let n(y) = 6*b(y) - 13*m(y). What is the units digit of n(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12202102012 + -102020?\nAnswer: 12201222222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -344440 (base 6) in base 4?\nAnswer: -13031220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 33606064 is divided by 7819?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 3\/7 (b) -1 (c) 4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2 - (4\/2 + -1). Let a(h) = -4*h. Let y be a(j). Let l = y - -15. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) -1 (b) -16 (c) -1\/9 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.1, 39, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*p**4 - 362*p**3 + 204*p**2 - 2*p?\nAnswer: -48*p - 2172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (860\/627)\/4 + ((-3325)\/(-1900))\/(21\/(-4))?\nAnswer: 2\/209","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 3 - (7\/2)\/1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9970*v + 1088*v = 575016 for v.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -724, -1419, -2114, -2809?\nAnswer: -3504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 468012 bigger than 468013?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1\/5, 2\/427, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-21)\/(-140))\/(3\/(-12)). Let u be (1*(-2)\/3)\/2. Which is the closest to -0.2? (a) -1\/4 (b) t (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = u**3 + u**2 - 5*u - 4. Let p be n(-2). Suppose -29 - 56 = -3*s - 5*w, 0 = p*s + 2*w - 54. Solve 2*z = -3*z + s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -44 (b) 4 (c) -0.2 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 45\/6*170856\/(-11865)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.329935776 rounded to 3 decimal places?\nAnswer: 1.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 667*j - 9. Let s(m) = -2*m - 3. What is d(x) - 3*s(x)?\nAnswer: 673*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -878295*v**6 - 58*v**4*z + 492*v**2 - 1230*v*z + 2*v - 3*z + 2 wrt v.\nAnswer: -105395400*v**3 - 1392*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 25026.5 to the nearest one thousand.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -3*v + 7. Give j(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (48\/8)\/(-2*(-3)\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 630740057 divided by 1.\nAnswer: 630740057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -33*f + 62. Let q(r) = -35*r + 72. Give -7*o(c) + 6*q(c).\nAnswer: 21*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*w - f, -16*w - 30 = -11*w + 5*f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-n + 2*n - 2*n)*(-16217 + 16217 + 13*n + (-3 - 2 + 3)*(1 - 1 - n)) to the form o + i*n + s*n**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) be the second derivative of -d**5\/4 - 35*d**4\/36 + 5*d**3 - 20*d**2\/3 + 12*d. Factor r(j).\nAnswer: -5*(j - 1)*(j + 4)*(3*j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 - -2 - 1 - -6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -10.6 in 2\/11, 1, -0.04, -2\/1439, -1\/5, -0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1705366?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 137*k*l**2 + 6*k + 3 wrt l?\nAnswer: 274*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -27519*c**3 - 3*c**2 - 5*c - 1. Let s be m(-3). What is s rounded to the nearest ten thousand?\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 9*a - 225. Let j be x(5). Let s be ((-3)\/2)\/(18\/j). What is the greatest common factor of 240 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8514 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -11c + 1d?\nAnswer: -ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = -15 + 10. Let q = -2 - m. Suppose 0 = 8*n - q*n - 60. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -49223557.2 rounded to the nearest ten thousand?\nAnswer: -49220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -6*j**2 - 14*j + 8. Let x(p) be the first derivative of 4*p**3\/3 + 9*p**2\/2 - 5*p + 8. Give -5*a(k) - 8*x(k).\nAnswer: -2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 15*r - 24*r + 1233. Let w = r - 132. Solve -3 = -w*k - 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 787, 879, 971, 1063, 1155, 1247?\n\"Answer: 92*v + 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 5*z**2 - 12*z + 11. Let n(h) = 6*h**2 - 13*h + 12. Let p(k) = 5*b(k) - 4*n(k). Let j be p(-5). Calculate the highest common divisor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 - 209*q**2 - 3992*q + 214*q**2 + 3992*q + 0.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h = -0*h + 15. Suppose -w = -3*o + 21, h*o = 4*w + 21 + 9. Suppose -2*c = -o*c + 24. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -16, -21, -28, -37, -48, -61?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 91\/(-78)*108\/21.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: What is the value of 442\/(-39) + ((-4)\/(-3))\/1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -6*n. Let q(l) = 2*l + 0*l + 5*l. Let r = -42 - -37. Determine r*q(m) - 6*j(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 530 minutes before 7:01 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 726 and 10.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -0.1108986917 to five dps.\nAnswer: -0.1109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/(8\/(-6)) - (-36)\/(-24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 123132200002 (base 4) to base 3\nAnswer: 111112221102001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/2 at least as big as 11253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 44352 is divided by 31.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in -125, -260, -395, -530?\nAnswer: -665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -25\/617758 (b) 2\/7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = i**3 - 8*i**2 + 5*i + 18. Suppose 203 = 15*g + 53. What is the hundreds digit of t(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 2*t**2 - 53*t + 146. Is 14 a factor of l(30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -3*h + 1 + h - h**3 - 2. Let u(y) = y**3 + 11*y**2 - 2*y - 24. Let q be u(-11). Is a(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5390*u**2 + 2*u + 2513.\nAnswer: 10780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -10231.19 times -0.4\nAnswer: 4092.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u be -1 + 2 + -2 + 23. Suppose 4*m = 3*l + u, 3*m - 18 = -m + l. Let y = -6 + 11. What is the remainder when y is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + 2 + -3 - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/7? (a) -0.5 (b) 2 (c) 4 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 2390370 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a be (0 - -3) + 5 + 1 + -4. Suppose -a = 2*i - 9. Solve -3*r + i*t = -0*t - 11, -5*t = 5*r - 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*n + 11*n - 5*n)*(32*n**3 - 11*n**3 + 13*n**3).\nAnswer: 136*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 896672 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 5242a4 (base 13) to base 4.\nAnswer: 13111130133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -10\/3, -2, -0.02, 5\/4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 238469.9 kilometers to meters.\nAnswer: 238469900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 0 - 1)*(h + 3*h - 5*h)*(h**2 + 2*h**2 + 3*h**2)*(-12*h**2 - 16 + 16).\nAnswer: 144*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 922 is divided by 120?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1475 - -4583. Suppose -7*d + h = 30*d. What is the remainder when d is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1164 divided by 291?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = 3 - 2*x**3 + x**3 - 7*x**2 - 2*x - 5*x. Let n be w(-6). Let z = -6 + n. Solve -12 = -y - z*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = 5*z + 30, -2*v - 4*z - 32 = -4*v. Let c(k) = k**2 + 46*k + 136. Let l be c(-43). Suppose l*b - 2*b = v. Solve -j = -b - 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 221883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -32 (base 14) to base 2\nAnswer: -101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 7439*j + 95. Is m(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 437118?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.074257 and 0.006.\nAnswer: -0.000445542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 39 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (283 - 42 - 9 + (2 + 3 - 3)*(-1 + 0 + 0) - 2 + 0 + 1)*(4*x**4 - 5*x**4 - x**4).\nAnswer: -458*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 6764426\/902 - (-4)\/(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*g - 0*g - 4*b + 24, -4*b = -12. Suppose 0 = -u - 2*y + 30, u - g*u + 5*y + 105 = 0. Suppose -2*z = -4*z + u. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1082*r + 175 wrt r?\nAnswer: 1082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -33 + 35. Let r be (-14)\/(-6) + 0 - z\/6. Put 11, r, 1, 0 in decreasing order.\nAnswer: 11, r, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (3 - -3)\/(3\/2). Let b(g) = 4 - s + g. Let o(y) = -2*y**2 - y + y. Give o(b(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/21? (a) -0.3 (b) -0.03 (c) -1.3 (d) -6 (e) 390\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*r - 12*r - 15 = 0. Let v be 2 + 6\/1 + 0. Solve j + 4*i - r = -4, 0 = -4*j - 3*i - v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 101986.663842568 + 3.\nAnswer: 101989.663842568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.3 * 58083.\nAnswer: 17424.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(1008) + 5 + 4 + sqrt(1008) - ((sqrt(1008)*4)**2 + 4)).\nAnswer: -16127 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1 + -4 + 7 + 0. Suppose -2*d + 0*d - 32 = r*l, 0 = 2*l + 8. What is the units digit of -3 - d*5 - -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 38 = 8*r + 30 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 0.0344 = 1326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -30*h**3 + 51*h**3 + 216 - 38*h**3 + (-h**2 + 0*h**2 + 3*h**2)*(-h + h + h) to the form r*h + m*h**3 + l*h**2 + s and give s.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -19*t**3 - 2*t**2 - t. Let i be l(-1). List the prime factors of 750\/i + 2\/(-3).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -13e202 (base 16) to base 15\nAnswer: -1ab147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k be (4 + (-76)\/16)\/(9\/87). Which is smaller: -7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zppppppzpppzpzpppp. What is prob of sequence pp?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 29*s**3 + s - 1. What is w(1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (798\/(-396))\/(-19)*3\/7?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2, -13.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 58 + -57. Which is the closest to o? (a) 0.5 (b) 3\/4 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1593*t**2 + 5 - 2*t - 1595*t**2 - 9*t**3 - 4 to the form l*t + h + c*t**3 + y*t**2 and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + 4*s**3 + 1 - 5*s**3)*((-1 - 1 + 6)*(-4*s + 5 - 5) + 0 - s + 0 + (-1 - 1 + 3)*(3*s - 7*s + 2*s)) as f*s**3 + p*s + z*s**2 + d*s**4 + c and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 381553, 381548, 381541, 381532?\nAnswer: 381521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = -2*f, 32 = 3*f + 2*f - 3*o. Suppose 26 = f*z + 9*z. Solve -w = z*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s - w = 2254 - 2200, 5*w + 210 = -3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -12*r**3 + r**2 + 3710*r - 721674?\nAnswer: -36*r**2 + 2*r + 3710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 1, z: 1, k: 2, m: 1, u: 2}. What is prob of picking 1 u, 1 a, 1 z, and 1 k?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 0.05797 (b) 10 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) 1\/3 (b) -4\/7 (c) -4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 57611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = f**2 + 7*f + 2. Let r be w(-6). Let q = r - -3. Let k be q - -3*(-1 + 2). Solve k*n + 4*v + 5 + 5 = 0, 6 = -3*v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = w**2 - 5*w. Let b be v(6). Let z(g) = g**3 - 5*g**2 - 4*g. Let j be z(b). Suppose 2*d - j = -0*d. Solve -3*p = -p - d for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -12 - -29. Let y(s) = -s**2 + 17*s - 49. Suppose 0 = -2*r - 4*b + 20, 2*r + r + b - 35 = 0. Calculate the smallest common multiple of j and y(r).\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -2*q**3 + 282*q**2 - 834*q + 13. Give w(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0003986457 to 5 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -72 in 1\/2, 8.6, 3, 1\/46?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((c*c**(2\/3)\/c)\/c)\/c)\/c)**(-38))**23 assuming c is positive.\nAnswer: c**(6118\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -235, -251, -267, -283, -299, -315?\n\"Answer: -16*n - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -15 - -19. Suppose f*w = 2*w - 4, 5*h - 2*w - 1044 = 0. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 2 a when three letters picked without replacement from {a: 2, c: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4134?\nAnswer: 2, 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 406859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 420.7807995 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let 4*x**3 + 284*x**2 + 2720*x - 6608 = 0. What is x?\nAnswer: -59, -14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10789 is divided by 257?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 146 = -4*n, 2*n - 4*n + 58 = -2*j. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 106, 236, 436, 748, 1214, 1876?\nAnswer: 2776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -516*m**2*v**5 - 296*m**2*v**4 + 36*m**2*v + m*v**2 + m*v - 602*v**2 wrt v?\nAnswer: -30960*m**2*v**2 - 7104*m**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oin when three letters picked without replacement from omonngngmeigomi.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 8586025 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 498712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*p - 408 - 75 = 0. What is the remainder when p is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = y - 1. Let x(n) = n - 6. Suppose -3*q = -0*q - 15. Let v be x(q). Determine h(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 18*h - 1066 = 0. Suppose -2*o = -120 - h. List the prime factors of o.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 88 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = 10017 + -9999. Suppose 2*j - 7*j + 5 = 0. What is the least common multiple of 3 + -1 + 1 + j and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 121 + 29. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5587*w**3 - 13269*w**3 + 4318*w**3 - 1696*w**3.\nAnswer: -16234*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 12.904, 5, 2, -3\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1065, 2193, 3321, 4449, 5577?\nAnswer: 6705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:48 PM and 11:17 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 599938086*g**4 - 766389758*g**2?\nAnswer: 14398514064*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -323*d**2 + 14*d + 37. Let z be v(-3). Let g = -763 - z. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(19) + sqrt(19) + -3)*1.\nAnswer: -3 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 92 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) be the first derivative of k**4\/12 + k**3\/2 - 2*k + 3. Let v(c) be the first derivative of r(c). Find the second derivative of v(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*p**4 - p**2 + p**2 + (0*p**3 + 3*p**3 - 5*p**3)*(2*p - 4*p + p) + 0 + 2*p**4 + 0 + (-2*p**3 - p**3 + 5*p**3)*(-52 - 395*p + 782*p - 389*p).\nAnswer: 4*p**4 - 104*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -361*w + 362*w - 4*x = -19, -8*w = 5*x - 33 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -737374, -2949482, -6636328, -11797912, -18434234, -26545294?\n\"Answer: -737369*p**2 - p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0206201 to three dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -a**3 - 11*a**2 + 9*a + 45. Calculate x(-6).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -98*w + 97*w + 27 = 0. What is the remainder when 1375 is divided by w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) be the second derivative of 0*g**2 - 2*g + 1\/5*g**5 + 0*g**3 + 1\/3*g**4 + 0. Find the third derivative of p(q) wrt q.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -5*p**3 - 35*p**2 + 2*p + 3. Determine d(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -p**2 - 9*p + 19. What is a(-11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q = 5*w - 95, 0 = -3*q + 9 - 0. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1262 (b) -214 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (i**4 - 3*i**4 + 0*i**4)*(3 - 1 - 3) + (-2*i**2 + i**2 + 2*i**2)*(2*i**2 - 3*i**2 - i**2) - i**4 + 0*i**4 + 0*i**4.\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1304 - 331. Suppose -262 + m = 3*f. Calculate the remainder when f is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 1634, 1627, 1616, 1601, 1582, 1559, 1532?\n\"Answer: -2*j**2 - j + 1637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by 45?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (1224\/14756)\/(-18)*14\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 40 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -20 + -1 + (-176 - -46 - -116)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/3, -5, -88 in descending order.\nAnswer: 1\/3, -5, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -2, -3, 115 in descending order.\nAnswer: 115, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 15 + 3 + -8 + -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7528 and 855369?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = 34 - 37. Which is the nearest to 1\/2? (a) 0.3 (b) 0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b**3 - 361060605*b**2 + 10863729859716864*b + 10863730220777472 = 0. What is b?\nAnswer: -1, 60176768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-148)\/(-8) + 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(21)\/(sqrt(7)*-1 - sqrt(7)) - (sqrt(147) + sqrt(147) + 1 + sqrt(147))) + (sqrt(1323)*-3)\/sqrt(9))**2*-5.\nAnswer: -108395\/4 - 425*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -0.5*104.1\nAnswer: -52.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 5737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -198 divided by -9\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -h = 4*h + 3*x + 1, 0 = x - 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -c**2 + 7728*c + 287310. What is q(-37)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1826 and 1019678.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 4 = 6. List the prime factors of 27\/15 + x\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 83 - 80. Let m be ((-802)\/b)\/(6\/(-9)). Suppose -9*n + 58 = -m. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 7.8674307477 and -5.\nAnswer: 2.8674307477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -q - 4. Let j be v(-6). Suppose 2*x - 18 = -4*a, 0*a = -4*x - j*a + 6. What is the remainder when 23 is divided by x - (0 + (-27)\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -12070.4 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 30425475 to the power of 1\/2, to the nearest integer?\nAnswer: 5516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4528*b**2 - 4528*b**2 + 3*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*t + t + 0*t)*(3*t - 4*t + 2*t) + (3749*t + 5023*t + 331*t)*(-t + 3*t - t) as z*t + w*t**2 + o and give w.\nAnswer: 9101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 17 * 13\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -2*p, -5*w + p = -2*w + 505. Let i be w\/(-49) - 3\/7. Solve 2*r**2 + 2*r**4 + 0*r**4 - 30*r - 2*r**i + 32*r - 4*r**2 = 0 for r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 8 and 78195664.\nAnswer: 78195664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) be the third derivative of i**4\/24 - i**2. Let n(l) be the first derivative of -2*l**2 + 7*l**2 - 3*l**2 - 3. What is n(p(w))?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert -12536 (base 9) to base 14.\nAnswer: -3121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gxc when three letters picked without replacement from {c: 3, n: 3, x: 5, w: 1, g: 1}?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = a**2 + a**2 - a**2. Let u(x) = -19*x - 31*x - 21*x + 77*x. Give r(u(w)).\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -11 - (31\/(-5) + (82\/(-90) - 8\/(-72))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor 34\/11*s + 2\/11*s**3 - 16\/11 - 20\/11*s**2.\nAnswer: 2*(s - 8)*(s - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 5*g**2 - 10*g - 11. Let t(i) = -6*i**2 + 11*i + 13. Let f(m) = -7*j(m) - 6*t(m). What is f(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 3 y when four letters picked without replacement from {y: 11, g: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-145)\/261)\/((112\/(-280))\/((8\/5)\/(-2)))?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*d**3 + 0*d**3 + 171*d + 6*d + 3*d**3 to the form j*d**3 + y*d + a*d**2 + k and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a + 0*a - 9 = 0. Let q be a\/((24\/(-10))\/(-4)). Suppose -9*r + 36 = -0. Is q smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3357*j - 213905 = 103531 - 79089 for j.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -101110100 (base 2) to base 4\nAnswer: -11310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -54, 116061, 2\/3, 1 in increasing order.\nAnswer: -54, 2\/3, 1, 116061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 3013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (91 - 106) + -36 - -38.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(300)\/((sqrt(72)\/sqrt(6) - sqrt(12)) + sqrt(12)))\/(sqrt(720)*-1*-4)*6.\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = -3*l - 41, -l - 2*z + 4 = 1. Let k = -255893\/2 + 127940. Is k < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-1540)\/(-100) - 16) + (-303)\/(-5). What is the greatest common divisor of o and 2325?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -11 + (25 - (-3 - -11)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 1410881*d**2 - 5013*d + 5013. Let a(q) = -563*q**2 + 2*q - 2. Calculate 5013*a(s) + 2*i(s).\nAnswer: -557*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -4*i + 19. Let z be w(13). Let n = -31 - z. Suppose c - 3 = -a, -a + n*c + 7 = 1. Solve a = 3*v - v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4 - 97a23?\nAnswer: -97a27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-36)\/(-7)*(10 + -3). Suppose 4*s = -4*n + r, -3*n + 2*s = -2*n + 6. Let l be 7 + (-2 - 0\/n). What is the highest common factor of l and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 396 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 111 + -109. Suppose h*f - 15 = -3*f. Suppose -104 = -5*r - 6*w + 3*w, -51 = -3*r + 2*w. What is the remainder when r is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 778128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*p**3 - 656045*p**2 - 21520080120*p - 21519424080.\nAnswer: -5*(p + 1)*(p + 65604)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(4\/3)*m*(((m*m**(-22))\/m)\/m)\/m*m*m)\/(m**(-4)*m*m\/(m*m**(-18))) assuming m is positive.\nAnswer: m**(-104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 1879 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (27\/(-12))\/((-5)\/80*-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 15 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -24.75305 to 2 dps.\nAnswer: -24.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -5\/13, 4\/103, 12 in ascending order.\nAnswer: -5\/13, 4\/103, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2020 is divided by 338?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1100 - 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 1986092.19 milliseconds?\nAnswer: 0.022987178125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 94759.\nAnswer: 7, 13537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2772 is divided by 48.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 407 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 130? (a) -5\/2 (b) 5.2 (c) -19 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -441*r + 198 = -901*r + 469*r for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) be the second derivative of -w**7\/21 - w**6\/15 + 3*w**5\/5 - w**4\/3 - 5*w**3\/3 + 3*w**2 - 53*w. Suppose f(l) = 0. What is l?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2370*w**2 + 4125*w.\nAnswer: -4740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) be the first derivative of 19*o**3\/3 + o**2 + o + 13. List the prime factors of k(4).\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 79310 and 48410?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -31981*j + 18*u = -31976*j - 182, 3*j - 57 = 5*u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 43103838461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1094601\/959 - -7989\/7. Let z = h + -65458\/48909. Calculate the common denominator of z and 117\/170.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7957781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = r**2 - 3*r + 3. Let i = 3 - 0. Let u be ((-2)\/i - 0)*-9. Is a(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-six fifths of a microgram in nanograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -6124983 by 3.\nAnswer: -2041661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*m = 10*m - 27. Suppose g + 13 = 2*q + 2*q, g + 1 = q. Solve q*k = k - m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 4*w**2 + w - 3. Let s(f) = 17*f**2 + 5*f - 13. Let k(v) = -2*s(v) + 9*u(v). Calculate k(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/8135083 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -9*q + 19*q - 41*q - 74*q. Let h be f(-1). Calculate the greatest common factor of h and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -445 + 412. Let k be 11\/(i\/9) + 3. Which is bigger: k or -13\/18?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9468*q = 191139 + 660981 for q.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.36813096 to 4 decimal places.\nAnswer: 0.3681","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1806992013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = -17 + 46. Let d = -8 + 13. Suppose -5 = -d*b - 0*b. Solve 3*l - t = 4*l - 5*h, 0 = -4*l - 3*h - b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1234 + 1241. Which is the closest to 0? (a) 1 (b) s (c) -3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -6.3 + 0.3. Let r = o + 2. Let b be -1*(-1)\/4 + -1. What is the biggest value in 1, r, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 158547, 158548, 158549, 158550?\nAnswer: 158551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dcv when three letters picked without replacement from ccducuccufv?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 - (0 - (3 - -5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -5*a**2 - 447*a. Let b(i) = 10*i**2. What is z(b(h))?\nAnswer: -500*h**4 - 4470*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/d**(-2\/9))\/d)\/(d**(-6)*d)*(d\/((d\/(d**(-1)*d))\/d*d)*d)**27 assuming d is positive.\nAnswer: d**(290\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v\/(v\/(v*v\/v**(-2\/25))))**(-44))**(-2\/59))**(-29) assuming v is positive.\nAnswer: v**(-132704\/1475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 734\/(-70) + 18\/63 and 5\/(-30)*(-166)\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 + 5 + -10 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*o + 42 = 3*n + o, -5*n - 4*o + 36 = 76 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/70157 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h = 3*x - 60, -2*x + h - 5 = -45. Let m be (27\/7 - (-26)\/182) + -4. Suppose m = r + r - x. What is the least common multiple of r and 38?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 3\/8 of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 3*t + 4*t + 2 - 8*t. Let o be j(-6). What is the greatest common divisor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 149269408?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-146875)\/((-2562)\/1280 + -2 - -4). What is g rounded to the nearest 1000000?\nAnswer: 94000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*y**2\/7 + 11580092*y\/7 - 16762316341058\/7 = 0. Calculate y.\nAnswer: 2895023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-22600)\/(-450) + (14\/18 - 1). Suppose n = 12*j + 2. Solve 4*a + 40 = 4*h, 5*a + j*h = -3 - 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = x - 3*c, -2*x - 2*c = c - 35. Suppose -x*s + 15*s = 25. Suppose -5*o - 25 = 0, -2*u + u = o + 4. Put s, u, 3 in increasing order.\nAnswer: u, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/(-4))\/((-2)\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = 7*k**3 - 2*k + 1. Let v be w(1). What is the units digit of (4\/v)\/(4\/42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -51 + 74. Suppose 0 = -2*o + 3 + y. Suppose -l = -15 + 7. Calculate the remainder when o is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 621 + -661.3. Let b = o + 40.29999678. Round b to seven dps.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 - (7 + (-6 - 1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -34*g - 74. Give z(-4).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*u + 5*r - 41, 5*r - 2*r - 47 = -2*u. Suppose g + 3*i = -8, 4*g - u = 2*i + i. Factor -2\/5*j**g + 2\/5*j - 2\/5*j**3 + 2\/5*j**2 + 0.\nAnswer: -2*j*(j - 1)*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.9, 1, 51, 3, 2 in descending order.\nAnswer: 51, 3, 2, 1, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is ((-10)\/3)\/(900\/(-450))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2 - 2.1. Let n be -1*((-2)\/(-9))\/((308\/99)\/7). What is the nearest to n in m, 1, 1\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -178022 + 355911 - 6*i - 178000.\nAnswer: -6*i - 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 + 5*r + 1 + 5646*r + 237 - 5647*r - 39 + 3*r - 5*r + r + (r + 0*r - 2*r)*(-1 + 3 + 0).\nAnswer: r + 198","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-26628)\/15216*264\/7?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 + 80 = u. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1638189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*t - 2*t = 28. Suppose -8*y - 8 = -10*y. Are y and t equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ittt when four letters picked without replacement from {d: 1, e: 1, t: 5, i: 1, y: 1}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 12 in 2\/3, -3, 204346?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 66586423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2754 and 2376.\nAnswer: 121176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -33*n + 1190 = -126*n + 23*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -8 + 12. Suppose -p = 2*p - 9. Find the second derivative of v*k**3 - 3*k**p - 2*k + k wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 3*b**2 - 4*b + 7. Let c be 5\/(-2 + 6\/6). Let f(v) = -2*v**2 + 2*v - 4. Determine c*f(r) - 3*k(r).\nAnswer: r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Are -194 and -184 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**8*c)\/(c*(c\/(c*c**(1\/6)))\/c))**(-41\/2)*(c**0)**(1\/18)*c*(c*((c*(c*(c**2\/c)\/c*c)\/c)\/c)\/c*c*c)\/c*c\/c**0 assuming c is positive.\nAnswer: c**(-2207\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 3, q: 1, y: 3, j: 1, p: 2}. What is prob of sequence hj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, 3, 0, 13, 1 in descending order.\nAnswer: 13, 3, 1, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 - 23 = -18*m. Solve -6*w - 31 + m = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/3 > 6029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 1412 = -2*u + 3*j, 2*u - 1400 = -2*j. Calculate the highest common factor of u and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -312, -315, -320, -327, -336, -347, -360?\n\"Answer: -j**2 - 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqz. What is prob of picking 2 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 372440 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = -41 - -22. Let j = 23 + y. Solve 4 = j*a - 0*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 8.3 and 0.16913.\nAnswer: 1.403779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -g**3 + 11*g**2 + 11*g + 15. Let r be p(12). Suppose 47 = r*m - 5*x, 0*m - 2*x - 30 = -2*m. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, -2\/15, -7 in descending order.\nAnswer: 0.4, -2\/15, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 310 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find g, given that -15*g**4\/4 - 3575*g**3\/2 - 839615*g**2\/4 + 766200*g + 5544000 = 0.\nAnswer: -240, -11\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) be the second derivative of a**4\/12 + 7*a. Let b(i) = -i**2. Calculate h(b(g)).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -a - 2 - 38*a**2 + 37*a**2 + 2.\nAnswer: -a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -23\/6228858 and -39\/113157587?\nAnswer: 678945522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1 - -423?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1 + 5.5. Let x = -0.5 - v. Let n = 7 + -6.7. What is the closest to 1 in n, x, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 388 + -384. Let u(b) = b**2 - 6*b + 15. What is u(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-10)\/(-4) + (-19190)\/7980?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*t - 3*z + 54 = 0, -38 = t - 5*z + 30 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + s + 4 + (5*s - 3*s - 3*s)*(4 + 1 - 3) + 4*s - 5*s - s)*(92 - 157 - 201).\nAnswer: 798*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -121.84 rounded to zero decimal places?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 11149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(110)*-1 + sqrt(110)))\/(sqrt(90)\/sqrt(225))*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 + 1 - (-1 - -4 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 321935241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10044 is divided by 829?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.034 in -2\/3, 2, -12\/7, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (sqrt(19) - (1*sqrt(95))\/sqrt(5))**2 + 5 + 0 + sqrt(19) + -5.\nAnswer: 1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + 1 = -j + 3, 3*j - 8 = 2*g. Let m(z) = 3 - j - 4 + 4. Let c(y) = -4*y - 4. What is -c(d) + 5*m(d)?\nAnswer: 4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 291 is divided by 262.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -1 by 18.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:48 AM and 5:48 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2286724 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express 43*k**3 - 40*k**3 + 0*k + k**4 + 3*k + k in the form n*k**3 + j*k + f*k**2 + x + w*k**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -115, -261, -423, -607, -819, -1065, -1351, -1683?\n\"Answer: -u**3 - 2*u**2 - 133*u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -34.06402 to 2 decimal places.\nAnswer: -34.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 672 and 33677812?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out 164 * 1992.\nAnswer: 326688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is ((-170)\/20)\/((-27)\/36720) a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 230\/(-874)*10\/(-75)\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + -4 + ((sqrt(152) + (sqrt(152) - (sqrt(152) + sqrt(152)*1 + sqrt(152)) - sqrt(152)))\/sqrt(8) - sqrt(171)*-1 - -4*-1*sqrt(475)))**2.\nAnswer: 152*sqrt(19) + 6875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 3087.288 kilograms?\nAnswer: 3087288000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sum 2 and -0.969.\nAnswer: 1.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 448 divide 2317844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/(j**(-4)\/j)*j\/(j*j**(1\/4)))\/(j\/(j*j*j\/(j*j\/(j*j**(1\/2)\/j*j))*j)*j**(-1)) assuming j is positive.\nAnswer: j**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -11293695 divided by 333?\nAnswer: -33915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -102 (base 16) in base 3?\nAnswer: -100120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/1067106 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -3767 * -1.9\nAnswer: 7157.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m, 1 u, and 1 g when three letters picked without replacement from {m: 2, g: 3, u: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4*s**4 + 2*s**3 - 33*s**2 - s + 279432?\nAnswer: 48*s**2 + 12*s - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from tnniaci?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence myy when three letters picked without replacement from {u: 1, k: 1, y: 3, m: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: What comes next: -4140, -3736, -3346, -2976, -2632, -2320?\nAnswer: -2046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -621, -4464, -11525, -21804, -35301, -52016, -71949?\nAnswer: -95100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -1a (base 12) to base 4\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -82 in 0.1021, -0.5, -2\/21, 10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 330 a factor of 39839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 3 - 3)*(1 + 0 + 0)*(-l - 3*l + 7*l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 3*r**3 + 2*r**2 + 9*r - 5. Let k(a) = 2*a**3 + a**2 + 8*a - 4. Let w(y) = -7*k(y) + 6*l(y). Let t = 8 - 5. Is w(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4561 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 23756349841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 13 - ((32 - 14) + -18)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + j = 0. Let n be 1\/(10\/4 - 2). Suppose 0*o = -n*o - 4. Put j, 1, o in ascending order.\nAnswer: o, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 34 and 419118?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -6046884 divided by 201\nAnswer: -30084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2556?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 72.71101 nanograms to tonnes.\nAnswer: 0.00000000000007271101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 364 + 1404. Let b = g - 1764. Let q = -0.13 + 11.13. What is the second smallest value in -3, q, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*b**5 + 662*b**4 - 8*b**2 + 141566*b?\nAnswer: -40*b**3 + 7944*b**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 756 + 624 = 0. Suppose 55 = 11*m - f. Let x(q) = q**3 - 11*q**2 + 13*q + 2. Give x(m).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from uwwwuwwuwwwwwwwwwwww?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 7, l: 5, y: 1}. Give prob of picking 2 l and 1 m.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m be -7 - (-1 + 37)\/3. Which is the closest to -0.1? (a) 2\/13 (b) 0.1 (c) m (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 144\/(-189)*27\/6. Let f(b) = b**2 - 2*b - 4. Suppose 5*g = 4*g. Let j be f(g). Are j and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 28781629 is divided by 14390719.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (511*i - 354*i - 268*i)*(-2*i**2 - i + 0*i + 0*i**2).\nAnswer: 222*i**3 + 111*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in 0, 3\/5, 3\/49, 1\/9, -5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 70*m**3*r**3 + 207*m**3*r - 2*m*r**4 + 2*r**2 wrt r.\nAnswer: 420*m**3*r - 24*m*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 504 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dhud when four letters picked without replacement from ahadauchdduahaau?\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 80261 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -v**3 - 11*v**2 - 8*v - 10. Calculate p(-10).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 306213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = 91.3 + -91. Suppose -4*d - 28 = -8*d. Suppose 3*x + f - d = 5*x, -8 = x + f. Which is the nearest to x? (a) 1 (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine z, given that 2*z**5 + 1490*z**4 + 23006*z**3 - 234666*z**2 + 54144*z + 1207224 = 0.\nAnswer: -729, -23, -2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -0.95 times -197.4?\nAnswer: 187.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 2*d**2. Let a(l) be the third derivative of -139*l**4\/12 + l**3\/3 - l**2 - 60*l - 3. What is a(m(b))?\nAnswer: -556*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.284 + 0.716. Let u = -75 + 76.04. What is the biggest value in 0.4, u, x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5 + -2. Suppose 4*k = -2*u + 14, -4*u + 2 = -4*k - k. Let v be (-21)\/4 - (-3)\/12. Sort t, k, v.\nAnswer: v, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -33 + 48. Let n be -6*(13\/(-6) + 1). Suppose -z = -0*z - 5*b, -2*z + 3*b + n = 0. Solve -z*p + 0 = -w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -786, -1546, -2300, -3060, -3838, -4646, -5496?\nAnswer: -6400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/9 + (-112)\/28 + 6\/(-27)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 48 less than 0.180965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -2*c + v, -63*v + 4 = -67*v. Put -4, c, -6, -2, 3 in decreasing order.\nAnswer: 3, c, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -5*o**5 - 585*o**4 + 4255*o**3 - 10455*o**2 + 10510*o - 3720 = 0. What is o?\nAnswer: -124, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) be the third derivative of -16\/105*k**7 + 0*k**4 + 8*k**2 + 0*k**3 + 0*k**5 + 0 - 1\/84*k**8 + 0*k + 3\/10*k**6. Factor c(q).\nAnswer: -4*q**3*(q - 1)*(q + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a millennium in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12 divided by 104.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -43*l - 45*l - 42*l = -124*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1155 and (103\/7 + 1)\/(532\/11172).\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = 1 - 13. What is the highest common divisor of t and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -247 + 243. Which is the nearest to -0.1? (a) g (b) -0.047 (c) -1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -63*n + 32. Is u(-8) a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, 3\/7, 0, -2\/11 in descending order.\nAnswer: 3\/7, 0, -2\/11, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3928809 is divided by 282.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -25 + 15 + (0 - -14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 350 and 2?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*u + 11 = 3, 2*u = -2*s + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-6)\/(-1))\/3)\/((-6)\/15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*l**3 + 206*l**2 - 1322*l - 1526.\nAnswer: 2*(l - 7)*(l + 1)*(l + 109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -3*l**2 + 26*l - 130. Give g(7).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -23835 - -23843. Sort 0, r, -3, 3 in increasing order.\nAnswer: -3, 0, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -1411, -6369, -14767, -26599, -41859, -60541, -82639?\n\"Answer: o**3 - 1726*o**2 + 213*o + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 133 (base 4) in base 8?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 704 minutes after 12:02 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j be 17\/34*12\/(-21). Which is the second biggest value? (a) 0 (b) 723 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 8*w**3 - 6*w**2 - 6*w - 6. Let s(u) = -7*u**3 + 5*u**2 + 5*u + 5. Suppose 0*j + 4*k = -2*j - 6, 4*k + 31 = 3*j. Determine j*b(i) + 6*s(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -0.14 times -2?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 29727 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t be 5 + (2 - 2 - 1). Suppose -2*r - 2*w - 4 = 0, -3*r + 4 = -r + t*w. Which is the second smallest value? (a) -5 (b) 0 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3932987946 rounded to 3 dps?\nAnswer: -0.393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -1384 smaller than -1377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x + 5*x + 4*y = -328, 5*x + 2*y + 334 = 0. Let h = -64 - x. Suppose -5*u - 35 = -5*t, h*t - u - 7 = 9. Let i(z) = 3*z - 4. Calculate i(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(6\/13)\/(g*g*g*g\/(g\/g**(-12))*g*g))\/(g**(-1\/4))**(-44) assuming g is positive.\nAnswer: g**(-46\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is y in 718*y**4\/5 + 1007066*y**3 - 10100874*y**2\/5 + 5092886*y\/5 - 5612 = 0?\nAnswer: -7015, 2\/359, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -2*l**4 - 5*l**2 + 47192*l + 2 - 45975*l + 4*l**2 in the form u*l**3 + g*l + o + z*l**2 + m*l**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h be 44\/8 + (-9)\/(-18). Find the second derivative of -5*s + 21 + 64*s**2 + 21 + 16 - h*s**2 - 52 wrt s.\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -80 and -0.1765.\nAnswer: -80.1765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:22 PM and 4:14 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (-20)\/(-32)*(-456)\/(-570)*(-138)\/(-15)\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.7863 + -0.2137. Is -49 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -9\/40 and 75\/7828.\nAnswer: 78280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hllq when four letters picked without replacement from qqqqhlflqflqf?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 4*p + 3. Suppose 5*s - 32 = -4*v, -3*v + 18 = s - 8*v. Let o = p + s. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -4*d - 8. Let r(q) = -5*q - 9. Let y(g) = -g**2 - 3 + 2 + 21*g - 2*g + 13. Let t be y(9). Let a be (-2)\/17 - (-624)\/t. What is a*r(s) - 7*j(s)?\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s be 18 - (0 - (4 - 0)). Suppose -4*w + s = o, 5*o - w - 3 = 2. Let n(v) = -5*v + 1. Determine n(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 2*l. Let b(k) = 301343*k**2. What is b(t(v))?\nAnswer: 1205372*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -z**2 - 84*z - 1758. What is w(-46)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 70.7 + -69. Round k to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gfv when three letters picked without replacement from {g: 1, f: 1, v: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = k**4 + k**3 + k. Let i(g) = 10*g**4 + 5*g**3 - 7*g**2 + g. Let p = 0 + -3. Let a(v) = p*h(v) + i(v). Factor a(u).\nAnswer: u*(u - 1)*(u + 1)*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 131*i - 132*i = 23 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 1124, 1006, 810, 536, 184, -246?\n\"Answer: -39*x**2 - x + 1164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -33.5*-46.\nAnswer: 1541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = o**3 + 24*o**2 - 23*o + 10. Give u(-25).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1824 + 895. Let z = 1686 + w. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 1 + 2)*(18*t - 34 + 34)*(-26027 + 26027 - 437*t)*(2 + 2 - 2) in the form l*t**2 + g + m*t and give l.\nAnswer: -15732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = 916 - 750. What is the remainder when 178 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 36*c**2 - c - 1. Suppose -w = -0*v - 3*v + 12, -5*w + v = 4. Suppose 2*y + 2 = -w*y. Is a(y) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -218 divided by -1359?\nAnswer: 218\/1359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 125.77 to the nearest integer.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert -2932a0 (base 11) to base 4.\nAnswer: -1233313220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 9 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 91279766 to the power of 1\/3, to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1437478695?\nAnswer: 3, 5, 31943971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -4085.0735575 take away 195.6?\nAnswer: -4280.6735575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*i = -40 - 100. Solve -4*p - 7 = g, -g - i = 5*p - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 3*g = -17 - 383, -4*f + 1544 = 2*g. Let s = -260 + f. Let d = 130 - s. Solve -d - 1 = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 931964649.\nAnswer: 3, 7, 11, 19, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -47 (b) 425 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 94292 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.19 - -0.1899924. What is p rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4 + -5. Let t be 4 + s - 2*10. Let c = -12 - t. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 680 minutes after 5:27 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 1359064 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*f + 8, 4*f + 24 = 2*j. Let o be 1\/5 + 48\/10. Suppose 0 = -y + o*y - j. What is the lowest common multiple of 7 and y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) be the third derivative of z**6\/120 - z**5\/10 - 5*z**4\/24 - 11*z**3\/6 + 18*z**2. Let t be o(7). Solve t*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 37124347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2\/(-2) - (-1)\/(6\/8). Let f(v) be the second derivative of 0*v**3 - g*v**2 + 0 + 1\/18*v**4 - v. Let f(z) = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1\/(-5)*0\/39. Suppose 1\/3*p**2 - 1\/3*p**3 + v*p + 0 = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) be the first derivative of y**3\/3 + y**2\/2 - 5*y - 1. Let l(t) = t - 4. Let g be 2\/20*6*(0 - 5). What is g*l(v) + 2*i(v)?\nAnswer: 2*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Subtract -70797717.768 from -13.\nAnswer: 70797704.768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 301022002 (base 5) to base 4.\nAnswer: 10202102022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -355819, -711650, -1067469, -1423270, -1779047, -2134794, -2490505, -2846174?\nAnswer: -3201795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (6 - 12 - -2) + 0 + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + 1 + -2 + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3627\/4 + -906. What is the closest to 0.169 in 0.5, c, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -37\/10 and 19\/14280.\nAnswer: 14280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = b**3 - 5*b**2 - 6. Let i be l(7). Let s be (-9)\/(-3) + (9*i)\/(-2). What is the common denominator of (18\/24)\/((-54)\/s) and -39\/20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((sqrt(405) - (sqrt(405) + -3)*2)*1)**2*5 + -3.\nAnswer: -8823 + 2160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-64*m + 3 + 65*m + 0)*(-5*m + 3*m - m) to the form n*m + b + k*m**2 and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 82, 165, 248, 331?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 252 (base 6) to base 13\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 62, 239, 534, 947, 1478?\nAnswer: 2127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3\/4? (a) 362 (b) 2\/15 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = -66 - -109. Let g = 81 - n. Suppose -g = -3*l - 5. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1859 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 2 x when three letters picked without replacement from uuxutxuc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 2144984235 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0 + 1 - 421*p - p**2 + 373*p to the form a*p**2 + o*p + c and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -u**3 + 23*u**2 + 5*u - 97. Let l be f(23). Calculate the greatest common divisor of l and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l + 46 = 66 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*l**2\/7 - 204*l\/7 + 2145\/7.\nAnswer: 3*(l - 55)*(l - 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*z = -8*z + 18. Calculate the remainder when 16 is divided by 4\/z + 517\/99.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 126359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z + 147 = 495. Solve -2*b = -81 + z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 123\/(-132) - (2 + (-24)\/11). Sort i, 226, -0.3 in decreasing order.\nAnswer: 226, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2810?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h be -1 - -4 - (-114)\/(-6). Let t = h + 32. What is the remainder when 62 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/(-4))\/(2\/(-2))*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 4+0.1062935\nAnswer: 4.1062935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 493368?\nAnswer: 2, 3, 61, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/10)\/((-142)\/(-3550))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1216 and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 1276632507 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 231 + 555 = 43*r + 55 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1606053 + 4*x**2 + 1606053.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 2.1829245 take away 0.0593?\nAnswer: 2.1236245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 77 minutes before 8:55 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 63377292 at least 63377293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3289 + 10463 = 6*o. Suppose -1146 = -2*d - 4*b, -3*b = 4*d - 5*b - o. Does 26 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1011421423 (base 5) to base 7.\nAnswer: 23342230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = 187 + -93. Let m = k + -645\/7. Is 2 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 0 + (-2 + 12)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1113.663355 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = -8683 - -9115. What is the highest common divisor of h and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 35171 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -9*s + 5. Let z(x) = x - 1. Let n(h) = 3*h**3 + 4*h**3 + 1 - h**2 - h**3. Let w be n(-1). What is w*z(g) - v(g)?\nAnswer: 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Add -24 and -4749.\nAnswer: -4773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -269, -533, -795, -1055, -1313?\nAnswer: -1569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 252, 254, 256?\n\"Answer: 2*v + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange v**3 + 3*v**2 - 5*v**4 + v - 7*v**3 + 0*v - 48 + 47 + 5*v**3 to the form u*v**4 + x + n*v + r*v**3 + y*v**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 301567429.\nAnswer: 8779, 34351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qggubbusogus. Give prob of picking 1 s and 1 o.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of 1 and -144.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 2*k**2 - 5*k - 5. Let x(b) = 5*b**2 - 11*b - 11. What is 6*x(q) - 13*z(q)?\nAnswer: 4*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j = -0*j - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -q**3*s**3 + 9911833*q**3*s**2 - 527953*q**2*s**3 wrt q?\nAnswer: -6*s**3 + 59470998*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b be -3*(2 - 0) - (-252)\/28. Let g(h) = 498*h - 7. What is the hundreds digit of g(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 10 (b) -2\/3 (c) 0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3351981*w**5 + 13*w**2 + 8*w - 3195.\nAnswer: 201118860*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 63640\/1376*((-16)\/(-15))\/(10\/15)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m = 3*c + 438, -5*m + 1061 = -7*c + 8*c. Factor -1296*x**3 - 16*x**4 - m*x**4 - 4*x**5 + 85*x**4.\nAnswer: -4*x**3*(x + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:08 AM and 1:08 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2 + -1 - (-9)\/3. Let w be i\/15*5\/(-2). Which is smaller: -8 or w?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -149, 5, 0, -4, 6, 8 in descending order.\nAnswer: 8, 6, 5, 0, -3, -4, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 76, 135, 192, 247, 300, 351, 400?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 7*o**2 - 26*o - 6. Let s = 84 + -80. Let a be b(s). Solve 5*u = -a*u - 35 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 63, 16, -63, -174, -317, -492, -699?\n\"Answer: -16*m**2 + m + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4 and 18824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 26*p**3 + 239*p**2 + 51*p - 13. What is q(-9)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) be the third derivative of t**7\/735 - t**6\/60 + 2*t**5\/35 + 391*t**2 + t. Factor j(n).\nAnswer: 2*n**2*(n - 4)*(n - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -15, -9, 3, 21, 45, 75, 111?\n\"Answer: 3*b**2 - 3*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1796.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -3, -3\/43, -7\/3, 3, 2\/9, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (38\/285)\/(2\/165 - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6395846.\nAnswer: 2, 3197923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cooffooohcclomcf. Give prob of picking 1 c, 1 m, and 1 l.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -4600 = 389*x - 132*x + 7993 for x.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 265*h - 264*h - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 980118.\nAnswer: 2, 3, 17, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -50 (base 6) in base 16?\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 279 is divided by 36.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -3*i + 5. Let y be b(-6). Let v = -95\/4 + y. What is the closest to -1 in 2, 2\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -7 + -11835.\nAnswer: -11842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.043 - -3.957. Let o = 0.95 + -1. Let f = o + -0.25. What is the closest to 0 in f, 3\/4, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 75\/182 and 113\/156.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v + 5*v = 16*v. Let c = -6 - -8. Put v, 1, c in descending order.\nAnswer: c, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = s**3 - 7*s**2 - 5*s + 18. What is v(7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 - 1 - 2)*(-2*d - 3*d + d)*(2 - 3 + 2) + (0*d - d + 3*d)*(5 - 1 - 1) - 14*d + 10*d - 6*d in the form i*d + j and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) 5 (c) 25 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 63 + -45. Suppose 4*u - j = -6. Suppose -12 = u*s - 5*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 4000911 a multiple of 660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = r**2 - 23*r + 22. Let w be x(22). Solve 3*j + 0*j = w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -211 in -1, -0.5, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -d. Let o(l) = -175*l**2 - 2. Determine o(r(n)).\nAnswer: -175*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the second derivative of f**5\/5 + 2*f**3\/3 + 6*f. What is the second derivative of y(p) wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -365.7531438 and -1?\nAnswer: 365.7531438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 17*y + 2. Suppose -5*h - 2*u - u = -30, 5*u = 25. Is k(h) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-5*o - o + 0*o)*((5*o + 0*o - 3*o)*(-4*o + 3*o + 3*o) - 4*o**2 - 3*o**2 + 5*o**2) in the form m*o**3 + a + c*o**2 + l*o and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o*o**(-5\/3)*o)*o*(o\/o**(2\/13)*o*o)\/o)**(-43)*(o*o\/(o\/(o*o**0)))**(-7\/3)\/((((o\/(o*o**1)*o)\/o)\/o)\/(o**(-2\/3)\/o*o)) assuming o is positive.\nAnswer: o**(-2007\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -711, -1422, -2133, -2844?\nAnswer: -3555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (3\/(-2))\/((-84)\/28)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -2*o + 37. Let n(t) = -10*t + 148. Determine -2*n(c) + 9*u(c).\nAnswer: 2*c + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*g + 22*g + 2124 = 15*g - 222*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*h**3 - 2728402*h**2\/3 + 17248130*h + 1233556\/3 = 0.\nAnswer: -1\/42, 19, 32462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*z - o + 6 = -10, 4*o + 16 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 299, 290, 275, 254, 227?\n\"Answer: -3*u**2 + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bky when three letters picked without replacement from {k: 1, u: 2, y: 5, b: 3, o: 5}?\nAnswer: 1\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -342*q**2 + 250*q - 10. Let r(v) = 28 - 60 + v**2 + 34. Let y(i) = 5*r(i) + w(i). What is the second derivative of y(s) wrt s?\nAnswer: -674","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -2*n**2 - 12*n + 31. Let x be k(2). What is the smallest common multiple of 18 and (-2)\/(6955\/(-1157) - 6*x)?\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 370246640.\nAnswer: 2, 5, 23, 31, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z - 15463*v + 14 = -15461*v, -3*z + 2*v = 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -5 (base 16) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5 + 3. Let i be 9\/(-3)*4\/u. Suppose z - 4 + 2 = p, 17 = 4*z + 5*p. Solve 2*k = -2*h - i, h = 4*k - z*k + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12.7557656 rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -2 times 53225?\nAnswer: -106450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*d + 5*l - 6, -2*l + 5*l = -2*d + 4. Let i(p) = -3*p - 1. Let a be i(d). Solve -5*w + 3 = n, -w = -a*n + n + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 139 bigger than 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-141)\/611 - (17 + (-8261)\/(-143))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (3 + -1)\/(5\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/7? (a) -2\/9 (b) 17.7 (c) -5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand 9*t**2 - 9*t**2 + 3*t**3 + (t**2 + 0 + 0)*(-2*t + 0 + 0) + 0*t**3 + 0*t**3 - 2*t**3 + 3*t**3 + 3*t**3 - 3*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*z + 2*d + 7, -8 + 7 = z + d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 97993 is divided by 55?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -m**3 + 4*m**2 + 14*m - 5. Calculate b(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 7*w + 4. Let l(k) = -3*k - 2. Suppose 0 = 5*b - g + 25, b + 4 + 1 = -5*g. What is b*l(o) - 2*f(o)?\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -110001010000010 (base 2) in base 11?\nAnswer: -17a46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-4)\/26 - 445\/65. Sort y, -4, 5 in descending order.\nAnswer: 5, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 1, y: 12, q: 1}. Give prob of sequence ylq.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -5371 at least -5373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12 divided by -7212.\nAnswer: -1\/601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert -126 (base 16) to base 9.\nAnswer: -356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify y*y**(1\/15)*y**(-14) assuming y is positive.\nAnswer: y**(-194\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 13 - (-34 + (-3 - 0) + 18 + -10)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -97\/3 + 11. Suppose -j + 2 = 0, b + j = -3*j + 48. Calculate the common denominator of u and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2\/29 + 80\/319. Suppose w + 3 = 0, 4*m + w + 146 = -w. Let z = 143\/4 + m. What is the closest to 0.1 in z, -0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 147041787, 294083562, 441125335, 588167106, 735208875, 882250642, 1029292407?\nAnswer: 1176334170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 348 divide 61944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w be 385\/(-132)*2\/(-7). Let v(y) be the second derivative of y + 0 + w*y**3 + 1\/4*y**4 + y**2. Factor v(p).\nAnswer: (p + 1)*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m = 4*m + 20. Let r be (-10)\/(-5) + 11\/m. Let v be (-2)\/5 + (-64)\/(-110). Sort v, -1\/4, r in ascending order.\nAnswer: -1\/4, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4*k**3 + 2*k**3 + k**3 + (-12*k + 7 + 10*k + 3)*(-3*k**2 + 5 - 5) in the form w*k + g*k**3 + f*k**2 + i and give f.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand 1182*i - 597*i - 2 - 597*i - 3*i + 3*i - 2*i + (0*i + 0*i + 2*i)*(-1 + 1 + 2).\nAnswer: -10*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) -0.5 (b) 46.7 (c) -67.57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2)\/(-3)*(7 - 4). Let d(r) = -r**2 + 4*r + v - 4*r. Let x be d(0). Solve -x*b + 0*t + 6 = -4*t, 3*b = -3*t for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - 65 = 29. Let x = 51 + p. Solve 5*d - 2*t + 4*t + x = 0, -3*t = -3*d - 15 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 80816046 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i + 121 = 7*i + 8*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) be the first derivative of -r**6\/36 + r**5\/15 + r**4\/12 - 4*r**3\/9 + 7*r**2\/12 - r\/3 + 27. What is d in k(d) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3222 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 69 = r - 35, -2*o + 2*r + 116 = 0. Let d(b) = 97*b**3 - 2*b**2 + 3*b + 1. What is the least common multiple of o and d(1)?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 4*g = -38, 4*a - 2*g - 2*g = -52. Sort 5\/3, 0.3, a in increasing order.\nAnswer: a, 0.3, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 118352 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - (-36 + -47 + 112)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-18)\/7 + 8 - (-12)\/(-28). Solve 3*p = -k*h - p + 25, 2*h + 23 = 5*p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3 - 5 + 1)*(-240326348 - 1523*j + 240326348) in the form v*j + d and give v.\nAnswer: 1523","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Calculate (-6)\/(-88)*(-660)\/(-360).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = 2*x - 3*w, -x = -4*x - 4*w - 21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 - (1 - 3) - (1 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q + a + 6 = 19, 5*a = q - 23. Suppose -7*d - 111 = -q*d. What is the remainder when d is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 194.0988 + -189.1. Let r = -4.8 - 0.2. Let t = i + r. Round t to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/189*-19*93\/1178?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5257, -5257, -5259, -5263?\nAnswer: -5269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 98 - 6*z + 4*z + z - 2*z**3 - 4*z**3 wrt z?\nAnswer: -18*z**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15833 is divided by 47.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 4*u - 2. List the prime factors of v(10).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 77089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.342 + 0.642. Sort 4, u, -9 in descending order.\nAnswer: 4, u, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -6\/98809829 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1158380.\nAnswer: 2, 5, 17, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1686037\/17 - 99207. Let m = -3163\/51 - y. Is -33 <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2625.73 - 0.01.\nAnswer: -2625.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3695807.\nAnswer: 43, 61, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 9, x: 11}. What is prob of picking 2 x?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c = 232 + -173. Suppose -c*z = -52*z - 35. What is the highest common divisor of z and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1041.38 + 1041.2200032. Let w = p + 0.16. What is w rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 12 - -16. Let q = i - 15. Let a = q + -2. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**1)**2\/(m**(2\/5)*m)**(-26\/3) assuming m is positive.\nAnswer: m**(212\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*c + 112 = 128 + 68 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sssssshhhssssshshsss. What is prob of sequence shhh?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.17 and 1597172.\nAnswer: 1597172.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 - (6 + 0 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = l**2 - 3*l + 1. Let v be u(3). Let r be v\/5*(-1 + -2). Let p = -2 + 1. Sort p, r, -4\/3 in descending order.\nAnswer: r, p, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -1417284, -2834570, -4251856?\n\"Answer: -1417286*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -199*b - 1426. What is q(-7)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -311 divided by 8610?\nAnswer: -311\/8610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwiii.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = 2*h + 2 - 2*h + 1 + 5*h. Let o(w) = -1. Calculate -g(y) - 3*o(y).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.5, -0.062, 1529?\nAnswer: 1529","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -602*x + 4803. What is z(8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rh when two letters picked without replacement from hhharahahhhhha?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.2167 and -0.2?\nAnswer: 0.0167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1\/7 (b) 0.434 (c) 0.07 (d) 0 (e) -9 (f) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 91*o - 13. Calculate n(-2).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0238738 decades in centuries?\nAnswer: 0.00238738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-4)\/(-24) + 11\/(-34). Let g = 148\/357 - o. Sort g, 3, 2\/3 in increasing order.\nAnswer: g, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 82 is divided by ((-10)\/12*-20)\/(68\/102)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 9387 - 5969. What are the prime factors of c?\nAnswer: 2, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -226767 not equal to -226758?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4 - 0. Suppose 0*l = 3*l + 4*j + 32, -m*j = -3*l + 8. Let v = -2 - -2.2. Put -1\/7, v, l in decreasing order.\nAnswer: v, -1\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 14 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 17071372 divided by 6?\nAnswer: 8535686\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-33)\/55 + 6\/10)\/2. Solve -r + 3 = -o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1, -54582, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d = o - 2746, 5*d + 5477 = -o + 3*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x = x - 6. Suppose -x*m + 7*m + 3*p = -20, -m - 10 = 2*p. What is the tens digit of (-1 - m)\/((-5)\/(-50))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = q - 1. Let j(f) = -5 + 10*f - 2*f + 26231*f**2 - 26226*f**2. Calculate j(x) - 6*y(x).\nAnswer: 5*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -83310 - 2a?\nAnswer: -8333a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.086 + -0.228. Let k = 0.141931 + l. Round k to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -12, -5, -0.3, -3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2246088 or -2246089?\nAnswer: -2246088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 277375 and 3170.\nAnswer: 1585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -16768 - -16772. Let k(n) = -n**2 - 9*n - 7. Let d be k(-7). Solve 3*t + 2*t = -2*v + 7, -3*t - d = m*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 2*j**3 + 11*j**2 + 7*j - 8. Let f be l(-4). Let g be (16\/f)\/((-70)\/(-15)). Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v = 2*v. Suppose v = 3*f - 0*f. Suppose a + a - 156 = f. Is a a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*c + 21 = 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 319 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-b**3 - 3*b**3 + 5*b**3)*(3 + 0 - 4)*(46 - 15 - 12)*(-2 - 4 + 3).\nAnswer: 57*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is (-49757)\/(-17) - ((-117)\/(-17) - 7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -161 (b) 622 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3 + -2. Let j = -0.01 - -0.04. Let s = 3.03 - j. Put s, d, -0.3 in increasing order.\nAnswer: -0.3, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2784*v + 7 - 1390*v - 1382*v + 3*v**2.\nAnswer: 3*v**2 + 12*v + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d + 2*i + 17 = i, 2*d + 4*i + 26 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5 + 0 + 0*r**2 + 27*r**2.\nAnswer: 27*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2\/11 (b) 2 (c) 101 (d) 5\/92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 461871 is divided by 65965?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i be 5\/(-4)*20\/1. Let l = 42 + i. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -3 - 4*o - o + o**2 + 3*o. Let r be v(-2). Let x(f) = 1252*f + 7508. Let z be x(-6). Sort r, 3, z, -3.\nAnswer: z, -3, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5172653*i**5 + i + 23150626 wrt i?\nAnswer: 103453060*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.13432 + 1718.16568. Let y = z + -1586. Let p = 139 - y. Round p to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1222 (base 3) in base 10?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -174*l + 689*l - 170*l - 175*l - 167*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/5 of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + 4*(sqrt(98) + 1))*-2 + -3.\nAnswer: -56*sqrt(2) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1834134a + -2?\nAnswer: -18341351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rl when two letters picked without replacement from myyyyiiiiryly?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 = -2*o - 3*o. Find the first derivative of -33 - 1 + o - 5*s**2 - s + 10 wrt s.\nAnswer: -10*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 15817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:48 PM and 5:54 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -7293883 less than 124?\nAnswer: 7294007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 12474, 12480, 12498, 12534, 12594, 12684, 12810, 12978?\n\"Answer: a**3 - a + 12474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 87508678.\nAnswer: 2, 41, 1067179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -2404, -2503, -2688, -3001, -3484, -4179, -5128, -6373?\n\"Answer: -7*q**3 - q**2 - 47*q - 2349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 3, t: 17}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7199 is divided by 1235.\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 314*o - 319*o + 3*s + 7 = 0, -4*s = 5*o - 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fssi when four letters picked without replacement from ffisffsfifififiiff.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 661 minutes before 7:12 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = -31 - -33. Let j(s) = 3*s + 2. Let h be j(-2). Is o at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 24 and 4668.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 3*r**2 - 20*r - 6. Let z(h) = -h**2 + 7*h + 2. Calculate 6*c(u) + 17*z(u).\nAnswer: u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 85*i + 11527. What are the prime factors of x(-120)?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11 + -5 - (-2 + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 19140347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**6\/(h**(-1\/4)\/h))\/(h**(-7)\/(h**(3\/16)*h)) assuming h is positive.\nAnswer: h**(247\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b be (2\/(-4))\/((-2)\/20). Let z(d) = -6*d**3 + 5*d**2 - 5. Suppose 6*h = 3*h - 12. Let k(p) = -5*p**3 + 4*p**2 - 4. Calculate b*k(s) + h*z(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) be the first derivative of s**2\/2 + 23*s - 66. What is u(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - c + 3 + (-4 + 3 - 1)*(2*c + c + c))*(34*c + 13*c + 6*c).\nAnswer: -477*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -z**2. Suppose -a - 21 = -0*a. Let p(i) = i. Let x(m) = 4*m - 2*m + 7*m. Let b(o) = a*p(o) + 2*x(o). What is u(b(g))?\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sllkfsllllllkoll. Give prob of sequence slf.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*z = -3*z + 16. Let m be 7 + (3\/z)\/(9\/12). What is the tens digit of (10\/m - 3) + 67?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 5\/(-2)*72\/(-12). What is the greatest common divisor of 75 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.1 and -42355128.\nAnswer: 4235512.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = -202743\/20 + 10134. Calculate the common denominator of x and 23\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 50\/130*2\/(-5). Which is the nearest to -1? (a) 2 (b) m (c) -5\/2 (d) 2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -11*s - 221. Let u(x) = 2*x. What is u(y(m))?\nAnswer: -22*m - 442","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -51 = -o - 56 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 132700 divided by -5.\nAnswer: -26540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - h = 0. Let n = -417 - -420. Is n < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -t**3 + 15*t**2 - 13*t - 15. Let y be c(14). Let r be 3\/(3*y\/(-10)). Suppose 6*d - r = 80. What is the remainder when 74 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s = 2*i - 12, 4*i + 3 = -5. Suppose -3*x = -0*x - 15. Suppose 0 = x*b + 5*q, 0 = 5*q - q + 12. Put -3, b, s in increasing order.\nAnswer: s, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2217 - -2233. Sort 0, o, -8\/3 in ascending order.\nAnswer: -8\/3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p and 2 d when four letters picked without replacement from pvddpvdqq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -95960 in 0.1, 1, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 223675854?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5728.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -87*f**4 + 25*f**3 + 207*f**2 + 1147*f - 1425.\nAnswer: -1044*f**2 + 150*f + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 5963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10437926?\nAnswer: 2, 53, 59, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h = 5*l - 10*l + 35, -3*h - l + 13 = 0. Let z = h - 2. Suppose -w + 28 = 3*w. Calculate the smallest common multiple of z and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 3, 5, 0, -93 in decreasing order.\nAnswer: 5, 3, 0, -2, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n**2 - 2845560*n + 2845557 = 0. What is n?\nAnswer: 1, 948519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 633 != 635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 80153153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 53, -39, 3, 91 in decreasing order.\nAnswer: 91, 53, 4, 3, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -4930 = -264*c + 3518 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3 - 6. Let y = 583.18 + -581.18. Which is the second smallest value? (a) y (b) g (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*k - 113*k - 1790 - 270 = 0 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (496\/744)\/((-7)\/(-252))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 910*f**2 - 139*f**2 + 1914*f**2 in the form d*f + s*f**2 + u and give s.\nAnswer: 2685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1 + -55b6843b?\nAnswer: -55b6843a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 34897785?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -7*t**2 - t + 3. Let d(s) = -6*s**2 + 3. Let v(k) = 6*d(k) - 5*y(k). Let x be v(5). Solve -i - x = -2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 377107?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 8*c**2 + c. Let h be r(1). Suppose 29 - h = 5*s. Solve -s = 4*g - 24 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*a - 4*a + 6*a)*(14*a**2 + 5*a - 617 + 617 + (0 + 0 + 1)*(-a**2 - a + a)) to the form s*a**2 + k*a + y*a**3 + f and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find a such that -3\/4*a**2 + 1\/4*a**4 + 1\/2*a**3 + 1 - a = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -320 - -320. Suppose m = -17*b + 6*b + 44. Solve b*s + k = 10, 2*s + 3*k - 8 = 4*k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -410, -0.4, -1\/9?\nAnswer: -410","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -v**3 - 39*v**2 - 41*v - 71. Let x be a(-38). Suppose b + x - 44 = k, 4*b + 2*k - 22 = 0. Solve b + 1 = 5*l + g, 2*l = g + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -3*v - 7. Let x = 64 - 58. What is the least common multiple of x and l(-6)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.11 - -0.01. Let k(t) = -6 + 7*t**2 - 6 + 1 + 1 - t**3 + t. Let f be k(7). What is the closest to l in 0.4, -2\/3, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-10 - -10)*(-2)\/8. What is the nearest to s in 0.2, -26\/3, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3056\/9 + 21146\/63. Let t = 32\/7 + u. Let g = -107 + 110. Which is the second smallest value? (a) -0.4 (b) g (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 12.5092 and -11.\nAnswer: -137.6012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -103336 times -0.084?\nAnswer: 8680.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13298?\nAnswer: 2, 61, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 5249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 802, 1527, 2134, 2635, 3042, 3367, 3622?\n\"Answer: 2*d**3 - 71*d**2 + 924*d - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4.942 + 0.058. Put 0, 2, i, -1\/19 in decreasing order.\nAnswer: i, 2, 0, -1\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -727067 (base 8) to base 3.\nAnswer: -110020212121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, -22, -4, -1, 8, -2.\nAnswer: -22, -4, -2, -1, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1811 and 72.\nAnswer: 130392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -3841 bigger than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find m such that -m**4\/3 - 985097*m**3 + 156636041*m**2 - 24905428273*m\/3 + 146666176550 = 0.\nAnswer: -2955450, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 113 and 18871?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1699544475?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lpislslsllsmskm. What is prob of picking 2 l and 1 m?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4044 + 4044.09. Which is the closest to t? (a) -3 (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1593505?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-20)\/(-3)*(-6)\/(-5). Let s = t + -3. Let p = s - 3. 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 prob of sequence aac when three letters picked without replacement from {z: 3, c: 3, a: 3, d: 4}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -33, -267, -927, -2235, -4413, -7683, -12267?\n\"Answer: -37*g**3 + 9*g**2 - 2*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -2*w - 4. Let o be k(-6). Let b(s) = s + 16. What is the units digit of b(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 725 is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.1 and -0.08647?\nAnswer: -0.008647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -35.2, -2.8, 6\/43, -3.8, 3\/2, 2?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 16*r**2 - r - 17. What is f(-5)?\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {u: 6, c: 4, i: 1, t: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 9*y**3 + 2*y**2 + 8*y + 7. Let m(q) = -6*q**3 - q**2 - 5*q - 5. What is 8*m(v) + 5*r(v)?\nAnswer: -3*v**3 + 2*v**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -208*f - 1 - 9*f**2 - 306*f - 246*f + 514*f.\nAnswer: -9*f**2 - 246*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5 + -9. Let f be h\/((-56)\/(-50)) - -3. Which is the second smallest value? (a) 4 (b) f (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1824885 divided by 17055?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w**2 - 6*w - 3. Let q be s(-4). Suppose -4*c + 56 = q*i, 2*c - 9 = -i - c. What is the lowest common multiple of i and 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -2*((-8)\/24)\/(6\/9). Let d(i) = 19*i**2 + 3*i - 14. Let g(q) = q. Let p(y) = k*g(y) - d(y). Find the second derivative of p(o) wrt o.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = x**3 - 5*x**2 + 5*x + 4. Let g = -62 + 66. Let a be y(g). What is the highest common divisor of a and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 755, 2040, 4163, 7112, 10875, 15440, 20795, 26928?\n\"Answer: -2*r**3 + 431*r**2 + 6*r + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 11961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18444 divided by -4611.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7803*1212.\nAnswer: 9457236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of s**4*v**3 - 258*s**2*v**3 + 2*s**2*v + 32*s*v + 24*v**3 wrt s.\nAnswer: 12*s**2*v**3 - 516*v**3 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-one quarters of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -52*h - 71. Calculate z(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 121\/2 - 61. What is the closest to c in 0.1, -2, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 41489 - 0.014\nAnswer: 41488.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 41\/2 of a centimeter in millimeters?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 252 and 116502372?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-26)\/52 - (-1)\/6. Suppose -4*c = -11 - 5. What is the nearest to f in 1\/2, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wpw when three letters picked without replacement from {p: 1, s: 9, w: 10}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = 5586 + -5589. Let y = -1 - -1.4. Let o = y + 2.6. Sort o, g, -0.3 in ascending order.\nAnswer: g, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -1501 divided by 1089\nAnswer: -1501\/1089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 + (11 - (-6 - -20)) + 5 + -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -5.5, -21, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -177 (b) 2 (c) -3\/2 (d) 4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (sqrt(272) - (-1 + sqrt(272))) - (sqrt(272) - (-1 + (-4*sqrt(272) - sqrt(272))))**2.\nAnswer: -9791 - 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 246045 and 344463?\nAnswer: 1722315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 258 a factor of 662650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2.31 - -0.69. Sort n, -0.07, 0.2 in decreasing order.\nAnswer: n, 0.2, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 4*h**2 + h + 4. Let j(v) = v - 2. Let o be j(5). What is the tens digit of z(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 2124738\/13034 + -119 + -44\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -187*d + 2. Let g(a) = -206*a + 1. Let m(j) = g(j) - o(j). Let w(p) = 102*p. Give m(w(n)).\nAnswer: -1938*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 12 = -0*k - 2*k, 20 = k - 4*d. Suppose -j + k = -3. Suppose 2*a = -3*a + 60. What is the remainder when a is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 43827.81 - -5535.4\nAnswer: 49363.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -121\/25540 and 85\/32.\nAnswer: 204320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) be the first derivative of -2*i**2 + 1 - 29 - 4*i**2 + 3*i**2. Give l(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 4 = -9. Let j = d + 15. Suppose j*c = 29 + 31. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 32 divide 2240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 196*h**2*r**3 + 10593*h**2*r**2 + 57566541*h**2 wrt r.\nAnswer: 588*h**2*r**2 + 21186*h**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = x**3 - 99*x**2 + 4878*x - 578337. Calculate b(105).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(-1\/4)\/u)**(-19)\/((((u**(-6)\/u)\/u)\/u)\/(u\/u**(1\/5))))\/(u*u**(-2)*u\/(u\/u**1*u)*u\/(u*u**(1\/3)*u)*(u*u**(-6))\/u) assuming u is positive.\nAnswer: u**(2513\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 788*c + 2 = 782*c - 16. Sort -1131, 3, c in decreasing order.\nAnswer: 3, c, -1131","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = -3*z + 2*x, -137 + 136 = 5*z - 2*x for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s be (3*6)\/3 + -3 - 3. Suppose 0 + 4 = 2*h, -2*c - h - 280 = s. Round c to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n = -9, -1753*r - 6 = -1752*r + 2*n. Suppose -b + 3 = -1. Suppose b*j - 475 = -r*z - 5*z, 0 = 3*j - 5*z - 365. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u*u**5\/u)\/((u\/u**(-4))\/u*u*u))**(4\/9) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 4508*r - 4512*r = -300, 5*y - r - 1626 = 0. What is the least common multiple of y and 62?\nAnswer: 10044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -277408095 divided by -10085?\nAnswer: 27507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3\/7? (a) 24\/5 (b) -3\/10 (c) 14 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -1110140 (base 5) to base 9\nAnswer: -28567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(76)*1 + sqrt(76))*1 - -5*(sqrt(76) + sqrt(76) + sqrt(76)*-2 - sqrt(76)))\/(1*(sqrt(100) + sqrt(100)*-2)) + 5.\nAnswer: 3*sqrt(19)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -221 - 276 - 2*d + 3*d + 574.\nAnswer: d + 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 539, 545, 553, 563, 575, 589?\n\"Answer: g**2 + 3*g + 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.31 - -6137.\nAnswer: 6137.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = z + 5. Let m be b(-8). Let o = m + 3. Let j = -27253 + 27250. Put j, 1, o in descending order.\nAnswer: 1, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -w**3 + 3*w**2 + 10*w + 35. Let m be z(-4). Suppose -2*y = -5*b + 85 - 281, 2*b - m = -y. List the prime factors of y.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 6 - (-1 - -3 - -1). Suppose -3 = -3*p, -b*p - 9 = 4*x - 8*p. Is x at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 13 - 130135201?\nAnswer: -130135144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -6.516 times -28\nAnswer: 182.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ooesesvvpvppssovppe. What is prob of picking 1 v, 1 o, and 1 e?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 420 + -505?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*b + 15 = -5*y, 85*y = 88*y + 3*b + 21 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 424 + 12034111?\nAnswer: 12040040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {p: 3, r: 8}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1142*n + 8 - 8.\nAnswer: 1142*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(504))\/(sqrt(567)\/sqrt(9)).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4 + -4. Suppose -2*y + 3*y + 792 = r. Calculate the common denominator of (y\/(-16))\/(-7 - 0) and -89\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) be the first derivative of 14*h**6\/3 + 3816*h**5\/5 + 30673*h**4 - 167432*h**3 + 129080*h**2 + 117600*h + 3994. Find c such that t(c) = 0.\nAnswer: -70, -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 5*v)*(-2 + 6 - 3)*(-3*v + 2*v - 4*v - 3 - 2*v + 3 + (v + 0 + 0)*(-7 + 3 + 2)).\nAnswer: 45*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -172*k**2 + 10*k - 1. Determine b(2).\nAnswer: -669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 279012 is divided by 62.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert -22110020122 (base 3) to base 13.\nAnswer: -5a974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 187842127*y**3 - 4620*y + 19704 wrt y?\nAnswer: 1127052762*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 5*r**3 - 191*r**2 + 1772*r - 74. Calculate a(16).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -f**3 + 6*f**2 - 15*f + 42. What is the lowest common multiple of 396 and i(3)?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (134\/(-8))\/(57 + -53) and -27\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -181 + 282. Let u = s - 28. Is 21 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -979.22 from -273483.\nAnswer: -272503.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 79647769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 61*w - 2318. What is j(38)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -405*-20.33.\nAnswer: 8233.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7\/35)\/((6\/40)\/(19\/76)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 divided by 6533766.\nAnswer: -1\/3266883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (14\/10)\/(-4 - 52\/(-12)) and -51\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/5, 3\/5, 4, -242, -5 in decreasing order.\nAnswer: 4, 3\/5, -2\/5, -5, -242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -3388*74\nAnswer: -250712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 181546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -31*w + 54*w + 5 + 69*w + 66*w + 32*w.\nAnswer: 190*w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + 51 + (-81 + 260 - 180).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1*(-13)\/6*3*2\/(-4)*8\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (3\/(-108))\/(14\/(-126))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 3*z**2 + 4*z + 2. Let i(w) = 16*w**2 + 22*w + 11. Let t(b) = -6*i(b) + 33*n(b). Let c(d) = -46*d**2. What is c(t(f))?\nAnswer: -414*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of -260 and -0.3.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 274512857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*s**3 - 3*s**2 - 6*s.\nAnswer: 3*s*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 182*u - 1394*u - 41208 for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in 6693.8, 2\/17, -1\/7, -1\/4, 0.1, -3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 217*a + 14 + 47 + 2. Let y(t) = -7*t - 2. Calculate -2*k(x) - 63*y(x).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Product of -120.34 and 0.1.\nAnswer: -12.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 78533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 6.828751nm?\nAnswer: 0.0000006828751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 1 + 1)*(-1 - 6*r**5 + 10*r**4 - 10*r**4).\nAnswer: -12*r**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 7.054343 years in months?\nAnswer: 84.652116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 3*o + 205. Let n(k) = 6*k + 369. Let f(z) = 5*n(z) - 9*w(z). Let m(b) = 1985*b. Determine f(m(u)).\nAnswer: 5955*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 143 a factor of 23061319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/1*-1)\/(4 - (-660)\/(-150))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 15 and 438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - 12 - -9 - (-1 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 1 + -27a0?\nAnswer: -279a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -46*h**3 - 1256 + 1256.\nAnswer: -46*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -2*l - 2*l. Let d = 37.1 - 35.1. Which is the closest to 1? (a) 4 (b) d (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -j + 5 = 2*z, -z + 3*j = 4*z - 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 119*t + 1. Let y(p) = -2*p**2. Determine i(y(j)).\nAnswer: -238*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o = 746 + -1250. Let w = 504.1 + o. What is the third biggest value in -34, -2\/15, w, -0.1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hchc when four letters picked without replacement from {c: 7, h: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -133*o + 234?\nAnswer: -133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -2 times -494.26?\nAnswer: 988.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u be (3\/5)\/((-45)\/1575). Suppose 2*g - 2*z = 76, -73 - 44 = -4*g - 3*z. Calculate the remainder when g is divided by u\/(-14)*42\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p + 3*m = -0*m + 9, 5*p - 2*m - 17 = 0. Let a(c) = 3 - 10*c + 3*c - 70 - 3. Let h be a(-10). Solve -2*o + o + p = h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*r - r - 3*i + 32, -4*i = -16. Find the second derivative of 4*g**r - g**4 - g**2 - 3*g + g**2 wrt g.\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*w**2 + 2*w**3 - 7*w - 1 + 5*w - 3*w**3 - 2*w**3 - 2*w**4 in the form k*w**2 + v + i*w**4 + m*w**3 + s*w and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = -22 + 29. Let s be (o\/(-14))\/(1\/(-2)). Let g = -3 + 3.2. Which is the closest to -2? (a) g (b) -0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 5\/((-10)\/(-1))*-2. Let d = 3 + -3. Which is the closest to 2\/9? (a) v (b) -1\/4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 74*v - 82*v + 8. Solve 0 = d - 6*o + 3*o - v, -d = -2*o - 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = l**3 + 17*l**2 + 14*l + 16. Let j be r(-15). Suppose -616 = -8*b + j. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -280 by 40.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3.099 + -0.099. Which is the nearest to 1? (a) 1.8 (b) 1.4 (c) n (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -1, -29, -79, -151, -245, -361, -499?\n\"Answer: -11*p**2 + 5*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 15769373474 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -4 - 5 - (-2 + -2 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-1)\/3 - (-63)\/27)*1. Suppose -n + 19 = i*u, 3*n = -3*u - u + 41. Solve -8 = 4*v + u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) be the third derivative of -a**9\/272160 + a**8\/45360 + 2*a**5\/15 - 48*a**2. Let l(j) be the third derivative of i(j). Factor l(m).\nAnswer: -2*m**2*(m - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-62)\/4*(-2 - -4). Let a = i - -55. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -5*x**2 + 4*x + 1. Let p be k(-2). Let f(n) = -6*n - 6. Let z be f(6). Let a = p - z. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 5*p + 39992 = 0, 3*k + 3*p - 39936 = -0*p. Is 98 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.3 + 5.3. Let u = 72.6 - 73. Let v be 7\/(-105) - 3\/5. Which is the biggest value? (a) u (b) i (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 3, v: 3, b: 2}. Give prob of sequence dd.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 0*w + 226 = -4*s, -4*w - 4*s = 892. What is w rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 204084 is divided by 51020.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 22 and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**0)**(-34\/7)*(o**1\/o)**(8\/7) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = -30 - -326. Suppose -2*d = -0*j - 4*j - 150, 0 = -4*d + 4*j + v. Let h = d + -50. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*((sqrt(143) - (1*sqrt(143) + sqrt(143))) + sqrt(143)))\/sqrt(11) - (sqrt(208)*-3 + 3).\nAnswer: -3 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) 6.6 (b) 0.3 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1061.3 + 1062. What is the nearest to 3 in -4, u, 9\/4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 4 + 87433018?\nAnswer: 87433023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -738535\/164 or -4504?\nAnswer: -738535\/164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 6*w**2 - 12*w + 4. Let m(l) = 5*l + 24. Let o be m(0). Let g = o + -18. Let y(t) = -5*t**2 + 11*t - 4. Let f(z) = g*d(z) + 7*y(z). Calculate f(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -5*w + 4, 5*f - 5*w - 85 = 0. Let d = f + -8. Let b = 27 - d. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = v - 0*h - 15, -h = 5*v - 27. Suppose 0 = -v*x + 4*n + 83, -46 + 10 = -2*x + 3*n. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -b**2 + 0*b**2 + 0*b**2 + b**2 - 5*b + b + 2 + 5*b + (b + 3*b - 5*b)*(-5*b + 5*b - 2*b) in the form t*b**2 + y*b + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) be the first derivative of 2*k**3\/3 + 5*k**2\/2 - k + 33. Determine d(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9650 + 0*z + 8603 - 2*z.\nAnswer: -2*z - 1047","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - (-3 + 0)) + 3 - 2 - -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-18)\/6*6\/18*5. Let r be -2*(-1 + 68\/(-8)). Let c = -16 + r. What is the nearest to 2 in c, 2\/13, s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) be the second derivative of -1\/6*b**3 + 27\/2*b**2 + 1\/12*b**4 + 5*b - 1\/20*b**5 + 0. Calculate p(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -522 less than -31081.5?\nAnswer: -30559.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x = -15202 + 15207. Put x, -5, 0, -16, -6 in ascending order.\nAnswer: -16, -6, -5, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 209050120 divided by 54088\nAnswer: 3865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1102 + -33?\nAnswer: -1135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 98 a factor of 34055201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 15 smaller than -477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = u**2 + 2*u. Let h(y) = -6*y**2 - 10*y. Let x(d) = -3*h(d) - 16*k(d). Solve x(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -17, 1, -25, 4 in descending order.\nAnswer: 4, 1, -3, -17, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -0.7432 to two decimal places.\nAnswer: -0.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1 - 3. Let y(m) = m**3 + m**2 - 3*m - 3. Let o be y(q). Let i = 0 - o. Which is smaller: -2\/35 or i?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = t - 5. Let k(j) = j - 6. Let z(g) = 5*k(g) - 6*u(g). Suppose v - 42 = -2*v. Let h be 4\/3 + v\/21. Calculate z(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) be the third derivative of d**8\/14 - 5*d**4\/24 + 28*d**2. What is the second derivative of s(t) wrt t?\nAnswer: 480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 47131206 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 120579010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of 18 and -89935.\nAnswer: -1618830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -14313046 divided by 1301186?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 587037743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = 7\/8 + 51\/8. Let h = 765 - 437. What is the common denominator of u and 1\/(28\/h) + -4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2\/(-8)*-8 + 1*2. Suppose -b = -7*d + 10. Let w be ((-2)\/2 - -1)\/1. Solve -t = -w + d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/(-8)*(-24*3\/504)\/(2\/(-32)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13781 is divided by 170?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3 - -3. Suppose 4*f = 3*f - 4. Sort f, w, 1 in descending order.\nAnswer: 1, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 270 and -0.5.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -21.314649 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6403, -6400, -6387, -6358, -6307?\nAnswer: -6228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2888 + -2875. Let b(r) = 20 + 4*r - 4*r - r - 2. Calculate b(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -5*l. Let h be (18\/(-27))\/(2\/210). Let x be 7\/(h\/(-4))*-25. Let d = 15 + x. Let n(a) = -6*a. What is d*r(j) - 4*n(j)?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) be the first derivative of -q**5\/20 - q**2 + 1. Let x(f) be the second derivative of h(f). Let i(n) = -2*n**2. Determine x(i(s)).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/(-16))\/(5 + (-136)\/32).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-5)\/50)\/(2\/8)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 106296 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 3, 5, -655, 9.\nAnswer: -655, -1, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -12, 4, -0.7, -0.5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -b**2 + b - 1. Let x(t) = 4*t**2 - 7*t + 7. Give 35*u(c) + 5*x(c).\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s be (1 - (-28)\/(-20))*-145. Let y = s + -32. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23533 is divided by 500.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -13*j - 12. Let t be p(-9). Suppose 6 = -3*h + t. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f - 428 = -4*y, 8*y - 3*y - 4*f - 535 = 0. What is the remainder when 319 is divided by y?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2888 and 33896.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -834\/14849 - 4\/479. Let w be (-2)\/(-2) + 84\/(-36). What is the nearest to z in -2\/5, -0.2, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 554 and 48?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (296*n**3 + 576*n**3 + 2140*n**3)*(-n - 1 + 1)*(-2 + 6 - 3).\nAnswer: -3012*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*f = -13*f + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*g + 4*g - 7*g)*(-6 + 3 + 5)*(-8*g + 23*g + 12*g).\nAnswer: 54*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 + 2 = j. Suppose 3*s = -2*c - 0*s + 3, 0 = j*c + 3*s - 3. Put -3, -5, c in ascending order.\nAnswer: -5, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 10 and 68.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*p - 66 = -11*p. Suppose 5*u - 1360 = -5*t, -2*t + 0*t + p*u + 569 = 0. What are the prime factors of t?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 7*2\/5*(-1555)\/(-144). Let f = -19195 + 153303\/8. Let u = k + f. Find the common denominator of u and -127\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -4323521 (base 8) to base 7.\nAnswer: -12556006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45*u - 47*u = -704. What is the greatest common factor of u and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0 - 0. Let y be -1*2 + -2 + 4. Is y smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 108*p. Let g(z) = 3*z + 2. Let v(n) = -13*n - 9. Let c(f) = -18*g(f) - 4*v(f). Determine r(c(i)).\nAnswer: -216*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = -10586\/7 - -1509. Calculate the common denominator of -77\/75 and s.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -857*x - 1715. Determine m(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 0*m**2 + m**3 + 3*m**2 + 3*m**2 - 2*m**2 + 1. Calculate the least common multiple of g(-3) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 829315 and 987?\nAnswer: 17415615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = 413 + -327. Let l = i + -323. Are -237 and l unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1925 is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 394 (base 14) to base 9.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.09, -6370, 4\/9, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = 5*i + 24, -k - 2*i = 2*i + 3. Suppose -8*v + 5*n = -k*v + 184, 3*n = 3*v - 642. List the prime factors of v.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-2 - (-48)\/(-14)) + ((-3075)\/175 - -18). Put -0.2932, 2, q, 4 in ascending order.\nAnswer: q, -0.2932, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 96 - 93. Solve -2*n = -n + y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1.1 + 0.8. Let f = 973 - 973.2995. Let v = f - i. Round v to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 15272787*z**2 - 62*z + 29231?\nAnswer: 30545574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - 30 = 3*z. Let d(n) = -1. Suppose 5*o + 17 = 4*q, -9 = 6*q - 9*q. Let i(a) = 2*a**3 + a**2 + 4. Calculate o*i(f) + z*d(f).\nAnswer: -2*f**3 - f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1374772.\nAnswer: 2, 7, 37, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y be (3\/3*0)\/2. Is 21 a factor of y - 2 - (-40 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*v**2\/9 + 1300*v\/9 - 434\/3.\nAnswer: 2*(v - 1)*(v + 651)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 9 = 2*i. Let w be 3\/2 + (-5)\/i. Which is the third biggest value? (a) 4 (b) -0.05 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 73536 equal to 73535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.027 - -1.973. What is the nearest to 2\/9 in 0, m, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -2*y**3 - 17*y**2 + 14*y - 7. Let m be o(-13). Suppose -f + 4*a = -666, 2*f + 2*a = 4*f - m. Let x = 211 + f. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 31721391*j**3*x**2 - 1532*j**2*x**2 - 1131*x**2 wrt j?\nAnswer: 190328346*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 31781707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Calculate 1.9139*18.\nAnswer: 34.4502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7*d**2 - 407*d + 203*d + 227*d - 65 + 23 to m*d**2 + r + n*d and give r.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -69*p + p + 5*p + 2 + 32*p.\nAnswer: -31*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -104 - ((-49 - -61) + -38 + 9 + 1)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 3352350*l**4 - 6676422?\nAnswer: 13409400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -256 divided by 8?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-2\/11)\/(x*x**(-1\/2)*x*x*x))**20*(x*x**(2\/5)\/x*x)\/(x\/(x**6\/x))*(x**(-1)*x*x*x*x)**(-46) assuming x is positive.\nAnswer: x**(-11343\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = -30.2 + 30. Let h = -839\/3 - -279. Which is the fourth smallest value? (a) x (b) h (c) -2\/7 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1342 + 1342. Let t(h) be the second derivative of -2*h**3 + s*h**5 + 11*h + 0 - 1\/6*h**6 + 0*h**4 + 0*h**2. Find the second derivative of t(n) wrt n.\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 309 + -305. Suppose 2*w - 32 = -3*h, 2*w - 60 = -2*h + 6*h. Let l be 1 + 1\/(w\/(-18)). Sort 0.2, 0, o, l in decreasing order.\nAnswer: o, 0.2, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -627*s + 162 - 162.\nAnswer: -627*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 14, t: 5}. Give prob of sequence ttt.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = -331 - -351. Solve -v*x = -10*x - 40 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 92 + -88. Suppose j*t - 2 = 10. Suppose 3*o + 12 = t*l, -2*o = -0*l - 5*l + 20. Solve 5 = l*w + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -23, -10, 152 in increasing order.\nAnswer: -23, -10, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1980 - 0.07.\nAnswer: -1980.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -x**2 - 13*x + 10. What is l(-11)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -3157 (base 8) to base 12.\nAnswer: -b53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0012 - 49?\nAnswer: -49.0012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -12*h**2. Let t(s) = s - 1. Let p(n) = -n**2 + 6*n - 8. Let x(l) = p(l) - 6*t(l). Let o(r) be the first derivative of x(r). Calculate o(w(y)).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -2\/3 (b) 2 (c) -0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in 3\/7, -3, 1, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 34207 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -62 and 9?\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -76*u - 78*u - 361*u + (-2 + 3*u + 2)*(1 - 2 + 0) in the form t + f*u and give f.\nAnswer: -518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 287 - 99 - 91 - 94 + 6*z.\nAnswer: 6*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (26 + 339 - 399 - 452)*(1 + w - 1)*(18 + 12 - 44).\nAnswer: 6804*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -k + 2 = 3*l, -649*l - 53 - 17 = 5*k - 650*l for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -q**2 + 5*q + 8. Let j be c(6). Suppose -j*u + 3 = -u. Let n(z) = -z**3 + 2*z**2 + 3. Give n(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -32 - 1. Let v = 35 + s. What is the third derivative of -j**3 + 13*j**4 + 0*j**3 - 27*j**v + j**3 wrt j?\nAnswer: 312*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1143, -1145, -1149, -1155, -1163, -1173?\nAnswer: -1185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (2 - 5) + 7 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1987 - -1996. Solve g*d - 13*d = -12*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1.9744 + -0.0256. Sort g, -4, -0.057, 1\/3 in descending order.\nAnswer: 1\/3, -0.057, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1102088 to the nearest integer?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + 4 + (-7 - 5) + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify w\/(w*w\/w**(1\/3))*w*w\/(w*w\/w**(-6))*w\/w**(2\/3)*w**8 assuming w is positive.\nAnswer: w**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 2909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -3*p**2. Let c(m) = m + 5407. Calculate h(c(j)).\nAnswer: -3*j**2 - 32442*j - 87706947","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -137764 divided by 22.\nAnswer: -6262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4437 - 4405. Let n = -0.24 - 0.06. Put m, -2\/13, n in ascending order.\nAnswer: n, -2\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 86937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 36963, 146445, 328469, 583041, 910167, 1309853, 1782105?\nAnswer: 2326929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -p - 5*l + 81, p + 3*l - l = 72. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*t + 182990 + 146285 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 9) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) be the second derivative of 1\/12*a**4 + 0*a**3 + 0 + 0*a**2 - a. Let d(o) be the second derivative of -o**3\/3 - 6*o. Determine d(q(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = 10 + -11. Let o = l - -0.7. Let j = o + 0.1. Do 0.4 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.2 - 0.25. Let d(i) = -2*i**3 - 15*i**2 + 9*i + 7. Let l be ((-2 + 9)\/14)\/((-2)\/32). Let c be d(l). What is the nearest to a in 4, c, 5\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -69, -35, 53, 219, 487, 881?\nAnswer: 1425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((q*q**(-5))\/q*q)**(12\/7))**(-29))**(-3\/41) assuming q is positive.\nAnswer: q**(-4176\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -891.4774542 rounded to two dps?\nAnswer: -891.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert -11 (base 16) to base 12.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fwfwwfwwfwwf. Give prob of sequence ffff.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 36.2931 nanometers?\nAnswer: 0.0362931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be 5 + 5 + -3 + 0. Let d(i) = 2*i - 10. Let v be d(h). Suppose v*l + l = 45. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*g - 9 = 36. Let w be (-12)\/15*g - 19. Is (-483 - -2)\/(w - -14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11547888 + -0.2?\nAnswer: -11547888.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 + 2 = -c + 2*p, -c - 20 = -5*p. Suppose 58 = 2*k - 0*m + 4*m, c*k - 190 = 5*m. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 1 h when two letters picked without replacement from ieiiihhhhihhehhiii.\nAnswer: 64\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 87\/52 and -89\/23211006?\nAnswer: 46422012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -8\/2247? (a) 1\/6 (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -7*c**2 - 7*c - 7. Let j(t) = 6*t**2 + 6*t + 6. Let k(p) = 6*j(p) + 5*v(p). Let q(b) = -8*b**2 - 9*b - 7. Determine -6*k(s) - q(s).\nAnswer: 2*s**2 + 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 104 a factor of 832955991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 66212 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = 233\/6 + -39. Sort s, 0.4, -1\/4 in decreasing order.\nAnswer: 0.4, s, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 41 and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 647 minutes before 4:46 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b + 9 = 3*b. Let j = 90 - -13. Suppose -4*m + 5*g + j = 32, -2*m + 43 = -5*g. Solve -b*v - 16 = -4*x, -m - 3 = -5*x + 3*v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 1 i when two letters picked without replacement from iqjojiijijijjj.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) be the first derivative of s**5\/20 - 54*s**2 + 17. Let f(m) be the second derivative of j(m). Let d(g) = 16*g**2. Calculate d(f(w)).\nAnswer: 144*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a + 8 = 4*o, -3*o + 2*a + 23 = 4*a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17*a**2 - 53 - 6*a**2 - 53 - 101 + 207.\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 1895a4 (base 11) to base 10\nAnswer: 290877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -5*r**2 + 174*r + 61. Let z be x(35). Solve -65*d + 52*d = z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 289983503?\nAnswer: 9949, 29147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) be the second derivative of w**4\/6 - 2*w + 7. Let s(n) = 2*n - 5*n + 8*n. Give s(q(y)).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 75160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of (1*-5)\/(84\/30 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (4 + sqrt(112)*-1 + sqrt(112) + sqrt(112))**2*1 + 1.\nAnswer: 32*sqrt(7) + 127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -48047 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(1 + (sqrt(684) - sqrt(684)*1)) - (4 + 3*(sqrt(19) - (1 + sqrt(19))) + -4 + sqrt(38)\/sqrt(2))**2.\nAnswer: -24 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2060)\/50*1\/2. Let d = -21 - t. Let l = -2306\/7 + 330. Which is the nearest to -2? (a) 3 (b) d (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-65)\/(2\/(-26)*(-11 - -14 - 2)). Which is bigger: 847 or g?\nAnswer: 847","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (22\/(-242))\/(((-1)\/(-1))\/(3\/9*-9)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*j = -17*j - 64. Let w = -18 + j. Let n be -3 + (-1 - w) - -4. Solve -d + 1 = -n*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 5.7866544 seconds?\nAnswer: 0.001607404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (11\/(-22))\/((-2)\/(-60)*3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from toouooooouoooouuout. Give prob of sequence tu.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yfudwew. Give prob of picking 1 u and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 94, 39, -28712 in decreasing order.\nAnswer: 94, 39, -28712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 10, m: 4}. Give prob of sequence mzzz.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.78 - -1.02. Let i = -0.14 + s. Which is the nearest to 1? (a) -5 (b) i (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6 + 0. Suppose -k*u + 120 = -10*u. What is the tens digit of (32\/(-10))\/4*u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*t**2 - 2*t**2 - t**2)*(7*t**2 + 56*t - 119*t - 1 + 62*t).\nAnswer: -21*t**4 + 3*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0, -0.1, 4, -0.5, 319?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -g + 2*j - 60 = -3*j, -10*g - 17 = 3*j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -128, 64, 378, 808, 1348, 1992, 2734, 3568?\nAnswer: 4488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) be the third derivative of j**6\/120 + 13*j**5\/75 - 35*j**4\/24 - 13*j**3\/5 - 2404*j**2. Find q such that l(q) = 0.\nAnswer: -13, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 58, 0.1, 2, 5\/2 in decreasing order.\nAnswer: 58, 5\/2, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-5984)\/704*(-3)\/(9\/(-12))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -727080*d**3*q**3 - 187*d**3*q + 2*d**2*q**3 + 2669*d**2*q**2 + 2*d*q**2 wrt q?\nAnswer: -4362480*d**3 + 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 2 q when three letters picked without replacement from qqqoqcoqqdqqacop?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, h: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1522 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -223*r - 216*r + 355*r + 1932 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 30 + 571276.67402?\nAnswer: 571306.67402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -53*p - 5*p + 27*p + 124 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1232884.926 - 1232939.7259759. Let n = 54.8 + d. Round n to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1577 + 2336. Suppose -3*x - d + 583 = 0, 4*x + 5*d - t = -0*x. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 1 c when two letters picked without replacement from {l: 1, c: 1, z: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 338*h - 634*h - 331*h + (2*h - 2*h - 4*h)*(-2 + 1 + 2) as g + y*h and give y.\nAnswer: -631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/(-3)*1)\/((-44)\/198)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 121665 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide 225 by 9.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -5, -8, 0.1, -415?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42*n = -41*n - 3. Let d(v) = 185*v**3 + 3*v**2 + 5*v - 4. Is d(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -19*m**3*x**2 + 6903504*m**3*x + 17*m**2*x**2 + 35676*m**2*x - 15*m*x wrt m?\nAnswer: -114*x**2 + 41421024*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express (-6 + 2 + 3)*(-j + 0*j + 3*j) - 4*j - j + 3*j + 1 - 93187*j + 112782*j + 2 - 4 as r + m*j and give m.\nAnswer: 19591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00003032981 rounded to 7 dps?\nAnswer: -0.0000303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2950 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o - o = -50. Suppose o*g = 8*g + 12. Put -7, g, -2 in decreasing order.\nAnswer: g, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) be the second derivative of -73*a**5\/20 - 19*a**3\/6 - 4*a**2 + 625*a. Find the second derivative of u(i) wrt i.\nAnswer: -438*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 60*h = 64*h + 16, 5*d = -2*h + 7. Solve -2*k - d*i = -9*k - 2, -4*i + 13 = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -v**2 - 3*v**2 + 2*v**2 + (2*v + 0*v - 4*v)*(-3*v + 2*v - v) - 4 + 4 - v**2 + 5*v.\nAnswer: v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.2 and 58.1.\nAnswer: -11.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pphp when four letters picked without replacement from phpp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2799.\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 29\/452 and -119\/450.\nAnswer: 101700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 511948721.\nAnswer: 511948721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = -4*k + 2*m, 5*k + 884*m - 8 = 883*m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 2356*p. Let c(t) = 4356235*t. Let g(z) = -5*c(z) + 9244*s(z). Let x(r) = -r**2. What is g(x(l))?\nAnswer: 2311*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = 16381 + -16380.15431. Let d = w + -0.85. Let f = 0.004 + d. Round f to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -2, -7443559, -3.\nAnswer: -7443559, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = 18\/553 + -1412\/9401. Which is the closest to -0.21? (a) -1\/18 (b) m (c) -1\/3 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) 6 (b) -2 (c) 807\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 189 - 188.7. Let a = -0.49 - -5.49. Let n = 1681\/9 - 187. Put a, g, n in decreasing order.\nAnswer: a, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -41648 greater than or equal to -41647?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 524.07261 minutes in days?\nAnswer: 0.3639393125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b = -4*b + 6. Let t(a) = 6*a**3 - 4*a**2. Let d be t(b). What is the greatest common divisor of 18 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 677 minutes before 12:07 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*i + 5*k + 5, -3*k + 4 = -2*i - 7*k. Suppose i = -5*y + 74 - 9. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-7)\/(21\/10)*31482\/(-330) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -5*l + 2*b - 7, 3 = -2*l - 3*b. Let j be 6*4*(-6)\/48. What is the closest to j in l, -2, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 329592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 2 - 2*a + a + (-2*a - 3 + 3)*(-5 + 3 + 1) - 2*a + a + 3*a + 3*a + 4*a - 5*a)*(-121 - 108 - 650*a + 228).\nAnswer: -3250*a**2 - 1305*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2.1 - 2. Let x = -2.53 - 0.47. What is the nearest to -0.3 in -0.1, g, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 2*l**2 + 19*l - 8. Let i(x) = -649*x - 659. Let k be i(-1). Give c(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -115\/7485216 and -73\/9356520?\nAnswer: 37426080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 20\/(-36)*-3 + 0?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 6902?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -q**2 + 1. Let j be r(-1). Let t be (4 - (-1 + 3)) + 25. Suppose -4*d - 3 + t = j. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) be the first derivative of -49*l**3\/3 - l**2 + 110*l - 103. What is the first derivative of b(w) wrt w?\nAnswer: -98*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 54 - -1342?\nAnswer: 1396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1*((-702)\/(-42) + -17).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = 2, 4*s + 16 = -4*y + 2*s. Let r be -4 + (-2 - -1) + y. Let i be 8\/1*r\/(-32). Solve -i*b + 4 = 3*t, -5*t = -7*t + 4*b + 24 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -r**3 + 10*r**2 + 25*r - 11. Give h(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4667 - -93683.\nAnswer: 98350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3\/51110 - -3781681\/7819830. What is the common denominator of -17\/21 and v?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 493 and 459.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -406\/10025 or 1?\nAnswer: -406\/10025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 9*a**3 - 43*a**2 + 8. Let t(x) = 144*x**2 - 22 - 2*x - 16*x**2 + 2*x - 26*x**3. Let r(i) = 11*q(i) + 4*t(i). Find the third derivative of r(n) wrt n.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(343) - ((sqrt(343)*-2 - sqrt(343)) + sqrt(343) + sqrt(343))*-4)\/(sqrt(28)\/(sqrt(4)*-1)))\/((sqrt(126)*-1)\/sqrt(2)*6).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify d\/d**(-3\/7)*d*d\/d**15*(d**(-2\/5))**(-7\/6) assuming d is positive.\nAnswer: d**(-1166\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + (1*sqrt(5) + 0 - -5*(sqrt(5) + sqrt(10)\/sqrt(2))))*2)**2 + 5 + 4.\nAnswer: 88*sqrt(5) + 2433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.3 + -0.8. Suppose p + 2 = 3*p. Put p, a, -1\/7 in increasing order.\nAnswer: a, -1\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 37.89999481 + -37.9. Round c to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 384583536 to the nearest integer?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 7*w - 14 - 2 + 0*w. Let t(a) = -3*a + 8. Let n(m) = 4*o(m) + 10*t(m). Let c be n(7). Solve 3*i = h - 13, 3*h - c*i = -3*i + 9 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -i - 13. Let q be u(-18). Suppose -4 = -3*n + q. Solve -n*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 3, s: 1, i: 4, l: 3}. Give prob of picking 1 i and 1 s.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(12)\/sqrt(3)*1)\/(sqrt(350)\/sqrt(7)))**2.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 818354*q**5 - 62*q**2 - 158*q wrt q?\nAnswer: 49101240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 45968000 to the nearest one hundred thousand.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -169 (base 11) to base 6\nAnswer: -524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (11449 - 11431) + (-1 - 48) + 0?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0002673 rounded to 5 decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -17*a + 34*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 2*w = 0. Suppose -4*q + 3*q + 3*s - 3 = w, 0 = 5*q + s - 17. Find the second derivative of -q*v**2 + 5*v - 2*v - 5*v**2 + 5*v**2 wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -26*h. Give p(2).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -33718, -67482, -101258, -135046, -168846, -202658?\n\"Answer: -6*l**2 - 33746*l + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) be the second derivative of -62*u**7\/21 - 3*u**5\/10 - 2057*u**4\/12 - 2066*u. What is the third derivative of j(h) wrt h?\nAnswer: -7440*h**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*c**3 - 3972*c**2 + 78598*c + 82572.\nAnswer: 2*(c - 1966)*(c - 21)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -18, 3, -2, 259.\nAnswer: -18, -2, 3, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 59876 - 4533 = -2485*u - 1812 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -11 (b) 3\/2 (c) -3 (d) -0.2 (e) 991\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 5 - 7*w**3 + 0 + 28*w - 28*w wrt w.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 3*c - 2. Let j(a) = -91*a + 54. Let s(l) = -45*l + 27. Let o(f) = 6*j(f) - 13*s(f). What is -2*o(g) + 27*x(g)?\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -21255 - -10?\nAnswer: -21245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = w - 5*a, -4*a = w - 6*w - 4. What are the prime factors of (355 + -1)*(w + 7 + -2)?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0 (b) 701 (c) 10 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose t = -3*t + a + 25, 0 = 2*a + 10. Suppose 3*v - 264 = 5*s, -306 = -4*v + t*s + 41. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 22, -0.5, -0.1, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a be 22 - (8 + -4) - 1. What is the greatest common divisor of 136 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 0*h = -4*h - 130, 0 = 4*a - 2*h - 278. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -74 divided by 10294064.\nAnswer: -37\/5147032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -n + 1. Let y(a) = -6*a + 9. Let t(h) = y(h) - 5*z(h). Calculate t(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 81099.\nAnswer: 3, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 72d + -30?\nAnswer: 6dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/(-10))\/(10320\/(-160) + 50)?\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 25634 = 703*k + 10168 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 57077851.3 rounded to the nearest one thousand?\nAnswer: 57078000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 2*l + 6. Let p = l + 2. Let v = p - -2. Solve 2*r + v*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*t**3\/17 - 6*t\/17 + 4\/17.\nAnswer: 2*(t - 1)**2*(t + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -3*c + 2*c. Let l = c - 4. List the prime factors of -1 + (0 - l - -13).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 705 minutes before 10:00 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 95701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 2*m**3 - 122*m**2 + 425*m + 1774. Give y(57).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 105*q**3 - 1060*q**2 + 100*q = 0. What is q?\nAnswer: 0, 2\/21, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -117 (base 8) to base 9\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 873297005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z = -1775*j + 1771*j - 68, 2*z - 74 = -2*j for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(5)*2 - (sqrt(605) - (sqrt(605) + sqrt(605) + 0))**2.\nAnswer: -605 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3474 - 1942. What are the prime factors of u?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -663772845 divided by 5991\nAnswer: -110795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 21 + -14111?\nAnswer: -14080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/(4\/(-6)) - (-988)\/(-266))*(-6)\/(-5).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find t, given that 14*t**4 + 570*t**3 - 1410*t**2 - 1450*t + 516 = 0.\nAnswer: -43, -1, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*m + 2*t + 2, 4*t = -m - 0 - 4. Suppose 3*g = y + 4*g - 11, -5*y + 4*g + 46 = m. Let l = y - 6. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w + 16 + 5 = -3*q, 0 = -2*w + q - 23. Let j be (-1)\/(-3) - 33\/w. Which is the nearest to 0.1? (a) j (b) 5 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -7 - -9. Let i(b) = 5*b + 4. Let g be i(-4). Let t be g\/(-6) - a\/(-6). Solve -2*p = -c + 8 - 2, -5*c = -t*p - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 18 = 2*p. Let s(f) = 5 - f + 4*f**2 - 3*f**2 + p*f. What is the units digit of s(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*f - 587 = -434 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -u**2 + 23*u + 14. Let h(l) = 22*l - 3. Let f be h(1). What are the prime factors of b(f)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -395 + 394. Put -35, 2, j in descending order.\nAnswer: 2, j, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 128099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 709 divide 303682425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1 equal to -9\/626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/4 of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 89 minutes before 8:34 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 134568 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - 1) + -3 + -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-2)\/15 - 417\/45. Let w = 49\/5 + d. What is the third biggest value in w, 3\/4, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 1\/8 (b) -6 (c) -0.2 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is ten thirds of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 39998.13ml to litres.\nAnswer: 39.99813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) be the first derivative of -96 + 0*u**2 + 0*u + 1\/2*u**6 - 27\/5*u**5 - 11*u**3 - 63\/4*u**4. Suppose c(n) = 0. What is n?\nAnswer: -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -7067 (base 8) to base 12.\nAnswer: -2133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 2*s**2 - s + 9. Let o(b) = b + 1. Let y be o(1). Let a = 15 - y. What is the remainder when n(4) is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) be the third derivative of 0 + 2*s**2 + 0*s + 7\/6*s**3 - 1\/4*s**4 - 1\/60*s**5. List the prime factors of n(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 996986.\nAnswer: 2, 498493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 51 = -5*o. Differentiate -o*a + 20*a**4 - 5*a**4 - 5 + 9*a + 12*a with respect to a.\nAnswer: 60*a**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2482303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1613*l**5*o - 7*l**2*o + l - 10*o wrt l.\nAnswer: 96780*l**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1415 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 116 and 1562.\nAnswer: 90596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*p + 4*p + 2*p - 5*p**2 - p**2.\nAnswer: -6*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 5, q: 7, r: 3, v: 2}. Give prob of picking 2 q and 1 v.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -p**3 + 47. Let r be o(0). Let q = r - 27. Suppose 3*b - 798 + 732 = 6*f, 0 = 5*b - 3*f - 103. What is the greatest common factor of b and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 655? (a) -13\/7 (b) -5\/7 (c) -0.4 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(500) - (-3 + sqrt(500) + -1)) + 5 - ((sqrt(300)*-2 + sqrt(300))\/sqrt(10) + sqrt(30))\/(2*(sqrt(6) + sqrt(54)) - sqrt(6))) + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 66 a factor of 10716420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.12, 37, -3, -61?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let 2*o**5 + 916*o**4 + 4528*o**3 - 916*o**2 - 4530*o = 0. Calculate o.\nAnswer: -453, -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 5*k - 8. Let d be j(-2). What is the remainder when 36 is divided by -14*(2\/6)\/(4\/d)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -3 (b) 0.5 (c) -100 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 79922\/1417 less than 55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 970 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 3*i**2 - i - 2. Let f(n) = 16*n**2 + 443*n - 11. Calculate -f(m) + 5*o(m).\nAnswer: -m**2 - 448*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: -0.06 times -1813.46\nAnswer: 108.8076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*m + 3*m + 3*m)*(-469 + 21*m + 469)*(1 + 4 - 2).\nAnswer: 252*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 3 = -3*j, 3*j + 1 = 4*j - 2*p. Put -3, j, -2\/9 in decreasing order.\nAnswer: j, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*s + 3*s + 2*s)*(-6*s**2 + 8 - 8) + 3*s**3 - 2 + 2 to the form a + y*s**3 + q*s**2 + d*s and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 2*l**2 - 5*l + 9. Let b be n(6). Let z = b - 47. Solve -3*q + c = 6*c + 32, -z*q - 28 = 3*c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -195 in 130.53, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 11796995729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -1079*-472.577\nAnswer: 509910.583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) be the third derivative of -q**5\/15 + q**3\/3 - 7*q**2. Differentiate l(j) wrt j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 16123 and 230?\nAnswer: 161230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 81883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5 + 6. Let v be 0\/(-1) - (30\/(-12))\/(-5). Put 0.2, -1, v, h in descending order.\nAnswer: h, 0.2, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 3\/3*(14 - 0). Find the common denominator of 1\/(-2)*(-21)\/(-33) and 2\/(-14)*x\/(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 11263 (base 7) to base 8\nAnswer: 5507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) be the first derivative of i**4\/4 - i**3\/3 - i**2\/2 + 2*i + 2. Calculate the least common multiple of d(0) and (-50)\/(-25)*4\/24*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 6\/(-16)*-2*4. Suppose c - w = i*w + 147, -5*c - w = -630. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -213988.1 and 7?\nAnswer: -1497916.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaaiiaaaa.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = 50 + -22. Calculate the greatest common divisor of u and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 8 = 23. Let g be 3\/9 + 8\/(-6). What is the nearest to g in 1\/2, a, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = 107*o**2 + 5*o + 10. Let u(f) = -53*f**2 - 3*f - 6. Give -10*u(m) - 6*y(m).\nAnswer: -112*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) be the first derivative of -2*w**3 + 13*w**2 - 26*w + 2063. Let q be 15\/25 + (-39)\/15. Let b(k) = -k**2 + 5*k - 5. Give q*x(d) + 11*b(d).\nAnswer: d**2 + 3*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = 32 + -7. Let r = i - 21. Suppose -5*w + k = -2*k - 200, -165 = -5*w - r*k. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -162137 and -162029 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 56 = 20. Calculate the greatest common divisor of b and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 8 and 392.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -69*g**2 - 1 + 933*g - 933*g.\nAnswer: -69*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 31239.14 millennia to decades.\nAnswer: 3123914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -o**3 + 8*o**2 + 10*o - 5. Let i be h(9). Let u be i\/(-2) - 5411\/5. Let s = u + 1075. What is the common denominator of s and 7\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12486488?\nAnswer: 2, 7, 293, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 1552 + -20?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*l - 2*q - 2988, 5*q = -l + 587 + 16. Does 46 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4 - 4 + i**2 - 26*i**2 + 31*i**2 - 18*i**2 + (-2*i - 4 + 4)*(3*i + 0*i - 4*i) + 9*i**2 - 2*i**2 - 2*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 2\/5, 0.073, -113784, -2, 0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.8998043 - 0.9. Round l to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (sqrt(117) + sqrt(117) + sqrt(117) + -3*sqrt(117) + sqrt(117) + sqrt(117) + 4)**2 + 5 + 4*(sqrt(117) - -2*sqrt(117)) + -4.\nAnswer: 84*sqrt(13) + 489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -5, -2, 5 in increasing order.\nAnswer: -5, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1028 - -11368\/11. Suppose -i*a**2 + 10\/11*a**3 - 4\/11 + 30\/11*a + 24\/11*a**4 = 0. Calculate a.\nAnswer: -2, 1\/4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -7308064 by 235744.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -3426*y - 92516. What is i(-27)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 35330 - 69275\/2. Is -0.1 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -2\/3, -3, -0.6, 3, -22213.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 28 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 46 - 89 + 25 = -b for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in 2\/13, -1, -0.06, 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 3*n + 9. What is y(-11)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(133)*-5 + sqrt(133))\/(sqrt(28) - (sqrt(28) - sqrt(252))).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -211a + 1c80?\nAnswer: -38a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = -43.9962 - -44. Let y = -2.9862 - w. Let s = 2.98851 + y. What is s rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 139.069 + -139. Round c to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eo when two letters picked without replacement from eeooeooeoe?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -33, -118, -259, -456, -709?\nAnswer: -1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -u - 2*u + 5*u - 4*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 80 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 7518 (base 13) to base 10.\nAnswer: 16245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p**(-2\/5)\/p)\/p*p*p)**(-9\/5)\/(((p*p**(-12))\/p)\/p**(-2)))**(2\/3) assuming p is positive.\nAnswer: p**(536\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 251 minutes before 2:08 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 35 and 1051883?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(112) + 1 + sqrt(112) - (sqrt(252)\/sqrt(4))\/sqrt(9)) - (-1 + (sqrt(700)*2*-6)**2).\nAnswer: -100798 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -32 - (-14 - 17 - -12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 3*y - 2*y**2 - 380*y**3 - 3*y + 5 - 4. Let v be o(1). Let t = 566 + v. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (25 + -28)\/(1\/(2\/(-2)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 2 - 0 - (17 + -19) - -3 - 8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w = 5*l - 6775 + 6798, -26 = 2*w + 2*l for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -13 + -1042403?\nAnswer: -1042421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -617*u + 57*u - 71*u - 16915 = 364*u for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 33289687913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 20\/(-12) + 0 + (-5)\/(-5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1878)\/(-313) + ((-38)\/3 - (-15)\/(-10))?\nAnswer: -49\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 2*v**3 + 286*v**2 + 6598*v - 1594. What is s(-114)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zrzrrrwwzrzzzzzwrr. Give prob of picking 2 r.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -p**2 + 9*p. Let i be j(9). Let m be (i + 8125000\/15)*-6. Let o be m*(1 + -5 - -2). What is o rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*i**2 - 4*i**2 + i**2 - 3*i**2 + 4*i**2 - 3.\nAnswer: 3*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 68822 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p = -108 + 107.93. Which is the nearest to -0.2? (a) 5 (b) p (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-16)\/600*-5 - (99\/(-270) - -10)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/7)\/((3 + -9)\/(-3))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.1, -22, -1229, 2\/17, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c be 74\/14 - (24\/(-21))\/(-4). Solve -c*m - 3*v = 30, 0*m + 8 = -m - v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -2096, -1741, -1386, -1031?\n\"Answer: 355*n - 2451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = -0*w - 2*c - 52, 0 = 5*w - 5*c - 245. Suppose h + 42 = w. Solve 5*g - 3*s = -35, -h*g - 5*s + 11 - 2 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -9 - -17. Suppose -a + z = -5*m, -2*a + 13 = -m + 2*a. Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 14\/70 - (-2318)\/10. What is the greatest common factor of q and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 4*t = -5. What is the nearest to 0.1 in 3, t, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8291 = -1414*o + 32194 - 9377 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -b**3 + 9*b**2 + b - 6. Let g be l(9). Suppose 0 = 5*r - 3*r + 4. Let m be 32 - (r + (-2 - -3)). What is the highest common factor of m and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(304)*4 + sqrt(304) - sqrt(304)) + (0 + sqrt(304))*6)*6.\nAnswer: 336*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 334385036 + -136?\nAnswer: 334384900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -3*m - 7. Let v(z) be the first derivative of -z - 13. Suppose 6 = 6*u - 4*u. Let a(i) = u*w(i) - 21*v(i). Let q(p) = p. What is q(a(x))?\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 166 + 2?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -30279 + 15037 + 415*h**3 + 15243.\nAnswer: 415*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4102, 4047, 3960, 3841, 3690, 3507?\nAnswer: 3292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -3 times -0.125544\nAnswer: 0.376632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w - 2*w = -j + 22, -w = 4. Let a be (j - (1 - 3))*15\/(-10). Let b be 0 + a\/27 + -6 + 6. What is the third biggest value in 1\/2, b, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 55 and 90937?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.1 or -136938273?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -14.3? (a) -3\/4 (b) -1\/4 (c) 1 (d) 1\/6 (e) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand -n**5 - 5*n**5 + 2*n**5 + 3*n**5 - n**5 - n**5 + (-3*n**3 + 3*n**3 + n**4)*(7 - 7 + 4*n).\nAnswer: n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -u - 9*u - 5*u**3 - 9*u**3 + 4*u + 17*u to k*u**3 + f + d*u**2 + o*u and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = z**3 + 7*z**2 - 16*z - 26. Let d be b(-9). Is d at most as big as -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -6447500 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1.8*0.1.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-90)\/14)\/9)\/(6\/(-42)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-111)\/(-4) + 9\/(-12) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*r**4 + 55*r**3 - 200*r**2 + 140*r.\nAnswer: 5*r*(r - 2)*(r - 1)*(r + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j\/j**(-2))\/(j\/(j**(3\/5)*j))*((j**(1\/9)\/j)\/j)\/(j\/(j\/j**(-5))))\/(j\/((j**0*j*j)\/j)*j**5)**(-32\/5) assuming j is positive.\nAnswer: j**(1742\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) be the third derivative of 3*z**2 + 0*z + 0*z**3 + 1\/36*z**4 + 0 + 1\/90*z**5. Factor w(x).\nAnswer: 2*x*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) 0.3 (b) -2 (c) 4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 33 - -11?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 85653, 171298, 256943, 342588, 428233, 513878?\n\"Answer: 85645*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 239 is divided by 79.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 2*h - 16 = 0, 3*t - h = t + 37. What is the common denominator of 38\/(-4)*2\/(-4) and (-27)\/t*70\/(-54)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 90 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide -42952 by 2.\nAnswer: -21476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k**3 - k. Let o(d) = d**4 - 4*d**3 - d**2 + 4*d. Suppose 0 = -2*h - 3 + 13. Suppose h = 3*z - 10. Let i(p) = z*j(p) + o(p). Factor i(x).\nAnswer: x*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = f**2 - 7*f + 15. Let l be v(6). Suppose 11 = 4*r - l. Suppose -2*n - 132 = -r*n. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, -9\/6199, -149, 3.\nAnswer: -149, -9\/6199, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -111555 or -111563?\nAnswer: -111563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve q - 5 = 3*k, -q + 5*k + 3 = -4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 39 a factor of 124254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1936 + 1948. What is the remainder when k is divided by 158\/14 - (-4)\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = 4*i - 64, 2*b - 2*i - 26 = -4*i. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1.3? (a) -7 (b) 19 (c) 1 (d) 41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 16\/3, -5, 2, -2\/5, -0.5?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(50)\/(sqrt(10) + -2*2*sqrt(10)) + -2.\nAnswer: -2 - sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*u + 9*u = -i + 8755, u - 4*i = 8720. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) be the second derivative of 0*b**4 + 11\/10*b**6 + 0*b**2 + 0 + 7*b**3 + 0*b**5 - 4*b. Find the second derivative of t(h) wrt h.\nAnswer: 396*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 45 = -253. Let g = 3 + -2. Let n = 12 + g. What is the highest common divisor of t and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 232007264?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = -7861860 - -17266757. Let x = 9404871.999977 - r. Let t = -25 - x. What is t rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 6557 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j - 48 = j. Let p = 74.4 - 74. Put j, -2\/11, p in ascending order.\nAnswer: j, -2\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -113\/52734 and 197\/5610.\nAnswer: 263670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) be the first derivative of -n**5\/12 + n**4\/12 + 70*n**3 - 59. Let b(f) be the third derivative of z(f). Give b(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 79 and 10728516?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -5*h**2 + 4*h. Let f(k) = -407*k + 242. Let q(w) = -10*w + 6. Let a(i) = 3*f(i) - 121*q(i). What is a(j(t))?\nAnswer: 55*t**2 - 44*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in twenty-six fifths of a decade?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jnjsmvcjjjjscssnccv. Give prob of picking 1 n, 1 c, and 2 j.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -118\/7*f - 94\/7*f**2 - 26\/7*f**3 - 2\/7*f**4 - 48\/7 = 0. Calculate f.\nAnswer: -8, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*p - 20321*k - 35 = -20316*k, 0 = 2*p + 2*k + 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = b + 3*b - 12. Let f be ((-5)\/(-2) - b)*-6. Let h be 3 + 2 - 2 - f. Solve h = -4*o + 13 - 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5 - 1 - 12*v**3 + 8*v**3 + (-3*v**2 + 2 - 2)*(-3*v + 2 - 2) + (4*v + 2*v - 5*v)*(v**2 + 66 - 66) to the form p*v**3 + o + a*v**2 + t*v and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 17 smaller than 187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v = 6 + 6. Let l(k) = -v*k - k + 8*k. Let y(o) = 2*o**2. Give l(y(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 - (-2 + -5) - (2 + -8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1068176876?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = j**2 - 7*j - 6. Let a be v(8). Let c be (1\/2)\/(8\/2). Put c, a, -5 in descending order.\nAnswer: a, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 72.41628 minutes to hours.\nAnswer: 1.206938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 11639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 7 and 8575.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -63*d - 146 = 169 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-6))**(-36) assuming h is positive.\nAnswer: h**216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 647 minutes before 3:55 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that 3*l**2\/4 - 39*l\/4 - 21\/2 = 0.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v be (1\/5)\/(392\/35). Let h = -31\/56 - v. Is h < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 324 and 1296.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from phkkpkhpikipp. What is prob of sequence kh?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -5 + (-228)\/(-42) + 0?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d**4\/7 + 17922*d**3\/7 + 36512856*d**2\/7 + 31292062560*d\/7 + 1385953898112 = 0. What is d?\nAnswer: -2842, -1044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 20226.132 nanoseconds in minutes?\nAnswer: 0.0000003371022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2)\/6 + (-21)\/(-9). What is the third derivative of -19*y**i - 75*y + 75*y - 8*y**5 wrt y?\nAnswer: -480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 3 = 3*n, 2*s - n = 3*n. Solve 16 - 40 = s*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -17*p**2 - 34*p + 34*p + (p**2 + 2*p**2 - p**2)*(-1 + 1 - 4) + (p - 4*p + p)*(-2*p - 2*p + 2*p).\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 13 times -120?\nAnswer: -1560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -r**2. Let u(b) = -35 - 5*b + 67 - 32. Calculate d(u(x)).\nAnswer: -25*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = 7 - 18. Let h = -8 - w. Suppose h*u - 12 = -0*u. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3303622 divided by 2987?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 9 - (-3 - -6)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.0450441 and -20.9.\nAnswer: 0.94142169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 2 r when three letters picked without replacement from {r: 9, h: 5}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 3*k**2 + 2. Let s(f) = -3*f**2 + 6*f - 1. Let g(y) = -10*y**2 + 21*y - 4. Let t(v) = 2*g(v) - 7*s(v). Give c(q) + 2*t(q).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -20, -604, -9\/31, -4 in decreasing order.\nAnswer: -9\/31, -4, -20, -604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = -2*d + 1, 2*d + 5*s + 17 = -0*s. What is the tens digit of d - (1 + 1 + -34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i - i - 10 = -4*y, 0 = -3*i - 6. Suppose -c + 10 = -3*c, 27 = -y*o - 5*c. Which is smaller: -11\/6 or o?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2563 - -2587. Calculate the greatest common factor of a and 472.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2207175415?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = 444 - 441. Factor -64\/5*p - 16\/5*p**o + 2\/5*p**4 + 48\/5*p**2 + 32\/5.\nAnswer: 2*(p - 2)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 t and 1 r when three letters picked without replacement from {n: 1, r: 4, w: 8, t: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 145*n**4*t - 11*n**4 + 4*n*t + 7679*t + 4 wrt n?\nAnswer: 580*n**3*t - 44*n**3 + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1512.05 - -1316. Round o to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find m such that 2*m**4 + 6*m**3 - 14*m**2 - 54*m - 36 = 0.\nAnswer: -3, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = -963 + 962. Let m be (-2)\/(570\/(-861)) - 3. Let t = 103\/380 - m. What is the smallest value in t, k, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {d: 7, p: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = f**3 - 6*f**2 + 2*f - 10. Let t be a(6). Find the second derivative of 5*l**3 + 2057*l**2 + 3 + 24*l**3 + 9*l - 2059*l**t + 14*l**3 wrt l.\nAnswer: 258*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 186*p - 165*p - 147 = -21 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) be the first derivative of 2*a**3\/3 - 1. Let x(i) = 3*i + 5. Let w(f) = -2*f - 3. Let d be -6*(15\/6)\/5. Let j(o) = d*x(o) - 5*w(o). Give j(p(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 15 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l, 1 h, 1 c, and 1 f when four letters picked without replacement from {c: 4, h: 4, l: 6, f: 4}?\nAnswer: 32\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1231940.\nAnswer: 2, 5, 31, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 582 + 58 = 0. Let h = j - 123. What is the remainder when h is divided by ((-1)\/1)\/((-1)\/13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**8)**(3\/8) assuming j is positive.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = h**3 + 3*h**2 - 4*h + 7. What is the remainder when 91 is divided by o(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (12 + (-16 - -4))\/(-5). Suppose -7*k = -3*k - 12. Suppose 4*p - k*q - 2406 = p, c = 4*p + 4*q - 3168. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 611349?\nAnswer: 3, 29, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -17*f - 18. Let h(z) = -z**2 + 99*z + 107. Let x(s) = -6*h(s) - 34*n(s). Is x(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sn when two letters picked without replacement from brrrbsnrrbsrzn?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 12*o + 5. Let r be -2 + (6\/(-57) - -2). What is the third biggest value in r, -3\/7, o?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 535 minutes after 10:48 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3142?\nAnswer: 2, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = 38*u - 48. What is the smallest common multiple of 6 and d(2)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -8*c - 2. Let v be -3*((-8)\/(-3) + -3). Let n be (-1)\/(4\/8*v). What is the units digit of u(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1260)\/(-324)*((-240)\/(-100))\/2.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1409 + 1348.7. Let m = -0.3 - z. Let x = m + -58. Which is smaller: 2\/5 or x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 2) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -160 = 4*v - 24*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m - m**3 - 4 + 0*m**2 + 0 - 12*m**2 - 6. Suppose -5*h + 20 = -h. What is the remainder when h is divided by c(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1.6 - -0.6. Is r >= -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-6\/11))**0 assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 6708, 26841, 60396, 107373, 167772?\n\"Answer: 6711*n**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*f**4 - 44*f**3 + 207*f wrt f.\nAnswer: -24*f**2 - 264*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 50 - 28. Let o = g + -21.9978. What is o rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 74579 and 166813?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.3 and -5998534?\nAnswer: 1799560.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 4 - 7)*((3 - 3 + 2*t)*(15*t - t - 4*t) - 3*t**2 + 3*t**2 + 2*t**2).\nAnswer: -132*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 + (-1 - -7) + -17 + 4 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*n + 24 = -3*n + 96, 3*o = -2*n - 60 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41*x = -39*x - 20. Let m be (-4)\/(-6) - 28\/(-12). Suppose 4 = m*v - v. Calculate the least common multiple of x and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-1558)\/(-171) - 8)\/(4\/(-3))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -1579*m + 11192. What is f(8)?\nAnswer: -1440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 156985 divided by -5?\nAnswer: -31397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert -2123213233 (base 4) to base 14.\nAnswer: -128423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = q. Let a(i) = -i + 1. Let d(n) = -2*a(n) + 2*m(n). Determine d(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-62*d**2 + 62*d**2 - 35*d**4)*(-49 + 51 + 107 - 31 + 140).\nAnswer: -7630*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*z + 260 = j, 42*z + j - 36 = 46*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 4 + -4135?\nAnswer: -4131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -2*l**2 - 12*l + 3. Let i be j(-6). Suppose 110 = -i*v + v. Let f = -49 - v. Solve 0 = c + 2*c + f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = 2*b - 7*b - 10, 0 = -2*b + 4*a - 22. Let f be (14 - 177)\/(b*1). Suppose 754 = d - f. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 19964817?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -4*q**3 - 3*q**2. Let j(h) = -12*h**3 - 8*h**2. Let w(t) = -t + 8. Let y be w(0). Calculate y*n(o) - 3*j(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) be the third derivative of -w**5\/20 + 11*w**4\/24 - 12*w**2. Find the second derivative of m(n) wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 6165618*b**4 + 68222933*b**2 wrt b.\nAnswer: 147974832*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 + 9 + 3)*(-3*x**2 - x**2 - x**2) to j + t*x + g*x**2 and give g.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 19\/225 in 5, -0.27, 3\/5, 2, -0.08, 1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -2\/9, -4, -30, 0.04?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 16389 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1314 + -1314. Which is the closest to -1\/4? (a) o (b) -1 (c) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (1400\/(-245)*34\/8)\/((-45)\/126)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 146286.9l to millilitres.\nAnswer: 146286900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -27243, -27029, -26813, -26595?\n\"Answer: l**2 + 211*l - 27455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1668373139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -4237, -4233, -4219, -4195?\n\"Answer: 5*k**2 - 11*k - 4231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -0.8 (b) 0.5 (c) 2\/411 (d) 1\/7 (e) 1\/9 (f) -15 (g) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*sqrt(832)*2 + sqrt(1053) + ((-5*2*sqrt(1053))**2 - sqrt(1053)).\nAnswer: 96*sqrt(13) + 105300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -5 - -52151445?\nAnswer: 52151440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10 - (4 + 5) - (-4 - (2 + 1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-4 + 54\/6)*(-1 + 2). Suppose -m*a + u = -1061 + 43, -3*a = u - 614. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 31 - 16. Suppose a + 10 = 2*z, b + 6 = 3*z - 3*a. Suppose -31 = -z*y - 10. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 10236 + -10237. Which is the nearest to t? (a) 4\/3 (b) -35 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.10879 * -333.\nAnswer: 36.22707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 16928693129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 24 divided by 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = n**3 + 9*n**2 - 2*n + 80. Let q be s(-10). Sort 1244, q, 2.\nAnswer: q, 2, 1244","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2 + 4. Put -2, k, -5 in descending order.\nAnswer: k, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -5\/4 (b) 0 (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 84768.02km?\nAnswer: 8476802000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 2\/(-2)*((-18)\/(-48))\/(36\/(-1632))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 886212 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide -4449373 by -4449373.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/(-30) + (-53)\/(-106).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -72*f = -49*f + 75*f - 150626. What is the remainder when f is divided by 67?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 4.4 * -11\nAnswer: -48.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12063 is divided by 1320.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000001231664281 to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = -115 + 118. Factor 6\/7*u**f + 0 + 2\/7*u**4 + 4\/7*u**2 + 0*u.\nAnswer: 2*u**2*(u + 1)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*c**3*i + 7546*c**3 + 65*c*i - 3*c + 5*i + 5 wrt c.\nAnswer: -12*c*i + 45276*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) be the third derivative of 1213*l**4\/24 - 361*l**3\/2 - 3*l**2 + 164*l. Differentiate b(a) with respect to a.\nAnswer: 1213","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 455808 and 3874368?\nAnswer: 7748736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -12010020000 + -2110?\nAnswer: -12010022110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = -6 - 3. Sort 0, a, -3 in descending order.\nAnswer: a, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find w such that -w**3\/7 + 2452*w**2\/7 + 24659*w\/7 - 96018\/7 = 0.\nAnswer: -13, 3, 2462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 2, e: 1, i: 3, j: 2, h: 2, k: 4}. What is prob of sequence ike?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -2*i + 7. Calculate p(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve z - 3*z = 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 34 * 478\nAnswer: 16252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = -458 - -782. Calculate the remainder when l is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 7.04 + -12.97. Let y = t - -202.43. Round y to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 42*p + 409 = -221 - 437 + 353 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p - 20 = -100. Suppose v - 3*h = 1 + 1, -4*v + p = -4*h. Factor 0 - 2\/3*d**2 + 2\/3*d**3 + 0*d + 2\/3*d**4 - 2\/3*d**v.\nAnswer: -2*d**2*(d - 1)**2*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:23 AM and 3:45 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 26\/5 of a micrometer in nanometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11774 is divided by 3923?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) be the third derivative of 5\/24*a**4 + 1\/60*a**5 + 0 + 0*a + 1\/2*a**3 - a**2. Give r(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -53002520 divided by -8?\nAnswer: 6625315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is ((-136530)\/(-1554))\/((-450)\/(-210))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -7cd9 (base 14) in base 11?\nAnswer: -15384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -354 - 0.61.\nAnswer: -354.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 35162 + 10?\nAnswer: 35172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -n**3 - 3*n**2 + 2*n. Let i be c(-4). Let j = -6 + i. Let x = -74 - -224\/3. What is the nearest to -0.1 in x, -1, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 628, 1278, 1928, 2578, 3228, 3878?\n\"Answer: 650*w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 52\/40149 and -71\/138291.\nAnswer: 1244619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + 1 + 2 + sqrt(80) + 5 + 2*sqrt(80) + 2)**2.\nAnswer: 360*sqrt(5) + 945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 182670824.\nAnswer: 2, 7, 66571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.4 (b) 2\/3 (c) -5\/2 (d) -3\/4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5767 - -12064. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 7*z**2 - z. Let x(t) = 50*t. Determine x(n(i)).\nAnswer: 350*i**2 - 50*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = -60 + 60.0000135. Round n to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 115 + -115.95. Let v = 1.05 - s. What is the third biggest value in -3, 4\/19, v, 3?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, 68, 42615 in decreasing order.\nAnswer: 42615, 68, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -12472922 divided by -2849?\nAnswer: 4378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 1973, 904, -165, -1234, -2303?\n\"Answer: -1069*y + 3042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = -7113 + 7119. Let v(g) = 4*g**3 - 10 + 3 - 6*g - 5*g**2 - 3*g**3. What is v(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 23497*p + 6. Suppose -v + 8 = -2*x, -3*v - 3*x + 8*x + 21 = 0. Let s be b(v). Round s to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -25*m - 405. Give h(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = v**3 - 3*v**2 - 17*v - 6. Let s be j(6). Let z be s + (-93)\/(-81)*6. Is 8 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:11 PM and 10:01 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/(-8) + 7\/(-14).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1 - 1)*(0 - 4). Suppose 0 = 5*w - s + 9 - 0, -5*w - g = -2*s. Sort w, -3, 3 in increasing order.\nAnswer: -3, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -95*i + 90 + 385 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2544373?\nAnswer: 13, 17, 29, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*g - 3*v - 2, 2*v - 4*v + 6 = 5*g. Suppose 0 = 5*r - 4*r + 2, -2*c + g*r = -154. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 3*g**2 + 10*g + 26. Let v be (-1 + (-2)\/(-1))\/((-5)\/30). Let p be h(v). Let m = -52 + p. Solve 4*x + m = 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 13 - 7. What is the units digit of (64\/z)\/4*6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -6*p**2. Let n(r) = 49*r - 27*r - 26*r. Give c(n(s)).\nAnswer: -96*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -k**3 + k**2 - 2*k + 2. Let u(x) = x**3 + x**2 - 1. Suppose -180*c = -200*c - 40. Determine c*u(y) - p(y).\nAnswer: -y**3 - 3*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 167 and -0.7?\nAnswer: -116.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -o - 13. Let y(k) = -4*k - 44. Calculate 7*n(q) - 2*y(q).\nAnswer: q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k + 0*k - 14 = 2*b, 17 = 5*k - b. Let t be (-30)\/(-4)*4\/6. What is the third derivative of -t*q**3 - 2*q**k + 5*q**3 + q**2 wrt q?\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0 - 1 + 3)*(-4*n + n + 0*n + (-1 + 2 + 0)*(-43*n + 53*n - 30*n)) in the form z + m*n and give m.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.07 - 0.06. Let l = -0.14 - c. Let m = 0.35 - l. What is the closest to 3 in -5, -0.1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 249858 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 2*n = -96. Let g be ((-12)\/(-16))\/((-261)\/n). Are 1 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/16 of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 360 - 358. Let m = 29 - 40. Let r = m + 16. Solve t*z = s, 1 = 3*z - r*s - 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 185424292 less than -3.6?\nAnswer: -185424295.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 26010 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -45814971183 - -0.3\nAnswer: -45814971182.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = h**2 + 13*h + 50. Let i be j(-4). Let p be (4*2)\/((-1488)\/106 + i). Which is bigger: -211 or p?\nAnswer: -211","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 332*q + 1137*q - 2 + 2 + 682*q.\nAnswer: 2151*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = 19.36 - 29.36. What is the nearest to 2 in r, 2, -0.3, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11 + 301?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12 - (8 + -17 - -11).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (((-387)\/860)\/((-66)\/5))\/(60\/(-40))?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 + 1)*(1 - 1 - 2)*(-83 + 12*v**5 + 83).\nAnswer: -24*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.26 from -28020.\nAnswer: -28019.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2337 + -0.4?\nAnswer: -0.1663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 608, 573, 524, 455, 360, 233, 68?\n\"Answer: -f**3 - f**2 - 25*f + 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 2281423 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -1 + 18*k + 4*k + 3*k. Let w be o(1). What is w rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5420784?\nAnswer: 2, 3, 31, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 m when two letters picked without replacement from {d: 1, s: 1, m: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*i - 5*i + 196*i**3 - 148*i**3.\nAnswer: 48*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 357528 - -192.097\nAnswer: 357720.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 + 2 = r. Suppose 0 = h - 2*h + 3*g + r, 4*g - 4 = -4*h. Solve -h*b - 28 = 4*y, -5 = 4*y - 2*b + 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 6 + 20293b9?\nAnswer: 20293c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1 - 173007?\nAnswer: -173006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 80*i = -6763 + 6603 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o = -f - 8, 0 = -3*o + o - 3*f - 14. Let p = 12 - o. Suppose -5*x - p + 38 = 0. Solve x*u - 5*l = -15, 2*l - 1 - 1 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 95, 84, 73, 62, 51, 40?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 162.9805 - 163. What is r rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -3 + 2*a + 0 + a**2 + 1 - 2. Let r be g(3). Let c = -2 + r. Solve -c = 4*k - k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -4*u**3 + u**2 + u - 4. Let h(l) = l**3 + 1. Let t(z) = -6*c(z) - 26*h(z). Let t(d) = 0. Calculate d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (8\/(-8))\/(2\/(-4)). Suppose f*k - 5 = 1. Suppose -2*h = -k*z - h + 29, -z + 2*h = -18. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 59570 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) be the second derivative of 7*x**6\/1980 + x**5\/55 - x**4\/33 + x**3\/6 + x**2\/2 - 22*x. Let k(p) be the second derivative of z(p). Solve k(h) = 0 for h.\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1708180*w - 851109*w - 846760*w.\nAnswer: 10311*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -17*u + 13*u - 124. Let c = u + 90. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-155)\/((-29140)\/(-2961)))\/((-7)\/16)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 430 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) be the second derivative of 2*t**5\/5 - 5*t**4\/12 - 14*t**3 + t**2 + 311*t. Find the second derivative of j(f) wrt f.\nAnswer: 48*f - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -5*l**2 + 1. Let y(h) = -h**2. Let q(g) = -m(g) + 6*y(g). What is q(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 = 2*o + 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 594 and 336366?\nAnswer: 3700026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (4 + 1 + 0)*(11 + 8*f - 11)*(-3*f + 4*f - 3*f) in the form a + l*f + g*f**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -86a89 (base 16) to base 13\nAnswer: -16408a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 637 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 209 minutes after 4:23 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -1\/4, 7, -2, 11.7, -0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -5 + 11. Are f and 5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 3\/4, -1, 2\/17, -0.7822?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 165512755.\nAnswer: 5, 33102551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0173431441 to six decimal places.\nAnswer: -0.017343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gggk when four letters picked without replacement from kkgkfgkgkfkkgf.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 3d0 (base 16) to base 5\nAnswer: 12401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3622209 to the nearest integer?\nAnswer: 1903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of (-8477 + 1)*(-48 + 46)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -28 - -31. Suppose 0 = -4*w - 2*f + 368, -2*f - 97 = r*w - 371. What are the prime factors of w?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 174919994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1.8 - -2.1. What is the nearest to 3\/5 in i, 0.4, 1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine z so that 2*z**3\/9 + 2*z**2\/3 - 8\/9 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 40645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 6.924527 hours to milliseconds.\nAnswer: 24928297.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -b**2 - 2*b + 15. Determine v(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -29.9 + 30. Which is the second smallest value? (a) -2 (b) k (c) -0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -3 (b) 644 (c) 23 (d) 8\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j be (0\/(-35))\/(-3 - (-4 + 2)). Let g(r) = r**3 + 10*r + 5. Let q be g(j). Solve -2*m + 28 = 5*z + 8, -q*m + 17 = -4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 7, r: 2, w: 1, b: 2, s: 1, a: 1}. Give prob of picking 3 c and 1 r.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in 148227, 148232, 148241, 148254?\nAnswer: 148271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -37*g. Let t(w) = -w - 4. Let s(j) = -j**2 + j + 4. Let i(v) = -s(v) - t(v). Determine f(i(u)).\nAnswer: -37*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 12.19 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 5 and -22874?\nAnswer: -114370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8493.\nAnswer: 3, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -3565.6471 to 0 decimal places.\nAnswer: -3566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = 6 - 0. Suppose -a*b + 355 + 431 = 0. Let s = 185 - b. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.01 + 0.31. Let l = 71.846 - -0.154. Let y = l + -72.3. Which is the biggest value? (a) v (b) y (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -599 (b) 3\/4 (c) -0.14 (d) 0.128 (e) -5 (f) -0.4 (g) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) be the first derivative of 5*y**4\/2 - 8*y**3\/3 + 7. What is the third derivative of f(r) wrt r?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -53\/836 and -43\/608.\nAnswer: 6688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 4*l - 3. Let q(u) = -16*u + 16. Let t(o) = 3*o - 3. Let p(h) = -2*q(h) - 11*t(h). What is -8*p(n) - 3*w(n)?\nAnswer: -4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 9*i**3 + i**2. Suppose 3*d - 4 = 2. Suppose -5 + 3 = d*l. Calculate o(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((-1880)\/(-50))\/(4\/170)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 6*n - 75 = -p, -2*p - n + 115 = 0. Let x = -48 + p. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -65971 + 65971 - 799*n + 781*n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -48 + 26 + 92653*n**2 + 22 - 92609*n**2.\nAnswer: 44*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -1b94a (base 13) to base 2\nAnswer: -1101010000100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1 - -1. Let q(j) = 2*j**2 - 33*j + 8. Let s be q(17). Suppose 3*n - s = f*n. Calculate the remainder when 148 is divided by n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 3*i - 5*i = -30, -4*i - 12 = -2*a. Calculate the lowest common multiple of 5 and 40\/a*60\/25.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2*(1 + 6 + -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -5061*b. Let k(x) be the first derivative of -x**2\/2 + 2513. Give k(s(l)).\nAnswer: 5061*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -8863474 smaller than -8863474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-f + 0*f - f)*(-112*f**4 + 136*f**4 + 142*f**4) + 0*f**5 - f**5 + 5*f**5.\nAnswer: -328*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -2*q, 2*q + 1 + 0 = a. Suppose 1 = 4*j - a. Suppose -3 - 6 = -j*o. Solve -o*f = 2*f + 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 177528096.\nAnswer: 2, 3, 19, 32443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = -20, -5*v = 3*p - 276 - 174. What is the remainder when 193 + (-3)\/2*14 is divided by v?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*-4*(3 + (3*sqrt(38))\/sqrt(2)))**2.\nAnswer: 288*sqrt(19) + 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 160088784 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 4, 1\/10, 1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 + 8 + 4*v - 8 + 0*v + 0*v - 2*v + (v - 5*v + 2*v)*(4 - 5 + 3).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -93\/208 and -8\/11.\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 49593 is divided by 335?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 107 divide 40976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 u when two letters picked without replacement from mmuuummmmummmu?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d be 11 + (-2 - -1) + -1. Suppose -1 + d = -4*r. Which is the smallest value? (a) 1 (b) r (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1449\/(-6)*(-3310)\/6951.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 368916560?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 401915 is divided by 559.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 3 (b) 67867 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 7*h + 5 - 19 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 792412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put together 1 and -15070.\nAnswer: -15069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 132292.6 years in months?\nAnswer: 1587511.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 10185093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*g + 3*a = 3, 6176893*a - 16 = -5*g + 6176894*a for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) be the second derivative of -a**6\/30 - 34*a**5\/5 - 112*a**3\/3 + 2*a + 106. What is the second derivative of q(r) wrt r?\nAnswer: -12*r**2 - 816*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 78*d*w**3 + 1855169*d*w**2 + 71505*w**5 - 3*w + 3 wrt w?\nAnswer: 468*d + 4290300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 2 = 4. Let u(p) = -2 + 0 + b + 76*p + 134*p. Is u(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3b (base 14) to base 2.\nAnswer: 110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - 54 = t + t, -5*t + 2*p - 114 = 0. Let h be 6\/t + (-5)\/12. Suppose -3*n = -5*v - 15, -3*n + 9 = -0*v - 3*v. Put h, -5, v in ascending order.\nAnswer: -5, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) be the third derivative of -o**4\/12 + o**3\/6 + 3*o**2. Let c(j) = 5*j**2 - 38*j + 23. Let r be c(7). What is w(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -58*(-84)\/420*-5?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1)\/(-6) - (13\/6)\/13. Solve -3*b + 12 = -r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -26 + (-1 - -2) + 32 + 23 + -60\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*4*(sqrt(684) - (sqrt(684) + 3))*6)**2 + -2*(-5*(sqrt(684) - (1 + sqrt(684))) + 2 + sqrt(684) + 0)**2.\nAnswer: -168*sqrt(19) + 81478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express -108*g**3 - 889 - 90*g**3 + 201*g**3 - 4*g**2 as y + h*g**2 + s*g + w*g**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 8232 and 20.\nAnswer: 41160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -1.81*1.2539\nAnswer: -2.269559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -697*k. Let l(v) = 1. Let j(s) = 2*s - 1. Let b(z) = -j(z) - l(z). What is b(t(c))?\nAnswer: 1394*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = h**3 - 3*h**2 - 3*h - 3. Let v be w(4). Let m be (642140\/(-8) - v)*10. Let j = 1902685 + m. Round j to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 1, o: 3, w: 1, z: 1, u: 1}. Give prob of sequence row.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -d**4\/2 - 25*d**3\/2 - 83*d**2 - 48*d + 144.\nAnswer: -(d - 1)*(d + 2)*(d + 12)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out -6 - 1591.\nAnswer: -1597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t + 1 = 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 12 and 3582.\nAnswer: 7164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n\/(n**(-1)*n))**(-24))**14 assuming n is positive.\nAnswer: n**(-672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -1387 times -4\nAnswer: 5548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tzzijitzizzjzzz. What is prob of sequence tt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2342531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 25*q - 1. Let t be (-1)\/(-3) - (-34)\/6. Let i(o) = 24*o - 1. Let w(k) = t*i(k) - 5*l(k). List the prime factors of w(2).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of j*t + 1913*j - 293050*t - 18 wrt t?\nAnswer: j - 293050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -d**3 + 13*d**2 + 30*d + 11. Let c(x) = -x**3 + 2*x**2 + 9*x + 14. Let u be c(5). Let h = u - -31. Calculate the least common multiple of j(h) and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.349 and -32968.\nAnswer: 11505.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -w + 8. Let m be d(4). What is the tens digit of ((-4)\/m)\/(2\/(-44))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(4400)*-2 - sqrt(44)) + sqrt(44) - (sqrt(5324) + -1))**2.\nAnswer: -124*sqrt(11) + 42285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -1975*l = 216767 - 62717 for l.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2894390, 2894343, 2894296, 2894249, 2894202?\nAnswer: 2894155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -22264158 - -5?\nAnswer: -22264153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2.08 + -2.28. Which is the closest to -1\/11? (a) 1 (b) -1 (c) -5 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4\/8*(-348)\/1. Calculate the lowest common multiple of m\/(-11) - 6\/(-33) and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 2 + 2)*(-10*h**5 + 73*h**5 + 20*h**5).\nAnswer: 83*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 8208 and 91081098?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -j**3 - 7*j**2 - 273*j - 1314. Let u be f(-5). Let t be (-22)\/(-15) + 2\/(-3). Which is smaller: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -24314, -24329, -24368, -24443, -24566, -24749?\nAnswer: -25004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be (2\/3 - 608\/156) + 4. Let c = 116\/117 - m. What is the nearest to -8 in c, -0.3, 3\/8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19 times -192758?\nAnswer: -3662402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -2*j - 1. Let r be v(-1). Let i = -7 + 23. Suppose 3*c + r = i. Solve 5*x + 2*m = -3*m + 10, -x = c*m - 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 856.4244km in micrometers?\nAnswer: 856424400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = 2*r**2 + 2501*r - 14916. Determine v(6).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -1*2\/2*((-110)\/(-30))\/11\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 53844263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n + 2*g - g + 10 = 0, -2*n + 3*g = -18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y be -4 - (4 + -14) - (0 - 1). Suppose 3*h + 20*a = 17*a - 12, 2*h + 5*a = -5. Sort y, h, -6, 3.\nAnswer: -6, h, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 22151*y**4 + 149*y**3 + 373*y**2 - 5634?\nAnswer: 531624*y + 894","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: What is the value of (7 - 465\/45)\/((-12)\/18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (18\/(-15))\/(-3*4\/(-30)). Put 155, d, 3 in increasing order.\nAnswer: d, 3, 155","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5144874062 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9\/(-60))\/((-14)\/2296) + (-9)\/15?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 38917 - 38899. Let j = -45 - -65. What is the lowest common multiple of u and j?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -y**3 - 10*y**2 + 8*y - 15. Let q be r(-11). Let w be -2*q*6\/(-8). Suppose 0 = -4*x + 17 + w. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - z - 483 = 0, -4*d - 82*z + 87*z = -655. Let x be ((-1)\/(-2))\/(14\/(-4)). Sort x, d, 2\/9 in decreasing order.\nAnswer: d, 2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1.2 - -0.2. Let i be (-3 - 54\/(-15))*(0 + -1). Which is the closest to p? (a) 5 (b) i (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 - h - 2*h + 0 + 0 + (-5 + 5 + 2)*(-3 + 3 + 2*h) - 5*h + 3*h + 4*h + 7*h - 2*h - 3*h + 0*h + 0*h - h - 3*h - 2*h + 4*h)*(55 + 49 - 63).\nAnswer: 123*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8280)\/80*200\/450.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = v - 11. Let k be c(10). Let a = -1\/132 + -257\/924. What is the smallest value in 5, a, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (15 - (-13 - -34)) + 7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 27597*s - 556. List the prime factors of n(2).\nAnswer: 2, 17, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -797*x - 1591. Let g be a(-2). Is 224\/103 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*n - 2*n - 18. What is the remainder when 15 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -5.7 - -5.7085. What is r rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3563274 divided by -323934.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2034, 1939, 1698, 1239, 490?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 8 + -10. Let c be (-30)\/25*15\/z. What is the highest common factor of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1212\/15 + 4\/20. Suppose 0 = 5*n + 2*s - d, 2*n - 1 = 2*s + 23. Solve 2*i + 5*o - 9 = n, i + 14 = 4*o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -217 - -157?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 299*c + 318*c - 568*c + 150*c + 10348 for c.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c**(-2\/25)*c))\/(c**21\/c) assuming c is positive.\nAnswer: c**(-498\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = -5*r - 3*x - 1, -5*r + 18 = 2*x. Suppose -4*m + 2*t = -5*m + 3, t + 39 = r*m. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1288 is divided by 581?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -p**2 - 6*p + 961. What is w(0)?\nAnswer: 961","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 16*m + 43 + 53 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-2\/17)\/m*(m\/(m\/m**(-13)))\/m)**(-16)*(m*m\/(m*m*m*m\/m**(-2)))**(3\/47)\/(m**(-4)\/((m*m*m\/(m*m**(-2)\/m)*m)\/m)) assuming m is positive.\nAnswer: m**(200251\/799)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) be the first derivative of -9 - 10\/3*a**3 - 2*a + 8*a**2 + 1\/3*a**4. Let j(g) be the first derivative of v(g). Factor j(q).\nAnswer: 4*(q - 4)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 1 s when two letters picked without replacement from {y: 1, s: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) be the first derivative of -3\/2*m**2 + 0*m - 6 - 2*m**3. What is the second derivative of u(n) wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 44 + -2. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 710.2576 centuries to millennia.\nAnswer: 71.02576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 3, y: 2, o: 1, h: 4, q: 7}. What is prob of picking 1 y and 1 u?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 2*j**2 + 2*j + 36. What are the prime factors of d(12)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(224) - 2*sqrt(224)*-1)\/(sqrt(128) + sqrt(128)*-2))\/(2*(sqrt(192)\/(sqrt(12)*2))\/sqrt(4)).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 169\/42 and 7\/636.\nAnswer: 4452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -119738944.9 to the nearest one million.\nAnswer: -120000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 2669.15229 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = t**2 - 11*t + 14. Let m be n(9). Let b(i) = -i**3 - i**2 + 3*i + 3. Let s(y) = -2*y**3 - 2*y**2 + 4*y + 4. Determine m*b(c) + 3*s(c).\nAnswer: -2*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 632 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1850\/231 - 88\/21. What is the common denominator of (-1100)\/120 - 12\/(-9) and m?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + -3 - (-2 + -1 + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) be the first derivative of -b**2 + 6*b - 2. Let u be q(2). Suppose -20 = -4*r, u*r = 3*y + y - 214. Calculate the highest common factor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 2, y: 1, u: 4, k: 3, c: 1, n: 4}. What is prob of picking 2 c and 1 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -5\/4, 1.2, -169, -2 in increasing order.\nAnswer: -169, -2, -5\/4, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - 2 - (37 - 30)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2353 + -18847\/8. Calculate the common denominator of l and -43\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1107*f + 546*f = -550*f + 121 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 132 minutes after 4:11 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x be 13\/4 + 2 + 2\/(-8). Suppose 11 = w + x*q, -2*w = 4*q - 3*q - 40. Calculate the highest common divisor of 105 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Let h be 3*4\/9*3. Suppose 4 = 3*p - 6*b + 4*b, -4*b = -3*p - h. Sort -5, -2, p in ascending order.\nAnswer: -5, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1\/187 + -195\/1496. Let x = 3.1 + -3. What is the nearest to x in g, 1, 2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2779197739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 102 = 5*d + 92. Solve 6 = -3*z, 0*z = 2*m + d*z + 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 - (24\/(-8) - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-27)\/(-42) - 2\/4. Let i = 414.7 + -398. Let h = i + -16.5. Which is the third biggest value? (a) n (b) 1 (c) h (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -3aa8 (base 14) to base 7\nAnswer: -42101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = q**2 - 6*q. Give k(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -32 - -32. Let k(p) = -2357143*p - 1. Let s be k(-7). Suppose r = -h*r - s. What is r rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + 4*v = 4*v. Suppose v*o = -5*o + 45. Let x be (-152)\/(-171) + (-2)\/o. Is x <= 0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b - 6 = -4*b. Let r be (-5)\/(3\/(-9)*b). Solve -5*p = 2*u - r + 20, u + 4 = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1831289*y + 92*y**3 + 103*y**3 + 1831289*y - 202*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7272801*s - 14545479*s + 7272682*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.1106 and -0.03?\nAnswer: 0.003318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -31*h**2. Let p(w) = -692*w**2. Give f(p(b)).\nAnswer: -14844784*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v be -1 + -4 + (14 - 45\/5). Which is the closest to v? (a) 19 (b) -6 (c) -0.1 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -435008, -870019, -1305030?\n\"Answer: -435011*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 2, q: 3, x: 3}. What is prob of picking 1 q and 1 e?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 101.350458 - 3994879\nAnswer: -3994777.649542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 743?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 21\/2 of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -866, -1771, -2686, -3617, -4570?\nAnswer: -5551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/((-208)\/(-6)))\/((-6)\/(-8)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2712193 to the power of 1\/2, to the nearest integer?\nAnswer: 1647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*v + 314 + 442. Let n = v + -186. Solve 0 = -5*f + 3*j + 6, -f - 3*f - n*j - 6 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10423 (base 6) in base 14?\nAnswer: -75d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -t**3 + 7*t**2 - 2*t + 3. Give v(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 842337 + -5906693\/7. Let y = d - -1479. Find the common denominator of y and -30.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/3 in 164, -3, -1644?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -10\/307 - -20035\/2456. Let v be ((-733)\/(-2))\/(-65 - 3). Let r = -93\/34 + v. What is the common denominator of r and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -15024, 4, -23\/3?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = m**3 + 6*m**2 - 2*m - 3. Let x be n(-6). Suppose -11*u + x*u = -4. Suppose -u*o = -4*o + 150. Calculate the highest common divisor of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d = -2*k - d - 24, -3*k - 4*d - 36 = 0. Let p be (-2)\/(-12) + (-58)\/k. Suppose 0 = 5*q - 10, -p*q + 15 = 2*g - 881. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = -10*l + 5*l + 13581, l - 6798 = -k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 325 = -7*c + 129. What is the common denominator of c and 1\/(-2) - (-21)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -7*i**2 - 86*i - 24.\nAnswer: -(i + 12)*(7*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = -56 + 72. Suppose 4*z - k = 4. Solve -4*n + 1 - z = 4*t, -3 = -n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(112) - 1*(sqrt(112) + 1) - sqrt(112)) + -5)**2 + 3 + (0 + 1 + sqrt(567) + -2)**2 + 1.\nAnswer: 30*sqrt(7) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000001208541 to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 15ba270 - -1?\nAnswer: 15ba271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 58 = 5*j - 4*p, 0*p + 45 = 3*j + p. What is the remainder when 55 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 36655751?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Add -55422370555 and -1.0462.\nAnswer: -55422370556.0462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 15499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - 3\/(-48)*14.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -12*d**2*m**4 + 7*d**2*m**3 + 620*d**2 wrt m?\nAnswer: -48*d**2*m**3 + 21*d**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 6196 and 11?\nAnswer: 68156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 34 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + i = -88. Suppose 0 = 2*m - a - 7, 0 = -5*m - 0*m + 3*a + 17. Let b be 1*(-8 + m) - i. Calculate the highest common divisor of 72 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w, 2 b, and 1 i when four letters picked without replacement from wwbbbbbwbbbbyiyb?\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = 191 + -110. Let f = g + -82. Which is bigger: 58 or f?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yyay when four letters picked without replacement from yyjyyajyyyjyj?\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.5? (a) 2 (b) -33.253 (c) -2\/11 (d) 2\/9 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 3 + (5 - 3) + (-16 - -6) - 10\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 3*c + 7 = -6*z, 4*c = 3*z - 26. Suppose -5*w = 3*n - w - 9, z*n - w = 17. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42 + 48 = -3*x. Which is the closest to -2? (a) 1 (b) 1\/4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 751 - 167 + 5*m**2 - 3*m**2 + 278.\nAnswer: 2*m**2 + 862","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -7*g**3 + 15*g**2 + 161*g - 49. What is z(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 22738 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h + 2*h = 0. Suppose i - 5*i = h. Solve 4*t - 12 = i, -4*g - 4*t = -0*t + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = a**3 + a + 1. Let c(r) = 63*r + 63. Calculate 2*c(f) - 126*k(f).\nAnswer: -126*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-19)\/(-114) + (-71)\/(-6). Let w(h) = -h - 11. Let l be w(-8). Let p = 33 - l. Calculate the greatest common divisor of p and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1d (base 14) in base 2?\nAnswer: -11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(2\/5)*l)\/l)\/(l\/l**6)*l**8\/(((l\/(l\/(l\/((l**(-2)*l)\/l*l))))\/l)\/l*l) assuming l is positive.\nAnswer: l**(62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 9566 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4917 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-2*(sqrt(120) - sqrt(120)*-2))\/sqrt(6))**2 - sqrt(200)\/(3*sqrt(20)\/sqrt(2))) + 5.\nAnswer: -2*sqrt(5)\/3 + 725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x be (5 + 3 - 17\/2)*-10. Let z be 1*(-3)\/9*-15. Let h be (-170)\/(-8) + 2\/(-8). Solve -3*p + h = z*i + 7, x*p = -10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 200 and 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 155 a factor of 22454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1565857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5\/(-8)*(-42)\/35)\/(-2 + 15275\/7600)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 50*s**2 + 4011*s - 10127246?\nAnswer: 100*s + 4011","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = u + 2*g, -4*u + u + 9 = 3*g. Solve 0 = u*l + 9 + 6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 + -23 - (-305 - -257)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 7615*q**2 - 11560?\nAnswer: 15230*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 899 is divided by 94?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 21, 4, 0.6, 0 in descending order.\nAnswer: 21, 4, 0.6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/(-14))\/((-6204)\/(-8272))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -47, -72, -49, 40, 213, 488, 883, 1416?\nAnswer: 2105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -375 + 2099 = -4*h. Let m = 632 + h. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 0 + 3 = 0. Let x = w + -1. Suppose -a + 5 + 0 = x. Calculate the highest common divisor of a and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -216 = -2*f - y + 16, 244 = 2*f - 5*y. Calculate the remainder when f is divided by 63.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 2787*b - 636*b - 28 + 0 - 42 + 21. What is the tens digit of s(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 8\/24*5*3. Let y(b) = 334*b - 3. Let s be y(3). Suppose 4*z = 2*l + s - 135, 0 = 4*z - a*l - 870. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) be the third derivative of -j**6\/120 - j**5\/60 + j**4\/24 + 16*j**3\/3 + 2*j**2. Let k be s(0). Let d = 3 + k. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -g**2 - 3*g - 2. Let c be d(-2). Suppose 2*u + 2*u - 224 = c. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 27*u + 18*u - 7*u - 4*u to the form f + p*u and give p.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = -52 + 227. Does 25 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = 6*g - 19. Let p be s(8). Let i = p + -18. Let v = i - 11. Which is the closest to 0? (a) 4 (b) v (c) 2\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0*y**2 + 89 - 90 - 2*y + 4*y**2 in the form z + l*y + a*y**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: ((-21)\/4340)\/((-42)\/140)\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) be the first derivative of -7 + 0*h - 3\/2*h**2 - h**3. Factor l(d).\nAnswer: -3*d*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46851409 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1529 (b) -0.5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8 + 2 + (-67 - (-6 + -59)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 70 and 39993170.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x be 14\/18 - 1 - (-744)\/(-540). Let z = 0.3 - -0.1. Which is the nearest to x? (a) 0.2 (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2)\/(-14) - 180\/(-14). Let f(t) = 2*t - x*t**2 - 2*t + 10*t**2. Let d(o) = -2*o**2 + 4*o**2 + 0*o**2. Determine f(d(p)).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 74755?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 34.3 and -3?\nAnswer: -102.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 817 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-3286)\/168 + (2 - 4). Let k = 232\/7 + h. Calculate the common denominator of k and (1 - (-19)\/(-20))*22.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -65*m + 1947 = -76*m. Let k = 239 - m. Is 32 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 3, b: 9}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4361*m + 4357*m + 12 = 0. Let u(j) be the first derivative of 2\/3*j**2 + 0*j - 1\/9*j**m + 11. Suppose u(r) = 0. Calculate r.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -408.98 to the nearest 10.\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 305, 462, 633, 824, 1041, 1290, 1577, 1908?\nAnswer: 2289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3*(-4)\/8)\/(-6)*4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -37, 4, -2 in descending order.\nAnswer: 4, -2, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 5344 and 5748.\nAnswer: 7679328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pllplgw. What is prob of sequence glpl?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 1\/5 of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 6 in 2\/169, 7, 0.1, 638, 0.8, 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 2 = 13. Solve -q*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.3, 20, 13.\nAnswer: 0.3, 13, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) be the first derivative of -o**2\/2 + 8. Let l(i) be the first derivative of 0*i + 4\/3*i**3 + 0*i**2 + 1. Give j(l(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 3.4188 months?\nAnswer: 0.02849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 7*b**2 + 80*b + 80. Let y be g(-1). Let t(m) = -5*m**2 + 42*m**2 - 10*m + 1 - 36*m**2. Give t(y).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -579 + 602. Suppose -62 = 3*l - q. Let d be (-4)\/6*-3 + -13. Is d greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3113.38 times 0.1?\nAnswer: 311.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -177 rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*s = -122 + 26. Suppose 4*q - s = -4*q. Suppose 0 = q*o - 205 + 21. Calculate the highest common divisor of 23 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -11, -3, 5, 3 in decreasing order.\nAnswer: 5, 3, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -0.552611 to 2 dps.\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 5 + 20?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 34*w**2 - 5*w + 20. Let j be o(2). Differentiate -j*g**3 + 171*g**3 - 19 - 32 - 19 with respect to g.\nAnswer: 75*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (93\/84 - 2\/8) + (-6048)\/7056. Solve p = -o + 3, 45*z - 40*z + 4*o = 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.218 + 134719012?\nAnswer: 134719012.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 207, 617, 1301, 2259, 3491?\n\"Answer: 137*a**2 - a + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1963 + -1969. Let w(c) be the second derivative of -c**3\/3 - 5*c**2 + c. Let f be w(y). Solve 2*o = -3*i + 4, -o + 17 = -i + f*o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 138458, 138457, 138456, 138455, 138454, 138453?\n\"Answer: -c + 138459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (13*t**2 - 13 + 13)*(0 - 1 + 0) + (1 - 1 + 3 - t)*(-413 + 195 + 198)*(2 - 2*t - 2).\nAnswer: -53*t**2 + 120*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w be (4 - -1) + 1 + 0. Let b(n) = -293 - 2*n - 264 - 292 - 288 - 4*n + 1134. Give b(w).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-33*p + 33*p + 9*p**4)*(-p + 3*p + 3*p + 4*p).\nAnswer: 81*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -43\/7 and -15\/19441?\nAnswer: 136087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15642528.\nAnswer: 2, 3, 11, 14813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1.7 and -0.06.\nAnswer: -0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = 2*a - 8, 2 = a - 2. Let t(j) = -3*j - 6. Let r(l) = -14*l - 24. Let m(w) = 2*r(w) - 9*t(w). What is m(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 174*s - 178*s - 4*x = -8, 4*x - 4 = -2*s. Solve 4*p = s*g + 6, p - 12 = -3*p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i**2\/17 + 189960*i\/17 + 4510600200\/17 = 0. What is i?\nAnswer: -47490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 172 minutes before 10:00 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 59 = 2*w + 5*h, h = 5*w + 6*h - 125. Suppose 17*d = w*d - 185. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2 - -1. Let q(u) = -u + 2. Let t(g) = 2*g - 3. Let i(x) = -5*q(x) - 3*t(x). Give i(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -b**2 + 1. Let f be 21\/(-9) - (-64)\/48. Let l(v) = -8*v**2 + 9. What is f*l(u) + 6*t(u)?\nAnswer: 2*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2583*w - 182 + 2576*w - 252 to x + m*w and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 - -2 - (-13 - -23)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 28366*y**3 - 56617*y**3 - 4 + 28248*y**3 + 4.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s + 30 = -3*q, 16 = 4*q + 8. Is 25 a factor of 7774\/6 - (5 + 64\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) be the third derivative of c**6\/30 + c**5\/30 - c**3\/3 + 5*c**2. What are the prime factors of h(2)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -17*j - 6. Let c(m) be the first derivative of 35*m**2\/2 + 13*m - 35. Calculate -6*c(a) - 13*k(a).\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*y = -0*y - 27 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uuzuuuuuuuuzuuzzuuuz. Give prob of sequence uzz.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Product of -37723268 and 1.\nAnswer: -37723268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 45 is divided by 29?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = h**2 - 4. Let u be b(3). Calculate the remainder when 69 is divided by (8 - 2) + 20\/u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 110083 smaller than 330248\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 124*t + 3000 = 154*t. Solve 103*r - 6 = t*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 104713?\nAnswer: 7, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1481714 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: Suppose -4*f - 1550 = -2*y - 3*y, 0 = -f - 4*y - 398. Let n = 392 + f. Solve n*t - 5*t - 3 = -4*b, -4*t - 4*b - 4 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 55500926 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = 20*u**3 - 444*u**2 + 31*u + 3. Let w(m) = -218*m**3 + 4884*m**2 - 340*m - 34. Let v(a) = 68*g(a) + 6*w(a). Solve v(y) = 0.\nAnswer: 0, 1\/13, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9202 less than -22033.8096?\nAnswer: -31235.8096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 0 = -43\/14433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = 129 - -321. Let g = 450.0000606 - h. What is g rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.3 - -0.3. Let q = -0.2 - -0.2. Let l = q + 0.1. Which is the nearest to h? (a) 5 (b) 0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4116 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g + k - 22 = 2*k, 5*g - 26 = 3*k. Let c(f) be the first derivative of -f**3\/3 + 3*f**2 - 2*f - 5. Calculate c(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 91283\/3*(3 - 0\/(-2 - 3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-three sixths of a hour in minutes?\nAnswer: 230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-5 - -3) + (-488)\/(-332) and (165\/(-8))\/3 - 52\/52.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 94\/(-423) - (-573)\/(-135) and 43\/1362.\nAnswer: 6810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 45601.\nAnswer: 31, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 8.601674ml?\nAnswer: 0.008601674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*i**2 + 12312*i + 12632112.\nAnswer: 3*(i + 2052)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = z - 4*j - 31, 0*j + j - 54 = -3*z. What is the remainder when (-1125)\/(-20) - (-1)\/(-4) is divided by z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -208 equal to -44985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + 2 + -6 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = y**3 + 2*y**2 - 2*y - 2. Let q be m(2). Suppose 0*s - s + q = 0. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, -2\/233, 4\/11, -0.3, 2\/15 in descending order.\nAnswer: 4\/11, 0.3, 2\/15, -2\/233, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -332916*p - 327370*p - 168327*p.\nAnswer: -828613*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3\/7, 1, 61, -6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 + -7 - -2) + -17 + 20.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -3e6 (base 15) to base 16\nAnswer: -37b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 37 divide 17353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*h**2 - 3*h**2 + 3*h**2 - 2*h**6 wrt h.\nAnswer: -240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2170406266?\nAnswer: 2, 7, 155029019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 35 minutes after 10:58 PM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 23944091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -32485020 divided by 2707085?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z be 6*(-3)\/(-6) + -3. Suppose 0 = -z*w - 2*w + 46. Calculate the remainder when 44 + (-1)\/(0 + -1) is divided by w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 201448 is divided by 100710.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g = r - 5*r, 3*g + r = -6. Suppose -2*m + 5*m - 15 = 0. Put g, m, 4 in decreasing order.\nAnswer: m, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1b (base 15) in base 9?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + g = -0*j + 13, 3*g + 15 = 3*j. Let w(q) = -q**2 + 11*q + 11. What is the remainder when w(j) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -225*h. Let s(f) = -47385*f**2. What is y(s(t))?\nAnswer: 10661625*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 4*t**3 - 7*t**2 - t - 9. Let u be k(2). Let g(w) = -7*w - 37. Determine g(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 4, i: 7, q: 1, r: 2}. What is prob of sequence qrc?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = -43 + 35. Is (-7 - f)\/((-1)\/(-109)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 5 = -h, 3*p + 2*h + 6 = p. Suppose -p = -5*z + 19. Find the second derivative of 2*i + z*i**2 - 3*i - 2*i**2 wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -b**3 - 8*b**2 - 3*b + 9. Let c = -17 + 10. Calculate p(c).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1930135\/147477 - -43\/13407. Factor -18\/11*c**3 - 40*c + 348\/11*c**2 + k.\nAnswer: -2*(c - 18)*(3*c - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(132)*4 - sqrt(132) - sqrt(132)*4*-1)\/(5*-2*sqrt(300)*6).\nAnswer: -sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 4*k**2. Let l(u) be the third derivative of 11*u**5\/60 + 14*u**2. Determine z(l(s)).\nAnswer: 484*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-552 - a + 3*a + 765)*(-3*a + 0 + 0).\nAnswer: -6*a**2 - 639*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 35091 to the power of 1\/2, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 7884752 a multiple of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 3*f**3 - 2*f**2 - 3*f - 1. Give w(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 9212 and 940?\nAnswer: 46060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve i - 31 = -37 - 29 for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from llkpllplpkekpkplllpp. What is prob of sequence ek?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from woiizwvs. Give prob of picking 1 o, 2 i, and 1 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 107 minutes after 2:32 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 553, 2645, 6125, 10987, 17225, 24833, 33805?\n\"Answer: -t**3 + 700*t**2 - t - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000000775719 to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 10165*h**5 + 1445*h**2 - 3*h?\nAnswer: 609900*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 16298954 less than 16298954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {y: 2, r: 6}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 11*k**2 + k**2 - 4*k**2 - 4*k**2 - 2*k**2. Let h(t) = -24*t**2 - 1. Give h(c(x)).\nAnswer: -96*x**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 636786 and 342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*w + i - 18, 7*i - 23 = w + 3*i for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(-17\/5)\/j)\/j*j)**(-23) assuming j is positive.\nAnswer: j**(506\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.11 + -0.04. Let w = -1.57 + z. Let s = 1 + w. Which is the nearest to 1? (a) s (b) -1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z + 4*z - 4 = 0. Let v be (-3 - z) + (-12)\/(-4). What is the units digit of v + 6\/(-2) + 20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iiivbivbb. What is prob of picking 2 i and 1 b?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - -143.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 9 in -212, -4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -9, -6, 0.2 in descending order.\nAnswer: 0.2, -4, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 275424 and 42408.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -5*g + 65. Let t(r) = -2*r**2. Give t(y(h)).\nAnswer: -50*h**2 + 1300*h - 8450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -8*j**4 + 21*j**4 - 14*j**4 + 6 - 28*j**3 + 27*j**3 + j - 1 as d + s*j**4 + g*j**3 + i*j**2 + y*j and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -0.155697 rounded to 3 decimal places?\nAnswer: -0.156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1138, 1625, 2104, 2575, 3038?\nAnswer: 3493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Let l be -1 + (-4212)\/(-10) - (-68)\/(-340). What is the greatest common factor of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -i**5 + 100*i**4 - 3696*i**3 + 59584*i**2 - 351232*i.\nAnswer: -i*(i - 28)**3*(i - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = 5.52 - 6.8. Let n = -0.78 - o. Let r = 16\/3 - 6. Which is the biggest value? (a) 0.2 (b) n (c) r (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - t = -2*z + 28225, 3*t + z + 28219 = 0. Let f = 113003\/12 + t. Let y = 3\/475 + 34669\/950. What is the common denominator of y and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17408324 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: Three letters picked without replacement from xffkkfk. What is prob of picking 2 k and 1 f?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2.60091425 - -2.6009. What is n rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h - q - 32 = q, q - 12 = -2*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 32 - 8. Suppose -4*o + 3 = -5. Suppose z - m + o = 0. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 79923316.\nAnswer: 2, 11, 1816439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 121638 and 77406?\nAnswer: 851466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*g + 1784 - 7598 = 0. Calculate the highest common factor of 570 and g.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5117298957.\nAnswer: 3, 23, 358279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -9*g**2 + 5*g + 7. Let k(w) = -4*w**2 + 2*w + 3. Let u(f) = 2*f**2 - 12*f - 26. Let p be u(8). Give p*i(v) - 14*k(v).\nAnswer: 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 9 - i + 8 - 7. Let z be h(8). Let n = 7 - 4. Solve z*a + 7 = n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = p**2 - 7*p - 3. Let v be o(8). Let i = 13 + v. What is the highest common divisor of 27 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 2*c**3 - 15*c**2 - 57*c - 17. What is u(-4)?\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 33590 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -q**2 - 35*q - 43. Calculate v(-29).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c be -2 + (7 - (-16)\/(-4)). Let k(h) = -8*h**3 + h**2 - 1. What is k(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1783 + 2638. Let q = t - 562. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -19*x**2 + 24*x + 2. Let f be q(1). Solve -f*p = 114 - 79 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7105*d - 3 + 2366*d + 2378*d + 2372*d.\nAnswer: 11*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(3*sqrt(325) + -2)**2.\nAnswer: -180*sqrt(13) + 8787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify a\/a**(-10)*a**14 assuming a is positive.\nAnswer: a**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = 30*u + 6. Suppose 2*f - 1477 + 1497 = -4*d, -25 = 5*d + 4*f. Let o(y) = -29*y - 5. What is d*g(z) - 6*o(z)?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 314521 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 28*o - 29*o - 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-41*c + 59*c + 51*c)*(1 + 6 + 0).\nAnswer: 483*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b = 720 + 536. List the prime factors of b.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 1, o: 1, z: 1, u: 1, p: 5}. What is prob of picking 2 p and 1 z?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6.9 + 8. Let j = -315.2 - -318. Let z = j + -3. Which is the closest to -1\/4? (a) 2 (b) z (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2688669191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.85 and 3.\nAnswer: 2.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 382*n**3 + 1021*n**3 - 1405*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*w - 1215 = -15*w. Suppose 0 = -3*b + w + 264. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 189\/(-126)*(-1300)\/(-39)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2 - -323410543?\nAnswer: 323410545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 57582 and 654528?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*h + 2*a - 7, 0 = 5*h + a - 875 + 879 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/2, -2, -1\/3, -26, -1\/5, 20 in ascending order.\nAnswer: -26, -2, -1\/3, -1\/5, 1\/2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -858*n**3 + 2*n**2 + 3*n - 248.\nAnswer: -5148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:41 PM and 4:20 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 5*q**2. Let c(g) be the first derivative of g**4\/12 + 2*g - 2. Let l(a) be the first derivative of c(a). Calculate l(x(s)).\nAnswer: 25*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 255906, 1023619, 2303138, 4094463?\nAnswer: 6397594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -22 (base 4) to base 9\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 i when three letters picked without replacement from qiiqqiqiiqiqq?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = n - 2. Let f(j) = j - 2. Let z(d) = d - 2. Let x(a) = -4*f(a) + 3*z(a). Suppose -4 = 3*g + 2. Let p(h) = g*y(h) - 3*x(h). Differentiate p(t) wrt t.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z = 2*a + 37, 4*a = -z + 6*z + 25. Sort 0, 1, z, 4 in ascending order.\nAnswer: z, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 7040 and 1584?\nAnswer: 63360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6394487.\nAnswer: 11, 43, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 13 - 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mf when two letters picked without replacement from idmhhmfmmihmmimfddff?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*c**2 - c**2 + c**2 + (c - c + c)*(0*c + 2*c + 0*c) + 261*c**2 + 16029*c - 16029*c.\nAnswer: 261*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -9*w + 83. Let l be h(9). Let y = 3 + -1. Suppose y*i + 0*i - 10 = 0. Solve 0 = -l*f - 6, -4*f = i*j - 7*f - 9 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = 9 - 9. Suppose 0 = 10*y - x*y - 10. Let v = -2\/11 - -37\/22. Which is the closest to -0.5? (a) v (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) be the first derivative of 0*d + 3 + 1\/120*d**5 - 1\/48*d**4 - 1\/6*d**3 + d**2. Let v(f) be the second derivative of b(f). Factor v(l).\nAnswer: (l - 2)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0017801651671 to 7 dps.\nAnswer: 0.0017802","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 65934 and 222.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2 + 4. Does 6 divide p\/((-2)\/(-13)) - 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 9422532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*m = 20*m + 2156. List the prime factors of m.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = h**2 - 6017*h - 96616. Give y(-16).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in r**3 - 6 + 25674459*r - 25674459*r.\nAnswer: r**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 110 - (2\/11 + (9\/11 - 1)) and 135.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -2000002 (base 5) to base 14\nAnswer: -b564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*r - 6 - 24. Suppose 3*z - 15 = 0, -z + 140 = -5*h - r*z. What are the prime factors of h*27\/(-14) - 12\/(-42)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - (-1 - (-3 + 5) - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 42 + -30. Suppose 0 = 2*i - i. Let c(l) = -l**3 - 22*l**2 + 77*l + 50. Let y be c(-25). Solve y*s + 4*s + m = i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - -1 - (36 + -25 + -31 - 6).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10011011011011 + 100100100011?\nAnswer: -1110110111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3228704682.\nAnswer: 2, 3, 7, 2017, 38113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -9? (a) -1\/2 (b) 4 (c) -2\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -538, -1066, -1614, -2194, -2818, -3498, -4246?\n\"Answer: -2*m**3 + 2*m**2 - 520*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 2 - 6*k**2 + 3650*k**3 - 3235*k**3 - k + 8*k**2 + (-3*k**2 - 3*k**2 + 4*k**2)*(0 - 2*k + 0).\nAnswer: 419*k**3 + 2*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -0.59?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (201333\/(-170828))\/(3\/28)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*v - 4464 = 3*v. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify i*i*(i*i**(-22)\/i)\/i*i**(4\/7) assuming i is positive.\nAnswer: i**(-143\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + 4 + sqrt(19)*2 + 1)**2*6.\nAnswer: 192*sqrt(19) + 840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*s**3 + s**3 + 2*s**3)*(-2 - 1 + 1) + s**3 - 3*s**3 + 4*s**3 - 95*s - 163*s**3 - 74*s + 166*s.\nAnswer: -157*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 3.1 + -0.2885173489\nAnswer: 2.8114826511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ftl when three letters picked without replacement from {o: 3, f: 5, l: 2, t: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 2\/9 (b) -4\/1549 (c) 1.3 (d) -5 (e) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express 3 + 2 - 2309*r + 2 + 7874*r - 6 as f + b*r and give b.\nAnswer: 5565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -3*7\/7*(-1)\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -13\/2 in 0.06507, 0.1, 41?\nAnswer: 0.06507","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 4, -15, 3, -2 in ascending order.\nAnswer: -15, -3, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -12107, -11923, -11619, -11189, -10627?\nAnswer: -9927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -267*a - 257 wrt a?\nAnswer: -267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -3*j**2 + 55*j + 3. What is l(19)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -w - 1 - 10 = -4*m, -4*w - 22 = -5*m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 - 502*b + 330*b**2 + 508*b + 411*b**2.\nAnswer: 741*b**2 + 6*b + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (sqrt(90) - ((sqrt(90) - (sqrt(90) + (sqrt(90) - sqrt(90)*3)) - sqrt(90) - sqrt(90)) + sqrt(90) - sqrt(90) - sqrt(90)))\/sqrt(2) + 0)**2 + 5.\nAnswer: 24*sqrt(5) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = -3*p + 18. Let b(r) = -p - r**3 - 6*r - 26 + 0*r**3 + 50 - 7*r**2. Give b(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -34987048 minus -4.8?\nAnswer: -34987043.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*p - 2 = 2*o + 10*p, -p = 4*o + 4 for o.\nAnswer: -1","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 hhlhhlhhlhhhhh.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 41960*v = 41935*v - 200 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 334092 is divided by 409?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q be 30\/8*(20704\/48440 + 30\/(-70)). Do q and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.3032806 * -4.\nAnswer: -1.2131224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) be the second derivative of w**4\/12 - 772*w. Let g(d) be the third derivative of d**5\/4 - 3*d**2. Calculate g(x(b)).\nAnswer: 15*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 756 and 798?\nAnswer: 14364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 773*a**2 + 19 + 67*a - 770*a**2 + 1. Calculate m(-22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*sqrt(28)\/sqrt(4) + 3*(sqrt(14)\/sqrt(2) + sqrt(7)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 2 f when three letters picked without replacement from {f: 4, v: 6}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = -92.9 + 86. Let l = f + 9. Let n = l - 3.1. What is the biggest value in n, -12, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 0 + 8749?\nAnswer: 8749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/3)\/((((-627)\/1276)\/(-19))\/((-45)\/20))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be -1*7*8\/(-28). What is the tens digit of 1694\/26 + v\/(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6\/14)\/(-1*(-4)\/(-14))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + 16 = 4*f, 2*z - 7*z - 3*f = -35. Suppose 3 - 24 = -3*s. Calculate the remainder when s is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-5)\/((-70)\/(-12))*((-5474)\/(-23))\/(-17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 4502648 a multiple of 739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1484507*k**5 - 857526*k**2.\nAnswer: -89070420*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 8 - 4. What is the biggest value in -0.2, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 + -7591?\nAnswer: -7591.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 10 + -6. Suppose 5*y = -p*a + 53, 4*y + 0*y + 44 = 4*a. What is the derivative of 18 + 4*t**2 - a + 8 + 9*t**2 wrt t?\nAnswer: 26*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2493126 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 4103, 4100, 4085, 4052, 3995, 3908, 3785, 3620?\n\"Answer: -n**3 + 4*n + 4100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sm when two letters picked without replacement from xmsxjmxmmxmmmmms?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 2202 * -0.2\nAnswer: -440.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) be the third derivative of 0 + 0*r**3 - 1\/192*r**4 + 0*r - 1\/480*r**5 - 18*r**2. Suppose o(b) = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3322790501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/20866785 at least as big as 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*p + a + 4532, 3*a = 3*p - 3705 + 297. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (7 - 3 - 1)*(0*l - 3*l + 6*l) + (2*l - 3*l + 2*l)*(1 - 2 - 4) as b + n*l and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 110 and 275?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.2, 23.34, 24?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 15462 - 15454. Solve -7*f + 6 = -x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 3 and 6651.\nAnswer: 19953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(320) + -4 + sqrt(320) + 1)*2*1 + (sqrt(320)*2 + 5 + (-2*sqrt(320)*-3)**2)*1.\nAnswer: 48*sqrt(5) + 11519","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that -2*c**2 - 182006*c - 12367160 = 0.\nAnswer: -90935, -68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 201 + -1345130352.4?\nAnswer: -1345130151.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c = -8 - -8. Suppose -2*s + s - 4 = c. Which is bigger: -6 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -c**3\/2 + 9*c**2\/2 + 2*c - 18.\nAnswer: -(c - 9)*(c - 2)*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zmlmzzllmlzlmzz. Give prob of sequence lzl.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -25*f. Let a(h) = 3*h. Let y(s) = -12*a(s) - t(s). Let p(q) = 6*q - 4. Calculate p(y(l)).\nAnswer: -66*l - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Add 938.2577 and -5.7208.\nAnswer: 932.5369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 110156 is divided by 108?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 781 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-6)\/(-8) - (-2)\/(-4). Let m be 2\/(-24)*(-112)\/(-42). What is the closest to -1 in 0.5, m, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-8)\/(-12))\/((-1)\/(-36)). Suppose 3*g - g = d. Let s be (-2)\/8 - (-3)\/g. Let w(l) = -l**3 - l - 11. Calculate w(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -7 - -15. Suppose -5*j + k = 2*t - 14, -5*t + j = -55. What is the least common multiple of 8 and (-1)\/(3 + (-34)\/t)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12*(-12)\/40)\/(2772\/990).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 29*54.2701\nAnswer: 1573.8329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-4)\/158)\/(4\/8). Let v = 221\/316 - m. Is v less than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -15*o**4 + 8830*o - 8832*o + 113 + 30*o**4 - 14*o**4 + 3*o**2 to the form t*o + h*o**4 + n*o**3 + p + r*o**2 and give p.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*i*k**4 + 14*i - 203*k**4 + 2*k - 2748 with respect to k.\nAnswer: -12*i*k**3 - 812*k**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 53555502 (base 6) to base 13.\nAnswer: 43702a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -742606, 2\/5, 8\/7 in increasing order.\nAnswer: -742606, 2\/5, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 556, 1110, 1664, 2218?\n\"Answer: 554*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 503150 to the nearest ten thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 27829015.\nAnswer: 5, 19, 457, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 116 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify l*l**2*l**(1\/27)\/l*(l**(2\/3))**27 assuming l is positive.\nAnswer: l**(541\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -50\/287 and -17\/164?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*o - 3*q - 6, o = -3*o - 4*q - 8. Suppose o = -2*x + g + 1189, -g - 1 = -0*g. What is the common denominator of 36\/x*21*2 and -27?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (1 + 1)\/(4\/26). Let f = -4 + y. Calculate the lowest common multiple of f and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:08 AM and 10:21 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(240) - (sqrt(240) - (sqrt(240) - 2*sqrt(240)))) + (-2*sqrt(540))\/sqrt(9))\/(4*sqrt(96)\/sqrt(128)*-5).\nAnswer: 4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.45 (b) -17772 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 379369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 16*a + 12 + 6 - 18*a + 1. Determine r(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:58 AM and 1:07 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -16a4b - -37?\nAnswer: -16a14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -j - 5*m - 1 - 12, j - 5 = m. Let l(x) = 5 - 5 - x**2. Let i(f) = 5*f**2 - 2*f + 1. Let s(d) = -i(d) - 6*l(d). Determine s(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -632532, -2530158, -5692866, -10120656?\n\"Answer: -632541*l**2 - 3*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 663 minutes after 1:29 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -65510, -65509, -65508, -65507, -65506?\nAnswer: -65505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 4 - 23bc?\nAnswer: -23b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 5) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -2.5 times 6045\nAnswer: -15112.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 3*m**3 - 2*m**2 + 6*m - 16. Let c be g(2). Solve -6*q = -0 + c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(2\/7))**(13\/3))**(2\/33)*(j**8\/j**(1\/3))**29 assuming j is positive.\nAnswer: j**(154129\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 4121 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 12, 27, 42?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3608 divided by 902.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence as when two letters picked without replacement from asa.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -596 and -12059?\nAnswer: 11463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 6*p**2. Suppose -10*w + 0*w = 20. Let i(l) = l - 2. Let b(y) = 1. Let z(m) = w*b(m) - i(m). What is f(z(s))?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 628 minutes after 12:31 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1120.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-z + 3*z - z)*(z + 4*z - z) - 11 + 11 + 2*z**2 - 59*z + 31*z + z**2 + 30*z - 2.\nAnswer: 7*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-26)\/(-43) + (-8)\/40. Let p = -1\/215 + k. What is the nearest to 1 in p, 4, -2\/13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, -4, -20, 7 in increasing order.\nAnswer: -20, -4, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1906105, 3812239, 5718397, 7624579?\nAnswer: 9530785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 89371145?\nAnswer: 5, 17874229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 17*r + 7. Let x(q) = 34*q + 13. Let l = 3925 - 3931. Give l*x(b) + 11*a(b).\nAnswer: -17*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 9 = -4*x, -2*u - 3 = x - 9. Suppose -c + 3 = -x*c. Find the second derivative of -w - 5*w**3 - w + c*w**4 + 5*w**3 wrt w.\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 8\/(-10)*(-40)\/(-16). Let m be s\/1 - 4*12\/(-8). Let p(h) = -h**3 + 5*h**2 - 3*h - 5. Determine p(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) be the second derivative of 3\/10*v**5 - 2*v + 0*v**3 + 0*v**4 + 0 + 0*v**2. Suppose -5*j + 25 = -0*j, -4*b - 4*j + 16 = 0. Determine t(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 137505486 divided by 4386\nAnswer: 31351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(171)\/((sqrt(9) - sqrt(9)*2) + sqrt(9) - sqrt(9)) - ((sqrt(304))**2 + 5).\nAnswer: -309 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 0 bigger than 2\/381945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1883\/2 + -941. Let i = 0.1 - -0.3. Let l = 5 + -5.4. Which is the nearest to u? (a) l (b) i (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(sqrt(475)*2*-6 + -6*-2*sqrt(475) + 1 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 971 and 758284001?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 2*v - 2*m + 15 = 0, -6 = -v + m. Differentiate v - 5 + 0 - 2*d wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -127 + 129. Find o such that -999*o - j*o**4 + 8*o**3 + 999*o - 8*o**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.07, -1\/6, -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 12a (base 14) to base 7.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1603*o - 3271*o - 2 + 1601*o)*(2 - 2 - 2*o**3) to the form h + n*o + y*o**4 + m*o**3 + g*o**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12 + 8 - -5)\/(-9 + (-18)\/36).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 times -1.426?\nAnswer: -2.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19208.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1110000101 + -1001111011?\nAnswer: 100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u + 2 = -13. Let s = u - -7. Let x(q) = -3*q**3 + 2*q**2 - 2*q - 4. Let h(c) = 13*c**3 - 8*c**2 + 9*c + 17. Let o(p) = 2*h(p) + 9*x(p). Give o(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 24246 = 13*l + 24064 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 q when three letters picked without replacement from jqqqqqjj?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is (-1)\/(-3) + (-660)\/(-45) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l. Suppose 41*y = 37*y + 3*m + 106578, 5*y - 133234 = -2*m. Let c(k) = -26646 + 67*k + y. Calculate c(f(j)).\nAnswer: 67*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -54, -235, -544, -981, -1546?\nAnswer: -2239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be 44\/8 - (-3)\/2. Let d be 3\/4 - 55*(-8)\/(-160). Let t = c + d. Sort -5, 4, t in descending order.\nAnswer: t, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-111)\/74*10\/12*4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1468543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 26211450 to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = -14 + 23. What is the greatest common divisor of 36 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4 + -4.4. Let q be (-1 - -4)\/(1320\/80 + (-24 - -6)). What is the nearest to 3 in q, o, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12 divided by 24?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide -4999491 by 63.\nAnswer: -79357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 9 + (-10 + (-2 - 1) - -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.5? (a) 1 (b) -5 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(1\/15)*i**8 assuming i is positive.\nAnswer: i**(121\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 3*f**3 + 108*f**2 + 90*f + 3208. What is n(-36)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 10017*f**2 - 807*f + 3236. Let x be q(4). Round x to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*u - 5*f + 79, -4*f + 54 = -4*u + 6*u. Calculate the remainder when 44 is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 50, 76, 98, 116, 130, 140?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 28435096402.849985 + -28435021417. Let p = g - 74985. Let s = p + -0.85. What is s rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2a0 + -124051?\nAnswer: -123861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -s**2. Let u(c) = -7*c - 9. Give h(u(n)).\nAnswer: -49*n**2 - 126*n - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 1546, 3006, 4468, 5932, 7398, 8866?\n\"Answer: a**2 + 1457*a + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f = -5*s - 11, -33 = 2*f + s - 4*s. Let v = f + 14. Calculate the remainder when v is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -2*x. Let u(m) = -33*m**2 + m + 1. Let y(c) = 1241*c**2 + 5*c + 2. Let w(o) = 5*u(o) - y(o). What is r(w(v))?\nAnswer: 2812*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/87, 1\/4, 1, -4, -5\/2 in increasing order.\nAnswer: -4, -5\/2, -2\/87, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 137\/53280 and -83\/53428.\nAnswer: 19234080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0 (b) 0.9 (c) -0.163 (d) 2\/15 (e) 0.14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5 + 6. What is the least common multiple of 4 and (1 + y)*(13 + -4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 942, 4091, 9328, 16653?\n\"Answer: 1044*x**2 + 17*x - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -279 - 1297.\nAnswer: -1576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -d**3 - 16*d**2 - 111*d - 1448. Calculate v(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1656761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2 + -7 + (-70 + 6)\/(-1). Calculate the remainder when u*3*(9 + (-156)\/18) is divided by 0\/(-1) - 30\/(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 33 = -2*w, -5*w + 8 = -4*z + 79. Let c = w - -24. What is the tens digit of 4\/c*24*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -32*t. Let w(g) = 2*g. Give b(w(d)).\nAnswer: -64*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*p - 10, -4*w + 8*w + 5*p = 1073811. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1008 and 315252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 202910 is divided by 1828.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -1165008432613+0.1\nAnswer: -1165008432612.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is seventeen halves of a millimeter in micrometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 1 times 57077\nAnswer: 57077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 2617*j - 19995 - 15109 - 2616*j as h*j + m and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 142375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-34)\/((175\/(-2625))\/(202*3\/10))?\nAnswer: 2, 3, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 90 - 77. What is the greatest common divisor of k and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -162.02 - -160. Let p = h - -2. Sort 3\/7, p, -2 in increasing order.\nAnswer: -2, p, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15870937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 0.2*-0.8446\nAnswer: -0.16892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v = 269*y - 266*y + 6969, 2*y + 1746 = v. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -65 + 73 - (28 - 2) - -44.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (-7 + 16 - 5)*(-2*r**3 - 1661 - 31*r**2 + 1661) as i*r**2 + a*r + p*r**3 + u and give i.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) be the third derivative of b**5\/15 - 14*b**2. Factor r(v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -17*c + 50 - 16 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3 - -6. Suppose 0*n + 2*n - 4 = -2*t, 0 = 4*n - 12. Let g = -5934.8 + 5935. Which is the nearest to 2? (a) g (b) t (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) be the second derivative of s**4\/12 - s**3\/3 + 2*s. Let g be u(3). Let x = -0.84 + 0.94. Which is the closest to x? (a) -7 (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -l**2. Let n(r) = r**2 - r + 1. Let g(u) = 12*u**2 - 11*u + 11. Let f(p) = -2*g(p) + 22*n(p). Calculate f(t(q)).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(600) + (-2*sqrt(600) - sqrt(600)))\/sqrt(12) + sqrt(450)*1 + (sqrt(50)*-2 + 1 - sqrt(250)\/sqrt(5)*2))*2)**2.\nAnswer: -120*sqrt(2) + 1804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 26606 (base 8) in base 14?\nAnswer: 4366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -636*n + 7458 + 6534 = 0 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 1098*d - 5806.\nAnswer: 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2\/148643751 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -36*j**4 - 4*j**2*z + 13*j*z + 2*j - 2*z wrt j.\nAnswer: -432*j**2 - 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(sqrt(272)*1 - sqrt(272)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/7 - 33\/(-63)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4 - -1100?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0633585279 to six decimal places.\nAnswer: 0.063359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 331 minutes after 9:17 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 11632584 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x, 1 j, and 1 h when three letters picked without replacement from {x: 3, h: 1, j: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u be -1 - (1 + 0\/2)*-1. Suppose u*i + i = 0, 4 = 2*o - 2*i. Suppose -3*h + 294 = o*j, 0*h - j = -3*h + 285. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*s + s + 4*s)*(-3 - 2 + 6) + (-2*s + 4*s + 1 + 1)*(1 + 13 - 8)*(2 + 0 - 3).\nAnswer: -10*s - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2669, 2668, 2667, 2666?\nAnswer: 2665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -8725*p - 8738*p - 3948 = -17510*p for p.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -556 - -558. Solve -g*i - 22 = -28 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -468756 (base 11) in base 15?\nAnswer: -ea4db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be 33\/(-3) + ((-182)\/42 - -16). Suppose 0*o + j*o**2 + 0 - 4\/3*o**3 = 0. What is o?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 27\/45 + 6\/15. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**1)**4\/(u\/(u**0\/u))**(13\/5) assuming u is positive.\nAnswer: u**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 38963824 is divided by 76.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -h**3 - 62*h**2 + 125*h + 7. Determine y(-64).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 416904?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1200 or -1199?\nAnswer: -1200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j*j*j**(2\/3))\/(j*j**(-1\/2)))\/(j*j**(1\/2)\/j)**(20\/3))\/(j**(-1)\/j**5*j*j\/(j**(-3)\/j)*j*(j*j*j\/((j**(2\/5)*j)\/j))\/j) assuming j is positive.\nAnswer: j**(-113\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = -46\/105 - -58\/15. Factor 8\/7 + 18\/7*w**2 + d*w.\nAnswer: 2*(3*w + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify w\/(w\/w**10)*w**(-6)*w**21\/(w\/(w**(-7)\/w)) assuming w is positive.\nAnswer: w**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = -105 - -108. Let a be (-1)\/p*0 + -2. What is the remainder when 63 is divided by (77\/(-21))\/(a\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 130925594*f**5 + 6*f**2 - 2691633*f - 2 wrt f.\nAnswer: 7855535640*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 6 + -6.14. Let o = -0.2 - s. What is the second smallest value in -0.2, -2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 9}. What is prob of sequence ddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 50944?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = 756.7 - 757. Which is the closest to z? (a) -0.3 (b) 3 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 264 = -24*i + 22*i, 5*u = 3*i - 396. What is the lowest common multiple of i and 33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 175*q**3 - 109*q**2 - 2*q + 2. Let w(m) = -174*m**3 + 108*m**2 + 3*m - 3. Let u(z) = -2*w(z) - 3*y(z). Find the third derivative of u(n) wrt n.\nAnswer: -1062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 65 and 659360.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 3*s + 0)*(-2 + 1 + 0) + 10*s + 1 - 1.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*j - h - 656, 3*j + 3*h = -0*h + 636. List the prime factors of j.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:47 AM and 6:10 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 3 - 2)*(-3 - 7*y + 3) - 17*y + 7*y + 5*y + (2 - 3 + 3)*(2*y - 2*y + y) - 5*y + 6 - 6 - 3*y + 5*y - 3 + 0.\nAnswer: y - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -6*r - 33. Let k(t) = -3*t - 16. Let i(s) = 5*k(s) - 2*w(s). List the prime factors of i(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -22001 + -1?\nAnswer: -22002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 3*q = -0*r + 18, r + 4 = q. Let w = 7 + r. Let t be (3 - w) + 0 + 19. What is the greatest common divisor of 168 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (937*a**3 + 19629 - 39257 + 19628)*(-3*a**2 + a**2 + 0*a**2).\nAnswer: -1874*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 8*n - 15814*n**3 + 8*n**2 + 2 + 15829*n**3 + n**4 - 8*n in the form z*n**4 + y*n + m + i*n**3 + u*n**2 and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 49909919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 4*s**2 - 2*s**3 - s**3 + 2*s**3 - s. Let p be x(4). Let f(h) = -h**2 - 3*h + 8. Let y be f(-4). What is the second biggest value in p, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(4*sqrt(1700)*-5 + -2) + 2)*6.\nAnswer: 60 + 4800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - (-2 + 0) - (3 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve l**3\/6 + 56*l**2\/3 + 895*l\/2 + 3075 = 0 for l.\nAnswer: -82, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -7*o + 9. Let s be m(-4). Suppose -2*g = a + 27, 0*g - 6 = -3*g. Let b = s + a. Calculate the remainder when 45 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -1 + 0 + (-87403)\/(-48). Let d be 49311\/27 - (3 + -2 + 0). Let u = r - d. Find the common denominator of u and -59\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.01677972 to three decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0*57358.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 255, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1 + 1. Suppose -6*x = 3*t - 4*x - 959996, 0 = -x - v. What is t rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + (8*(-35)\/(-63))\/(-2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-k**2 + 0*k**2 + 3*k**2)*(-7*k - 2*k + 3*k) - 4*k**3 + 4*k**3 + 3*k**3.\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 0.13, 2\/7, -0.4, 134, -3\/4, -4 in decreasing order.\nAnswer: 134, 2\/7, 0.13, -0.4, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 2*y - 12. Calculate the common denominator of h(15) and ((-21)\/24)\/(1\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) be the second derivative of o**4\/12 - 35*o. Let m(x) be the second derivative of x**4\/6 + x. What is a(m(g))?\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a = -4 - -7. Let v(x) = 8*x**2 + 4*x - 3. Let r be v(a). Suppose 0*p = -3*m - p + 229, 0 = m - 2*p - r. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express p + 3 + 2*p**3 - p + p**2 + 0*p**2 as j*p**3 + b + o*p + z*p**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -3780*d + 792*d = -247724 - 63028 for d.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 37107 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-3)\/(-4) + 624\/(-64))\/(-1). Suppose y*n - 3600 = 4*n. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2 + -2. Let l(c) = j + 41 - 2*c + 5*c**2 + 20*c + 16*c. Let y(u) = -5*u**2 - 33*u - 42. Let n(w) = -3*l(w) - 4*y(w). Factor n(m).\nAnswer: 5*(m + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1 + 2. Is 4 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 176081863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -1.5971 times -0.3\nAnswer: 0.47913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = z**3 + 3*z**2 - 3*z + 5. Let b be o(-4). Let u = b - 0. Let h be 44\/28 - 4 - -3. Which is smaller: h or u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 102286501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide 6402 by 39.\nAnswer: 2134\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -436495100 to the nearest 1000000.\nAnswer: -436000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -74317, -149001, -223689, -298381, -373077?\n\"Answer: -2*r**2 - 74678*r + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = f + 19*s - 16*s, -4*s + 24 = -2*f. Let x(r) = -1. Let k(g) = 2*g + 7. Let o(q) = f*x(q) - k(q). Calculate o(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 11 - 5. Let l(m) = m**3 - 4*m**2 - 2*m + 6. Let j be l(5). Let v be (j\/14)\/(6\/16). Solve -5*g = -v*n - 13 - 0, -n = -4*g + a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*y - 5 = -21 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -2*y. Let k(n) be the first derivative of n**6\/120 + n**3\/3 + 4. Let p(x) be the third derivative of k(x). Calculate b(p(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 138811.\nAnswer: 127, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a = -3 - 7. Suppose a = -3*j + 4*x - 7, 17 = 5*j + 4*x. Suppose -j = -y + 38. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 583 minutes before 5:21 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-66)\/(-11) + (440\/(-90) - 5\/45). What is the fourth smallest value in 8, 5, 2\/57, t?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1413385 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -90 = 6*q - 3*q. Let p = 39 + q. Sort p, -3, 10 in descending order.\nAnswer: 10, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3080 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 456307 to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -6563460 divided by -1312692\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = c**2 - 1. Let q be 0 + (-1 - -1) + 3. Let t = q - 4. Let p(g) = -2*g**2 + 2*g + 7. Let h be 3*(-3)\/6*(-27 - (-2093)\/69). Determine h*s(v) + t*p(v).\nAnswer: -3*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 2*j + 11. Let z be s(-6). Let h = z - -96. List the prime factors of h.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -17515951, -35031896, -52547841, -70063786, -87579731, -105095676?\n\"Answer: -17515945*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18\/(-20)*(-930)\/1674*2*(-30)\/(-17).\nAnswer: 30\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 1, e: 3}. What is prob of sequence pee?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -3, 3, 144, 17, -1 in increasing order.\nAnswer: -3, -1, 3, 5, 17, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4.1 + -0.1. Let g = f + -4. Let b = 790.5 + -790. Sort b, 2\/3, g, 4 in ascending order.\nAnswer: g, b, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 1, -4, -386, 5, 3997\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (17\/9)\/((-49064)\/(-110394))\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -5 - -9. Suppose -b = f*b - 840. Suppose -k = -3*k + b. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 5, 0, 4677 in decreasing order.\nAnswer: 4677, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 38 (b) -91 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*w - 5*w + 36*w**3 - 33*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 9754 times -408\nAnswer: -3979632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*y**3 - 92*y**2 + 700*y - 1764.\nAnswer: 4*(y - 9)*(y - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -430*o**5 - 2*o**4 + 2*o**2 + 3*o + 390 wrt o.\nAnswer: -25800*o**2 - 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 60.54 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 17524 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 2 r when three letters picked without replacement from {w: 2, t: 2, r: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 530995?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = -4*t + 21. List the prime factors of t\/6 - 4\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 7*h**2 + 218*h - 994. Determine r(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.18999951 - -0.19. Let h = 0 - o. Round h to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 31617430?\nAnswer: 2, 5, 13, 107, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -1295 divided by -259?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = b**3 - 11*b**2 - 4*b + 68. Let r be j(11). Solve 10 = 2*k + 3*m, 2*k - 5*m = -2*k - r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -67*m - 208. Calculate g(-8).\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (3515 + 3864 - 6792)*(-1 - 4*s + 2*s + 5)*(s + 2*s - s).\nAnswer: -2348*s**2 + 4696*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = n**3 + 9*n**2 + 9*n + 7. Let x be l(-7). Let r = -29 + x. Solve r = 3*t + 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - 6 = 2*l, u = 3*l - 4*l - 15. Let j = 16 + l. Find the third derivative of -2*m**2 - 2*m**5 + 0*m**j + 3*m**2 wrt m.\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (27*a - 27*a + 11*a**3)*(-3 + 169 + 30).\nAnswer: 2156*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.66 (b) -71850 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -16 in -3, -2\/39837, 2\/41?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*z**2 + 226198*z + 169193076.\nAnswer: 2*(z + 753)*(z + 112346)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t be 6 + -3 - 4\/2. Let y be 5 + (-1)\/(-1) + t. Let w be ((-5)\/(-1) - 2)*2. Solve -4*m + 5*o - y - 8 = 0, 0 = 2*o - w for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 11936977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-9)\/3 - -1) + -2247. Let m be 3980\/5 - 15*(-1)\/3. Let u = l - m. What is u rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -20*b**3 + b**2 - 2*b + 1. Let a(d) = -44*d + 177. Let v be a(4). What is c(v)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*o - 17 = 24*w - 21*w, 2*o = -w - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2)\/3 - 394\/(-6). Find the first derivative of 4*f**4 - t + 73 - 2*f**4 wrt f.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 13.4 - 17. Let p = g + 3. Let k = p - -1. What is the smallest value in 1, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (128 + 97 - 29) + -88.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -54808323 take away 69?\nAnswer: -54808392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -296 divided by -37.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0047872358 to six dps.\nAnswer: 0.004787","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -1368246000 rounded to the nearest 1000000?\nAnswer: -1368000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 52037 - 107797 = 135*w - 43610 for w.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -6*o**2 + o**2 + 2 + 2*o**3 - o**3. Let w be s(5). Solve 0 = -w*p - 2*p - 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0210496 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - 5*d = -6 - 3, -4*p - 4*d = -12. Suppose 0 = -b + 2*c + 23, -4*c - c - 65 = -p*b. Solve j - 12 = 2*f, -j + b = -4*f - 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 38923 minus -4?\nAnswer: 38927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w = -5*t + 84 + 246, -2*w = 3*t - 208. Let q = -48 + t. Suppose -q = -j - 3*j. Calculate the lowest common multiple of 4 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -85*b - 1064 = -21*b + 12*b for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*p**2 + 1239*p - 400*p - 395*p - p**2 - 370*p.\nAnswer: -p**2 + 74*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 42593.01 years in months?\nAnswer: 511116.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 - 2*z)*(4*z + 2*z**2 + 55 - 55).\nAnswer: -4*z**3 - 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide 5 by -192.\nAnswer: -5\/192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 11370362879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7)\/((-7)\/24)*3249\/(-45486).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 31*m + 67. Let i be x(-2). Is 18194 + 2 + (4 - i) + 6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 2 = 4*x. Let k(s) = s**3 + 34*s**2 + 36*s + 100. Let m be k(-33). Let d be x\/m - -2 - -24. What is the highest common factor of d and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 670190567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = y - 11. Let u be z(13). Let i(s) = s**2 - 3*s + 2. Let g be i(u). What is the units digit of (-3 - -5)\/(g - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nvvhnhnn. What is prob of sequence hvvh?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1295603731 plus 46?\nAnswer: 1295603777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 5? (a) 131 (b) 4 (c) 3 (d) -2 (e) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 3*j, -o - j + 2*j + 16 = 0. Calculate the smallest common multiple of ((-98)\/(-35))\/((-9)\/10 - -1) and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*h**5 + 3*h**5 - 2*h**5)*(0 - 1 + 6).\nAnswer: -10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l be (3 - 0)*(112\/6)\/(-4). Let a = l - -18. Solve -2*w + 3*p + 0 = -2, p = a*w - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -418 - -423. Which is the second smallest value? (a) m (b) -2 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 5, 775, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -6.471+-27.678\nAnswer: -34.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 6237026, 12474046, 18711070, 24948098?\n\"Answer: 2*u**2 + 6237014*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -99 + 92. Let p = 0.1 - 0.1. What is the nearest to 1 in q, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 398625 less than or equal to 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - n + 1112997 = 0, -7*z - n - 742003 = -5*z. Round z to the nearest 10000.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 1, z: 2, g: 4, a: 4}. Give prob of sequence qz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1291 - -2479. What is the smallest common multiple of z and 1320?\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.06 or 1.759?\nAnswer: 1.759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l, 1 x, and 1 t when three letters picked without replacement from {t: 5, l: 2, x: 4}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 34\/15329013 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 1, c: 6, m: 4}. What is prob of picking 3 c and 1 b?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) be the third derivative of g**7\/1680 + g**6\/120 + 3*g**5\/80 - g**4\/4 - 2*g**2. Let w(u) be the second derivative of h(u). Factor w(a).\nAnswer: 3*(a + 1)*(a + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 9235 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -5610 divided by 102\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 12 (base 12) in base 6?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 121*v + 105 = 106*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 4 - 4*o + 1 + 7 + 5*o. Let n be h(-10). Suppose 1 = 2*k - 3, n*k - 164 = -5*c. Calculate the remainder when c is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-9460)\/1161)\/55*3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6834030 and 980.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(65) + (sqrt(65)*-1*2 - sqrt(65)))*-1)\/(sqrt(30)\/(sqrt(960)\/sqrt(10))).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 208 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 141 divide 24\/80*(-410302)\/(-3) - 40\/(-50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -3377, -6754, -10131, -13508, -16885?\n\"Answer: -3377*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -o + 184. Let u be n(0). Let c = u + 91. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 1159674*x - 2*x**3 + x**2 + 0*x**3 - 1159929*x + 5*x**3 in the form w*x**2 + z*x**3 + s*x + p and give s.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 2 - (4 + -2) - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = n - 3 + 4, 3*i = -2*n + 1. Suppose -2*v + i = -v, -4*y - 2 = 2*v. Let b(c) = -2*c**3 - c**2 - 2*c - 1. Let h be b(y). Solve -h*u - 11 = -3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -3*a**2 - 9*a + 19. Let x be f(-7). Is 13 a factor of x*((-9)\/3 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -u**3 - 14*u**2 + 12*u + 30. Let o be t(-15). Let j be ((-5)\/(75\/12))\/((-10)\/o). Let h(r) = 3*r + 3. What is h(j)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -21210 + -4020?\nAnswer: -30230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1260 = 54*o - 58*o. Is 35 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = 18*v - 28. Let s(l) = -11*l - 340. Let y(r) = 9*r + 272. Let u(d) = 4*s(d) + 5*y(d). Give g(u(x)).\nAnswer: 18*x - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.59 + -0.79. Put 4\/15, 4, t, 0 in ascending order.\nAnswer: t, 0, 4\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 11 + -9. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*p**3 + 0*p**3 + 3*p**3)*(2*p - 2*p - p) + (1 - 2*p - 1)*(353 + 256 + 648)*(3*p**3 + 0*p**3 - 2*p**3).\nAnswer: -2515*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (-2 - 1) + 7 + (-13 - -6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.025 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 4*j + 5 = -9*j, -4*o - 3 = 3*j. Let i = 9 - o. What is the second biggest value in 3, -2\/11, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:35 AM and 9:49 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = -123 - -125. Suppose y*n = 4*p + 34, 13 = -5*p + 2*n - 28. Let u(j) = -j**2 - 5*j + 9. Give u(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + b + 17 = -2*h, -4*b - 20 = 0. Let z be (4\/(-10))\/(-8 + (-328)\/(-40)). Let w = -5 + 10. Put z, h, w in decreasing order.\nAnswer: w, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -96, -226, -414, -690, -1084, -1626, -2346?\nAnswer: -3274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 149887034 to the power of 1\/2, to the nearest integer?\nAnswer: 12243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((b*(b*b*b\/(b*b**1*b)*b*b)\/b)\/(b\/b**(-17)))**(28\/5))**(-21))**(-40) assuming b is positive.\nAnswer: b**(-75264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p be 28*(14\/8 - 0). Suppose 3*a - m = 8, -5*m + 9 + 2 = 2*a. Suppose p = a*j - 2*j. Calculate the remainder when j is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -6668907, -6668908, -6668909?\n\"Answer: -a - 6668906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 81 - -2316. Suppose 5*x = -2*f + 963, -x + s = 5*f + x. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1165943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*q - 3*m - 29, 0*q + 3*q + 3 = -5*m. Suppose -2*c + a = 2*c - 75, 4*a + 60 = q*c. Calculate the remainder when c is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -n**3 - 3*n**2 + 9*n - 3. Let v be u(-5). Let m be (-1 - 4\/2)*-1. What is the derivative of -8 + 0*d**3 - 9*d**m + 1 - v wrt d?\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 793777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -12312311 (base 4) in base 12?\nAnswer: -14305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 54801586?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-11)\/((-924)\/16))\/(2\/3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**18*h**(-4\/13))\/((h*h**(-2\/25)*h)\/(h\/(h**(13\/6)*h))) assuming h is positive.\nAnswer: h**(26531\/1950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 23\/(1288\/63)*(-3)\/(36\/16)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 47772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = 389 + -502.3. Let k = 99.28 + x. Round k to one dp.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = h - 7. Give z(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.0237 + 2213506.\nAnswer: 2213506.0237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*sqrt(612) + sqrt(612))*-4 - sqrt(612))**2 + (0 + sqrt(1377) - (sqrt(68)\/sqrt(4))**2*4).\nAnswer: 9*sqrt(17) + 29920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 109 (base 12) to base 11.\nAnswer: 12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1010010 - 1001?\nAnswer: 1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5.79 - 185.71. Let t = 192 + d. What is the closest to 9 in t, -0.3, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -6.11 - -0.11. Let l = c - -5.997. What is l rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*m + 3*f + 31, 18619*m - 18614*m - 4*f = -17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000244369 to seven decimal places.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19 = 5*w - 41. Suppose -4*n - 9 - 3 = 5*b, -5*b + w = -4*n. Let p = n - -17. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 24495 and 322?\nAnswer: 342930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 18.08224 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = 286 - 631\/2. Let y = w + 28. Which is the third smallest value? (a) -0.1 (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4*-1*(2 + -3). Let p be (-2)\/y*(-3 - 1). Let s be (-1)\/((-15)\/(-9) - 2). Solve -p*x + 25 = s*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1 + 304?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = u**2 + 11*u + 5. Let c be y(-11). Suppose -a - a + 240 = c*h, 4*h - 192 = -4*a. What is the greatest common divisor of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4568 is divided by 922.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 35? (a) -0.03 (b) 6 (c) 0.2 (d) 3\/53 (e) -123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = 44.5 + -50. Let d = -5.7 - c. Put -0.4, d, 3, 4 in decreasing order.\nAnswer: 4, 3, d, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-1 - 1 + 3)*(-2*i - 2*i + 6*i) - 2*i + 0*i + 4*i)*(4*i**2 + 5*i**2 - 2*i**2).\nAnswer: 28*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) be the first derivative of -101*c**2\/2 - 7*c + 4. Is v(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*w = -44 - 4. Let n be w - (-6)\/(-1) - (-1 + -4). What is the remainder when 43 is divided by ((175\/(-20))\/n)\/((-2)\/24)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mbz when three letters picked without replacement from {m: 4, b: 2, z: 2, s: 4, w: 5, j: 2}.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000429 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 186144607 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = -518465135847\/124 - -4181201032. Let f = 30582 - n. Let p = f + -4\/31. What is the nearest to p in -6\/5, 0.1, -2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-3)\/(-3) - 4) + -2. Suppose 22*l - 11*l = 44. Put -4, l, z, -2 in descending order.\nAnswer: l, -2, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -14, -69, -162, -299, -486, -729, -1034?\n\"Answer: -w**3 - 13*w**2 - 9*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*k - 3*k. Suppose k = 3*t + 4*q + 41, q = -2*t - 15 - 4. Let x = t + 11. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:47 AM and 8:59 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -15 - (-3 - (8 + -11 - -5)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0638481761 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -887074*d*f - 71*d + 908826*f + 3 wrt d.\nAnswer: -887074*f - 71","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = l**3 + 5*l**2 + 107*l + 482. Let s be t(-5). What is the nearest to -0.1 in 1, s, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 3*p + 859167 + 176277 = 0, 3*k - 1035409 = 4*p. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 645 and 1161.\nAnswer: 5805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 47882*s**3 + 2*s - 5. Let n be d(4). Let h = n - 6464451. What is h rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -291 + 288. Let n(q) = 1. Let t(o) = 31*o**2 + 3. Let s(m) = v*n(m) + t(m). Let l(c) = 2*c. Determine l(s(w)).\nAnswer: 62*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 3.358026 centimeters in meters?\nAnswer: 0.03358026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 346\/3 + -110. Calculate the common denominator of s and (2\/(-8))\/(4\/(-158)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 11 + 49657?\nAnswer: 49668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6478165543?\nAnswer: 6478165543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 26092?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 8*t**3*w**2 + t**3 - 16*t**2*w**5 + 76*t**2*w - t*w wrt w.\nAnswer: 16*t**3 - 320*t**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 69*i - 240*i + 149*i.\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*i - 8*i - 9 = 0. Calculate the least common multiple of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) be the third derivative of m**5\/90 - 79*m**4\/12 + 236*m**3\/9 + 1257*m**2. Find y, given that k(y) = 0.\nAnswer: 1, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 265055 <= -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.09, 1, -0.03 in increasing order.\nAnswer: -0.09, -0.03, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2080, -2504, -3218, -4228, -5540, -7160, -9094, -11348?\nAnswer: -13928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put together -6010090.14 and 5.\nAnswer: -6010085.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1116265215*d**4 + 1103125875 with respect to d.\nAnswer: 4465060860*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Add -7279621 and -0.1365.\nAnswer: -7279621.1365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*a**4\/2 + 82086*a**3 + 328335*a**2\/2 + 82083*a.\nAnswer: 3*a*(a + 1)**2*(a + 54722)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Add -17875084 and 0.2.\nAnswer: -17875083.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = 70 + -353\/5. Let t = -145\/36 + 17\/4. Let z = 70 - 71. Which is the closest to z? (a) -0.5 (b) t (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000207 rounded to 7 decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -6.16478155 to four dps.\nAnswer: -6.1648","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*k + 2*k + 6*k + 16 = -p, 3*p = -17*k + 332 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 28751468 and 404.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 + 2\/9*d**2 - 2\/9*d**5 + 0*d + 2\/9*d**3 - 2\/9*d**4.\nAnswer: -2*d**2*(d - 1)*(d + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 90 = 7*k. Suppose -3*r - 54 = -k. List the prime factors of (57\/(-4))\/(1\/(r\/3)).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 749026404?\nAnswer: 2, 3, 7, 47, 63241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -106.49 to zero dps.\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*b - 15 = 2*b + 3*z, -5*b = z + 5. Let c = 6 + -8.9. Let n = -3 - c. Sort 1\/2, b, n.\nAnswer: n, b, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 37 - 37.024. Let t = -0.276 + o. Which is the nearest to -2? (a) -1\/2 (b) t (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 801 divide 71873730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*z = 2765 + 755. Which is smaller: z or -441?\nAnswer: -441","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -5*t + 40. Let n be m(9). Put n, 0, 5, -2 in increasing order.\nAnswer: n, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27 - (10 + 15 + 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1.443, 0.5, -2\/19, 3, -2\/5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g, 1 b, and 2 m when four letters picked without replacement from gjjjjbbgmjjbjgmmjjgg.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -492281*y**5 + 2*y - 114543?\nAnswer: -9845620*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose m = -1 - 4. Let q = 9 + m. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1320 is divided by 1288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -8*g - 6. Let v be 231\/63 - (-4)\/3. Let q(o) be the third derivative of 7*o**4\/24 + 5*o**3\/6 - 13*o**2. Determine v*f(n) + 6*q(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3309692*b**5 + 4941873*b**2.\nAnswer: 198581520*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:07 AM and 10:44 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1.135 + 3.865. Which is the biggest value? (a) -2\/23 (b) -0.19 (c) m (d) -2\/3 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/2*4\/60*1170\/52?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 943095957 to the power of 1\/2, to the nearest integer?\nAnswer: 30710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -110 - -1310024?\nAnswer: 1304414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = 91.0102 - 91. Round m to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -2*g**3 - 12*g - 5. Let u(o) = 2*o**3 + 12*o + 4. Give 5*u(t) + 4*x(t).\nAnswer: 2*t**3 + 12*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 315 minutes before 6:18 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = o**3 + 10*o**2 + 10*o + 12. Let l be (-28)\/3 + (-1)\/(-3). Let r be q(l). Solve 3*u - 2*u = r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = t. Let h(x) be the second derivative of 5\/6*x**3 - 53*x + 0*x**2 + 0. Give h(s(p)).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 611 minutes before 10:35 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -l - 22 - 14. Let s be l\/(-9) + 28\/(-2). Calculate the common denominator of 2\/(-4) + 4\/s and -85\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.07 + 4.07. Let q = 4 - g. Let a = -0.6 - q. Round a to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8 + 8 + 9*o**3)*(-6*o**2 + 3*o**2 + 4*o**2) + (4*o**5 - o**5 + o**5)*(3 + 0 - 4).\nAnswer: 5*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 2*f + 10. What are the prime factors of 8\/f + (166 - -3)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*w**3 - w**3 + 4*w**3)*(0 - 3 + 5 - 7 + 5 - 12 + (-1 + 3 - 3)*(-1 + 5 - 3)).\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z + 2 = 34. What is the highest common factor of z and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*x + 8*x + 16 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(1573) + 1 - sqrt(1573)) + 3 + (sqrt(1573) - ((-1 + sqrt(1573))*3)**2))*2 + 4)*1.\nAnswer: -28320 + 418*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*n - 118 + 1 - 107 = 0 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 32741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 222*m - 721*m = -3992 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -14.07833533 to two dps.\nAnswer: -14.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -2\/9, 4, 2\/11, 245 in ascending order.\nAnswer: -3, -2\/9, 2\/11, 4, 245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -23*k + 41. Let h be x(2). Let d(u) = 2 + 2*u - 3 - 2 + 2. Let q be d(2). Which is the second biggest value? (a) h (b) q (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 63 - -400. Let a = i + -317. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -21700*m - 86924. Determine o(-4).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 291 is divided by 44?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -w**2 + 14*w - 8. Let q be -5 - -3 - (-15)\/1. Let s be g(q). Suppose -3 = 3*h, 4*j - 21 = s*h - 0*h. Solve -j*k = -6*k - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-3)\/((-3)\/5) - -12776*196\/(-497280) and -28\/65.\nAnswer: 28860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1638244 divided by 35614?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 117208 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 941 = 4*u + 3*s - 430, 1022 = 3*u + s. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 16\/1083 and -5\/138.\nAnswer: 49818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is (4 - -15) + -53 + 21 - 12?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q be 369\/6 + (-12)\/8. Suppose 0 = 4*r + 8 - q. Suppose r*b = 17*b - 16. Solve 0*y = -b*c + 4*y + 12, 3 = c - 5*y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -24916 + 25149. Solve 0 = 7*x + s - 184 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (0 - -1) + -3 - (-5 + 18). Let z be 2\/8 + v*(-10)\/(-24). Let g(c) = -c**3 - 6*c**2 + c + 3. Give g(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.06 in -0.0209, -4, 1, -5?\nAnswer: -0.0209","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 167\/(-1670) - (-423)\/30?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from iimiiiqemiaqeiaaiqm. What is prob of picking 3 i and 1 q?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1781 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 46 and 34063.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x be 0 + 8 + 486510\/(-60810). Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -456, -532, -616, -702, -784?\nAnswer: -856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m and 1 l when three letters picked without replacement from mfvqvvvvvffqffmqlm?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 9957*c**4 + 870*c**2 + 26*c. Let o(l) = -4979*l**4 - 432*l**2 - 12*l. Let y(n) = 4*h(n) + 9*o(n). What is the third derivative of y(g) wrt g?\nAnswer: -119592*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1 + -3 - -5) + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h be -2*(-2)\/4 + 1. Let p = -0.3085 - 0.0915. Put p, h, 2\/7 in decreasing order.\nAnswer: h, 2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 497 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: What is 211 minutes before 12:33 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 11714 and 0.1?\nAnswer: 1171.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 9139136 and 11072.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -79\/12708 and -46\/22794975.\nAnswer: 91179900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (-a - a + 0*a + (-2 + 2 - a)*(-4 + 0 + 0))*(-422 + 422 - 18*a)*(2 + 1 + 0) as v*a**2 + x + u*a and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p = -10*p + 18891. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 98687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 72 divide 711266075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = -19.49 + -0.71. Let x = p + 20.8. What is the biggest value in -0.3, x, -2\/45?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -284*s**3 - 82*s**2 - 47*s - 132. Let r(j) = 155*j**3 + 42*j**2 + 23*j + 66. Let a(c) = -11*r(c) - 6*x(c). Calculate a(31).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 7*x + 3. Suppose -2*v + 2*h = -44, x = -4*v - 5*h - 7 + 68. What is the second derivative of -23*s**5 - 6*s - 23*s**5 + 19*s**5 + v*s wrt s?\nAnswer: -540*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 248, 504, 736, 938, 1104, 1228, 1304, 1326?\nAnswer: 1288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1\/3 - (-158)\/3. Let w = -27 + x. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -107421 + 107421. Let m = 6.4 + -6. Which is the third smallest value? (a) h (b) 67 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -6*p - 5. Let f(s) = -5*s - 4. Let x(y) = -5*f(y) + 4*q(y). What is the least common multiple of 6 and x(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of (462\/(-15))\/(4\/(-10) - 0) and 21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ht when two letters picked without replacement from tegehrregrrgrhggggg.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*h**3 - 2*h**3 + 6*h**3 + (-6*h**2 + h**2 + 4*h**2)*(h - 2*h - h) + (0*h - 2*h + 0*h)*(2*h**2 - 15*h**2 - 7*h**2).\nAnswer: 44*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*m - 14 + 14 + (4 + m - 4)*(-2 + 4 - 1) + 1 + 13*m + 0 - 4*m to the form u*m + p and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 5 + 2*d + d + d**2 - d - 6. Let z be m(-3). What is the second smallest value in 3\/5, z, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2 + 16. Suppose -y = -6*v - 2. Suppose 3*p + 137 = 4*i + 4*p, i + v*p - 36 = 0. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1 + -4725?\nAnswer: -4724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 7? (a) -3 (b) -2\/9 (c) 6\/17 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -78 + 33. Let x = 47 + h. Suppose -2*z = -x*c, -3*c + 4*z - 1 = 4. Solve -3*o + 2*o - c = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (16 - (18 + -33)) + -12\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.4, -1\/11, 2\/3, 0.08, -1246, 0?\nAnswer: -1246","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 2646, 275\/4, 29, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0011296138 to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1 - -0.6. Let m = y - -2.4. What is the closest to -0.1 in 5, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = q**3 - q**2 + 1. Let h = 200 - 199. Determine r(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-15)\/3)\/(-1 - 0). Let c(q) = -q - 8. Let p be c(0). Let g = 8 - p. Solve -3*a + 1 = k - 10, -u*a - 4*k = -g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -199\/4, -268 in ascending order.\nAnswer: -268, -199\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -r, -5*a - 9*r + 3 = -5*r. Calculate the least common multiple of (-21)\/(-9)*a + (-9)\/3 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 87652752 divided by 12.\nAnswer: 7304396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(78)*4 + sqrt(78) + (sqrt(78) - -3*1*sqrt(78) - sqrt(78)))\/(-3*-6*((sqrt(294)*-1 - sqrt(294)) + sqrt(294))).\nAnswer: 8*sqrt(13)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -p**3 + 8468*p**2 - 13223808*p + 5778729216.\nAnswer: -(p - 6596)*(p - 936)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*-3*6*((sqrt(170) - -6*sqrt(170)*-3) + sqrt(170))\/(2*(-1*sqrt(10) - sqrt(10))).\nAnswer: 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 16795650 rounded to the nearest one hundred thousand?\nAnswer: 16800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is f in -3*f**5 + 6*f**4 + 129*f**3 + 120*f**2 = 0?\nAnswer: -5, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (4\/(-98)*-28*(-35)\/30)\/(-18)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1138 = -4*k - 5*u + 301, -5*u - 366 = -k. Let g = -212 + k. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (6 - (-4)\/(-2)) + (-5 - 5). Let n(u) = 13*u + 78. Determine n(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/(((-4)\/(-24))\/(-3*(-4)\/(-702)*-9))?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 4714065857 to the power of 1\/2, to the nearest integer?\nAnswer: 68659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = -510 + 526. Suppose -b + 158 = 2*s, 3*b + r = -b. Is s > -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1008 is divided by 55?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*k - 7*k = -3*l + 904, -2*k = -3*l - 892. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -95*r - 400. What is j(-4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -16 + 20. Solve -i = -4*z + 14, -v*z + 10 = -2*z - 2*i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 10 = 4*d, 3*d + 7*v - 11*v = -11. Let r(i) = 3 + i - 3. Let m(b) = -13*b - 18*b - 5*b + 39*b. Calculate d*m(s) + 4*r(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2.5 - -2.464. What is q rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 117, 20 in decreasing order.\nAnswer: 117, 20, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 324796 is divided by 1203.\nAnswer: 1189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -115c3 - -26?\nAnswer: -1159a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 11, u: 5}. What is prob of picking 2 u and 1 x?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 602169 is divided by 216.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 3\/8 (b) 8 (c) 16712\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 3*w + 5*q, q + 1 = -4. Suppose -2*s - 702 = -w*s. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*k**5 - 3*k**5 + k**5 + (0*k**4 - 4*k**4 + 3*k**4)*(k - k + k) + (-k**2 - k**2 + 4*k**2)*(6*k**3 - 2*k**3 - 3*k**3) + 21*k + 49*k**5 - 21*k.\nAnswer: 48*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 2831 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -479, -1849, -4121, -7301, -11395?\n\"Answer: -s**3 - 445*s**2 - 28*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 6466*l + 3303. Is d(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 2315*j + 7268. What is the tens digit of r(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 318211 is divided by 1647.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*(sqrt(84) + (sqrt(84) - (-2*sqrt(84) - sqrt(84) - sqrt(84)))))\/(sqrt(1200) + sqrt(1200)*1) + 4)*1.\nAnswer: 4 + 9*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*r**3\/4 + 75*r**2\/4 + 525*r\/2.\nAnswer: -3*r*(r - 35)*(r + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -102110001121001 + 2?\nAnswer: -102110001120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -r**3 - 6*r**2 + r + 1. Let x = -29 + 21. Let b = x + 10. Suppose b*z + 0 + 32 = 5*n, -n - 14 = 3*z. Calculate q(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 51 (base 10) to base 8.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -13*k + 4. Let z be g(2). Let n = 43 + z. Solve 0 = m - 3, 3*l = -3*m + n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 3*r**2 - 85*r + 450. Let m be k(7). Solve -2*y - 2*h = -18, h + 25 = 5*y + m*h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 232041, 232042, 232043?\nAnswer: 232044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 515955095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 86 (b) -19 (c) 4 (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 17270 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.263 from 10066143352.\nAnswer: 10066143351.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 86301547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 12228977951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 22*g**2 - 14*g**2 + 27*g**2 - 11*g**3 wrt g?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fstlvsgsgltssgg. What is prob of sequence ggsf?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 728.0638 centimeters?\nAnswer: 0.007280638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1706, -1703, -1700?\nAnswer: -1697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 8*m + 14. Let n be q(-1). Is (-529)\/(n\/2 + -4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37289\/35 - -1 - (-6)\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -106570*o**3 - 253190*o**2.\nAnswer: -639420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) be the third derivative of -3\/8*p**4 + 0*p + 10*p**2 - 3\/2*p**3 + 0. Find the first derivative of m(o) wrt o.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-4)\/(-6)*(-34 - 2). Let z = 47\/2 + l. Which is the nearest to z? (a) -3 (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2 - -1.5. Suppose 8*y - 45 = 3*y + 4*h, 5*h = 3*y - 40. Suppose y*k = 3*k. Which is bigger: l or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 40577 is divided by 160?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 1, 631, -8, -16, 3, -4.\nAnswer: -16, -8, -5, -4, 1, 3, 631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -6 at most as big as -1299\/247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -65 divided by -13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 7 and 3014.\nAnswer: 21098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = -5*o + 68, -4*o + 3*v + 60 = v. Let h be o\/(-10)*(-14)\/49. Which is the closest to 2? (a) h (b) 4 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = j - 1. Let w(t) = -4*t**2 - 4*t + 4. Let i(n) = -3*r(n) - w(n). What are the prime factors of i(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -36 - -56. Calculate the highest common factor of q and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*h**2 + 4*h**2 - 3*h**2)*(-h + 0*h + 2*h) - 2*h**3 + 3*h**3 - 2*h**3 - 2*h**3 + 7*h**2 - 7*h**2.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 213011+0.87525224\nAnswer: 213011.87525224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 560281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 65*w + 7654. Give u(-118).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 7712.987ug to grams.\nAnswer: 0.007712987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -11.6 + 11.654. Let s = -5.054 + n. What is the third biggest value in -6, 2\/7, s?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (73\/292)\/((-88)\/(-19712))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 28 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1535749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) be the first derivative of 2*f**5\/5 + f**4\/4 + 63*f + 57. Differentiate r(u) wrt u.\nAnswer: 8*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 2, y: 2, e: 5, s: 1, r: 6}. Give prob of picking 1 w, 1 y, and 1 r.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 78\/5 < -1835\/107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 36*p + 41*p + 16*p - 58*p to the form w*p + r and give w.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q = -20 - -33. Let r = 24 - q. What is the remainder when (3\/(-2))\/((-9)\/126) is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by 2556789.\nAnswer: -5\/2556789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1\/6 (b) 2\/23 (c) -5 (d) -0.1 (e) 76 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -54.31206 plus -3.8?\nAnswer: -58.11206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = -116.9941 + -0.0059. Let q = 118.6 + r. Which is smaller: -0.03 or q?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 3*p**3 - 57407*p**2 + 3*p - 8911568.\nAnswer: 9*p**2 - 114814*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -4*b**3 + 4*b**2 + 13*b - 4. Let x be n(-4). Suppose 0 = 12*w - 744 - x. Let r = 99 + w. List the prime factors of r.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -l**3 - 3*l + 3. Let f(w) = 6*w - 28. Let r be f(5). Let s(k) = -r + 1 + 0 + 3*k - 2*k. Determine 5*n(u) + 15*s(u).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 68 = k + 67 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + -2 - 4 - (-2 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 324 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of s*w**2 + 8*s*w + s + 34277*w**5 - 304 wrt w?\nAnswer: 2*s + 685540*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ju when two letters picked without replacement from uuujzujuuu.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 10301855953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q be (12\/2)\/(4*(-11)\/(-264)). Put 2, 1, q, 3 in ascending order.\nAnswer: 1, 2, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - 3 = -y - 0, 17 = y + 5*w. Let u = y - 3. Let t(c) = 3*c + 8. Let j(f) = 7*f + 17. Let k(d) = -4*j(d) + 9*t(d). Give k(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is g in g**2\/4 - 3*g - 7 = 0?\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1012212201 + 12210?\nAnswer: 1020002111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (((-5220)\/(-16))\/15)\/(33\/(-132))\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 160850522 to the nearest integer?\nAnswer: 12683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -65013 bigger than 194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose s = 5 - 2. Suppose -s*q - 2*v = v - 6, 4*q - 15 = 3*v. Suppose -q*p = -8*p + f - 194000002, -5*f + 155200010 = -4*p. Round p to the nearest one million.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w**(-1\/5)\/w)\/w**8)\/(w**(3\/2)*w**(3\/7)))\/((w**(-6)\/w*w**(2\/3))\/(w**2)**(4\/5)) assuming w is positive.\nAnswer: w**(-671\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 293 a factor of 74194029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 5*w**2 - 2*w - 5. Let a(m) = 5*m**2 - 2*m - 4. Let x(r) = 5*a(r) - 4*l(r). Let q(k) = -9*k**2 + 4*k. What is 3*q(n) + 5*x(n)?\nAnswer: -2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -r**3 + 2*r**2 - 2*r - 2. Let l = 5 - 7. Let n be a(l). Let u = n - 9. Calculate the remainder when 35 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.092124555219 minus 48?\nAnswer: -48.092124555219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 2*k**2 + 3*k - 5. Let w be m(-4). Suppose -3*n = -2*n - w. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*s**2 - 2*s**2 - 4*s**2 - 12*s**2.\nAnswer: -30*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -110117*l = -110039*l - 780 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p be 6\/21 - 63\/49 - -18. Solve p*v - 20*v = -6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -2*w**2. Let b(x) be the third derivative of x**2 + 1\/30*x**5 + 0*x + 0*x**4 + 0 + 0*x**3. Calculate d(b(a)).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1700) + sqrt(1700) + (sqrt(1700) + -3)*2 + 2.\nAnswer: -4 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(1\/30)\/(n*((n\/n**(-39))\/n)\/n))**(-17\/5) assuming n is positive.\nAnswer: n**(19873\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 2*c**2 - 9*c. Let i be n(6). Let x = 141 + i. Suppose -5*z = -x + 19. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b = t - 3*b - 8, 32 = 3*t - b. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1477342285.\nAnswer: 5, 337, 876761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-nine quarters of a century in months?\nAnswer: 14700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/((-20)\/(-5)))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 102047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 411609824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -40154, -80318, -120484, -160652, -200822, -240994?\nAnswer: -281168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -429*b**5 + 11106*b**4 - 32*b - 92040 wrt b?\nAnswer: -8580*b**3 + 133272*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 1633\/(-276) - -2*2 and -73\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-55)\/33)\/((-3)\/9). Suppose -4*g = 5*d - 5059, -w*g - 3*d = -6*d - 6370. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine t, given that -18686 + 2*t**5 - 844*t**2 + 18558 - 680*t - 245*t**3 + 100*t**4 - 46*t**2 + 5*t**5 = 0.\nAnswer: -16, -1, -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6876432 divided by -16?\nAnswer: -429777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-4)\/(-3) - ((-28192)\/(-3024) + -8) and 56\/15?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1147 and 222?\nAnswer: 6882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0.776 times 1.8435?\nAnswer: 1.430556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (106*m**2 + 55*m**2 + 126*m**2)*(0 - m + 0)*(-3*m + 0*m + 5*m) + (0*m**3 + 0*m**3 + 2*m**3)*(-3*m + 2*m - m).\nAnswer: -578*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (109\/436)\/((-2)\/104).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 27170 and 650.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 119\/12 and 7\/258?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3.05 + 3. Let w = 1.05 + f. What is the closest to w in 3, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2b96 (base 15) to base 6.\nAnswer: -111210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 1.985, -1\/2, -4, 0.3 in decreasing order.\nAnswer: 1.985, 0.3, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k be 7\/(-99) + (-14)\/(-77). Let s = -4840 - -4840.2. What is the fourth smallest value in 0.5, s, 10, k?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -962, -958, -956, -956?\n\"Answer: -v**2 + 7*v - 968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*v - 4*c - 24 = 0, 2*c = 33*v - 32*v + 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-35)\/(-210) - (-2399999)\/6. What is q rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = 5*n + 8. Let a(t) = t - 29. Let q be a(23). Determine h(q).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -u**2 + 1864*u - 2010. Let s(v) = 3*v**2 - 7506*v + 8042. Let d(z) = -22*q(z) - 6*s(z). Factor d(k).\nAnswer: 4*(k - 1)*(k + 1008)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*v**3 - 14976544*v**2 - 28037108772992*v.\nAnswer: -2*v*(v + 3744136)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Subtract -2 from 61995394.\nAnswer: 61995396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*t + 4*c + 8, 4*t - 4*c - 2 = 6. Let n(x) = 2 + t - 3 + 8*x + 0. What is the remainder when n(5) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -11 - 21b?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21*v + 8*v - 29*v + 2*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*h - 70, -8*f + 2*h - 52 - 63 = 3 - 50 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 275388374?\nAnswer: 2, 1291, 106657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 3910 divided by -115?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is n in 2*n**2 - 75 - 473*n + 264*n - 17 + 251*n = 0?\nAnswer: -23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) be the first derivative of 183*s**5\/5 + 346*s**2 - 503. What is the second derivative of r(j) wrt j?\nAnswer: 2196*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -56 - -60. Suppose 6*l = k*l - 88. Let j = l - -46. Let g(m) = -2*m**2 + 2*m - 3. Let c(t) = 4*t**2 - 5*t + 7. What is j*c(z) + 5*g(z)?\nAnswer: -2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - (-83)\/(-65))*-21*470\/2961?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 63794161?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l**(-1))**(4\/7)\/((l**0\/l)\/l*l*l*l**2\/l*l) assuming l is positive.\nAnswer: l**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-4)\/(-5))\/(24\/60). Calculate the greatest common divisor of b and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/9*84\/(-7)*(-1)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 111*d**6 + 34*d**2.\nAnswer: 13320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 51 + -15 + -43 - (2 + -14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 38391*u**3 + 27941?\nAnswer: 115173*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -5\/6, 0.2, 3\/5, 2 in ascending order.\nAnswer: -5\/6, 0.2, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8 - (-5 + -2) - -12) + (-55 - 35) + -28.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -u**3 + 6*u**2 - 7*u - 1. Let w be g(4). Solve m = -3*l + w*m + 20, 0 = -2*l - 2*m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 9 = 26. Solve -r = -5*p - 5*m + 18, 0 = -3*p + 5*m + 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -9130*y**2 - 7*y + 8874. Let v(i) = 4566*i**2 + 3*i - 4437. Let g(w) = -3*q(w) - 7*v(w). Differentiate g(l) wrt l.\nAnswer: -9144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -2174*c - 2531. Let b(n) = 1088*n + 1266. Let p(z) = 5*b(z) + 3*d(z). Differentiate p(l) wrt l.\nAnswer: -1082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5808429 is divided by 1452038.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 296 minutes after 11:34 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.03 + 3.03. Let d = -5 + h. Sort d, 3\/5, 4\/7 in descending order.\nAnswer: 3\/5, 4\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 17\/5, 582, 7, 0.01.\nAnswer: -2, 0.01, 17\/5, 7, 582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -123060 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -3675, -5978, -8309, -10668?\n\"Answer: -14*r**2 - 2261*r - 1400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 7592526637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 166549 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1275 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 95, 129, 185, 263, 363, 485, 629?\nAnswer: 795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 11806793 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c**3 - 14*c**2 + 3*c - 38. Let d be f(14). Suppose 4*j - 516 = 4*q, -2*j + d*j - 258 = 5*q. Calculate the remainder when j is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1980) - (sqrt(1980)*-6*-6 - sqrt(1980))) + sqrt(1980))\/((sqrt(40)*1)\/sqrt(8) + sqrt(60)\/sqrt(3)).\nAnswer: -66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3597837 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express (0*d**3 + 2*d**3 - 3*d**3)*(-2*d + d - d) + 1203777*d**4 - 1 - 3 - 1204088*d**4 in the form o*d**4 + t + u*d**3 + i*d**2 + n*d and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -k + 1. Let y(r) = -r + 2. Let a(z) = -5*j(z) + 3*y(z). Let b be a(4). Suppose 5*g = 16 + b. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2317 is divided by 261?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -345*a + 31050. Determine q(90).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*-1*-1*sqrt(1584).\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 25*k - 28*k + 369. Suppose 0 = 2*t - 149 + k. Solve 5*y + t = -12 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -o**2 + 9*o + 1. Let b be z(7). Let s be 3 + (2 - b\/3). Find the third derivative of 0*v**3 - 5*v**2 - 14*v**4 + s*v**3 + 17*v**4 wrt v.\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 20719 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 129?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 33078\/(-76437) - (22\/(-18) - -1).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 798\/1064*(-12)\/(-7)*(-10)\/(-135)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 277 minutes before 10:39 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify f\/f**(-20\/9)*f**21 assuming f is positive.\nAnswer: f**(218\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is ce4 - -7?\nAnswer: ceb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1577682 divided by 3.\nAnswer: 525894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x + 17 = d, 0 = -d - 3*x - 5 - 6. Suppose -t = -0 - d. Let l(r) = t + 1 - 2 - 3 + r. Calculate l(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = -0*k + 3*k, -5*x = 4*k + 3. Let g = -8 + 9. Suppose 0 = -6*u + 3*u - 2*a + 6, -3*a - g = 2*u. Solve -w - k*w - u = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*o**3 - o**3 - 3*o**3 + (-4*o + 3*o - o)*(0*o**2 + 3*o**2 - o**2) + (2*o + 0*o - 3*o)*(17*o**2 - 6*o**2 + 2*o**2) - 4*o**3 + 2*o**3 + o**3.\nAnswer: -19*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 9503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 204*f**3 + 7*f**2 - 15*f + 7. Let z(i) = -205*i**3 - 6*i**2 + 13*i - 6. Let a(x) = -5*k(x) - 6*z(x). List the prime factors of a(1).\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 52 minutes before 11:51 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*i + 43 = 15 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 22\/(-66) + (1 - (-8)\/(-3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 36858632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -1538760 divided by 24\nAnswer: -64115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(88)*-3 + (sqrt(88) + 2*sqrt(88))*-1 + sqrt(88) + sqrt(88))\/(-5*(sqrt(72) + (sqrt(72)*-2 - sqrt(72)))).\nAnswer: -7*sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, 7\/2, -1\/3, 6 in increasing order.\nAnswer: -1\/3, -0.2, 7\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2156*n + 2139*n - 4301*n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 59, 2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -296*k + 1026 = -294*k. What is k rounded to the nearest 10?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.62 + -3046431130.994.\nAnswer: -3046431130.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3000650*z**5 + 21*z**4 + 2213*z**2 + 16205*z?\nAnswer: -180039000*z**2 + 504*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = 1 + 13. Let x be ((-108 - -59)\/49)\/((-21)\/(-11) - 2). Solve x*q = l*q - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -25, -4, -3 in descending order.\nAnswer: 2, -3, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*b**2 + 14*b - 14*b)*(1 + 2*b - 1)*(-2*b**2 + 0*b**2 - b**2).\nAnswer: 42*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 18 and 70?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 463 minutes after 6:41 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 10857 (base 9) in base 13?\nAnswer: 33c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + 0*p + 3*q + 10 = 0, -3*p + 20 = -q. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 138581280 a multiple of 8160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q be 4\/((-48)\/(-20))*(-48)\/(-40). Sort q, -3, -12 in descending order.\nAnswer: q, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 591 minutes before 5:27 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 7.380249 kilometers to micrometers.\nAnswer: 7380249000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 933, 902, 865, 822, 773, 718?\nAnswer: 657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2483 not equal to 2514?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 1424*r = 1433*r - 32 - 31 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) be the first derivative of -225*b**4\/4 - 2*b**3\/3 + 27*b - 1883. Find the third derivative of y(c) wrt c.\nAnswer: -1350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -153 + 158. Which is the closest to m? (a) 1 (b) 4\/7 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*o + 4*l = -5*o - 20, -5*o - 643 + 380 = 2*l - 313 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -27, -204, -469, -822?\n\"Answer: -44*x**2 - 45*x + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5\/434 - 253\/40796. Suppose -19*s + 34*s - 15 = 0. Which is bigger: r or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 8241600 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 1 r when two letters picked without replacement from {o: 1, y: 1, j: 2, r: 1, q: 1, n: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (-15 - -11 - 8) + 2 - 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -13263*q**2 - 34427*q wrt q?\nAnswer: -26526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-2)\/(-4))\/((-2)\/(-3)). Let k be ((-3)\/(-178))\/(8\/(-16)). Let c = 229\/1513 + k. Put c, j, 0.5 in decreasing order.\nAnswer: j, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 - q**3 + (0*q**3 - 4*q**3 + 3*q**3)*(0 + 4 - 3) + (0*q + 2*q - 3*q)*(2*q - 2*q + 2*q**2))*(-4*q + 0*q + 5*q - 2*q**2).\nAnswer: 8*q**5 - 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 9507462097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = 63 + -62.91. Let t = 23 - 22.79. Let k = t + z. Which is the biggest value? (a) 1 (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = y**3 + 38*y**2 - 601*y + 5. Determine d(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 6 + 5. Suppose -d - 4*o = 2*d + 19, 2*o = -3*d - a. Let q = 23 + d. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3303*s**6 + 12*s**5 - 24*s**4 - 135263775*s**2 wrt s.\nAnswer: 396360*s**3 + 720*s**2 - 576*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(114)*-1)\/sqrt(6) + (sqrt(228)*-2*-6)\/sqrt(12).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1105093309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Are -6381 and 2054 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q and 1 u when three letters picked without replacement from {u: 4, q: 10}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in seven quarters of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - 2) + 2 + -5 - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 7036*v + 3520*v - 1 + 3513*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Multiply 11336 and -6153.\nAnswer: -69750408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l be 6\/2*2\/(-3). Let f = -63.29 - -63. Let n = 0.01 - f. Which is the second smallest value? (a) n (b) 2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19*j + 52*j - 20*j - 14*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 1, e: 2, v: 7}. Give prob of sequence ves.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1539 = 23*p - 70336. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + 1 + (-16 - (4 + -19)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0*-26.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y**3 - 3*y**2 + y - 6. Let m be ((-119)\/(-14))\/((-2)\/4). Let a = m - -27. What is the remainder when q(-5) is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.06, -0.55, -5, -21, 0 in increasing order.\nAnswer: -21, -5, -0.55, -0.06, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) be the first derivative of -b**5\/10 + 5*b**4\/8 + 7*b**3\/3 + 285. Factor j(t).\nAnswer: -t**2*(t - 7)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/(p\/(p*p\/(p\/(p\/p**3*p*p)))))**(1\/22)*(p**(2\/23)\/p*p)\/p*(p\/p**(-2\/5))\/p)**17 assuming p is positive.\nAnswer: p**(-20111\/2530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 8 = -1. Let s(m) = 1 + 17*m**3 - 4*m**2 - 7*m**3 - 9*m**3. What is s(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2 + -6330502?\nAnswer: -6330504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 6*j. Let a(k) = 19*k - 48. Let h(y) = -7*y + 18. Let i(t) = 3*a(t) + 8*h(t). Give 3*f(q) - 14*i(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 0.5, -166, 131 in descending order.\nAnswer: 131, 0.5, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 176829449 and 458?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 5102, 4877, 4538, 4091, 3542?\n\"Answer: h**3 - 63*h**2 - 43*h + 5207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3697.3706 + -3698. Round v to 2 decimal places.\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 20 in 11, 3, -2537?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (56\/22)\/(670\/(-737)).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the third derivative of -44*s**5\/15 + s**4\/24 + 14*s**3\/3 + 187*s**2. Find the second derivative of x(h) wrt h.\nAnswer: -352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1710 and 2465478.\nAnswer: 12327390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -59\/605 and 133\/95*(-7)\/10?\nAnswer: 6050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 13\/3 or -21.626275?\nAnswer: -21.626275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j, 1 v, and 1 o when three letters picked without replacement from {k: 1, v: 1, o: 4, j: 9, a: 2}.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 195869 * 5\nAnswer: 979345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(4200)*3)\/(sqrt(216)*-2 + sqrt(6) - 2*(sqrt(6) + sqrt(54) + sqrt(6))).\nAnswer: -10*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does -683 = -1367\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 104466823 + -1110.\nAnswer: 104465713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 219147, 219158, 219157, 219138, 219095, 219022, 218913?\nAnswer: 218762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.5 (b) -0.1 (c) 14659\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -180 + 175. Let g(q) = -q**2 - 31*q - 4. What is the units digit of g(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -17400 < -17392?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101111001001110 + -10?\nAnswer: -101111001010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(112) + 2 - sqrt(7) - sqrt(14)\/(sqrt(2) + sqrt(18)\/sqrt(9)))**2 + -4.\nAnswer: 10*sqrt(7) + 175\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vvvvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -995036, -3980130, -8955286, -15920504, -24875784, -35821126?\nAnswer: -48756530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be (2 - (-216)\/(-110))*-5. Let l be (-5)\/(-20) + 25\/(-4). Let i be (-2)\/(3*(-26)\/l). Sort 0.4, f, i in increasing order.\nAnswer: f, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 2\/17 (b) -2 (c) 52\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:59 AM and 4:19 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -8\/77 (b) -5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -273*l - 6. Let z be a(-3). Suppose 0*i + 3*i - z = 0. Suppose -i - 20 = -3*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 80864058 divided by 79046.\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t be 97\/6 - (-4)\/(-24). Suppose 2*f + t = y - 6*y, -13 = 5*y + f. Let s = y - -5. Calculate the least common multiple of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 8*n - 131. Let m be k(18). Solve 2*c - d - 6 = 3*c, 3*c - 2*d = -m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7ca20b (base 13) in base 9?\nAnswer: -5516876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 465, 450, 433, 414, 393, 370?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -65, 13, -3, -8 in decreasing order.\nAnswer: 13, -3, -5, -8, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1838374, 1838373, 1838372, 1838371, 1838370, 1838369?\nAnswer: 1838368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = l + 1. Let m(d) = -6*d - 11. Let p(x) = -m(x) - 5*o(x). Let n be p(6). Calculate the greatest common divisor of 48 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*d - 7392660000 = 39*d. What is d rounded to the nearest one million?\nAnswer: -107000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9286615 to the power of 1\/2, to the nearest integer?\nAnswer: 3047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.1 and 77882228112?\nAnswer: 77882228112.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*g = g - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 5\/7, 84834, 5, 0.2 in descending order.\nAnswer: 84834, 5, 5\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 145235862 and 918.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 74*y - 1776. Let a be j(24). Solve -1 = 5*r - x - 4, -3*r - 3*x - 9 = a for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y = -5*s + 92, 0*s + 34 = 3*y - 5*s. Let o be (-4 - 2)*(-6)\/y. Suppose -k = -o - 10. Calculate the greatest common factor of 108 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 4*z + 19 = 0, 6*z - 8 = 4*z. Let y be 0\/((-1)\/(-1 + 2)). Suppose -2*h + y*h + x + 49 = 0, 0 = -h - 3*x + k. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - 290\/(-135))\/((-170046)\/11421)?\nAnswer: -2\/201","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 23590104, 23590106, 23590108?\n\"Answer: 2*i + 23590102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -4*g**2 - 3*g**2 + 4*g**2 + g**2. Let r(y) = y**2 - y - 2. Let b be r(-2). Let q(n) = -3*n**2 - 4*n**2 - b*n**2. Calculate q(p(m)).\nAnswer: -44*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 0 = -3*a - 15, a + 15 = 5*k. Suppose -b + 5*b + 152 = 4*d, -5*b = -k*d + 188. Which is smaller: -38 or b?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -3*t**2. Let i(c) be the third derivative of c**5\/30 - 12*c**2. What is i(f(p))?\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1101465 is divided by 4353.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**6\/z)**(-1\/24) assuming z is positive.\nAnswer: z**(-5\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = i**3 - 10*i**2 + 7*i + 5. Let z be h(9). Let q(r) = -57*r - 8. Is q(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -14*n. Let j(k) = 55980*k. What is c(j(a))?\nAnswer: -783720*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 60.1398 and -1585?\nAnswer: -95321.583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 61*b - 431. What is f(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3627, -3622, -3609, -3588, -3559, -3522?\nAnswer: -3477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 193896?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = 534 - 525. Let v(a) = -a**3 + 10*a**2 - 8*a - 6. Determine v(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 21845, 21864, 21893, 21932, 21981?\nAnswer: 22040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = k - 6. Let j be o(9). Let w be (60\/315)\/((-2)\/j). Let p = 1.96 + 0.04. Is p at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (5\/(-3))\/((-2)\/6) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 137 + 67. Let f be ((-2)\/((-4)\/3))\/(153\/p). What is the highest common factor of f and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4229052 micrograms to tonnes.\nAnswer: 0.0000000000004229052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 23\/652800 and -199\/73440.\nAnswer: 5875200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 1679*z + 9985. Determine n(-6).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-11 - 1) + (-78 + -24 + 56 - (-26 - -3)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine b so that -b**5\/3 - 5*b**4\/6 + 2*b**3\/3 + 19*b**2\/6 + 8*b\/3 + 2\/3 = 0.\nAnswer: -2, -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-14)\/(-2)*-4*(7 - 155\/20). Let a(p) be the third derivative of 0 + 0*p**3 + 0*p + 4\/15*p**5 + 0*p**4 - h*p**2. Let w(c) = -c. Calculate w(a(z)).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (16\/3)\/(-8) - -4 - 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2\/(-12) + (910\/60)\/13. Which is bigger: i or -3\/473?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 107 + -104. Suppose -f + 720 = y*f. Calculate the remainder when f is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = 3*f - 5 - 360*f**3 - 358*f**3 + 5 - 3*f**2 + 717*f**3. Let o(u) = u. Give 6*o(t) - 2*p(t).\nAnswer: 2*t**3 + 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -122 + 128 - ((2 - 1) + -20).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2561\/4 - 7687\/12. Which is the third biggest value? (a) -716 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (3\/1)\/(2\/2). Suppose -2*a + 725 = b*a. Suppose 4*q + 34 - a = -3*h, 3*q + 3*h = 84. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -19 + (15 - -1) + -47 - (15 + 1)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 194649 and 109641.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = r - 1. Suppose 0*k = 5*k. Let n be q(k). Which is greater: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**5*y*y\/y**(1\/7)*(y*y**(2\/5))**39)**(20\/9) assuming y is positive.\nAnswer: y**(956\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-6)\/(-8) + (-14990)\/20008. Let f = 302611\/12505 + i. Let q = 124\/5 - f. Which is the nearest to -2\/3? (a) -2 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1241216 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6118568 is divided by 5386?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 27, 5, 1\/3, 0, 1\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 437*c + 6. Let f(g) = 875*g + 13. What is 6*f(y) - 13*h(y)?\nAnswer: -431*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1175234 or -1175230?\nAnswer: -1175230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 4402663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - 160 = -8*b. Is b a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = -2*w + 8, 3*w + 4 + 3 = -2*b. Let l be 18\/63*(-217)\/b. What is the highest common factor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1)\/3 + (-125)\/3. Suppose 4*d - 16 = -56. Let i be d*(c\/4 + 2). What is the greatest common factor of i and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 126366743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 148*c - 153*c - 4*z + 5, 4*z + 40 = 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -248 = 6*m + 106. Is -58 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 3 and 11373.\nAnswer: 34119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -10 + 3 + -22 + 23\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 54\/(-36)*(-2)\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -7, 0.24, 2, -720?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3267 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 4*i*m - 5220*i + 8172*m**3 wrt m.\nAnswer: 4*i + 24516*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -7\/6 in -2, -4, -1478, 1\/3, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 84489239.\nAnswer: 59, 1432021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 2 = 4. Let k be -5*(-1 + (-1 - i)). Calculate the remainder when (-1)\/k + (-516)\/(-20) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 50, 97, 156, 221, 286, 345, 392?\n\"Answer: -n**3 + 12*n**2 + 18*n + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of h**4 + 67818*h**3 + 119191*h**2 wrt h.\nAnswer: 24*h + 406908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 119.7 - 120. What is the nearest to 1\/2 in -2, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(1088)*-1)**2 - sqrt(1088) - 2*2*sqrt(1088).\nAnswer: -56*sqrt(17) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 46493*-5695.\nAnswer: -264777635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = 17322 + -16826. Which is greater: 503 or v?\nAnswer: 503","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4787854756.\nAnswer: 2, 1196963689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1.25 + 5.25. Which is the smallest value? (a) -0.5 (b) -4 (c) 3\/2 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j + 2 + 5 = i, 5*j = 4*i. Let a(b) = b**3 + 3*b**2 - 3*b. Give a(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14827965 divided by -1667.\nAnswer: 8895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = r**3 - 5*r**2 + 11*r + 5. Is q(5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in ten thirds of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-9)\/42*(-8)\/1062. Let w = m - 65689\/13629. What is the common denominator of w and 71\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 2133152909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*s + 3*s + 4*l + 20, -5 = 4*s + l. Let g = -139 - -150. Let v(q) = g*q**3 - q - 6 - 3*q**2 + 0*q**3 - 12*q**3 + 2*q**2. Determine v(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve n - 20 = -5*u, -4*n = -2*u - 3*u + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12\/3)\/(2*2*36\/(12420\/23)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10200 + -220200011?\nAnswer: -220112111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -354, -842, -1328, -1812, -2294?\n\"Answer: z**2 - 491*z + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 2*a**2 - 5*a - 4. Let m(w) = -w**2 - 9*w - 9. Let y be m(-7). What is the tens digit of q(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3976822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 2*i - i. What is the first derivative of -1 - 2*x + i + x wrt x?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 288 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 265207 - 103630 - 344757 - 434968 = -6719*j for j.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 5514, 5516, 5520, 5526, 5534?\n\"Answer: i**2 - i + 5514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 617 minutes after 5:18 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2215.\nAnswer: 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2820 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is k in -3*k**2 - 17928*k - 26784432 = 0?\nAnswer: -2988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(17\/5)\/d)**(-6\/17)\/((d\/d**(-25\/2)*d)\/((d*d**(-17))\/d)))**(-49) assuming d is positive.\nAnswer: d**(269451\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = r**3 + 26*r**2 + 50*r + 47. Give s(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2115 and 10998.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 28 - 3?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 2 + (50\/8 - -3) and ((-212)\/(-30))\/(12\/9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/7 in 3, -40, -0.2, 16822, 15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 91294755 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/13 in -1, -0.17, 3, 0.46?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*u + a - 11 - 1, 2*a = 2*u + 8. Let z(m) = -2*m - 4. Let w be z(u). Let k be 2375*w\/30*18. What is k rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 119*q - 90*q - 2594311. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -59711, -60589, -61467, -62345, -63223?\n\"Answer: -878*i - 58833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 6 - 53*d**3 + 47*d**3)*(3 - 3 - 2*d) + (-d + 0*d - d)*(3*d + d**3 - 3*d).\nAnswer: 10*d**4 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j be 3 - 0\/(3\/1). Let n(p) be the second derivative of p**3\/6 - 4*p**2 + p + 4. Let d be n(11). Solve -2*c - 6 - 1 = -5*t, -j*c + 21 = d*t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -i - 8. Let m be j(-5). Suppose 0 = -14*q + 37 + 33. Suppose -a = -5*p + 2 - 6, -2*p = q*a + 7. Sort -25, a, m.\nAnswer: -25, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -2*w. Let v(j) be the third derivative of j**4\/8 - 11*j**3\/3 + 17*j**2. Let a be v(8). Determine f(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 284, 64, -140, -322, -476?\nAnswer: -596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 26 at most 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4593?\nAnswer: 3, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 28471?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 87*k - 423 - 99 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0*l + 3*l - 9*l)*(10 - 3 + 4) - 2*l + 3*l - 12 + 14)*(1 - 3 + 3) - 2*l + 0 + 0.\nAnswer: -67*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = 3*q + 623, -2*q = 5*u - 790 - 6. What is the remainder when u is divided by 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = b + 6. Let l be w(5). Suppose -l - 9 = -5*k. Suppose 0 = k*c - 47 - 157. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(-5 + sqrt(832) + 1) + (sqrt(13) - (sqrt(182)\/sqrt(7) - sqrt(26) - sqrt(26))\/sqrt(2))**2 + (-1*sqrt(13) + sqrt(13) + 1)**2.\nAnswer: 8*sqrt(13) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 18 = 4*o, -3*o + 4*q + 6 = 3*q. Suppose 2*s = 2*d - 138, -123 = -4*d + 2*d - o*s. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 14532 by 12.\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 99*w + 101. Let y be u(6). Let p = y + -688. Let s(r) = r**2 - 5*r - 6. Calculate s(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/5? (a) -369 (b) -0.9 (c) 3 (d) 1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-30)\/9)\/((-55)\/198). Solve 2*k + k - v = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve a + 10 = 3*k, -10*a + 5*a - 20 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = -3*j + 130. Suppose 6*q = -4*r + 2*q, 3*q = 5*r - 24. Suppose -d + 10 = r*v, 4*d + v - j = -4*v. What is the least common multiple of 2 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6*4\/(-1568))\/((-207)\/(-552)).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 773, 2100, -2\/5 in descending order.\nAnswer: 2100, 773, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -45, 3, 4.\nAnswer: -45, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.118 and -0.066?\nAnswer: -0.007788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.037 + -58514271411.\nAnswer: -58514271411.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -1.65759 + -0.3?\nAnswer: -1.95759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -10.6488 rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36481\/2*y**3 - 109825\/2*y**2 - 3\/2 + 1147\/2*y = 0. What is y?\nAnswer: 1\/191, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6829 + 15284 = 819*h for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 109.9593002 to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4\/67 - 29\/1608. Let g(w) be the third derivative of 0 + 0*w**3 - s*w**4 + 0*w**5 + 0*w - 1\/40*w**6 + 2*w**2. Find the second derivative of g(l) wrt l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/4, 14, -1\/11, 13, -38, 5 in increasing order.\nAnswer: -38, -3\/4, -1\/11, 5, 13, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2)\/(-21) + -7*22\/1617. Suppose -7*z - 3*z = p. Find n, given that 6\/11*n**2 - 2\/11*n**5 + 0 + 10\/11*n**4 - 14\/11*n**3 + z*n = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 28\/(-21) + (32\/(-20))\/((-42)\/95)?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -2*t**3 - 33*t**2 - 18*t - 29. Let p be c(-16). What is the closest to 0.1 in -1, 341, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*v + 1 - 1)*(-v + v - 2*v) - v**2 - 2*v**2 + 5*v**2 + (158*v + 164*v + 3 - 326*v)*(-6*v + 3*v + 2*v).\nAnswer: 10*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -5 + 261?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 7*j + 45. Let f be n(-11). Let q(m) = 2*m**3 + 7*m**2 - m - 3. Let v be q(3). Let c = v - 144. Is f >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 231 + -115. Does 29 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4*d + 0*d - d + 0*d in the form h*d + f and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 9\/10 of a milligram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -76625 (base 8) in base 16?\nAnswer: -7d95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -13 + (-7 - -5) + 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 162860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -c8 - ae19b?\nAnswer: -ae263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:21 AM and 5:03 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -w. Let o(t) be the first derivative of -49*t**4\/12 - 6*t - 39. Let g(i) be the first derivative of o(i). Determine b(g(n)).\nAnswer: 49*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -236 - 1464 - 268 = -492*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = p**3 - 6*p**2 - 4*p + 6. Let u be m(7). Suppose c = u + 11. Is 19 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 321152*j + 162415.\nAnswer: 321152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 201 - 405 + 204 + 29713*y.\nAnswer: 29713*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -8*x**2 + 21*x + 1147. Determine f(-11).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -c**2 - 43*c - 186. Let a = 13571 - 13576. Determine v(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 353, 706, 1059, 1412?\nAnswer: 1765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 168 and 51435748.\nAnswer: 308614488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3 + 16. What is the greatest common factor of r and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 1 = 0, 6*v + 3*i = v - 17. Let s(u) = -114*u - 3*u**2 + 67*u + 55*u - 5*u**3 - u**2 - 4. Let o(a) = -a**3 - a**2 + a - 1. Calculate v*o(n) + s(n).\nAnswer: -n**3 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Subtract 9.39152352224 from -0.2.\nAnswer: -9.59152352224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + sqrt(1573))*-6 - (sqrt(1573) + (1 + sqrt(1573) + 1 - sqrt(1573) - sqrt(1573))))**2*-3.\nAnswer: -169896 - 792*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 73 = o - 0*o + x, -x = -1. Calculate the common denominator of 1\/3 and 2*(-268)\/o + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 218224?\nAnswer: 2, 23, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8130 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -o - 4*v - 1, -3*o = -447*v + 443*v + 19 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out 2 - 230660.\nAnswer: -230658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 87 is divided by ((-138)\/(-2))\/(141 + -138)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0262791 rounded to 3 decimal places?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 221 - -11220?\nAnswer: 12211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 0 - -10010000011011?\nAnswer: 10010000011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 1*96\/180*3\/12\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1847 divided by -5\nAnswer: 1847\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 4, -3\/2, -4, -3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3168 and 1536.\nAnswer: 50688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.37169, 0, -3, 70, -0.2.\nAnswer: -3, -0.2, 0, 0.37169, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 15\/3*(-448)\/320?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 157919461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:02 PM and 8:25 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 551 is divided by 136.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -7794 - 25210601.2?\nAnswer: -25218395.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 0.094, -1, -0.6, 0.4, -0.1 in increasing order.\nAnswer: -1, -0.6, -0.1, 0.094, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 124, 173, 222?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 33534*n**5 - 22540*n - 3?\nAnswer: 670680*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.4? (a) 6 (b) 1841 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -47\/1450 and 1\/12.\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 121499503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1399 + -808. What is the remainder when w is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 725564.\nAnswer: 2, 7, 25913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 6\/(-3)*(-294)\/(-2205)\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 610599934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 381, -890, -5475, -15030, -31211, -55674, -90075, -136070?\n\"Answer: -276*d**3 - d**2 + 664*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 15.26 - 15. What is n rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + 2*(-6*(1 + sqrt(612) + sqrt(612)))**2)*1.\nAnswer: 1728*sqrt(17) + 176331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 670*j*s**4 + 31*j - 4*s**2 wrt s.\nAnswer: 16080*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -5*r. Let z(f) = f - 1. Let h = -116 + 82. Let j = 33 + h. Let k(p) = -7*p**2 - 6*p + 6. Let l(v) = j*k(v) - 6*z(v). What is l(u(d))?\nAnswer: 175*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2724531?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**(-2\/75)*o**(-1)*o*o**37\/o**9 assuming o is positive.\nAnswer: o**(2098\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.2345161 centuries to millennia.\nAnswer: 0.02345161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1883777670?\nAnswer: 2, 3, 5, 37, 479, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 97*c + 8. Let r be m(0). Solve -3*f + a + 16 = 0, 12*a = 5*f + r*a - 29 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -b**3 + 9*b**2 - 6*b - 8. Let g be y(8). Let v(f) = -f + 10. Let l be v(g). Solve -3*z + 5*r + 0*r = 11, -r - l = -2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3.3 - -4. What is the biggest value in y, 1\/7, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -j**3 + 12*j**2 + 2*j - 2. Suppose -v - 3*v + 36 = 0. Is m(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 4\/14 + (-8)\/14. Let a = 14771\/27 - 547. Is a < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nllnununou. Give prob of picking 2 l and 2 u.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 0 - 3)*(101*h**2 + 28*h - 21*h - 105*h**2) to j + l*h + p*h**2 and give l.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide 545 by 5.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*t**2 - t**2 - t**2)*(t**3 - t**3 + t**3) + 3375*t**5 + 3366*t**5 + 66*t - 6750*t**5.\nAnswer: -7*t**5 + 66*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*-2*sqrt(1458))\/(sqrt(90)\/(sqrt(10) - (sqrt(10) + 2*sqrt(40)))).\nAnswer: 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -13 + 17. What is the nearest to -1 in 0.2, -1\/2, s?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 5*f - 40*f**2 + 4*f + 7 + 4*f**2 - 2*f + 38*f**2. Suppose -14 - 6 = -4*c. Let x(t) = t**2 + 5*t + 5. What is c*s(h) - 7*x(h)?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1 - (-5 - -4)*43. Suppose -2*z = -4*s + 6, 5*s + 3*z + 9 = v. Suppose 3*h - s*h - 3 = 0. Is h less than or equal to -0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -0.1 at least 15079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = d - 6. Let v be r(6). Suppose 4*m - 74 - 54 = v. Calculate the remainder when m is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 284, 3, 0, 8, -3 in increasing order.\nAnswer: -3, 0, 3, 8, 284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 491 or 9318\/19?\nAnswer: 9318\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s = -377996.803 + 377532. Let g = -0.52 + -464.48. Let m = g - s. Round m to 2 dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1078*s - 857*s**2 - 134 + 134 - 559*s wrt s?\nAnswer: -1714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 5649762 and 5649762.\nAnswer: 5649762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4 - -16ab3?\nAnswer: 16aac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o + 24 = 5*o. Suppose o*r = 3*r - 20, 3*b - 64 = 4*r. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -33.7529149 - -16.9529066. Let u = -397 + 380.2. Let t = u - m. Round t to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3278, -2751, -2224?\nAnswer: -1697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -13*h. Suppose -4*w - 2 + 42 = l, l + 5*w = 45. Let f = l + -6. What is the remainder when z(-3) is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 11344727\/90 + -126051. Calculate the common denominator of x and -13\/330.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 4 (b) 0.3 (c) 0.969 (d) 2\/11 (e) -2\/9 (f) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -10766413*g - 2. Let z(w) = 4*w**2. Calculate b(z(k)).\nAnswer: -43065652*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2*((-15)\/(-2))\/(-5). Which is the nearest to -1\/3? (a) 0.4 (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-48)\/56)\/((-2)\/14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k**(-1\/21)\/k)\/(k**(-2\/35)*k*k))\/(k\/((k\/k**(2\/23))\/k)*(k*k**(-16))\/k) assuming k is positive.\nAnswer: k**(31208\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 48 divide 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d be (40\/(-14) - -2)*-7. Let g be ((-2)\/d)\/((-1)\/33). Suppose 3*j - 4*a - 14 = a, 2*j - 5*a - g = 0. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*c + 6 = 0, 0 = -8*x + 12*x - 18*c - 40 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.1, -2\/3, 27, -6.1, 2?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -4, -0.1, 348?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:40 PM and 7:08 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 150843967, 301687932, 452531897?\n\"Answer: 150843965*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -21*a**3 + 3*a + 2. Let s be z(-1). What is the highest common divisor of 5 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find l such that -5*l**4\/7 - 706576*l**3\/7 + 2685045*l**2\/7 - 2261108*l\/7 - 565276\/7 = 0.\nAnswer: -141319, -1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 91718753 is divided by 685?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/g**15*g\/g**(-9))\/(g*g**(1\/6)\/g*g)**(-2) assuming g is positive.\nAnswer: g**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/2033179 or 2\/71?\nAnswer: -2\/2033179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 76 divided by 19\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -202410 + -10?\nAnswer: -202420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - (-3 + 5 + 1) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 96434.\nAnswer: 2, 13, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*u + 9*u - 2*u. Suppose u*w - 2*w + 1486 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 11, -4\/3.\nAnswer: -3, -4\/3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -58675, -117367, -176057, -234745?\nAnswer: -293431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -z + 372*r + 33 = 377*r, -20 = 3*z - 2*r for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 9 divided by 3640?\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = 22 - 20. Put 0.03, -2\/3, -1, y in descending order.\nAnswer: y, 0.03, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 713 + -713. Solve 4 = -4*w + 4*c, c - 1 + 3 = j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (0 + 3\/12)\/((-3)\/(-4)). Let c(q) be the first derivative of -1\/3*q**4 + 1\/15*q**5 + 0*q + 0*q**2 + b*q**3 - 2. Find r, given that c(r) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 325825 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 88, 94, 102, 112, 124?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*l**2 + 14*l**2 - 4*l**2)*(3*l**2 - l**2 - l**2 + (-4 + 5 - 2)*(-3*l**2 + 5*l**2 - 4*l**2) - l**2 + l - l).\nAnswer: 20*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 1427, 2848, 4265, 5678, 7087?\n\"Answer: -2*t**2 + 1427*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) be the third derivative of o**6\/120 + o**5\/30 + o**4\/8 - 2*o**3\/3 + 3*o**2 - 366. Give k(-4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 419 - 418.761. Let q = -0.2390286 + z. What is q rounded to six dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50*z = -41*z - 3015. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 30\/308 - 3\/(-27)*(-36)\/28?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*f**3 + 2*f + 4*f**3 - 4*f**3 + 274*f**2 - 374*f**2 - 569*f**2 in the form l + m*f**3 + g*f**2 + h*f and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.1, 34, 1.23?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 23995*t + 2 - 6 = 4*q + 24000*t + 5, q - 2*t = 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 151*u - 86*u = -161*u + 12882. Calculate the highest common divisor of 1140 and u.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 462 - 438. Calculate the remainder when 310 is divided by x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 199875072?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -10*o + 251. Let y(j) = -23*j + 503. What is -7*t(f) + 3*y(f)?\nAnswer: f - 248","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 - (-1 - (-4 - 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(-6)*-7 - (-100)\/(-150)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -72 - -72.2. Let f = 0.66 - 0.26. What is the nearest to 0 in s, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 256 and 1016?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by 5902445.\nAnswer: -3\/5902445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = d**2 - 34*d - 315. What is x(39)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -5*g**2 - 3 - 2972*g**3 + 0 - 7*g + 2973*g**3. What is the remainder when y(8) is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 776 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 18 and 414.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 471539.\nAnswer: 471539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -60 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2*2\/(-124))\/(244\/244)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -2*h**3 + 67*h**2 - 44*h - 33. Let v be n(33). Let c = v - -397. Are c and 4\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 6877494 and 546.\nAnswer: 48142458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = 20903.93 - 20904. What is the nearest to 0 in 3\/7, -1\/6, f, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46219807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4*f**3*x**3 + f**3*x**2 - 639*f**2*x**3 + f**2 + 94*x**2 wrt x?\nAnswer: 24*f**3 - 3834*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 81 = -3*x, 6*b = 2*x + b - 54. Suppose m - 4*m - x = 3*i, 0 = -4*i - m - 33. Is 3 a factor of 38\/3 + i\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -5.8 from 6235.660644.\nAnswer: 6241.460644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 66054 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 25, 6, -0.3, 3\/4, -0.5, 8 in decreasing order.\nAnswer: 25, 8, 6, 4, 3\/4, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 22239044 to the nearest integer?\nAnswer: 4716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -0.9436 take away 0.01?\nAnswer: -0.9536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 50 and 6?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 609.41, -2\/15, -4, 1\/2 in ascending order.\nAnswer: -4, -2\/15, 1\/2, 609.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 150 and 24.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bksk when four letters picked without replacement from {s: 3, k: 4, b: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 7543*b**2 + 2*b + 4. Let p be c(-3). Suppose 15020 = 5*n - p. Let g = n + -31581. What is g rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 8 and 1884385920?\nAnswer: 1884385920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -2*b**2 - b**3 - 7*b**2 + 8*b**2 + 2*b - 11. Is p(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 11*h - 7 - h - h**2 + 5 - 7. Give s(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 533190114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f, 1 m, 1 r, and 1 o when four letters picked without replacement from {g: 2, o: 1, r: 1, f: 1, h: 2, m: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -120*h + 251 + 411 = -1258 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 549, 327, -667, -2433, -4971?\n\"Answer: -386*j**2 + 936*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -0.4 * -1342\nAnswer: 536.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 85078, 169859, 254640?\nAnswer: 339421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3*649.854.\nAnswer: -1949.562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 3 - r**3 + 185*r**2 + 163*r**2 + 209*r**2 + r + 91*r**2 - 1 as s*r**2 + q + g*r + b*r**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 6225066 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 1075350 divided by 16050?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1062051800 a multiple of 461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/(4\/2))\/((-6)\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(8)\/sqrt(4) + (sqrt(54)\/sqrt(3) - sqrt(18)))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 88069*0.4.\nAnswer: 35227.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:20 AM and 6:05 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) be the second derivative of 3*v + 0*v**2 + 0 - 1\/6*v**3. Let a(j) = 21*j. Let k(p) = 5*p. Let y(c) = -2*a(c) + 9*k(c). Calculate h(y(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 120\/(-180)*3\/1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (15*d + 5*d + 0*d)*(-2 + 0 + 2*d - 3*d).\nAnswer: -20*d**2 - 40*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*r**2\/4 - 489*r\/4 - 1785\/2.\nAnswer: 3*(r - 170)*(r + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 22 divided by 6\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 535*n + 536*n + 506*n - 1661*n.\nAnswer: -84*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.01 plus -2.688?\nAnswer: -2.698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 1 h when two letters picked without replacement from {k: 1, m: 3, a: 1, h: 2, s: 3}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 527027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 146499224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((sqrt(972) - sqrt(972)*-1*6)*2)\/((sqrt(24) + sqrt(24) + sqrt(24)*-2*-1)\/(6*2*sqrt(4))).\nAnswer: 1134*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 246, 1024, 2338, 4194, 6598, 9556, 13074, 17158?\n\"Answer: s**3 + 262*s**2 - 15*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.8 - -0.1. Let n = t - -4.1. Let a be 8\/30 - (-5)\/(-60)*8. What is the biggest value in n, a, -0.07?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + -5*(-24)\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -k + 9. Let r be q(6). Suppose -3*j + 4*b + 258 = -2*j, -5*j - r*b + 1198 = 0. What is the greatest common divisor of 22 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/13? (a) -0.4 (b) -6 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 1\/5, 0.13, 20\/23, 0.48?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -5671a (base 11) in base 3?\nAnswer: -11011120020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 139*n**2*r**4 + 959*n**2 - 3*n*r**4 wrt r.\nAnswer: 556*n**2*r**3 - 12*n*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 276*v - 549*v + 268*v - 31 = 61*x, -3*v - 2*x = -16 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + 3*b = 0. Find the second derivative of -m**5 - 5 + b + 3*m + 5 wrt m.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.8 + 0.4. Let y = -9.6 + -1.4. Let f = y + 11. Which is the second biggest value? (a) o (b) 5 (c) f (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1830 divided by 5.\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor j**3\/6 - 188899*j**2\/3 + 1511179*j\/6 - 188897.\nAnswer: (j - 377794)*(j - 3)*(j - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-5)\/3)\/((-3)\/(-9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 480 (b) 6\/5 (c) 0.31 (d) -4 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12 + 50*z**2 - 12.\nAnswer: 50*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-21)\/(-2)*4\/3. Suppose a*r - 10*r + 12 = 0. Let l be (-64)\/(-24) + 2\/r. Solve l = -4*v + 18 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 26 - 16. Let z(f) = 6*f + 23. Let n(l) = -3*l - 12. Let q(h) = 7*n(h) + 4*z(h). Does 11 divide q(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*d + 11 = -5*f, 4*f = f + 3*d - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 120606628 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = -242 - -414. Suppose -5*d = b - 182. Let k(f) = -4 + 0*f**3 + 2 - f**3 - f**d - 2*f**2. Give k(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 1 - 3 + 0 - 2*d**2 + d - 2*d**3. Give l(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -594, -609, -624, -639?\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*f**3 + 76*f**3 + 2607*f**2 - 756*f**2.\nAnswer: 80*f**3 + 1851*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 16014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 4 - 271?\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = b**3 + 13*b**2 + 12*b + 3. Let i be o(-12). Let u be 4 + i\/((-15)\/50). Let j be -3 + (3 + u)*-1. Solve -2*p - 2*p + 8 = j for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 69866 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = -49810\/19 + 2623. Are q and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 187636147?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k*k**0*k)\/k)**(-2\/35)*(k*k**12*k)\/k**(-3\/4))**40 assuming k is positive.\nAnswer: k**(4114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wwwaawawawfwwwwwasw. Give prob of picking 1 s and 1 w.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from lneenbrnnne.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = -22 + 20. Let y be (1 - a) + 9\/(-3) + 2. Suppose 5*h = 2*r - 35195, 2*r - 3578 = -y*h + 31624. What is r rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -31534 + 3?\nAnswer: -31531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 11*f - 7*f - 3 - 569*f + 3*f**3 - 167*f - 2 as n*f**2 + y*f**3 + j*f + s and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 0.034709 times 6.4\nAnswer: 0.2221376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) be the first derivative of w**3\/3 + w**2 - 5*w - 2. Let f be a(5). Let n(z) = z + 6. Let i be n(0). Calculate the greatest common factor of i and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2 + (-8 - (-1 - -1)). Let y = n + -2. Let l(x) = -x. What is the units digit of l(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 10067 + -10085. Which is the closest to -35? (a) g (b) 2\/11 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the third derivative of 19*d**4\/24 + d**3\/6 + 37*d**2. Determine j(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -2.9, 0.12 in ascending order.\nAnswer: -3, -2.9, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) be the third derivative of 31*u**2 + 0*u**5 + 35\/2*u**3 + 1\/30*u**6 + 0*u**4 + 0*u + 0. What is the derivative of r(n) wrt n?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 220966 and 5220734.\nAnswer: 3298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*z - 30 = -5*n, 4*n - 6*z + 21 = -z for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 27a (base 13) to base 11.\nAnswer: 36a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) be the second derivative of t**3\/6 - 2*t - 6. Let p(c) = 11*c - 6. Determine p(x(l)).\nAnswer: 11*l - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3\/((-1 + -2)\/(-3)). Factor -46*q**2 + 22*q**2 - 66*q**2 + 64*q - 8 - 162*q**z.\nAnswer: -2*(q + 1)*(9*q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (-304)\/528 + (8\/6)\/2\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 23040 - -12?\nAnswer: 23052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w + 616 = 16*w. Let r be ((-24)\/w)\/(3\/(-63)). Let p be (-3)\/r - 2910\/(-9). What is the greatest common divisor of 17 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -10*p + 122. Is 9 a factor of g(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 1 m when two letters picked without replacement from afmab.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of -6 - ((-23)\/(-6)*-146)\/((-65)\/(-195))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -35473356 by 9.\nAnswer: -3941484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 12 divided by 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -1511, -1919, -2599, -3551, -4775, -6271, -8039?\n\"Answer: -136*w**2 - 1375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 o and 1 p when four letters picked without replacement from {o: 5, u: 2, p: 2}?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.05 + -14.95. Let j = r + 56. Let y = -40 + j. Which is bigger: y or -1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -48*z + 39 + 36 - 75 to the form v + a*z and give a.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 81?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1012117*m**5 + 172*m**2 + 671.\nAnswer: -60727020*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (7 - (-595)\/(-25)) + (-204)\/255*-1\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 15466 (base 7) in base 5?\nAnswer: 114420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*x - 1526 + 111. List the prime factors of x.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 217 divide 2314305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = -20 + 20. Suppose 0 = -5*r - 2*m + 21, -3*m + 441 = 447. Which is the nearest to 0? (a) 0.1 (b) -0.6 (c) o (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (0 - 49\/(-105)) + 3\/15. Which is the nearest to 2\/7? (a) 2\/83 (b) 5\/2 (c) m (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2926, 5780, 8634, 11488, 14342, 17196?\nAnswer: 20050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2*(1 + -2) + (-1 - -6). Sort k, 4\/7, 0.4, 0.1 in decreasing order.\nAnswer: k, 4\/7, 0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10010011011000 - -10?\nAnswer: 10010011011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 201745 and 101772?\nAnswer: 79891020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 14, o: 4}. What is prob of picking 2 o and 2 z?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 10976 + 168*z**2 + 4*z**3 + 2*z**3 + 2352*z + 3*z**3 - 5*z**3 = 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -14400 - -43202\/3. Factor 0*t - 2\/3*t**3 - q*t**4 + 0 + 4\/3*t**2.\nAnswer: -2*t**2*(t - 1)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -3*v**2 - 43*v - 5. Is 6 a factor of b(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine y, given that -5*y**3 + 2440*y**2 + 83045*y + 80600 = 0.\nAnswer: -31, -1, 520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f be (2\/4)\/(1\/304). Suppose 0 = 67*u - 81*u + 28. Suppose 0 = 4*x - u*x - f. Is x a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 390266\/13 + -30044. Is k > -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -79\/2 and 7\/10254.\nAnswer: 10254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-957)\/(-33) + -44 + 45?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = 3*l**2 - 2. Calculate v(14).\nAnswer: 586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand -2 - q**3 + 2 + (2*q - 3*q - q)*(3*q**2 - 5*q**2 + 0*q**2) - q**3 - 2*q**3 + 2*q**3 + 4*q**3 + 3*q**3 - 5*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d be 74\/14 + 2\/(-7). Suppose 3*i + 4*w = -16 + 47, 0 = -3*i - w + 19. Let o be i + d\/((-5)\/2). Solve -4*f - 33 = -2*h + f, 2*f = o*h - 22 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4453 + -1088. What are the prime factors of h?\nAnswer: 5, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 8\/(-6)*(-18)\/4. Let v(g) = g**2 + 5*g - 6. Let p be v(-6). Suppose -5*l + 5 + 5 = p. Solve 4*f - 4*b + 12 = 0, 4*f - 4*b + a = l*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 4, j: 2, f: 2, o: 5}. Give prob of picking 1 j and 1 f.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*b - 52 + 56. Let s = 8 - 8. Suppose -3*m + b + 10 = s. Solve 3*w = -0*w - 3*c, c = w + m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h\/h**2)\/(h\/h**(-4))*(h**1)**(-33) assuming h is positive.\nAnswer: h**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2\/(-7) - 23\/(-7). Let t(p) = -p**2 + 4. Let u be t(0). Let y(n) = 1 + u*n**3 - 4*n**2 - 3*n**3 + 1. Calculate y(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 586 minutes before 6:25 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((4059\/8712 + (-1)\/11)\/(63\/(-12)))\/(-2)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 12256? (a) -0.3 (b) -2\/11 (c) 3\/4 (d) -2 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -f - 2. Let z be l(-1). Calculate the smallest common multiple of (-1)\/(3\/42)*z and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2 - -20?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -816793952 divided by -3293524?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -101.0651029 to two dps.\nAnswer: -101.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2348523*b**5 + 2*b**3*q**2 - b*q**2 - 257936*b*q + 2*q**2 - 2 wrt b.\nAnswer: 46970460*b**3 + 12*b*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f = 83 + -84. Let x(r) = -77*r**3 - r - 1. What are the prime factors of x(f)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 4332.32 - 4337.32. Let p = 3 + -3.5. What is the second biggest value in a, p, -94?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*u**2 + 6*u**2 - 2*u**2 + (2*u**2 + 2*u**2 + u**2)*(2 - 2 + 2) - u**2 + 2 - 2 + u**2 - 2*u**2 + 2*u**2)*(-4 + 4 - u).\nAnswer: -17*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -118, -119, -108, -79, -26?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = a**2 + 35*a + 184. Calculate z(-9).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (4 + 2*(-2 + sqrt(117) + -2) + -2*-6*sqrt(117)*-1)**2.\nAnswer: 240*sqrt(13) + 11712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -221930 rounded to the nearest ten thousand?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*i - 0*i + 6. Suppose 3*r + 3 = -i. Let b(n) = 2*n**2 - n**2 + n**2. Let h(l) = l**2 - l + 1. Determine r*b(q) + 2*h(q).\nAnswer: -2*q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = -75 - -143. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(-3 + sqrt(245)*-1 + sqrt(245)*-1 + 5 - (-3*sqrt(245) + 0 + 2)).\nAnswer: -21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 10251811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-36)\/9 - 3*-3. Suppose 2 = -t - 4*y, -f*t + 19 = -2*y + 7. Suppose -152 = -5*x - h, t*h - 10 = -5*x + 139. What are the prime factors of x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (-15752)\/(-605) + 118\/(-3245)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -q**2 + 5*q - 3. Give k(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (11 - 21 + 2 - 3*d)*(19*d + 59 - 32 - 29).\nAnswer: -57*d**2 - 146*d + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 12719797, 12719872, 12719947, 12720022, 12720097?\n\"Answer: 75*f + 12719722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w**2 + 10*w - 9. Let u be s(8). Suppose -u + 2 = g. Let t = g - -10. Solve 4*n - 20 = 4*o, t = -o - 0*o - 3*n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 13 in -4\/21, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 75980 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = z**3 + 2*z**2 - z - 1. Let x be b(-1). Let c be x\/5 - 4\/20. Differentiate -5 + c*f + 2*f - 2*f - 8*f**3 wrt f.\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 12\/13 (b) -4 (c) 3942 (d) 0 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2374498 and 1414.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 496 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 - 3 = 2*a, 0 = r - a - 40. Let d be -5 + r\/10 + 0. Are -1 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 278 is divided by 104.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t be (14\/84)\/((-18)\/(-12)). Let x(z) be the second derivative of -t*z**3 + 1\/54*z**4 + 0 - 9*z - 4\/9*z**2. Factor x(p).\nAnswer: 2*(p - 4)*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) be the second derivative of x**5\/5 + 5*x**4\/3 - 25*x + 3. Factor g(m).\nAnswer: 4*m**2*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4\/(-3)*12\/(-8). Suppose 1 = y*m + 3. Suppose -6 = -2*g + j, 5*g - 3*j = 2*j + 25. What is the nearest to m in g, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3\/61 + 101\/427. What is the third biggest value in -0.5, 1, 1\/3, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (8\/6)\/(6\/9). Suppose -15 = -9*q + 4*q, 0 = -4*j - q + 15. Solve -t*y = -5*m - 19, -6*y + 3 = -j*y + m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 1 - 5 - 31*x + 28*x + 1. Let d(y) = y**2 + 7*y + 1. Let b be d(-6). What are the prime factors of p(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -499 = 102*f + 361 + 568 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6656 + -4188. Is n at most as big as 2468?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 127182 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -12*v + 4 - 11*v + v**4 - 18*v + v**2 - 61*v to the form s*v**3 + i*v**2 + d*v + u + b*v**4 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*m = -5*m + 48. Suppose -5*t - m*w = -10*t + 2, -4*t - 3*w + 14 = 0. Solve -16 = t*n - h + 5*h, h + 3 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 164*z + 365*z + 483*z - 22264 = 0 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 4335654359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*((r**(-1)*r*r)\/r)\/r)**(6\/13))**(-15\/4)\/((r**7*r*r**7)\/(r**4\/r**(-3))) assuming r is positive.\nAnswer: r**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 40798, 40729, 40658, 40579, 40486, 40373, 40234, 40063?\nAnswer: 39854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -872*i - 3473 - 20943 = 0 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 7 + 0 - 4 - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 59, 72, 85?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 67753 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = i - 6. Let p be u(10). Suppose 4*g = -3*h + 28, -3*h + p*g = g. Let r = 13 - h. Calculate the remainder when 25 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -112*u**5 - 343*u wrt u.\nAnswer: -2240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z = 3*z - 7. Let g(f) = -60*f**2. Let h(q) = 362*q**2 + 3*q + 4. Let d(p) = -6*g(p) - h(p). Let r(k) = -4*k**2 - 7*k - 9. Determine z*d(v) - 3*r(v).\nAnswer: -2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Multiply 15399748 and -0.1.\nAnswer: -1539974.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 + 5 - 5)*(-6 + 6 + d**3) - 4*d + 10*d + 3*d**3 + d.\nAnswer: -4*d**3 + 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -y**3 + 50*y**2 + 101*y + 390. What is the lowest common multiple of 26 and v(52)?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -232 - q**4 - 5*q**2 - 9*q**3 + 232 + 4*q**2 + 20*q in the form m*q**4 + j*q**2 + s + f*q**3 + z*q and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = 18782*p + 7907249. What is c(-421)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-268600)\/(-237) + 8\/12. Calculate the greatest common factor of 28 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.093 + 67.907. Let o = b - 68.114. Let f = 4.586 - o. Round f to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxrrqxxq. Give prob of sequence qqx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide -123 by -58.\nAnswer: 123\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 6 - ((-26)\/39)\/((-2)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -451 (base 11) to base 8\nAnswer: -1034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 1664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 2 = 0, -144 = 4*m + 3*n - 23. Let b = 19 - m. What is the highest common divisor of b and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*q - 4*q - 2450960 + 8*q.\nAnswer: -q - 2450960","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 2, -2, 0.24, 116, -2\/5, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2165 - 2163. Let p(j) be the second derivative of -7*j + 0 + 1\/6*j**3 + 4*j**s. Give p(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 5, e: 14}. Give prob of picking 2 d.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 94 divide 2446632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 105194723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -289*l - 194*l**3 + 20*l**2 + 291*l - 5*l**2 wrt l?\nAnswer: -1164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6*n**2 + 4*n**3 - 14*n**2 - 6*n**3 to v + d*n**2 + y*n**3 + b*n and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tctttcsss. What is prob of sequence tst?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -15, 0.03, -12?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*d - 4*s - 12, -398*s - 15 = d - 393*s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 18 and 153?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j\/j**6*j*j)\/j*j*j)**(2\/9) assuming j is positive.\nAnswer: j**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -3*x + 15. Calculate the lowest common multiple of x and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 28675*j**2 - 14324*j**2 - 14323*j**2.\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 48330 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 126*z = -4526 + 105830. Calculate the smallest common multiple of z and 402.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 50107 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -7*k + 182. What is i(20)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 87 = -2*z - 135. Let a = z - -180. Does 26 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ooooooooo. What is prob of sequence oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -p**3 + 23*p**2 + 21*p - 284. Calculate s(23).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) be the third derivative of 0*m**4 - 19\/336*m**8 - 2*m**2 + 0*m - 1\/2*m**3 + 0*m**7 + 4 + 0*m**6 + 1\/60*m**5. Find the third derivative of c(a) wrt a.\nAnswer: -1140*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*s + 1452 = 37*s. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + sqrt(288)*-4.\nAnswer: -48*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3.6696 - 0.422. Let c = z + -0.0776. Let y = -0.17 + c. Sort -6, -4, y.\nAnswer: -6, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in 13, 24, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 395, 673, 945, 1211, 1471, 1725, 1973?\nAnswer: 2215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -176*n + 354. Give f(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vh when two letters picked without replacement from {h: 1, p: 1, v: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify k\/(k\/(k\/(k\/(k*k**(-1\/5)))))*(k*k**(-6)\/k)\/k*k*k*(k**0\/k*k)\/k**(-4\/3) assuming k is positive.\nAnswer: k**(-43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1141160160.\nAnswer: 2, 3, 5, 7, 339631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnnnnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s = 6.51 + -2.51. Sort 3\/5, -1\/9, s in increasing order.\nAnswer: -1\/9, 3\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 193\/25410 and 46\/7623?\nAnswer: 76230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b + 2*p + 8 = 0, 0 = -b + 4*p + 14 + 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 2863 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -5 - -a8?\nAnswer: a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -367 - -1aa?\nAnswer: -18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*v - 2*v - b - 12, 0 = 5*v - 5*b. Suppose -g + v*g + 11 = -4*l, -4*l - 8 = 4*g. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) be the first derivative of 623*x**3\/3 + 1255*x**2 + 1695. What is the second derivative of o(s) wrt s?\nAnswer: 1246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.664772 years to millennia.\nAnswer: 0.002664772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 845, 14\/11, 0.12, 0.2, -0.5 in descending order.\nAnswer: 845, 14\/11, 0.2, 0.12, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) be the second derivative of -x**5\/4 - x**4\/3 + x**3\/2 + 39*x. Let l(y) = -4*y**3 - 3*y**2 + 2*y. Calculate 3*g(a) - 4*l(a).\nAnswer: a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -86 = -4*k + 106. Let l be (k + -7)\/((-1)\/(-2)). Suppose 3*p - l = -4*w + 153, 3*w + 4*p = 185. What is the remainder when w is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 882 and 12696894?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 392 and 37595446.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -t**3 - 2*t**2 + 13*t - 5. Let v be o(-6). Let s = v + -25. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (9\/(-5) - -2)\/((-2082)\/2082)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -13\/10 in -0.3, 0.4, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 234205300 divided by 1338316.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = -12 + 16. Solve 0*i = x*i + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -687 + 1069. Let x = 214597\/20 + -10732. What is the common denominator of i\/(-44) - -3 - -2 and x?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -5, -20, -43, -74, -113, -160?\n\"Answer: -4*x**2 - 3*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*a + 688646 = 8*a. Suppose -5*u + 18526 = -a. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -236 or 5465.5?\nAnswer: -236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (-2 - 3 - -15 - 3) + -5 - -6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 215 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -41 + 10 - 8 + 67*c - 18. Let v be w(9). Round v to the nearest 10.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 10.659 - 10.669. Let u = -4.803 - 0.217. Let s = 0.02 + u. Which is the smallest value? (a) y (b) 0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 33 and 27247?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 259825930 divided by 129912965?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 7*q**2 - 7*q - 16. Let o(i) = 4*i**2 - 4*i - 10. Determine 5*o(r) - 3*t(r).\nAnswer: -r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 260498456 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 192044 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2207906251.\nAnswer: 43, 51346657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 22 and 32373.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -3, 19, 22, 1\/3, 0.5, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*p**2 + 45*p - 12 = 0. What is p?\nAnswer: -4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 83764120 divided by 110.\nAnswer: 761492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 5*j - 12. Let c be h(3). Suppose 0 = -3*r + 2*z + 11, c*r + 0*r = -z + 17. Suppose -8 = -d + t, r*d + 4*t = 10 + 3. Solve -3*u = 2*u + d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -0.08, -1.1, -0.06, -5 in decreasing order.\nAnswer: -0.06, -0.08, -1.1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -146 in -0.18, -2\/15, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-65)\/20 + 4)*-4 + 32 - -6. Sort d, 0, 5, 4 in increasing order.\nAnswer: 0, 4, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 8 and 9312676?\nAnswer: 18625352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 3103717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -3, 1, 728?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) be the first derivative of -2*b**3\/3 + b**2 - 4*b - 7. Let k(m) = -1. Give -h(s) + 4*k(s).\nAnswer: 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -2825884 divided by 706471\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 11 + 1 = 0. Let n be z + 3 + -2 - -2. Suppose -5*o + n = -4*o. What is the least common multiple of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*d + 0*d + d)*(5*d + d - 4*d + (-5 + 5 + 1)*(-4*d - 2*d + 5*d) + 0*d - d + 3*d + 20 - 20 - d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2583 - 1958. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2 and 340453?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-6)\/(-10)*3*5. Suppose -2*n + z - 3 = 0. Solve 0 = -n*k + k - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 93.13061g in tonnes?\nAnswer: 0.00009313061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-14)\/(-6)*(-112)\/280*25\/(-7)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 38 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-2\/7))**2\/((p\/(p\/(p\/p**(2\/17)*p)))\/p**0) assuming p is positive.\nAnswer: p**(-292\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 132 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is f in -2*f**3\/7 + 4*f**2\/7 + 2*f\/7 - 4\/7 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.0893 + -2.0893. Let o(m) = -m**2. Let p be o(-2). What is the third biggest value in f, 1, 1\/4, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 15 - 16 - 45*z + 31*z - z**3 + z**2 to s + l*z**2 + i*z**3 + y*z and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 191 is divided by 100?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 8.9263151 to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 - 1 = -r. Put r, -2\/11, 2\/19 in increasing order.\nAnswer: -2\/11, 2\/19, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 630\/2835 - 104960\/9. Suppose p - 2*l - 3*l - 43747 = 0, -3*p - 5*l = -131301. Let m = p + r. What is m rounded to the nearest 1000?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine v so that -2*v**2\/17 + 1674*v\/17 - 18632 = 0.\nAnswer: 289, 548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Subtract 7 from -164.\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out -1 - -1438195958.\nAnswer: 1438195957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 4638421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -25 in -0.2, 2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -52 + 34. Let m be (4\/(-6))\/(4\/l). Solve 4*z + 2*q = 2*z + 8, m = 2*z + q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -72*i - 22 = -94 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 10 = 4*a - 5, 0 = -3*k + 3. Let t be (-126)\/(-27)*-3*(-4)\/14. Let f be ((-2)\/(-3))\/(2\/9). Sort t, f, a.\nAnswer: a, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 299234?\nAnswer: 2, 13, 17, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -4\/11 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 236*l - 312*l = -2918 - 730 for l.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 27422 divided by 4.\nAnswer: 13711\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (358 - 363) + -1 + -1 + 3 + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -52, -109, -166, -223?\n\"Answer: -57*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.5 and 2112.\nAnswer: 2111.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 6.599222 nanograms to micrograms.\nAnswer: 0.006599222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 194869*r - 18*r**2 - 194869*r - 2 + (r + 0 + 0 + (-4 + 0 + 6)*(r - r + r) - r + 2*r - 2*r - 3 + 3 - 10*r)*(-2*r - r + r).\nAnswer: -2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -0.5 * 0.0356645\nAnswer: -0.01783225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 5470 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o + 1 = 3*d - 2, 4*d = -o + 7704 - 7681 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 14 and 20232.\nAnswer: 141624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -58*b**2 + 118*b**2 - 61*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 3*v - 5. Let b(u) = -5*u + 8. Let f(t) = 5*b(t) + 8*w(t). Let r(j) = 2*j**2 - j**2 - 2*j**2 + 0*j**2. Calculate f(r(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = -2*i - 16. Let u = i - 2. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0 - 3 + 5*j**4 + 2*j**4 - 3*j + 2 - 6*j**4 - 17*j**2 as b*j + s + c*j**4 + n*j**2 + l*j**3 and give n.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out 70 * 4.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 1\/10 of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 107492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 1797415185492 less than 0.3?\nAnswer: -1797415185491.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 0.5, -2\/94731, 4, -148, -5 in increasing order.\nAnswer: -148, -5, -4, -2\/94731, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + 1 - -5*(-1)\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -r**3 + 6*r**2 + 16*r - 17. Let l be s(5). Suppose l = -b + 334. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 0 + 28875?\nAnswer: 28875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(33)\/(sqrt(24)\/sqrt(8)) + (sqrt(77)\/sqrt(7)*2)**2.\nAnswer: sqrt(11) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -a + 35. Let i(l) = 68*l - 13. Let g be i(2). Let n = 132 - g. Let y be x(n). Solve z - 5*q - y = 0, -5*z = -4*q - q - 30 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6\/13*w + 4\/13 + 2\/13*w**3 + 0*w**2 = 0 for w.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*n - 3*n + 2*m + 4 = 0, 31 = 3*n - 5*m. Let g(z) be the third derivative of 3*z**4\/8 - z**3\/2 + z**2. Is g(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = g**3 - 2*g**2 - 23*g + 49. What is j(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = -10 + 15. Suppose a - 3*a = -3*t - 54, -m*a = 4*t - 112. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -8 - -12. What is the common denominator of -99\/2 and 6\/g*231\/(-49)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -955*j**3 - 2*j**2 - 3*j - 131145 wrt j?\nAnswer: -2865*j**2 - 4*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 69 - 343\/5. Let b = -2.2 - -0.2. Sort b, -1\/5, a in descending order.\nAnswer: a, -1\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24720*o + 24711*o = -149733. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from alaqaqvqllqqlq. Give prob of picking 1 a and 3 q.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1\/89 and -47\/1147?\nAnswer: 102083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 248674 and 18.\nAnswer: 2238066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 722*q - 56*q = -11988 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 - 0) + 0 - (-7 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pfa when three letters picked without replacement from {c: 1, f: 4, a: 2, b: 5, p: 2, m: 1}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 + 1 = c. What is the smallest value in -0.3, c, -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) be the first derivative of 9*y**2\/2 - y - 4. Let h = 791 + -796. Let w(d) = 8*d - 1. What is h*q(f) + 6*w(f)?\nAnswer: 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 66007 is divided by 282.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (2\/20*-27)\/((-138)\/(-575))*8\/1\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 1, c: 4, s: 2, e: 3, z: 3, n: 2}. Give prob of picking 1 n, 2 z, and 1 e.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 12083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 43423?\nAnswer: 173, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55*t - 60*t = -40. Suppose t*z - 47 - 1 = 0. Solve 4*u = -22 + z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 17*i - 12*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express (2*k**3 + 2 - 2)*((2 - 2 + 1)*(2 - 5 + 10) - 2 - 3 + 3 + 3 - 9 - 7 - 1 + 1 - 2) as f*k**3 + r*k + p + t*k**2 and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -0.01856135567 to seven decimal places.\nAnswer: -0.0185614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 23*p - 69 - 0. Solve -2*f = 9*t - 5*t - 6, -p*t = 3*f - 9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -6 + -26. Let h = c + 212. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -l - 2 = t, 14*l = 11*l - 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-84)\/(-12775)*(-10)\/(-4). Put -0.3, 2, c in increasing order.\nAnswer: -0.3, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2) - (sqrt(2)*-2 + 1)) + (sqrt(288)*3 - sqrt(288)) + -5)**2 + 5.\nAnswer: -324*sqrt(2) + 1499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 231 minutes before 11:29 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + -2 + (-9 - -16) - (7 + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 42*v - 50*v + 1520. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (1 + -2)\/(11 + 3474\/(-315)). Suppose -25*q = -r*q + 13610. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*p - 3514 - 921. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 1 + 18 = 4*y, 2*y + 5*d - 25 = 0. Suppose 4*s - 18 = -y*k, 3*k = -k - 5*s + 18. Let x = 10 + -5. Solve 0 = k*t - x*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 387 a factor of 115340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) be the second derivative of 0 - 1\/12*u**4 - 1\/2*u**2 - 2\/3*u**3 - 2*u. What is m(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 273 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3*(-2)\/(-6)*6. Let h = u + -4. Let r(x) = 6*x - 2. Let v be r(h). What is the highest common divisor of v and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-10*m + 7*m + 5*m)*(0*m**4 + 6*m**4 + m**4).\nAnswer: 14*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -146 + 1?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -2*j. Let t(m) = -25227953*m**2 + 1. Calculate t(d(p)).\nAnswer: -100911812*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (sqrt(1539) - -6*(sqrt(1539) - (sqrt(1539) + sqrt(1539) + 1)))**2 + (-4 + (2*sqrt(1539) - sqrt(1539)))**2.\nAnswer: 468*sqrt(19) + 40063","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1729, 3431, 5127, 6811, 8477, 10119, 11731, 13307?\nAnswer: 14841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o = 2*f + 85 - 95, 3*f = 5*o + 15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 466796500 by -250.\nAnswer: -1867186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m be (24\/40)\/(1\/5). Suppose m*h - h = 0. Put 3, -5, h in ascending order.\nAnswer: -5, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -41921\/16 + 2619. Let y = 30 - -40. Calculate the common denominator of b and (-113)\/(-2)*7\/y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 116*x - 15*x - 35*x - 1848 = 0 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*j**3\/9 + 16*j**2\/9 + 22*j\/9 - 40\/9.\nAnswer: 2*(j - 1)*(j + 4)*(j + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = 13343 + -13303. Calculate the greatest common factor of 2095 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (1 - -116) + 350\/50 is divided by 68?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 182361 a multiple of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 2, u: 3, g: 4}. What is prob of picking 1 c and 3 u?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-63)\/(-70)*(-87)\/1566.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1.14960092689 less than 0.04?\nAnswer: -1.10960092689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -106, 4.46, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in -0.1, -4, 7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 52320.\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (-17 + 7 - 7) + -2 + 0\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 99 + -94. What is the second derivative of -8*r**5 + 15*r - 89*r + 6*r + 24*r**m wrt r?\nAnswer: 320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = -4*t + 4*r, r + 2*r = -2*t - 13. Let n be (8\/(-16))\/(2\/92). Let v = t - n. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 849251438 a multiple of 1837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 106778*u**3 + 165*u - 78*u - 87*u - 106781*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1151*f**6 - 58*f**2 + 2*f wrt f.\nAnswer: -138120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11 - (4*7 + -2 - (-1019 - -1034))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*i - 3*a, 4 - 28 = -5*i - a. Suppose x - i*d - 5 = 0, 5*x + 0*d + 19 = -2*d. Let g be (-28)\/6 - 2\/x. Is -4 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) be the second derivative of q**7\/2520 - 47*q**6\/180 + 2209*q**5\/30 - 47*q**4\/3 + 332*q. Let g(j) be the third derivative of s(j). Factor g(o).\nAnswer: (o - 94)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 43.248 * -43\nAnswer: -1859.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00332192129 to 5 decimal places.\nAnswer: -0.00332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + 4*u + 22 = 0, -76*h + 80*h - 44 = 3*u. Which is smaller: h or 49\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-54)\/21)\/((-3)\/14). Suppose 2*f - 4*s + a = 0, f - s - 3 = -2*s. Suppose f = -h - h + 56. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 156 is divided by 156?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-11)\/66*(-6)\/18*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 2199 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f be 15\/(-6)*24\/(-15). Suppose -20 = -f*l + 4. Suppose -l = h - 22. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22 = 4*d - 2*d. Let p = -8 + d. Let s(a) = 4*a + 1. Let v(n) = -9*n + 7. Let u(o) = 7*o - 6. Let z(c) = 6*u(c) + 5*v(c). Calculate p*z(l) + 2*s(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Product of 5 and 0.09231.\nAnswer: 0.46155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + 3*d - 10 = 0. Suppose -5*u = 2*r - d, 4*r - 3*r + 14 = 5*u. What is the second derivative of 2*c**u - c - 9 + 0*c**2 + 9 wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - 70 = -0*k. Let z be 17\/(8\/(-4) + 3). Suppose -87 = -5*d - z. Is k bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -10 - -7.5. Let y = c - -4.5. What is the fourth biggest value in -2, 4, -4\/9, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5 + 6 + 15 + 4 - 5 - 1 + (2 - 1 + 1)*(0 - 1 + 3) - 3 + 2 + 0)*(-j**2 + 4*j**2 - 5*j**2) to i + l*j**2 + q*j and give l.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fqaamqacfasfaq. Give prob of sequence mqas.\nAnswer: 5\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1\/36 (b) -0.5 (c) 0.5 (d) 0.04 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 16.10282 years to months.\nAnswer: 193.23384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -11*x**3 + 8*x**2 - 3*x + 3. Suppose -j - 2*v + v = -4, -2*j + 12 = v. Let u(h) = -4*h**3 + 3*h**2 - h + 1. Determine j*u(a) - 3*t(a).\nAnswer: a**3 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/3? (a) 2 (b) 13.1 (c) 2\/11 (d) 381\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -9\/175?\nAnswer: -9\/175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k**3 - 3*k**2 + 2*k - 3. Suppose -2*t = -8 + 2. Let n be w(t). Let r be (-6)\/(-4)*(-2)\/7. What is the third smallest value in 0, r, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 735*w**5 + 9205*w**4 - 15160*w**3 + 900*w**2 + 6560*w - 2240 = 0 for w.\nAnswer: -14, -2\/3, 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p be 9\/12 - (-108)\/(-16). Let u(n) = -n + 3. Is u(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*g**3 + 4*g - 4*g + (-g**2 - 2 + 2)*(-4015*g + 113787 - 113787) as h*g**3 + d + m*g + y*g**2 and give h.\nAnswer: 4018","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 98 divided by 7\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (10 - 9) + (1 + 0 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 61*f - 70*f = 9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1068348 and 204?\nAnswer: 1068348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 12 = -42. What is the units digit of 115\/(-25)*h*-23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -8*c*k*n**3 + c*k*o + c*n**3*o**2 + c*n**2*o**2 - k*n**3 - 51*k*n*o**2 + 2*n*o wrt o?\nAnswer: 2*c*n**3 + 2*c*n**2 - 102*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 10.51 times -190?\nAnswer: -1996.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (29 + 1107\/27 + -67)*(-10)\/(-3)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (36\/(-105) - -1) + 16\/(-20). Let k = 5 - 5.3. Which is the second smallest value? (a) 2 (b) o (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify u\/u**(-12)*u*u\/(u**(1\/17)\/u) assuming u is positive.\nAnswer: u**(271\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-18)\/30 + 234\/(-10). Let h(o) = -24*o**2 - 7 - 10*o - o**3 + 9*o + 7 - 10. What are the prime factors of h(v)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -11bc6 - 27?\nAnswer: -11c0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 801.545 kilograms to milligrams.\nAnswer: 801545000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 312 - 309. Let i = 0.2 - 0.2. What is the closest to i in 5, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor z**2\/4 - 15*z\/4 - 19.\nAnswer: (z - 19)*(z + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-15*u - 534 + 534)*(0*u - u - u)*(-u + 5*u - 2*u) + (2*u**2 - u + u)*(-u - 2*u + 2*u) - 5*u**3 + u**3 + 2*u**3.\nAnswer: 56*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*j**4 + 0*j**4 + 9*j**4)*(-22696 + 22693 - j + 6*j).\nAnswer: 30*j**5 - 18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = -36 + 39. Solve 0 = -w*v + 6 - 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -35547*q + 35590*q + 2494 for q.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find j such that 2*j**3 + 331314*j**2 + 13720955166*j - 13721286482 = 0.\nAnswer: -82829, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 31 a factor of 3193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -17, -1, 4, 5, 20 in decreasing order.\nAnswer: 20, 5, 4, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 257313 is divided by 48.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 4495.352 weeks in microseconds?\nAnswer: 2718788889600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 1, f: 2, j: 1, y: 1}. What is prob of picking 1 t and 1 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -824*l**4 - 4*l**3 - 3*l**2*t + 105*l*t - 55*l wrt l?\nAnswer: -9888*l**2 - 24*l - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -z**2 - 8*z + 71. Let y(g) = g**2. Calculate b(y(k)).\nAnswer: -k**4 - 8*k**2 + 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -2*q + 6. Let u = -189 + 185. Let m be (4 + u)\/(1 + 1). What is s(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -189, -5, -28, 6, -18, 2 in decreasing order.\nAnswer: 6, 4, 2, -5, -18, -28, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x + 3*x - 6*x. Let m(u) = -3*u. Let q(f) = -f. Let g(z) = -m(z) + 2*q(z). Give g(p(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = -6 + 11. Let r be 1\/(-4) - 55\/(-44). Let o be (r - 2)\/((-13)\/52). Solve 2*m - 2*w - o = 0, 3 = c*m + 4*w + 29 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 603389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:55 PM and 10:33 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 35998626 and 5999771?\nAnswer: 35998626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 20 and 77218?\nAnswer: 772180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -m**2 + m + 4. Let b = 6982 + -6954. What is the least common multiple of b and a(0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 2*n + 20. Let b be u(-6). Let v = 149 - b. Is 20 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*n = -763 - 336. List the prime factors of n.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 10, -33, -150, -377, -750, -1305, -2078, -3105?\n\"Answer: -6*j**3 - j**2 + 2*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/(h*h**(-6)\/h))\/h**(-3))**(-5\/6)\/(h**5\/h*h**5)**(4\/13) assuming h is positive.\nAnswer: h**(-433\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -7 (b) -3\/391 (c) 0.1 (d) -1 (e) 1\/7 (f) 3 (g) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -22*f - 2. List the prime factors of l(-7).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + 16\/(-56) + 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 234.1 - 449.2. Round v to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 3, w: 11}. What is prob of sequence fff?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -197.032 rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(-1\/18)\/i)\/i**(-15))\/(i*i*i**(7\/3)*i)**7 assuming i is positive.\nAnswer: i**(-421\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = 21 - 8. Calculate the remainder when 35 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 3*c - 5. Let m(y) = y + 1. Determine 4*m(g) + r(g).\nAnswer: 7*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 2*a**3 - 39*a**2 - 21*a + 63. Suppose -2*f + 52 = 3*x, -57*f + 4*x - 116 = -62*f. What is the remainder when 64 is divided by w(f)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 531316.\nAnswer: 2, 19, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/3? (a) -1\/14243 (b) 0.3 (c) 0.061\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 700 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w be (30 - 23) + -3 - (4\/2)\/2. Let f = 3 + -8. What is the closest to w in 3, -0.2, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l + 51 = l - 5*r, -15 = 3*r. Let h = 1 + 17. Suppose -c - 4*z - h = 0, 0*c = 3*c - 4*z - l. Solve -6 = -c*p - 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 0 - 132655154?\nAnswer: -132655154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w be 15\/6*(-8)\/(-5). Suppose -5*v + 3*q = -957 + 237, -w*q = -3*v + 443. Let j = v + -82. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(133)\/sqrt(7) + 0)*-2 + ((sqrt(171) + 6*-1*sqrt(171) + sqrt(171) - sqrt(171))\/sqrt(9))**2.\nAnswer: -2*sqrt(19) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00056939 rounded to six dps?\nAnswer: -0.000569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = z**3 - 6*z**2 + 4*z + 9. Let b be c(5). Suppose -4*i + 54 = -2*x, 0*x + 15 = -5*x. Solve -b*k + k = i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1 + -514575?\nAnswer: -514576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1239 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2.486? (a) 1 (b) 11 (c) 179\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 plus -377.1328?\nAnswer: -376.6328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = 46 - 136\/3. Let m = -12.176 + 12.01. Let n = 5.534 - m. Is n <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 623 and 4094?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -y - 9. Let o(g) = 34*g - 676. Let h be o(20). Calculate x(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 24*b + 8. Let m be i(2). Let n be (m\/6)\/((-20)\/12 + 2). What are the prime factors of (-1414)\/n*(-4 - -2)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 10.299537341 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -0.0378, 3\/5, -1, 8\/23 in decreasing order.\nAnswer: 3\/5, 8\/23, -0.0378, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 95655131*n**4 - 2*n**2 - 350942344 wrt n.\nAnswer: 2295723144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 2*m**2 + 19*m - 6. Let z be r(-10). Let f = 0.3 - -0.1. What is the second biggest value in z, f, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 669\/446 - (3 + 98\/4)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -1.133*-1797\nAnswer: 2036.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 522869.2452 to the nearest 1000.\nAnswer: 523000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -7\/136 - -851\/680. Sort -10, w, 2, -5 in descending order.\nAnswer: 2, w, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 639*s**5 + 4314*s**4 - 1945650*s**2.\nAnswer: 38340*s**2 + 103536*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 528 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) be the first derivative of -i**4\/4 - 3*i**2 + 8*i - 1. Let r(m) = -3285 + m - 3278 + 6562. What is -q(g) - 6*r(g)?\nAnswer: g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -m**3 - 113*m**2 - 326*m + 486. What is the remainder when 551 is divided by r(-110)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*z - 57 = 31. Suppose -5*d = -z*d + 2862. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 121, 247, 395, 577, 805, 1091, 1447, 1885?\n\"Answer: 2*k**3 - k**2 + 115*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 120509, 241229, 361949, 482669, 603389?\n\"Answer: 120720*x - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + (sqrt(396) - -2*sqrt(396) - sqrt(396))*3 + 5)**2*3.\nAnswer: 1944*sqrt(11) + 43011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange n**4 - 5*n**3 + 2 - 6*n**3 - 2*n**3 to the form q*n**4 + z*n**3 + r*n + u*n**2 + h and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kknn when four letters picked without replacement from {k: 9, n: 7}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2184849?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -559*-2\nAnswer: 1118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (14\/(-7))\/((16\/6)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2128.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 3, o: 1, d: 1, c: 1, a: 1, i: 5}. What is prob of picking 1 i, 1 c, and 1 o?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 14, w: 4}. Give prob of sequence sw.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -38\/35841 and -62\/69?\nAnswer: 824343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -55, -65, -109, -187, -299, -445, -625?\nAnswer: -839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1341694 and 0.35.\nAnswer: -469592.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-30330)\/192)\/((-7)\/(-4)). Let o = 561\/7 + v. Let y = -21\/2 - o. Calculate the common denominator of y and 5\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 793 is divided by 138?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = 83\/35 - 14\/5. Let g = 0.8 - 0.7. Let j = -12033\/2 - -6016. Which is the nearest to j? (a) 4 (b) g (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*h - 3 + 3)*(-1 + 3 - 4) - 109332 + 109332 + 1591*h.\nAnswer: 1595*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 21748 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = 18 + -16. Suppose -16 = -q*l - 2*l. What is the second derivative of 11*h**l - 26*h + 33*h - 4*h**2 + 4*h**2 wrt h?\nAnswer: 132*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v**3 + 3*v**2 + 90*v + 371. What is z(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/2 - 6\/(-4))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = t**3 + 4*t**2 - 3*t - 12. Let w be l(-4). Suppose -m + 1 = 4. Which is the nearest to 1? (a) m (b) w (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 20, -9, -65, 56 in decreasing order.\nAnswer: 56, 20, -9, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = -310 - -307. Let w(l) = -255*l + 34. What is the hundreds digit of w(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4.460731968 rounded to 1 dp?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 4573 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -67\/7416 and -37\/167272.\nAnswer: 1505448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*p**2 + 3*p + 0*p + 5 - 4*p)*(19*p + 10*p - 16*p).\nAnswer: 26*p**3 - 13*p**2 + 65*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -3*j + 4*s - 11, 0 = 3*s - 15. Let u be ((-15)\/9)\/(2\/(-6)). Suppose -4*i = -6*i - 8. Sort u, i, j in ascending order.\nAnswer: i, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.2866592 rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) be the first derivative of 2*o**3\/3 - 114*o**2 + 6498*o - 32. Factor u(q).\nAnswer: 2*(q - 57)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -14 - -23 - (8 + 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 398790*f**2 - 337727 wrt f.\nAnswer: 797580*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2995 + 3785. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10993 is divided by 70?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -4 + 5*v**3 - 4*v**2 + 8*v - 6*v**3 + 11. Let o be 141\/(-27) - (4\/9)\/(-2). Give b(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 528 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u be 30\/(-225) - 4\/((-120)\/274). Solve 8*f + 15 + u = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from eoenqnooneee.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -g - 21. Determine d(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*l = 4*g + 3*l - 3, 0 = 3*g + 3*l - 9. Let f(p) = 3 - p + g*p + 0*p + 4*p. Determine f(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2 - -4. Let x = 3.1 - 0.1. Which is the nearest to s? (a) -2\/17 (b) x (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6114 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 95\/1984 and -45\/14?\nAnswer: 13888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8098 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 121952 and 444.\nAnswer: 365856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-3350358)\/14 - (-2)\/7. Let c = 67311 + r. What is c rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -1056, 45842 in decreasing order.\nAnswer: 45842, -1, -1056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3874*i**3*t**2 + 2*i**3*t + 17*i**3 - i**2*t**2 + 14*i**2*t - 2*i*t**2 + t**2 + 294*t - 2 wrt t?\nAnswer: 7748*i**3 - 2*i**2 - 4*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(6\/13))**(1\/3)\/(c*c**(-3\/14)\/c*c*c\/c**25*c) assuming c is positive.\nAnswer: c**(4071\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -0.178408883 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 4*t + 5. Let y(f) = 5*f - 233. Let x(w) = 3*w - 135. Let b(h) = 7*x(h) - 4*y(h). What is b(c(d))?\nAnswer: 4*d - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.32402 * 0.0081.\nAnswer: 0.002624562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = -77 + 73. Let z be (v\/4)\/(-2*3\/24). Put 3, -4, z in increasing order.\nAnswer: -4, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 3*y - 2. Let q(t) be the second derivative of -2*t**3 + 9*t**2\/2 - 2*t + 7. What is 4*q(k) + 18*s(k)?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -5*r**3 - 3*r**2 + 5*r + 2. Let t be (76\/12 + -5)\/(2\/(-6)). Let h(j) = 6*j**3 + 3*j**2 - 6*j - 3. Let v(k) = t*h(k) - 5*p(k). Determine v(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*t**3\/7 - 8*t**2\/7 + 6*t.\nAnswer: -2*t*(t - 3)*(t + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - 3*w = 10. What is the remainder when 123 is divided by 2\/(-2) + (w - -28)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:34 AM and 8:58 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = 52 + -37. Solve -3*h + u = -6*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, -3\/1148, -2\/11, -3, -5 in ascending order.\nAnswer: -5, -3, -0.5, -2\/11, -3\/1148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -m**3 + 8*m**2 - 30*m + 57. Calculate r(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -139499721*j**3\/2 - 1673973030*j**2 + 566926*j - 48.\nAnswer: -(j + 24)*(11811*j - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -267422, -1069700, -2406822, -4278782, -6685574, -9627192, -13103630?\n\"Answer: a**3 - 267428*a**2 - a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l**3 - 7*l**2 - 2*l + 6. Determine x(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -41\/152 and -29\/57?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be 27\/4 - (-2)\/8. Let a(f) = -27*f - 44. Let p(o) = -36*o - 68. Let q(n) = -7*a(n) + 5*p(n). Is q(m) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 389\/(-5)*-9 - 54\/45. Does 674 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 49 and 784.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -6257 - -653?\nAnswer: -5404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 1 - (-33 - (-53 + -20))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 834 + -798. Suppose -4172 = j*z - 22604. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 26\/5 of a millennium?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 89044.74ml in litres?\nAnswer: 89.04474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 190014476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -9 + i**3 - 4 + 9*i**2 - 10*i**2 + 12*i**2 - 43*i. Let f be j(-14). Solve -o + f = 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -47*w**2 + 11*w**2 + 3*w + 7*w**2 + 4*w**2 + 33*w**2 + 3*w**2.\nAnswer: 11*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2272 + -1233. What is the second derivative of -1 - 1072*y + 3 + 6*y**3 + a*y + 17*y**3 wrt y?\nAnswer: 138*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 5*o - 3. Let p(s) = 4*s - 38. Let k be p(12). Let g be f(k). Let a = 47 - g. Solve b = -5*x + 12, -3*b + 3*x = -a*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10127877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 111*r - 2082. Let s(j) = 63*j - 1040. What is 4*g(f) - 7*s(f)?\nAnswer: 3*f - 1048","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (92\/(-598))\/(2\/2).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 82179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -160*v + 1067. Give m(6).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Total of 43570 and 23.\nAnswer: 43593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 11 and 207.\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2)\/((40\/12)\/5). Let j be 6 + (-1 - -3) + i. What is the third derivative of -45*k + 45*k + 3*k**6 - j*k**2 wrt k?\nAnswer: 360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -927 + 4974. What is the greatest common divisor of 57 and b?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (35\/200*10)\/(15\/15)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 197, 203, 207, 209?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -3 + 3 - 2*i**2 + (-i - 2*i + 4*i)*(2*i - 3*i + 2*i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.4 - -0.6. Let c = 12 - l. Let j = c + -11.1. Sort 3, j, 2\/3 in increasing order.\nAnswer: j, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 181 minutes after 1:47 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -17*o**2 + 2*o + 3. Let a be n(-1). Let k(s) = -s**3 - 17*s**2 - 13*s + 53. Let t be k(a). Solve 10 = -t*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 7) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = 2*g - 58, g - 6*g - 4*r + 141 = 0. Let i = 199 + 76. What is the highest common divisor of i and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -342288 = -8125*z - 6137*z for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (1 + (-303)\/(-12))\/(-3) and (-21)\/(-14) + 39\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 153\/(-136)*-8*25\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = s**3 - 4*s**2 + s + 3*s**2 - 4*s**2 + 4*s. Determine r(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((sqrt(72) + (1*sqrt(72) - sqrt(72) - sqrt(72)))**2 + 1 + sqrt(200) - (-3 + sqrt(40)\/sqrt(5) - (-3 + -2*sqrt(8))**2)).\nAnswer: -128*sqrt(2) - 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kbb when three letters picked without replacement from {u: 3, x: 5, k: 3, i: 2, b: 3}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3*k*u**3 - 3*k*u**2 + 95*k + 297*u**3 + u wrt u?\nAnswer: 18*k + 1782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 41948 is divided by 10465.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 18*(-34)\/12*-3 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = 2*a + 26, 5*a + h + 53 = -0*h. Let q be 0 + a*3\/(-6). Suppose -q*v + 4 = -2*d - 44, 25 = 3*v - 5*d. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 33\/5 of a milligram in micrograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 0 != -1\/92644255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) 205\/6 (c) -2\/3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 175 minutes after 7:37 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1275.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 710 minutes after 9:21 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 32885 is divided by 77?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 2*a**3 - a + 2. Suppose 3*n + 3 = -3*b, -4*b + 4*n + 37 - 9 = 0. Suppose 0 = o + b*o - 120. Calculate the remainder when o is divided by w(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 4 (b) 9 (c) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:55 PM and 8:32 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 118 a factor of 283521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 341 minutes before 8:33 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v be -1 + -1 - (-52)\/13. What is the remainder when v - 3\/(-3) - -19 is divided by ((-3)\/2)\/((-2)\/16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(1\/6)\/(s**(-2\/9)*s))\/(s**6*s**(-1\/2))*((s*(s\/(s**(-4)\/s))\/s)\/s*s**(-2\/15)\/s)\/(s**(-5\/4)\/(s*s**(-3))) assuming s is positive.\nAnswer: s**(-539\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*h - 5*q - 136, -2*q + 6*q + 8 = 0. Suppose 2*y = 55 + h. Let x = -9 + 24. What is the remainder when y is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 17752280 divided by 20\nAnswer: 887614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3389.027 - -3389. Which is smaller: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -1290 (base 10) to base 2\nAnswer: -10100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*sqrt(1053) + -3 + 0.\nAnswer: -27*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -84757, -169299, -253853, -338425, -423021?\nAnswer: -507647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 24*y - 115. Let b be m(5). Suppose -2*z + v - 3786 = 4503, 5*z - b*v + 20715 = 0. Round z to the nearest 100.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = t**3 - t + 2. Let s be b(2). Suppose -n - 5*h + 30 = s, -2*n = 5*h - 34. What is the remainder when 35 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zi when two letters picked without replacement from rizxzto?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = 6480 - 497. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 3, r: 5, n: 3}. What is prob of sequence rnz?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 394 minutes after 3:04 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z + 55*w = -2*z + 68*w - 81, 0 = 3*w - 18 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s - 4 = -3*h, -3*s + 21*h - 6 = 22*h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 3 v when four letters picked without replacement from {u: 3, i: 3, k: 1, v: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4*v + v - 4*v)*(5*v - 3*v - 9*v) + ((-4*v - 2*v + 3*v)*(-1 + 0 - 1) - v + 2*v + 2*v)*(1 - 2*v - 1) to x + y*v + l*v**2 and give l.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 4*k + d - 12, 4*k + 5*d - 41 = 0. Suppose 0 = -2*v + 8 + k. Suppose 0 = 3*b + 2*g - v*g - 54, 4*b - 5*g = 72. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 81344044.\nAnswer: 2, 103, 179, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = -j - j. Suppose -j = -y + 4*y. Let n = 8 + y. Solve -4 = -2*x, 0*z - n = 2*z - 4*x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 46340 (base 7) to base 12\nAnswer: 6a25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 74, 131, 232, 383, 590, 859, 1196, 1607?\n\"Answer: n**3 + 16*n**2 + 2*n + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*m + 21 = -3*s - 58, -7*s - 279 = 5*m - 178 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 2*n**2 + 9*n - 20. Let w be y(2). Is 5*(116466\/30 + w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 31718 = 164*o + 45166 for o.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -37\/236 and -81\/11830348?\nAnswer: 697990532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -974.9349046 rounded to 2 dps?\nAnswer: -974.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 681114.\nAnswer: 2, 3, 7, 16217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 886*j. Let b(y) = 5930*y**2 + 3. What is b(z(o))?\nAnswer: 4655026280*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.0335 and 0.2.\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16013286*g**2 - 16013332*g**2 + 32026573*g**2.\nAnswer: -45*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (12\/(324\/45))\/(-1)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 213526800 and 5760.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 2661.837 nanograms?\nAnswer: 0.000000000002661837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 14*d**2. Let c(u) = 1543*u**2 + 4*u - 12. Calculate c(l(k)).\nAnswer: 302428*k**4 + 56*k**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mmmmkikmik. Give prob of sequence km.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 36517102 (base 8) to base 10\nAnswer: 8035906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 31\/56 and 37\/598815.\nAnswer: 4790520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2.432 + 2.432. Which is the nearest to 0? (a) s (b) 1\/20 (c) -1\/36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 545, 542, 539, 536, 533, 530?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 2352876036?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -1 - 2*n**2 + 3*n**2 + 8*n - 2*n**2. Let p be l(5). Solve 2 - p = 4*a, -3*h = -3*a - 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*h**3*w**2 - 128*h**3*w - 12*h**2 - 39*h*w**2 wrt h?\nAnswer: 12*w**2 - 768*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1)\/(-5) - (-56)\/(-100)*-5. Let l be (-34)\/(-10) - 6\/15. Let p(q) = -q**3 + 4*q**2 - q. Let z be p(l). Solve 5*m = i + z + 7, 4*i + 6 = -b*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q**5 + 36*q**4 - 6508*q**3 + 103824*q**2 - 522262*q + 680652 = 0. What is q?\nAnswer: -73, 2, 7, 9, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i**2 + 243*i + 4439. Determine c(-20).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1 - 4954)*8\/((-200)\/95). Let j(u) = -2637*u**2 + 6*u. Let d be j(7). Let p = r - d. Round p to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -27, -17, 7, 51, 121, 223, 363, 547?\n\"Answer: k**3 + k**2 - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (-1 - 10) + (29 - 5) + -27\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 8 or -23919314?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -268 = -593*o + 597*o. Let a(m) = -m**2 - 63*m + 273. What is a(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:16 PM and 2:32 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) be the first derivative of u**4 - u**3\/3 + u - 14. Let h be c(1). Let v be (-2)\/8 - h\/(-16). Solve -4*a + 15 + 1 = v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 17.474238 nanoseconds?\nAnswer: 0.000000000000202248125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -k**3 + 14*k**2 - 34*k + 5. Let q be j(11). Let n be 1 + 1\/q + (-145)\/150. What is the third biggest value in n, 1\/7, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((3\/((-45)\/(-2)))\/(2\/6))\/(223\/8920)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -775, -3098, -6971, -12394, -19367?\nAnswer: -27890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5546.7 - -0.4.\nAnswer: 5547.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -48*f**3 - 85*f**3 - 86*f**3 + 214*f**3.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*j**2 - 66*j**2 - 85*j**2.\nAnswer: -144*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 + 0 + 5)*(-2 + d + 2)*(-2*d**3 + 4*d**3 - 4*d**3) to the form l*d + a + i*d**2 + q*d**3 + j*d**4 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 0.4 - 204389502.4199\nAnswer: -204389502.0199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-34)\/(-14) + -3 + 3 + (3 - 6)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2 and 168086?\nAnswer: 168086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -m**3 + 10572*m**2 - 27962928*m + 111682624.\nAnswer: -(m - 5284)**2*(m - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = -57 - -57.5. Let v be 3\/(-4) + 1\/4. Which is the smallest value? (a) k (b) 0.8 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -216*z = 53203 - 24503 - 46628 for z.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:37 PM and 1:21 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 2216, 2221, 2226?\n\"Answer: 5*d + 2211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*l**2 + 2*l**2 + 3*l**2.\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0*(-9)\/81*-3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2\/(-2)*5*-3. Suppose 3*s = o + 135. Suppose -4*f = -506 - s. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2.55 + 0.18. Let w = o - 2.73. Let t = 0.43 - 0.03. What is the closest to w in t, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -2*o**2 + 84*o - 74. Let d be y(41). What is the remainder when ((-12)\/d - -3) + (-6465)\/(-30) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3.2 + -23.2. Which is the second biggest value? (a) 4 (b) i (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -119 + 599. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -5, 101, 279, 529?\n\"Answer: 36*g**2 - 2*g - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 922, 1839, 2744, 3637, 4518, 5387?\n\"Answer: -6*f**2 + 935*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -3 = 5*i + 2*f, -i + 14*f = 17*f - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 1246 = 4*k, 7*y - 2*k + 248 = 8*y. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -16 - -19. Let r(o) = -3*o + 2*o**3 + 4*o**2 - j*o**3 + 10 - 3 + 4*o**3. Is r(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/7? (a) 2\/17 (b) 5 (c) -4875\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out 34.5312 + 210.97.\nAnswer: 245.5012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eheh when four letters picked without replacement from hheee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - 1 = -3*c, -4*g = -3*c - 3*g + 7. Let b = c - -1. What is the closest to 2 in 0, b, 14?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 32270 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3362\/31821 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 3 z when four letters picked without replacement from {k: 4, z: 3, r: 2}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 3*p**2 + 7*p + 5. Let q(c) = 16*c**2 + 35*c + 25. Let i(o) = 11*a(o) - 2*q(o). Suppose 173 = -9*m - 7. Let w be 4 + -2 - (-120)\/m. Calculate i(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qabxxqqxtxx. Give prob of sequence xt.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -8 - 16 = 6*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 605360?\nAnswer: 2, 5, 7, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 5*k**3 - 3*k**2 - 12*k + 19. Does 3 divide y(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14764 is divided by 162?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.9 + -13198.\nAnswer: -13197.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is eleven quarters of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:14 PM and 10:48 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.6405894 - 0.60059. Let q = 0.04 - p. What is q rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*c**3 + 89 - 89 + 116*c**3.\nAnswer: 106*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2748 + 447. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {k: 2, j: 7, p: 1}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -4 (b) -2\/3 (c) 0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**9*f**(-2\/31))**18*(f**(-3\/5)*f**5)**(3\/7) assuming f is positive.\nAnswer: f**(176556\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -42 - 127599526642?\nAnswer: -127599526684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 421467 is divided by 4633.\nAnswer: 4497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4 + 4.1. Let q = 4\/3 + -29\/24. Which is the smallest value? (a) 0 (b) q (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + 1 - (-6 - -11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 7 = -3*w, -w - w + 5*d - 9 = 0. Let o be (-4)\/w*(-65)\/(-26). Suppose 0 = f - 2*f + 2. Sort f, o, -8 in increasing order.\nAnswer: -8, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 98 = z + 13*z. Sort 1, z, 0, -2 in increasing order.\nAnswer: -2, 0, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.3 * -1772.53\nAnswer: -531.759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 48 and 223054\/156 - 2\/1 - (-1)\/6.\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 74*z + 2072. Let g be y(-28). Factor 0*k + g*k**3 - 3\/7 - 3\/7*k**4 + 6\/7*k**2.\nAnswer: -3*(k - 1)**2*(k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 581 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lkykl. What is prob of picking 1 k and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7346 rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 456653579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: What are the prime factors of 252971?\nAnswer: 252971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 522314554 a multiple of 2579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 0.25 < -378?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -13\/60 and 89\/1008?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) be the second derivative of -z**4\/6 - 9*z**2\/2 - 409*z. Let n(w) = -3*w**2 - 10. Suppose -f - 6 - 6 = -2*q, -f - 4*q + 12 = 0. Give f*a(c) + 3*n(c).\nAnswer: -c**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -8812*i + 225433 = -477*i + 875563 for i.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 115\/24912 and -38\/3?\nAnswer: 24912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(3\/23)*k*k*k**(-40))\/(k\/(k**(1\/9)*k*k)*k\/k**(-9)) assuming k is positive.\nAnswer: k**(-9679\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = 598 + -467.8. Let a = c + -130.22121. What is a rounded to 3 dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2463610 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b = -940 + 944. Put b, -215, -3 in descending order.\nAnswer: b, -3, -215","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -9969 + 119537\/12. Calculate the common denominator of 121\/48 and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -386 + 1226.499?\nAnswer: 840.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 103 + 10?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j be -13 + 3 + 7 - -360. What is the highest common divisor of j and 867?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: What is -3989 (base 15) in base 14?\nAnswer: -4691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be (12\/9)\/((-2)\/21). Let n = -11 - a. Suppose -n = 3*x - 6. Solve -l - x = -0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 * 1152783\nAnswer: 2305566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(243)*2 - sqrt(27)*3)**2 - ((sqrt(12))**2 + 1 - (sqrt(27) + 1)**2).\nAnswer: 6*sqrt(3) + 258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 42*b - 514. Calculate m(18).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 17 + -356\/21. Let u(b) = b**3 + 15*b**2 + 16*b + 27. Let s = 50 + -64. Let p be u(s). Which is smaller: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -181 + 188. Suppose -x = q - 20. Let i(u) = 3*u**2 - 3*u + 5. Let p be i(5). Calculate the highest common factor of q and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 70709270687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 2*i + 17 = -2*b, 4*b - 5*i + 13 = 0. Is b\/(14\/8) - -255 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*k + 3*k + k + 7*k**4 - 1801*k**3 - 2 - k**2 + 1794*k**3 to y*k**2 + p*k + v*k**4 + u + g*k**3 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 98*m**2 + 184*m - 1946. List the prime factors of j(10).\nAnswer: 2, 37, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -43 + 48. Which is the third smallest value? (a) -0.5 (b) 0.43 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -30 and 311147853.\nAnswer: 311147823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = 8782 - 8782. Let o(r) be the third derivative of 0*r + y + 0*r**4 - 1\/180*r**5 + 0*r**3 + 14*r**2. Let o(v) = 0. Calculate v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 12*f**3 + 483*f**2 + 2574*f + 3699.\nAnswer: 3*(f + 3)**2*(4*f + 137)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 58*l - 2695 + 2985 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 2, e: 1, q: 1, a: 2, s: 1, m: 2}. What is prob of picking 1 q and 1 e?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = 21 - 41. Let b be (-125)\/t + 1\/(-4). What is the remainder when 24\/(15\/b - 1) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v + 18 + 18 = 0. Let a = v + 25. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -3*q**3 - 4*q**3 + 6*q**3. Let y be c(-1). Suppose 3*t = 4*r - 5, 0 = 4*r + y - 21. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jjjjjjjjtjjjjtjjtjjj. What is prob of picking 3 j and 1 t?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 148156 is divided by 823.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 53725 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1438688*d + d**3 + 1438688*d - 5*d**2 + 5*d**2.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = 13 + -9. Let v be (-2 - -17) + -1 + 1. Suppose -q = -3*a + v, -3*a = 2*a + x*q - 8. Solve -a*d + d = -15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 + 72*h**2 - 2 - 1.\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 39 divide 989001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -l + 5. Let p be v(5). Suppose m - 3 + 0 = p. Let y = 256 - 246. Solve -3*u - 5*s + 25 = 0, m*s - 1 - y = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 331 - 236. Let w be -2 - ((-185)\/35 - (-6)\/21). Let a be (5 + (-74)\/(-8))\/(w\/8). Calculate the highest common divisor of s and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve b - x + 1 = 0, 11*b = -18069*x + 18071*x - 20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -981 + 2935. Suppose 2556 + r = -41*z. Which is smaller: -108 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -31, 22 in increasing order.\nAnswer: -31, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-115*j**2 - 2*j - 101*j**2 + 220*j**2 + 4 + (1 + 0 + 0)*(1 - 1 + 3*j**2))*(8*j - 4*j**3 - 8*j).\nAnswer: -28*j**5 + 8*j**4 - 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 597 minutes after 3:39 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -92302.0629 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -101\/1624 and -1\/42?\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*g**3 - 4846720*g**2 + 19386832*g - 19386816.\nAnswer: 4*(g - 1211676)*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u = u - 3. Let m be 1\/u + (-15)\/(-9). Solve -7*r + m*r + 2*w = 18, -16 = -4*w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 10128\/5 - 76051162\/37545. Let c = o - -743423\/120144. Let z = 1\/5634 + 245075\/22536. Find the common denominator of z and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2208 a factor of 48344445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange f - 3*f**4 - 379*f**3 - 335*f**2 - 3*f + 112*f**2 + 115*f**2 + 110*f**2 to r*f + y + s*f**3 + t*f**4 + u*f**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -312520740 + -4?\nAnswer: -312520744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 2671, 2669, 2667, 2665, 2663, 2661?\n\"Answer: -2*j + 2673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -77 - -29 - (23 - 38)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5510 + 74 + 6329 = -627*f for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in b**2 + 2*b**2 + 3 + 25*b - 984*b + 959*b.\nAnswer: 3*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 17*s**2 + 22*s + 3. Let d be (11\/4 - (-72)\/(-96)) + -8. What are the prime factors of p(d)?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8339 + 77189 = -5*s. What is s rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 66 - 0.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -496394*f*z - 2*z - 109260 with respect to f.\nAnswer: -496394*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -2458 at most -4917\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(-6)*-10*6669\/1235.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -38 + 22. Let y = 20 + s. What is the second biggest value in 1\/2, -2\/3, y, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1053733349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*t - 11 + 23. Suppose -3*x = -0*m + 4*m + 10, 0 = -t*x - 3*m - 12. Is x at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 274702 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine a so that -a**3 - 2*a**2 + 4*a + 8 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -n**3 - 7*n**2 + 9*n + 11. Let x be u(-8). Let s be 5 - (-2 + (4 - x)). Suppose -p = 4*h - 93, -s*p - 19 = -2*h - p. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (68\/(-24)*4)\/((-17)\/(-51)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = -12 + 8. Let k = 3 + 3.5. Let y = k + -7. Which is the second smallest value? (a) 2\/11 (b) i (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*y - m = -1, -19*y - 4*m - 12 = -15*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -13955901.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11022220022 - 202?\nAnswer: -11022221001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand -h + 0*h + 4*h + (3*h + 2*h - 6*h)*(1 + 4 - 4) + h + 3*h - 5*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(684)\/sqrt(192) + sqrt(57))\/(sqrt(6)\/(-4*sqrt(2))).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 87729981?\nAnswer: 3, 23, 1271449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ddtdddddddtdd. What is prob of sequence ddd?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 2*q + 75. Let t be f(-35). Sort t, -2, -3, 0.3 in ascending order.\nAnswer: -3, -2, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2081 + 3600. What are the prime factors of q?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 140 and 1080.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2439*n + 1540 wrt n.\nAnswer: 2439","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j be 6\/((-1)\/2 - (-18)\/60). Let n be (j\/27)\/5 - (-1)\/(-9). What is the closest to -0.1 in 21, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/(-2)*6*(-5)\/105?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h - 2*x = -2, -3*h - 2*x + 8 = 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-4)\/(-18) + (-4)\/18. Let b = -2 - o. Sort -1, b, 4 in descending order.\nAnswer: 4, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0 + 18. Calculate the remainder when z is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12 + (49 - 51 - (2 - -2))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -6, -0.8, -12.5, -3, -1.6 in ascending order.\nAnswer: -12.5, -6, -3, -1.6, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.041762005 and -5.\nAnswer: -4.958237995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = z - 3. Let w be t(8). Let m be w - (1 - (-2 - 0)). Suppose 4*j - 16 = 0, j + 2*j - 16 = 2*f. Put f, 5, m in descending order.\nAnswer: 5, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 196217 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 45347 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-76)\/2*(45\/(-9))\/10*-1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 132 minutes before 1:52 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 3*z - 4 = 12, -z + 42 = -4*q. Let a = q + 14. Solve 0 = 4*y - 23 + a for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 193 - 150. Suppose -3*d + 3*s = -3, -5*s + 16 = 1. Calculate the least common multiple of x and d.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 101\/182 and 48\/204055033?\nAnswer: 408110066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-p - p + 4*p)*(19*p - 46*p + 50*p**2 + 25*p).\nAnswer: 100*p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q be 4 + 6 + (-2 - 2). Solve 3*s = q - 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 33.786164 - 11.78614. Let h = -165 - -143. Let p = h + z. What is p rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1 - -4. Let s(c) = 7*c - 97. Let z be s(14). Let i = f + z. What is the remainder when 7 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 55\/4 of a kilogram in grams?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3924 + 3924 + 85*h.\nAnswer: 85*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 7*q. Let g(y) = 4*y. Let k(j) = -10*g(j) + 6*l(j). Let t(n) = -12*n - 16. Let w(p) = -4*p - 6. Let c(d) = -3*t(d) + 8*w(d). Calculate k(c(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + sqrt(891)*2 + sqrt(891) + sqrt(891) + 3 + (-2*sqrt(891)*3*5)**2.\nAnswer: 36*sqrt(11) + 801908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 7*s + 0*s = 0. Let q(n) = n. Let i be q(5). Which is the closest to s? (a) i (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9034471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = 5*p - 26. Let q(s) = -9*s + 72. Let r(j) = -8*j + 54. Let k(a) = 3*q(a) - 4*r(a). Determine c(k(v)).\nAnswer: 25*v - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 7*d**2 + 13*d + 26. What is the hundreds digit of q(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f = -5*v + 4*v + 29049, -2*v = -f - 58116. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (160\/(-1344)*12)\/((-20)\/5).\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -66549, -133073, -199597, -266121?\n\"Answer: -66524*l - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(175)\/(sqrt(30)\/sqrt(6)*-6))\/(sqrt(15)\/(sqrt(84)\/sqrt(7))).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3 - -13. Let k(c) = 12*c - 108. What is the lowest common multiple of k(10) and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 3 - 3 = 0. Suppose -139 = -j + w*c, -c - 303 = -2*j - 0*c. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 + 11 = 2*u + n, -4*n = u + 3. Suppose 0*h - h = -6. What is the third derivative of 17*k**2 - h*k**2 + 7*k**4 - u*k**2 wrt k?\nAnswer: 168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 476171, 476147, 476123, 476099, 476075?\nAnswer: 476051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -27308400 divided by 21?\nAnswer: -1300400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 404546 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2935126 to the nearest integer?\nAnswer: 1713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**2\/g)**(-5\/8)*g\/(g*(g*g**5)\/g)*g**(-3\/2) assuming g is positive.\nAnswer: g**(-57\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-663832)\/4992 + 133)*600?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) be the third derivative of -a**4\/12 - 3*a**3\/2 - 20*a**2 - 2*a. What is g(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r + 2*w - 72 = -0*w, -2*r + 28 = w. Suppose 0 = -0*j - 2*j - 8, k + 4*j = -7. Let c = -3 + k. What is the remainder when r is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -130*h + 56 - 706 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*o**4 - o - 11*o**3 - 3*o**3 + 13*o**3 + 2 to the form v*o**4 + t*o + a*o**2 + w + j*o**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - 8 = -3*g + g, 0 = -4*s. Let o(j) = j**2 + 4. Let x be o(0). Suppose -x*u + 0*u + 8 = 0. Solve -3*i - 16 = -7*i + u*d, g*d = i - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 88\/((-10)\/4*(-28)\/35). Let z = -42 + x. Suppose -2*y + 19 = -2*b - 3*b, -4*y = z*b - 26. Solve 4*w + 9 = -y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cxfzcgggfcgzcg. Give prob of picking 1 z and 1 c.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 5039279 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*n + 5*n - 39 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = 6*l**2. Let v(z) be the first derivative of -7*z**5\/60 + 23*z**2\/2 - 58. Let q(c) be the second derivative of v(c). Determine o(q(h)).\nAnswer: 294*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -165*c**2 + c. Let y(q) be the second derivative of q**3\/6 - q - 41. What is y(l(a))?\nAnswer: -165*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = 141\/35 - 18\/5. Let z = t + 1\/14. Which is the nearest to 1? (a) -5 (b) z (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1215\/(-6))\/15 - (-60)\/24?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 1.62994649 to 4 decimal places.\nAnswer: 1.6299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2371705 - -4?\nAnswer: -2371701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -37 + (-22 - (-53 + 24)) + -13 + 1.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = 7 + -5. Let g = x - -8. Let q(s) = s**2 - 7*s - 6. Does 12 divide q(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 7, t: 2, i: 7}. What is prob of sequence ii?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 688355040?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = 1492*h**2 + 307*h - 310. What is l(1)?\nAnswer: 1489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*(sqrt(65) + sqrt(65)*-1))\/sqrt(5) + -2)**2 + -2 - -3*2*(sqrt(468) + 2 + (sqrt(468)*1)**2).\nAnswer: 36*sqrt(13) + 2822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1802 + -1980. What is the nearest to -0.5 in -0.2, x, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3b (base 12) in base 8?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -23*h*m**2*p - 2*h*m*p**2 + 17*h*p**2 + 2*m**2*p**2 - 179063*m**2*p + 3*m*p + 5*m + 4611*p**2 + 2 wrt m?\nAnswer: -46*h*p + 4*p**2 - 358126*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = -0*m - 418. Suppose -2*r - 613 = -r - 648. What is the remainder when m is divided by r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -42 - -43. Suppose -5*z = -4*g + 4, -15 = g + 3*z + w. What is the units digit of (-235)\/(-5) + g\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of a - 15324*a**2 - 95 - a + 15374*a**2 wrt a.\nAnswer: 100*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3979193 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 1 q when two letters picked without replacement from {b: 3, q: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1807841977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1222820.\nAnswer: 2, 5, 61141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 37\/428 and 45\/383332?\nAnswer: 41016524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i be (72\/21 + -1 + -3)*-7. Solve 18 = i*j - 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1, -2, -1, 393, -6246, 3, 1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w be (4\/(-3) + 2)*6. Let f = 6 - 1. Suppose -2*l - f*d + 2 = -15, 0 = -5*l - 3*d + 14. Solve -w*z - s = l, 3*z + 3*s + 0*s - 6 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (1\/5)\/((-2)\/6). Let g = -11934\/5 + 2387. Let d = -0.39 - -0.49. Sort d, g, o in ascending order.\nAnswer: o, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 47 + 84. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = l - 6. Let s be r(6). Let z = 69\/5 + -749\/55. What is o in z*o**2 - 2\/11*o + s = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -i + 3*g + 7 = 0, 7*i - 2*i + 4*g + 3 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 353322 and 15552.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -3302643, -3302641, -3302639?\n\"Answer: 2*r - 3302645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1672\/9 - -186. Let v = -4.925 - 0.075. What is the biggest value in -1\/4, v, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = b**3 + 5*b**2 + 3. Let v be p(-5). Let x = 6 - 8. Sort v, -0.2, x in descending order.\nAnswer: v, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 63.3 - 60. Let u = j + -2.9. Which is the smallest value? (a) 4 (b) u (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -j - 2. Let p be c(6). Let a be 4\/p*10 - 11. Let w(l) = -28*l**2 - 10*l + 6*l**2 + 0*l. Let i(d) = 7*d**2 + 3*d. Calculate a*i(g) - 5*w(g).\nAnswer: -2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((a*a*a*a**(-2\/11)\/a)\/(a*a\/(a\/(a**6*a*a*a)*a)))\/(a*a**2\/a*a*a**9))**(-1\/9))**(-2\/37) assuming a is positive.\nAnswer: a**(-422\/3663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z + 75 = -5*z. Let t be (144\/z)\/((-6)\/20). Suppose 2*v - t = 3*k, -5*v - 2*k + 20 = -22. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 71091 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = -54 + 54. Let l(f) be the third derivative of 2\/3*f**3 + z*f**4 + 4*f**2 - 1\/15*f**5 + 0*f + 0. What is the derivative of l(u) wrt u?\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) be the first derivative of 10*w**3\/3 + 11*w**2\/2 - 11*w - 535. Let c(t) = t**2 + t - 1. Give 22*c(n) - 2*v(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 101 = -25. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -64 + 76. Find the second derivative of -h*t - t - 10*t + 9*t - 19*t**4 wrt t.\nAnswer: -228*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 10\/3 in 304, 19, -0.256, -0.4?\nAnswer: -0.256","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out 911592497 + -3854.\nAnswer: 911588643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1278545.7 rounded to the nearest one thousand?\nAnswer: 1279000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = h**2 + 15*h - 53. Is w(28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t, 1 a, and 1 p when three letters picked without replacement from rptptapptpprvtpa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -10\/179?\nAnswer: -10\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*y - 2*y + y)*((y - 4*y + 2*y)*(1 - y - 1) - 5*y**2 + 0*y**2 + y**2).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**(-1\/2)\/d**2*(d\/(d\/(d**3\/d)))\/((d*d\/d**2)\/d) assuming d is positive.\nAnswer: sqrt(d)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is seventeen halves of a decade in years?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dndn when four letters picked without replacement from {d: 7, n: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*b**5 + 1200*b**4 - 4752*b**3 + 4736*b**2.\nAnswer: -4*b**2*(b - 296)*(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from vvrrrr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1932 and 1423608?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 5249809452?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*b**2 - 7680*b + 15344.\nAnswer: 4*(b - 1918)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = f**3 - 4*f**2 + 6. Let u be k(4). Factor u*l - 2*l**2 + 6*l**2 + 9 - 3*l**2 + 0*l**2.\nAnswer: (l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -23*m*y**4 - 34*m*y**3 - 154*m*y + y**2 - 26*y wrt y?\nAnswer: -276*m*y**2 - 204*m*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 22 - 9*((-184)\/207)\/(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -66 + -65643?\nAnswer: -66042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*j - 4 = 4*m - 8, j - 35*m - 2 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 30 (base 5) to base 9\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = o**3. Let z be d(0). Suppose 21 = i + 1. Suppose 3*m = -j + 7 + 3, z = -5*j + i. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/(u*u*((u\/(u*u*u\/u**(-8)))\/u)\/u))\/(u**7\/u*u)*u**9\/(u*u**(-3\/5)*u) assuming u is positive.\nAnswer: u**(58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(6*((sqrt(832) + 0 + -3 - 4*-3*sqrt(832)) + 1))**2 + 0.\nAnswer: -74880*sqrt(13) + 25310160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 10781316 and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 377*l**3 + 10*l**2 + 2188*l - 3 wrt l?\nAnswer: 2262*l + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1356\/(-34) + 93420\/1836 + -51?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1241*y - 5681 = 994*y for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) be the second derivative of -i**3\/3 + 49*i - 2. Let a(h) = -3*h**2 + 18*h. Give w(a(d)).\nAnswer: 6*d**2 - 36*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = -11 - -2. What is the closest to 10 in -3, -1\/9, u?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -17 - -23. Let x be -2*(-3)\/12*4\/q. Put 0.2, x, -4 in increasing order.\nAnswer: -4, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -10239 + 10228. Sort 4, -45, w, 5 in descending order.\nAnswer: 5, 4, w, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1557 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2446599927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -469 + 502*n + 469 + 1462*n as c + g*n and give g.\nAnswer: 1964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.0737*-64.\nAnswer: -4.7168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 93064115929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 31*v + 126*v - 8*v + 59*v + 5 - 3.\nAnswer: 208*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 3.7402935 to 1 dp.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 108180 = -3*u + 6*u, -u = 3*o - 36048. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -145*x**2. Let u(c) = 175349*c. What is u(y(b))?\nAnswer: -25425605*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = 11 - 8. Suppose -135 = -0*f - g*f. Calculate the remainder when f is divided by (1 - 2) + (-68)\/(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 31 = -3*g. What is the remainder when g is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3 + 37 - 11*k + 9 + 24 as x*k + r and give r.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1110110 + -111?\nAnswer: -1110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand -34*b**3 + b + 39*b**3 - 22*b**3 - 4 + (44 - 44 + 2*b)*(-4*b**2 + 3*b**2 + b - 3*b).\nAnswer: -19*b**3 - 4*b**2 + b - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -6832 divided by 3\nAnswer: -6832\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15\/(-40)*2*(2 + 40\/220).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (2 + ((-3*sqrt(833) - sqrt(833)) + sqrt(833))*1)**2.\nAnswer: -84*sqrt(17) + 7496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 224222 (base 7) in base 4?\nAnswer: 21233132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*x**2\/9 - 2*x\/9.\nAnswer: -x*(5*x + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*o = 2*o + 12. Suppose -34 = 5*r - 44. Which is the second smallest value? (a) r (b) o (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-4)\/(-14) + 65\/(-7). Let z = -5 - y. Let t = -0.1 + -0.3. What is the biggest value in z, -4, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3\/17? (a) -1 (b) -0.5 (c) -5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8\/(-20))\/((-11)\/(-1980)*-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be (3 + 64)*5\/(-5). Let r be w\/(-3)*3 - -1. Calculate the greatest common divisor of r and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 474, 473, 472?\n\"Answer: -y + 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.0962 or 202?\nAnswer: -0.0962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100101110001101100001011 + 0?\nAnswer: -100101110001101100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.03 + 0.43. Let g = -0.9587572 + -0.0412428. Let n be (2\/16)\/(2\/(-4)). Which is the smallest value? (a) i (b) n (c) 1\/6 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 127\/13104 and -139\/1092?\nAnswer: 13104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 n and 1 k when three letters picked without replacement from nkkkkkknkknkkkkk.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7437.\nAnswer: 3, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (6\/20)\/1*-5*(-28)\/(-210)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p + 5*p = 25. Suppose 0 = -16*t - 3*t + 50 + 7. Sort t, p, 2, -1 in ascending order.\nAnswer: -1, 2, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 3\/4 (b) 3 (c) 0.3 (d) 2\/7 (e) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = 323*q**2 - 6*q - 6. Let t(v) = 686*v**2 - 13*v - 13. Let i(s) = 13*a(s) - 6*t(s). Let y(d) = d - 7. What is y(i(j))?\nAnswer: 83*j**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w + 2*r - 5*r = -129, 3*r + 231 = -3*w. Are -71 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 421377.1 grams in nanograms?\nAnswer: 421377100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 30051*b**2 + 4*b**3 - 30051*b**2. Let d(n) = n**3 - 5*n**2 - 5*n - 5. Let x be d(6). Calculate z(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 13 + 12 = 0. Suppose -w + 2*s + 8 = 0, 2*w + n + 6 = -5*s. Let p = w + 2. Which is the second biggest value? (a) -1 (b) 3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19 minutes after 5:51 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = -45.086 - -0.086. What is the closest to w in 3, 2, -1\/4, 10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) 0.08 (b) 5 (c) 2\/2623\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -64 or -0.2016?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 5*o + 4. Let f(q) = 7*q + 6. Let k(r) = -5*f(r) + 8*m(r). What is k(-4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 273\/(-9) - (20 + -50)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 51066612 and 4552?\nAnswer: 2276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p - 2265 = 5*o, 0 = 5*o + 4*p + 1208 + 1092. Let r = -2275 - -1502. Let x = o - r. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -65*j**3 + 2*j**2 + 28*j + 25. Let o be q(-1). Calculate the highest common factor of 1152 and o.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/630 and 3\/14?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = -29\/144 - 1\/48. Let n = -40.22 - -40. Let v = 1.22 + n. What is the nearest to v in z, -0.1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d = -95 - 9. Let a = d - -31. Solve u - a*u = -16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 96 - -750. List the prime factors of i.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -w**2 + 4*w - 5. Let n(p) = 4*p**2 - 3*p - 2. Let l = 39 - 42. Let f be n(l). Let q = f - 39. What is r(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (1\/(-3)*846\/376)\/((-3)\/4). Calculate the highest common divisor of 1143 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 993*a + 938*a + 819*a + 702*a - 3795*a.\nAnswer: -343*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 2 + 3)*(2 + 16 - 2)*(-2*m**2 + 2*m**2 + 2*m**3).\nAnswer: 128*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -10487851, -10487869, -10487887, -10487905?\n\"Answer: -18*x - 10487833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 498\/(-415)*(-3)\/492*240\/(-12)\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/2, 3\/2, -106, 0.0278, -4 in descending order.\nAnswer: 3\/2, 0.0278, -1\/2, -4, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -146*j = -38*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) be the third derivative of -211*p**5\/20 - p**4\/6 - 13*p**3\/3 - 789*p**2 + 2. What is the second derivative of b(m) wrt m?\nAnswer: -1266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10 - 16 + 2*g**2 + 12 to v + p*g + k*g**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = -16 - -18. Let f(k) = 25*k**c - 50*k**2 + 26*k**2. Let v(b) = -17*b**2. What is v(f(x))?\nAnswer: -17*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -p + 1 + 5*p + 2*p.\nAnswer: 6*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 94289.72 litres in millilitres?\nAnswer: 94289720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -126 = -0*t - 9*t. Let r = 26 - t. What is the lowest common multiple of 14 and r?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 870 times 0.171?\nAnswer: 148.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1652277758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/(-18))\/((-1)\/(-15)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6 - 2. Let r be (20\/(-25))\/((-4)\/(-30)). Let o = r - -8. Solve o*i - u*i = 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 3 and -16.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -38951*c**4*m - 6939*m - 3 wrt c?\nAnswer: -155804*c**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -1 - 20*h + 4 + 3 + 22*h. Is 22 a factor of q(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 42636, 340855, 1150310, 2726619, 5325400, 9202271?\nAnswer: 14612850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = s**3 + 11*s**2 + 6*s - 4. Let l be p(-11). Let y = 16 - l. What is the remainder when y is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3064 - -3327. What is the remainder when t is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 6\/(-21) + 0 - (-1592)\/280 and (3\/(-2))\/((-6)\/(-62)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a + j = 958, 0*j = -4*a + j + 962. Let s = 6479 - 39017\/6. Find the common denominator of s and ((-6)\/(-9))\/(a\/1515).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n - 5 = -4*j - 37, 0 = -2*n - 5*j - 41 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3702 - 3704. What is the third biggest value in -10, -0.1, -4, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.26986 + 0.16986. Let n = 5 - 6.5. What is the nearest to d in 5, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 7*a. Let z be -6 + (2 + 1 - 0). Let v be -4*(3\/2)\/z. Let u(n) = 2 - 2*n**v + 2 - 4. Give u(t(w)).\nAnswer: -98*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 56*d + 30177 = 58*d, 0 = -8*p - d + 241536. What is the highest common divisor of 109 and p?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = n - 25. Calculate the highest common divisor of n and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 0 + -9222?\nAnswer: -9222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h = 6*h - 20. Let y(v) = v**2 - 3*v - 2. Let t be y(h). Let g be 6\/9 + t\/(-3). Sort -0.2, g, 0 in descending order.\nAnswer: 0, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 17 - 19. Let k be n\/2 + 2 + -1 + -30. Let a = 70 + k. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 5, -2\/9, -2\/5, -3\/14, -0.1, 0.3, -15\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 3*o - 20 + 104 - 23 - 26. Let v(y) = -2*y. Give v(m(d)).\nAnswer: -6*d - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = b**2 - 2*b + 2. Suppose -4*o + o + 30 = 0. What is the least common multiple of o and h(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11 + -1100111110011?\nAnswer: -1100111110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 137*c + 2. Let j(m) = 139*m + 2. Let p(t) = 4*b(t) - 5*j(t). Let u(y) = -2*y. Calculate u(p(d)).\nAnswer: 294*d + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7046 is divided by 293.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -11 + (10 + 1 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -3 * -2.9.\nAnswer: 8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18 - 8 - (14 + 16 - 14).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = p**3 - 2*p**2 + p + 7. Let s(n) = n**3 - 6*n**2 + 5*n + 2. Let t(h) = h**2 - h + 1. Let r(o) = -s(o) - 4*t(o). Calculate 6*i(d) + 7*r(d).\nAnswer: -d**3 + 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*h - 4*m = 27, 6*h = 4*h + m + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 181 minutes after 5:56 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 92997569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + b - 3)*(-6*b**2 + 3*b**2 + 2*b**2) - 2*b**2 - 2*b**3 + 2*b**2 + 489*b**2 + 2 - 489*b**2 - 441*b**3.\nAnswer: -444*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(1\/4))**(-3\/5)\/(i**1)**9 assuming i is positive.\nAnswer: i**(-183\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4386042 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1357 + 11*t - 2*t - 1280 + 5195 - 1274 - 1284.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 3*v**2 - 12*v + 3. Calculate n(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3000 is divided by 132?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -884*b + 711*b + 4671 = 0 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b - 4 = -0, -8 = -4*p - b. Let q(k) = 1 - p - 2*k - 4 + 3. Let l(i) = -i**2 - i. Let f(t) = 2*l(t) - q(t). What is the derivative of f(j) wrt j?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*z**2 + 0 + 0)*(-110*z**3 + 495*z**3 - 206*z**3).\nAnswer: -358*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -2*c. Let n(i) = -5*i - 1 - 3 - 5*i + i. Determine n(w(p)).\nAnswer: 18*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -512, -2312, -5318, -9530, -14948?\nAnswer: -21572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.2 - -0.23. Let m = 5.03 - y. Which is the biggest value? (a) m (b) -0.5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -p**2 - 3*p + 2. Let d be o(0). Find the first derivative of 128*i**2 + 19 - 237*i**2 + 120*i**d wrt i.\nAnswer: 22*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(-1\/3)*s**(1\/11)*(s*s\/(s*s\/s**(-2\/5)*s)*s*s)\/(s\/(s\/s**1)) assuming s is positive.\nAnswer: s**(-106\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose o = -0*o + 10. Suppose 0 = 5*t + d - 16, -4*d + 2*d = 8. Let s = t + -1. Solve o = i - s*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-23*v - 91*v - 101*v)*(3 - 3 - 2)*(-2 - 5 + 4) in the form t*v + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -5d3 - -42?\nAnswer: -591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -5*a**3 - 97*a**2 - 13*a - 4. Let o(k) = 17*k**3 + 291*k**2 + 40*k + 14. Let r(u) = -2*o(u) - 7*v(u). What is the second derivative of r(f) wrt f?\nAnswer: 6*f + 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*y - y = -455427. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + 4*(sqrt(17) + (sqrt(17) + 2)**2)*2 + sqrt(119)\/sqrt(28) + (((sqrt(17)*2 - sqrt(17)) + -3)**2 - sqrt(17)).\nAnswer: 67*sqrt(17)\/2 + 190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -v - 1. Let z be w(2). What is the third smallest value in z, 0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 53*c - 57*c + 8 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (-99)\/(-30)*(-49)\/2058*-140?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 75*t - 73*t - 10 = 0. Suppose -3*g - t*s - 32 = -228, 2*g + s = 119. Let q = 59 - g. Solve -i = -q + 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -3*t**2 + 3*t - 4. Let d be b(1). Is 4 a factor of (7\/39 + d\/(-26))*111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*c + 111438 = 3*r - 24*c, -2*r + 2*c + 74304 = 0. What are the prime factors of r?\nAnswer: 3, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vvwvvvvvtvvtmmwvwtwm. What is prob of sequence wv?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = -43503 + 43500. Let h be 6\/40 + 1\/4. What is the third biggest value in h, -4, t, -0.02?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3575 + -5319. Let b = q + 2546. What are the prime factors of b?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 657.5097g to tonnes.\nAnswer: 0.0006575097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9153 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(-3)*33\/(-22).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2 + (138 - -1) + -2. Let p be ((-9)\/(-6))\/(14\/(-700)). Let j = v + p. Is j a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -883, -1752, -2623, -3496?\n\"Answer: -w**2 - 866*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 3\/5 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -30*r**2 - 118165*r + 19695.\nAnswer: -5*(r + 3939)*(6*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.128 - -0.172. Let k = -0.8 - -1. Let n = 4 - 3. Which is the second biggest value? (a) k (b) x (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -6842238, -6842231, -6842214, -6842181, -6842126, -6842043, -6841926?\n\"Answer: n**3 - n**2 + 3*n - 6842241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 178*u**2 + 176*u**2 - 198*u - 351*u**2 to the form g*u + r*u**2 + q and give g.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j - 20 = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 175870 to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 65 + 68 = 0. Solve -3*l - 5*q = -14, 0 = x*l + q - 0 - 10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) be the first derivative of -w**4\/4 + 7*w**3\/3 - w**2\/2 + 9*w + 11625. Let l(d) = -d + 4. Let f be l(5). Let k = 8 + f. What is p(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -26, 2, -4 in increasing order.\nAnswer: -26, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/(-9)*2)\/((-112)\/(-24))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5879 times -1?\nAnswer: 0.5879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -49 (base 11) to base 15\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 74*a = 915 - 133 + 476 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 11*l**5 + 8593*l**3 + 48*l**2 + 1067*l + 1 wrt l.\nAnswer: 660*l**2 + 51558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-136)\/(-15300)*90 + 24\/(-20)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 5387, -215, 4 in descending order.\nAnswer: 5387, 4, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v, 1 c, and 1 r when four letters picked without replacement from crcvvcvrvrcrccr.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of -1 + 103 + (-10 - 18\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*t**5 - 160*t**4 - 1194*t**3 + 49924*t**2 + 50960*t = 0. Calculate t.\nAnswer: -65, -28, -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) be the first derivative of j**3\/3 + 411*j**2 + 8515*j + 2744. Differentiate a(o) with respect to o.\nAnswer: 2*o + 822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((z**(-14)*z)\/(z\/(z*z**(-4)*z*z)))**(-36))**(-2\/123))**(2\/81) assuming z is positive.\nAnswer: z**(-80\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 532 is divided by 170.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of b**5*d - 7279242*b**2*d + 36*b*d + 164601*d wrt b.\nAnswer: 20*b**3*d - 14558484*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) be the second derivative of -c**4\/3 - c**2 + 12*c. What is the derivative of y(h) wrt h?\nAnswer: -8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -45 + 11905?\nAnswer: 11870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 8*r - 22*r + 25*r + 88. Let p be o(-8). Let b be (-1 + 0 - 0) + 13. Solve -3*g + b = p, g = c + 2 - 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 648218 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 10*i**2 - 43*i + 249. Determine s(5).\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 95\/35507978 and -95\/1428786.\nAnswer: 958715406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -2 - 23?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1 - -6717868?\nAnswer: 6717870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-15)\/(-3) - ((-20)\/(-4) + -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4\/3 in -5, -3\/8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 219 a factor of 1187951922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 1, m: 1, g: 1, q: 4, h: 1}. What is prob of sequence mh?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 665 is divided by 78.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 2.03578 rounded to one dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m be 16*27*1\/(-2). Let n be m\/10 - (-8)\/(-20). Let h = 62 + n. What is the remainder when h is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 3 (b) 0.068 (c) -2 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 95 (base 13) in base 9?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be -165 - -176 - 3025\/4. Let d = a + 745. Let b = 1.23 - 1.3. What is the nearest to 0.2 in -2, b, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = y**2 - 352*y + 12155. Determine w(39).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, d: 1, e: 2}. What is prob of picking 1 d and 1 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*a + 58*a - 10*a = -715 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h be 53 + 1\/1*-3. Let p(f) = 16*f - 11. Let q be p(6). Let l = h + q. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 divided by -9\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(0 + sqrt(13) + -5)**2 - (-3*(-1 + sqrt(13)) + sqrt(13) - (sqrt(1300) + 0))**2.\nAnswer: -1919 + 82*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = m**3 + 148*m**2 - 142*m + 1359. What is d(-149)?\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -7545, -7642, -7739, -7836?\n\"Answer: -97*b - 7448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be 12 + -6 + -1*3. Suppose 13 = -j*i + 70. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.42 (c) -1 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 2\/21, -13, 0, 24 in descending order.\nAnswer: 24, 3, 2\/21, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(3 + -3 + sqrt(1539)*1*3 + 4 + 0)*-4)**2.\nAnswer: 124416*sqrt(19) + 7987392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.03*55.\nAnswer: 1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -29 + -1?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (-114*g - 9 + 19 - 10)*(2 - 2 - 2*g**2) as t*g + x*g**2 + d + p*g**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d be -2*(10\/(-9) + 1). Let y = -2 + 8. Let h = y + -6.3. What is the closest to -0.1 in d, h, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 5617 * 1.\nAnswer: 5617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -3\/5 (b) 2\/7 (c) -0.8 (d) 5 (e) 631\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -744*p = -731*p - 208 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -a - 11. Let x be k(-16). Solve -3*d = -x*i - 54 + 20, 3*i + 3*d = -6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = w**2 + 1. Let m be t(4). Suppose -3*c - 4 = m. Let n = 12 + c. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19 minutes after 4:23 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + -10.083097748?\nAnswer: -12.083097748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p be -5*((-28)\/10 - -2). Solve j = -4, p*j + 28 = -4*k - 0*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -6 by 40135.\nAnswer: -6\/40135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 37513325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 77\/243072 and -50\/17091?\nAnswer: 2187648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 69*q - 160 = 875. Let p(l) = 14 - 4*l + l + 4*l - 1 - q*l + l**2. Determine p(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*r + 0*r + 3*r)*(-120*r**3 - 2118*r**2 - 3*r + 2118*r**2).\nAnswer: 120*r**4 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*m + 1 + 8. Suppose 0 = v + m*v - 148. Suppose -1 = 4*c - v. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c - 2*n = -n - 18, -5*c - 4*n = -17. Let h be 10\/8*1\/c. Let q = -4.93 + -0.07. Put 1\/2, h, q in increasing order.\nAnswer: q, h, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ro when two letters picked without replacement from komorebm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -1.81 times -417\nAnswer: 754.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -7*d**3 - 1105*d**2 + 3312*d + 98. What is b(3)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1182 + 3?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**7\/((r*r**(1\/3))\/r)*(r\/(r*r**(-2\/19)\/r*r))\/r**9 assuming r is positive.\nAnswer: r**(-127\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -5 + 2 - 13*t + 9*t with respect to t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7840 = -u + 337. Let q = u - 4824. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 531 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -k. Let c(r) be the third derivative of -5*r**4\/24 + 18*r**2. Calculate o(c(h)).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c be 5\/4 - 1\/4. Solve 3 = -2*v - c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1, -663, 5\/2?\nAnswer: -663","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 118554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Are 1\/238415 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1.086 + 1.186. Which is the nearest to 0.6? (a) -0.4 (b) s (c) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 127 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -2 - (-10 - (4 - (-3 - -10)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -8396607*s - 6928882 wrt s?\nAnswer: -8396607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 625 - 638 - (1 + 1) - (15 - 2).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 35272586?\nAnswer: 2, 17, 727, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = 116.1 - 121.1. Let b = -15 + 15. What is the smallest value in b, -18, a, -4\/5?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(-2\/13)*l*l**(-1\/9)\/l)**39)**(-2\/85) assuming l is positive.\nAnswer: l**(62\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -0.92 at most as big as -176592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + 3*p + 16 = -11, 0 = -5*d - 2*p - 39. Let u be (2 + d\/3)\/((-31)\/279). Solve -s = -k - u - 0, -2*k - 4*s = -12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(-1\/2)*m*m*m**15)\/(m*m*m**(-1\/25)*(m*(m\/(m*m\/(m\/(m**(-5\/7)\/m))))\/m)\/m))**(2\/47) assuming m is positive.\nAnswer: m**(4839\/8225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -251345*f**3 - 16*f - 370117131 wrt f.\nAnswer: -754035*f**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -b872 (base 13) to base 12\nAnswer: -129a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 8 - 5 - ((0 - 0) + -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:51 PM and 11:39 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*p - 36 = 16*p. Sort p, 0, 4, 9 in descending order.\nAnswer: 9, 4, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*d - 2*d**2 + 5*d + (0*d - 9*d - d)*(5 + 4*d - 5) - 3*d**2 - d**2 + 5*d**2 + (2*d**2 + 4 - 4)*(-3 + 0 + 1).\nAnswer: -45*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.1 (b) 4\/9 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -2021*r**2 + 84880*r + 84.\nAnswer: -(r - 42)*(2021*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s - 9389 + 9359 = 0 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f be 0 + -3 - 12 - -3. Let a be 30\/8*(-16)\/f. Find the third derivative of h**2 + h**2 + 5*h**6 - a*h**2 - 2*h**2 wrt h.\nAnswer: 600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Round -0.0000913729387 to 6 dps.\nAnswer: -0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 20\/11 (b) -2 (c) 20508\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -15*n**2 + 3*n - 2. Determine i(2).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 43715 and 24535.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4*c*j*o**2 + 7*c*j*o - c*j - c + 395*j*o**2 + 2*j*o - 4*j + 21*o**2 + 70*o wrt o.\nAnswer: -8*c*j + 790*j + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 2*w**2 + 13*w - 1. Let j be t(-7). What is the greatest common factor of j and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -314 - -317. What is the derivative of 25 - 5*i**2 + t*i**2 - 46*i**4 + 108*i**4 wrt i?\nAnswer: 248*i**3 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2907 + 3465. Calculate the lowest common multiple of o and 66.\nAnswer: 6138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -2*j**3 + 140*j**2 + 129*j - 4. What is the tens digit of f(63)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -65 (b) -0.045 (c) 30 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 1. Let k be (-6)\/(-16)*-2 + 90\/(-72). Let r(p) = 5*p**2 + 1. Give k*i(z) + 2*r(z).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 47293594.\nAnswer: 2, 23646797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 71061?\nAnswer: 3, 23687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 4) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 59 + -28. Suppose i = 3*f - 62. Suppose -3*k + 4*k = -5*t + 31, -4*k + 64 = 5*t. Calculate the remainder when f is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 13021*i - 1 - 13020*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find g such that -g**3\/5 + 112521*g**2\/5 - 633060024*g + 633037520 = 0.\nAnswer: 1, 56260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Multiply 32 and -5.\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11739?\nAnswer: 3, 7, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 100111111101 (base 2) to base 7\nAnswer: 10312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 639794?\nAnswer: 2, 319897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 2*r + 27. Let a(u) = -41*u. Determine a(j(o)).\nAnswer: -82*o - 1107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 2*q**2 + 81*q + 593. Let x be g(-8). Solve 3*v + 5*n + 99 - x = 0, -3*v + 2 = -2*n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 5\/231135212 and 117\/235312?\nAnswer: 924540848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 3, x: 1}. What is prob of sequence gg?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 11554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Do 6560417 and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*g = -0*g - 27. Suppose -g*o = 3*o - 108. What is the highest common divisor of 144 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -2 and -9448398108.161.\nAnswer: -9448398110.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-47*k - 50*k + 58*k)*(-3*k**2 - k**2 + 3*k**2).\nAnswer: 39*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 217*g**4 - 10467*g**3 - 5*g - 42879?\nAnswer: 2604*g**2 - 62802*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = 2*c - 15. Suppose c*d + 2 = 4*d. Suppose 2*i = d*z - 14, 16 = -5*z - 5*i + 91. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -313*s**2 - 93*s**3 + 247*s**2 + 503*s**3 - 2*s**6 - 558*s**2 wrt s.\nAnswer: -240*s**3 + 2460","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 87956 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/(-3))\/(-4)*(-1648)\/(-927).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find a such that -44*a**3 - 4*a**2 + 44*a + 4 = 0.\nAnswer: -1, -1\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 57884442 a multiple of 349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1296 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 266797+-167421466\nAnswer: -167154669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 50213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*v - 174 = 7*v. Suppose -4*f = 3*c - 53, 5*f - 11 - v = -c. What is the remainder when 52 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hhe when three letters picked without replacement from {m: 1, e: 2, q: 1, g: 7, h: 5}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-6)\/27)\/(2\/6). Let u = 27.5 + -28. Which is the smallest value? (a) u (b) z (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 3, -5, 24.\nAnswer: -5, -3, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0 + -5. Let c(t) = t**2 + 79*t - 3556. Let h be c(32). Put h, 1, 4, z in increasing order.\nAnswer: z, h, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 34 - 54 - 7*m + 20.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:34 AM and 9:29 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -141, -280, -419, -558, -697?\n\"Answer: -139*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = q**2 + 11*q + 7. Let n be o(-11). Suppose -8*p + n*p + 98 = 0. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 4, p: 6, o: 1, s: 3}. What is prob of sequence op?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = 517*k - 2065. Let j be w(4). Let o(u) be the third derivative of -1\/60*u**5 - 5\/6*u**j + 0*u - 21*u**2 + 0 + 7\/24*u**4. Calculate o(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -4*o**2 + 3*o - 16. Let t(a) = -2*a**2 + a - 6. Let r(h) = 2*f(h) - 5*t(h). Suppose 5*k - 7 = -5*l + 6*k, 0 = 3*l - k - 3. Calculate r(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fllqrfffqrrqrolrff. What is prob of picking 2 q and 1 r?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -190218, -380426, -570634, -760842, -951050, -1141258?\nAnswer: -1331466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/7, 3, 29.9, 5.\nAnswer: 3\/7, 3, 5, 29.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -15, -12, -25, -66, -147, -280?\n\"Answer: -2*g**3 + 4*g**2 + 5*g - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1675 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 209661? (a) 281 (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 3*n**2 + n - 1. Let t be -4 - (-3 + (-6)\/(-3)). What is l(t)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -21827*z**2 + 16204 - 16204 to the form q + b*z + u*z**2 and give u.\nAnswer: -21827","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) be the first derivative of -21*k**2\/2 - 79*k - 32. Let j be c(-9). Calculate the highest common factor of 22 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 118 - 14 = -13*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = n**2 - 17*n + 4. Let y(o) = 2*o. Let t(j) = r(j) + 6*y(j). Let f(s) = s. Let p(x) = -6*f(x) - t(x). Calculate p(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -14*b**2 - 62*b - 2. Let j be l(-4). Let k(o) = 10*o + 29. Does 9 divide k(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 39 + 799a2?\nAnswer: 79a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express -2 + 4 + 7*g - g + 5*g as d + p*g and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 1a247224 + -4?\nAnswer: 1a247220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 6538 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z = -188 - -242. Let c(x) = 7 + 48*x**2 - z*x**2 - 9. Let d(v) = -25*v**2 - 8. Give 9*c(b) - 2*d(b).\nAnswer: -4*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -a3b06 (base 13) to base 6.\nAnswer: -10145230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 17.7 + -17.70000079. What is s rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000147384 to six dps.\nAnswer: -0.000147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 11, t: 5}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is nine tenths of a century in months?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find c such that 6*c**4\/7 + 45952*c**3\/7 - 337290*c**2\/7 + 15332*c = 0.\nAnswer: -7666, 0, 1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 3331 less than -604.80496793?\nAnswer: -3935.80496793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1978331 is divided by 86012?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16352.\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 543 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = 9719 - 9611. Solve -29*z + m = -47*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/9? (a) 7 (b) -1\/7 (c) -1\/2 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve n = -1, -5*b + 10 = -3*n - 9 + 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = y. Let k be v(1). Let h be 18\/12 - k\/(4\/(-90)). Suppose -7*q = -q - h. Solve d + q = -0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -30024 divided by -15012?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 48 divided by 5209.\nAnswer: 48\/5209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = -105 - -105.1. Which is the nearest to s? (a) -8 (b) -0.1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(28)\/sqrt(4) + -1 - sqrt(7)) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -3*u**2 + 196*u - 64. What is n(65)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 10*o - 2. Let z(d) = 9*d - 2. Let c(g) = 6*l(g) - 7*z(g). Calculate the remainder when c(-5) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) be the second derivative of -s**4\/12 + 19*s. Let k(d) = -12*d**2. What is k(g(y))?\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/7*o + 2*o**2 + 2\/7*o**3 - 2.\nAnswer: 2*(o - 1)*(o + 1)*(o + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -254 divided by -1.\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2957 + -2957. Put -123\/5, 4, i in descending order.\nAnswer: 4, i, -123\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -497*w**2 - 4*w + w + 489*w**2 + 10. Let u be o(-4). Let h = -65 - u. Is 17 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -49 - 50 + 99 + 50*t**3 + 20*t**3.\nAnswer: 70*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1672 and 89010136?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*s + 0*s**2 - 86*s**3 - 101*s**3 - 4*s + 2*s**2.\nAnswer: -187*s**3 + 2*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1119 and 11.41?\nAnswer: -12767.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -19, -1\/4, -1.2 in ascending order.\nAnswer: -19, -1.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j - 130 = -5*i, -38 = -3*i - 4*j + 40. Let r(k) = 70*k**2 - k. Let u be r(-1). Let v = u + -61. What is the remainder when i is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-5)\/((-15)\/6) + 0. Let h be 14\/2 + -3 - 0. Suppose i - y + 2*y - 42 = 0, h*y + 84 = q*i. Is 21 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 6182 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 244961?\nAnswer: 487, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find n, given that 2*n**2 - 71774*n = 0.\nAnswer: 0, 35887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.052*-8.1397.\nAnswer: -0.4232644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -39*x - 4. Let i be (-3)\/(-4) - 35\/20. What is the units digit of t(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = p**3 + 6*p**2 - p - 1. Suppose 29 + 1 = -5*z. Let j be s(z). Differentiate -n**3 - 2*n**3 + 6*n**3 + 1 - j*n**3 wrt n.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1118601521 to the nearest integer?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.00121 + 0.59879. Which is the fourth biggest value? (a) m (b) -0.3 (c) 1 (d) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -211 + 371. What is the greatest common factor of 64 and s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -2*a. Let v(s) be the third derivative of 21*s**4\/8 - 39*s**2. Calculate v(p(j)).\nAnswer: -126*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*n + 11 = 60. What is the units digit of 2 - (0 - -5) - n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 83*f**2*j + 259*f**2 + 2*j**4 wrt j.\nAnswer: 83*f**2 + 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -t**3 - 8*t**2 - 6*t + 3. Let k be c(-7). Let f(h) = 6*h - 14. Let d(j) = 2*j - 5. Let x(y) = -8*d(y) + 3*f(y). Give x(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) be the first derivative of 7*y**4\/2 + y**2\/2 + 357. Give o(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*c + 0*c - 4*c)*(0 + 0 + c) + 210*c**2 - 680*c**2 + 3*c + 59*c - 77*c.\nAnswer: -471*c**2 - 15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = 2*q - 6. Suppose 5*u - 3*u + 40 = 5*j, -24 = -3*j + 2*u. Let h be a(j). Which is smaller: h or 11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 58 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 206*a**3 + 3*a**2 + 6*a + 10. Let r be l(-4). Round r to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 6 (b) -0.34 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -6*s**2*v**3*y + 2*s**2*v**2 + 6735791*s**2*v*y - 96155*s*v**3 + 3*v**3 - v**2*y wrt v?\nAnswer: -36*s**2*y - 576930*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Solve 0*r = -10*r + 8*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*o**2*y**2 - 3*o**2*y - 303014*o**2 + o*y**2 - o*y + 60*o - 2*y**2 - 375 wrt o.\nAnswer: 4*y**2 - 6*y - 606028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 872*g = 874*g - 8, 83*j + 2*g - 1182 = -3*g for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 218231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = 39 - 44. Let d = l + 27. Calculate the remainder when d is divided by 4*(6\/(-4))\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -620.83 and -125?\nAnswer: 77603.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-45 - -47) + -6 + -2 + (3 - (4 + 3)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -47*y - 89. What is j(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (9\/(-7560)*-7)\/(155\/(-270) - (-16)\/216)\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 14045 divided by -6?\nAnswer: -14045\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o = 18 - 11. What is the third derivative of -d + o*d**2 + d + 2*d**4 - 8*d**2 wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -5*z**5 - 145*z**4 - 1120*z**3 - 980*z**2 = 0. What is z?\nAnswer: -14, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 131*u - 353 - 564 = 0. Let y = 20 - 6. Suppose -124 = -5*i - y. Solve u = 3*x + i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1\/(-3) + ((-62)\/(-3))\/2. What is the second derivative of 7*i**3 - 7*i - 10*i**3 - r*i wrt i?\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12059392400 rounded to the nearest 1000000?\nAnswer: 12059000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -l - 217 + 208. Let i(s) = -s**3 + s**2 - s + 1. Let x(p) = 5*p**3 + 4*p**2 + 3*p - 23. Let h(q) = -4*i(q) - x(q). Is h(l) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -101 - -98. Let c(v) = -2*v - 9. Let a be c(3). What is the hundreds digit of (-349)\/k + (-10)\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 12) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 71?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:28 PM and 5:31 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 0.337462469 to two decimal places.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46 = 4*o - 170. Is 27 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -18.5 - -19. Which is the third biggest value? (a) -3 (b) p (c) -0.19 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 101*f - 123*f = -6138. Calculate the highest common divisor of 27 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*s = f - 7, 26 = -2*f + 36 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1137144.\nAnswer: 2, 3, 47381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -3.137 take away -3055?\nAnswer: 3051.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Add together -1255 and -6034113.\nAnswer: -6035368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -23085.8977 rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -3106*o**3*w - 2*o**2*w - 2*o**2 + 85656*w wrt o.\nAnswer: -9318*o**2*w - 4*o*w - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 3, e: 1, m: 5, x: 4}. What is prob of sequence xmx?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = 282 - -187. Let l = -217 + q. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/6? (a) -1\/4 (b) -41 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -2794347 divided by -16?\nAnswer: 2794347\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = 489 - 480. Solve f = 2*j + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -4 - 2*g - 2 + 6. Let d(o) = 21*o. Let c(z) = -z + 4*z - 4*z + 6*z. Let p(b) = -26*c(b) + 6*d(b). Give p(k(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6818609 divided by -2.\nAnswer: 6818609\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*((d\/(d\/((d**(-3\/14)\/d)\/d)))\/d)\/d)\/(d\/((((d\/(d\/d**21))\/d)\/d*d*d)\/d)) assuming d is positive.\nAnswer: d**(221\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -1012 = -1861*l + 1839*l for l.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: -7*1\/3*(-42)\/(-14)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -19 + 20.6. Let z = v - 1.5999938. Round z to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-32)\/48)\/(2\/123)*1. Put -4, 3, 1, x in descending order.\nAnswer: 3, 1, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find p, given that p**3\/10 + 22327*p**2\/10 + 39674843*p\/10 + 18398377829\/10 = 0.\nAnswer: -20429, -949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 27*h**3 + 4*h**2 + h - 1. What is z(-1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13794.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = s**2 + 11*s. Let z be c(-11). Let k = 5 - z. What is the third derivative of -k + 5 + 3*m**2 - 2*m**3 + 0*m**2 wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1913712 is divided by 956855?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = 37 + -16. Let d = x - 20. Solve q + 5*h = -6, h = 5*q + 3 + d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 4 - 3*d**2 + 9*d**2 + 5.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*b**2 + 6*b**2 - 3*b**2)*(-b**2 + 2*b**2 - 3*b**2) + (-2*b + b - b)*(-3*b**2 + 3*b**2 + b**3) + b - 2*b**4 - b - b**4 - 2*b + 2*b.\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -t + 7. Let y be q(5). Let x = y - 1. Let z(b) = -4*b**3 + 67*b**2 + 8*b + 155. Let v be z(17). Solve -x + 3 = -3*o + v*d, -3*o = d + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1411 - 1411.4. Sort n, -2\/9, 13.2, 4.\nAnswer: n, -2\/9, 4, 13.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29*c**3 + 27*c**3 - c**3 + 2*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = 33 - 33. Suppose 5*r = 25, -7*y + 30 = -2*y + 4*r. Solve -y*b = -4*v - s*b + 12, 2*b = -5*v + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(228)\/(sqrt(12)*-1))**2 + sqrt(19) + sqrt(19) + -2 + -4 + -6*-1*sqrt(57)\/sqrt(3)*-1.\nAnswer: -4*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 232 = 2*z + 218, -2*z = -14. Which is smaller: k or -11\/2059?\nAnswer: -11\/2059","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 8 - 8.31. Let z = 0.11 + c. What is the third biggest value in z, 3, 10?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -126, 1 in decreasing order.\nAnswer: 5, 1, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -10*r + 31. Calculate n(7).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-6)\/((0 - -1)*-2). Let q = z - 1. Suppose -l + 20 = -5*l, -q*l - 105010 = 3*p. What is p rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from huhju. What is prob of picking 1 j and 1 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 3365 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 93506.81 micrometers to centimeters.\nAnswer: 9.350681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -v - 3. Suppose 2*i - 6 = -2. What is the smallest common multiple of a(-19) and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2107*c - 7551 - 64087 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:07 AM and 1:33 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -10 - -1022320001?\nAnswer: 1022313331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2906 - 2861. Solve t - 100 = -11*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -2*j. Let p = -11 + 16. Suppose -3*g = -p*g + 2. Let n(i) = 4*i - 2. Let y(o) = -o + 1. Let r(l) = g*n(l) + 2*y(l). Calculate r(t(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -2*t**2 + 158*t - 121. Calculate the least common multiple of p(78) and 5 - (1 + (1 - 4)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = n**3 - 18*n**2 - 17*n - 40. Determine u(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Product of 80 and -0.2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -6*t**3 + 0 - 28*t**2 - 4 - 14*t**2 + 9*t**4 + 66*t**2 - t - 22*t**2 in the form j*t**4 + l*t**3 + u + z*t + a*t**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 2*w**2 - 7*w + 5. Let g = 10 - 4. Let d be u(g). Suppose -3 = 4*a - d. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -782878 divided by -1\nAnswer: 782878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 79983.\nAnswer: 3, 8887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3259 + -3254. Solve 2*h + 0*h = t*r, -2*h = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) be the third derivative of p**6\/90 - p**5\/6 - p**4 + 11*p**3\/6 + 17*p**2. Let n(d) be the first derivative of i(d). Suppose n(t) = 0. Calculate t.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3225695387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 408, 808, 1186, 1530, 1828?\n\"Answer: -2*c**3 + c**2 + 411*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 3*r**2 + 5*r + 5. Let t be o(-1). Suppose 4*i + 5 = 3*l - 28, -t*l - 3*i = -12. Solve m + 3 = l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 88\/327 - 28649\/10464. Calculate the common denominator of b and 85\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/2009 in -3, -1\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 2*o + 2*c - 6, 3*c = -15. Let h be -3 + (2\/o - 308\/6). Let g = 86 + h. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -3*v - 13. Let r be y(-6). Solve 0 + r = 5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/9, -2\/15, 0.05, -6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/(-7))\/((-195)\/(-273))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -377*y + 17351. Determine r(46).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 37859, 75716, 113573?\nAnswer: 151430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 6202399?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -5 + 20110?\nAnswer: 20103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 3\/7 (b) -5 (c) 3 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(7\/3)\/p)\/p)**(-9\/10) assuming p is positive.\nAnswer: p**(-3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -18, 29, 116, 249, 434, 677?\nAnswer: 984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n - 4410 = -17*n. Let t = -250 + n. Calculate the greatest common divisor of t and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1574035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -b**3 + 9*b**2 - 2*b + 21. Let v be o(9). Suppose -1 = -m - 2*k, -3*m + 3*k = 4*k - v. Is (m - -2) + -4 - (-24)\/1 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -58247*k + 58247*k + 2*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1.3 + -1. Let p = -0.53 + 7.33. Let n = 7 - p. What is the third biggest value in c, n, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 72216 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 4060 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.3 + 0.3. Let q = 0.1 - s. Let b = 0 - 0.1. What is the nearest to b in 3, q, -5\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-24 - 79 + 28)*(2*l**2 - 2*l**2 - l**4) in the form g*l**3 + u + t*l + z*l**4 + a*l**2 and give z.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = z**3 - 8059*z**2 - 96848*z + 63. What is l(-12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -c**3 - 5*c**2 + 4*c - 7. Let s be ((-5)\/(-3) + -1)*-3. Let f be 64\/(-10) - s\/5. Let i be u(f). Solve 3*k = i*m - 4, -k = -2*m - 4*k + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1821535\/744 + 19589\/8. What is the common denominator of 83\/18 and o?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v - 2 = 2*v. Let h(j) = -4*j**2 + 4*j + 8. Let g(u) be the first derivative of -u**2\/2 - u + 941. Let l(w) = v*h(w) - 4*g(w). What is i in l(i) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*b*p + 6887146*b + 261*p - 36668 with respect to b.\nAnswer: 2*p + 6887146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 36772?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -21*x*y*z + 8011*x*y + x*z + 2*x - 34*y*z - 2*y + 1086*z - 57 with respect to z.\nAnswer: -21*x*y + x - 34*y + 1086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 37359\/(-1779)*2\/49?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p - 2*p = -30. Let j be ((-2)\/p)\/(1\/(-5)). Solve -j*a + 3*a = 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -32070 (base 15) in base 14?\nAnswer: -41bbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (-4 + 2 - -2) + 1 + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 5\/51 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(3)*-2 + 2)*-1.\nAnswer: -7 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11 + 21478*r - 10733*r - 10743*r.\nAnswer: 2*r - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-15 - (-36 + 1)) + -18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q - 71 + 89 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d + 15 = 0, f - 129*d = -128*d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (9\/(-16))\/((-75)\/(-200)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 79*b**3 + 38*b**3 + 269*b**3 - 26*b**3 - 122*b**3.\nAnswer: 238*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in seven halves of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -4*s**2 + 47*s - 34. Let i(d) = d**2 + d + 1. Let z(g) = -2*i(g) - v(g). Calculate the least common multiple of z(24) and 58.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*g**3*q**3 + 106077*g**3*r**3 + 9*g**2*q**3*r**2 - 25*g**2*q**2*r + 3*g**2*q*r**2 + 4*g**2*q*r - 2*g*q**3 - g*r**3 wrt g.\nAnswer: 12*q**3 + 636462*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 13\/18 and (-691)\/360 - (-8 - -6).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1269*m + 7661.\nAnswer: 1269","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 17643679 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 219 - 219 - 63*t**5 + 72*t**2 + 24*t**2 wrt t?\nAnswer: -3780*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 38681796, 77363589, 116045382, 154727175, 193408968, 232090761?\n\"Answer: 38681793*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 217*g**2 + 60*g - 9. What are the prime factors of h(3)?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = w**2 + 6*w - 11. Let i be p(-8). Suppose i*c = -0*c + 35. Suppose 2*b + 18 = -5*o, -c*b + 2*b + 21 = -4*o. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 121\/6 + -20. Let i(r) = r**3 - 7*r**2 - 13*r. Let t be i(-5). Let o = 236 + t. What is the closest to o in 0.3, -0.1, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -18\/1007 - -76317\/44308. Calculate the common denominator of -19 + 3960\/128 - 17 and g.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in g - 1491*g + 2*g**2 - 3*g**2.\nAnswer: -g**2 - 1490*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37*c = 28*c - 513. Let v = -214 - -114. Let w = c - v. List the prime factors of w.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -211011 + -201012?\nAnswer: -1112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = 13901.00030628 + -13901. 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 2 + -1 + 16 - (-2593 + 2609)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.3 from 0.04657777897925.\nAnswer: 0.34657777897925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1094 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: -3 - (11 - (11 - 29 - -35))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = 2*g - 5*x, -25 = 4*g + g + 2*x. Let a = g + 10. Solve -a = h - 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 45\/(-27) - 1\/(-6)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = r**2 + 45*r + 242. Calculate h(-38).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -w**3 - 11*w**2 - 8*w - 5. Let v be b(-10). Let y = 22 + v. What is the units digit of ((y - 0)\/(-3))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 265 + -259 - (-5 + (-4 - -2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2239.\nAnswer: 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 10*1\/(-2)*(-8)\/10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 2*o + 3 = 0, t = 3*o - 6. Suppose -2*c - 4*z = 2*c + 12, t*c + 2*z + 4 = 0. Suppose -c*a = -4*j + 543 - 133, -315 = -3*j - a. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 198171497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-3)\/(-5) + 708\/20. Let k = r - 28. Solve -k = -5*t + 4*q + 2, t - 3 = q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1154*a = -1162*a - 24 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -5 * -82.7\nAnswer: 413.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-63)\/15)\/(1\/(30\/(-9))). What is the common denominator of 22407\/(-6336) - k\/(-6) and 19\/16?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (26\/((-1716)\/18))\/1.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 2*q**3 + 3*q**3 + 237*q - 2*q**3 - 236*q as v*q + p + l*q**3 + u*q**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = 6 - 1. Suppose 0 = 5*u + 2*a, 2*a = u - g - 7. What is the third derivative of 0*q**2 + 4*q**4 + q**u - 2*q**4 wrt q?\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 4 = -4*o - 0, 3*l + o + 17 = 0. Is 920\/22 + l\/(-22) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 109\/1500 and -67\/102750?\nAnswer: 205500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*a - 3 + 3)*(4*a - 1 + 4*a + 6*a).\nAnswer: -28*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 9791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -1238, -14 in descending order.\nAnswer: -3, -14, -1238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = 2*p - 4. Let l(o) = -4*o + 4 - 5 - 6 + 15. Give -6*l(y) - 13*n(y).\nAnswer: -2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 88 divide (-56)\/(2240\/200) + 9002*2 + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n + 5328268 = n. Let o = n + 372067. What is o rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 40595 - 5149. List the prime factors of c.\nAnswer: 2, 37, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = 1276*i - 1274*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/(w*w\/(w*w**(-35)))*w*w**(-1\/16)*w**38\/(w\/w**13))**(-19) assuming w is positive.\nAnswer: w**(-4845\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 - 3)*(425328*c**2 + 861*c**3 - 425328*c**2).\nAnswer: -2583*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.2 + -2.2. Let z = t + 2.0115. What is z rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 3 (b) -8\/17 (c) -9 (d) 0.4 (e) -2.298\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 47637 (base 8) to base 6\nAnswer: 234211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = 2*h + 6 + 6 - 9 + 3 - 9. Let q(a) = 4*a - 7. Give 13*g(l) - 6*q(l).\nAnswer: 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 25906387 is divided by 38782?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -102426, -102419, -102406, -102387, -102362, -102331, -102294?\n\"Answer: 3*t**2 - 2*t - 102427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 6*j + 289. Let h be w(-49). What is the fourth smallest value in -0.5, 5, h, 35, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -132 - -23.486?\nAnswer: -108.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = z**2 - 3*z - 3. What is the tens digit of t(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -x**2 + 4*x + 1. Let v be r(3). Let n = -8 + 11. Let k be n\/(((-6)\/(-4))\/(-1)). Sort k, v, -1.\nAnswer: k, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = t**2 - 7*t + 12. Let x be r(6). Let s = -9 + x. Let w = 0.09 + 0.21. Which is the nearest to s? (a) w (b) -0.3 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -3 - -201?\nAnswer: 1fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -0.010031639 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.2 + -0.4. Suppose -q + 12 = 3*q. Let l be 6\/(-4)*(-4)\/(-39). What is the third biggest value in l, q, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 496 minutes after 4:40 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = k**3 - 51*k**2 - k + 53. Let b be p(51). Sort 14, 0, b.\nAnswer: 0, b, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(2\/17)*(z\/((z*z\/((z*z**6)\/z))\/z)*z)\/z)**(-49))**(-12\/5) assuming z is positive.\nAnswer: z**(61152\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6993\/(-3996))\/(14\/(-16)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 10*q + 9 - 69. Calculate the least common multiple of q and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 21*y**4 - y - 71.\nAnswer: 252*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 - (-3 - -2) - 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -6408*p - 6215*p - 8547 = -12216*p for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 180 + 1440 = 0. Is 6 a factor of (a\/(-25))\/3*-5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve 2*m - 13 = 5*k, -5*k - 369*m + 362*m - 67 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 8*z**3 - 5*z**2 - 6*z - 8. Let o = 33 + -28. Let l(h) = -3*h - 3 - 2 + 7*h**3 - 2 - 4*h**2 - 2*h. Give o*i(p) - 6*l(p).\nAnswer: -2*p**3 - p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) be the second derivative of n**4\/12 - 11*n**3\/3 + 6*n**2 + 19*n. What is the units digit of z(22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -791 - -808. Suppose -t = -61 - 158. What is the remainder when t is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -115919*b + 115924*b = -3*v - 32, 4*v - 3*b = -91 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2)\/(-11) - 68\/11. Let t = -3 - g. What is the units digit of (t - 5)\/((-2)\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.078 + -0.07837. Let a = 0 + k. What is a rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -b**2 + b - 1. Let y(z) = 8*z**2 - 2*z + 2. Let f(h) = -2*q(h) - y(h). Let w(p) = -3*p**2. Give w(f(g)).\nAnswer: -108*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 - 4 + 1)*(-2*l - 17 + 23 - 10)*(38*l**2 - 6*l**2 + 4*l**2) to the form i*l**2 + s*l**3 + w + r*l and give i.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(128) + -2 + 3)**2.\nAnswer: 16*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + (12 - 4) + -4 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -270302 rounded to the nearest 1000?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*b = z - 1077 + 1025, -12*b = -8*b - z + 46 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) be the second derivative of z**5\/20 + 3*z**4\/4 + 9*z**3\/2 - 3*z**2\/2 - 2*z. Let c(y) be the first derivative of d(y). Factor c(s).\nAnswer: 3*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5 - 3. Let w = 2 - h. Solve -2*s - s + 12 = w for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.3 and -5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23*f + 30*f + 4*f - 14*f.\nAnswer: 43*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -5*j - 2. Let n(q) = q. Determine h(b) - 2*n(b).\nAnswer: -7*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/55 in -34, 5, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 36 a factor of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 15034?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4 and 110.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 2, d: 5, r: 3}. Give prob of picking 1 w and 2 d.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:06 PM and 10:39 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -17353843*u**3 - 2*u**2 + 159981283*u - 1 wrt u.\nAnswer: -104123058*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (-376 - -367 - 52\/(-6))*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -47\/81 and -31\/9?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 86885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -h - 4 + 3*h**2 - 2 + 2. Let t(g) be the third derivative of g**5\/15 - g**4\/24 - 5*g**3\/6 - 13*g**2. What is 5*l(q) - 4*t(q)?\nAnswer: -q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -u**3 - 3*u**2 - 2*u - 2. Let l be j(-3). Let v(y) = -5*y**2 + 0*y - 3*y + 2 + 3*y**2 + 2*y**3 - 7. Is v(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1240511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k be 5 - 6\/(-11)*406\/(-42). Which is the nearest to -1\/5? (a) 2 (b) 5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) be the third derivative of 5*g**4\/6 - 71*g**3\/6 - 201*g**2 - 2*g + 5. Calculate z(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:08 AM and 11:16 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*i**(-2))\/i*(i\/(i**(-1)*i))\/i)**(-5)*((i*i**(1\/4)*i)\/(i**(5\/3)\/i))\/(((i\/i**(-6))\/i)\/i**(1\/5)) assuming i is positive.\nAnswer: i**(347\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*g + 71*g - 6 = -y + 3*y + 40*g, y + g = -3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = a**3 + 9*a**2 + 16*a + 19. Let p be r(-7). Solve 4*d = -p*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3536492 is divided by 4071.\nAnswer: 2864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify m*m**(1\/2)*m*m\/m**(-20\/9)*(m*m\/(m*m\/m**(-14)*m))\/(m\/(m*(m\/m**(-1\/19)*m)\/m)) assuming m is positive.\nAnswer: m**(-2813\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 579 and 242601?\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -m + 5. Let q be t(6). Which is bigger: -12\/7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) be the second derivative of -n**5\/4 + 785*n**4\/12 - 7475*n**3\/6 + 18375*n**2\/2 + 7*n + 2. What is p in a(p) = 0?\nAnswer: 5, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-4)\/(-18) - (-32)\/(-144). Let a be 3*(66\/9 + f). Calculate the common denominator of 2\/2*84\/a and 133\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*z - 12*z = 189. Let p = 116 + z. 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 the ten thousands digit of 496310?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -652*l**2 + 17636*l - 95. Give g(27).\nAnswer: 769","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*o**3\/2 - 291*o**2 + 7442589*o\/2 - 2031702288.\nAnswer: -3*(o - 847)**2*(o + 1888)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*p - 5*n + 10, -44*p - 2*n = -49*p - 16. Put 4, -80, p in descending order.\nAnswer: 4, p, -80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.13755 - 196210\nAnswer: -196209.86245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide -260256 by 86752.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is ((-15)\/(-180))\/(1\/((-18)\/(-6)))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -3*l + 20 - 71*l**2 + 15 + 82*l**2. Let v(y) = -y + 3. Let m be v(-3). Is n(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0031272 to 4 dps.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - o = 5163, 5 = -5*o - 20. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35*m = 27*m - 8. Let s(b) = -2*b**3 - 33*b**2 - 20*b - 65. Let l be s(-16). Is l less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.2, 14751, 1\/4, 1?\nAnswer: 14751","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-71)\/(-2272))\/(1\/(-2))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -77492.6+-2.153\nAnswer: -77494.753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = -48333\/5 + 48337\/5. Factor q*d**2 + 0 + 2\/5*d**5 - 6\/5*d**3 + 0*d**4 + 0*d.\nAnswer: 2*d**2*(d - 1)**2*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2*5\/(-15) - 82\/(-6). Let i be 23 + x\/((-78)\/24). Solve 1 = -2*f + 4*f + s, -5*s - i = -2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 279 minutes after 7:15 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = -12 - -16. Suppose -4*c = -f + 2*f - 12, 4 = q*f + 5*c. Let k(i) = -i + 4. What is the smallest common multiple of k(f) and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 7, -0.3, -0.4, 1\/5, 4, 135?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2303 divided by -5.\nAnswer: 2303\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is ((184\/1610)\/(37\/(-5)))\/(24\/(-84))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -6598*-0.04\nAnswer: 263.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) be the first derivative of -3 + 12*v**2 - v**3 - 12*v**2. Let g(r) = 2*r**2. Determine g(a(f)).\nAnswer: 18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 143308 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/2 at most 17021400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*k - 1982 = 528. Suppose -h - k = 2*c + 3*c, c + 3*h = -39. Let f = c - -96. What is the lowest common multiple of f and 21?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*c - 18*c = 0, x - 15 = -5*c. Suppose -16*s = -x*s - 1165. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 39\/(-12)*38\/1235?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 401*h - 427*h - 2210 for h.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5.4 + 0.4. Let y = -0.02 + -1.98. Which is the nearest to -1\/5? (a) y (b) q (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -151 divided by 3.\nAnswer: -151\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2 - -1) + 2\/2. Let m(v) = -v**2 + v + 13. Let z be m(0). Let k = 13 + -10. Solve 5*o = l - z, o - 3*l - k + 0 = t for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1907 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -172*q + 173*q + 4, -5*b - 5*q + 2925 = 0. Calculate the remainder when 1813 is divided by b.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -13 + 10.8. Let v = 2 + d. Put 2, v, -0.5 in ascending order.\nAnswer: -0.5, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify a\/(a**(1\/17)\/a*a)*a**13*a assuming a is positive.\nAnswer: a**(254\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 3, b: 2, q: 4, v: 7, f: 2}. What is prob of picking 1 b and 1 q?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -27 * 932520.7\nAnswer: -25178058.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 245976 = 3*o, -15*o = -20*o + 3*c + 409959. Round o to the nearest one thousand.\nAnswer: 82000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*x - 216 = -6*x. List the prime factors of ((-80)\/(-6))\/((-12)\/x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1)\/3 - (-3)\/(9\/10). Suppose s*h = -7*h + 560. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) be the first derivative of 0*n + 102 - 5\/2*n**2 + 5\/16*n**4 - n**5 + 20\/3*n**3. Let a(u) = 0. What is u?\nAnswer: -2, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 228871171 or 228871173?\nAnswer: 228871171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1607\/11 - 146. Let f = 168\/445 - -2\/89. What is the closest to 2\/3 in d, -1\/4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = -2*o - 4838, -3*j = 5*o - o - 7292. What are the prime factors of j?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = m - 1. Let v be -3 + 2\/6*0. Let z be 2\/(-6) - 4\/v. Let f be j(z). Which is bigger: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -32*i = -36*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.1 + -0.1. Let q be (-1)\/1*2\/(-2). Let t be 1\/(-2) + 5\/20. What is the nearest to d in q, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 2645 + 0?\nAnswer: 2645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = -7.0157 + -0.9203. Round p to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -8767.83303 to the nearest 10.\nAnswer: -8770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3064019?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 22589800 to the nearest integer?\nAnswer: 4753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 467 minutes before 10:38 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 2*x + 4*x - 6)*(0 - 16 - 10 - x)*(-3*x**2 - 3*x**2 + 5*x**2 + (0*x**2 - 4*x**2 + 3*x**2)*(3 - 1 - 1)).\nAnswer: 4*x**4 + 94*x**3 - 260*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.32138 - -0.42138. Which is the smallest value? (a) 1\/13 (b) -10 (c) x (d) 2\/5 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 430 minutes after 10:20 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1979*r**4 + 1499*r.\nAnswer: -23748*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 316511*c*d - 65027*c wrt d.\nAnswer: 316511*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -26, -0.1, 3\/43, 2, -1, -0.3 in increasing order.\nAnswer: -26, -1, -0.3, -0.1, 3\/43, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000003235 rounded to seven decimal places?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y + 1211 = -3*g + 1248, 0 = 4*g - 36 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2122 is divided by 664?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 divided by 5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 = 4*y - y. Suppose -w = -y + 3. What is the third derivative of j**4 - 2*j**w + j**2 - 3*j**2 wrt j?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 66 a factor of 337986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 556658 <= 556632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 11561*x**2 - 1437*x - 1 wrt x?\nAnswer: 23122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 - (-4 + -2 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put together 3 and -30477485994317.\nAnswer: -30477485994314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1523648161.\nAnswer: 7, 97, 2243959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Product of 4.342 and -33006.\nAnswer: -143312.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/6, 0.1, -583 in decreasing order.\nAnswer: 1\/6, 0.1, -583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 23774374 and 2262.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -23334 (base 5) in base 4?\nAnswer: -122313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 23 + -59\/2. Suppose 4*b - 6 = b. Find the common denominator of b\/(-18)*176\/8 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(85)\/(6*(sqrt(5) + sqrt(5)*1)))**2.\nAnswer: 17\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 5 + 0 + 4*t)*(-34 - 22 - 1)*(5 - 2*t - 5).\nAnswer: 456*t**2 + 114*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 226082080 a multiple of 374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2*j**3*l**2*x - 15*j**3*l*x + 80*j**3 - 53*j**2*l**2 + 11*x wrt x?\nAnswer: -2*j**3*l**2 - 15*j**3*l + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 62062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -105 = -10*f + 3*f. Let v be 4\/(-20) + 73\/f. Suppose x = 2*x - 5. Which is greater: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m + 4 = -q, -13*q - 2*m - 20 = -17*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) be the third derivative of -2041*a**4\/8 + 7151*a**3\/3 + 6*a**2 - 303. Find the first derivative of j(w) wrt w.\nAnswer: -6123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1395 + -1390. Solve 5*m - 11 = -r - 6, -5*r + h*m = 35 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38 a factor of 86115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -4*l**3 - l**2 - l - 1. Suppose 17*w = 6*w + 11. Let o be 4\/(-8) - w\/2. Let c be k(o). Solve 0 = -2*s + c*j + 9 + 1, -2*s - j = 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 5\/6 (b) -290 (c) -2 (d) 183 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1 + -eab?\nAnswer: -eac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(432) + 1)*-6*-2)**2 + (sqrt(432) - (sqrt(432) + (sqrt(432) - -5*(2 + sqrt(432)))**2)) + -1.\nAnswer: 2016*sqrt(3) + 46699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k + 27 = -104*j + 102*j, 3*k - 4*j + 11 = 0. Let y(h) = 4*h - 7. Let v(s) = 3*s - 8. Give k*y(a) + 4*v(a).\nAnswer: -8*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 128, 274, 422, 572, 724?\nAnswer: 878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -22408 + 155236\/7. Let k = u - -231. Do k and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -6*o - 194. Calculate the smallest common multiple of w(-33) and 897.\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1 - 16\/(-4)) + 45. Suppose 0 = r*k - 53*k + 815. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 4, -0.4, 1, -3.2, 11, -1\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 2660532 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 10 and 10028?\nAnswer: 50140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 73 (b) -6 (c) -72\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xm when two letters picked without replacement from {k: 3, c: 8, v: 1, m: 1, x: 2, w: 3}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 11054717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -209 divided by 352.\nAnswer: -19\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.36 and -0.7.\nAnswer: -0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -5 and 5971595?\nAnswer: -29857975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/81 in 9, -0.2, -0.3, 1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a be (4\/3)\/(36\/(-594)). Let m = a + 25. Suppose 3*q + m*u = 41 + 25, -q + 4*u + 7 = 0. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -m**3 - 5*m**2 - 5*m + 4. Let d be n(-3). Differentiate 37*l - 5 + d + 27*l - 20*l with respect to l.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h - h = 6*l - 19 - 5, -41 = -3*h - 7*l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6394?\nAnswer: 2, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 2555.261 to the nearest one hundred.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*v - 18*v - 10848. What is the units digit of 5\/((-30)\/v) + (-12)\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 47, 43, 39, 35, 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 60 is divided by 29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((32\/12)\/(48\/36))\/(-5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -32285 < -32282?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -40.9466629553 take away -0.1?\nAnswer: -40.8466629553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.17 + -0.002.\nAnswer: 0.168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -m**2*s**3 + 3*m**2*s**2 + m**2*s - 39165*m**2 + 3*m*s**3 - 16*m*s**2 + 43 wrt m?\nAnswer: -2*s**3 + 6*s**2 + 2*s - 78330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3294710 is divided by 19267?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from xnstx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = s**3 + 5*s**2 - 14*s - 21. What is the remainder when 105 is divided by m(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 479 + -476. Let z(l) = 11*l - 1. Let y be z(1). Let h be (2 - w) + -2 + y. Solve -2*b + 7*i = 4*i + 4, b = -3*i + h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -15 + 30. Calculate the greatest common divisor of c and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the second derivative of 7\/57*r**3 + 35 + 1\/114*r**4 + 10\/19*r**2 - r. Find s, given that q(s) = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2279.1 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 501*-13665.44\nAnswer: -6846385.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (24\/(-12))\/2*28\/49\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -27 - (62 - -33) - -194?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3 + 2 + 2)*(2*r**2 - r**2 - 3*r**2) + 123*r**2 - 90*r**2 - 72*r**2)*(-6101 + 205*r**2 + 6101).\nAnswer: -8405*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 51291229 divided by -11?\nAnswer: -4662839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = 5*d - 31, 1 = -2*d + 3*p + 8. Let c be 8*1 + (2 - 3). Let m be d\/(-28) - (-9)\/c. Solve 5*w - m = -6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -52*u**2 + 65*u - 65. Let t(v) = v**2 - v + 1. Calculate -o(i) - 65*t(i).\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 72200 is divided by 7219?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v - 11 = 5*j, 4*j = -4*v + 6*j + 14. What is the second derivative of v*z - 3*z - z - 7*z**2 - 3*z wrt z?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 84 + 118. Calculate the common denominator of 3838\/76*((-1)\/2 + 0) and 6\/4*r\/18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the third derivative of -n**5\/30 + 2*n**2. Let k(y) be the third derivative of 0*y**3 + 111 + y**2 - 107\/24*y**4 + 0*y. What is k(x(h))?\nAnswer: 214*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 18392 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -5*m**2 + 21*m + 1. Let b(t) = -29*t**2 + 8*t**2 + 9*t**2 - 5*t + 13*t**2. Calculate -9*b(p) - 2*f(p).\nAnswer: p**2 + 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -3164416 or -3164415?\nAnswer: -3164415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = -11\/27 + 1\/3. Let c be (0 - 0)\/(-10 + 14). Which is greater: c or f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 - ((-3 - 11) + 21) - 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 9 = 0, 2369 - 16703 = -3*k - 3*q. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2\/11, 2, 0.001, -2.8177, 4?\nAnswer: -2.8177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 1203*x - 132 = 1191*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zmmzammzzaawmqaqazaq. Give prob of picking 1 m and 1 q.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 7858100 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that -o**3\/6 - 17*o**2\/2 - 32*o - 94\/3 = 0.\nAnswer: -47, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put together 46703 and 1.201.\nAnswer: 46704.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.546436 centuries to millennia.\nAnswer: 0.0546436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6633883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -7*o**2 + 0 - 12*o**2 + o**3 + 3*o**2 - 1 - 13*o. Suppose 0*x - 44 = -2*m + 4*x, -5*x + 80 = 5*m. Is j(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 4, g: 1, k: 6, b: 2, c: 2, z: 2}. Give prob of picking 3 d.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -391 = -130*p + 93*p + 793 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 136132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p = p - 10. What is the remainder when (-122)\/366*(-2 - (-104)\/(-2)) is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 1089*5.4\nAnswer: 5880.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 14656 and 72?\nAnswer: 131904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 407 and 37.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1, -75124\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - 4*i = 5 - 13, 5*i = 4*c + 10. Sort c, 3, 30, 4.\nAnswer: c, 3, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -11\/21, 190.\nAnswer: -3, -11\/21, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, 12, 67 in descending order.\nAnswer: 67, 12, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = 173 - 163. Suppose -f*b + 133 = -3*b. What is the least common multiple of b and 3?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4*3\/(-18))\/((-7)\/(-3)). Is w greater than or equal to 2\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 5 + 55430?\nAnswer: 55435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = w + 14. Let u(d) = 2. Let v(o) = -14*u(o) + 2*y(o). Let k(n) = 9*n**2. Give v(k(l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 862575 is divided by 464.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*f**3 + 3*f**3 + 5*f**3)*(1 - 1 - 3*f + (-33*f + f - f)*(-2 + 2 - 3)).\nAnswer: 768*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -2\/11, 0.1, 72023, -0.3 in descending order.\nAnswer: 72023, 0.1, -2\/11, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s = 19*m - 15*m + 19, 5*m = 5*s + 20 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4190.\nAnswer: 2, 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 3960 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let 868*y**2 - 648*y - 220 = 0. Calculate y.\nAnswer: -55\/217, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = l**3 + 3*l**2 + 7*l + 11. Let p(d) = 2*d**3 - 16*d**2 + 11*d + 19. Let h be p(7). What is g(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 5*m**2 - m**2 - 5*m**2 - 9 + 0*m**2 - 10*m. Let p be -3 + -4 + 1 + -2. What is the units digit of s(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7726 = 16*y - 35294. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + 4 + -5 - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 65 (base 10) to base 7\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 120*c - 44*c = 52*c - 312 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 112788784 to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 278*g - 15*g - 274*g.\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = 11 - 6. Find the second derivative of -u*n - 6*n + 4*n + 6*n**4 wrt n.\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -y - 23. What is c(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 164667 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 18, 2, -3, 13 in decreasing order.\nAnswer: 18, 13, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 876565 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:59 AM and 9:56 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -3*p - 2. Let m(h) = h - 1. Suppose -4085 = 28*o - 3973. Determine o*m(s) - g(s).\nAnswer: -s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 120*n + 237. What is i(-3)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) be the second derivative of 2*u**3\/3 + 73*u + 4. Let p(w) = -w. Let g(a) = a**2 + 2*a. Let l(z) = -3*g(z) - 6*p(z). Calculate s(l(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -25, -5, 176, -2, 2585 in increasing order.\nAnswer: -25, -5, -2, 176, 2585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*y**4 - 4398*y**3 - 4910568*y**2 - 9803520*y = 0.\nAnswer: -740, -2, 0, 2208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or -4\/319?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 - 122 = -2*h. Is 22 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13 - (48000\/175)\/24.\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = q**3 + 92*q**2 + 2123*q + 316. Give p(-46).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1 + -23)*(-2)\/(-3). Let s be 0 + (4\/2 - d). Suppose 3*b - 39 + s = 0. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1 + 0)\/(5\/(-15)). Solve -o + x*b = 5, 0*b = -4*b + 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -9*y**3 + 3*y**3 + 2*y**3 - 2*y**2 + (-21*y**2 - 20*y**2 - 19*y**2)*(-1 + 1 + y) in the form a + t*y**2 + s*y**3 + j*y and give s.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 17\/2 of a millennium?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -7*f**4 - 18424228*f**3 - 406560697*f wrt f?\nAnswer: -84*f**2 - 110545368*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -50 + (42 - 46) + 48?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -7, 0, 7, 14, 21, 28?\n\"Answer: 7*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 257 minutes after 1:39 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: What comes next: 1082, 2171, 3252, 4319, 5366, 6387, 7376?\nAnswer: 8327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -h**2 - 7*h - 13. Let f be q(-6). Let y = 41 + f. Calculate the remainder when y is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -160 divided by -1117.\nAnswer: 160\/1117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -3*n**2. Let x(w) = w**2 + 8*w**2 - 19*w**2 + w**2. Give x(r(f)).\nAnswer: -81*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -26, -7976, 2, 3 in increasing order.\nAnswer: -7976, -26, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 99703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*o - o + 24. Let q = 36 - o. Solve 5*v - v + 5*f + q = 0, -3*f + 9 = -3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand w**3 + 0*w**3 - 2*w**3 + (-17 + 17 + 11*w)*(7*w**2 - 3*w**2 + 5*w**2 + (w - 3*w + w)*(4 - 2*w - 4)).\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 15*p - 9 - 36. Solve 5*b = -0*a + p*a + 2, 5*b - 6 = 4*a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5 + 12. Let b be 14 + -1 + 2\/2. Let n = b - q. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (12312\/16)\/3*4\/(-6) + -3. Which is smaller: r or -168?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) be the first derivative of -3*y**5\/20 + 5*y**4\/8 + y**3 + 4*y**2 - 8. Let o(r) be the second derivative of n(r). Factor o(v).\nAnswer: -3*(v - 2)*(3*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 8 divided by -1675\nAnswer: -8\/1675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -a**2 + 2*a**2 - 4*a**2 + 0*a**2 + 26*a**3 to n + r*a**3 + f*a + d*a**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of (33\/(-9))\/(3\/(-108))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*z + 2*z - 63. Solve b + 9 = 5*i, 3*b = -0*b - 2*i + z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 593246?\nAnswer: 2, 191, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 953?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 33 + -60516?\nAnswer: -60453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 2*l**3 - 16*l**2 - 86*l - 121. What is n(12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -4 * -0.14\nAnswer: 0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1 + -14. Let i = 26 + b. Let l = 9 - i. Put 2, l, 4 in descending order.\nAnswer: 4, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -d**2 + 17*d - 42. Let m be h(18). Let a = 63 + m. Let w = 20 + -13. Solve 0 = 5*f + x + w, -a*f - 4*x = 3 + 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-7*c + 5*c + 8*c)*(-4 + 0 + 0) to the form k + o*c and give o.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b**5\/5 - 464*b**4\/5 - 2892*b**3\/5 + 18224*b**2\/5 + 83536*b\/5 - 41856 = 0. Calculate b.\nAnswer: -109, -8, -6, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 243, 994, 2241, 3978, 6199, 8898, 12069, 15706?\n\"Answer: -o**3 + 254*o**2 - 4*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 12933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 78422.\nAnswer: 2, 113, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = f - 36, l - 3*l = -2*f + 66. Suppose -2*j = -2*p - 0*j + 20, 5*j = -p + f. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -11039 (base 10) to base 15.\nAnswer: -340e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is w in -1\/2*w + 7*w**2 - w**5 + 23\/4*w**4 - 21\/2*w**3 - 3\/4 = 0?\nAnswer: -1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -144*c + 86*c + 348 = 0. Sort -2, 2, -4, -17, c in increasing order.\nAnswer: -17, -4, -2, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) be the second derivative of -s**6\/360 - s**5\/30 + 45*s**4\/2 + 6*s + 15. Let p(c) be the third derivative of n(c). Determine p(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 3*c - 2 + 1)*(1 - 9*c - 1).\nAnswer: 27*c**2 + 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l be -8 + 6\/36*66. Which is the biggest value? (a) l (b) 19.5 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(-1*sqrt(209) + sqrt(209)))\/(-2*sqrt(176)) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -118*i**3 + 6941*i + 17485830?\nAnswer: -354*i**2 + 6941","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of -181 - -163 - (-350)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -21 + 24. Put 2, -3, -4, h in decreasing order.\nAnswer: h, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(2\/13)\/(q\/(q*q\/(q\/q**(3\/7)))))**(-2\/37)*(q*q**0\/q*q)**(-2\/55)*(q*q**6)\/q**(-5) assuming q is positive.\nAnswer: q**(2209656\/185185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k*k**(-3\/17))\/k**(-4\/3))**28)**(5\/2) assuming k is positive.\nAnswer: k**(7700\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 88163, 704102, 2375927, 5631578, 10998995, 19006118, 30180887, 45051242?\nAnswer: 64145123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = d - 7. Let c be u(6). Let l be 12\/3 - c\/1. Suppose 17 = l*b + 7. Solve 2*q - j = 3, -b*j = 3 - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -559*k + 2. Let f be l(0). Let x be (-5)\/2 - 3\/(-2). Which is the closest to -0.1? (a) -6 (b) f (c) x (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -25\/32788 and 19\/1419252?\nAnswer: 9934764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -2349*a + 2. Let u(n) = -7050*n + 6. Determine -6*u(z) + 19*w(z).\nAnswer: -2331*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = v**3 - 15*v**2 - 8*v + 21. Let g be b(8). Let z = g - -1408\/3. Is z > -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be -502*3\/(-3) - 2. Let t(k) = 2*k**2 - 49*k + 174. Let n be t(4). Calculate the highest common divisor of n and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -152688 divided by 19086\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 72 and 288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -74, -459, -1504, -3539, -6894, -11899?\n\"Answer: -55*h**3 - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 480\/889 + 4\/127. Factor 2\/7*u - 2\/7*u**3 + o*u**2 - 4\/7.\nAnswer: -2*(u - 2)*(u - 1)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 + (-1694)\/238 - ((-11046)\/(-1190) + -3 - 6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is z in 2*z**3\/5 - 272754*z**2\/5 - 545514*z\/5 - 272758\/5 = 0?\nAnswer: -1, 136379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 177 divided by -98.\nAnswer: -177\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/(-6)*3)\/(3\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -92342 and 0.5?\nAnswer: 92342.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1750\/(-70))\/(((-24)\/36)\/(((-8)\/(-3))\/4))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 159410913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 22*v - 19*v. Put -1, v, -5, -2 in increasing order.\nAnswer: -5, -2, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -13 - -14 - 2\/(-1). Suppose -4*q = y - 3 + 16, -13 = -q + k*y. Let m be (4\/q)\/((-6)\/9). Put 4, -3, m in increasing order.\nAnswer: -3, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 - 5 + 3)*(-3*x + 3*x + x)*(2*x**2 + 0*x**2 + 0*x**2) in the form q*x**2 + s + t*x**3 + u*x and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*w - 12 = 8*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*m**2 - 2 + 2)*(5*m + m + 3*m)*(-2 - m + 2)*(1 + 2 + 5).\nAnswer: -216*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4991 is divided by 381?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 652 minutes before 5:28 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 20*z**2 + 357*z + 1517. Give s(-12).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = -63 - -63. What is the biggest value in m, 5, 2, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sbe when three letters picked without replacement from {e: 6, s: 1, b: 3, l: 5}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -1 + ((-162)\/(-42))\/3 + 3860875\/35 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 4, 1, -4, 249 in descending order.\nAnswer: 249, 4, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -h**3 - 4*h**2 + h + 8. Let f(g) = g**3 + 5*g**2 - g - 9. Determine 5*f(q) + 6*w(q).\nAnswer: -q**3 + q**2 + q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 6656 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.1615 - -0.0715. Let f = -62 - -65. Which is the closest to -4? (a) y (b) -0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yue when three letters picked without replacement from ldldedylludddde?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4797165 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence li when two letters picked without replacement from {l: 5, g: 7, i: 1}.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -942*l + 100792. Give a(107).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 62 divided by -413?\nAnswer: -62\/413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 13 = 3*y, 0 = -5*s - 0*y + 3*y - 29. Let p(h) = h**3 + 5*h**2 + 4*h + 5. Let k be p(s). Solve -3*t - 1 = 4*z, -2*z - 15 + 8 = -k*t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - (4 - -2)) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3077 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -19*51763080\nAnswer: -983498520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y be 7\/(-28) + 2\/8. Let k = 265 - 165. Is 3*k\/12 + y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 351 = -2*j + 3*j, 1061 = -3*j - u. Let g = -179 - j. What is the greatest common factor of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.7 + 0.8. Let y be -4*2*(-2)\/8. Let m be 6\/(-9) - y\/3. What is the closest to l in m, -5, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify j*j\/j**(5\/3)*j\/j**(-5\/3)*(j**(-2\/3)*j)**(-3\/10)*(j**1)**(-32)*j**(1\/4)*j\/j**(-1\/4) assuming j is positive.\nAnswer: j**(-138\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 23, 9, -5, 294 in descending order.\nAnswer: 294, 23, 9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 453 and 33.\nAnswer: 4983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 4*h**2 - 5*h - 8. Let j(d) = d**2 + 5*d - 2. Let x be j(-4). Let u be b(x). Let a = -83 + u. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 37544 to the power of 1\/2, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0 + 1. Let p be (0 + u)\/3 + -1. Let z = 0.024 - -0.076. Which is bigger: p or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -6*o + 19. Is i(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 610*((-861)\/(-70) - 12). Solve 40*x = -21*x + s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) be the second derivative of 9*j**3\/2 - j**2\/2 - 9*j. Is g(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*q**1\/q)**39)**(-2\/13) assuming q is positive.\nAnswer: q**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1164916162?\nAnswer: 2, 17971, 32411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1020200 - -10100202?\nAnswer: 2010002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = q + 3*q. Are -3\/2 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.1275 (b) 1\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 2*p**2 - 66*p - 328. Give q(39).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -x**2\/2 + 49*x\/2 + 165.\nAnswer: -(x - 55)*(x + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-k + 0*k - k)*(-6*k + k - 6*k)*(0*k + 0*k + 2*k**2 + (0*k**2 - 3*k**2 + 0*k**2)*(-2 - 4 + 1) - 2*k**2 - k**2 + 5*k**2).\nAnswer: 418*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4908162 = -273*c + 315*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-9 - 1)*(-12)\/30. Let y be (-9 + 60\/6)*(-6)\/2. Let k be 6*(-3 - (40\/y)\/4). Solve -2*i + 5*l = 11 + d, -10 = -k*l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7056*h**2 + 4611*h**2 + 6468*h**2 - 12904*h**2.\nAnswer: 5231*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -5 (b) -1\/14 (c) 19 (d) 10 (e) -2\/7 (f) -5\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -19.955 + -0.045. Let g = w - -20.1. Let h be (12\/8)\/(-3) - 1. What is the closest to g in 0.3, -1\/2, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fnrffrfbnfrllnfn. Give prob of picking 2 f and 1 l.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 5235026 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 196137 divided by -5301.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 d and 1 t when four letters picked without replacement from {t: 2, x: 2, d: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -67\/16 and -13\/92908?\nAnswer: 371632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 326710 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (13\/3 - -1)*120\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from aaaaaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve k = -6*k - 21 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let -f**4\/6 + 6*f**3 - 53*f**2\/6 - 85*f = 0. What is f?\nAnswer: -3, 0, 5, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 47 divide 5593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express (0*t + t - 2*t)*(3 + 1 - 2) - t - 3*t - t + (-4*t + 4*t - 2*t)*(4 + 20 + 6 + 2 - 1 - 3 + (-6 + 2 + 2)*(1 + 2 - 1) - 4 + 4 + 2) as x + h*t and give h.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2606 - 5?\nAnswer: -260b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Subtract 5501 from 80.45.\nAnswer: -5420.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 245*f + 238*f - 480*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*l**3 - 12*l**3 - 7*l - 18*l + 54*l - 29*l + 4*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = x**3 + 3*x**2 - x - 1. Let l be u(1). Suppose -c + l*c - 22 = 0. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w + 5*g = -10, 12*w + 14 = 9*w - g for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -8 - -20. Let f be 1 + (-15)\/j + (-191)\/4. Let d = f - -48. Solve -4 = -v - d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 42\/8 - 55\/44. Factor -26*b**4 + 27*b**4 - 40*b - b**5 + 70*b - y*b**2 - 38*b + 6*b**3.\nAnswer: -b*(b - 2)**2*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5 + 9. What is the third derivative of 3 + s*y**2 - 4*y**3 - 6 + 3 wrt y?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n = -f - 1599, -644*f + 641*f = 4*n - 1587. Is n a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2 = 2*d, -2*y + 18350*d + 3 = 18353*d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2)\/(-4 - -2) + 13. Suppose 0 = 3*i - 3*l + 5*l - f, -4*i + 4*l + 52 = 0. Solve 2*t + i = 4*t + 3*m, 4*m = -3*t + 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 + 1484\/3*t + 1\/3*t**2 = 0.\nAnswer: -1484, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1*0\/4 + 2. Solve -q*j = 4*u, 0 = 2*u - 3*j + j + 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 53840 is divided by 10755?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose g = 2*g - 2*j + 3, -40 = -4*g - 5*j. Suppose g*i = i - 2*b + 2, 4*b = -4*i - 8. Suppose -96 = -f - i*f. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -236*g + 252*g + 32 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 5506*a - 5506*a - 3362*a**2 as k*a + y + m*a**2 and give m.\nAnswer: -3362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -32\/6959477 and -3\/304997?\nAnswer: 76554247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(684) + (sqrt(684) - sqrt(684)*-2)*-6 + sqrt(684))\/sqrt(12))\/(6*(sqrt(12)\/sqrt(4) + sqrt(3))*4)*-2.\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:37 AM and 9:08 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = 8 + -4. Let s = -237.7 + 242. Let t = g - s. Which is the nearest to 0? (a) t (b) 0.4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -48, 1, 5, -1 in descending order.\nAnswer: 5, 1, -1, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -984, -4223, -9720, -17475, -27488, -39759?\nAnswer: -54288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2\/7 - 1\/((-21)\/204). Let w be ((3 + 21)\/2)\/(75\/z). Factor 16\/5*h**2 + w*h + 0 - 2*h**3.\nAnswer: -2*h*(h - 2)*(5*h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-210)\/(-1575)*(-3)\/(-2)*1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*c - 4*c - 18*c**3 - 626*c**2 + 628*c**2)*(4*c - 5*c + 3*c).\nAnswer: -36*c**4 + 4*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v - 5*v = -5. Does 19 divide v\/(0 + 1)*73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 286 and 559?\nAnswer: 12298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8278*y + 16562*y + 2*y**3 - 8333*y.\nAnswer: 2*y**3 - 49*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b - 22 = -4*q, b = q - b - 7. What is the closest to -0.45 in q, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -z. Let n(r) = -9560*r. Determine v(n(d)).\nAnswer: 9560*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 1531 = 680*u + 11731 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -230.8 less than -6871?\nAnswer: -6640.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = 662 + -659. Solve -5*t - s*g + 4 = 0, -2*t + 0*g + 5*g - 17 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 - p**3)*(-p - p + 3*p) + (2*p**4 - p + p)*(-1 + 0 + 0) + p**4 + p**4 - 5*p**4.\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sum -3.199947 and 1245.141.\nAnswer: 1241.941053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1.7 - -0.2. Let o = -1.5 - i. Let g be (3\/7)\/(20\/140). What is the closest to o in 2\/15, -2, g?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = -2*q + 54, -2*q + 170*g + 75 = 175*g. Solve 172*t - 168*t = q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0758 to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 728 is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1064*i**3*s**2 - i**3*s - 14*i**3 - 7*i**2*s - 4*i*s**2 + 301*i*s wrt i?\nAnswer: 6384*s**2 - 6*s - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 155 and 2813560.\nAnswer: 2813560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 0.18 - 602834\nAnswer: -602833.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 201 (base 5) to base 13\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 65150609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert -28 (base 9) to base 16.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*a + 6*a - 5*a + (3 + 0 - 4)*(0*a + a - 2*a) + (-2*a + a - a)*(-1 - 4 + 3) + 2*a - 2*a - a + (0 - 5 + 3)*(3*a - 3*a + 3*a) - 5*a - 4*a + 3*a.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 47 and 553519?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -173 + 52 = -11*g. Find the common denominator of -57\/10 and (-19 - -9) + 12 + (-61)\/g.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 243*j + 11424. Let y be b(-47). Solve 0 = -2*w - y*p + 2*p - 2, -p = 4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -73\/10422 and 37\/28950.\nAnswer: 260550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 4\/13 (b) -4 (c) 3 (d) -6\/49 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -1820 divided by 26\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-5 + 524\/(-6))*(-1 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 4) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2\/7593 + 22789\/37965. Which is the nearest to 4? (a) 0.3 (b) -7\/5 (c) l (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2172 or 2165?\nAnswer: 2172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 0.1 * 17.1\nAnswer: 1.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**7\/(t\/((t\/((t\/(t\/(t**1*t)))\/t))\/t))*(t*t**7*t*t)\/t*t**(-3\/5)*t assuming t is positive.\nAnswer: t**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 804*i - 823*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -6712, 14, 3, -11 in descending order.\nAnswer: 14, 3, -11, -6712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 95391.98 millennia to decades.\nAnswer: 9539198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -101*v - 599 = 377 + 842 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -d81e (base 16) to base 14\nAnswer: -1623c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -260*s + 266*s = 84. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 37 divided by -1096883.\nAnswer: -37\/1096883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 161*s - 179*s = -90. Solve -3*z = -4*x + 2, 2*z - 5*x = s - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 74551 is divided by 228?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = 37 + -22. Solve 0 = 3*p - 0*p - l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-21)\/(f**(-2\/159)\/f)*(f**(-43))**(-4\/11))**(-4\/7) assuming f is positive.\nAnswer: f**(30440\/12243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ydd when three letters picked without replacement from {d: 6, y: 3, z: 4}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aiquukp. Give prob of sequence ak.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 68710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n = 0, 3*i = 4*n - 3*n. Suppose z + i*z - 5 = 0. Solve v - 6*v = 2*h + 4, -4*h - 8 = -z*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 2*b. Let y(g) = 216*g**2 + 31*g. What is c(y(o))?\nAnswer: 432*o**2 + 62*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 3808667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1.2 in -1, -3\/2, -474, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 14 + -11. Solve k - 2*f + 0 = h, 14 = -4*k - 5*f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 9708 - 9692. Calculate the remainder when 376 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -5, -6, 3, -13, -22 in descending order.\nAnswer: 4, 3, -5, -6, -13, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1801470543 a multiple of 4775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 62316 + 0?\nAnswer: 62316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1120392?\nAnswer: 2, 3, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 18 (b) -0.11 (c) -7 (d) -2\/15 (e) -1243 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = c - 2. Let h be 1\/(8\/(-4))*-8. Let s be n(h). Suppose 56 = 4*i - s*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*a**5 + 2*a**5 + 0*a**5)*(10 - 324 - 185).\nAnswer: 499*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -5*j**3 - j**2 - j. Let r be f(-1). Suppose -r*m - 71 - 124 = 0. Let t = m - -56. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) be the second derivative of -h**7\/280 - h**6\/60 + h**5\/40 + h**4\/4 - h**3\/2 + 6*h. Let d(v) be the second derivative of u(v). Factor d(t).\nAnswer: -3*(t - 1)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 2*k - 75*r + 71*r, -5*k - 5*r = -15. Solve k = -y - 2*d + 1, 2*d = 3*y + 5 - 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22652618 to the power of 1\/2, to the nearest integer?\nAnswer: 4759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 19711 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -51*q - 38 = -481 - 16 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(1\/2))**8*(h\/(h\/h**(-1)*h*h)*h)**(-22\/9) assuming h is positive.\nAnswer: h**(80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 66 (base 11) to base 6.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.6 + 0.2. Let i = -3.5 + -0.5. What is the second smallest value in i, -2\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c, 1 w, and 1 m when four letters picked without replacement from {e: 3, y: 2, c: 4, w: 4, m: 3, g: 2}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -615.36821 rounded to the nearest 10?\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -c**3 + 7*c**2 - 16*c + 32. Let i be h(5). Let l be 1*(-1)\/(-1) - -1. Let q(m) = -m**2 + m**i - l*m**2. Let b(o) = -2*o. Calculate b(q(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = w**2. Suppose 0*v = v. Let a(q) be the second derivative of -2*q + 0*q**2 + 0 + 1\/6*q**4 + v*q**3. Give j(a(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 1.53737 to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 107.037577 rounded to 2 decimal places?\nAnswer: 107.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = 29.5845 + 0.1155. Let g = 23.9 - -6.1. Let c = g - h. Round c to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 6 = 3*w, -2*w + 5 = -5*v + 1. Suppose c - 5*i - 14 = 0, -3*c + 0*i + 3*i = -18. What is the remainder when w is divided by c - 2*(3 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -303 divided by 3.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 661511744 and 744200712.\nAnswer: 5953605696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*t - 4*d = 0, t - d + 12 = d for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (-29*h + 16*h + 14*h)*(9*h + 4 - 9*h + h**2) in the form o*h**2 + l + z*h**3 + a*h and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-1\/23)\/f**(-2\/15))\/(f**(-17)\/f**(-3\/13)) assuming f is positive.\nAnswer: f**(75613\/4485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 80, 91, 118, 167, 244?\n\"Answer: o**3 + 2*o**2 - 2*o + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = o - 9. Let y be j(11). What is the units digit of y\/(0 + (-6)\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 2b51 + -5?\nAnswer: 2b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - 6 = -3*p, -32*p = 4*k - 29*p - 36. Let v(o) = o**3 - 7*o**2 + 9*o - 8. What is v(k)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/(((f*f**(-1)\/f*f)\/f*f)\/f)*f)**(1\/19)*(f**(-8\/11)\/f)\/(f\/(f**(-3\/4)\/f)) assuming f is positive.\nAnswer: f**(-3611\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = -30 + 18. Let k be (-46)\/(-12) + (-2)\/j. Suppose -h - k*h - 11 = n, -4*h = -2*n + 6. Which is bigger: n or -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*y = 167 + 601. Suppose -135 = -5*g - 5*i, -3*i - y = -5*g + 23. List the prime factors of g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -44*c**2 + 4108*c - 19440 = 0.\nAnswer: 5, 972\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1492683 is divided by 14779?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (-736 + 752 - (1 + 0)) + 7\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -109, -114, -123, -136, -153, -174, -199?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b + 3*a - 13 = 0, -5*b + a = -0*b - 7. Suppose 2*t = -b*t + 260. What are the prime factors of t?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12900 is divided by 717.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1264, 1236, 1192, 1132, 1056, 964, 856?\nAnswer: 732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -24*l**3 + 11*l**2 + 34*l + 8. Let p be q(-4). Suppose 5*a - 16*a + p = 0. Which is smaller: a or 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:18 PM and 8:35 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -87372 - 74838 = -81*p - 1823277. What is p rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -5 - 378a?\nAnswer: -3794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 275*g**3 + 2*g**2 + 7*g + 84. List the prime factors of a(6).\nAnswer: 2, 3, 7, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6913643\/292701 - (4\/(-6) + 800\/1290).\nAnswer: 71\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -115*p - 64. Give m(2).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.416646mm to nanometers.\nAnswer: 2416646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y = -6 + 15. Suppose 4*u - 1 = y*u. Let g be 2\/(-2)*2*u. What is the nearest to 2\/3 in g, 2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 35 + 615?\nAnswer: 64a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 0 - 4 = -x, y - 12 = -3*x. Find the second derivative of 2 + y + 95047*o - 95065*o + 56*o**4 wrt o.\nAnswer: 672*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 244 minutes after 11:19 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -145*h**2 + 48*h**2 + 50*h**2 + 51*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -5650392 divided by -41547\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (2\/(-8)*-1)\/(42\/24)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0\/((-37)\/(851\/(-69)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-10)\/4)\/(3\/(-6)). Solve -2*q = 4*z - 1 + u, 0 = -5*z + q - 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -774.88988123 - -724.8898798. Let s = a - -50. What is s rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 2, s: 4, y: 3}. What is prob of picking 2 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 30 divide (-422)\/(-7) - (-102)\/(-357)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000068121 rounded to 6 decimal places?\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1004 a factor of 3170094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by -1070100?\nAnswer: -1\/356700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 291 + -293 - (1 - 2 - -7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -572*u - 6289. What is v(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 2*c + 73. Calculate r(-39).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35*u - 114 = 16*u. Let j(x) = -x. Let n(c) = c - 2. Let l(t) = -4*j(t) - n(t). Calculate l(u).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -9*i**4 - 51*i**3 - 24*i**2 + 15*i - 3. Let k(y) = 11*y**4 + 52*y**3 + 23*y**2 - 16*y + 2. Let p(d) = 3*k(d) + 2*w(d). Find z such that p(z) = 0.\nAnswer: -3, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 + 3 + 8 + (-27 - -21)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r - 4 = 3*z, 5*z + 359 = 344 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -15*u - 7. Is o(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.89 and 0.09.\nAnswer: 0.0801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 1658229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 12, -2\/5, 379, 0.\nAnswer: -2\/5, 0, 12, 379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = 15 - 48. Let c be g\/(-6) - 2\/4. What is the second derivative of 2*r**c - r + 4*r - 5*r wrt r?\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (117\/(-13) - -5) + 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -39 - -14. Let y be -5*(-4 - 35\/h). Let s = -1 - -11. Solve 3*j + i = -y, -5*j = -s*j + 5*i + 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = 88*u + 6164. Let n be g(-70). Let z = 8 - 3. Suppose -3*o - n*a + 42 = 0, 2*o - 21 = -0*o - z*a. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -79*w**6 + w**2 - 29 wrt w?\nAnswer: -9480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 21, 42, 85, 156, 261, 406, 597, 840?\n\"Answer: r**3 + 5*r**2 - r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 63, 1, 10, -4, -43, -6 in descending order.\nAnswer: 63, 10, 1, -4, -6, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 2112211110222 (base 3) to base 2\nAnswer: 101001010110001010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 474 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6149?\nAnswer: 11, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bwwuwbwwbbbbzxbzw. Give prob of sequence zz.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2741006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2\/155 - 384\/5735. Let a = -35.8 - -36. Let t = -0.663 + 0.363. What is the third biggest value in a, t, -3, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -u**3 - 27*u**2 - 49*u - 26. Determine m(-25).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -232 (base 5) to base 6\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -777, -796, -825, -870, -937?\nAnswer: -1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.3 (b) -368438 (c) 5\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1685589*g**5 - 20*g**4 + 16357*g**2 + 6*g + 3 wrt g?\nAnswer: 101135340*g**2 - 480*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.1 - -0.1. Let k = -1.3 - -0.3. Let b = k + 1. Is f smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 37 and 6956?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -211 - -303. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 63918?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -75, -150, -225, -300?\nAnswer: -375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -126 + 159. What is the lowest common multiple of 21 and r?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p - 2*x - 15 = 3*x, 0 = 4*p + x - 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -12875 + -1?\nAnswer: -12876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) be the third derivative of 29*l**6\/120 - l**5\/3 + 3*l**4\/4 - l**3\/2 - 8*l**2. Let w be t(17). What is w rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 71.00932ml in litres?\nAnswer: 0.07100932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -109\/3318 and -95\/4266.\nAnswer: 29862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 103708.\nAnswer: 2, 11, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 77*h**2 - 42*h + 42. Suppose -8*d + 56 = 96. Let o(z) = -9*z**2 + 5*z - 5. Let t(x) = d*j(x) - 42*o(x). Let f(a) = 6*a**2. Determine f(t(b)).\nAnswer: 294*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 3*v + 0*v + 0*v. Let k(w) = -w**2 + w. Let c(u) = 6*u**2 - 4*u. Let f(d) = c(d) + 4*k(d). Determine h(f(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 1 + 47 = j, -2*j = -16. Suppose -5*n + 26 = 4*w, 0*w + 3*w = -3*n + 18. Solve f*m = w*m - 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-6)\/(q\/q**(-2\/11)*q))**44\/(q\/(((q*q**(-6)*q)\/q)\/q)*q*q*q**6)**7 assuming q is positive.\nAnswer: q**(-465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1584 - 1587. Sort 4, -1, t, 0.2 in decreasing order.\nAnswer: 4, 0.2, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 60 and 21236730.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u be (3\/2)\/(9\/84). Let a be 4\/u + (-26)\/(-7). Let x(t) = -t**3 - a - 3*t + 3*t + 4*t**2. Let g(m) = 3*m**3 - 11*m**2 + 11. Calculate -4*g(k) - 11*x(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 19, 2, -3, -0.1?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -60ef (base 16) in base 3?\nAnswer: -1021001002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -254\/165 - 18\/55. Let j = 7652 + -321365\/42. Find the common denominator of r and j.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -3*l**3 - 9*l**2 + l - 11. Calculate b(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y = 9\/22 - 10\/11. Suppose -2 - 13 = -5*l. Suppose 0 = -w - 4, -z - 3*w - 24 = 2*w. Which is the third biggest value? (a) y (b) z (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 90758, 181535, 272326, 363137, 453974, 544843, 635750?\nAnswer: 726701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 113121, 113119, 113117, 113115?\nAnswer: 113113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (58752\/(-255))\/64 - 1.\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 53783514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 219*z**2 - 3*z + 6 + 89 - 4*z + 3*z + 3*z wrt z?\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = d + 1. Suppose 0*t = -d*t + 85. Calculate the remainder when t is divided by (-2 + (-3)\/(-2))*-12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3408 - -3400. Let y(c) = 11*c + 79. What is y(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 3\/21 - 2238\/(-14). What is the greatest common factor of b and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46995 at least 47631?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1080 = 31*y + 89*y. What is the remainder when 42 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 0.3365191 weeks?\nAnswer: 203526751680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.3 (b) 46.59 (c) 0.95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 37 = -x, -2*x + 124 = -0*x + 4*k. Suppose -2*p + 90 = 3*p. What is the remainder when x is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3956144341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = g**2 + 4*g - 7. Let m be d(-6). Let c = 4 - 1. Put m, c, 4 in increasing order.\nAnswer: c, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) be the second derivative of -f**10\/15120 + f**6\/360 + f**4\/3 - 3*f. Let a(t) be the third derivative of m(t). Find the second derivative of a(k) wrt k.\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*w + 2*g = 13*w - 6, -3*g = 3*w - 21 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*u + 33 = -13. Suppose 0 = -5*n - 20, -x = 2*n - 31. Suppose -18 - 4*m**4 + x*m + m**4 + 2*m**4 + 9*m**3 - 29*m**u = 0. What is m?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2754370770.\nAnswer: 2, 3, 5, 17, 31, 83, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -3*y**2 - 9*y - 26. Give d(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x + 3*s + 16 = 14, -3*s - 18 = -3*x. Solve 3*j + 2*p = 3*p - 9, x*j + 6 = 4*p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11461 + 5844 + 6*y**2 - y**2 + 7*y**2 + 5617.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3619.6 and -34?\nAnswer: -123066.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -h + 2. Let s(x) = -77*x - 208. Let n(k) = 4*k + 11. Let g(v) = 38*n(v) + 2*s(v). Calculate 4*g(m) - 3*i(m).\nAnswer: -5*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 280 = 2*l. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 13*l + 1. Give b(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(0 + sqrt(931)).\nAnswer: 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p = -69.584572 + 30485953.084572. Let q = -30485896.4999993 + p. Let t = 13 + q. What is t rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 293 + 317. Suppose -k + a = 2*z, 3*z - k = 2*z + 299. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 48 = -0*z + 3*z, 36 = 3*c + 3*z. Suppose -5*y = 2*d - 26, 3*y + 3*d = 4*y + 5. Let b be (-3)\/1 + y + c. Solve -3 = 5*i - b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 5*a**2 - 110*a. What is s(22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -22\/7 (b) -1\/4 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*l + 81*l - 66*l - 5*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -63089 divided by 13.\nAnswer: -4853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = z**3 + 9*z**2 + 1. Let d(q) = 3*q**3 + 4*q**2 + 2*q + 5. Calculate d(l) - x(l).\nAnswer: 2*l**3 - 5*l**2 + 2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -13*n**2 + 22*n - 3. Let q(s) = 13*s. Calculate q(b(i)).\nAnswer: -169*i**2 + 286*i - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Do 0.2 and 211\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 17685907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 47, 60, 71, 80?\n\"Answer: -t**2 + 16*t + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-482)\/54 + (27\/(-12))\/((-38)\/152). What is the second biggest value in o, 4.5, 13?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - d - 2 = -2*d, 2*d = 4. Suppose g*c - 7 = c. Let z(r) = -r**3 - 8*r**2 - 8*r + 5. Let u be z(c). What is the greatest common factor of u and 120?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 3*h. Let o(k) be the second derivative of -5*k**3\/6 - 5*k. Give o(b(r)).\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = -22.665 - -16.665. Let q = -46.75 - -47. Which is the second biggest value? (a) 0.2 (b) q (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 2*y**3 + 8*y**2 - 2*y + 1. Let n(o) = -2*o**2 + o. Calculate -a(t) + 2*n(t).\nAnswer: -2*t**3 - 12*t**2 + 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -d**2 - 758*d + 60697. Determine y(73).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide 1955 by -30.\nAnswer: -391\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000113449939 rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 312790510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) be the first derivative of -5*o**4\/48 - 5*o**3\/12 - 10*o + 8. Let k(w) be the first derivative of g(w). Factor k(q).\nAnswer: -5*q*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(9)\/sqrt(3) - sqrt(3))*5*5 + (sqrt(12)\/sqrt(4) + sqrt(3))*2 + sqrt(3) + -2.\nAnswer: -2 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 25? (a) -1\/8 (b) -1 (c) 0 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4 + -3433?\nAnswer: -3426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -38*k = -36*k - 4*p + 18, 0 = -5*k + 4*p - 21 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -1.038875417 rounded to four decimal places?\nAnswer: -1.0389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide -2055165 by 97865.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 12*k. Let h(j) = -57720*j. What is -2*h(i) - 9768*t(i)?\nAnswer: -1776*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 1\/6*-1*4*113\/(20566\/14469)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -3*b + 2. Let j(l) = -4*l + 3. Let c(a) = 4*j(a) - 6*m(a). What is c(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 0*f - 16*f + 0 + 7. Let g(s) = -4*s**3 - 87*s**2 + 13*s - 193. Let t be g(-22). Let j(m) = -8*m + 4. Let o(p) = t*j(p) - 2*k(p). What is o(4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 59.6, -4, -2\/7, 1\/16, 2, 222?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qqoomoq. Give prob of picking 3 o and 1 q.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/4 - (-978)\/12*-1. Let l = -77 - n. Let t(w) = -9 + 4*w - 5*w**2 + l*w**2 - 14*w. Give t(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -2*j**2 - 2*j + 547. What is the hundreds digit of a(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -11131 + -512?\nAnswer: -11643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 356.28 to the nearest ten.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (-34 - -65) + -33 - (-27 - (4 - 2 - 3))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 3 (b) -1129 (c) 4\/3 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.001740713 rounded to six decimal places?\nAnswer: -0.001741","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 109393278*d**2*t + 34174899*d**2 wrt t?\nAnswer: 109393278*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -261706451 + -2?\nAnswer: -261706453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*j = -21*j - 5*m + 50, m - 3 = 0. What is the highest common divisor of 1267 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45*z - 31 = -4*f + 42*z, 0 = 3*f - z - 7. Which is the fifth smallest value? (a) 9 (b) 5 (c) f (d) 3 (e) -26.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = -2*o - 18. Let b = o + 19. Suppose -3*i = i. Which is greater: b or i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.4 (b) -54 (c) 300\/1981\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + -6 - (54 + -36 + -4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = u. Let a be (18\/36)\/((-1)\/(-2)). Give h(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -3.5304291 and -5?\nAnswer: 17.6521455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -221 = -2*b - 5*p, 0 = -0*b - 2*b - 4*p + 224. Calculate the greatest common factor of 826 and b.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -21 + 29 + (50 - 61) + 0 + 107.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = 4*z + 107. Which is bigger: -59\/2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*h = 7*h - 1136. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (129\/6 - -3)\/(6\/(-228)). Is r at most as big as -930?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 904100 is divided by 543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = -26 + 29. Let n(t) = 16*t**3 + 2 - 8*t**3 + 3*t**2 - 13*t**a. Let g(b) = 9*b**3 - 5*b**2 - 3. Determine 4*g(c) + 7*n(c).\nAnswer: c**3 + c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x be -1*1 - (277 - 9). What is x rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -l**3 + 4*l**2 + 4*l + 6. Let z be t(5). Suppose 15 + z = -2*b. What is the common denominator of -51\/10 and b\/34*(-114)\/16?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 409350589, 409350593, 409350599, 409350607, 409350617?\n\"Answer: k**2 + k + 409350587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -206631980 + -227.2.\nAnswer: -206632207.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -246, -493, -730, -951, -1150, -1321?\n\"Answer: m**3 - m**2 - 251*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -7*x**2 + 11*x + 2. Let r(h) = -15*h**2 + 23*h + 5. Let v(z) = 13*d(z) - 6*r(z). Let m be v(3). List the prime factors of (-6)\/4*(m - 6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 212 divide 683416683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = 21.159 + -21.3. Which is the second smallest value? (a) 2 (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-8)\/322)\/(28870\/(-101045))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 16376 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: Let t be ((-8)\/(-3))\/((-18)\/(-27)). Suppose -5*o - 2*n = -6*n - 10, o - 2 = t*n. Solve 7 - o = -5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2\/19 (b) -4\/7 (c) -0.3 (d) -5 (e) 2467\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -90*m + 6. Let a be w(-5). Let o(l) = l**2 + 2 - 449*l**3 - 2*l - 2*l + a*l**3. Is 9 a factor of o(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 362333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 39162 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 112*p**3 - 49*p**3 - 3 - 6*p - 60*p**3 + p**4 - 2*p**2 + p**4 + 5*p to the form g*p**3 + q*p + m + l*p**4 + s*p**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 20*a. Let z(i) be the second derivative of 107*i**3\/3 + 1460*i. Give z(y(p)).\nAnswer: 4280*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 2504.94kg?\nAnswer: 2504940000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -37*o**3 + 3*o**2 + 4*o**2 + o**2 + 8*o**2.\nAnswer: -37*o**3 + 16*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = -74 + 79. Find the third derivative of -k*h**6 + 10*h**3 - 7*h**3 + 9*h**6 + 13*h**2 wrt h.\nAnswer: 480*h**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -7 + 12. Suppose m*b = 2*o, 3*o - 2*o = b. What is the closest to b in 4, -6\/5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*l + 0*l + l)*(-207*l**2 + 140*l**2 - 228*l**2)*(3 - 2 + 0).\nAnswer: 1180*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out -25.71 * 0.01.\nAnswer: -0.2571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 9) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -128, -139, -158, -191, -244?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.0699944 - 0.07. What is t rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 0 - (0 - 3 - -3). Suppose j*c + 6 = c. Let k(a) be the third derivative of a**4\/24 - 5*a**3\/6 + 2*a**2. Let y(s) = -s + 6. Calculate c*y(f) + 7*k(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 180724 + 10 + ((-63)\/9 - -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -16468284035 and -5?\nAnswer: 16468284030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find y such that 3*y**4\/5 + 21*y**3\/5 - 351*y**2\/5 - 2673*y\/5 = 0.\nAnswer: -9, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -67\/9990 and 52\/777?\nAnswer: 69930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -265*t**3 + 9*t**2 - 5*t + 5. Let z(x) = 133*x**3 - 5*x**2 + 3*x - 3. What is 3*c(v) + 5*z(v)?\nAnswer: -130*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3 (b) -1 (c) 5 (d) -19 (e) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -5 (b) 0 (c) 0.1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 831082, 1662199, 2493316, 3324433?\n\"Answer: 831117*a - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve k + 3*y = -3*k + 14, k + 6 = 4*y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 210 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-7 - -5 - -4) + (4 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-20)\/(-2)*5\/10. Suppose -g*y + 66 = -4*c, -2*c - 5 + 37 = 4*y. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in thirteen fifths of a century?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (5\/(-28))\/((120\/(-540))\/(4\/45))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 53\/142284945 and -27\/40711.\nAnswer: 142284945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 19, 0, -28, 6, -3 in increasing order.\nAnswer: -28, -3, 0, 6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*o - 144 + 629. Calculate the common denominator of (-2)\/(-4)*(o\/1 + 2) and -92\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = n**2 - 16*n - 26. Let l be i(19). Let z = 7 - l. Let t(c) = c + 30. Determine t(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 15336 + 2064. Is p a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -8931889, -71455165, -241161207, -571641397, -1116487117, -1929289749?\nAnswer: -3063640675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -h. Let k be x(-2). Let m(y) be the third derivative of y**6\/120 + y**5\/15 - 5*y**2. Let b be m(-4). Solve b + k = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*m**5 - 3*m**5 - m**5 + (147*m - 14*m**5 - 147*m)*(-1 + 2 + 0).\nAnswer: -13*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -2933*r**2 - 4*r. Let j be d(-2). What is the tens digit of j\/16*2*(-14)\/21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -t**2 + 5*t - 10. Let f be z(4). Let b = 12 - f. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -258 = -10*g - 9*n + 12*n, 5*g - 3*n - 123 = 0 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5279 is divided by 1055?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1026 is divided by 166.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 14*a**2*j**3 + 3*a**2 - 14*a*j**3 - 2584*j**3 with respect to a.\nAnswer: 28*a*j**3 + 6*a - 14*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 1 - (2 - 2) - (1 + -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -2, 2 in descending order.\nAnswer: 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g = -2*g + 12. Suppose -2*u + 2*h = 16, 0 = 3*u - 8*u - 5*h - 10. Suppose 4*n = -4*p - 0*n, 5*p + 3*n + 6 = 0. Sort u, p, g.\nAnswer: u, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 6 + 1552*l**3 - 1553*l**3 + 4*l + 111*l**2 - 3*l + 76*l**2 as m*l**2 + d + f*l**3 + j*l and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -r**2 + 8*r - 5. Suppose 0 = n - 12 + 3. Let f be x(n). Which is smaller: -13 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 391148, 391194, 391230, 391262, 391296?\n\"Answer: n**3 - 11*n**2 + 72*n + 391086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 7522*g + 8. Let i be m(1). Round i to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3466241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (60 - -2) + 936 + -917\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 152591 is divided by 152407?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w**2*w*w)**49 assuming w is positive.\nAnswer: w**245","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 162516 and 368532.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = i**3 + 5*i**2 - 6*i - 14. Let h be u(-7). Let n = 75 + h. Solve 0*m + 4 = w + 2*m, -n*w + 13 = 3*m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 309 + -309.1. Let x = -46 + 34. What is the smallest value in -1\/2, x, i, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1140767.\nAnswer: 179, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + (0 - (-6 - -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -21\/2, -0.2 in ascending order.\nAnswer: -21\/2, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-68)\/8*(-3 - 13). Let o = c - 73. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 703 and 1591?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.035 + -0.0350268. Round s to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -7e - -3?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 158*w**4 + 2960*w**3 - 3565892?\nAnswer: 632*w**3 + 8880*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -48*i + 34*i - 84 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -184755\/7 + 26399. Solve 8\/7 - x*h**2 + 16\/7*h + 2*h**3 = 0 for h.\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 2*q**2 + 4*q. Let s(j) = -j**3 + 2*j**2 + 2*j - 3. Suppose -25 = -4*c - 9. Let t = c + -2. Let a be s(t). Let d(n) = n. Give a*x(m) - 4*d(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 6*j = -84. Let o = -25 + 13. Let f(s) = -s**3 - 13*s**2 - 14*s + 17. What is the remainder when f(o) is divided by j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8.402508l in millilitres?\nAnswer: 8402.508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 13*x**2 + 58*x - 55. Let u be a(1). Solve -2*z - 17*i + u*i = 0, -5*z + 2*i = -18 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zxxnm. What is prob of sequence xmxm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*b**2 + 0*b**2 - 6*b**2)*(-3 + 1 + 3)*(46*b - 44*b - 38*b**2 + 7*b**2) to u + v*b**2 + z*b + s*b**3 + d*b**4 and give d.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -4\/5 (b) -5 (c) -0.27 (d) 239\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1197189939?\nAnswer: 3, 11, 263, 137941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -122\/5 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*m**4\/7 + 134*m**3 - 708*m**2\/7 = 0.\nAnswer: -118, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 148 minutes after 7:56 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -0.085565 - -80.9\nAnswer: 80.814435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -51 - (73 - (89 + -16)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*g = 32*g - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) be the third derivative of -27\/8*z**4 + 0*z + 1\/120*z**6 + 0 - 1\/10*z**5 + 0*z**3 - 70*z**2. Find the second derivative of y(x) wrt x.\nAnswer: 6*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 3571*i**2 - 382*i + 2. Let h be j(-6). Round h to the nearest 1000.\nAnswer: 131000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 31634\/(-8) - (-3)\/(7 + 5). Suppose 3 - 13 = -2*j. Is ((-1)\/6)\/(j\/10)*c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -5 + -103?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) be the third derivative of -73*d**8\/84 - d**5\/60 + 11*d**4\/12 + 3*d**3\/2 - 1636*d**2. What is the second derivative of f(l) wrt l?\nAnswer: -5840*l**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5 + -16. Is u at most -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:40 AM and 12:02 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x be 4\/(-10)*180\/(-22). Let d = x + -227\/66. Let t = 17066 - 17065.7. What is the nearest to -3 in t, d, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -o**2 - 77*o + 677. Calculate v(-85).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = 6*p**2 + p + 3. Let o be n(-3). What is o rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + -2 + 3 + 0 - (-1 + -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -g**3 + 7*g**2 - 8*g - 3. Let j be m(6). Let s be (1 + 1)\/((-6)\/j). Solve 2*a - 17 = 5*q, 6*a - 4*a - q = s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 61 a factor of 112634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -17\/112 and -25\/98.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -y**2 + 39*y - 198. Let f be h(32). Solve -27*x + f*x = -1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 69 divide 1242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 0.7872 - -0.3\nAnswer: 1.0872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -27490, -109972, -247442, -439900?\nAnswer: -687346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be -4 - -185*(-1)\/(-5)*2. Solve -74*r = -k*r - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i + 47*f + 70 - 321 = 0, -5*f = 4*i - 41 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 887 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -220*u**5 + 781*u**3 + 2*u**2 + 1011304*u?\nAnswer: -4400*u**3 + 4686*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 8) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be 14\/(-7) + -1 + -32. Let l = w + 29. Is (-39)\/26*2524\/l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 48606*n**3 - n**2 - 18186*n wrt n.\nAnswer: 291636*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*s + 223976 + 35207 = 54622. List the prime factors of s.\nAnswer: 3, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = a**3 - 15*a**2 + 13*a + 16. Let g be q(14). Let o = 11 + -1. Calculate the remainder when o is divided by (-8)\/(-2) - (g + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by -4567.\nAnswer: -1\/4567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1\/9, 0.4, 2, 0.5, -229\/2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 4\/5, 1, 0.18 in increasing order.\nAnswer: 0.18, 4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - h - 8 = -1, 3*c + 3*h - 33 = 0. Let n = 15 - c. Let a(t) = 3*t - 1. Calculate the smallest common multiple of a(2) and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 23465178 - 12165178. Round f to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -6*c - 178. Let a(h) = -h + 1. Give 4*a(z) - g(z).\nAnswer: 2*z + 182","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 344 and 2004488.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d - 5 = 3*b + 4, 5*b - 3*d = 25. Sort 8, -4, 6, b.\nAnswer: -4, b, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -422425 (base 6) to base 12.\nAnswer: -17a15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (6\/(-4))\/(((-42)\/16)\/7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 429473923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/2, -0.21, -0.4 in descending order.\nAnswer: 1\/2, -0.21, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 25\/30*224\/420?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 318*y - 968 = 406*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -520829 + 520824. Let c = -2.7 + 3. What is the closest to 2\/9 in c, y, 2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9420878.\nAnswer: 2, 359, 13121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of -4 - (214\/(-7) - (-108)\/(-252)) and 2568.\nAnswer: 23112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:36 AM and 7:07 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -1343, -3776, -6213, -8654, -11099, -13548, -16001?\n\"Answer: -2*j**2 - 2427*j + 1086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) be the second derivative of 7*y**3\/6 + 17*y**2 - 3*y. What is the first derivative of t(i) wrt i?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + d - 36 = 0, -2*d = 2*u + 20 - 58. Suppose -4*n + 4 = -4*s, -n + 10*s = 5*s - u. What is the second smallest value in n, -2, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1841 and 6049?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -x = -25*c - 54, 139*x = 136*x + c + 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*j**5 + 4*j**5 + 6*j**5 + 3*j**2 - 3*j**2 + j**5 + 0*j**4 + 2*j**5 + 0*j**4 + (4*j**3 - 4*j**3 + 2*j**3)*(-3 + 2*j**2 + 3).\nAnswer: 14*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -208*-5\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 27364*f**2*i - 13*f**2 + 9*f + 31 with respect to i.\nAnswer: 27364*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2 - 2 - -2) + 2. Let d(k) = i*k + 2*k**2 + 2*k + k**3 + 4*k**2. Let r = -960 + 956. What is d(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5801 - 5794. Let m(s) = -3*s - 3. Let b(o) = 9*o + 10. Calculate n*m(i) + 2*b(i).\nAnswer: -3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 213713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 293903 is divided by 293866.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 270316 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = s + 51761, 5*x + 10019*s - 10014*s = 129380. Calculate the lowest common multiple of 3 and x.\nAnswer: 77637","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -7 and 19909 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 4*t - 6. Let s be f(2). Let n(c) = -c. Let i be n(-2). Solve -s*z = -z + i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -422 not equal to -3790\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 16 - 256 = -130*v + 114*v for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1088836669 is divided by 187?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -7\/3244839 and -29\/195?\nAnswer: 16224195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 53\/77795 and 15\/31118?\nAnswer: 155590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 7, 0.2, -4\/3, 1077?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eeeweww. Give prob of picking 3 e.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 35*c**2 - 168*c**2 - 3*c + 45*c**2 + 74*c**2. Let p(w) = -w - 1. Calculate g(u) - 2*p(u).\nAnswer: -14*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -245*o + 18*o**2 + 8*o**2 + 8*o**2 - 32*o**2.\nAnswer: 2*o**2 - 245*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Add together -2 and 0.0645.\nAnswer: -1.9355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -8610072, -8610065, -8610054, -8610039, -8610020?\n\"Answer: 2*d**2 + d - 8610075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -1, -138 in decreasing order.\nAnswer: -1, -3, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(-5 + (6*(2*sqrt(432))**2 - sqrt(432)) + -6*(2 + sqrt(432))).\nAnswer: -31053 + 252*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = c**3 + 9*c**2 - 2*c - 20. Let s be r(-9). Find the common denominator of (-1)\/4 + 154\/(-32) and 873\/(-108)*s*(-3)\/(-11).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1912 and 32.\nAnswer: 7648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 225.16004 days to weeks.\nAnswer: 32.16572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 333.8451 millilitres in litres?\nAnswer: 0.3338451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 121304, 485247, 1091826, 1941041, 3032892, 4367379?\n\"Answer: 121318*w**2 - 11*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: (3\/(-10))\/((-1)\/((-28)\/(-21)))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 3, c: 5, u: 2, o: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 14 and 128471.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-51)\/(-4 + (-102)\/(-30)).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 3, 16751323, 6\/7?\nAnswer: 16751323","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide -2559876 by -4.\nAnswer: 639969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 11 = 3*c, -4*j + c - 8 = -2. Let t be j*1 + -2*40\/(-16). Let q(o) = 6*o + 9. Let g(z) = -2*z - 3. Determine t*q(w) + 11*g(w).\nAnswer: 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m, 1 u, and 1 t when three letters picked without replacement from {u: 1, m: 4, t: 4, z: 2, q: 3, c: 1}.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1\/3, -784, 0.102?\nAnswer: 0.102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -49*n + 1. Suppose -5 = 5*d, -3*i - 5*d + 1 = -3*d. Calculate k(i).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 = y, -y + 0 - 1 = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -24071, -97902, -220973, -393284, -614835?\n\"Answer: -24620*p**2 + 29*p + 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -38 + 59 - 21 + g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 0*v = -54. Let y be ((-30)\/v)\/((-1)\/(-15)). Suppose 0 = 2*u + 4*h, -3*u + 5*h = -5*u - 1. Solve 3*z + y = u*a, 0 = z + 5*a - 5 - 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) be the second derivative of -v**6\/120 + v**4\/12 - 2*v**3\/3 + 2*v. Let s(h) be the second derivative of d(h). What is the derivative of s(t) wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 1476*d**2 + 804*d - 11. Let m(y) = -2952*y**2 - 1606*y + 25. Let r(n) = 9*l(n) + 4*m(n). Find the second derivative of r(x) wrt x.\nAnswer: 2952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (16 - 296\/20)\/(-2 + (-46)\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -130*b - 31. Let o be i(-15). Let j = -948 + o. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1782827875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 67839678?\nAnswer: 2, 3, 601, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 895 in -2\/13, -7\/6, -5, -0.03, -16?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*d - 3*k = -4*d - 104, 3*d = 2*k + 78. Let o = 19 + -11. Suppose 2*y = r - 1, -3*y = -2*r - 2*y + o. Solve r*c + d - 6 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -2*k**3 + 8*k**2 + 26*k + 19. Calculate the remainder when w(-3) is divided by ((-1)\/3)\/((-6)\/54).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + (sqrt(567) - sqrt(567)*2) + 6*2*sqrt(567) + 0 + -2*(sqrt(567) + -2)*2 + -4 + 2)**2.\nAnswer: 126*sqrt(7) + 27784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 1372 + -4347\nAnswer: -2975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 52630873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 391904621?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose b + h = -4, 3*b + b = -h - 10. Let j be b\/7 + (600\/(-21))\/5. Let d = 34 + j. Which is bigger: 27 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2220.517 - 2233.9. Let p = -12.31 - l. Round p to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -26 + 12. Let w = 13.99976 + v. What is w rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -81\/1504 and -21\/2098456.\nAnswer: 8393824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n = -0*n. Let f = 119 + -119. Suppose 3*z + 3*a = 7*a + 5, f = z - 3*a. Solve z*v - 4*c = -5, 2*v - v + 2*c - 5 = n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*z + 10*z - 21. Suppose 0 = z*a - 0*a. Suppose 0*q + 3*q = a. Is 8 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4117.501748 - -4?\nAnswer: -4113.501748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-20)\/(-24)*3)\/(2\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 109*d - 102*d - 140. Let r be 2\/(52\/(-20) + 3). Suppose -2*w - 54 = -r*w. What is the smallest common multiple of w and d?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 33*b + 86*b + 4 + b**5 - 3 + 0*b**5 wrt b?\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 86813?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -m**3 - m**2 - m - 2. Let g be n(-2). What is the derivative of -9 - 6*w**4 - 2*w**g - 9 + 2 wrt w?\nAnswer: -32*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 660 minutes after 6:30 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = 28 + -7. What is the highest common divisor of k and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 1 + 5 - 154*n**2 + 85*n**2 - 5 + 76*n**2 - 36*n. Give s(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r\/(r**0\/r))\/(r\/(r**(-15)\/r))*r**(-10\/7)*r**(-6) assuming r is positive.\nAnswer: r**(-150\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is x in -2\/5 + 1\/5*x**2 + 1\/5*x = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 440 - 437. Solve 5*z - n*s + 5 = 0, -2*z + 2 = -0*z - 2*s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k + 69 = 87 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -3*z - 5 + 2*z**3 + 3*z - z**3 wrt z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -270126*x + 270126*x - 139*x**2.\nAnswer: -139*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 5*o**2 - 4*o**2 + 2*o + 0*o - 5. Let m be w(-4). Find the second derivative of m*d - 5*d**2 - 7*d + d**2 wrt d.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) be the first derivative of -g**3\/3 - 3*g**2\/2 + 21*g - 7. Let t be k(0). What is the first derivative of 9*j**4 + 7 - t - 12*j**4 wrt j?\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -89 and 4\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5155 - 5123. Put 3, -1, d, -6 in decreasing order.\nAnswer: d, 3, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (12\/11)\/(99\/39204*27)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -103.9 + 101.9. What is the nearest to -1\/2 in -15, x, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**(-2\/19)\/(a\/((a\/a**(-1))\/a)))\/(a**(-1\/6)*a*a**(-5)))\/(a**5*a*a**(-1\/9)*a)**(-30\/11) assuming a is positive.\nAnswer: a**(9551\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 56193 divided by -32?\nAnswer: -56193\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 3*o = -o + 4, o = -3. Let i(s) = 92*s - 1. Is i(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (104\/(-104))\/(4*(-9)\/228).\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 8*k - 111. Calculate f(16).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -742 divided by -1.\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -w**3 - 69*w**2 - 225*w - 866. Calculate a(-66).\nAnswer: 916","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (21*b**3 + 19*b**3 - 34*b**3)*(-10*b + 10*b + 3*b**2) - 8 - 14*b**5 + 8.\nAnswer: 4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 433688517 to the nearest integer?\nAnswer: 20825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = 22302 - 5074. Is t\/24 + (-3)\/(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = a + 3*s + 7 - 19, 18 = 4*a + 2*s. Suppose n + 0*z + a = -3*z, 4*n + 2*z - 28 = 0. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -22\/3477 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(2*sqrt(228)*1 - sqrt(228))\/((sqrt(72) - sqrt(72)*-1 - sqrt(72))\/sqrt(6))*6.\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 0*t**2 - 15 - 3*t**2 + 4 - 23*t + 5. Let c be j(-16). Let m = c - -617. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*m + 5*g = 3*m, g = 4*m + 23. Let n(c) = 3*c - 12. Let k(w) = 4*w - 13. Let i(l) = m*n(l) + 4*k(l). Determine i(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in d**2 - 20923 + 257*d**3 - 20941 + 41864.\nAnswer: 257*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -102712, -102689, -102630, -102517, -102332, -102057?\nAnswer: -101674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/7? (a) -0.16 (b) -0.26 (c) -1884\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 11 (base 9) to base 6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2634429 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f be 32\/17 - 30\/(-255) - -3. Solve f*v = -5 - 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 19*p**2 - 99*p - 69. Let r(k) = 7*k**2 - 35*k - 23. Let b(c) = -11*r(c) + 4*w(c). Suppose 4*x + 16 = 2*x. What is b(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 677007536 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -12a (base 11) in base 5?\nAnswer: -1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.0032 + 221.0032. Let d = -220.9606 + y. What is d rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 80\/12*96\/20. Suppose -q = -u - c, 3*u - 5*q = 19 - 107. Which is smaller: -38 or u?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*m + 90 = -86 - 174 for m.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0002993364 to seven decimal places.\nAnswer: -0.0002993","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -22133 (base 5) to base 10\nAnswer: -1543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6 + -8. Let t be 1*5*(-7 + 171\/(-15)). Let o = 458\/5 + t. Which is the nearest to 2\/7? (a) o (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 117 = y, 4*v = -36*y + 34*y + 510. What is the remainder when 368 is divided by v?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 8*m**4 - 10*m**2 - 2*m. Let a(q) = -q**5. Let l = 223 + -222. Let f(u) = l*i(u) - 2*a(u). What is the third derivative of f(d) wrt d?\nAnswer: 120*d**2 + 192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2947\/2 - -14727\/10. Let l be -1 - (-2 + 4\/5). What is the nearest to l in 4, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -3*c**2 - 18*c. Let i(g) = -g**2 - 5*g. Let h = -3 - 15. Let d(q) = h*i(q) + 5*m(q). Let x(u) = 2*u**2 + 2*u - 2*u. Calculate d(x(s)).\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 23008209 smaller than 23008204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 773*l + 4596. Determine n(-6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 29 + -29.5. Suppose -25 = -5*t - 0*t. Which is the nearest to -2\/3? (a) t (b) -6\/5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 22594 and -0.2.\nAnswer: -4518.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = 10 + -8. Is 2 + -1 - (-342 + w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2914695 - -5764695. Suppose 3*v = 8*v + o. Round v to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -19 + 22. What is the derivative of 8 + 9 + k*z - 2*z wrt z?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 401 minutes after 5:56 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*d - 3*r - 35, 0 = 2*d - 3*r + 7 - 30. Suppose -3*b = -b - d*z - 2, 4*b = 5*z + 7. Factor 0*w**2 - 3*w**2 + 3*w**b - 3*w**2.\nAnswer: 3*w**2*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*o - 3*x + 7*x + 81, o - 40 = -3*x. Suppose 0 = -3*a - 4 + o. What is the lowest common multiple of 11 and a?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19 - 10 + 15 + 3*i - 25.\nAnswer: 3*i - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -9144.7 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) 6 (c) -232 (d) -6.1 (e) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3217486 is divided by 1729?\nAnswer: 1546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = 23 + -15. Suppose 0 = -5*o + 7*o + k. Let d be 2\/4 + (-1678)\/o. What is d rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -138.0031 rounded to 1 decimal place?\nAnswer: -138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 4b535 - a01?\nAnswer: 4a734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -1 - 6 + 6*g - 2*g**3 + 8*g**2 + 3*g**3. Let x be c(-7). Let z be 24\/396 - 93\/(-99). Is z < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2 - 5. Let g(p) be the second derivative of -1\/6*p**4 + 0 - 2\/3*p**3 - 1\/2*p**2 + 41*p. Calculate g(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 - (-3 - 0) - ((-20 - (0 + -5)) + 25)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5\/(-2235))\/((-1990)\/(-11940)).\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 21 and 17865?\nAnswer: 125055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 11, k: 1}. What is prob of sequence ww?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*u - 107 = 325. Suppose -4*w + 2*j = -86, -3*j + u = 3*w - j. Which is bigger: 18 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -36 (b) 0.4 (c) -4 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) be the third derivative of 17*k**4\/12 - 19*k**3\/3 - 27*k**2. Let t(b) = -b + 1. Let a(j) = o(j) + 4*t(j). Differentiate a(p) with respect to p.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -12138 + -986.711783.\nAnswer: -13124.711783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide -3665438 by -5.\nAnswer: 3665438\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*q**4*y + 53589*q**4 - 16079*y wrt q?\nAnswer: 8*q**3*y + 214356*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 787 divided by -787\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express -4*a + 10*a - 5*a + 45*a + 1 + 2 in the form y + j*a and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j be -8*(-4 - (-35)\/10). Suppose j*d - 5*d + 51 = 0. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -95855739, -95855738, -95855737, -95855736, -95855735?\nAnswer: -95855734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 199541177.\nAnswer: 11, 109, 163, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 5*b = -10. Let g = 236532 - 236524. Solve 0 = 4*i - 4*h - g, h - 6*h + b = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 13 - -6. Let v(b) = -4*b. Suppose -2*q = 2*q - 4*d + 88, -q = -3*d + 28. Let n be v(q). Calculate the greatest common divisor of g and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 0.3306492ug in milligrams?\nAnswer: 0.0003306492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -31\/92 and -67\/20?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 555 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 6 = -2*n, 64 = 4*q + 2*n + 10. Let f(i) = -1. Let w(s) = 2*s - 22. Let t(h) = -4*f(h) - w(h). Let l be t(q). Solve l*b - 4*b + 6 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 346 = 5*x - i - 6219, -2*i = -2*x + 2618. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -19 + 131. What is the remainder when g is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.4597895 and -0.3.\nAnswer: 0.13793685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 1177513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 116 is divided by 42?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -10607*g - 190933. Determine m(-18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rnr when three letters picked without replacement from bbbnbgrbbbrorbbbro?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 10*n**2 + 11*n - 10. Let m be 4\/(-6) - (-6)\/(-27)*-12. Let j(d) = d - 1. Let b(g) = m*t(g) - 22*j(g). Find the first derivative of b(c) wrt c.\nAnswer: 40*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 9 + 3*4\/(-3). Solve u = z*u + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 85 = 5*r - 5*x, -3*r + 83 = 5*x - 0*x. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2.735 + -6.735. Sort 0, k, 1.7, 75 in increasing order.\nAnswer: k, 0, 1.7, 75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 9*s**2 - 18*s + 6. Determine n(11).\nAnswer: 897","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 120 + -95. Let v(g) be the first derivative of g**2 + c + 1\/3*g**3 + 0*g. Suppose v(x) = 0. Calculate x.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1493 + 1497. Calculate the least common multiple of b and 154.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide (-24)\/(-8 + 16)*-97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4248 and 34.\nAnswer: 72216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 4 = -v, -g + 6 = -3*v + 5*v. Solve 0 = p + w, v*p - 5*p + 4*w + 21 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 1, u: 1, r: 1, n: 2}. Give prob of picking 1 q and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -2*l**2 - 2*l + 37. Let g(j) = -4*j**2 - 28*j - 31. Let f be g(-6). Give z(f).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -2*c - 2. Let y = 564 - 565. Let m(n) = n - 1. Calculate y*l(b) + 2*m(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 9) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 429 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -20 divided by 17.\nAnswer: -20\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 26*c**2 - 9*c + 3. Let d be m(-7). Suppose d = 5*h - 565. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 4, n: 4, s: 9}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -1524013031 (base 6) to base 11\nAnswer: -a9404a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(108) - (-5 + (-1*sqrt(108))**2)) + sqrt(108))*-5 + -5.\nAnswer: -60*sqrt(3) + 510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 8810.092 nanometers in micrometers?\nAnswer: 8.810092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, -80, 4, -2\/9, -1.42 in decreasing order.\nAnswer: 4, -2\/9, -0.5, -1.42, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = o**2 - 4*o + 4. Let a be k(4). Suppose 3*h = a*h - 21. Suppose -1 + h = 5*q. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3 and 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2\/5 or -3\/18437?\nAnswer: -3\/18437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = b + 8. Suppose 2*a - q - 152 = -162, 0 = 2*a + 3*q - 14. Give v(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 591864 divided by 91.\nAnswer: 6504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c**4 - c**2 - 2*c. Let a(i) = i**4 - i**2 - 3*i. Let q(d) = 2*a(d) - 3*f(d). Factor q(g).\nAnswer: -g**2*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -4 (base 12) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -12*p - 513. Let g(a) = -2*a + 5. Calculate -7*g(u) + w(u).\nAnswer: 2*u - 548","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 1 + f**2 + 2*f - 6*f - 2*f. Suppose -k = -0*k - 6. What is the lowest common multiple of 5 and a(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 773.9689 grams to milligrams.\nAnswer: 773968.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -62467*u - 112 = -62420*u + 83 - 7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 2*c**3 - 7*c**2 - 38*c + 132. What is the tens digit of r(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -5755 less than -1757?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -375*n + 2789 - 985 = -1571 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l be (3\/(-2))\/(9\/(-264)). Suppose -l - 16 = -4*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1404 and 988.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1040, -3823, -8354, -14633?\nAnswer: -22660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1143637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 17 - 4 = 0. Suppose z = 2*h - 5. What is the highest common factor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2748095.726 minus -5?\nAnswer: 2748100.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -115314*i*n**3*t**2 - 3*i*n**3*t - 17885*i*n**2*t + 21*n**3*t**2 + 97*n*t wrt t?\nAnswer: -230628*i*n**3 + 42*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -2, -3, -0.78?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) be the third derivative of f**7\/70 - 349*f**6\/10 + 365403*f**5\/10 - 42508549*f**4\/2 + 14835483601*f**3\/2 - 20*f**2. Suppose z(l) = 0. Calculate l.\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-420)\/(-110) - 4\/(-22). Suppose 0 = 4*o + k*w + 3 - 7, 5*o - w + 7 = 0. Let y(b) be the second derivative of b**4 + b**2\/2 + 3*b + 7. Calculate y(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -0.1, -3538, 3.91?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 109\/287730 and 163\/198.\nAnswer: 3165030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 19\/336 and 71\/80.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00114254703 to six dps.\nAnswer: -0.001143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 4d62c5 (base 16) in base 7?\nAnswer: 61051611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 11*t**2 + 6*t - 45. Let n(a) = 6*a**2 + 4*a - 23. Determine -3*g(r) + 5*n(r).\nAnswer: -3*r**2 + 2*r + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*l - 2*w = 5*l + 23, -l + w - 14 = l + l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 12448358 to the nearest ten thousand.\nAnswer: 12450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i be (225\/90)\/(4\/8). Solve 4*c = -b + 11, -9*b + i*b + 4 = -4*c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 2*d**3 - 2*d**2 + 2*d - 1. Let o be f(1). Let w = 7 - o. Find the common denominator of 67\/8 and -1 - 0 - 79\/w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 57.9327 litres?\nAnswer: 57932.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -2\/27, 0, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.127 + -310.5.\nAnswer: -310.373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 3 z when four letters picked without replacement from {z: 3, p: 4, o: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5 - 2. Suppose w = 5*g - 7. Factor q**4 + 2*q**2 - q**g - 2*q**4.\nAnswer: -q**2*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**4\/(d**(-2\/39)\/d))**(2\/47)*((d**0)**(15\/7))**(-3\/31) assuming d is positive.\nAnswer: d**(394\/1833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 11*f - 5. Let z(x) = -27*x + 12. Let u(b) = 12*i(b) + 5*z(b). Let y = -449 - -450. Determine u(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3309917 or -3310319?\nAnswer: -3309917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 12124178 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: Suppose 34*m + 27 = 43*m. Let h(q) = -7*q**2 + q - 9. Let r(k) = k**2 - k - 2. Let z(g) = m*r(g) - h(g). Find the second derivative of z(a) wrt a.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 101 - 7?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s**23\/s)\/s)\/(s\/(s*s**(-4\/5)*s)))\/((s*s**13*s)\/(s*s**(-2\/35)*s)) assuming s is positive.\nAnswer: s**(57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide 1732519192 by -216564899.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/(-6)*1296\/96 + (49 - 72)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 82137?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2822, 2759, 2686, 2597, 2486?\nAnswer: 2347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 - -4.6. Let w = -0.7 + t. What is w rounded to 1 decimal place?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2362*m**2*w**2 + 940*m**2*w + 2*m**2 - 8*w**3 + 6*w wrt w?\nAnswer: -4724*m**2 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -l**3 + 49*l**2 - 42*l - 2246. What is n(48)?\nAnswer: -1958","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 + 1 = k, 0 = b + 4*k + 15 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -25*d - 368. Let m be j(-15). Let v(t) = -4*t + 8. Let h be v(4). Let p be h\/16*3\/(-2). Sort 0.2, m, p.\nAnswer: 0.2, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -40190101473 - -40190092540.03309975. Let f = d - -8911.9669. Let p = -21 - f. Round p to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11106323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 80*u**6 - 132413*u**5 - 6386760*u**2 - 9*u - 2 wrt u.\nAnswer: 9600*u**3 - 7944780*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-12)\/(-3) - 3)*-1. Let f be (u - (-40 + -4))*-1. Let n = 64 + f. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -117 + 7*y**3 + 117 - 6*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -4 (base 9) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 0*a + 6 = -2*a, k + 3*a - 1 = 0. What is the smallest common multiple of k and -6 - 0 - 2048\/(-64)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/20 of a kilometer in centimeters?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 897 and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 5*k - 154. What is the remainder when 80 is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0 + 2*m**2 - 5*m**3 + 0*m**3 - 1 + (0 + 3*m + 0)*(4*m - 4*m - m**2) to f*m + p*m**3 + o + t*m**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -66.28709 to 0 decimal places.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -4398 less than -56.14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 9976 and 688?\nAnswer: 19952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (92\/(-16))\/((201\/268)\/((-56)\/12 - -4)).\nAnswer: 46\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -28*u**2 + 5*u + 11. Calculate g(-5).\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/4 - (-42)\/4. Suppose -14*u = -12*u - 6. Let y(j) = -5*j**2 - 3*j. Let b(x) = 16*x**2 + 10*x. Give k*y(w) + u*b(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q - 3 = -3*l, l - 1 = -3*q - 0. Suppose 2 + q = 2*f - 4*x, 5*f - 5*x = 0. Which is bigger: 4\/17 or f?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -47, -2.\nAnswer: -47, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 + 2 - 2)*(-4 - 1 + 0)*(4*u**3 - u**3 - u**3) - 3*u**3 + 0*u**3 + 2*u**3 to the form r*u**3 + n*u + f*u**2 + k and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 4*d, -19 = 49*v - 51*v + 3*d. Let l(s) = -2*s**3 + 3*s**2 - 8*s - 23. Let m(o) = -o**3 + 2*o**2 - 5*o - 15. Give v*l(j) - 8*m(j).\nAnswer: -2*j**3 - j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zvzzzzzvzzzvzvzzzvz. Give prob of picking 2 z and 1 v.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-6 - -3 - -1)*95\/(-2). Let p(t) = t**2 - t + 19. Let f be p(0). Calculate the greatest common divisor of f and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(2\/17)\/i)\/(i\/(i\/(i*i*i\/(i*i**6))))*i**(1\/4)*i**(1\/6)\/i)**(-1\/30) assuming i is positive.\nAnswer: i**(-517\/6120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -242689890 rounded to the nearest one hundred thousand?\nAnswer: -242700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4.4 + -5. Let f = -0.5 + 0.9. Let u = f - i. Which is the closest to 1? (a) -0.3 (b) u (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 557 divide 305975817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 628 minutes after 8:06 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -12100 (base 10) to base 6.\nAnswer: -132004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 86 + -247. Let k = -315 - j. Let b = k - -153.999933. Round b to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 4\/477?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 14 and 3558?\nAnswer: 24906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(36\/5)*q)\/(q**(-1)\/q)*(q**(-33))**(11\/2) assuming q is positive.\nAnswer: q**(-1713\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1127 + -581. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wdddwtd. What is prob of picking 4 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -5*t - 7. Suppose -5*b + 17 = s, -b + 4*s - s + 13 = 0. Let k(y) be the first derivative of y**2 + 3*y + 738. Give b*c(w) + 9*k(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (10*p**2 - 10*p**2 - 7*p**2)*(0 + 0 + 3).\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m = 582 + -390. Let c = m - 207.1. Round c to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) be the first derivative of 5*h + 1\/3*h**3 + 2 + 3*h**2. Let l be t(-5). Solve 2*w - 2 = -l*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -c - 6*c = -24*c - 68 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 585.4227 days to nanoseconds.\nAnswer: 50580521280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000002003703 rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 12955 and 21839539.\nAnswer: 2591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 7, 2\/9, -6.7184 in decreasing order.\nAnswer: 7, 2\/9, -6.7184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -10*i**2 - 753*i - 218. Determine s(-75).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose f + 13 = 2*s - 3, s = -2*f - 7. Let g be (-38)\/f - 4\/12. Solve 2*u - 4 - g = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0164472 to 4 dps.\nAnswer: -0.0164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 852170 and 21304250?\nAnswer: 21304250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 56 = -4*r + 20, -5*r = -2*q - 24. Is -22 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -x**3 - 18*x**2 + 2*x + 40. Let b be o(-18). Let c = -164 + 167. Calculate the highest common factor of b and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = y**3 + 73*y**2 + 84*y + 278. What is q(-72)?\nAnswer: -586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) be the third derivative of b**7\/720 - b**6\/360 + b**5\/15 - 3*b**2. Let n(p) be the third derivative of i(p). Give n(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-5)\/(-40)*16*(2 + 13). Solve -s - 12 = -21*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -6*w**2 + 5*w - 15 + 2*w**2 - 3*w**2 - 4*w**3 + 5*w**3. Let j be l(7). Solve -j = 3*a + a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = 4*q + 3*m - 131, 3*q - 194 = -2*m. Does 16 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p - p - 2*l + 18 = 0, 0 = -4*l - 16. Let x = p + -7. What is the remainder when 16\/(-4) + (-126)\/(-6) is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1433994936\/5 or 286798986?\nAnswer: 1433994936\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -k. Let a(w) = w - 2. Let r be (-27)\/(-1) + 1\/(-4)*0. Suppose r*b - 22*b = -5. Determine b*a(y) - 2*g(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1 + -1. Let g = -2 - v. Let f = 0 + 0.3. Which is the closest to -1? (a) f (b) g (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 46*r**2 + 339*r + 133. Give b(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 189683678 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 37 a factor of 2347848345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*d**3*h + d**3 - 492781*d**2 + 5*d - 79045*h wrt d.\nAnswer: 12*d*h + 6*d - 985562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*p - 2*r, 3*p + 16 = 4*p - 3*r. Suppose 3*i + 26 = p*g, -2*i - g = -i - 3. Let c = -0.3 + -6.7. What is the third smallest value in c, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 124 - -14?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 40*c**2 - 196*c - 1680. Let h be i(-8). Which is smaller: h or 2446?\nAnswer: 2446","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zc when two letters picked without replacement from {k: 1, z: 1, e: 3, c: 2, a: 7}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (-42 + 43 + 7*i + 16*i)*(-190*i + 190*i - 82*i**2) as a*i**3 + s*i**2 + k + h*i and give s.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-59244)\/(-93803) - (-1489)\/19.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -91 + -1178415?\nAnswer: -11784a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (4\/14)\/((-66)\/(-308))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (5 - -56) + -39 + 7\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-109)\/6*3*20. Let t = 1764 + p. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 205 - 4?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -2 + 13 - (-46 - (16 + -51))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = g**3 + 8*g**2 + 12*g + 11. Let i be a(-7). Let l be i\/9*(0 - (-1)\/6). Suppose 4 = 3*j + j. Which is smaller: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/(-12) + (-1)\/138*-58?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 67\/109461 and -23\/129363.\nAnswer: 1422993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -64a1 + 70b?\nAnswer: -5a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m**(-1)*m*m*m)**(23\/3)*m**(-2\/21)\/(m*m\/(((m*m*m*m\/(m\/m**8)*m)\/m)\/m)))**(1\/4) assuming m is positive.\nAnswer: m**(649\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1386802 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(33)\/sqrt(3) - sqrt(11))*3 - (sqrt(396) + -1 + sqrt(396))**2) + (3*sqrt(132)\/(sqrt(12)*3))**2.\nAnswer: -1574 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 44*w**2 - 252*w - 615. Is n(206) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -9839, -19680, -29521, -39362?\n\"Answer: -9841*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y + 8*i + 8 = 7*i, i - 19 = 5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-1\/3)*c)\/((c**(-8\/5)*c)\/c*c*c)*((c*c\/(c**(-11)*c))\/c)\/(c**16\/c) assuming c is positive.\nAnswer: c**(-56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + 20292.861347?\nAnswer: 20294.861347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1757220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -3.3 times 11?\nAnswer: -36.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*u - u + u + 2*u + 0*u - u + (0 + 0 + 2*u)*(0 - 2 + 1) + (-22 + 87 + 23)*(-u + 3*u - 3*u).\nAnswer: -91*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -414 - 288 = -3*q. Suppose i = 287 + q. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18214112 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 11228266831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -33 - d - d + 33.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -0.3 times 351\nAnswer: -105.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -r**2 + 5*r + 3. Let o be -3*1*(-16)\/12. Let f be m(o). Suppose 5*i - w - 285 = 0, 0*w + 25 = -5*w. What is the highest common divisor of f and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0 - 0. Let p(b) = -1 + b + g*b - 7. Let q be p(8). Solve 4*j + q - 4 = 2*h, -5*h = 5*j - 20 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 14, 2\/13, 10, -3, 10.1 in decreasing order.\nAnswer: 14, 10.1, 10, 2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 42 - (-22 - (-17 - 17)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-18)\/4)\/9 - 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 2, x: 3, v: 7, z: 3, q: 1, y: 1}. What is prob of sequence xyvq?\nAnswer: 1\/2720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 126*w**2 + 6*w - 6. Let v be b(2). Suppose 4*f - 354 = v. Does 27 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-1476*a**2 + 372*a**2 + 593*a**2)*(-4 - 4 + 6) as h + z*a**2 + w*a and give z.\nAnswer: 1022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:59 PM and 1:39 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = -4*h + 6410, -5*l + h - 3*h + 32194 = 0. List the prime factors of l.\nAnswer: 2, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 5\/4 of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 395 (base 10) in base 7?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0 from 0.507072920341.\nAnswer: 0.507072920341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 33, 1257, 1\/5?\nAnswer: 1257","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x + f - 21 = 8*x, f - 5 = 0. Let v(c) = c**2 + 5*c - 5. Let y be v(-5). Let b(k) = -2*k + 1. Let z be b(-1). Put x, z, y in increasing order.\nAnswer: y, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -7132 divided by -4\nAnswer: 1783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = -36 - -88. What are the prime factors of (3 - 1)\/(8\/q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 24 - 18. Let y = 8 - i. Calculate the remainder when y is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 590893 and 1058?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 184231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 8, k: 3}. What is prob of sequence akaa?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 3, l: 1, y: 5, p: 2, e: 1}. Give prob of picking 3 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 + 6 + (-151 + 166 - (-56 + 1))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1001101 (base 2) to base 4\nAnswer: -1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(-10)*(0\/6 - 1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 5347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -r = 2*r - 8*q - 1, -8 = -q - 4 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*o + 3*o + 3 - 2)*(-o**2 + 2*o**2 - 4*o**2).\nAnswer: 3*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*g = 9 - 9. Is -9\/20 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -29\/44 and -107\/176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t = -0*k + 2*k - 12, 0 = -4*k + 2*t + 6. Suppose -k + 60 = 3*n. Suppose 0 = h - n + 4. Calculate the highest common divisor of h and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from llqllydld.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -31332500 to the nearest 1000000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 65 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((sqrt(2299) - (-4 + sqrt(2299))**2*-6)*6 - (sqrt(1539) - (sqrt(1539) + 4 + sqrt(1539))*-6)*6).\nAnswer: -15216*sqrt(19) + 332784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 69594\/70*15\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 1a97 (base 11) to base 7\nAnswer: 10501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 13\/(-39) - (-61)\/3 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5130*i**5 + 2615*i**4 - 53517662*i**2 + 4*i wrt i?\nAnswer: 307800*i**2 + 62760*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -2670 > -1765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-8)\/(-10))\/((-73)\/(-365)). Suppose 3*d = a + 192, q*a = -0*a. What is the highest common divisor of 96 and d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.1, 9, 4, -7729?\nAnswer: -7729","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = r**2 - 41*r - 53. Determine n(42).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(70) + sqrt(70)*-3)*1 + sqrt(70)*-1*4)\/(sqrt(1210) + (sqrt(1210) - (sqrt(1210) + sqrt(1210)*-1))*3 - (sqrt(1210) - sqrt(1210)*1 - sqrt(1210))*1).\nAnswer: -6*sqrt(7)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**1)**(-42)\/(u**6)**(-21))**17 assuming u is positive.\nAnswer: u**1428","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor 23*w**2\/3 + 69635*w\/3 + 69566.\nAnswer: (w + 3)*(23*w + 69566)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38 = -5*h + 17. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5826530 + -173470. Round g to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7555431 to the nearest integer?\nAnswer: 2749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*x + x - x)*(8674 + 138*x - 8674)*((5*x + x - 5*x)*(4*x - 2*x + 0*x) + (2 + 2*x - 2)*(-5*x + 2*x + 5*x)).\nAnswer: -1656*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-6264)\/(-928) + 1\/(8\/(-6)). Suppose 6*q - 34 + 232 = 0. Which is bigger: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -654*i**5 - 6*i**4 - 28*i + 13. Let n(o) = 653*o**5 + 5*o**4 + 27*o - 13. Let b(j) = 6*n(j) + 5*p(j). Find the second derivative of b(z) wrt z.\nAnswer: 12960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -37\/4 + 557\/60. What is the closest to 2\/3 in 0.5, -1, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -9*k. Let z(d) = -d + 3. Let s(q) = 7*q**2 - 14*q + 42. Let p(n) = -s(n) + 14*z(n). What is p(c(f))?\nAnswer: -567*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-21)\/(-4) + (-2)\/8. Let i = 90 - 88. Suppose i = 3*k - 4. Solve -k = -n - o for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -530498, -1060975, -1591446, -2121905, -2652346, -3182763, -3713150, -4243501?\nAnswer: -4773810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xowwdwwwwwoqzx. Give prob of sequence oqx.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t be 4655\/247 + (-4)\/(-26). Let v = 239 + -106. Calculate the highest common factor of t and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 4*a + 94 - 82 - 3*a. Let b(f) = f**2 - 5*f + 8. Calculate the smallest common multiple of b(7) and m(-6).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 139453247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 6*x**2 - 231*x + 287. What is i(37)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -2\/39 (b) 0 (c) 1\/835 (d) -0.1 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*v + 111*v + 98*v = -16400 for v.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1.11 - 0.19. Let z = 1 + p. Let m = 2.9 + -3. Which is the biggest value? (a) 0.4 (b) z (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 17*h**2 + 22*h + 159. What is the remainder when o(11) is divided by 490?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -11*z + 68. Calculate s(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 31795878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 1516 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 10*a**2 + 10*a**2 + 9*a**2 - 6*a**2 in the form w*a + o + l*a**2 and give l.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*z - 394 = -4882. What are the prime factors of z?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -504 + 499. Put d, -1.1, -3, -1 in ascending order.\nAnswer: d, -3, -1.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -18 + 21. Suppose 0 = -6*p + 4*p + 6, -4*v + h*p + 199 = 0. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/(((r\/r**(5\/6))\/r)\/r))\/r**(2\/21))**(-1\/25) assuming r is positive.\nAnswer: r**(-23\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 1, w: 5, o: 3, s: 1, y: 3}. Give prob of sequence wyyz.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = t**3 + 17*t**2 - 291*t - 183. Calculate v(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 5660 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = -22 - -19. Which is smaller: -0.2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4 plus -1.67?\nAnswer: -1.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1339\/2 - 687. Find the common denominator of w and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 328440 divided by -204\nAnswer: -1610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 0*l = -9. Let i = l + 20. Let y(p) = -7*p - 3. Let w be y(-2). What is the highest common divisor of i and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*i**4\/9 + 8*i**3\/3 + 40*i**2\/9.\nAnswer: 2*i**2*(i + 2)*(i + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1260168.138 - 1259157. Let d = -1019.6 + u. Let l = 0.062 + d. What is l rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 2*v + 1)*(-3 + 1 - 1)*(v + 2*v - v) in the form u*v**2 + i*v + g and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 11243, 13204, 15165?\n\"Answer: 1961*f + 9282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 6.251, -541, 4 in increasing order.\nAnswer: -541, 4, 6.251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Are -220 and 16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1347*g**2 - g**3 + 4*g**3 - 1365*g**2 + 2712*g**2.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6590, -6353, -6116, -5879, -5642?\nAnswer: -5405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000461 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + (-4 - -4) - -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1265 - 42*h + 1265 to the form c + q*h and give q.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 975688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5 - 3. Suppose -3*k - n*j = -1247, 3*j + 2*j = 5*k - 2045. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3077 + -1672. Suppose l - s = -4*l. Let d = l + -24. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -22443970 divided by -55970\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pkyy when four letters picked without replacement from {y: 2, k: 1, p: 1, c: 1, u: 2, z: 2}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((108\/280)\/9)\/((-96)\/(-112))?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 2304 = -4*q, -43*r + 6867 = -40*r + 3*q. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 995\/6 - 165. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -224004 plus -19162499?\nAnswer: -19386503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5528 is divided by 900.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 13004141939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -226*l = -135*l - 111*l + 174960. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-4)\/(-2) + -1 + 1. Let s(x) = x**3 - x**2 + 3*x + 3. Let u(l) = -l - 1. Let n(i) = s(i) + 4*u(i). Let t be n(2). Which is greater: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -199 - -410. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4920)\/(-288) + 130\/(-1560)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 1467 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + 0 + 2*y)*(2*y + 12*y + 32*y) + 0*y**2 - y**2 + 0*y**2 as b*y + c*y**2 + o and give c.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -5, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 58800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1436\/9 + 2713\/18. Let a = 395145\/26 - 15194. Find the common denominator of m and a.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 + (12 - 4) - (-1 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-420)\/1155*1\/(-2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 736994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 1832 a factor of 2647304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 20684651 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6131.1 + -6131. What is the closest to 2\/21 in t, 4, 3.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3520200 rounded to the nearest one hundred thousand?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -3\/4, -5, 0.036, -3.5, -1\/2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -73 + 121. Suppose 6*s = 2*s - u. Let m = -9461 - -9461. Sort s, 4, m.\nAnswer: s, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 170 take away 196083477?\nAnswer: -196083307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(1\/2)\/l*(l\/l**(-1))\/l)\/((l**2*l)\/l*l**(-2\/29)) assuming l is positive.\nAnswer: l**(-83\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:55 AM and 2:43 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 divided by 148.\nAnswer: 5\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -123*g**4*o + 2*g**4 + g**2*o*z + 507*g*z - g + 2*o*z wrt g?\nAnswer: -1476*g**2*o + 24*g**2 + 2*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -8*s**3 - 3*s**2 + 2*s - 9. Let t(i) = 11*i**3 + 3*i**2 - 3*i + 10. Calculate -2*t(b) - 3*z(b).\nAnswer: 2*b**3 + 3*b**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 1, g: 1, o: 2, k: 2, r: 1, u: 1}. What is prob of picking 1 k, 1 o, 1 g, and 1 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2380 - -2363. Let n(k) be the third derivative of k**6\/120 + 4*k**5\/15 - 3*k**4\/4 + 8*k**3\/3 + 2*k**2. What are the prime factors of n(z)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 0.2, 2\/5, -1\/6, 47.1, -2\/19, -32?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by -360?\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = -23 + 29. Suppose 0 = -2*w + c*w + 20. Let u(q) = 1080*q**2 + q + 5. Let d be u(w). Round d to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in one sixteenth of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply 83071 and -364.\nAnswer: -30237844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = -28 + 63. Suppose 45 = 5*t - z. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 18*l + 111. Let b be s(-6). Suppose -j + 6*j = 140. Find the second derivative of 2*f**5 + j*f - 98*f**4 - f**b + 98*f**4 wrt f.\nAnswer: 40*f**3 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 288*u + 1569 = 8365 - 17688 - 13588 for u.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express t**4 + 9 - 20*t - 23*t**3 + 12*t**3 + 9*t**3 in the form g + b*t**4 + z*t**3 + f*t + h*t**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = 40958 + -81869\/2. Let q(w) be the first derivative of 4*w - 37 - i*w**2. What is the derivative of q(g) wrt g?\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 56468360?\nAnswer: 2, 5, 13, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -2040 divided by 12\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 403 = c, -5 = -2*c - 11. What is the smallest common multiple of j and 56?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2014 and 82209466.\nAnswer: 2014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 1 (b) 13 (c) 6 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -2*k**2 - 2*k + 12. Let w be c(-5). Let b = -23 - w. Solve b*j - q + 2*q = -20, -q = -5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 21019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = -47 + 34. Calculate the common denominator of (-2)\/s - 4380\/416 and 125\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = -3*o - 2*s + 2, -o = 4*s + 5. Let n(g) = g**3 - 3*g**2 + 3*g - 1. Give n(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -2*g**3 + 21*g**2 - 10*g - 33. Let q(o) = 1 + 208*o - 208*o + 0 - o**2. Let i(l) = -d(l) - 5*q(l). Factor i(v).\nAnswer: 2*(v - 7)*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 396 - 76. Calculate the highest common divisor of n and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -17028, -1\/4, 2, -1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w + 3*x + 2 = 0, 5*w - 3*x - 5253 = -5231 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27 = -3*x + 6. Let h = x - -9. Solve 3*l**4 + l**2 - 4*l**h + 6*l**3 + 6*l**2 = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 2*n**2 + 6*n - 1. Let f(j) be the second derivative of j**3\/6 + j**2\/2 + 5*j + 25. Calculate -a(z) + 2*f(z).\nAnswer: -2*z**2 - 4*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 528831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 128*a - 123*a + 2255000 = 0. Round a to the nearest 10000.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 + 27 = 7*k. Let y be -28*k\/(-40)*2. Solve -3*p + 8 = -y*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -62*v**3 + 6*v**3 - 26*v**3.\nAnswer: -82*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -769108 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 901288204?\nAnswer: 2, 225322051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.9 + -0.1. Let l = u + 3. Let v = -5.8 + 6. Which is the nearest to 2\/3? (a) l (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h**5 - 4*h**4 - 52*h**3 - 112*h**2 - 94*h - 28 = 0. Calculate h.\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -22 - (2 - (2 + 1 + -1 - (3310 + -3311))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -304, -1216 in increasing order.\nAnswer: -1216, -304, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in four sevenths of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -2*j. Suppose 4*k + 22 = -5*x, -k + 3 = -2*x + 2. Let b = x - -4. Let f(u) = -u - 4*u + b*u. Give f(v(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 196089, 392156, 588235, 784332, 980453, 1176604?\nAnswer: 1372791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from oqbboooqbqooqbq. Give prob of picking 1 o and 1 b.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -218*x**2 + 11*x - 10. Let g(k) = -218*k**2 + 14*k - 12. What is 5*g(d) - 6*p(d)?\nAnswer: 218*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t - t - 6 = -3*h, 3*t = 0. Find f, given that -8*f**2 + 18*f**h - 9*f**2 - 2*f = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.01, -4, -0.94, 3, 287, -0.4 in decreasing order.\nAnswer: 287, 3, 0.01, -0.4, -0.94, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide -253 by -6.\nAnswer: 253\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -192*j**2 + 0 + 216*j + 16\/3*j**4 + 1\/6*j**5 + 92\/3*j**3.\nAnswer: j*(j - 2)**2*(j + 18)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 636 and 8?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -j**3*k**2 + 2*j**3*k - 400640*j**3*u - 33*j**2*k*u - 2*j**2*u - 2618*j*k*u - 184*k**2 - 2*k*u wrt j?\nAnswer: -6*k**2 + 12*k - 2403840*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12504 = -64*z + 76*z. What are the prime factors of z?\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(110)\/sqrt(160) - (-1*sqrt(77))\/sqrt(7).\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -104.7 + 105. Which is the third biggest value? (a) 4 (b) j (c) -8 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - 3*t = -9, -5*s + 2*t = 7*t - 65. Let q be (s\/(-10))\/(6\/(-160)). Suppose 0 = 8*v - v - 700. Calculate the greatest common factor of v and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -3*s + 4. Let v be j(-3). Suppose 15*m + 2 = v*m. Which is the second smallest value? (a) 6 (b) 3\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = t + 3. Calculate n(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-8)\/(-336)*-9)\/(1\/(-2))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -943 - 2*u**3 - 5*u + 3*u + 947. What is the remainder when 62 is divided by k(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fwiwiiwwwfwniwwr. What is prob of sequence rinw?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -3*x**3 + 1 + x**2 - 1 + 42*x - 43*x in the form t*x**2 + v*x**3 + r*x + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:26 PM and 2:41 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1\/826 + 26435\/2478. Let w be 24 + -9 + (-7 - -8). Find l, given that -64\/3*l - 16\/3*l**3 - w*l**2 - n - 2\/3*l**4 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = r - 1. Let b be w(1). Let f = b + 11. What is the least common multiple of 11 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a, 1 m, and 1 b when three letters picked without replacement from {a: 3, b: 6, l: 4, m: 4}?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 25641640.\nAnswer: 2, 5, 19, 33739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Add together -13.71 and 488851.\nAnswer: 488837.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5010 divided by -6.\nAnswer: -835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a decade in months?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be (1\/3)\/((-1)\/(-21)). Suppose 2*r + 5*k = 24, -4*k - 10 = -3*r + 26. Let g = r - j. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1110 and 447700.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2\/3, 4.85389, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*sqrt(300)*1.\nAnswer: -20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -35*r + 2195 = 1775 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1046, -1169, -1262, -1313, -1310, -1241, -1094?\nAnswer: -857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -24 = 20*o - 16*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s be -39 + -1 + 2*1. Let b = 107 + -42. Let y = b + s. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-338)\/12)\/(54\/(-972)). Calculate the greatest common divisor of k and 1287.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1)\/1 + (-12)\/(-21). Let s = f + 1. Which is smaller: s or 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z - 366 = 189. Let s = -53 - z. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6340045?\nAnswer: 5, 271, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*a = 14*a + 448. Let c = a - -1063. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5 - -10) + 0 - 21.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 233*r - 6. Let o(m) = -115*m + 3. Let i(n) = -3*j(n) - 5*o(n). What are the prime factors of i(-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*u = -4*a - 66, -2*u - 3*a - 223 = -103 - 82 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 26 + -23 + (-6 + 1 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 280917 and 351?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the second derivative of 2 - 8*a + 23\/12*a**4 - 1\/2*a**3 + 23\/2*a**2. What is the second derivative of b(j) wrt j?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rlrjttltttltr. What is prob of picking 1 j and 1 t?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 + 1 + 10*f**2 + 1.\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 - 531.04.\nAnswer: -529.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -28*b**2 - 69*b + 69*b.\nAnswer: -28*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-56)\/36)\/7 + 646\/(-9). Suppose 6*c - 620 = c. Let y = b + c. Does 26 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1 + 159c3?\nAnswer: 159c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -4*v**2 - v**2 + 4*v**2 - 2 - 2 + 14*v. Let d be w(4). Calculate the greatest common divisor of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 157*p - 152*p - 4*c = 233, 4*p - c = 61 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -8846975*-3\nAnswer: 26540925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4*x + 76 - 76 + (3 - 2 + 1)*(3*x - x - 3*x))*(2*x - 2*x - x) to m*x + t*x**2 + n and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 53\/756 and -1\/1296.\nAnswer: 9072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b**(-3\/7))**2 assuming b is positive.\nAnswer: b**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -19*r - 9. Let h(q) = 10*q + 5. Give 5*h(y) + 3*l(y).\nAnswer: -7*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = 69 - 67. What is the second derivative of -4*p + 10*p + 12*p**4 + w*p wrt p?\nAnswer: 144*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 9261359?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 549707?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*p + 2 - 2)*(-4 + 1 + 1)*(p + 1 - 1)*(-12*p + 4*p + 4*p) to i + q*p**3 + n*p**2 + j*p and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12*(6\/2)\/(-27)*3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:56 AM and 10:48 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 31, 75, 119, 163?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nokoxnkkkxcokoxckcko. What is prob of sequence xn?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -440*j**2*y**2 - 3252*j**2*y - 7*j**2 - 307*j*y**2 + 1605*y**2 + y + 12 wrt j.\nAnswer: -880*y**2 - 6504*y - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = c**2 - 4. Let q be 2*3\/(-6) - 6. Let v be t(q). Suppose -3*k + 3*u = -6, 0*u - 12 = -3*k + u. Calculate the highest common factor of v and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 371, -46, -3\/4, -4, 0.2 in descending order.\nAnswer: 371, 0.2, -3\/4, -4, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 2*z**3 - 3*z**2 - z - 6. Let g be j(3). Let l be 12300000\/g*(-144)\/(-6). Round l to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 387 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -40163, -79998, -119827, -159650, -199467, -239278, -279083?\nAnswer: -318882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-154)\/(-2*(-2 + 3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 0.01 (b) 0 (c) 1\/4 (d) -7\/3 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -p**2 - p + 1. Let w be x(2). Let z be 9*-1*(-6 - w). What is the units digit of (-1)\/(0 + (-1)\/z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 27*u - 589*u = -12364 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 1 z when two letters picked without replacement from ggzqzgggqzgggqgzqggg.\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 55803257 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -68 - 14?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-328)\/(-41)*5\/20.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -13*n + 9*n + 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) be the third derivative of -215*k**8\/48 + 1481*k**5\/60 - 1760*k**2. What is the third derivative of f(p) wrt p?\nAnswer: -90300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1.218629315 to four decimal places.\nAnswer: 1.2186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = -107\/74 - 2\/37. Let d be 24\/3 + -1 + -1. Let r be (2\/d)\/((-1)\/3). Is r > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find v, given that -13*v**5\/2 - 194*v**4 - 2813*v**3\/2 + 1001*v**2 + 5730*v - 900 = 0.\nAnswer: -15, -2, 2\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = -14 - -13. What is the second smallest value in -0.3, -24, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 324.83 - 321. Round w to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 411\/572 + 9\/286. Which is the closest to 1\/4? (a) 0.02 (b) 6 (c) n (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 170, 332, 494, 656, 818?\nAnswer: 980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-5*q + 3*q + 3*q)*(0 - 3 - 2) + 0*q - 3*q + q + 3*q + 4*q - 5*q)*(q**3 - q**3 - q**4).\nAnswer: 5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.054528 tonnes to kilograms.\nAnswer: 2054.528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5983)\/(-17177)*89 + (-485)\/17?\nAnswer: 42\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -6*x + 12. Calculate d(-5).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*p - 2*p - 270 = 0. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -22*y**3 - 442*y**2 - 59*y + 4. Let z be q(-20). Calculate the highest common divisor of 1184 and z.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j + 185 = 2*j. Calculate the remainder when j is divided by (-3 + 1)\/(3\/(-15)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 15006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*i - 2*i - 11*i.\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 35 divide 210075273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1138 or -2416?\nAnswer: 1138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) be the third derivative of s**5\/60 + 7*s**4\/12 + 35*s**3\/6 - 3*s**2 - 2*s - 224. What is i(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 147 - 111. Find the common denominator of b\/510*95\/(-4) and -43\/6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 13*l**3*s - 1246*l**3 - 136*l**2*s - 420*s wrt l.\nAnswer: 78*s - 7476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -2*a**3 + 19*a**2 - 9*a + 3. Let d be v(9). Solve -4*g - 2*u = -2 + 8, 0 = d*g + 3*u + 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from jycjyjccynkcy.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 5\/26 (b) -13 (c) 0.1 (d) -3062\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2002 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1512\/61 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -j - j + 8. Suppose 6 + j = 5*d. What is f in 2*f**3 - f**4 + f**2 - d*f**3 + 0*f**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -70 + 49. Let l be 1\/3 + (-77)\/g. Let s be ((-3)\/(-4))\/(1\/l). Solve -2*h - 3 = s*q, -3*q + 2*q - 1 = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 7 - -20 - (81 - 58) - (0 + -27)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1 and 45575782?\nAnswer: 45575782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 31964634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 12604727117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 106*i + 13. Let b(d) = -845*d - 103. Determine 2*b(y) + 17*x(y).\nAnswer: 112*y + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + 15 = -w, 3*n - 18 = -w + 2. Suppose -h = -2*h + n. Solve 2*q = -2*p, 0 = 3*p - h*q + 2*q for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (1 - (0 + -1))\/(-1). Let y be (b\/(-13))\/1 - 350\/(-91). Let m = -28 + 28.1. What is the nearest to 0.2 in 0.2, m, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -10372.69988 - -10373. Let s = b + -0.3. What is s rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1728348, -1728330, -1728312?\nAnswer: -1728294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 0.4*-0.086\nAnswer: -0.0344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-7)\/28)\/(((-15)\/(-36))\/((-55)\/22))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 9*b*f**3*x + 11*b*f**2*x + f**4*x + 8*f**4 + f**3*x - f**2*x - 17*f**2 wrt f.\nAnswer: 54*b*x + 24*f*x + 192*f + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a be 0 - (-3)\/9*0. Let t(s) = -s**2 + 13*s - 6. Let x be t(8). Let u = x - 30. Solve 2*k + 2*k - 5*w - 36 = a, 0 = u*k + 5*w + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*m**2 + 5 + 0 - 98*m - 5 to the form b*m**2 + u + v*m and give v.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-4*(-6)\/(-12))\/9. Let y be (-36)\/(-48) - (2 + 27\/(-28)). Which is the second biggest value? (a) y (b) -78 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 136670564?\nAnswer: 2, 34167641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 104177, -978, -5 in increasing order.\nAnswer: -978, -5, 104177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Do -9275 and -9274 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) 2\/19 (b) -2\/11 (c) 5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 74698 - 946875 - 832225 = -13527*x for x.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 4*b - 12. Let x be f(4). Suppose 0*k - 4*k = q - 3, -2*q + x*k = 6. Which is smaller: 121 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -z**3 - 17*z**2 - 17*z - 16. Let r be l(-16). Suppose -3*s + 2 - 5 = r. Put s, 0, -5 in descending order.\nAnswer: 0, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify f*f*f*f*f*f**1*f**(-2\/15)*f*f**(2\/3)*(f\/f**(-1\/4))\/f assuming f is positive.\nAnswer: f**(467\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = -20.031 - -0.031. Let j = y + 19.9. Let d = 0.1 - 0. What is the nearest to -0.1 in j, -3, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -57*n**3 + n**2 + 2*n + 1. Let o be h(-1). Suppose 3*i = 6*i - o. Suppose -4*g + i + 11 = 2*f, 4*f + g - 46 = 0. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 341617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 28 and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 16*x**2 - 51*x + 75. Let n(v) = 3*v**2 - 10*v + 15. Let f(l) = -2*g(l) + 11*n(l). What is the remainder when 9 is divided by f(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2288.11519 - 2072.1139. Let c = r - 216. What is c rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hnnn when four letters picked without replacement from {h: 3, n: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2597200 and 57380?\nAnswer: 49346800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-4)\/(-18) - 352\/(-36). Suppose 0 = -o + 49 - p. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 4*d**3 + d**2 - d. Let p be v(1). Suppose -f + p*a = -1 - 1, -4*f - 5*a = -113. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*o - f = 5, 4 = 4*o + 42*f - 41*f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 5837687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is a - -88a?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p = 4*w + 33, 4*p - 4326 = w - 4295 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 3815 - 3?\nAnswer: 3812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + -16 + (141 - (218 - 17))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4 + -3*(sqrt(304) - (-3 + sqrt(304) + 1) - 1*(sqrt(304) - 1*sqrt(304) - sqrt(304))))*2 + 0)**2.\nAnswer: 960*sqrt(19) + 11344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -24 - -53. What is the remainder when i is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 108 = 562*n - 526*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 832630.2 years?\nAnswer: 83263.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from qoovvobvvvboovvoqov.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = 67689 - 13727. Is 37 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -3348 (base 16) to base 7.\nAnswer: -53163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 2, 0.4 in decreasing order.\nAnswer: 2, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -70*h - 15 = -71*h. Suppose h*m - 23*m = -40. Solve c = -m*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -61 - -134. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 23 + -27 + 10 + 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - 4*d - 37 = 3, 4*d - 14 = -5*a. Suppose -b + 14 = a*b. Suppose -n - 2*n + 15 = 0, -b*i + 239 = n. List the prime factors of i.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2595946581 a multiple of 307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 3989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 20 greater than -9911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2 + -2. Let h be -2*(-1)\/(2 + z). Let l(u) = -21*u - 1. What is the remainder when l(h) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -2*(-1 + -1) - 5. Let o = 39 + -38. What is the third biggest value in -0.3, o, x, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.5862471 years to decades.\nAnswer: 0.05862471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, 0.0087, 2 in increasing order.\nAnswer: -0.1, 0.0087, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 41826\/11 > 3803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l, 1 s, 1 x, and 1 f when four letters picked without replacement from afjfslx?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 = 5*u - 4*u. Suppose u = -o + 70. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) be the first derivative of -5*a**2\/2 - 10*a - 3. Suppose 2*u + 2*u + 36 = 0. Is n(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*y - 5*y - 4*y)*(-2079*y**3 + 2079*y**3 - 44*y**4 - 2).\nAnswer: 176*y**5 + 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -49 (b) 4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 12837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u be 0 + 1 - (107 - 34000\/320). Let d be 2*((-2)\/16)\/(-1). Suppose u*h**2 - 1\/4 + d*h**3 - 1\/4*h = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 178.19 rounded to 0 dps?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -79*z**6 - 15949*z**3 - 67076*z**2 + 28 wrt z.\nAnswer: -9480*z**3 - 95694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 8391 - 8336. Let i(z) = 16*z**2 + 4*z + 3. What is the remainder when i(-5) is divided by o?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 133 + -143.5. Let c = 24 - 34. Let y = m - c. What is the third biggest value in -1, -0.3, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 210321, 210431, 210545, 210663, 210785, 210911, 211041?\n\"Answer: 2*u**2 + 104*u + 210215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in -3, -0.34, -3\/8, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(234)\/sqrt(2))**2 - sqrt(13) - sqrt(156)\/(sqrt(108)\/sqrt(9)).\nAnswer: -2*sqrt(13) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*t + 223724*t**2 - 223704*t**2 - 2*t.\nAnswer: 20*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*n = o + 4 + 1, 5*o - 23 = 4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.62 in -0.4, -49, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 43890, 43595, 43300, 43005, 42710, 42415?\n\"Answer: -295*v + 44185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in fifty-two fifths of a hour?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sum 61280099 and 0.17.\nAnswer: 61280099.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = -j - 16 - 4, -t - 2*j = -14. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 105 = 15*w + 117 + 153. Sort -14, -7, w.\nAnswer: -14, w, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 87833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 682907.594 to the nearest ten.\nAnswer: 682910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*x - 41 + 63 = 3*z, 0 = -2*x + z - 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -928 - -936. Sort 6, -2\/13, i, -5 in descending order.\nAnswer: i, 6, -2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c*c*c*c*c**(2\/9)*c))\/(c\/(c*c**14*c))*(c*c*c*c*c**(-2\/13)*c)\/c**(-9) assuming c is positive.\nAnswer: c**(2881\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 1287 = 291. Suppose 0 = -7*q - 70 + 301. What is the remainder when b is divided by q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 359620704.\nAnswer: 2, 3, 1021, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -13 - 2*d - 8 + 20. Give s(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 38\/361 + (-226)\/(-19). Is (-4)\/(-2) + 14304\/k + 5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 26468 is divided by 10144?\nAnswer: 6180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express -2*u**3 + u**4 - 3 + 5 - 3*u**3 + (6*u + 3*u + 43*u)*(3*u**3 + 2*u**3 - 4*u**3) in the form c*u**2 + r*u**4 + b + i*u + z*u**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u = -3*u + 2. Let o(a) = 4*a + u + 2 - 3. Let k(n) = n. What is k(o(j))?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 200*r**3 - 224*r**2 - 16*r + 8. Let x(p) = -133*p**3 + 149*p**2 + 10*p - 5. Let s(f) = 5*q(f) + 8*x(f). Find the third derivative of s(v) wrt v.\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8)\/(-6) - (-1170)\/(-351)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 49*v - 56*v. Solve -2*j - j - 6 = v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1*(-4)\/(-8))\/3. Let m = -902 - -904. What is the closest to 1 in m, a, -1.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.24 and -1637922.3.\nAnswer: -1637922.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Product of 0 and -20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 4 = 116. Let p = s - 13. Calculate the remainder when 50*(27\/5 - 5) is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1257)\/9*(-7 + 4). Let u = -255 + n. Is u a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -138525054*o**4 + 190568506 wrt o.\nAnswer: -554100216*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s be 4 + 0 + (0 - (-3)\/(-3)). Let v be -1 - (s + 2 + -2). Put v, 2, 1 in ascending order.\nAnswer: v, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (9625\/(-105))\/55*6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -y**2 - 16*y + 11. Let g be m(-17). Let o be (5\/(-3))\/((-26)\/g + -6). Put -3, -5, o, 79 in decreasing order.\nAnswer: 79, o, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2, -5.4, -0.5, -4\/9, -3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-21)\/(-8))\/((-117)\/(-312))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 199824447 divided by 1\nAnswer: 199824447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2 - 9b?\nAnswer: -a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find j such that 3*j**5 - 576*j**4 - 17466*j**3 - 59868*j**2 + 17463*j + 60444 = 0.\nAnswer: -23, -4, -1, 1, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Determine d, given that -2*d**4 - 18*d**3 - 6*d**2 + 74*d - 48 = 0.\nAnswer: -8, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = -42 + 46. Let h = 1 + 0. Suppose f + 4 + h = 3*m, -4*m - 5*f + 13 = 0. Put y, -4, m in decreasing order.\nAnswer: y, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 36\/5 + ((-102)\/(-15) - 7). Suppose -c*r - 1 = -57. Solve 4*n - r = -5*m, -n + 0*n - 3*m = -9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -25*l - 14. Let n(m) = 9*m + 5. Let d(c) = 4*k(c) + 11*n(c). Let v(p) = -p - 1. Give -5*d(t) + 4*v(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + 0*j = j + 11, -4*p + 36 = 4*j. Suppose s + 0*s - y = -1, -1 = -3*s + p*y. What is the units digit of 8 + (s - 6\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*s**3 + 3*s**4 + 4*s**3 + 2*s**4 + 4*s**2 - 4*s**2 + (-s + 2*s + s)*(2*s**3 + 0 + 0) + 2*s**4 - s**4 + s**4.\nAnswer: 11*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 83\/2032 and -89\/224094.\nAnswer: 227679504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 167\/24, -19, -1.9?\nAnswer: 167\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*r + 27 - 8*r + 124 - 3*r + 3*r.\nAnswer: -6*r + 151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (sqrt(11) - (4 + sqrt(33)\/sqrt(3) + sqrt(11))**2) + ((-1 + sqrt(11))*-4)**2 + sqrt(495)\/sqrt(5).\nAnswer: -44*sqrt(11) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*p**4\/7 + 26*p**3\/7 + 104*p**2\/7 + 120*p\/7.\nAnswer: 2*p*(p + 2)*(p + 5)*(p + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -4*(1407\/6)\/(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 16, 25, 22, 1, -44, -119?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1678390 and 350.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*y - y + 2*y + 4*y - y - y - 5*y + 4*y + 13*y + 1 - 2*y - 1 + (-y - y + 0*y)*(-2 + 1 + 2) + 0*y + y - 3*y - 2*y + 0*y - y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4*11.4.\nAnswer: -4.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:09 AM and 2:50 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 2021 (base 3) in base 13?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -5*d**2 + 74*d - 13. Let u be r(12). Solve 11*l - u + 199 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - (8 + (-3 + -5 + 4 - -5))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2469.\nAnswer: 3, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xkkrxkwrkrgkex. Give prob of sequence ker.\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -f**3 + 2*f - 1. Let g(x) = 18*x**3 + x + 12. Let v(k) = g(k) + p(k). Find the second derivative of v(z) wrt z.\nAnswer: 102*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -l**2 + 8*l - 19. Let i(x) = x**2 - 48*x + 502. Let g be i(33). Give q(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 315040 = -6*m - 16*m. What is m rounded to the nearest one hundred?\nAnswer: -14300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5429480.31 rounded to the nearest one hundred thousand?\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = g**2 + 5*g + 3. Let u(z) = -z**2 + z - 5. Let h be 0\/4*(-1)\/2. Let w be u(h). What is the units digit of o(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 10183 + (22 - 88\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 126173263?\nAnswer: 191, 660593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = 94.91 + 1.09. Let m = -90 + h. What is the closest to 0 in m, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine a, given that 2*a**3\/5 + 8*a**2\/5 - 142*a\/5 + 132\/5 = 0.\nAnswer: -11, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*v + 30 = 4*q, -10*q - v = 10 - 62 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 + 6 = -2*n. Suppose -4*c + o = -13, -n*c + 8*c + 10 = -4*o. Let b be (c - -1) + 52\/(-20). What is the closest to -1\/2 in b, -1, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5353207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 64*g + 30*g + 34710 = 38846 for g.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 2, l: 2, i: 2}. Give prob of picking 1 e and 1 i.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 0.3*-2.8\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6612 or 6077?\nAnswer: 6077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-14)\/(-490)*14 + (-4)\/(-15). What is the closest to -2 in u, 4, 17, -9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-200)\/(-16)*(-46)\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -r**3 + 71*r**2 + 774*r - 62932. What is b(69)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -563 + 1552062?\nAnswer: 1551166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:40 AM and 2:04 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of (1 - -1) + (3 - -28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 4\/(-6)*(-798)\/(-28). Suppose j + 2 = 15. Let m = j + h. Let v(l) = -l**3 - 6*l**2 + 4. Determine v(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*o**2 + 32950*o + 1354312.\nAnswer: -2*(o - 16516)*(o + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-55)\/(-22)*(-1254)\/165.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4061*t - 2619*t + 2068*t)*(0 + t + 0) to the form q + g*t**2 + w*t and give g.\nAnswer: -4612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-8)\/(-3)*27\/4. Let f be (-6)\/(-4) - (-6)\/12*-37. Let o = a + f. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -13*l**3*n*z**2 + 6*l**2*n*z - l*z + 26*n + 2*z**2 wrt l.\nAnswer: -78*l*n*z**2 + 12*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 7*b - 12. Is c(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 194*a**2 - 15*a + 111. What is the hundreds digit of q(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 113\/684 and 94\/3877083.\nAnswer: 15508332","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: (161\/23 - (-421)\/(-7))*248\/(-1488)\nAnswer: 62\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1303838114 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**2*c*c)**(1\/2)*c**(2\/15)\/(c\/(c**(4\/5)*c*c)*c) assuming c is positive.\nAnswer: c**(44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 23341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 557405 is divided by 1264?\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(324)*1)\/sqrt(12))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 1297135113 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 51*x**3 - 159*x**2 - 186*x + 24 = 0. What is x?\nAnswer: -1, 2\/17, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 660 = 9*z. Find the common denominator of 68\/15 and 280\/z*5\/12.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 785150.8km in nanometers?\nAnswer: 785150800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = y**3 - 7*y**2 + y + 30. Let q be b(6). Suppose -8*v + 7 = -4*v + 5*a, -a - 1 = q. Suppose -2*o**v - 14\/3*o**2 + 8\/3 + 0*o = 0. What is o?\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 2*a**3 - 13*a**2 - 9*a + 9. Let d = -16 + 7. Let k(j) = -j**3 + 6*j**2 + 4*j - 4. Give d*k(f) - 4*y(f).\nAnswer: f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -1638, -3275, -4912, -6549, -8186?\n\"Answer: -1637*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -6794.819*-17\nAnswer: 115511.923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 93\/40 and -55\/12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Product of 212.3 and 0.1.\nAnswer: 21.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b = 4*d - 6, 2*d + 0*b + 3 = b. Suppose d = -3*v - 0*v - 2*k - 109, 2*k = 2*v + 66. Let j = 38 + v. Sort -1, j, -5 in ascending order.\nAnswer: -5, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = y**4 + 2*y**3 + y**2 + y - 1. Let g(r) = 2*r - 18*r**3 + r - 131*r**4 - 3*r**2 + 5 + 124*r**4. Let o(k) = -g(k) - 5*q(k). Let o(a) = 0. Calculate a.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 52489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-80)\/(-2) + 2 + 1 - 2. Let y = 54 - r. Calculate the remainder when y is divided by 3 + 3 + -2*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -3, 0.1046, 2\/21, -0.3, 3?\nAnswer: 0.1046","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*k + 5*k + 50 = 0. Suppose -8*a + 13*a - k = 0. Suppose d + a = 3. Put 0, 4, d in descending order.\nAnswer: 4, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 18 in 5, -0.1, 109, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - (0 - 22) - ((-44 - -169) + -121).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -69 - 102*u - 65*u**2 + 66*u**2 + 121*u. Suppose 7 + 6 = -2*j - 5*f, 0 = 2*j + 3*f + 3. What is the tens digit of y(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 2 s when three letters picked without replacement from {v: 8, s: 3}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = -263.8116 + 333.81305. Let x = -70 + v. What is x rounded to 4 decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y**2 - 14*y - 36. Let f be q(-4). Suppose -5*z + 2*i - 4 = -12, 5*z - 3*i = 7. Let j be -1 - -6 - 2\/z. Solve 4*l = 3*v, 16 + f = j*l + 2*v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 3*d + 17 = d, 4*d = r - 7. Suppose 3*p - 2*x = -r*x + 13, -p + 2*x = -9. Suppose 2*g - p = -1. Calculate the least common multiple of g and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 4*x**3 - 6*x**2 - 12*x. Let f(l) be the first derivative of -3*l**4\/4 + 5*l**3\/3 + 11*l**2\/2 - 53. Determine 6*f(z) + 5*o(z).\nAnswer: 2*z**3 + 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 107360, 107345, 107330, 107315, 107300, 107285?\n\"Answer: -15*n + 107375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-20)\/(-6)*18\/(-12). Let m be (30\/(-5))\/(3\/(-2)). Sort p, m, -17 in decreasing order.\nAnswer: m, p, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 103950 and 8019.\nAnswer: 2806650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v be 6\/4*392\/21. Let x be 50\/12 - (-6)\/(-36). Calculate the greatest common factor of v and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 24\/(-16)*(-4)\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 211239 divided by 3.\nAnswer: 70413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -19*z**3 + 5. Let m(o) = 48*o**3 - 12. Calculate 12*g(p) + 5*m(p).\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let -3\/4*g**3 + 621\/2 + 3\/4*g - 621\/2*g**2 = 0. What is g?\nAnswer: -414, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 269212*n**3 - 134663*n**3 - 134547*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -106030000 to the nearest 1000000.\nAnswer: -106000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -4248 divided by -2124\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -524*i - 652*i = -1344*i - 7224 for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -f + 2. Let u be h(7). Sort u, -9, 2 in descending order.\nAnswer: 2, u, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -13*p - p**2 + p**2 + p**2 + p - 1 in the form g*p + b + v*p**2 and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -18.6 times -1\nAnswer: 18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1567*f**3 + 4610 + 4609 - 9218)*(2 - 2*f - 2) - f**4 - 2*f**4 + 4*f**4.\nAnswer: 3135*f**4 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 5\/3, 66.55, -0.5, -0.3, -5\/2 in decreasing order.\nAnswer: 66.55, 5\/3, -0.3, -0.5, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 48*b**2 - 2 - 37*b**2 + 82*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express y**4 + y**3 + 3*y - y**3 - 2*y - 1 in the form q*y + m*y**3 + j*y**4 + p + o*y**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (-84 - -84) + (-9 - -1) + 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Is 24836 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.04 + -0.01. Let s = 106 - 106.52. Let g = -2.48 + s. What is the closest to 2\/3 in h, g, -3\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (sqrt(7) - (sqrt(7) + (sqrt(28) + 3)**2)) - (-3*(-1 + sqrt(7) - sqrt(7)) + sqrt(7) - (-3 + sqrt(112))).\nAnswer: -38 - 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(-2\/23)*s**3*s assuming s is positive.\nAnswer: s**(90\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 7411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1.2087 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.1 - 0.1. Suppose -49*x + 29*x + 34*x = 56. What is the third smallest value in f, -1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -331843, -1327347, -2986519, -5309359, -8295867, -11946043, -16259887?\n\"Answer: -331834*o**2 - 2*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*k + p + 25 = 0, 7*k - 5*p + 194 - 241 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 155 minutes after 5:23 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -127*w**3 + w**2 + 17*w - 38. Is v(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = d**3 + 24*d**2 + 17*d + 1071. Give h(-25).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-11)\/(-110) - (-2505)\/(-50). Let t be 0 - (3 + 2) - 0. What is the units digit of 5\/(c\/(-916)) + (-2)\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 17300*d + 363310. Give l(-21).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 2, d: 3, m: 4}. What is prob of sequence mcmd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-2)\/98)\/((-5336)\/(-728) - 7) and 61\/60?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) be the third derivative of -1\/120*s**5 + 0 - 3*s**2 + 0*s + 0*s**3 + 0*s**4. Factor w(y).\nAnswer: -y**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -663*w + 5 + 668*w - 510*w.\nAnswer: -505*w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 5*h**3 + 3*h**2 - 3*h + 7. Is 10 a factor of n(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) be the third derivative of -2*q**2 + 0 + 1\/30*q**5 - 54*q - 1\/30*q**6 + 4*q**3 + 0*q**4. What is the derivative of m(d) wrt d?\nAnswer: -12*d**2 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.7899899 micrometers to millimeters.\nAnswer: 0.0007899899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 times 144396.4?\nAnswer: 14439.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: ((9672\/56)\/(-13))\/(263\/1841)\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1530803 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3227174?\nAnswer: 2, 1613587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide 1960 by -490.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 2*t + 31. Give b(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 1 + (-3 - -3) + 5 - -7\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8187371?\nAnswer: 59, 151, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -4*a**2 + 43*a + 319. What is i(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) be the first derivative of -w**5 - 14*w**3\/3 - 31*w**2\/2 - 498. Find the second derivative of s(y) wrt y.\nAnswer: -60*y**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 48 divide 5904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = -11 - -15. Suppose -l - n + 3 = 0, 4*l + 9*n - j*n = 10. What are the prime factors of (-2)\/l + 37\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 2\/59 (b) -2 (c) -1 (d) 3 (e) -0.01 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide -61026986 by -1649378.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = 117 - 117.144. Let i = q + 0.444. Which is the closest to i? (a) -6 (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(-1 + 5 + sqrt(68) + (3 + sqrt(68))*2 + sqrt(68))*-1 + 4)**2*6.\nAnswer: 13824*sqrt(17) + 112224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.18, -75, 0.036 in descending order.\nAnswer: 0.036, -0.18, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Are 12513 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = -61 + 85. Suppose 0 = -2*s + 8, 7*s - 3*s - o = -4*d. Determine u, given that 9*u**4 + 3*u**5 + 9*u**3 - 12*u**2 + 7*u**2 + 8*u**d = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*q**2 + 37522*q - 375020.\nAnswer: -2*(q - 18751)*(q - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 2*j**3 - 19*j**2 - 273*j - 30. What are the prime factors of d(21)?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 41.89905ml to litres.\nAnswer: 0.04189905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -19*n - 49. Let q(i) = 3*i + 8. Let r(w) = -39*q(w) - 6*x(w). Let b(c) be the third derivative of -c**3\/6 + c**2. What is 18*b(y) - r(y)?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4.95 - 0.05. Let h = -6 - j. Let g be (-20 - 58\/(-3))\/(10\/(-9)). What is the closest to h in g, -2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -204, -414, -614, -798, -960, -1094?\nAnswer: -1194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -9, -14, -19, -24, -29?\n\"Answer: -5*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 0*s - 3*u = -27, 0 = -2*s - 4*u + 28. Let y = 5 - s. Suppose 0 = i + 4, -2*i - 20 = 3*p + 3*i. Sort p, y, 4.\nAnswer: p, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7.1705209 rounded to 1 decimal place?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 228*z + 163*z = 39*z + 136224. Calculate the least common multiple of z and 2709.\nAnswer: 2709","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) be the third derivative of 6*m**7\/35 - 5*m**3\/3 + 8*m**2. Find the first derivative of n(y) wrt y.\nAnswer: 144*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/7? (a) -2 (b) 3\/43 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*o**2 + o - o**2 + o**2.\nAnswer: 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 163310*m - 163325*m + 660 for m.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 75639 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*o + 2*o + 2*o)*(2*o - 5*o + 5*o) + (-3*o + 0*o - 2*o)*(23 - 19*o - 23) - 4*o**2 + 2*o**2 + o**2 to the form n*o + f + l*o**2 and give l.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -7707, -31009, -69889, -124341, -194359, -279937, -381069, -497749?\nAnswer: -629971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 153 is divided by 70.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.4641 from -0.04.\nAnswer: -0.5041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-282)\/14 + 1\/7. Calculate the remainder when (-8)\/a + (-526)\/(-10) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b\/b**(-1\/3))**12)**(1\/6)*(b\/(b\/b**2*b))\/(b**(2\/3)\/b)*(b**3*b)\/((b*b*((b**3*b)\/b*b)\/b*b*b)\/b) assuming b is positive.\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -47 + -1a2?\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 35572858.\nAnswer: 2, 23, 53, 14591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -183 + 19 = -82*d. Solve d*f - 16 = -5*c, 0 = 4*c - 20 + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7406340 rounded to the nearest one hundred thousand?\nAnswer: 7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -4 + 0.374079\nAnswer: -3.625921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 30, -33, -170, -405, -762, -1265, -1938?\n\"Answer: -4*k**3 - 13*k**2 + 4*k + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -286216 divided by 15064?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 149\/39996 and 43\/146652?\nAnswer: 439956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(324)\/((sqrt(54) - (sqrt(54) - sqrt(216)\/sqrt(4)))\/sqrt(6)))\/(sqrt(432)*3*-3).\nAnswer: -1 - sqrt(3)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -3166619 rounded to the nearest 1000?\nAnswer: -3167000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 15855 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1535 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 269 * -15\nAnswer: -4035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2159579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) be the second derivative of -5*x**3\/3 + 4*x**2 - 288*x. Give h(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -507 + 507.0006946. Round c to 5 dps.\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*d**2 + 74 - 13*d - 74 - 7*d**2 + 20*d**2 + 12*d**2 - 2*d + 2*d + d**2 + (-5*d + 2*d + d)*(-d + d + d).\nAnswer: 28*d**2 - 13*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o**2 + 16*o - 29. Calculate the remainder when g(13) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -p - 2*w + 4 = 0, 5*p + 3*w - 8 - 26 = 0 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4*(-6 - -25)*4 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3583 + -3583.5. Let r = -3.1 + 3.12. Which is the closest to -2\/3? (a) l (b) r (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (6 - 3 - 5) + -1 - 8\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -c**3 - 10*c**2 - 12*c - 2. Suppose 7*k = 4*k - 27. Is v(k) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1, -46865, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-5)\/35)\/(12\/(-378))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -21*u + 0*u**2 - 6 - 5*u**2 + 0*u**2. Let g(s) = -5*s**2 - 20*s - 5. Let h(a) = -6*g(a) + 5*y(a). Find the second derivative of h(m) wrt m.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -100*r**2 - 80*r - 16.\nAnswer: -4*(5*r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 - 1) + -3 + 24 + -23?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 403483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*n - 14*n**2 - 7*n - 1 + 7*n + 4*n.\nAnswer: -14*n**2 + 8*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -1, 1\/3, -3, 5\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 123259 equal to 123262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.21 + -0.12. Let l = i - -0.79. Round l to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3124 (b) 0.4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5499*g**2 - 243 + 62 + 65 + 57 + 56 - 8*g**3.\nAnswer: -8*g**3 + 5499*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -x = 2*c - 17, 54*x = 85*c - 90*c + 531 + 78 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d be -4 - -6 - 6 - -4. Suppose -f + 9 = -d. Solve -5*l = -8*m + 3*m, 0 = 2*m - 5*l - f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 2*a - 13. Let b(h) = -2*h + 7 - h + 2*h. Let z(k) = 5*b(k) + 2*n(k). Let y be z(7). Solve y*t + t - 12 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g**(-3\/7)*g**(-6))**(6\/23))**42)**(-27) assuming g is positive.\nAnswer: g**(43740\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 23075056 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u + 0*w = -4*w - 16, -4*u = 5*w - 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1077 = -3*q - 3*k + 11862, -2*q - 3*k + 8621 = 0. List the prime factors of q.\nAnswer: 2, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in 3, 4, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from {l: 1, w: 2, m: 4, p: 4, h: 5}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = 7297.7 + -7298. What is the nearest to -69 in -9, -0.2, z, -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 4*b**3 - b**2 + 8*b + 3. Suppose -i = -2*i - 5. Let g(m) = 3*m**3 - 2*m**2 + 9*m + 4. Let f(s) = i*g(s) + 4*v(s). Is 14 a factor of f(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -750 divided by -150?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) be the third derivative of -7*m**2 + 0*m + 1\/6*m**4 - 2\/15*m**5 + 0 - 1\/6*m**3 + 1\/60*m**6. Is t(5) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -156631849 by -14239259.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*h**2 - 8368*h - 16752.\nAnswer: 4*(h - 2094)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 686086729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -7*a - 2 - a**2 + 3 + 2*a**2. Let m = -471 - -444. Let o(j) = 7*j + 195. Let v be o(m). What is h(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) be the first derivative of 5*s**3\/3 + 3*s**2\/2 + 2*s + 5. Let u be o(-1). Solve u*b + 6 = -6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 672 and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 2 - 153*v - 2*v**3 + 174*v - 9*v - 14*v - 1565*v**2 in the form f*v + t*v**3 + c*v**2 + k and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -122666798 equal to -122666801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*m + 367 = p, 3*m + 724 = 5*p + 1103 for m.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*w + 0*w + 2*w)*(-4795*w + 4793*w + 974*w**3 + 336*w**3 + 2).\nAnswer: -1310*w**4 + 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*(sqrt(24) - (sqrt(24) + sqrt(1536))) + -5*sqrt(24)*-3)\/((sqrt(6000) - (sqrt(6000) + sqrt(6000)*1))\/(-3*sqrt(80))))**2.\nAnswer: 5832\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + 54 = 5*f, -4*f = -6*f + j + 21. What is the lowest common multiple of f and 66?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -32 - -34. Suppose 4*f - 2*f = t, f + 4 = 5*g. Calculate the highest common factor of g and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.331 and 6.\nAnswer: 6.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 400 minutes before 8:25 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/3 of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -2*h - 20. Let r(m) = -3*m - 40. What is -5*g(x) + 3*r(x)?\nAnswer: x - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 + 637*a - 584*a - 2)*(-a + 4*a + 2*a) to the form j*a**2 + i + s*a and give j.\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-4\/7))**(-1\/10)*q**8*(q*q\/(q**(3\/4)*q)*q)\/q assuming q is positive.\nAnswer: q**(1163\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 - 63 = -14*b. Suppose z = 0, 3*z = -3*t - 2 + b. What is the highest common divisor of 5 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.07 * 16\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Add -0.15 and -6434403058.6.\nAnswer: -6434403058.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = -14 + 9. Let u = 8 + o. Let g = 502\/5 + -100. Which is the third biggest value? (a) g (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9444*c + 4312 = -9400*c. Calculate the remainder when 299 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -x**2 - 8*x. Let b be k(-7). Let c(i) be the first derivative of 2*i**3\/3 + 3*i**2 - 7*i - 44. Is c(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2*h + 7*h - 3*h)*(-h**2 + 5*h**2 - 2*h**2) + 4*h**3 - 5*h + 5*h)*((-h + 2 - 2)*(-23*h + 123*h + 22*h) - 4 + 4 + h**2 + 2*h**2 - h**2 - 3*h**2).\nAnswer: -984*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 123420 is divided by 4800?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 60425 to the power of 1\/2, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2.3 - 1.7. Let j = y - 10. Let k = 11 + j. Which is the second smallest value? (a) 0 (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 280746914 is divided by 2976.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -a*j*v**4 - a*j*v**2 + 7*a*j*v - 55*a*v**3 + a + 2*j*v**2 - v**6 wrt v.\nAnswer: -24*a*j*v - 330*a - 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -18166, -36260, -54352, -72442, -90530, -108616?\nAnswer: -126700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 3*n + 3. What is the least common multiple of 6 and -1*2 - (-5 + n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 8*n*p**4 + 3*n*p**3 + 2*n*p**2 - 2*n*p - 3*p**3 - 5*p**2 wrt p?\nAnswer: 192*n*p + 18*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:18 PM and 6:03 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/105 of a week in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 221437837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w**4\/13 + 4*w**3\/13 - 34*w**2\/13 - 36*w\/13 + 144\/13 = 0. Calculate w.\nAnswer: -4, -3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 5, y: 3}. Give prob of sequence dydy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8010 is divided by 986?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f be (51\/27 + -2)\/(22\/2217127). Let i = -11205 - f. Let n = 1814\/13 - 50467\/364. Find the common denominator of n and i.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-35)\/180 + (-2)\/(-4). Let n(x) be the second derivative of s*x**4 + 7\/90*x**6 + 10*x + 0*x**2 + 0 - 4\/15*x**5 - 1\/9*x**3. Factor n(p).\nAnswer: p*(p - 1)**2*(7*p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-4 - (-56)\/12)\/((-2)\/(-1074)). Let f = b - 354. Let k(t) = t**2 + t + 3. Give k(f).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 103, 170, 263, 376, 503?\n\"Answer: -v**3 + 19*v**2 + 17*v + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 106 = 8*q - v, 82 = -3*q - 4*v. Let c(o) = -o**3 - 23*o**2 - 24*o - 44. Let w be c(q). Which is bigger: w or 13\/18?\nAnswer: 13\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 16, -4, -0.2, -3\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find h such that 393\/4*h**3 - 4 + 3*h + 77\/4*h**4 + 86*h**2 = 0.\nAnswer: -4, -1, -2\/7, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -13130973 from 0.1.\nAnswer: 13130973.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0482884 rounded to 3 decimal places?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-g + g**3 + g + (-2 + 2 - 1)*(-5*g**3 + 3*g**3 + 0*g**3))*(-2*g - 1 + 1).\nAnswer: -6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 12757181?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -159 divided by -1251344?\nAnswer: 159\/1251344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/(h\/(h**(-2)*h*h)))\/h*h*h*h)**(2\/99)*(h**(-4))**(-2\/83) assuming h is positive.\nAnswer: h**(1124\/8217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19898 + 4022 = -28*y. What is the greatest common factor of 126 and y?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 + 4\/((-104)\/(-1209)) - (-6)\/(-12).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 11 + 22 = 0. Let w be (-2 + 4 + s\/7)*1. Which is the closest to 2\/3? (a) 1\/7 (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m = r + 117, 0*m - 2*m + 2*r + 42 = 0. Solve 0 = -22*k + 30*k + m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 9.82 - 9.52. What is the fourth smallest value in -1\/4, p, 1\/4, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1300719 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 345577.904 to the nearest 10000.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Multiply 64 and 0.23.\nAnswer: 14.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t + 15 = 5*p, 3*p + 2 - 11 = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*t**3 - 3*t - 3*t**3 - t**3 + 3*t.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lzivzhj. What is prob of picking 1 l and 2 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 2*t**2 - 8*t - 6. Let d be r(6). Suppose -3*h + 62 + 52 = 0. Let p = h - d. Calculate the greatest common divisor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3998 - 3958. What is the greatest common divisor of 530 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 866801 or 866795?\nAnswer: 866801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 782055406.\nAnswer: 2, 11, 149, 227, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 150 + 186 = 4*j. Suppose 79*b = j*b - 60. Let f = -16 + 24. What is the smallest common multiple of f and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) be the first derivative of 7*o**6\/180 + o**5\/30 + o**3\/3 - 2. Let x(b) be the third derivative of r(b). Suppose x(n) = 0. Calculate n.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + -5 + (-4 + ((sqrt(500) + 1)*4 + sqrt(500) + -1 + -2)*2*-4)**2.\nAnswer: 9600*sqrt(5) + 800142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 13 = -5. Does 38 divide ((-228)\/5)\/(w\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 143041.1 millilitres to litres.\nAnswer: 143.0411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 626359149 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qznn when four letters picked without replacement from iqaianqaznza?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the first derivative of i - 98. Let l(h) = -2*h + 5. Let r(n) = -3*n + 3*n - 2 - 3*n + 4. Let q be r(2). Calculate q*a(s) + l(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(1\/10)*o\/((o*o*o*o\/((o*o\/o**(-1\/4))\/o*o))\/o))\/(o**2)**(11\/5) assuming o is positive.\nAnswer: o**(-81\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 3*v - 11 = 0, -v - 3*v = 12. Let g = 18 - o. Calculate the remainder when g is divided by ((-4)\/4)\/(3 - 13\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1280 + 1276. Which is the third smallest value? (a) 1.6 (b) 0.2 (c) 2\/13 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2580\/(-20)*(-5565)\/111. Let h = k - 6467. Is 1 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 226879909 is divided by 903904.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 48520 and 220?\nAnswer: 533720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d be 56\/(-26) + 2 - (-5)\/(-52). Let w = 6 + -25. Let z = w - -18. Which is the nearest to z? (a) 1 (b) 0.2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 88.0973l in millilitres?\nAnswer: 88097.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3, 102.27, 1\/55, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -25a + 1872a4?\nAnswer: 187045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3\/464561627 + -5623518468459\/4084425824584. Let m = n + 2\/1099. What is the common denominator of m and (-14)\/3 + 1\/4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12445.050342 rounded to 1 decimal place?\nAnswer: 12445.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in -0.3, 2\/7, -3, 42.8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 175 = -5*g + 30*g. Suppose -g*w - 1371 + 4738 = 0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) be the second derivative of -o**7\/84 + 7*o**6\/15 - 27*o**5\/40 - 10*o - 5. Factor j(m).\nAnswer: -m**3*(m - 27)*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5.39793 rounded to one decimal place?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1\/4, -230, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 103647 (base 10) to base 2\nAnswer: 11001010011011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 83 divide 4869120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = 108 + -22. What are the prime factors of p?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h + 3*w - 8 = -32, -5*h = -7*h - 76*w - 906 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d - 125 = -413. Which is smaller: d or 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -g**2*t**3 - 7*g**2*t + 3*g**2 + 3*g*t**3 + 58*g*t**2 + 35304*t**3 + t**2 - 5*t wrt t?\nAnswer: -6*g**2 + 18*g + 211824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = g**2 - 5*g - 1. Suppose 3*s = 8 - 14. Let i(j) be the first derivative of -j**2 + 2*j - 2. Let o be i(s). What is w(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.609 + 4.609. Let d = -1733\/6 - -2095\/6. Let n = d - 61. Which is the second smallest value? (a) -1\/6 (b) n (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -4414383 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = l**3 + 66*l**2 - 917*l - 53093. What is w(-68)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(285)\/(sqrt(5)*-1) + sqrt(57))\/(sqrt(30)\/(sqrt(10)*2)) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1387 - a7?\nAnswer: -143e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 56034*c**2*u**3*z + c*u**3*z + c*u**3 - 2*c*u**2*z - 60*u**2 - 2*u wrt c.\nAnswer: 112068*u**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -9c + 1?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w\/w**1*w)\/w*w**(-1\/2))**(-15\/4)\/(w**(-11)*w*w*w\/(w\/w**(-13))*w*w*w*w)**(9\/4) assuming w is positive.\nAnswer: w**(339\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 70 and 12650246.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*p + 3*b + 18, -5*p = b + b - 34. Let t = 5 - 1. Suppose y = -4*l + 21 + 36, t*l - 58 = -2*y. Solve -5*j - l = p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38031 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*b - 14 + 130689*b**2 + 14 + 130669*b**2 + 2*b - 261525*b**2.\nAnswer: -167*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - 2) + 3 + 7 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*c + y - 7, 2*c - y + 1457 = y + 1445 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-9 - 1 + 3)*(0*n - n + 0*n) - 4*n + 3*n + 0*n)*(0*n**3 + 2*n**3 - 4*n**3) to the form t*n**3 + u*n**4 + b*n + g*n**2 + l and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 5515*w**2 - 7932.\nAnswer: 11030*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 24266590 is divided by 288.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -15*u**2 + 12*u + 12. Let q(v) = 6*v**2 - 5*v - 5. Let s(n) = -n + 5. Let c be s(-7). Give c*q(m) + 5*a(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 654616707 to the nearest integer?\nAnswer: 25585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 185 is divided by 28.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o**2 + 7*o - 2. Suppose 2 = z - 0. Suppose -4 = d + z*p - 20, 4*d + 4*p - 44 = 0. Give g(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 48 and 2502.\nAnswer: 20016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -428189, -428185, -428185, -428189, -428197, -428209?\nAnswer: -428225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be -1 + (-1761)\/(-15) - (-34)\/(-85). Suppose 12 = -112*d + k*d. What is the greatest common divisor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000202971296 to 7 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -54*q**3 + q**2 - 95*q - 37. What are the prime factors of j(-7)?\nAnswer: 73, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 291*a + 5 = 296*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2)\/(-4) + 11\/(-22). Let j(z) = -z**2 - z - 3. Give j(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.63 in -1\/3, -265, 32?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.04466102 rounded to 3 decimal places?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 29144432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1292862961.\nAnswer: 13, 19, 5234263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = 38011 + -38011. Let n(c) be the first derivative of t*c + 2\/45*c**5 - 8\/27*c**3 - 4\/9*c**2 + 1\/18*c**4 - 50. Solve n(d) = 0 for d.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1\/252 + -5\/63. Suppose 0 = u + 3*u + 4. Put -0.4, i, u in descending order.\nAnswer: i, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -78 or -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 71, 1, 0 in decreasing order.\nAnswer: 71, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 11201002 (base 3) to base 5\nAnswer: 102211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 14107122 by 4702374.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out 3 * 87718.819.\nAnswer: 263156.457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 53064 and 5896.\nAnswer: 53064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j be 184\/7 + (-2)\/7. Let z = 62 - j. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.1 + -0.5. Let q = -20.62 - -20.42. Which is the nearest to 2\/9? (a) d (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.009 (b) -50.773 (c) -0.4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.2 or 70?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 275 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 56639 is divided by 726?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 13, -1708, 0, 12, -5.\nAnswer: -1708, -5, -4, 0, 12, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -4 - -40422020?\nAnswer: 40422011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 456.935 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = -230.5 + 226.5. Let r = -2\/1571 + -12542\/20423. What is the third biggest value in k, -3, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-3)\/2)\/(1*4\/(-24)). Suppose 0 = h - x - 1. Solve 0 = -h*w + 5*w - 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*a**0\/a)**(-10))**30\/(a**3\/a**0*a\/a**(-5)*a**(-3)*a*a) assuming a is positive.\nAnswer: a**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((2 + sqrt(700))*5*6)**2.\nAnswer: 144000*sqrt(7) + 2534400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 9.341467 hours in microseconds?\nAnswer: 33629281200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) be the second derivative of -29*o**4\/12 - 17*o**2\/2 - 8*o - 8. Let y(s) = -2*s + 5. Let c be y(-6). Let p(n) = 10*n**2 + 6. Determine c*p(z) + 6*j(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 17192*g**3*t + 2*g**3 + 4274*g**2*t + 306*g**2 + 2*g*t + 287*g - 1 wrt t?\nAnswer: 17192*g**3 + 4274*g**2 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0001132 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -729 - 9071 = -7*n. Is n a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-52)\/(-156))\/(1\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.5 - -12929.\nAnswer: 12929.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r be 4 - 3 - 0*(-3)\/(-12). Let j(w) = -6*w + w - w - r + 3. Let d(o) = 13*o - 5. Calculate -2*d(k) - 5*j(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 8 and 204.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -30\/62983 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vrm when three letters picked without replacement from rvcmmrccmvccr.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 - 3 - 2) + (-5 - -12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3987216263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 4 = -2. Suppose t*n - 68 = -2*n. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 154*f**3 - 8*f**2 + f - 35. List the prime factors of v(6).\nAnswer: 47, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 313501795*c**2*u**2 - 39*c**2*u - c**2 + 64*c*u - 12*c + u - 9 wrt u?\nAnswer: 627003590*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -7*i**2*k**3 + 4*i**2*k - i*k**3 - 4*i*k**2 + 5749*i*k + i + 940727*k**3 - 7*k**2 wrt k.\nAnswer: -42*i**2 - 6*i + 5644362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2 (b) 2368 (c) -3 (d) 0.5 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) 5 (b) 0.3 (c) 2\/3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 0 - 5)*(-2 + 2 + 2)*(-4*o**2 + 25*o - 25*o).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -1 - -4307?\nAnswer: 4306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: ((-7)\/(-63)*-6 - 0)\/(255\/(-15))\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 139717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 14593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = s**3 + 1. Let j be u(-1). Suppose -18 + 34 = 4*x. Let o(z) = z**2 + 5*z - 5. Let k be o(1). Put x, j, k in decreasing order.\nAnswer: x, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -209090197 divided by -2\nAnswer: 209090197\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 0 - c + 0 + c - 2 + 2 + (-2 + 1 + 2)*(-c - c + 3*c) - 68 + 68 - 25*c in the form z + m*c and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -5 + 34*w + 29*w - 11*w**2 - 53*w + 10*w**2. What is s(5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 238895 and -6?\nAnswer: 238901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/3 in 8, 13, -5, 2\/3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide 15 by 84770.\nAnswer: 3\/16954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1605509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -23*j**2 + 5*j + 6. Let o(c) = 5*c - 4*c + 4*c + 243*c**2 - 267*c**2 + 6. Let z(t) = 2*f(t) - 3*o(t). What is the second derivative of z(x) wrt x?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-25)\/30 - (-5278)\/696.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3\/(-2)*(-2)\/3. Is (2 - 166)\/(-2) + u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -487803851 and -5.\nAnswer: 2439019255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 5, n: 2, e: 2, m: 3}. What is prob of picking 1 w and 1 m?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 2 + -2*25\/11 - -1 and ((-41)\/6)\/(2\/(-4))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (-65 - -3) + (1 + 2 - (25 - (43 + -8)))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 4 + 5*y - 2 + 8*y.\nAnswer: 13*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 1849, 3667, 5487, 7309, 9133, 10959?\n\"Answer: h**2 + 1815*h + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/7, -2\/5, 96290 in descending order.\nAnswer: 96290, -2\/5, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 1131083 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -d**2 - 6*d - 1. Let j be u(-5). Suppose v + j*v = -155. Let w = 58 + v. Is 18 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 39.2937 millennia to months.\nAnswer: 471524.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 21900 by -7300.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Add 0.0219 and -2.44.\nAnswer: -2.4181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 35\/(-8)*((0 - -3) + -7) and (75\/(-369))\/((-1)\/(-3)).\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1 + 1. Suppose t*p = -p - 3. Is p*(-1 + -1) - -9 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4346285, 4346286, 4346287, 4346288, 4346289?\nAnswer: 4346290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 13708 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*k + k - 4*k)*(k + 2*k - k)*(102*k**2 - 102*k**2 + 31*k**3 + (-2*k - 3*k + 3*k)*(k**2 + 3*k - 3*k)).\nAnswer: 116*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -478938 + 50202 = -116*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00002122 rounded to six decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 7\/2 of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply 5 and -8.13.\nAnswer: -40.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -3101 + -1103?\nAnswer: -10210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 991.79cm?\nAnswer: 9917900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3 - 3. Let r(o) = 2*o. Let v be r(2). Let w(a) = -6*a + v*a + a. Calculate w(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = y**2 + y + 11. Let i be x(0). Solve -4*l - 5 = i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.14 * 70012\nAnswer: -9801.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -y + 4 = 9*c - 4*c, -2*c = -2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 904576 a multiple of 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when ((-3576)\/(-4) + (-6 - -7))*1 is divided by 45.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z*z*z**(-5\/4)*z)\/((z*z**(-1\/6))\/z))**(-8) assuming z is positive.\nAnswer: z**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.24 + -0.44. Let s = -0.02 - -0.01. Let k = s - -0.11. Which is the nearest to k? (a) 0 (b) f (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -123 + 9458.\nAnswer: 9335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1495811533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = -8576 - 1024. Suppose -3*j + j = -h. Suppose -4*y + 3210 = -u, 6*y + 3*u = 3*y + j. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c - 2*y = -16, 3 + 3 = 3*y. Let l = 35 + -29. Calculate the greatest common factor of l and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -227 - -226.99849. What is z rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 9362 divided by 9362\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = -20.82 + 6.82. Sort -3, -4, 10, y in increasing order.\nAnswer: y, -4, -3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*k - 24280 = -24763 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -6895 + 6967. What is the greatest common divisor of 387 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3.16 - 2.16. Which is the closest to p? (a) -0.2 (b) 1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*c - 4088*c**2 + 3*c.\nAnswer: -4088*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1804 + 1839. Which is bigger: 49 or y?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 589, 655, 745, 871, 1045, 1279, 1585?\n\"Answer: 2*h**3 + 52*h + 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = -5*g + 4*l + 26, 36 = 4*g - 2*l. Suppose 4*s = 7 + 13, -3*s = -x - g. Suppose -4*h = -x*o + o + 32, 2*h + 14 = o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/((55\/(-20))\/(7\/(-14))).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 59876 is divided by 2222.\nAnswer: 2104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 985952106 to the nearest integer?\nAnswer: 31400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1794 + -1798. Let c be (0 - (0 - 0))\/(-1). Suppose -3 + 2 = -a. Put a, v, c in increasing order.\nAnswer: v, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -76, -112, -180, -286, -436, -636, -892?\n\"Answer: -c**3 - 10*c**2 + c - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) be the first derivative of -232*w**2 + 286*w - 729. Find the first derivative of y(l) wrt l.\nAnswer: -464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 364*m + 31028. Give d(-84).\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 4*j - 2. Let b be -4 + 1 - 18\/(-3). Let p(o) = 2*o**3 - o - b*o**3 + 1 - 3*o**2 + 5*o**2. What is p(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42*h = -29*h - 78. Suppose -h*m + 10*m + 3*a = -1436, 5*m - a + 1776 = 0. Is -356 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -8 - -8.28. Let j = -0.02 - u. What is the second biggest value in 3, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 10*h + 10 + 11*h + 12*h**2 - 22*h. What is the hundreds digit of s(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1243\/3 - -415. Let s = 42.05 + -42. Which is the smallest value? (a) s (b) 0.04 (c) -0.2 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 86814963107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = 8383 - 8372. Which is the third smallest value? (a) x (b) 5\/2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -5*h**3*k**4 + 1028*h**3*k**2 - 21*h**3 - 5*h**2 + 4*h*k wrt k.\nAnswer: -60*h**3*k**2 + 2056*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 0.16*-175.49\nAnswer: -28.0784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + 24\/(-7) + (-108)\/189?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 11, h: 3}. Give prob of sequence ha.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 73 + (-33 + 11 + 23 - 27)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 92912 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 13\/28060 and -133\/5856?\nAnswer: 673440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 1, a: 1, n: 1}. Give prob of sequence an.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(350)*-2 - sqrt(350))\/sqrt(10) - sqrt(35) - 1*sqrt(140))\/(sqrt(84)\/(sqrt(36)\/sqrt(3))*-5))**2.\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 10 = 12. What is the second derivative of -6*t - 3*t**4 + 15*t + u*t**4 wrt t?\nAnswer: 96*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/((28\/(-7))\/(-12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -113 - -117. Let k be -3 + 6 + (-11)\/y. Is 0.53 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 45739 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 160*h**3 + 2*h**2 + 2*h - 23.\nAnswer: 960*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 58 - 38. What is the hundreds digit of 8\/10*5050\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j + 4 = -5. Let f be 60\/(-9)*(-6 + j). Let t = f + -17. Solve 0 = t*x + 4 - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (58\/8)\/(1\/28). Let p = r + -1012\/5. Let t = 129 + -127. Which is smaller: t or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000033106 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 38742 to the power of 1\/2, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 146750135 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = 30 - 55. Let q = -21 - i. Which is the nearest to -1? (a) -0.5 (b) q (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -165.343592 or 1\/3?\nAnswer: -165.343592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*o - 17*o + 1925 = -83*o for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 100?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -7.71174 to 0 dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1 - -22203?\nAnswer: 22210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 11*q. Let p(y) = -8*y**2. Give p(j(r)).\nAnswer: -968*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 180907*m**3 - 6*m**2 + 9341?\nAnswer: 1085442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 4, 1, 18.98, 3 in decreasing order.\nAnswer: 18.98, 4, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = r + 22. Let m be k(0). Let w = 37 - m. Suppose 5*g + 3*c = 95 + w, -g + 22 = -c. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 5*p + 173. Determine w(-11).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 197*l - 199*l + 178. What is the remainder when l is divided by 32?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 2, g: 1, h: 3, f: 4, o: 2, m: 3}. What is prob of picking 1 g, 2 k, and 1 o?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = 40 + -31. Solve 3*o + 19 = -4*h, 4*h + o + g = -0*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from {c: 1, y: 5, g: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 0 - -1002011?\nAnswer: 1002011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 8402550 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 465 and 5.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 0.015, -2\/19, -2\/33?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 28515 divided by -15\nAnswer: -1901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) be the second derivative of 49\/2*q**2 + 0*q**4 - 4\/3*q**3 - 1\/20*q**5 + 0 - 42*q. Differentiate y(p) with respect to p.\nAnswer: -3*p**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 889369202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -18.81088191 to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) be the second derivative of 0*u**4 + 0 - 3*u - 1\/6*u**3 + 1\/2*u**2 - 6*u**5. Let w be j(1). Round w to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6710 is divided by 6704.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y - 5*j = -0*j - 12, -4*j + 6 = y. Suppose 75 = -z + y*z. What is the lowest common multiple of z and 4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -3690*n + 6261. Let g(k) = -11010*k + 18782. Let t(u) = -4*g(u) + 11*y(u). Differentiate t(s) with respect to s.\nAnswer: 3450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.3 and 0.103925142?\nAnswer: 0.196074858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 77184 and 581895?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 33571249?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*g**3 - 7*g**3 + g**3 + 0*g**3.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 111201 - 21?\nAnswer: 111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g be 433\/(-6) + (-6)\/(-9). Let h = g - -70. Is h != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) be the third derivative of -19\/60*h**5 + 0*h**3 + 0 + 0*h - 19*h**2 + 0*h**6 - 1\/16*h**8 + 0*h**7 + 0*h**4. What is the third derivative of d(n) wrt n?\nAnswer: -1260*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 167316 and 320?\nAnswer: 13385280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j - 1611*u = -1614*u - 91, 3*j + 24 + 102 = -4*u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 16 = -2*g + 2*n, -683*n = -3*g - 24*n - 5272 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/20, -91897\/6, 0 in increasing order.\nAnswer: -91897\/6, -3\/20, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 493876 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 4*v**3 - 35*v**2 + 48*v - 368. Give x(14).\nAnswer: 4420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 20 - 17. Let g be (-3)\/21 + (-334)\/14. Let p be g\/99 + (-2)\/(-6). What is the nearest to p in 0.4, z, 4\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -j*w + 571*j + 32*w wrt w.\nAnswer: -j + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 6223428, 6223453, 6223478?\n\"Answer: 25*a + 6223403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be (118\/(-236))\/(2 - (-618)\/(-308)). Let m be (-1*4 + 1)*-1. Suppose m*q - 19 = f. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2648 (base 9) in base 15?\nAnswer: 8c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -1327, -1340, -1439, -1624?\n\"Answer: -43*g**2 + 116*g - 1400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rvyvrpe. What is prob of sequence yp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 1266958 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -4 (b) 2 (c) -0.2 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 49295741?\nAnswer: 11, 4481431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = -520 - -525. What is the highest common factor of 37 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1 + 1. Let r = 26.3 - 26. Which is the closest to 0.3? (a) r (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 715243885?\nAnswer: 5, 19, 47, 8431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) be the first derivative of 3*s**3 - s**2\/2 - s - 3. Is k(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -0.034444?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 4*t - 6. Let u(g) = 2*g. Give u(j(n)).\nAnswer: 8*n - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (136 + 115 + 17)*(2*z + 11 - 11) - 3*z + 2*z + 2*z + (4 - 4 + 2)*(4*z - 4*z - 2*z) + z - 4 + 4 + (-1 + 1 + 2*z)*(0 - 1 + 0) + 4*z - 5*z - z + z + 4 - 4.\nAnswer: 531*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 258792 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(192) - (-1 + sqrt(192))**2)*6 + ((sqrt(192) + 0)*1)**2 - ((sqrt(192) + -1)*-5 - (0 + sqrt(192))*2)**2.\nAnswer: -10399 + 704*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 567912541.\nAnswer: 7, 81130363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 27, -2\/9, 5 in descending order.\nAnswer: 27, 5, 2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 550621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-3)\/((-6)\/(-37))*-2*5. Suppose 8*h - 648 = 6*h. Let s = h - p. Calculate the remainder when s is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -2*(4\/(-6) - 2\/(-12)). Let c be r + 5 + -14 + 10. Factor -4*g**c - 2*g + 2*g + 4*g + 24.\nAnswer: -4*(g - 3)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 5*x**2 + 24*x + 28. Let p(r) = -3*r**2 - 16*r - 19. Let d(i) = -5*j(i) - 8*p(i). List the prime factors of d(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 74 - 72. Let q be (-2)\/(-2) + 5 + -1. Suppose 9 = -3*c - 5*f, q = c + f - 2*f. Solve -3*d = 2*u + 11, p*d + 4*u = c*u - 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -13 + 1 + -32 + 48 - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Total of -273 and 294.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) be the third derivative of 1\/120*x**6 - 17*x**2 + 0*x**3 + 13\/60*x**5 + 0 + 1\/2*x**4 + 0*x. Let z be o(-12). Solve r - 2*r - 4 = z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -90\/7*b**2 - 24\/7*b**3 - 108\/7*b + 0 - 2\/7*b**4.\nAnswer: -2*b*(b + 3)**2*(b + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pccp when four letters picked without replacement from cpccpcppcc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -2*r - 1. Let z(n) = 2*n + 1. Calculate 2*g(a) + 3*z(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:28 PM and 10:02 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Total of 13.3 and 0.32.\nAnswer: 13.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -139*g**3 - 1475*g**3 + 437*g**3.\nAnswer: -1177*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 8884112, 17768186, 26652260, 35536334, 44420408, 53304482?\nAnswer: 62188556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 58*w. Let v(z) = -2*z. Let t(d) = 6*d. Let j(b) = t(b) + 4*v(b). Determine m(j(a)).\nAnswer: -116*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 29899716 divided by -924\nAnswer: -32359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 608 and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 32\/75 or -1?\nAnswer: 32\/75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.002 + -13.998. Let c = 160777332.00000052 + -160777318. Let j = h + c. What is j rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-8)\/(-90))\/(2\/(-5))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = 3*u + 58. Calculate s(-19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1 - 22022?\nAnswer: -22021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j = -69.71702 + 69.78. Let l = 0.062 - j. Round l to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1474970 a multiple of 535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = 13 - -43. Suppose 0 = 2*j - j - q. Suppose -s = -5*y - 15 - 16, -4*s + 3*y = -j. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pewmmp. Give prob of sequence em.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -128*q + 49*q + 41*q - 5*q + 45*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*b - 3 = -19*b. Let l(q) = 9*q - 2. Let y be l(b). Suppose 2*a - 42 - 14 = 0. Calculate the highest common divisor of a and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -5162 (base 10) to base 8.\nAnswer: -12052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1)\/(-14)*(-435)\/(-10). Let l = o - 983\/224. What is the common denominator of 652\/(-126) + (725\/(-2475) - (-2)\/11) and l?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/7*(-7252)\/(-444).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 257103 to the power of 1\/2, to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sum -78829635 and -509.\nAnswer: -78830144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 52835?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 8*a - 5. Let n be h(12). Let r = n + -61. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from ettwnvwnnttttwwxw.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -33, -60, -101, -156, -225, -308, -405?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:42 AM and 11:19 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -85*t - 9*t = -17*t - 2390619. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -194*l + 4. What is the remainder when d(-1) is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -18 + 25. Let z(d) = 2. Let a(t) = -2*t + 14. Let c(u) = -a(u) + 2*z(u). Calculate the lowest common multiple of c(h) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1096219367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = y - 6*y + 5*g, 4 = -4*g. Suppose 3*h - 5*c + 15 = -0*h, -h + 12 = 4*c. Solve k - y + 2 = h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 22*a**2 - 2*a**2 + 25*a**2 - 7*a**2 + 1 to the form c*a + k + x*a**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c + 15*l = 100, 4314*l + 11 = c + 4316*l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -7034 or -7035?\nAnswer: -7035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.01, 4, 13, -10, -9, -4\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 2, f: 4, k: 3, i: 2}. Give prob of sequence ifff.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j be 8\/52 - (-106)\/(-13). Let i(u) be the third derivative of -u**4\/24 - 2*u**3\/3 + 89*u**2. Calculate i(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u = 4*v + 175 - 23, -v = -2*u + 43. Let d = -28 - v. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in -1, -89, 4\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -4.3 equal to 2\/9514027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -8 in 7, 2, 177.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 73*z**3 + 2*z**2 + 2*z + 1. Let c = -6 + 5. Let d be n(c). Let x = d + 144. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10010000100000010110 + -10?\nAnswer: -10010000100000011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -251 divided by -25237.\nAnswer: 251\/25237","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Let m = 8\/11 - 177\/77. Put 5, 0, m, 2 in descending order.\nAnswer: 5, 2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 157874337 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = 429 + -230. List the prime factors of h.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 54 (b) 2\/5 (c) -2 (d) -1\/5 (e) 2\/11 (f) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 12673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -0.07 + -1917846.8?\nAnswer: -1917846.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 213*g**2 - 12*g**4 - 206*g**2 - 12*g + 10*g**4 + 16*g**6 wrt g.\nAnswer: 1920*g**3 - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -8516 - -8436.03. Round h to the nearest integer.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -0.2, -20, -0.05, -5, -3, -2150, 7?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1 less than or equal to 44\/151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 13175070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o be 78\/(-52) - 124034\/(-4). What is the highest common factor of 202 and o?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 80893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eejvdpeepdepevep. Give prob of picking 1 p and 2 v.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 36 and 253998?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 6*z**3 + 7*z**2 + 4. Let x = 2 - 6. Let j(o) be the second derivative of o**5\/20 + o**4\/12 + o**2\/2 - 87*o. Determine x*j(d) + b(d).\nAnswer: 2*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in 134, 253, 374, 497?\nAnswer: 622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 731*419.\nAnswer: 306289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/((-1)\/(12\/(-6))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h be -1*3\/(-27)*2. Is h greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -5*j**2 - 4346370*j - 944546608845 = 0. Calculate j.\nAnswer: -434637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -633587*d - 11404567. Determine k(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(((sqrt(272) + -4*(sqrt(272) + 0) + sqrt(272) - sqrt(272)) + sqrt(272)*-2*1)**2*6 + -2).\nAnswer: -203990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -5, 5, 4, 6 in descending order.\nAnswer: 6, 5, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3 + 3.048. What is m rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -383 + 352. Let l = q + 39. Which is bigger: l or 5\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 10860*f**2 + 4474*f.\nAnswer: 21720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 119413 and 343.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1053216.\nAnswer: 2, 3, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -2*j. Let y(k) = -1767*k. Give z(y(n)).\nAnswer: 3534*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 172573*c**2*j**3 - 255420*c**2*j + c*j**5 wrt j.\nAnswer: 1035438*c**2*j + 20*c*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -650*b - 16892. Suppose 0*i = 4*i + 28. Let c(h) = -9*h + 6. Calculate the remainder when c(i) is divided by d(-26).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 97907220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 1 (b) -3 (c) -2\/13 (d) -0.4 (e) 15 (f) -2827\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1)\/(-2)*6 - -1. Suppose -d = x*d - 375. Suppose 0 = 4*g - 26 - 78. What is the remainder when d is divided by g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*f + 5*g = -18 - 3, 17 = 2*f - 3*g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*y + 6 - 6.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q - 5*y - 4 = 0, 2*q - y - 8 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -10 + 3c2?\nAnswer: 3b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8013607 is divided by 8013446?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.078 - 28.078. Let i = j - -27.99999648. Round i to 7 dps.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 750 and 182.\nAnswer: 68250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 238 minutes after 1:38 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:34 AM and 10:41 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 131278784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*r - 4*r = -36. Suppose -5*a + r = -4*a. Solve 3*h - 5*y = 0, a = -5*h + 5*y - 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t = s + 3840 + 248, 5*s = 3*t - 3049. Let q be -3*1*62\/t. Which is the nearest to 0.1? (a) 37 (b) q (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 33749568 and 384?\nAnswer: 67499136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) be the second derivative of 2*b**3\/3 - 2*b**2 + 2*b. Let a(g) = -63*g + 633. Let o be a(10). Let p(v) = -5*v + 5. Give o*q(u) + 2*p(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8452.\nAnswer: 2, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l - 3*n + 8 = 0, n - 9 + 23 = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -4*v + 4. Give n(28).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 156403766, 156403764, 156403762, 156403760, 156403758, 156403756?\n\"Answer: -2*a + 156403768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -117 - -116.6. Let d = 8374 - 33737\/4. Let h = d + 60. What is the biggest value in 2, h, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 436267 (base 8) to base 4.\nAnswer: 203302313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -k**2 + 7*k + 9. Calculate q(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -115 (base 12) in base 4?\nAnswer: -2201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 648 divide 14021424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*g = 4*m + 10, -m = -4*g - 0*g + 16 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 3*m + 44 - 319 = 0, 4*a - m + 220 = 0. Let r be 123\/(-5) + (-33)\/a. Let q be 35\/14*r\/(-5). Calculate the greatest common divisor of q and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1521\/(-39) - -36)*(0 + 4\/12)*41.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 636 minutes after 4:14 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -0*m + 31*m - 57 + 212 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 28041, 1, -8 in descending order.\nAnswer: 28041, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 838 = -4*f + 5*v + 937, f = -3*v + 29 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 86 - 27*h - 56969*h**2 - 56976*h**2 + 113947*h**2. Calculate j(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -307 + 99 = -16*c. Suppose 0 = -7*x + c*x - 60. Solve 3*v - 2 = x for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 4*h - 9. Let s(x) = x - 1. Let u(b) = 3*n(b) - 21*s(b). Let w be u(-4). Suppose r - w = -4*r. Solve 2*c = r*c + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -35*g - 14. Let y(a) = 127*a + 55. Let s(q) = -11*m(q) - 3*y(q). Calculate s(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 210600803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28 + -5 + (-53 - -76).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 449.974028 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -u**3 - 18*u**2 - 17*u - 25. What is s(-17)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Product of 40.1739 and 3.\nAnswer: 120.5217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*n + 5*n - 105 = -4*n. Sort 3, 0.4, n, 0.5, 2 in descending order.\nAnswer: n, 3, 2, 0.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -326, 77.9, -5, -8\/11 in ascending order.\nAnswer: -326, -5, -8\/11, 77.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 201 a factor of 12278286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -56, 0.3, -105, 2 in increasing order.\nAnswer: -105, -56, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*i - 3*i - i)*(108*i - 376*i**2 + 141*i - 249*i).\nAnswer: 752*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*-6*-3*6*((-1*sqrt(102))\/sqrt(2))\/(sqrt(15)\/sqrt(45))*-6.\nAnswer: -7776*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 166 - 2488\/15. Sort 2\/5, o, 0.2 in ascending order.\nAnswer: o, 0.2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 49.27231cm?\nAnswer: 0.4927231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (74 + -79 - 20) + 2554\/102\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 95 + -93. Solve 2*a + 2 = 4*y + 4, x*a + 1 = y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -40 - 32?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 14256, 57509, 129598, 230523, 360284, 518881, 706314?\n\"Answer: 14418*n**2 - n - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -103*f**2 + 11 - 97*f**2 + 198*f**2 to c*f**2 + g + o*f and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = 92 - 62. Suppose 2*g - 200 - j = 4*p, 0 = 2*g + 2*p - 254. What is the highest common divisor of g and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -36987 divided by 53?\nAnswer: -36987\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g be 174\/(-9)*(1 - 76\/(-8)). Let l = 210 + g. Does l = 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 496 minutes before 12:43 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = 12 - 3. Let b be ((-1)\/6)\/((-2)\/c). Let l be (3\/6)\/(2\/(-20)). Sort l, -2, b in increasing order.\nAnswer: l, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4807 and 2508.\nAnswer: 57684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1550051.\nAnswer: 1550051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/3 in -2\/19, -1\/4, -4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 58638469 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*a - 2*z = -22*a - 2470, 3*a - 5*z - 7410 = 0. Is 26 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 51\/4 of a millimeter?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-3)\/(-6) - -6*27\/12. Let i = 2 + 3. Suppose -2*z - 175 = -5*l - z, i*z + 35 = l. Calculate the greatest common divisor of l and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seven sixths of a day in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 584635 to the power of 1\/2, to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 31225968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -3*h + 15. Let r = 15 + -26. Let v be p(r). What is the highest common factor of v and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -323302322 - 111303?\nAnswer: -330020231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4759 + 6913. What is the remainder when n is divided by 127?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15 + -96 + 3 - (41 - 45).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*o + 3*o + 10. Let q = 1.07 - 0.07. Let j = 0 + -0.2. What is the closest to q in -3\/7, o, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*f**3 - 3*f + 3*f)*(-3 - 23 - 8) to q*f**3 + y + o*f + i*f**2 and give q.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) be the first derivative of 1761*p**5\/5 - p**2 + 4642*p + 2205. What is the derivative of b(i) wrt i?\nAnswer: 7044*i**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*o + 4 = o + 2*d, 0 = -d - 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -195, 1, -4 in increasing order.\nAnswer: -195, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 562575394 is divided by 695?\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*a + 19*a**3 + 17*a + 37*a**3 + 29*a**3.\nAnswer: 85*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -50*m**2 - 13487715*m - 4046310.\nAnswer: -5*(m + 269754)*(10*m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (58*h - 77*h - 2*h**2 + 48*h)*(-20 - 27 + 16) to the form p*h**2 + d + k*h and give p.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -70 = 11*f + 172. Let h = -22 - f. Sort -5, h, 3, 5.\nAnswer: -5, h, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*j**4 + 5*j**4 + j**4 + (6 - 6 - 14*j**2)*(0*j**2 + 25*j**2 + 11*j**2).\nAnswer: -502*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 169508696?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 1430 = 93*i + 17*i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 95, 81, 69, 59, 51, 45?\n\"Answer: v**2 - 17*v + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(sqrt(704) + (sqrt(704)*-2)**2).\nAnswer: 16*sqrt(11) + 5632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1792 divided by 80.\nAnswer: 112\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2818.\nAnswer: 2, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -156 less than 52825.354?\nAnswer: 52981.354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of (-4 + 6 - (-6)\/(-3)) + (22927 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 324 minutes after 5:55 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = p**3 + 5*p + 19. Let h be i(-3). Let z be -2 + -6 + h\/(-3). Which is the closest to 0.1? (a) 1\/6 (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Convert 158.3135 weeks to minutes.\nAnswer: 1595800.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*k + 9106 - 15035. What is the greatest common factor of k and 231?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -14430 - 1077?\nAnswer: -15527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 2539706777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: What is 3\/32 of a day in minutes?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l be (2 + 4)*1\/2. Let p(h) be the third derivative of h**6\/120 - h**5\/60 - h**4\/6 - 2*h**2. What is p(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve j = p - 3, 1512 = -2*j - 42*p + 1550 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 43 and 53234989?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2)\/((-9)\/45 - 14\/30). Suppose x*s = -4*r + 1008, r - 4*s = -9*s + 252. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -9030b6 + -6?\nAnswer: -903100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 101111101101 (base 2) in base 15?\nAnswer: d88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 109598066 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 13373115?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 4, 27514, 4\/3, 0.4, 2, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 302*w = 297*w - 6735, w = -4. Calculate the highest common factor of 221 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qp when two letters picked without replacement from {r: 2, w: 2, q: 5, k: 1, p: 5, n: 1}?\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -202a6b (base 12) to base 3\nAnswer: -221112111102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 91*r - 92*r + 822 = 3*t, 5*r + 290 = t. What are the prime factors of t?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2985 is divided by 103.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express (-11*d**2 + 3*d**3 + 11*d**2)*(-4*d + 5*d + 0*d) + 4*d**4 - 5*d**4 - 3*d**4 in the form t*d**2 + z*d**4 + m + u*d + r*d**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 385143 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) be the first derivative of m**2\/2 + 2. Let j(z) = -4*z**2. Determine h(j(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -0.116683, 5\/2, -5, 4, 7?\nAnswer: -0.116683","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is b6 - -5?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -966251*m*n*v**3 + 2*m*n*v**2 - 46*m*n - m*v**3 - 110*m*v + 3*n*v**3 + 2*n*v**2 - 7*v**3 + 369*v**2 wrt v.\nAnswer: -5797506*m*n - 6*m + 18*n - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by 13?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 40368 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -14? (a) -3 (b) 4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 7 - 11. Let k = x - -3.9. Let l be ((-2)\/8)\/(5\/4). What is the closest to -0.1 in k, 0.2, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = 4*y - 82. Suppose 4*u = -2*u + y. Suppose 5*m - m - 16 = -u*p, -4*m - 20 = -5*p. Solve s + 2 = -s, s = d - p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let b be (-80)\/(-6) - (-6)\/9. Let n(q) = 22*q + 38. Let m be n(4). What is the highest common factor of m and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000374315 rounded to five dps?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 8.322220728 minus -0.7807?\nAnswer: 9.102920728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 60*t - 143491 - 60029. What is the smallest common multiple of t and 12?\nAnswer: 10176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 568 minutes after 7:44 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 600 and 9139400.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000287815 to 6 decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 139671607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - 65 = -9*l. Suppose -6*x + 10*x - 4*v - 416 = 0, 4*x = l*v + 420. Is 20 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/v**(1\/2))**(11\/9))**(2\/59)\/((v**6\/v*(v*v*v**(-1\/8)*v)\/v)\/((v*v**1\/v*v*v)\/v)**(-24)) assuming v is positive.\nAnswer: v**(-233021\/4248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 106545 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -4 (b) -54 (c) -2\/73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = 105*c. Let a(q) = -51*q. Let b(h) = 339*h. Let u(r) = 20*a(r) + 3*b(r). Give k(u(g)).\nAnswer: -315*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 79747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) be the third derivative of g**5\/15 - g**4\/4 - 5*g**3\/3 + 10*g**2 - 173. Give i(-3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 186.7888l?\nAnswer: 186788.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 11 + -3 + -2 + 2 - (7 + -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - f = 4, 0*s - s - 2*f = 9. Let d be (-4)\/12*3 - (0 + -1). Which is greater: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 6*r. Let j(c) = -c - 3. Let q(t) = -4*t - 14. Let a(o) = -14*j(o) + 3*q(o). Let v(z) = 2*z - 2. Let g be v(5). What is g*a(h) - 3*w(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 193875054?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 1\/13, 0.22, 1\/72, 0.4, -0.6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -497 divided by -6.\nAnswer: 497\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -5061 + 13*d + 5*d + 5059. Let c(z) = z**3 + 73*z - 9. Determine -9*b(i) + 2*c(i).\nAnswer: 2*i**3 - 16*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 - 4 = q - 5*b, -2*q = 2*b - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 9.002577647 rounded to 3 dps?\nAnswer: 9.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Subtract -2416079179 from 12.\nAnswer: 2416079191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 92*u + 74*u = -13*u - 2864 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(-1 + -6*(sqrt(343) + sqrt(343)*2*-6 + sqrt(343) + sqrt(343) + sqrt(343) + -2 + 4)**2) + -3.\nAnswer: -526951 + 5376*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 72*t - 76*t = -2*x + 20, 3*t = -4*x - 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 34166224\/59 or 579090?\nAnswer: 34166224\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 308*t**2*v**3 + 2*t**2*v**2 + 10*t**2 + 124 wrt v.\nAnswer: 924*t**2*v**2 + 4*t**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 7 times 0.3\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -160*v + 834070 = 179030. What is the greatest common divisor of 712 and v?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zfqfxxs. What is prob of sequence ff?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1, -5, 0.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -226352 divided by 43\nAnswer: -5264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.4, 4\/2879, 0.5?\nAnswer: 4\/2879","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 1 + 3)*((0 - 5 + 3)*(-i + i - 2*i) - 1 - i + 1).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.29 * 5.\nAnswer: 6.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 1660 = 39*h - 143*h + 204 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4816.32 + -4916. Let p = 100 + s. Which is the third biggest value? (a) -4 (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -k**2 + 6. Let w be v(2). Let y(b) = -b**2 - 6*b + 3. Let c be y(-6). Find the third derivative of 0*h**4 - c*h**2 - h**w + 4*h**4 - 3*h**4 wrt h.\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -10, 1\/7, 255, 4 in ascending order.\nAnswer: -10, 1\/7, 4, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert -1322 (base 7) to base 16.\nAnswer: -1fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-17 - -1) + -484 + 499.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 20*g - 113. Calculate p(18).\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 478415519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + -6*(sqrt(1900) - (-1 + sqrt(1900))))**2 + -6*(((sqrt(1900) - -2*sqrt(1900)) + sqrt(1900))**2 + 3).\nAnswer: -182369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/7 in -5, -3\/4, -0.1, 0.02?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/4219585 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 39 a factor of 375764293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -13*r + 76*r + 22*r to x + n*r and give n.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -383.98 times 11483\nAnswer: -4409242.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -35911 not equal to -35912?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w**(1\/2)*w*w*w*w)**3)**(-1\/10))**29 assuming w is positive.\nAnswer: w**(-783\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z**(-1)*z)\/z**3)\/((((((z*z*z\/(z\/(((z*z**(2\/5)*z)\/z)\/z)*z)*z)\/z)\/z*z)\/z*z)\/z)\/z)**41 assuming z is positive.\nAnswer: z**(113\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1*4131504\/42 + (-3)\/21 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -500297 by -30.\nAnswer: 500297\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1525360.\nAnswer: 2, 5, 23, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*b**2 - 463 - 460 - 280*b + 1388 - 460 to t*b + s + z*b**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((112\/(-21))\/(-8))\/(10\/(-165)). Let q(n) = -n + 13 + 23 + 4*n. Let k be q(l). Solve k*p - 5*o = -4 - 11, -3 = -o for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1, 0.2, 2\/103, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((sqrt(360)*2)\/sqrt(6))\/(-5*sqrt(300)).\nAnswer: -2*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 5*v - 3*b = -5, 5*v + 2*b + 4 = 0. Is v\/(-12) + 32646\/36 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 2571, 5124, 7683, 10248?\n\"Answer: 3*o**2 + 2544*o + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 165\/(-1575)*-4 - (-4)\/(-14).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 19*t**4 + 16*t + 12*t - 21*t**4 wrt t?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1408 less than -4?\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + -14 + 1 + 3 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 499 (base 10) to base 6\nAnswer: 2151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.615 + 0.50132. Let b = t - 181.36732. Let a = b - -180. What is a rounded to two dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -55*v**2 + 340*v - 39*v**2 - 340*v.\nAnswer: -94*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9)\/(-120)*4*4\/6.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -h + 4*h - 9*h**5 + 5*h**5 wrt h?\nAnswer: -80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:28 PM and 5:46 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -472, -28, 4.\nAnswer: -472, -28, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3\/(-5) + (-1128)\/(-30) + -5. Suppose -2*r = -3*o - i, 5*r = -4*o - 27 + 84. Solve -3*b + 2*w = -8, 5*b + 3*w = 6*w + r for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -i**3 - 2*i**2 + 2*i - 3. Let f be z(-3). Let h be (5 + 1)*10\/(-15). Let k be h*3\/6*-1. Solve k + f = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 704307.9l in millilitres?\nAnswer: 704307900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/12 or 468\/11?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1568 and 160?\nAnswer: 7840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pxp when three letters picked without replacement from {q: 2, x: 11, p: 6}?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find i such that -21*i**5\/2 - 498201*i**4 + 42160095*i**3\/2 - 261771924*i**2 + 793126158*i - 205726680 = 0.\nAnswer: -47490, 2\/7, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 2053481063 a multiple of 311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express -c + c + c**2 + 2*c**2 + 2*c**2 - 6*c**2 + (2*c + c - 2*c)*(0 + 0 - c) + (3*c**2 - 2*c + 2*c)*(-1 + 3 - 5) in the form n + a*c**2 + p*c and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -9*n - 312. Let i be t(-33). What is the fourth smallest value in -1, 0.3, i, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2894*t + 2893*t = 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 202853, 405740, 608627, 811514, 1014401?\n\"Answer: 202887*c - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -152 - -202. Calculate the greatest common factor of y and 3550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 38051 - 19406207\/510. What is the common denominator of p and -64\/357?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 5*l - 2*l. Suppose 0 = 3*h - 3*y - 112 - 68, 0 = -l*h - 5*y + 300. What is the common denominator of ((-65)\/h)\/(2\/44) and -29\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 249 - 145. Suppose 6*q = -2*q - p. Let t be (-13 - -16)\/((-6)\/(-10)). Put 0, t, q, -3 in descending order.\nAnswer: t, 0, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:57 AM and 8:57 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -11, -22, -37, -56, -79, -106?\n\"Answer: -2*z**2 - 5*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -i**2 - 2*i + 5. Let g be f(-4). Let l be g + (-2 - -4) + 3. Find q, given that l*q**2 - 2 - 3*q - q + 4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 9 - 4. Find the third derivative of -2*u**4 + d*u**2 + 6*u**4 + 3*u**4 wrt u.\nAnswer: 168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 110515832?\nAnswer: 2, 7, 1279, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 48*o**2 - 3740*o + 7501*o + 61*o**2 + 6734*o.\nAnswer: 109*o**2 + 10495*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = -m + 72. Suppose -5*d = -d. Suppose -4*z + d*a + 188 = 2*a, -3*z + a = -131. Calculate the greatest common divisor of m and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.5962 to 2 decimal places.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 9150.557 kilograms in nanograms?\nAnswer: 9150557000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(112)\/sqrt(8))\/sqrt(2) - (3 + sqrt(112)).\nAnswer: -3*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-23)\/46 + 1)\/(1\/15920)?\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 42\/18 - ((-15)\/(-9))\/5. Suppose -346 = n*x - 1004. Calculate the remainder when x is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 20865*q - 938888. Give l(45).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1088)*4 - (sqrt(1700)*2 + sqrt(17)).\nAnswer: 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8265\/(-9918))\/((-1900)\/48).\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -302022, 4, 0.4, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -120, -400, -886, -1572, -2452, -3520, -4770?\nAnswer: -6196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 101\/6324 and 73\/388.\nAnswer: 613428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 69406 - -0.1373\nAnswer: 69406.1373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4503 is divided by 2242.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -40256133\/20 or -2012806?\nAnswer: -40256133\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*v**3 + 0*v**3 - v**3)*(-2*v**2 + 6*v**2 + 3*v**2) + 2 + 4*v + 3*v**5 - 5*v + 2.\nAnswer: -4*v**5 - v + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) be the third derivative of 1\/30*b**5 + 0*b**4 + 0*b + 0 - 1\/168*b**8 - 1\/105*b**7 + 0*b**3 - 18*b**2 + 1\/60*b**6. Factor t(f).\nAnswer: -2*f**2*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1371282, 16, -5, -9 in descending order.\nAnswer: 1371282, 16, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 2*w**3 + 2*w**2 - 2*w. Let b be p(1). Suppose y + y - 8 = 0. Suppose y*r - k = b*r + 241, -366 = -3*r + 3*k. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 51*p**2 + 23*p - 805. Is q(-39) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = x - 4 + 3*x + 0*x + x. Suppose 0 = 4*u - 2*u - 6. Let b(t) = -14*t - u + 14 + 0. Calculate -4*b(c) - 11*w(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 177*h*l**4*q - 4*h*l**4 + 727*h*q wrt l?\nAnswer: 708*h*l**3*q - 16*h*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 1 bigger than 5670?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1483430 to the power of 1\/2, to the nearest integer?\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide -28492106 by -25037.\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 528 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 580*c**3*r*s**2 - 235*c**3*r + 2*c**3 - 30*c**2*r*s**2 - c*r*s - c*s - 3*c wrt s?\nAnswer: 1160*c**3*r - 60*c**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 22*d - 128. Let t be f(6). Suppose -3*y = s - 1103 + 323, 3075 = t*s - 3*y. What are the prime factors of s?\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1210 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) be the second derivative of v**4\/18 + 6*v**3 + 240*v**2 + 6089*v. Find i such that q(i) = 0.\nAnswer: -30, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/9 in -2\/5, -4, -1526?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1657 or -209\/752?\nAnswer: -209\/752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(1\/10)*n)\/n**(5\/6)*n*n**(1\/4)\/n*n\/n**0 assuming n is positive.\nAnswer: n**(91\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:58 AM and 7:27 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 1773740.4 to the nearest 1000.\nAnswer: 1774000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 207747305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -m**3 - m**2 - 2. Let z be r(-2). Suppose -5*u + 2*b + b = -89, -z*b + 26 = 2*u. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -21.2837549 rounded to three decimal places?\nAnswer: -21.284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 20211122121 (base 3) in base 2?\nAnswer: 100000110111010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 770 is divided by 156.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1794)\/115)\/(-13)*325\/(-10)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 853 - 738*x**2 - 760*x**2 - 2543 + 1500*x**2 + x to v + m*x**2 + o*x and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = -87 + 92. Solve v*q - 3*q + 4 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2887877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 36765 + 60939 = -3*t, 0 = -j - 3*t + 19530. Does 35 divide (2\/(-6))\/((-39)\/j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1)\/((-3)\/(-18)*-2). Suppose -k = q - 2*k + 1, 3*k - s = -4*q. Solve q = -3*d - 2*d + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -56001 by -11.\nAnswer: 5091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 822?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 152 = -433. Let t = j - 270. Let v be t\/(-12) - (-3)\/12. What is the highest common divisor of 65 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 + -2 - 5400\/(-432)?\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-1))**(-30) assuming k is positive.\nAnswer: k**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is a83 - -1910b9?\nAnswer: 191b80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5787267 to the nearest integer?\nAnswer: 2406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 82575.68 litres?\nAnswer: 82575680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 1 q when two letters picked without replacement from iiqiiiii?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 4550 and -15.93?\nAnswer: -72481.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -k - 26. Calculate q(-19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 160340644?\nAnswer: 2, 1693, 23677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = -9 - -16. Let t be (-324)\/(-7) - 2\/g. Let z = t + -8. What is the remainder when z is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*l - 9*l = 442. Put -2\/13, l, -0.2 in ascending order.\nAnswer: -0.2, -2\/13, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -11 (c) -4\/7 (d) -1\/4 (e) -12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 29 + 0*3\/(-12).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 13813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -30138343, -60276697, -90415037, -120553357, -150691651, -180829913?\nAnswer: -210968137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when ((-13965)\/75)\/(28\/30 - 1) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 148145036 divided by -758.\nAnswer: -195442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 6 (base 10) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.467 in 4, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 7 or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Product of -57 and 0.9.\nAnswer: -51.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 18*j**3 - 102*j**2 + 176*j - 96.\nAnswer: 2*(j - 3)*(3*j - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 46 a factor of 1627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -5 + 5*k**2 + 3*k - 3*k. Let d(u) = 2*u**2 - 3. Suppose -2*b + 5 = 3*m, -15*b - 5*m - 36 = -18*b. Let g be -3 - b\/35*0. Determine g*h(p) + 5*d(p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100 + -10110000001011100101110000000?\nAnswer: -10110000001011100101110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f be (36\/4)\/(-1 - -2). Let k = f - 37\/4. Let w = -1 - -2. Is k less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 93*t + 168 = 121*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4 - 2. Suppose 2*g**5 - p*g**4 - 2*g**4 + 4*g**4 - 2*g**3 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) be the third derivative of -m**4\/12 - 57*m**2. Let f(x) = x**2 - 2*x - 2. Let d(s) = -6*s**2 + 13*s + 13. Let y(i) = -6*d(i) - 39*f(i). Give k(y(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4*y**2 - 13*y**6 + 4998*y**5 + 356*y + 5068*y**5 + 931*y - 10189*y**5 - 1 wrt y.\nAnswer: -1560*y**3 - 7380*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 33947167 is divided by 470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14775 is divided by 1054.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 24*m - 24*m - 54*m**2 + 57*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1)\/((2 + -3)\/4). Suppose -b*y = -3*y - 5. Is 4\/(-10) + 172\/y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 37832011 - -6867989. Round d to the nearest 1000000.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 190, 296, 328, 286?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -p**3 - 3*p**2 - 3*p - 3. Let b be z(-2). Let i be (-4 - 0)*(2 + b). Let j be ((-2)\/5)\/(6\/30). Put j, 2, i in decreasing order.\nAnswer: 2, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) be the second derivative of -x**4\/12 + x**3\/3 - 2*x. Suppose -2*y + 2 = -0*y. Suppose m + 1 = -m - p, 0 = -m - p + y. Calculate g(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 100?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Total of 2.36 and 28.\nAnswer: 30.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 162*d - 591 = -63*d + 2109 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -m**3 - 6*m**2 - 5*m + 4. Let d be b(-5). Suppose -1 + 5 = d*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -133\/8913714 and -1\/10.\nAnswer: 44568570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00008373754 rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 44075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -3, -2020.4, 67, 0.4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(-19)\/(l*l\/l**(-32)) assuming l is positive.\nAnswer: l**(-53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -p + 355 + 340 - 695.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (-13508 + 13511)*1*29*-1\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -46 + -2. Suppose -10*p - 4*p = -574. Let l = p - a. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -14*i - 16*i - 14*i in the form c*i + k and give c.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + (1 - 4) - -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1, -1836, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*a + 7 + 1 - 1 + 2*a - 17*a to p + w*a and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -139 = 8*z + 317. Let f = z + 144. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 573044 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -5 at least 28\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 161716 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bbnbbbbbbnbbb. What is prob of picking 4 b?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) be the first derivative of 167*x**5\/5 - 53*x + 114. What is the first derivative of r(z) wrt z?\nAnswer: 668*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*j - 10, -3*m = -j + 674 - 159. Suppose 2*b + 11 = -3*c, 0*c = 2*c - 5*b + 1. Is m\/(-4) + c\/6 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*d - 9 - 0. Suppose -4*r - 100 - 266 = -d*z, 10 = 5*z. Let w = 27 - r. Calculate the greatest common divisor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0004502946 to five dps.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vccv when four letters picked without replacement from {v: 5, c: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (-2*2\/(-8))\/((-8)\/96)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ftbtbwftwwftoftff. Give prob of sequence ofw.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = 460.8 + -460. Sort -1\/3, 5, p, -0.5 in decreasing order.\nAnswer: 5, p, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -m**3 + 14*m**2 + 35*m - 46. Let c be i(16). Put 0, -4, c in descending order.\nAnswer: c, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2388 divide 27799738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) be the third derivative of r**9\/504 + 4*r**7\/35 - 11*r**6\/120 + r**5\/20 - r**4\/24 + r**3 - 1157*r**2 - 2*r. Find the third derivative of f(t) wrt t.\nAnswer: 120*t**3 + 576*t - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = l**3 - l**2 + l + 5. Let r be d(0). Let w = 1823\/7 - 260. What is the nearest to 2\/5 in w, r, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 7*c**2. Let d(m) be the third derivative of m**5\/60 + 3*m**2. What is d(n(g))?\nAnswer: 49*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -44 or -41?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = -91 + 93. Suppose -4*p + 2*t = t + 20, -t - 10 = i*p. Let h(m) = 121992*m - 40. Let a be h(p). What is a rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -p**3 - 8*p**2 + 19*p - 5. Let z be k(-10). Suppose h - 5*w = 44, h = z*h + 3*w - 130. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1776 and 21090?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 396 divided by -205.\nAnswer: -396\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 363 is divided by 136.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 351*i - 90*i + 73 + 22*i**2 - 146 - 261*i + 73.\nAnswer: 22*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1750 + -1827 - (-80 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 24\/23 and -21\/2479.\nAnswer: 57017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 66 - -2?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 8259558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 4080331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -a**2 - 7*a - 8. Let u be p(-5). Sort u, 7, -4 in decreasing order.\nAnswer: 7, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 81660, 163326, 244992, 326658?\n\"Answer: 81666*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 229.2 - 280.55. Let k = -51 - f. Let s = k - -0.65. Which is the second smallest value? (a) 3\/5 (b) s (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -25 + 40. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2.175 + -1.975. What is the fourth biggest value in i, 0, -5\/12, -1\/4?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 21 - 36. Let s = 3 - d. Let r be (-2)\/9 - (-4)\/s. Solve r = -2*w - w + v + 1, 0 = w - v + 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3143303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 457977803?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2 - -1. Suppose -k - j = -5. Suppose -5*l + 32 = 2*p, -k*l + 4*p = -0*p - 8. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 450778.\nAnswer: 2, 257, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -7*m + 3*m**2 + 383 + 20*m**2 - 368. Is z(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + 5*v + 22 - 2 = 0, -v - 4 = 4*t. Suppose t*n + 2*n = 8. Calculate the greatest common factor of 16 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000032656 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42 - 28 = 2*k. Let n = k + 113. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 4519075 from -0.08.\nAnswer: -4519075.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -9\/2 in -1, 4\/9, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 810 and 571698.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5625619176?\nAnswer: 2, 3, 234400799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:06 AM and 11:00 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -21232100112 (base 4) to base 12\nAnswer: -a2ab86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -4. Let x(a) = -a. Let u(k) = 2*w(k) + 2*x(k). Let t be u(-6). Suppose 7 = 3*b - t*s, -5 = s - 4. Put -4, -3, b in decreasing order.\nAnswer: b, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2229 = 21*k - 24*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -1 + -2 - (-7)\/(35\/30). Which is the third smallest value? (a) -1\/4 (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) be the third derivative of y**4\/8 - 9*y**2. Let v(p) = -2*p. Give t(v(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -40 + 1 + 1 - (4648 + -4659)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 380*c - 105*c + 1 + 148*c + 0.\nAnswer: 423*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + -414.9.\nAnswer: -414.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4*f**3*o*q**2 - f**3*o + 270*f**3*q**2 + 6*f**2*o*q - 65*f*o*q**2 - 278327*f - 4*o*q wrt q?\nAnswer: -8*f**3*o + 540*f**3 - 130*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 816.54 - 810. What is b rounded to 1 dp?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -q**3 - 5*q**2 + 21*q + 26. What is the remainder when 246 is divided by n(-8)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(24) - (sqrt(384) + -4*sqrt(384)))\/sqrt(2)*-5)\/(3*(sqrt(324)\/sqrt(6) - 2*sqrt(6)*2)))**2.\nAnswer: 8450\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -801*z**2 + 570*z?\nAnswer: -1602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5.821 - -37840.179. Let d = j - 37846.2200055. Let l = d - -0.22. What is l rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 8\/36 + 4\/(-18). Let c = b - -2. Let g be -2*1*5\/(-2). Solve i + g = c*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -20*d. Let i(p) = -13*p. Let h(f) = 7*i(f) - 5*o(f). Let w(r) = 2*r**2. Determine w(h(n)).\nAnswer: 162*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 175*b + 83*b + 166*b + 53*b.\nAnswer: 477*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 20 and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 120*a = 118*a - 4*v - 42, -3*a - 5*v - 64 = 0 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l - 2*l + 12 = 0. Let i = l + -4. Sort -3, -5, i.\nAnswer: -5, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 6*l + 3. Let g(v) = -9*v - 214. Let m(s) = 10*s + 162. Let d(z) = 3*g(z) + 4*m(z). What is -4*d(p) + 9*t(p)?\nAnswer: 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1472\/(-4048))\/(130\/55).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5003?\nAnswer: 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 61285 and 6489.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 17636 = 4*x, -26*a = -29*a + 2*x + 13197. List the prime factors of a.\nAnswer: 7, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}