diff --git "a/data/dm_maths/full_data_1/194_11255.jsonl" "b/data/dm_maths/full_data_1/194_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/194_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the common denominator of 31\/8350 and 9\/37742.\nAnswer: 943550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1242.42 + 73189.6.\nAnswer: 74432.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(288) - (-3 + -1*sqrt(288)))*-5)**2.\nAnswer: -58050 - 7200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*(sqrt(187)\/(sqrt(11)*1 + sqrt(11)) + sqrt(272)*1)**2*-4.\nAnswer: -4131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 2*x + 20. Suppose -x*k + 4*v + 456 = 0, 0*v = -k - 5*v + 97. Suppose -3*u - 2*j = -k, 0*u = -4*u - 3*j + 122. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 12:15 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 618*t**2 - t - 1083*t**2 + t + 470*t**2.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(45\/(-25))*28\/(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*v = -45, 0*o - 3*v = -2*o + 87. What is the lowest common multiple of o and 3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3511784235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 106796486, 106796488, 106796490, 106796492?\n\"Answer: 2*s + 106796484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(5 + 12\/8*-15)\/(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 2)*(-3*m + 0*m + 2*m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(810))\/(sqrt(6)\/sqrt(3)*-4).\nAnswer: 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*x**3 + 49*x**2 - 195\/2*x + 146\/3.\nAnswer: -(x - 292)*(x - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22291, 45292, 69003, 93424, 118555, 144396?\n\"Answer: 355*j**2 + 21936*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 5*q + 1. Let w be f(4). Let k = 55 - 88. Let t = -33 - k. Which is the second smallest value? (a) -5 (b) w (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**5 - 275*f**4 - 336*f**2 wrt f.\nAnswer: 120*f**2 - 6600*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -920 and -920 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 203 and 917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 z when four letters picked without replacement from dddbbkbkkdddz?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -46*o - 690. Let s be c(-15). Factor -1\/5*p**2 - 3\/5*p + s.\nAnswer: -p*(p + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/2, 1\/10, -2\/13, 2, 0.4, -102.7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + 28. What is the highest common factor of w and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6631*s + 6767*s + 3264 = 0 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.42 times -0.02?\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**2. Let q(h) = -1673738*h. Calculate t(q(n)).\nAnswer: -11205595570576*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1168 to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/56)\/(2\/(2*12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + d + 156 = -4*d, -5*d = -2*s - 312. What is the hundreds digit of (16\/(-36)*s)\/((-6)\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 11644775.\nAnswer: -11644774.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-147)\/70 - (-79856)\/36960\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (547 + 5357 + 2936 - 1)*(-2*d**4 - 3*d**3 + 3*d**3) as o*d**4 + t*d + g*d**2 + f + m*d**3 and give o.\nAnswer: -17678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17 from -0.198.\nAnswer: -17.198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 3*h**2 + 2*h - 1. Let g(o) = -10*o**3 - o**2 - 4*o + 8. Let x(t) = -g(t) - 2*s(t). Let b(d) = 7*d**3 - 4*d**2 - 5. Determine -5*b(l) + 4*x(l).\nAnswer: -3*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2769208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.1548962m?\nAnswer: 154.8962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + y + 4*y)*(-36*y**2 + 36*y**2 - 9*y**3 - 3*y**3 - 2*y**3 + 4*y**3 + (0 - 3 + 4)*(-3*y + 3*y - y**3)).\nAnswer: -11*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 35 = 2*c. Let i = 190 - c. Suppose 3*m + i = 8*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (2 - (3 - 2)). Let z be (-44)\/(3 + 1) - t. Let o = 11 - z. Does 20 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -4*n - 17, 0 = -8*n + 5*n + 6 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 974746853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0438901615498 - 5.\nAnswer: -4.9561098384502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - 0 - (5 + -224) a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6) + -3)*(-18128)\/1545*54\/(-33).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - 5116*27\/(-8424) - (-2)\/(-12).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 348 and 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 20*f - 22. Let j be w(21). What is the remainder when ((-621)\/(-6) - -7)\/(j\/(-4)) is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 200\/72 + ((-80)\/(-36) - 2). Let h = 3 - 2. Let z be 2\/6*3 - h. Solve 0 = -z*a - k*a + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 2*b + 46, 116 = -5*o + 1120*b - 1124*b for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -183*v**3 - 141*v**3 - 103*v**2 - 758*v**2 + 170*v**2 wrt v.\nAnswer: -1944","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34226203.\nAnswer: 11, 1663, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 11.84636\nAnswer: 35.53908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 716275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-14 + (5 - 4) + 11)) + -34?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 146 + 3*y**3 - y**3 + 3*y**3 - 147 to the form x*y**2 + a*y + u*y**3 + q and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 937638193?\nAnswer: 12821, 73133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11719? (a) 5 (b) -8\/5 (c) 2 (d) -4 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 18. Let j = 1 + b. Let c = j + 10. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 256\/48*4\/96?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -45 + 40 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -549 - 541 - 540 - 74*b - 42*b + 1630.\nAnswer: -116*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9782166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301432 - 302248 - 302245 + 905925 + 3*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 27 = -7*d. Solve d*t + 12 = 5*p - 8*p, -4*t = -2*p - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 10*p + 7. Let k be r(-11). Let n be ((-6)\/k)\/(12\/16). Suppose t + 2*m - 10 = -m, -t + n = -5*m. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 179684 and 348.\nAnswer: 539052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 947 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 8153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 = -6*g + 107 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -5*l**2\/3 + 13750*l - 123615 = 0.\nAnswer: 9, 8241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - 5 + 5)*(-5 - 1 + 4)*(-1 - 2 + 1).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1239 and -82\/45843?\nAnswer: 45843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1319*f + 1287*f + 704 = 0 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -366983?\nAnswer: -2\/366983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + c + 7)*(-2 + 5 - 4)*(13 - 24 + 77)*(3*c + 5 - c - 4).\nAnswer: -132*c**2 - 66*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 8*x**2 + 54. Let w(u) = u**2. Give z(w(i)).\nAnswer: 8*i**4 + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88*v - 57*v - 32*v + 150)*(1 - 1 + 2*v).\nAnswer: -2*v**2 + 300*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95\/604 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 20334.\nAnswer: -20337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02336 - 0.06.\nAnswer: -0.03664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/2)*(m*m*(m**(-9)*m)\/m)\/m*m)**(-8) assuming m is positive.\nAnswer: m**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 221490 and 31932.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 2*w + 5. Let m be b(0). Suppose -m*j + 20 = 5. Solve -f - 2 = 3*v - 0, -3*f + 18 = -j*v for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/6079 and 75\/2.\nAnswer: 12158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 792 is divided by 246.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 51*s - 8. Let r be t(5). Suppose 242*h - r*h = 15. Put h, 3, 4, -2\/5 in descending order.\nAnswer: 4, 3, -2\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2\/13))**(10\/9)\/(u\/u**(-5)*u\/(u**(5\/6)*u*u)) assuming u is positive.\nAnswer: u**(-755\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37\/(-1) + 6840\/285.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**2 + 4*i**2 - i**2 + (-3*i - 4*i + 5*i)*(9*i - 6 - 2*i - 4*i) to s*i**2 + k + j*i and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**3 - 63*r**2 + 499*r - 12284. Calculate m(30).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 4*n - 8. Determine p(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -71191071 divided by -1924083\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 825 = -5*g + 2*w, -3*g + 5*w = -491. Let m = g - 165. Sort -10, 0, m in increasing order.\nAnswer: -10, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -123*n**3 + 5*n**2 - 20*n - 19. What is the remainder when 503 is divided by l(-1)?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u**2. Let f(c) = 48*c**2. Let t(s) = 4*f(s) - 27*m(s). Let r(n) = -2*n. What is t(r(d))?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4720 a factor of 1246226320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2669661806.\nAnswer: 2, 7, 27241447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(243)*-2*3 + sqrt(243))**2 + -5.\nAnswer: 270*sqrt(3) + 6079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3064*w**2 - 1983*w - 158711510 wrt w.\nAnswer: 6128*w - 1983","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3800 and 100.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 782*f + 3033. Let g be o(6). Calculate the greatest common divisor of 206 and g.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26920861*n**6 - 6793*n**2 + 1672*n.\nAnswer: 3230503320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -41.97. Sort x, -1, 2 in decreasing order.\nAnswer: 2, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 28.24783 years?\nAnswer: 2.824783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1205.398 kilometers in centimeters?\nAnswer: 120539800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8848\/7392 - (-8)\/(-6). Which is the closest to -0.1? (a) 0.4 (b) y (c) 0.5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 1. Let y = i + -1. Let g be -1*(-4 + 154\/33 - 5\/12). What is the nearest to y in 3\/5, -4\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*y + 2*h, 16*y = 13*y + 3*h - 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 i, and 1 g when three letters picked without replacement from {b: 1, i: 5, o: 1, h: 2, g: 4, r: 7}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -11*y**3 - 137. Let n(a) = -5*a**2. Calculate h(n(j)).\nAnswer: -825*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**5 + 3*f**2 - 3*f**2)*(-4 - 2 + 4) + 2*f**5 + 2*f**4 - 2*f**4 + (3*f**2 + 0*f**2 - 4*f**2)*(-2*f**3 - 1 + 1) - 2*f**5 - 3*f**5 + 6*f**5.\nAnswer: 7*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5\/22, 27, -8\/7, -10\/9, 4?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19737 by -2686.\nAnswer: -1161\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*k**3 + 88*k**3 + 529*k**3 + 905*k**3.\nAnswer: 1679*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 14*k**2 - 17*k - 1. Let v(r) = 5*r**2 - 6*r. Let a(h) = -6*i(h) + 17*v(h). Is a(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(-2) - (-6)\/48*-12. Solve 3*z = -w*z + 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/7, 2\/15, 2.3, -1\/4, 1, -0.07?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1797 - 3102. Find the common denominator of (-5)\/(-30) + (-166)\/24 and ((2\/(-6))\/((-20)\/w))\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15\/8, 2\/7, 369?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/5))**(-1\/8))**(-1\/79)\/((v**0\/v*v)**(-16))**(2\/11) assuming v is positive.\nAnswer: v**(-1\/1580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ndl when three letters picked without replacement from ldlllvldqulnlq?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 499\/5 - 2989\/30. Let u = -4\/11 - 3\/22. Which is the third biggest value? (a) 4\/5 (b) u (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 32 + 16 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 44*g - 139*g + 2 + 46*g - 4 + 48*g. Let z(r) = 4*r**2 - r - 1. Let m be z(-1). Let c(v) = v**3 - 4*v**2 - v. Let t be c(m). What is q(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) -0.04 (c) 353 (d) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100110111 + 101?\nAnswer: -1001100110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 1. Let z(y) = y**3 + 3*y**2 + y + 1. Let w be z(-3). Let p be (1 + -3)\/w*2. What is the closest to n in p, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = j - 2. Let l = 2 - j. Let d(x) = x**2 + 19 + l - 10*x - 5 - 3. Calculate d(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) 12 (c) -1\/342 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 783\/20 + -182\/5. Let j(r) = -r**3 - 4*r**2 + 4. Let i be j(-4). Find the common denominator of ((70\/i)\/(-1))\/1 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 + 0*m**2 + m**2 + 2*m**3 + (2 - 1 - 3)*(-6*m**3 - 77*m**3 + 2*m**3).\nAnswer: 164*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.31 + 2.2. Let y = m + 0.1. Let u = y - -0.31. What is the second biggest value in u, 3, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -1694)\/(1*-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**3 + 2*r**2 - 2*r + r**3 - r**2 - r**4 to the form q*r**4 + o*r + s + h*r**3 + f*r**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 4*q - 5. Let k be h(-3). Let z = -74 - -69. Sort z, k, -1 in ascending order.\nAnswer: z, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 214 + -214.00443. What is q rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 13. Let f(a) = -5*a + 7*a - w - 6*a. Let n = 0 + -2. Calculate f(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**4\/3 - o**3\/3 + 3*o**2\/2 + 9*o. What is the tens digit of t(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -201.732 and -204637.721.\nAnswer: -204839.453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 338336530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2000) + 1 + sqrt(80) + 0)**2.\nAnswer: 48*sqrt(5) + 2881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 10.2. Which is greater: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 193371 and 1161.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 67 = -5*a, -4*z + 112 = -5*a + a. Solve 4*h - 24 = 4*i, 0*i = 2*i + 5*h - z for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.69465466 to two dps.\nAnswer: 8.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k - 1. Let a be s(-1). Suppose l + 4*p = a, 6*p + 26 = l + 2*p. Solve -5 = -3*u - l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - 221200?\nAnswer: -221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7560 and 72156.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-27) + 90\/324?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29933 is divided by 2718?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 569 = -5*x - 425, -x = 28*y - 23*y - 2 + 153 for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2682899 + 5989*r + 2682899 in the form j + f*r and give f.\nAnswer: 5989","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102220201020 (base 3) to base 2.\nAnswer: 111001010000100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 678173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2778451, -5, -2.\nAnswer: -2778451, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2187989188?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*x + 26 = 0, -v - 3*x - 2 = 8. Suppose -5*p - v*p + 6*p = 0. Let t(h) = h**3 - h**2 - h - 3. Give t(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 1:20 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 + 4*w - 1. Let c = -2 + -1. Let m be y(c). Let a = -3 - -4. Sort m, 2, a.\nAnswer: a, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23583057225121*b**2\/9 - 19424956*b\/9 - 4\/9.\nAnswer: -(4856239*b + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 2*t = -2 + 3, 4*t = 3*y - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 8:03 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14050102*k**4 - 1045*k + 10678 wrt k.\nAnswer: -168601224*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 292, 283, 268, 247, 220?\n\"Answer: -3*n**2 + 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d + 13*d**2 - d**3 + d**2 + 12*d - 2. Let w be -30*(10\/(-40) + 2\/(-8)). Is b(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-501903)\/(-15) - (-1 + (-12)\/(-60)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 2 = -3*g. Let h(b) = -b**3 - 5*b**2 + 5*b - 1. Let u be h(g). Solve y + 10 = -v - 4*v, -u*v + 4*y - 10 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 19 = 4*c, 351*k + 5 = 348*k + 2*c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6746 (b) 2\/17 (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 72 = 80. Let j(p) = -2*p**2 - 3*p + 3. Give j(r).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -762 + 767. Suppose -2*n = 5*i + n - 93, -4*i + 67 = -c*n. Calculate the lowest common multiple of i and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**3 + 2*g**2 + 509*g - 510. What is n(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28 and 687010.7?\nAnswer: 687038.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-65)\/(-55) + (-12)\/66. Suppose -v + 19 = b. Solve 5*k - 3 = -b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**2 - 140*r + 1477. Let c(h) = -h**2 + 56*h - 738. Calculate 5*c(m) + 2*v(m).\nAnswer: m**2 - 736","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4560\/14 + (-4)\/(-14). Let s = d - 3925\/12. Calculate the common denominator of (-746)\/(-40) - 9 - 2\/5 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 616614763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**0)**(-4\/11))**(-2\/119) assuming r is positive.\nAnswer: r**(8\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (sqrt(288) + ((0 + sqrt(288))**2 - sqrt(288))) - (sqrt(18) - sqrt(36)\/sqrt(2)*-3)) + -5 + (5*(-4 + sqrt(90)\/sqrt(5)))**2 + 5.\nAnswer: -609*sqrt(2) + 562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4\/5 - 293846*s**3\/5 - 2879376372*s**2 - 235513062755784*s\/5 - 14312792700469008\/5 = 0 for s.\nAnswer: -48954, -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 + -7 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 6. Suppose c = -5*r + r - 96. Let u = 16677 + -16702. Is u not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9830.427 microseconds to seconds.\nAnswer: 0.009830427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u. Let g be w(3). Suppose -7*t - 98 = -77. Let y(c) = -c**3 - c**2 + 7*c + 7. Let z be y(t). Put 1, g, -8, z in increasing order.\nAnswer: -8, g, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(68)\/sqrt(2) + sqrt(34))*-3)\/sqrt(2) + ((sqrt(153)\/sqrt(3)*1 + sqrt(51))\/(sqrt(144)\/sqrt(3)))**2.\nAnswer: -6*sqrt(17) + 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15180892?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -88*t + 45*t - 215 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47067541, -94135094, -141202647, -188270200, -235337753?\nAnswer: -282405306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1204 times 2\nAnswer: -2408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-2))\/(90\/(-150)). Calculate the highest common factor of 3 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 315765442 and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - 15\/(-5)*1. Let s = -2 - -4. What is the biggest value in i, s, 2\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3690*i + 83253 + 138355 + 195362 = 0 for i.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/((-1011)\/(-981) - 1) - 45\/225. Put -2, f, -3 in ascending order.\nAnswer: f, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.2 (c) 4 (d) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1673.739ug in milligrams?\nAnswer: 1.673739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 + -20)*((0 - 3) + 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o - 3*o - o)*(34*o - 85*o + 25*o + 397 - o) to the form m + g*o**2 + r*o and give g.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67493 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(192)\/sqrt(8) - sqrt(24))\/(2*sqrt(300)) + 4*(-1*(sqrt(224) + -1*sqrt(224)))\/sqrt(7).\nAnswer: 3*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2*-1)\/((-8)\/(-20)). Let c(x) = -x**3 - 6*x**2 - 2*x - 6. Let v be c(-6). Sort s, 1, v, 3.\nAnswer: s, 1, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 11:02 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 529907\/22 < 24086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 8:04 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*(sqrt(567)*1 - sqrt(567) - sqrt(567) - sqrt(567)) - (sqrt(252) - -5*(sqrt(252) + -1))**2).\nAnswer: -1368*sqrt(7) + 36388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3075?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*u - 15270 = -238598. What are the prime factors of u?\nAnswer: 2, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/57, 2\/6811, 1\/7?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from oujbjsby.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millennium in decades?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, e: 1, n: 1, l: 2, b: 1, t: 1}. What is prob of sequence tls?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*z**2 + 38*z + 12741 with respect to z.\nAnswer: -30*z + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -23 + 69. What is the first derivative of 1 - 25 + 16 - s*i**2 wrt i?\nAnswer: -46*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 115 - 47. Let l(d) = 3*d + 36. Let k be l(t). Let x = k - -16. Which is the closest to -1? (a) 1\/3 (b) -0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*v - 6, -2*v = 3*m + 2*m + 1. Let w be m\/6 + (-2)\/12. Let l = 3 + 1. Solve 0 = p - a - w*a, 4*p + l = 5*a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -55.6, -176, -1, 1\/5 in increasing order.\nAnswer: -176, -55.6, -1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.044 - -0.036.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(5)*3*1.\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 87*t + 306. What are the prime factors of s(14)?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.24479 and -1.\nAnswer: -2.24479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilogram in grams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*r - 36. Let h be (-2)\/(4\/6)*-1. Suppose 4*s = h*s + 8. Calculate the least common multiple of s and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 139699756+-19243\nAnswer: 139680513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -7434?\nAnswer: -52038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 3:13 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6093600 to the power of 1\/2, to the nearest integer?\nAnswer: 2469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 24588*h**2 - 24598*h**2 + 3 + 49222*h**2.\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006563 rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 - 2 + 5*k**4 + k**3 + k - 5*k**4 + 2*k**4 to m*k + n*k**4 + o*k**3 + q + f*k**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)*-2)\/(sqrt(112) - (sqrt(112) + -1*sqrt(112) + sqrt(112)) - sqrt(7)).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -139\/26 + 16\/3. Find the common denominator of 65\/3 and f.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7133 + -7124. Solve -3*g + 13*y - 4 = t*y, -3*g + 2*y = -4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5075 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2489\/119 + -146\/7. Let s = 26557\/3 + -5869034\/663. Let j = l + s. Is j equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99) + 1)**2 - sqrt(121)\/sqrt(396)) + 5.\nAnswer: 53*sqrt(11)\/6 + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 104370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 0)*(1 - 1 + 2*n**5) + (-126*n + 126*n - 15*n**2)*(0 + 0 + n**3) - 3*n**5 + n**5 + n**5.\nAnswer: -8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-14\/3))**(21\/2)*j**(-19\/3)\/j*j**23)**(-16) assuming j is positive.\nAnswer: j**(1600\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 4 - 1)*(-d**2 - 4*d**2 + 2*d**2)*(0*d + 3*d + 2*d).\nAnswer: 225*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -16*b - 3. Let z be q(-1). Suppose -z*j + 442 = 52. Let p = j + -10. Calculate the remainder when p is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*c + 1550 = -5*v + 983, -v - 2*v + c - 13 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 7*o + 43. Let c = 61 + o. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, 3, -4, -8, 2, 1, -524 in ascending order.\nAnswer: -524, -8, -4, 1, 2, 3, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/1224 and 23\/185346.\nAnswer: 12603528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trttrrttrtrt. Give prob of sequence rt.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 3*h + u - 16 = 0, -4 = u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -19 - 8990*w + 26928*w - 8987*w - 8973*w. Calculate p(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 49\/3. Let t = -7 + 5. What is the third smallest value in k, -4, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 + 92*c**2 + 97*c**2 + 124*c**2 - 300*c**2 - 6*c to the form i*c**2 + k*c**3 + w + y*c and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-4276) - (0*(-8)\/(-48))\/5. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61207751.\nAnswer: 11, 71, 109, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 3*v + 6265. Let r = v - -2268. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23563 is divided by 4677.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-58)\/(-14) + 22\/(-154) and (-1)\/2 + (-74)\/(-4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*u**4 + 5*u**5 + 17*u + 3*u + 75*u**3 + 13*u**4 + 7*u**4 + 65*u**2.\nAnswer: 5*u*(u + 1)**3*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.321, -0.167, -1\/10?\nAnswer: 0.321","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*f + 79*f. Sort -28, 116, f in decreasing order.\nAnswer: 116, f, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - f - 26 = 0, 6*f - f + 18 = n. Let u be -1*n\/(1\/1). What is the lowest common multiple of 4 + -2 - (1 - u) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (72\/(-60))\/(2\/(-65))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 102 - 22. What is the remainder when 718 is divided by l?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(33))\/sqrt(11) + (sqrt(3) - sqrt(24)\/sqrt(2)))*-3 - sqrt(18)\/(sqrt(486)*1 + sqrt(486))*-1)**2.\nAnswer: 2809\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/2270 and -79\/10?\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/279?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 t, and 1 b when three letters picked without replacement from loryrrtbtbrrrbrryrr?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -84\/401 + -30037\/4010. What is the common denominator of -50 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**4\/7 - 56736*u**3\/7 + 567156*u**2\/7 - 1814688*u\/7 + 1814592\/7 = 0.\nAnswer: 2, 4, 18902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/5))**37*q**(2\/19)*q\/q**(-2\/9)*((q\/(q**(1\/3)*q))\/q)**(1\/13)\/(q**5*q**(-1)) assuming q is positive.\nAnswer: q**(-195347\/11115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 8. Let f be j(7). Suppose -7 + f = -2*h. Let p be 81\/15 + (-40)\/(-25). Solve -w + h = p for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1783, -3563, -5333, -7087, -8819, -10523?\n\"Answer: p**3 - p**2 - 1784*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k + 6 + 10 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/150 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5453*i**2 - 5453*i**2 + 6*i**3.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170267 is divided by 170162?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/10 - -4)*5. Let n = 25 + m. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10171.693629132 - 0.376358868. Let g = -10172 - w. Let r = g - 0.07. Round r to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035489 + 1.3?\nAnswer: 1.335489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*k + 238, 2*t - 2*k = -0*k + 112. Factor 2*x + 3*x**2 - t + 58.\nAnswer: x*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6 - (-5)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -211, -294, -253, -82, 225, 674, 1271?\nAnswer: 2022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/1*53\/2915*22.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 87489*w**3 - 9*w - 43744*w**3 - 1 + 6*w**2 - 43746*w**3. Give x(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2401193643 to the nearest integer?\nAnswer: 49002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-2 + 15\/12). Let m(c) = 6*c + 74. Let d be m(t). Solve s = 2*s - d for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -1248, 24\/7, 6\/5?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 147 + -151. Let c = 1 - 1. Let h be c - 2 - x\/(-8). Which is bigger: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = g - 0*g. Suppose -v + 4*v - 12 = -3*i, 0 = 5*v - g*i - 28. Is v greater than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2151*j + 8720. What is y(4)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*j + 4*k - 1, 3*j = 4*k + 13. Solve 5*x - 2*u - 10 = j*x, 2*x + 5*u = -25 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, r: 6, c: 4, z: 1}. What is prob of picking 3 c?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1183*w + 1659 = 11123 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -122, 0.3, -32 in increasing order.\nAnswer: -122, -32, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(5\/3)*o)\/o*o)\/o*o)\/(o*o**(1\/4)\/o*o))\/(o**(2\/3)\/((o\/(o*o**(2\/5)\/o)*o)\/o)) assuming o is positive.\nAnswer: o**(27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -0*m + 3*m - 36954, 0 = 3*x - 6. Suppose -11*r + m = -0*r. Is 55 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 z when two letters picked without replacement from vvvgdzugzzvvuuvvzzvg?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 21*n**2 + 2*n + 47. Let v be q(-21). Suppose v*g = 12 + 168. What is the remainder when 71 is divided by g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-50)*(-1 + 4)\/((-6)\/4). Let l be ((-4)\/(-6))\/(2\/(-6)). What is the second smallest value in 1\/8, v, l?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -1912 - 9*f + 10*f + 1809. What is k(0)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 - 6 + 6 - 3*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58 or -6840\/119?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 464084815 to the nearest integer?\nAnswer: 21543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2 = 2*m, 0*y = y + 2*m - 8. Suppose 2*s = 5*a - s - 6, 0 = -y*s - 4. Solve -l + h = a, l + h + 3*h = 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2038772 less than 298.77401?\nAnswer: -2038473.22599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2010331221112 - 13?\nAnswer: -2010331221131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1115, 5007, 11487, 20549, 32187?\nAnswer: 46395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4103 is divided by 1363.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f*y - 235*f + 248*y**4 + 2*y + 27 wrt y.\nAnswer: -f + 992*y**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s + 2*s + 7*s**3 - 4*s - 9 + 5*s**3 - 4*s**3 to i*s + n*s**2 + h + t*s**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -231*r - 8. What is the tens digit of w(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxq when three letters picked without replacement from qxxqxqqq.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 238.00109 + -238. Round p to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 15*f**2 - 10. Calculate d(15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*j**4 + 6*j**4 + 12*j - 8*j**4 + 3*j**4 wrt j.\nAnswer: -192*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47442 is divided by 2259.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5940.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9878691 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, -88, -434, -1106, -2212, -3860, -6158, -9214?\nAnswer: -13136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffyjdyo. Give prob of picking 1 d, 1 j, and 1 f.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 865 and 29459305?\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 18*x**3 - 4*x**2 + 3. What is t(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 1. Suppose -5*h + r + 70 = 0, -29 = -g*h - r + 21. Calculate the least common multiple of h and (2\/(-8) - (-15)\/12)*1.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16518.\nAnswer: 2, 3, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, h: 1, m: 2, d: 2}. What is prob of sequence jdjm?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1643*k**3 + 51*k**2 + 49159 wrt k?\nAnswer: 4929*k**2 + 102*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, l: 5, a: 5, k: 1, c: 3}. Give prob of picking 2 a, 1 k, and 1 l.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18 - 78) + 1 + 5. Let r be ((-10)\/(-3))\/((-3)\/54). Find the common denominator of -79\/132 and r\/h*(7\/32 + 1).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77118, -154232, -231346?\nAnswer: -308460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1453134132 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 75308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**3*m + 2*i**3 - 1009*i**2*m**4*p - 2*i*p + 402*p + 5 wrt m.\nAnswer: 2*i**3 - 4036*i**2*m**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + m = 0. Suppose 0 = 4*v - 2*h - 16, 0*h - 3*h = m. Suppose -71 = -v*g - g - b, -2 = -2*b. Solve 3*o - 2*j - g = -1, -3*o + 18 = -3*j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5625115 is divided by 245.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 526 - 127. Let h be 70\/6*(-380)\/w. Is -11 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 23*l + 350 = 56*l - 1314 for l.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(117) + -4.\nAnswer: -9 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 1)\/(8 - -1). Let j be 2\/(-9) + (-64)\/(-180). Which is smaller: j or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*v = 10, -2*v = w - 2 - 0. Solve -2 = -0*t + w*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v = -2893 - 5243. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*t - 242, 5*x - 386 = t - 3*t. List the prime factors of x.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g = -112*g - 147*g + 1440 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 g when three letters picked without replacement from wnugucunu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(-60*m**3 - 5121*m**2 + 5121*m**2) - m**3 - 2*m**2 + 2*m**2 + (2*m**3 - 2*m**3 + 2*m**3)*(-1 + 3 - 4) - m**3 + m**3 + 2*m**3.\nAnswer: 117*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1872 and -4.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g + 1010 - 2020 + g**2 + 2373*g**3 + 1879*g**3 + 1015 wrt g?\nAnswer: 25512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/5)\/q)\/q)**(3\/8)*(q\/q**1)**(2\/5) assuming q is positive.\nAnswer: q**(-9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 2 + 22 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 775 - 478. Sort 0.3, 2, s in decreasing order.\nAnswer: s, 2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/80)\/(4\/(-190)))\/((-34)\/68)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 8, 4, -1 in decreasing order.\nAnswer: 8, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -33517.9673 to 0 dps.\nAnswer: -33518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/7 + 48*g\/7 - 51\/7.\nAnswer: 3*(g - 1)*(g + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1488 = -10*q. Suppose 864 - q = 6*y. What are the prime factors of y?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 - -100111111111010?\nAnswer: 100111111110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - k - 3. Let j be 36\/90*(10 - (0 + 0)). Let r(u) = -u**3 + 2*u + 4. Give j*r(z) + 5*n(z).\nAnswer: z**3 + 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*o + 36 - 14 - 6 + 11*o - 7.\nAnswer: 58*o + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 15*d - 21. What is the remainder when h(4) is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 191*i - 4213. What is p(-40)?\nAnswer: 1827","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 0*x**2 + 2*x**2 - 1 - x + x. Let w be r(1). Let g be (3 - 76\/18) + w. What is the nearest to 1 in -2\/13, g, 5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*r - 0. Calculate the common denominator of (-1006)\/(-168) + r\/14 and -97\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, o: 2, e: 4, v: 1}. What is prob of picking 1 e and 1 v?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5180, 5026, 4606, 3782, 2416?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven quarters of a century in years?\nAnswer: 2175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 0*n**4 + 1\/60*n**5 + 0 + 41\/210*n**7 + 0*n + 27*n**2 + 0*n**3 + 0*n**6. Find the third derivative of v(h) wrt h.\nAnswer: 984*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -82*l**3 - l**2 + l - 1. Let j be k(1). Let v = 39 - j. List the prime factors of v.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**3 + 1492*g**2 - 138688*g = 0. Calculate g.\nAnswer: 0, 176, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 113130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 0 + 0)*(1512*v**2 - 4848*v**2 - 1119*v**2).\nAnswer: -13365*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + j**2 + j + 6. Let b be k(0). Do 6 and b have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 6*f + f)*(4 - 3 - 3) - 89 + 183 - 3*f - 88.\nAnswer: f + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 21*k + k**2 - 21*k. Let j(q) be the second derivative of 0*q**2 + q + 0*q**3 + 0 + 1\/6*q**4. What is f(j(s))?\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by -4\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265025 = -69*y + 108196. What are the prime factors of y?\nAnswer: 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -238982 * 3\nAnswer: -716946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 18, -3\/2 in ascending order.\nAnswer: -3\/2, 18, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/9 (b) -34 (c) 185 (d) -3 (e) -1 (f) -4 (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34769?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34495.\nAnswer: 5, 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 1895*x**2 + 26549*x - 44. What is o(-14)?\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 73808422 to the power of 1\/2, to the nearest integer?\nAnswer: 8591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 7. Is r(9) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 173.4693 micrograms?\nAnswer: 0.0000001734693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*u - 1234 = 123, 5*x = -2*u + 1698. Suppose -4*d + 209 = 3*r, 3*r - x = -2*r - 5*d. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(8) - sqrt(32)) - sqrt(30))\/(sqrt(80)\/(2*sqrt(8))).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 12:30 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32232 (base 4) to base 13.\nAnswer: -576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**5))**(-25)*(k**(-2\/13))**(-2\/43))**49 assuming k is positive.\nAnswer: k**(3424071\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*v = 490 - 25 - 55. Solve -4*f - 3*x - 1 = 0, -2*x - 4 - v = -4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8087 * -176.\nAnswer: -1423312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*j**6 + 4*j**5 - 623*j**2 - 2*j.\nAnswer: -1800*j**3 + 240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*w + 369 = 6*j, 2*j - 187 = -w. Suppose 4*g = 2*y - j, y + 231 = 6*y - g. Suppose -y*v = -47*v + 84. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/156 and -25\/66.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1888457 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -5. Suppose -b*l + 2*l + 5 = 0. What is the second smallest value in l, 0.2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*s - 2*s - 3*s + (-2 - s + 2)*(0 + 4 - 3)*(1 - 4 + 0).\nAnswer: -13*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -188998 - -5.8?\nAnswer: -188992.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 - 1100?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 16, -3*a - 4*o = -1 - 24. Solve 5*y - a*x + 24 - 4 = 0, 0 = -5*x + 25 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - -5 - (-53 + 1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 631464944?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 943b - 2b?\nAnswer: 9410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + ((-4455)\/2475)\/((-3)\/(-205)).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 1:00 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 - 3*a**2 + 3*a - 3. Let t(y) be the first derivative of -5*y**4\/2 - 14*y**3\/3 + 7*y**2 - 14*y + 260. Give -14*n(m) + 3*t(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31213 is divided by 6241.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 4*s**2 + s + 1. Let f be o(-4). Let k(c) = -3*c + 9. Let v(a) = -2*a + 5. Let x = 17 + -12. Give f*k(m) + x*v(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 + -8 - 11) + 11 + -2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v - 6. Suppose 0 = -4*k + 5*g + 40, 3*k - 5*g + 0*g - 35 = 0. Determine t(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2143\/5 + 429. Which is the nearest to y? (a) 1\/4 (b) 0.5 (c) -8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2)*-1)\/(21\/(-210)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-4)\/(-120))\/((80\/(-15))\/8)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*((-9)\/(-15) - 2\/20). Solve -5*m = -w + 22, -4*m - 4*w + 9*w - 26 = c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2221118 is divided by 160.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1090, 5, 4, 7, 1, 2 in ascending order.\nAnswer: 1, 2, 4, 5, 7, 1090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -108*i - 106. Let p be f(-1). Solve 9*t - 12*t = w - p, 0 = 5*t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 y when two letters picked without replacement from {y: 4, f: 2, a: 8, s: 1}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41725*r**3 + 2*r + 13922 wrt r?\nAnswer: 250350*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69 + -43. Let u(k) = -2*k + 103. Calculate the remainder when u(0) is divided by r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 - 2*t**4 + 6*t**4 - 6*t**4 + t**4 + t**4 + (-2 - 3*t + 2)*(t**3 + 0*t**3 - 3*t**3) + 0*t**4 + 2*t**4 + t**4.\nAnswer: 7*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2568739.\nAnswer: 2568739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 - 14*l + 38. Calculate g(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -28*h - 176. What is a(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = -1326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -11. Let j = 8 + d. Is 93 - (j - (2 + -2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/3 in 2\/9, -2\/13243, -14, -1, -5\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000055099249 to 7 dps.\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a**3*k + 86*a**3 + 1589*a**2*k - 15*a - k wrt k.\nAnswer: 3*a**3 + 1589*a**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65726*i*z**2 - 7*i*z + 7514*i + z wrt z.\nAnswer: 131452*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 13*w**2 + 26*w + 56. Give p(-2).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7647.503 days in nanoseconds?\nAnswer: 660744259200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0239 + -0.1761. Suppose -5*l + 26 = -2*r, 6*r - 3*r + 26 = l. Let o be (8\/40)\/(r\/(-10)). Which is the closest to w? (a) 2 (b) 0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32\/41 - 142\/287. Which is the closest to -3? (a) m (b) -8 (c) -1 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 61*w**3 + 94*w**3 - 4 + 7*w**3.\nAnswer: 162*w**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 176 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137*-2*3\/(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 11*z**3\/3 + 9*z**2\/2 - 3*z. Let y be h(-7). Calculate the common denominator of 4\/((-48)\/y) - 1 and -89\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and 470.94?\nAnswer: 8947.86","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4775 is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1404452 (base 6) to base 8.\nAnswer: -231720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 191*x**2 + 13*x + 38901. What is b(-190)?\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -140 + 97. Let t = 43.0000069 + q. Round t to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 129168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -3*q + 3*v - v, 4*q - 5*v - 150 = 0. Let a = 57 - 43. Suppose 7*s - a*s + 140 = 0. What is the highest common divisor of q and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -28.2 (b) 0.1 (c) -65\/23 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 38569781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -367*m**2 + 23*m + 26*m - 72*m + 22*m to o + s*m + g*m**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -180 + 237. Let b = -13 + 43. Calculate the remainder when t is divided by b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218311789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7*a - 16. Let s(j) = -j**2 + 7*j + 3. Let u be s(6). Let m be t(u). What is the derivative of b**4 - 23 + 18*b**4 + m - 28 wrt b?\nAnswer: 76*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 7:27 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {r: 7, p: 9}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c8e7 + -1d?\nAnswer: -1c904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004415 rounded to 5 dps?\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 1032 = 5*t, 0 = -4*t + 7*t - 5*k - 632. Suppose 5*u + 4*o - 43 = 43, 4*o = -4. What is the lowest common multiple of t and u?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/25, -49, -0.2, -3\/2, -21?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.013, -0.4, 0.4, -4 in decreasing order.\nAnswer: 0.4, 0.013, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 - -143. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 568.09 - 684. Round b to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00461 to 4 decimal places.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/11 or 67.57222?\nAnswer: 67.57222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5 times 0.8?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s + 32. Let g be x(16). What is the remainder when 13 is divided by (-70)\/(-8) + 2\/(g\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (360\/48720*58)\/((-90)\/(-28)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -0.0302\nAnswer: 0.00906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10709210 is divided by 179.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 10*d**2. Let m(r) = -4*r**2 + 71*r. Determine m(t(z)).\nAnswer: -400*z**4 + 710*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2529 = -4*j - 5*a, j + 2*a = 617 + 19. List the prime factors of j.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 11. What is the remainder when 35 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 t when three letters picked without replacement from cndntltnnnll?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4834635983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 <= 1.35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 38083385*r. Let p(z) = -2*z. Give m(p(g)).\nAnswer: -76166770*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79 + 21. Suppose -2*g - g = -120. What is the highest common divisor of g and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2, -22541, 1\/174?\nAnswer: 1\/174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -88\/3*m**3 + 28*m**2 + 7\/10*m**5 + 0 - 37\/6*m**4 + 171*m. Determine f, given that h(f) = 0.\nAnswer: -2, 2\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34716417.\nAnswer: 3, 223, 51893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 4*s**2 + 69*s + 39. Give b(12).\nAnswer: -1437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h + 26*h**2 + 0*h - 2 - 106*h**2 + 0*h**2 - 2*h**3 to j + s*h**2 + g*h + b*h**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*b - 1561 = 1516 - 2939. Let f be 51\/(-1)*2\/(-6). Solve f + b = 5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*f - 74*f - 75. Suppose 6*y - y = 4*p - 58, 2*p + 3*y = 18. Let n = f - p. Solve 4*l - 16 = 0, 3*r - n*l + 0*l + 18 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**2\/4 + 93663*t\/4 - 257664 = 0.\nAnswer: -31232, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 744 is divided by 74.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -904 and -5989?\nAnswer: 5414056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -27. Let j(d) = 2*d. Let u be j(s). Solve u = -2*m - 0*m + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -35? (a) 43 (b) -0.1 (c) -5 (d) -0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a9 (base 13) in base 11?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235 a factor of 235543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**3 + 5*f**2 + 22*f + 76. Calculate w(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -161.2 - -271. Let j = 110 - d. Suppose -o + 2 = -7. Which is greater: o or j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 404\/60 - (-44)\/165. Which is the nearest to -0.1? (a) -3 (b) m (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 18*r**2 + 144*r - 2*r**4 + 3*r**3 - 30 - 72*r - 89*r = 0.\nAnswer: -5\/2, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 6*p - 1395. What are the prime factors of p?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5 = 3. Suppose -2*q + k = -4*q + 4*o, 2*q = 5*o. Round q to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*578945.\nAnswer: 2894725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 - 240*a + 14400.\nAnswer: (a - 120)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 164119076 to the power of 1\/3, to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -0.6 (c) -2 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence de when two letters picked without replacement from debbdbbwtb.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0.03, 0.5, 0.29, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 20221327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxkkkkqxqxqqpkp. Give prob of sequence xppx.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9aa155 (base 13) in base 9?\nAnswer: -6772101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkkb when four letters picked without replacement from {o: 4, k: 5, b: 7}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/9)\/((-81)\/(-1944)*48)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -120*o - 363. Let i be w(-3). Let d(a) = -2*a - 7. Let r(k) = -10*k - 36. What is i*r(v) + 16*d(v)?\nAnswer: -2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -8\/295, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 + -45 - ((5 - -1) + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 9 + 6\/(-2). Suppose d*q + 2 = 7. Calculate the remainder when 14 is divided by q*16*11\/22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118763 and 1529205?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1979 - -1978.9998841. What is c rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = -10*x - 7*x, -114*j - x = -124*j + 195 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 55*f + 386. What is x(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 + 17*o + 19. Let h(z) = 3*z**2 - 17*z - 20. Let w(x) = -3*h(x) - 4*u(x). Let t be w(-16). Is -2\/239 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*x + 197*x - 45 = 0. Suppose x*u - 17 = 13*u + 5*m, -5*m = 3*u - 38. Calculate the remainder when 25 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1618, -3230, -4846, -6466, -8090, -9718, -11350?\nAnswer: -12986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -801431*o**2*w**3 - o**2*w**2 + 117*o**2 - 2*o*w**2 + 72*o*w + 2*o - 1777*w**3 + 279 wrt o?\nAnswer: -1602862*w**3 - 2*w**2 + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 1. Let b be n(-4). Suppose b*k = 34 - 4. Let p(t) = t**2 + 7*t - 10. Calculate the least common multiple of k and p(-9).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14138, -56702, -127646, -226970, -354674, -510758?\nAnswer: -695222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4236.\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 - 43. Suppose 4*w - 4 = 32. Which is smaller: w or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2. Suppose -3*s - 2*s = -90. Let z be (4\/12)\/((-3)\/s*-1). Let f(m) = -7*m - 2 + 5*m + z. Calculate f(i(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bppppppbbpbpb. Give prob of picking 4 b.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, s: 6}. What is prob of sequence dsd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2070 and 1108098?\nAnswer: 127431270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -52289614 not equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1684? (a) -3\/7 (b) -136 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6731, -13420, -20073, -26672, -33199?\nAnswer: -39636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h + 9. What is m(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7050417 (base 8) in base 16?\nAnswer: -1c510f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s - 3. Calculate h(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-60)\/(-2))\/1 - 0\/(-3). Solve 24 = k - 5*m - 6, -4*k + 2*m = -l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 8*l**2 + 125*l - 5. Give m(-16).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -34, -19, -8, -7, -22?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + v - 89, -2*v + 3*v = 4*n - 64. Suppose -n*c = -3*c - 140. Let g be (-10)\/(-15) + c\/(-6). Is g greater than or equal to 1\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16 - -4)*(-6)\/8. Let n = 8 - l. Let j(f) = f**2 + f. Let w(a) = -2*a**2 + 2. What is n*j(s) - w(s)?\nAnswer: s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a gram in milligrams?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1363 - -1363.5. Let g = 2 - 2.2. What is the third smallest value in g, x, -3\/7, -2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7416 and 43082016?\nAnswer: 129246048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 12*z**2 - 3*z. Let i be q(-12). Let b = i - 29. Let w = 7 + b. Calculate the highest common factor of w and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/25, 0, -357, 2, -3\/8, 4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**0)\/(c*(c**(2\/19)\/c)\/c*c)*(c**(-1))**(-48))\/(c\/c**(-3)*c\/(c**0*c))**(-7\/6) assuming c is positive.\nAnswer: c**(3053\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 792210 is divided by 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -385*s + 88. Let i(y) = 22*y - 5. Determine 88*i(p) + 5*l(p).\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 7:53 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, y: 18}. Give prob of picking 3 y.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*q = 25396, -2*d - 30*q = -28*q - 25390. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1409, 1467, 1551, 1667, 1821, 2019?\nAnswer: 2267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 887914747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**3\/7 + 450*j**2\/7 + 8517*j\/7 = 0. Calculate j.\nAnswer: -17, 0, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 25*r - 2. Let u(z) = 85*z. What is s(u(v))?\nAnswer: 2125*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/2943 + 54955\/55917. Let q = b - 6\/19. Solve q*x**4 + 1\/3*x**5 + 0*x**3 + 0 - 2\/3*x**2 - 1\/3*x = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278973*u**2 - 557984*u**2 + 278985*u**2.\nAnswer: -26*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11444.97 - -11445. Sort r, 3\/2, -8 in descending order.\nAnswer: 3\/2, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -14, 0, 73 in increasing order.\nAnswer: -14, -5, 0, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -20, -4, 30, 88, 176, 300, 466?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -32. Suppose -5*l + 25 = j. What is the first derivative of -1 + 3 + c**l + c**3 wrt c?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**5\/30 - 32*q**4\/9 + 131*q**3\/9 - 22*q**2 + 19*q + 1. Determine h, given that c(h) = 0.\nAnswer: -66, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 73 - 73 + 40*v in the form u + h*v and give h.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, n: 14}. What is prob of picking 1 o and 1 n?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1481968?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1120?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6*u - 1 = 4*n, n = 3*u - 13. Suppose -5*r + 285 = 4*x, 0 = -u*x + 5*x - 4*r - 110. What is the highest common factor of x and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*j + c, 4*j + 2*c + 2*c - 32 = 0. Is 10 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 17, -3, 2, -85, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19760 - 19599. Solve -166 = w - r, 3*y = 3*w + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*a**2 - 220*a**2 + 130*a**2.\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 2*h - 28. What is the greatest common factor of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4981 + 0.0019. Suppose 8 + 0 = x. Let m = x + -11. What is the nearest to m in 2\/11, f, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18681572 rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 - 4)*(w + 0 + 0) + 1288 - 1288 - 12*w.\nAnswer: -22*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-9) - (-114)\/27. Suppose -5*z + 11 = u*a, -2*z - a + 2 = -z. Suppose z = -4*b + 7. Which is smaller: b or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l. Suppose 2*v - 5 = -0*s - 3*s, -5*v + 2*s = -3. Let g(i) = 16*i**3 + i**2 - 2*i. Let n be g(v). Let h(t) = -33*t + 14*t + n*t. Give c(h(j)).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/8 of a decade?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.9? (a) -7\/5 (b) 0.5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - g - 2*g)*(g**4 + 3*g**3 - 3*g**3) + 0*g**5 + 2*g**5 - 4*g**5 + 55 + 25*g**5 + 18*g**5 - 53 + (0*g**2 + 2*g**2 - g**2)*(4 - 4 - 2*g**3).\nAnswer: 37*g**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m - 7. Let r(x) = -x - 6. Let q(p) = -3*r(p) + 2*t(p). Let z be q(-4). Let s = z + -1. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -28*q**3 - q - 1. Let c be y(-1). Let v be c*1\/((-21)\/(-36)). Calculate the greatest common factor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) -1\/6 (c) 821 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oidp when four letters picked without replacement from opiodp?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/75999 and 117\/101332.\nAnswer: 303996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzz when three letters picked without replacement from zfpz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2064\/94031 - 2\/931. Which is greater: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8064.047 decades to years.\nAnswer: 80640.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 21*k - 21. Let x(t) = -6*t - 6. Let w(s) = 2*n(s) - 7*x(s). Let r(u) = 18*u**2 + 3. What is r(w(h))?\nAnswer: 72*h**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/2 and ((-47)\/2)\/(44\/8).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**5\/50 - r**4\/5 + 3*r**3\/5 - 4*r**2\/5 - 7*r. Factor x(z).\nAnswer: 2*(z - 4)*(z - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d - 19. Let x(r) = r + 1. Suppose 2 = p + 1. Let h(s) = p*q(s) + 2*x(s). Let k be h(-21). Solve 2*z = -2*t - 18, -4*z = -k*t - 0*t - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 3 - 5 + 3 + 0 + 0 - 1 - 1 + (2 - 1 + 1)*(-4 + 3 + 3))*(2*y**2 - 2*y**2 + 3*y**2)*(-6 + 6 - 9*y) to g*y + v + t*y**3 + q*y**2 and give t.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 488 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -213?\nAnswer: -5\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 5 (b) -1\/8 (c) 7379 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -14. Which is the third smallest value? (a) -2 (b) 0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 5. Let d(r) = -r**2 + 1. Let f(x) = -5*d(x) + v(x). Let q(w) = -w**2 - 2*w**2 + 4*w**2. Give f(q(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12863 + -12841. Solve 50 = 18*c - l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*z = 2*d + 4, 3*z = 3*d + 3. Let u = 2 + z. Let c(i) = -3*i + 13. Let s be c(u). Do -4 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 274, 681, 1366, 2335, 3594, 5149, 7006, 9171?\nAnswer: 11650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q. Let f = -247 - -249. Let y(m) be the second derivative of 0*m**f - 1\/3*m**3 + 5*m + 0. Determine y(c(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cn when two letters picked without replacement from {n: 2, c: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15051*q**5 - 4897*q**2 - 28 + 9812*q**2 - 16*q - 4911*q**2 wrt q.\nAnswer: -903060*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 5*i + 6*i, 0 = -t - 5*i. Solve -5*j + 5*f + 81 = 61, t = -5*j - 5*f + 10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 761 * 1.1.\nAnswer: 837.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*r + 13*r - 666. Let x = -115 - r. Let p(v) = v - 1. Let u(w) = -3*w + 5. Let g(q) = -4*p(q) - u(q). Give g(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - z = w - 14, 18 = 2*w + 5*z. Calculate the remainder when 3 is divided by w\/14 + 24\/14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0123 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4331089 to the nearest integer?\nAnswer: 2081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**3*s + 6*f**3*x + 7*f**3 + 538*f + s*x wrt f?\nAnswer: -18*f*s + 36*f*x + 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-48) + ((-91)\/(-6))\/1. Suppose w*n - 5044 - 866 = 0. List the prime factors of n.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 675 and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**2 + 12*r + 15. Let u(g) = -2*g**2 - 6*g - 7. Let q(b) = 3*i(b) + 5*u(b). Let k be q(7). Solve y = k*t + 4, y - 8 = 3*y + 2*t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12680116?\nAnswer: 2, 31, 102259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/9 - 260\/(-117). Suppose 3*c - 263 = o*c. Suppose s - 4*x = -4*s + 291, 3*x - c = -5*s. Calculate the highest common factor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2665, 2989, 3537, 4309, 5305, 6525, 7969?\nAnswer: 9637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 35 = 12*h. Let n(l) = l**2 - 8*l + 10. Let p be n(h). Let r = p - -8. Solve -c - i + 22 = 3*c, c + r*i = 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 7. Suppose -9 = g - 5*l + 2*l, -g - o*l + 16 = 0. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.05 and 0.231?\nAnswer: 0.281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/31)*w**(-2)*w*(w**4)**11 assuming w is positive.\nAnswer: w**(1331\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**3\/7 - 1548*t**2 - 97112*t\/7 + 237600\/7 = 0.\nAnswer: -2700, -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(22)\/sqrt(11))**2*5 + -3.\nAnswer: sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 3\/5 (b) 0.4 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-28 - (-28 + 17))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 917227106 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + -0.2065. Round a to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 12 = 4*a, -3*a - 2*l + 7*l = -2. Let h be 1 + (-9*(-1)\/3 - -35). Let b be 12\/18 - 32\/h. Put a, 0.03, b in descending order.\nAnswer: a, 0.03, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -105. Let p = u - 41. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4594?\nAnswer: 2, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 131*r**3 - 22*r**2 + 1 wrt r?\nAnswer: 786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 345.5, -24, -7, 5 in descending order.\nAnswer: 345.5, 5, -7, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ucc when three letters picked without replacement from {u: 1, c: 12}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**4\/12 - t**3\/6 + t**2 + 3*t. Let v be n(2). Let j be (2\/(-2))\/(-1 - 0). Sort v, j, -5 in descending order.\nAnswer: j, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p**6\/5 - 4*p**3\/3 - 15*p**2 - 12. Let d(u) be the second derivative of k(u). Find the first derivative of d(r) wrt r.\nAnswer: -72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 12:22 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -291, -672, -1053, -1434, -1815?\nAnswer: -2196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/2947 or -1?\nAnswer: 2\/2947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 10:31 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3595 + 16*b**2 + 3710 - 7305.\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 866331277.\nAnswer: 7, 19, 43, 151483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -7.972 and 3457.457.\nAnswer: 3449.485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 3*a = -3 - 7 - 8, -3*a = -6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 - 67. Are 7 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-10))\/((-12)\/(-10)). Which is the smallest value? (a) 0.08 (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 h, and 2 r when four letters picked without replacement from brmhrws?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 3:27 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.15 in 3, 0.3, -1\/3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11568*h**2 + 11591?\nAnswer: 23136*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -13. Suppose -o*q = -3*q + 445. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 26504, 211806, 714770, 1694228, 3309012, 5717954, 9079886, 13553640?\n\"Answer: 26472*l**3 - l**2 + l + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36\/11 - 2\/11*b**2 - 18\/11*b.\nAnswer: -2*(b + 3)*(b + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 798636105 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -2. Suppose -b = y - 2*y. Suppose -5*u - t + 4*t + 23 = 0, -u + y*t = 5. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (813\/60 + 1 - (-658)\/(-47))*18\/33?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -6. Let z(g) = -g**3 + 4*g**2 + 3. Let v be z(u). What are the prime factors of 2*v\/(-2) + 18?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4696*a**2*f**3 + 3*a**2 - a*f**2 + 38*a*f + f**2 wrt f?\nAnswer: -28176*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11858 and 0.7?\nAnswer: 8300.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*i**2 + 4*i**2 + 0*i**2 + (-2 + 1 + 3)*(-3 + 2*i**2 + 3).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*t = 484*t + 3010 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586544?\nAnswer: 2, 7, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 4:40 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -5 + 3 - (-4 + -12)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-25) - (18\/5 + -3). Suppose x - f = 97, 0 = x - o*x - 3*f - 99. Let v = 36 + x. List the prime factors of v.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 43*k**3 - 40.\nAnswer: 43*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377927388?\nAnswer: 2, 3, 10497983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 153*j**3*n**3 - 2*j**3*n + 137*j**3 - 4*j**2*n**3 - 8*j**2*n**2 + 3*j*n**2 wrt n.\nAnswer: 918*j**3 - 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*k - 13 + 3, 0 = -5*c. Let d be k\/10*(2 - 3). Sort 1\/7, -1, 2\/11, d in descending order.\nAnswer: d, 2\/11, 1\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 627 = 3*a, 4*a + 0 = -4. Let p be 380\/20 + 4\/(-8)*-6. Suppose 20*k + 52 = p*k. What is the highest common divisor of k and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 10. Suppose 48 = -4*n + a*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(((d\/d**(-2\/9))\/d)\/d)*d)**(-1\/4))**(2\/17) assuming d is positive.\nAnswer: d**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7285, -14557, -21829, -29101?\n\"Answer: -7272*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15414 or 15415?\nAnswer: 15414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10353 (base 7) to base 8\nAnswer: 5032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 51861 = -2*l - 51869, 2*y = -2*l + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1152\/56)\/12)\/(2\/(-7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 40)*(-4 - 4*x + 4) - x + 1 - 1.\nAnswer: -161*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 1031 = -3*r, 2*z + r - 6*r - 519 = 0. Let w = 146 + z. List the prime factors of w.\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pjpppppppjppjjpjppj. Give prob of sequence pjpp.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 4. Suppose -q*f + 24 = f. Let o be 2\/(-4)*-1*6. Solve -o*s = s - f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xirr when four letters picked without replacement from {k: 3, m: 2, r: 2, i: 1, x: 4}?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1179 (base 14) to base 16\nAnswer: -be7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 17. Let b be (-5 + (t - 1))*-17. Calculate the greatest common divisor of 119 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -290284.64 rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15554925?\nAnswer: 3, 5, 257, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 205115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1127982 and 591?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 60 - 80 = 5*y, y - 127 = -4*n. Is 13 a factor of 3\/(3\/4)*n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/60*(-5784)\/241)\/((-6)\/(-4))\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 203, 460, 809, 1244, 1759?\nAnswer: 2348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1, -16, -17, 2, 47, 124, 239, 398?\n\"Answer: n**3 + n**2 - 25*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 - -22. Let t = 89.7488573 - 107.748856. Let z = k - t. Round z to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a century in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 1:48 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -10. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 16961.631 months?\nAnswer: 1.41346925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 321798?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1288 - -1439. Calculate the remainder when k is divided by 47.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**2. Let o(r) be the first derivative of 2 - 1\/2*r**2 + 0*r. Calculate o(y(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = g - 3. Let v = g - 14. Let j(h) = h**2 + 10*h - 9. Let k be j(v). Solve -6 - k = 2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -10\/29 (c) 1\/4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4 + 8 - 10 - 28*t. Let p be g(2). Let c be (-36)\/p + (-12422)\/3. Round c to the nearest one hundred.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 909452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 194*y + 226*y - 499*y to z*y + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - p + 40. Let q(s) = -s + 11. Let j be q(p). Suppose 3*f - 3*w - 33 = 0, -2*f - j*w + 8*w = -10. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: d29db (base 15) to base 16\nAnswer: a2de2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from nnsrrrxxssr?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-24)*(-3)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17971359 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228 and 7835505?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 10 = 6*d - 3*d, 2*d - 3*j + 2 = 0. Let w(x) = 0*x**d + 6*x**2 + 5 - 5*x**2 - 6. Let c(v) = 6*v**2 - 7. Determine c(z) - 5*w(z).\nAnswer: z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 562413?\nAnswer: 3, 187471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 2. Let z = 102 - 100. Suppose -4*g + u + 6 = 30, 2*g - 3*u + 32 = 0. Sort z, g, y, -2.\nAnswer: g, -2, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 170 or 53.843?\nAnswer: 170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001388688 to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -10*i + 8*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqdd when four letters picked without replacement from qdddq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(420) + ((-2*sqrt(420) + sqrt(420) - sqrt(420)) + sqrt(420) - sqrt(420)))\/sqrt(7))\/(sqrt(108)*5).\nAnswer: -sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 1 - 5. Let d = -16 + -1.6. Let u = -12.6 - d. Put x, -5, u in decreasing order.\nAnswer: u, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1228 and 0.4.\nAnswer: -491.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 6 = 5*p - p, 0 = 2*n + 3*p - 16. Calculate the remainder when n + 0 + 52 + 4 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8107100123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -175.0931 + 0.0931. Let b = -419.6 - -252.7. Let n = b - g. Round n to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9411 + 329411\/35. Calculate the common denominator of 6\/55 and s.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20763084 divided by 5190771?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**3 - 166*l**2 - 354*l?\nAnswer: -12*l - 332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4 - 2 - 2*y**2 + 5*y + 4 + 3*y**3. Suppose -l = -5 - 5. Let p(n) = 2*n**3 - n**2 + 3*n - 1. Determine l*p(v) - 6*h(v).\nAnswer: 2*v**3 + 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 - 10*n - 23. Let s be k(-5). Let j = -63 + s. What is the smallest common multiple of 18 and j?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 381 - 370 - (-2 + 19).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27 - 28 - 5*l**2 - 39*l**2 - 177*l**3 + 25 - 25 wrt l.\nAnswer: -1062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 * -4\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -31a + -41b?\nAnswer: -738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002036951 rounded to six dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 13. Suppose -4*l + o = -2*l. Suppose l*z - 54 = z - 3*i, 3*z + 3*i - 78 = 0. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 48 = 272. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1079*f + 988*f + 13365 = 800*f for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 10:35 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*v**2 + 31188*v - 31196.\nAnswer: 4*(v - 1)*(2*v + 7799)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 47?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -172995, -3 in descending order.\nAnswer: -3, -13, -172995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10260604?\nAnswer: 2, 2565151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeveve. Give prob of picking 1 v and 1 e.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18\/1970957 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -10*n**2 - 13*n - 3. Let c(h) = 51*h**2 + 67*h + 15. Let m(f) = -2*c(f) - 11*g(f). Calculate the remainder when m(-2) is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-15) - 7135086\/(-2530). Let w = c - 2821. Suppose 10 = -y + 5, -5*i - 4*y - 20 = 0. Does w = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 - -70. Suppose f = -4, -a + 8 = -f - g. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68355 + -68359. Let j = -3 - 11. Which is the nearest to u? (a) j (b) -0.2 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -27.2. Which is the closest to -3\/2? (a) 1 (b) j (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.8 * 13.62.\nAnswer: -92.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4276 and -9.3.\nAnswer: 39766.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -2\/5, -3\/8, -11.1125?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.758420662 to 2 dps.\nAnswer: -0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 t when three letters picked without replacement from tcmmccmcctmmcmmmm?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + (sqrt(1216) - (1 + sqrt(1216) + sqrt(1216) + -3) - sqrt(1216) - (sqrt(1216) + sqrt(1216)*-1 + -5)) + -4))**2.\nAnswer: -800*sqrt(19) + 121625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 113*w**2 + 22*w - 53. Let g(h) = -114*h**2 - 21*h + 54. Let r(f) = -3*g(f) - 2*z(f). Is r(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1425354.\nAnswer: 2, 3, 7, 33937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 60, 73, -8, 5 in descending order.\nAnswer: 73, 60, 5, -3\/2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 101001001011?\nAnswer: 101001000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 12, -344*c + 347*c + 3*y = 27. Let o be 0 + 1*(9 - 2). Suppose -2*i - 115 = -o*i. What is the remainder when i is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, 5, -0.58, 33?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -751 divided by 38699\nAnswer: -751\/38699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.09 (b) 2\/5 (c) 1 (d) -0.2 (e) -1\/269\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**5\/d)\/d*d**(2\/5)\/d)**(-2\/39)*(d\/(d*d\/d**(-1\/3))*d**(2\/9))**38 assuming d is positive.\nAnswer: d**(-24772\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 25 = 2*x. Let m = -3 + x. Let b = m + 47. What are the prime factors of b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/1280)\/(3\/(-12)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-17 + 0 + 10 - -2) + 39 + 3).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*b - 43. Suppose -u = 5*k - 6*u - 20, 5*u = -b. Let z(s) be the first derivative of -7*s**4\/4 + s**3\/3 + s**2\/2 - 1085. What is z(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**2\/2 - 3*j - 1. Let i be h(5). Suppose -o + 19 = k - 4*o, -5*o - 36 = -i*k. Solve -2*a + 3 = k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 + 22*b - 313. Calculate the remainder when v(8) is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315) + sqrt(315)*-1)\/sqrt(5))\/(sqrt(54)\/sqrt(150)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 4:32 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 5*j, 4*u - j = 10 + 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-172)\/3397*-7*(-3)\/(-42)?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1.06. Let n = -2.26 - s. What is n rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (-8 - -5) + 1\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*b + 5*p, b - 2*b - 2*p + 7 = 0. Let o = 0 + 0. Suppose o = -3*f - b*j + 93, 4*f + 3*j - 5*j - 124 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 236 = -0*h. Suppose -3*j - 5*x + 2 = -j, 0 = 5*j - x - h. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.4. Let w(r) = -13*r + 222. Let c be w(17). Is n at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 2. Let i be m(5). Let n be (-1 - 6\/9)*3. Sort i, 5, n in increasing order.\nAnswer: n, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymxy when four letters picked without replacement from {y: 3, h: 2, m: 1, d: 1, x: 12}?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 243344+-0.78\nAnswer: 243343.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.12*2451.5\nAnswer: 294.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 11599?\nAnswer: 34797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 32 = 6. Suppose -43*y + l*y = -1735. List the prime factors of y.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1223.9 - -1003. Let y = -221 - l. What is the nearest to -1 in -4\/7, -4.7, y?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -6*sqrt(432) + 2)**2 - (sqrt(30)\/sqrt(10) + -2 + sqrt(3) + 3 + -2).\nAnswer: -434*sqrt(3) + 15562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -335, -721, -1161, -1655, -2203?\n\"Answer: -27*z**2 - 305*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (((-9)\/1)\/3 - -3). Calculate the greatest common factor of u and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 12.164577us?\nAnswer: 0.00000020274295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*f**3 + 2*f**2 - 13947*f - 2148372 wrt f?\nAnswer: 45*f**2 + 4*f - 13947","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -44 + -3?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11739793*t**4 - 5965955*t**2.\nAnswer: -281755032*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t. Let k(b) = -78*b**2 + 2*b + 1. Let u(s) = -k(s) + o(s). Let i be u(-1). Suppose 0 = 3*a - 82 - 74. What is the highest common factor of i and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 315, 630, 945, 1260?\n\"Answer: 315*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96950 is divided by 68?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28102 + -1488868\/53. Are j and 10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 9*l = 4. Suppose -5*c = 21 - 866. Suppose -84 = -p + 2*h, l*p - 2*h - 1 = c. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/3 + (-8)\/(-6). Let n(w) = w**2 - 2*w + 7. Let m be n(3). Let h be 2*(6\/m)\/(-3). Which is the closest to -0.1? (a) 0 (b) o (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5\/4)*(x**(-1\/2)\/x)\/x*(x\/x**(3\/7))\/(x*x**6*x)*(x\/(x*x*x\/x**(-7)*x*x)*x**4\/x)\/(x**(-1))**27 assuming x is positive.\nAnswer: x**(219\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*w**4 - 2*w**4 - w**4 + w**4 + 312*w - 4*w**3 - 4*w**4 wrt w?\nAnswer: -108*w**2 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -895 - -202. Let m be (-6)\/(-4) - h\/(-22). Is -94\/3 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/3)\/o*o*o*o**4)\/(o**(-4\/3)\/(o\/(o\/o**(-3\/5)*o))))\/((o**(-11)\/o)\/(o*o**(-2\/53)*o))**(-27) assuming o is positive.\nAnswer: o**(-294877\/795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4765651\/50 at most 95314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*i = -41*i + 6110. What are the prime factors of i?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/6 + (-46)\/(-3). Suppose -20 = 5*w + 3*q, -4*q + 13 = -2*w + 5. Let s be ((-11)\/4 + 2)*w. Solve -x - 4 = -3*j, 4*j = -s*x - j + i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270650.\nAnswer: 2, 5, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12884741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283484, 283483, 283482, 283481, 283480?\nAnswer: 283479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 852*i**2 + 123*i + 997. List the prime factors of y(-9).\nAnswer: 2, 47, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence olka when four letters picked without replacement from amaakavommkl.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -4, -5, -16, -1\/57?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1\/6))\/f)\/(f\/f**(-8\/3))*((f*(((f*f**(-1\/4)*f*f)\/f)\/f)\/f*f*f)\/f)**(-43) assuming f is positive.\nAnswer: f**(-949\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272750441?\nAnswer: 8861, 30781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30022002 - -44?\nAnswer: -30021403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a**4\/3 + 4*a**3\/9 - 14. Determine i, given that p(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77 + -55. What is the highest common divisor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 14*k - 10. Let j = -76 + 69. Let b = j - -20. Let g be d(b). Let i(x) = -x**2 - x + 4. Determine i(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 456633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 1b58b?\nAnswer: -1b586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(4\/9)\/l)\/l*l**5)\/(l**(-12)\/l**(3\/16)))**(-48) assuming l is positive.\nAnswer: l**(-2395\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 120577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -7*s + 241. Let x be z(32). Suppose 81 = 4*d + 3*w - 1184, 975 = 3*d - 3*w. Let n = d - 167. Calculate the highest common factor of x and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -2, 123 in decreasing order.\nAnswer: 123, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 2398.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a week in seconds?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 11:31 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 116\/(-145) + (-54)\/(-5). Let o(f) = 2*f**2 + 4*f - 1. Let s be o(-3). Solve 5*i - q = -8, s*i + 0*i - p = -5*q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1802059, -3602788, -5403515, -7204240, -9004963, -10805684?\n\"Answer: q**2 - 1800732*q - 1328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2132651 (base 10) to base 4\nAnswer: -20020222223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((-5)\/(-2) - 2). Let w be (-3)\/12 + 1\/i. Solve w = -2*a + a + 4*l + 7, 2*l = 4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**2 - 2433670*q - 7300965 = 0. What is q?\nAnswer: -486731, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10332222302 (base 4) to base 14\nAnswer: 25d974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 - 9*z + 12.\nAnswer: -3*(z - 1)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 847 and 15.\nAnswer: 12705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*sqrt(7) + (-5 + sqrt(7))*-3.\nAnswer: -5*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.4782119 hours?\nAnswer: 1721.56284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + 2*sqrt(72))\/((-1*sqrt(66) - sqrt(66) - sqrt(66) - sqrt(66))\/sqrt(11)))**2 - ((sqrt(81)*6)\/sqrt(3) + 1).\nAnswer: -18*sqrt(3) + 59\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -3. Suppose 0 = -d + 2*s - 7*s + 14, 2*d - 4*s = 14. Let h = d - x. Let b(v) = -v**3 + 6*v**2 - 6*v + 1. Give b(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.021 and -0.1?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**4 + 18*f**3 + 120*f**2 - 306*f - 405 = 0. What is f?\nAnswer: -5, -1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42737 is divided by 21360.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 4) in base 6?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 + 4*o**2 + 17*o + 12. Let q(m) = m**3 + m + 1. Let u(r) = -h(r) + 3*q(r). Calculate the remainder when u(7) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11095?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 13*o**2 - 1366*o + 12450. What is r(95)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8\/(-24) + (5 - (-12880)\/12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(9\/2))\/(f*f*f**(3\/8)) assuming f is positive.\nAnswer: f**(-39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 241*x**5 + 154932*x**4 + 1203*x + 23105 wrt x?\nAnswer: 4820*x**3 + 1859184*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 339 + (3 + 62)\/(-13). Let c = -334 + m. Solve c - 8 = -4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24719 is divided by 55?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (6 - (-2 - -4))) + -5 + 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 396 and 402644.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -4904627113508?\nAnswer: -4904627113507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2 - 36*g + 23. Determine q(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14043, 27483, 40313, 52533, 64143?\n\"Answer: -305*m**2 + 14355*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3169.4077 - -3169. Let y = -7.51 - -7.1. Let c = y - f. What is c rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/25)*s)\/(s*s**5*s*s) assuming s is positive.\nAnswer: s**(-173\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**5\/60 - 3*s**3\/2 + s**2. Let c(f) be the first derivative of u(f). Let v(d) = -2*d**2. Determine v(c(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 137878 and 32344.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1805*p + 135*p**2 + 2 + 7224*p - 1803*p - 1809*p - 1809*p to g*p**2 + m + i*p and give g.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - x**2 - 1. Calculate r(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 2*l - 88 = 0. Suppose o + l*o = 0. Solve o = a + 7 - 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2592354?\nAnswer: 2, 3, 432059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -719, -1402, -2081, -2756, -3427, -4094?\n\"Answer: 2*h**2 - 689*h - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -2*q. Suppose q*u - 3*u = -12. Suppose 2*f + 48 = 4*m, f - 3 = -u*m + 33. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 810 - 204. Suppose -33*n = -30*n - r. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -568*h + 2*h**2 - 16*h**2 - 2*h**3 - 8*h**2 + 40*h**2 + 48*h**2 wrt h.\nAnswer: -12*h + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -83128 or -82719?\nAnswer: -82719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 428 and 2885?\nAnswer: 1234780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*o**2 + 134529*o + 653813 wrt o.\nAnswer: -8*o + 134529","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76589994?\nAnswer: 2, 3, 13, 73, 13451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 0*m + m)*(10 - 174*m + 21 - 29).\nAnswer: 174*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/16*(-324)\/(-135).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 8 + (-4 - (5 - -2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.14 smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 4, 9.018, -2\/11, -0.01?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 446 = 8*f + 2254. Let b = 225 + f. What is the third smallest value in b, 0.5, -0.34?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (278967 + -1)*(12\/(-8) + 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 7. Let r be -3 - ((-27)\/(-18))\/((-1)\/4). Determine s(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 7*i**2 + 6*i + 2. Let f be v(-6). Suppose -5*n + 1129 = 4*p, f*n - 37 = -2*p + 415. Is 45 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1611903, 3223772, 4835643, 6447516, 8059391, 9671268, 11283147?\n\"Answer: k**2 + 1611866*k + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28595201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13757 - 19692. Let t = -4152 - g. Let v = t - 28509\/16. What is the common denominator of v and -75\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -139, -349, -663, -1093?\nAnswer: -1651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -8. Let m = 0 - c. Suppose -5*u - 2*w = -537, m = u - w + 4*w - 97. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from jhj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2216307994 and -91?\nAnswer: 2216308085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(4) - (sqrt(4) - sqrt(64))*-5) + -5)**2 + 5.\nAnswer: 5*sqrt(17)\/7 + 5897\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 5:53 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -444 - 752. Let o = 1196.0691 + t. Round o to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k + 3*b + 18 = 15*k, 4*k + 5*b = -37 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2593301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23022*i*n**3*t - 22*i*n**2 - i*n*t + 2*i*n - 154*i*t + i - n**3*t - 306*n*t wrt n?\nAnswer: 138132*i*n*t - 44*i - 6*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 105 - -4901161233122\nAnswer: 4901161233227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*p + 18 = 0, -4*p + 0*p - 47 = -5*s. Suppose 7 = -3*a - s. What is the units digit of (-104)\/(-18) - a\/27?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0384 + -361146.44.\nAnswer: -361146.4784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 10*d - 4*d - 3)*(2*d**2 + 4*d**2 - 4*d**2)*(2*d**2 + 0*d**2 + 0*d**2).\nAnswer: 24*d**5 - 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -8244880 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*((j*j\/(j\/(j*j\/(j*j*j**(-7)*j*j))))\/j)\/j)\/(j**(2\/7)*j))\/(j**(2\/15)\/(j**(4\/7)\/j)))\/((j**1\/j)**(2\/19)*j**(5\/2)\/j**(-2\/9)) assuming j is positive.\nAnswer: j**(271\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 104746 at most 733217\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -42 + (55 - 66)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 78820 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**3 + 25*u**2 + 8*u + 6. Let t(w) = -34*w**3 - 170*w**2 - 56*w - 40. Let i(j) = -20*p(j) - 3*t(j). Factor i(q).\nAnswer: 2*q*(q + 1)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 6*b**2 - 8*b - 8. Let h be i(-5). Calculate the greatest common divisor of 217 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.3 and -10.187477.\nAnswer: -13.2437201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4\/7 + 3750972*h**3\/7 - 1172482578732*h**2\/7 + 122165258980875764*h\/7.\nAnswer: -4*h*(h - 312581)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.109 times -17?\nAnswer: -1.853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 730, 0, 7776 in decreasing order.\nAnswer: 7776, 730, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*a + 16*a - 100. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 152865194.7 to the nearest ten thousand.\nAnswer: 152870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1278 is divided by 185?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15560, 1, -4.\nAnswer: -4, 1, 15560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m - 3*m**2 + 0*m - 98 + 98.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h - 4*h - 5*h)*(3 - 3 - 1) + 4 - 841*h + 407*h + 411*h to a*h + r and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 - 7*w + 3. Let n be u(5). Let o(v) = -2*v + 12. Let g be o(-3). Calculate the greatest common divisor of g and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(56\/(-1232) - 6\/(-11))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/3? (a) -6.2 (b) 0.4 (c) 5 (d) -4 (e) -0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26916)\/(-9180)*-15 + 44.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -51\/1469?\nAnswer: -51\/1469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/(-3))\/((-59)\/(-177)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -419*u = -435*u + 1872. What is the remainder when u is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 834, 837, 840, 843?\nAnswer: 846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/24 and (0 + 1\/(-30))\/(98\/(-2275))?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131 = 7*g - 3*x, -49 = -2*g + g - 7*x + 12*x - 246 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 295 + 1c23a?\nAnswer: 1c4d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-136 - 189 + 49)*(3*u - 5*u + 4*u).\nAnswer: -552*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 3*s = 82 - 39, 0 = -3*s - 3 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*p - 10*p - 1, 2*p - 4 = r. Let o(w) = 102*w - 74. Let z(c) = -c**2 + c + 1. Let s(g) = p*o(g) + z(g). Find the first derivative of s(k) wrt k.\nAnswer: -2*k + 103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -525, -510, -495?\n\"Answer: 15*m - 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 36*l**2 + l. Let p be y(-1). Suppose 4*k + p = -k. Let z = k + 11. Solve 3*u - z = -19 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25111537 or 1?\nAnswer: -25111537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10820 is divided by 592?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 146689 and 383?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3\/5 + 72*i**2\/5 - 48*i + 224\/5.\nAnswer: -4*(i - 14)*(i - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 5*r**2 + 14*r + 2. Let p be g(7). Solve 0 = 3*u - 5*u - p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 8438*f**3\/3 - 17*f**2 - 38*f - 9460. Find the second derivative of x(a) wrt a.\nAnswer: 16876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4292 is divided by 132.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 11:07 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13624 - 28419\/2. Let h = o - -539. Calculate the common denominator of h and (-4)\/(-10) - 192\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -23, -55, -107, -185?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2018 - 1329. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by -78.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -666.1 rounded to the nearest 10?\nAnswer: -670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*(-1*(sqrt(204) - 3*sqrt(204)))\/(sqrt(588)*3) + -1.\nAnswer: -3 + 2*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 30. What is the greatest common factor of q and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55*v**6 - 388*v**5 - 108*v**2 + 425 wrt v.\nAnswer: -6600*v**3 - 23280*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.1 take away 4.7?\nAnswer: -11.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*d + 11. Let c(x) = x**2 + 2*x - 20. Let z be c(d). Suppose 12 = -3*t, z*t = -4*l + l - 7. Solve 3*w + 4*m - 1 = -2*w, 0 = -2*w - 5*m - l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*y - 3*y. Suppose 2*i - y*d = -226, 3*i + 305 = -d - 3*d. Round i to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -14*p. Let u be (-2 - 5\/(-1)) + 5. Let k(b) = 4*b + 8*b + u*b - 16*b. What is k(a(f))?\nAnswer: -56*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + -4)*-2.\nAnswer: -12*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 divided by -172447?\nAnswer: 174\/172447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -448*y - 14*y**2 + 440*y - 384*y**3 + 14*y**2 to b*y + h + k*y**3 + w*y**2 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 241 - 236. Suppose 4*n + 80 = 3*k, -d*k = 2*n + 16 - 106. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1116739321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 24*p - 3. What is the units digit of k(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 18 = 10 - 40 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Is 283300487 a multiple of 3359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 8:30 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2505*b = 2527*b - 4004. Solve -178*d = -b*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 58\/(-3) - 8\/12. Let a(v) = -v**3 - 3*v**2 + 91*v - 19. Let x be a(8). Sort 0.2, u, -0.5, x in ascending order.\nAnswer: u, -0.5, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3704668432 + -484.\nAnswer: -3704668916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1.6 (b) 1\/6 (c) -2\/25149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 - 6*f**2 + 22*f - 9. Let l(y) = 3*y**3 - 5*y**2 + 22*y - 10. Let q(i) = -3*l(i) + 4*t(i). Let x be q(-11). Which is greater: x or -7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 - m + 96. What is g(-15)?\nAnswer: 561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7067554 is divided by 171?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 7:02 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 289 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**2 - 5*r - 4. Give i(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2616791?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-15 + 12 + 15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -1111111*q**3 - 2*q**2 - q - 2. Let j be b(-3). Let r be j\/(-50) - (-2)\/(-5). Round r to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 13*o - 20. Let u be q(12). Let h = u - -53. Suppose h*a = 20*a + 98. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -3*y - 28, 3*y - 5*n + 30 = 22 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12393\/513 - (48\/(-57) - -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1432*h = -1425*h - 49. Solve -5*s = -g - 1, 2*g + 48*s - h = 49*s for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 62256, 124513, 186756, 248979, 311176, 373341, 435468?\n\"Answer: -t**3 - t**2 + 62267*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 170*r**3 + r - 191*r**3.\nAnswer: -361*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24229 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 244309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 25762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q. Let z be v(-1). Let m(k) = k + 1. Let l(d) = -d**2 - 2*d + 1. Let o(s) = z*l(s) - 2*m(s). What is o(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5049?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 246 - 159 = 0. Calculate the highest common factor of n and 720.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 112. What is the units digit of v(34)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3 + 119\/21. Let o = -0.44 + 0.04. Which is the smallest value? (a) x (b) 0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of -28*(-47)\/((-1645)\/(-150))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-216)\/(-20) - (468\/13 - 26).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15260 and 37988244?\nAnswer: 3052","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + j + 9. Let n be y(0). Let s(z) be the first derivative of z**3 + 9*z**2\/2 + 9*z + 2926. Let k(u) = -u**2 - 2*u - 2. What is n*k(h) + 2*s(h)?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -9123 less than -9120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/20*(-12)\/(-66)*5\/(-10)*10?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 7:34 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + 5. Let n = -9 - -15. Calculate the remainder when g is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.107715 rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*p - 23 + 105, -5*p = 3*a - 102. Calculate the greatest common factor of 231 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q - 5. Suppose -20 = 4*w, 23 = -5*n + w - 42. What is the tens digit of h(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 158559894091 - 0.065.\nAnswer: 158559894090.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 11. Solve -h + t*h = 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52468 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 11 = -2*g - 4, -35 = 3*g + 4*z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 16 = -0*g, -5*g + 25 = h. Suppose k = 18 - 15. Let a(c) = 6*c**3 - 5*c**k + 37*c**2 - 42*c**2. Calculate a(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p - 4. Let w be m(-3). Suppose 0 = -w*h + 4*h - 10. What is the third derivative of -2*y**4 - 11*y**2 + 3 + h*y**2 - 3 wrt y?\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4262 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: Two letters picked without replacement from {l: 2, z: 15, k: 3}. What is prob of sequence ll?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5*(sqrt(720) + sqrt(720) + -1) + sqrt(720) + 5 + 0 + sqrt(720))**2.\nAnswer: -2496*sqrt(5) + 46249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 2994 = -2*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(1\/3))**7)**10)**(-42) assuming w is positive.\nAnswer: w**(-980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 431178746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61\/3, -377292, 0.11 in decreasing order.\nAnswer: 0.11, -61\/3, -377292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -a + 3. Let r(o) = -o**3 + 7*o - 1. Calculate the least common multiple of (-11)\/a + 6\/(-9) and r(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310*j + 56 = 314*j. Let m(h) = -14*h - 1. Calculate the remainder when m(-4) is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -206, -173, -140, -107, -74?\n\"Answer: 33*h - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 441 and 49.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5012712 rounded to the nearest ten thousand?\nAnswer: -5010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008518 to five dps.\nAnswer: -0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581 is divided by 147?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 9 = 7. Let c = u - -7. Does 19 divide -2 - 174\/(-4 - c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 52*z - 228. Calculate k(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*(-3*(-3*sqrt(3))**2 - sqrt(3)).\nAnswer: -486 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2373 divided by 339\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8378, -0.4, 2\/7, 7, -1 in increasing order.\nAnswer: -8378, -1, -0.4, 2\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/16 + (4215\/20)\/3. Suppose 7*r - 10 = 2*b + 2*r, 2*r = 0. Put 5, 0, b, p in decreasing order.\nAnswer: p, 5, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**3 + 1 - 3\/2*h**2 - h + 1\/4*h**4. What is s(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 411314 - 2.1361628\nAnswer: 411311.8638372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/15 = -13.23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 157645 and 615?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89 - -62. Let j be 8\/3 - 2 - (-45)\/p. Find the common denominator of -1\/8 and (340\/16)\/((-2 - -1) + j).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106077004 divided by -37966\nAnswer: -2794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + 171\/(-15))\/(2\/(-5)). What is the second derivative of -40*f + 47*f**2 + p*f - 8*f wrt f?\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 34. Let y be o(9). Suppose 2*a = -2*z, -5*a - 6 - 4 = 3*z. Let t = a + y. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7189721?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 >= -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 5*c - 7. Let b be j(-6). Let r be (-2 - (-1 - b))*-2. Let n(m) = 4 - m**2 - r. Let y(h) = -2*h**2. Give y(n(w)).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*r. Suppose 3*n - 15 = -r*n. Suppose 0 = -y + n*y. Put y, 3, -13 in decreasing order.\nAnswer: 3, y, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-36)\/(-6))\/(2 - 1). Suppose 3*p = g*p - 5919. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 143*q**2 - 3 + 142*q**2 - 8*q**3 - 320*q**2 to d + i*q**3 + g*q + a*q**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t**2 + 9. Let c(d) = -3*d**2 + 5*d - 8. Let w(r) = -r**2 + 2*r - 4. Let i(j) = 2*c(j) - 5*w(j). Let p = -2 + 0. Calculate p*l(g) + 5*i(g).\nAnswer: g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*d = -84*d - 69*d + 48. Let p(y) = -15*y**3 - 3*y**2 - 4*y + 3. Let a(m) = 14*m**3 + 2*m**2 + 3*m - 2. Calculate d*p(l) + 3*a(l).\nAnswer: 12*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14319920, 14319901, 14319882, 14319863, 14319844?\n\"Answer: -19*m + 14319939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -2)\/((-2)\/10). Suppose -4*n + 2*m = 134, -13*m - 160 = q*n - 8*m. Put 3, n, 1 in descending order.\nAnswer: 3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46332?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*n - 11 + 34, 16 = 3*n + a. Let d = -3 + n. Let t(i) = 10*i**2 + 2*i + 7 - 11*i**d - 6*i. What is t(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13307)\/(-140) + 5 - (2679\/380 + -7).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -8*k**3 + 7. Let y = -23 + 18. Let s(r) = 5*r**3 - 5. Determine y*c(u) - 7*s(u).\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4 + -1*sqrt(28)\/(-1*sqrt(4))*-5 + -5)**2 + -1.\nAnswer: 90*sqrt(7) + 257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -12. Suppose 25 = 5*x, 5*f - 17 + j = 2*x. Is 5 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1\/5, 52052, -4, 5, 1\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + -1 + sqrt(475)).\nAnswer: -15*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 318163, 318168, 318173, 318178, 318183?\n\"Answer: 5*p + 318158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(2 - 0))\/((-190)\/76)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**2\/4 + 603*s\/4 + 303\/2 = 0. Calculate s.\nAnswer: -1, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/6 + -1)\/((-532)\/(-114)). What is the nearest to h in -1\/6, 0.5, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1311 and 97\/6.\nAnswer: 2622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 34533930.\nAnswer: 379873230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19\/4 + -4 - 98\/(-8). Suppose 2*t - 3 - 5 = 0. Sort d, t, 2, -3.\nAnswer: -3, 2, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 14*w**2 - 3*w + 1. Give v(14).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -10*c**3 + 2*c**2 - 1. Calculate o(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**3\/7 - 135914*z**2\/7 + 4754608*z\/7 - 4618696\/7 = 0?\nAnswer: 1, 34, 67922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**9\/68040 - l**8\/10080 + l**7\/3780 - l**6\/3240 + l**4\/12 - 23*l**2. Let c(w) be the second derivative of x(w). Factor c(i).\nAnswer: 2*i*(i - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 793273165*o + 99004106?\nAnswer: 793273165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + f**3 + 0)*(-3 + 2 - 1) - 7*f + 7*f - f**3 + 1 - f**3 - 1)*(-4*f + 0*f + 2*f)*(-f + 7*f - 2*f).\nAnswer: 32*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 n when four letters picked without replacement from pnppnppppppepe.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14cfb5 (base 16) in base 8?\nAnswer: -5147665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**2 + i**2 + 5*i**2 - 6*i**2 + 3*i in the form y + h*i + q*i**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10050*f**2 - 2972*f.\nAnswer: 20100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - (-2)\/(4\/(-6))*-1) + 9511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*y**3 - 2094660*y**2 + 2094660*y**2.\nAnswer: -17*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 7*u + 13. Let a be q(8). Solve 0 = -2*y - 2*x + 4, -2*y + x + a = -2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/21868 and -49\/22.\nAnswer: 21868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14273 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**2\/5 + 685762*i\/5 + 117567380161\/5 = 0.\nAnswer: -342881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6600 or 230997\/35?\nAnswer: 230997\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -2*b - 19, 528*b + 37*t + 183 = 529*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l - 12 = -4*y, -2*l - 3*y = -7. Solve -l*n - 2*n + 5*r + 12 = 0, 0 = r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*a + 4395 + 3392 - 502 = 0 for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*s**4 + 675*s**3*y**2 + 2*s**2*y**2 - 105*s*y**2 + 71*y**2 wrt s?\nAnswer: 456*s + 4050*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 16*j**2 + 24*j + 42. What is h(14)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 120, -10, -6 in ascending order.\nAnswer: -10, -8, -6, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(448) + 4))**2.\nAnswer: 64*sqrt(7) + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8*9\/48 + (-406)\/60 and -17\/138.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - d + 5*d = -37232*m + 37236*m - 28, 0 = -6*d + 4*m - 188 for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -184 + 1254. Suppose 39*y - b = -368. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2600*n**3 - 236*n**2 - 234*n**2 + 470*n**2.\nAnswer: 2600*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 - m**2 - 2*m**2)*(-1235*m + 2235*m - 1275*m + (0*m + m - 3*m)*(0 - 4 + 2) + m + 2 - 2 + 4*m - 3*m + 0*m)*(-2*m + 0*m + 6*m)*(3 + 1 - 2).\nAnswer: -2152*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by (-13)\/((-39)\/(-30))*(-3)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rprh when four letters picked without replacement from hrrhhhrrph.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 133556726 by 1.\nAnswer: 133556726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13803 is divided by 76.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -230 (base 4) to base 5\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*m = -5*d - 108, -2*m + 2 = -6 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 200825000 to the nearest one million.\nAnswer: 201000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -59841937, -119683872, -179525807, -239367742, -299209677, -359051612?\n\"Answer: -59841935*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 517 and 22924?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -10110110?\nAnswer: -10110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 + 2)*(3 - 3*h - 3)*(-2*h - 2 + 2)*(-8 - 6*h**3 + 8).\nAnswer: -216*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111100010011 (base 2) in base 8?\nAnswer: 27423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2804a (base 11) in base 12?\nAnswer: -1b180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 10596.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.095 + -3.905. Let g = 0.54 + 0.06. Let s = -1.6 + g. What is the nearest to s in n, -0.04, 3\/5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-201)\/((-30)\/(-12) + -4) and 9.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3528826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 13. List the prime factors of (-222)\/h + 10\/40.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 181425, 362946, 544563, 726276, 908085, 1089990, 1271991?\n\"Answer: 48*h**2 + 181377*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by 182476\nAnswer: 27\/182476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 2:12 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 c when four letters picked without replacement from chcchhhchhchhh.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -217*i**4*z**2 + 5*i*z**3 - 1222*z**3 wrt i?\nAnswer: -868*i**3*z**2 + 5*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n - 32. Let l be d(10). Let r be (-4)\/40*((-14)\/l + -2). Let h(t) = t**3 + 12*t**2 + 20*t. Let o be h(-10). Which is smaller: o or r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**3\/2 + 11*u**2\/2 + u. What is the derivative of q(c) wrt c?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23 and -0.16?\nAnswer: 3.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by -861?\nAnswer: -8\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154180.\nAnswer: 2, 5, 13, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2 - 8*z**3 + 6.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 194, 767, 1722, 3059?\n\"Answer: 191*a**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68151?\nAnswer: 3, 22717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 - 39*j + 20. What is the remainder when 1\/(0 - 1\/(-197)) is divided by h(20)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 135.78 + -138. Let x = -1.7 - a. Let k = x + -0.02. What is the second biggest value in 0.4, -4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -358, -1410, -3162, -5614, -8766, -12618, -17170?\n\"Answer: -350*z**2 - 2*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9185*q - 9233 = 8976*q + 1217 for q.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*g, -5*x + 3*g = -2*x + 42. Let i(w) be the first derivative of -w**2\/2 + 6*w - 2. Is 15 a factor of i(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 + -0.3. Let d = -3 + 5.1. Let r = 2 - d. What is the second biggest value in u, r, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12995 + 12990. What is the fifth biggest value in -3, -4, -6, i, 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**9\/b*b*b\/((b*b**(-4)\/b)\/b)*b)**(1\/7) assuming b is positive.\nAnswer: b**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 345725\/77 - 4490. Does h = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7\/4 + -7\/4. Let v = 67\/18 + x. What is d in 0 - 4\/9*d + v*d**2 + 2\/9*d**3 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/(-56) + (-136)\/(-14). Let w(m) = 4*m + 5*m - z*m. Let y(h) = 4*h + 2*h - 7*h - 5*h. Calculate y(w(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 9 + 3 = -14*z, -2*t - 19 = 4*z - 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66 - 106 + 51 + (-2 + 2 - 1)*(-4 - 4 + 3))*(4 + 2*p - 4).\nAnswer: -232*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -240, -214, -180, -138, -88, -30, 36?\n\"Answer: 4*k**2 + 14*k - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42676531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58.1 - 58. Suppose 0 = -q + 1, 3*x + x = 4*q - 16. Which is the nearest to x? (a) -2 (b) -3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-2 - -5 - 1) - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 x when three letters picked without replacement from rjjrkrxjjxgjkpkjx.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 72 = 4*u + 1, 0 = -3*u - o - 18 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 18 - 2 = 0. Let x be 2\/(4 - 2)*-1. Let y = x - q. Let c(v) = -v**3 - 4*v**2 + 5*v - 1. Calculate c(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 44 in increasing order.\nAnswer: -4, 3, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-7\/3)*d**(1\/10))\/(d**(-2)\/d*d)**40 assuming d is positive.\nAnswer: d**(2503\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7678111 divided by -31.\nAnswer: -247681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1800))\/sqrt(9) + -3.\nAnswer: -10*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 529 and 147.85?\nAnswer: 78212.65","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 22 = u, -3*h + 5*h = -4*u + 16. What is the second derivative of 28*i**2 - u*i - 12225 + i**2 + 12133 wrt i?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1007)\/(-285))\/(-53)*-9.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 3*h**2 + 3*h + 12. Let m be t(-3). Calculate the highest common divisor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by (-3)\/(-4) - 169\/(-52).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 w when three letters picked without replacement from iyywwwyyyyiy.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*l + p, -5*l - 3*p + 2 - 4 = 0. Suppose -1 = z + l. Let x(u) = -2*u**2 - 3*u + 1. Calculate x(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 336.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13067\/666 - -728\/37. What is the biggest value in n, 0.1, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 768 a factor of 19041220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 24*d - 938. Determine s(39).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-13))\/(y**(-2)*y)*(y**1\/y)**(-34) assuming y is positive.\nAnswer: y**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qcccqqcqqqqccccqcqcc. What is prob of picking 3 c and 1 q?\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1413, -4, -3, -14, 40 in increasing order.\nAnswer: -14, -4, -3, 40, 1413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2477*w + 1997*w = 22560 for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -1 + 1 + r + 2*r. Let s(w) = -w. Determine s(p(x)).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60106225*g*v + 148370960*g with respect to v.\nAnswer: -60106225*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33783945.\nAnswer: 3, 5, 13, 13327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -492 + 1448\/3. Calculate the common denominator of b and -26\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(200)*-1)\/(sqrt(96)\/(2*sqrt(12))))\/((sqrt(405) - (2*sqrt(405) - sqrt(405))*-5) + -2*sqrt(405)*5) + 3)**2.\nAnswer: -4*sqrt(5)\/3 + 749\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.7 and -3263209.\nAnswer: -5547455.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5*(-1 + sqrt(7) + -3 - (sqrt(7) - sqrt(28)\/sqrt(4))*5) - (sqrt(14)\/(sqrt(8)\/(sqrt(4)*-3)) + 2)))**2.\nAnswer: -8800*sqrt(7) + 23300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4373760 * -88.\nAnswer: 384890880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9.368206 nanograms?\nAnswer: 0.009368206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 5:38 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17277, 96370, 228191, 412740, 650017?\n\"Answer: 26364*z**2 + z - 9088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109 - 103. Solve -x*p - 22 = 8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35948869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 1 + 8 - 5)*(2996*d - 942*d - 55*d).\nAnswer: -1999*d**2 + 7996*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 799 is divided by 154.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5876611l?\nAnswer: 587.6611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -14. What is the units digit of (-4)\/p - 14\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-7) - 18\/(-14). Let s be 74\/(-3)*6\/(-4). Suppose 0 = i - c - s. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4*(-2 + 1*(sqrt(343) - (sqrt(343) + 2 + sqrt(343) + sqrt(343))) + 1))**2.\nAnswer: 1344*sqrt(7) + 22093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {t: 8, x: 5, q: 5}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**2 + 108*j + 70. Let v be b(36). Let m(s) = -14*s**3 + 2*s**2 - 1. Calculate the remainder when (v - (-7 - -4))*1 is divided by m(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11693 less than 81842\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 945491379?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -1\/24, 2\/11, -0.2, 1?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2130, 1, -5, 2, 0.01 in ascending order.\nAnswer: -2130, -5, 0.01, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 12:29 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/5 and -8 + 9485\/686 - 5.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 219540345 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (274*j - 371 - 42*j + 372)*(-3*j + 7 - 7).\nAnswer: -696*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -1\/24, 0.5, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 323102 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 z when two letters picked without replacement from zzzhhhhzzz.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10360*g + 30 = -10355*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*u + 2 + 7 = 0, -3 = -p + 2*u. Solve n + p = 5*g, 0 = -3*g - 3*n + n - 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (2 + (-1 - -1)). Let p(s) = 3*s**2 - s + 1. Let q be p(v). Suppose -q*g = 2*y - 7, 0 = 4*g - 2 - 2. Solve y*n = -n + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 274 divided by 29320\nAnswer: 137\/14660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000292911635 rounded to seven decimal places?\nAnswer: 0.0002929","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2142289.8 months?\nAnswer: 17852.415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2\/8 - 31995*r\/2 - 63987\/2 = 0.\nAnswer: -42658, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*w + 30*w + 27 = 30*y - 8, 2*w = -2*y + 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d + 99*d = -28*d + 1469 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10, 41, 122, 277, 530, 905, 1426, 2117?\n\"Answer: 4*i**3 + i**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 - 50 = 12*c + 18. Does -18 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (5 + -8)*((-3440)\/12)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * -0.022\nAnswer: -0.00154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2547836.\nAnswer: 2, 43, 14813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 15*t - 1268. Let a be r(44). Sort -4, a, -2, 1.\nAnswer: a, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6664 divided by 28?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -36*d**4 - 331752*d**3 - 764190724*d**2 + 509571072*d - 84934656 = 0.\nAnswer: -4608, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 19*t**2 + 61*t - 1. Let r be z(15). Let d = 50 - 46. Solve -3*o = d*k + 17, 4 - r = 4*o - k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -1. Let a(b) = -b. Let r(z) = -z. Let p(k) = -6*a(k) + 5*r(k). Suppose -84*c = -73*c - 33. Calculate c*x(n) - p(n).\nAnswer: -n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Suppose -4 = -4*l - j. Suppose x - 2 + l = 0. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 + w**2 - 4*w**2. Let r(t) = -t**2 + 5*t - 3. Let m be r(3). Let j(d) = 6*d - m*d - 4*d. Determine i(j(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*t = -836 - 711 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 827547991 to the power of 1\/3, to the nearest integer?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/75*-2)\/((-1)\/(-170)) - (-1)\/(-5)\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.4, 5, 21 in increasing order.\nAnswer: -0.4, 1, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 4*k - 21 = -6*k + 24*y, -y = -5*k + 44 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 966772 + 18*d + 966601 - 1933373.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -8.1. Let a = 10.93 + -15.93. Which is bigger: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**6\/165 + 3*c**5\/110 - c**4\/66 - c**3\/11 + 2*c**2\/11 - c - 7. Suppose y(r) = 0. Calculate r.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 5*y + 7 = 0, -3*f + y = -9 - 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 178 + 39*i**2 + 23 + 150.\nAnswer: 39*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 547 = -30*b + 787 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 457434 and 17233560?\nAnswer: 10638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 6*p + 5. Let s = -27 - -16. Let m = 43 - 27. Let k = s + m. Determine n(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 118169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 + 13 - 12)*((-b**2 - 3*b**2 + 7*b**2)*(3 - 4 + 3) - 2*b**2 + 2*b**2 - 2*b**2 + (-b + 0*b - b)*(3*b - 3*b + b) + 3*b**2 + b**2 - 5*b**2).\nAnswer: -34*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, l: 13}. Give prob of picking 4 l.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 6 + 9*c**2 + 7 + (2 + c - 2)*(c - 5*c + 81*c) + 3*c - 3*c + c**2 as o*c + t*c**2 + w and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-6627)\/2209*-1*3\/(-33)*1\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*u + 2. Let g = -2 + u. Suppose -1472 = 34*f - 1608. Solve 0 = 4*r - f*j, g = 2*j - 6*j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-4*sqrt(351)*-2)\/(1*sqrt(1200)*3).\nAnswer: 8*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/3)\/(v*v**(-24)*v))\/((v\/(v\/(v*v\/(v**(-3)\/v))))\/(v\/v**(-25)*v)) assuming v is positive.\nAnswer: v**(128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -8. Suppose -2*i = 2*k - 8, -2*k - z = 4*i - 3*k. Let n(f) = 3929*f - 11876*f + 3985*f + 3963*f + 5. Calculate n(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -26.2. Let j = -0.2 + 0.3. Which is the closest to j? (a) g (b) 0.3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 0. Let l = f + -12. Let u = 191 + -195. Sort -0.3, u, l, -3.\nAnswer: u, -3, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52550.99945979 - -52551. Round h to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3347 is divided by 66?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 548 - 521. Solve 3 = q, -s = 3*c - 3*q - q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 91\/2 of a litre?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7455885?\nAnswer: 3, 5, 19, 26161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 50 + 286. Let w = 295 - m. Let a = w + -58. What is the remainder when a is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*s + 1550 = -20*s. What is the greatest common divisor of s and 403?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1\/3))\/(h**(3\/5)*h))**(-28) assuming h is positive.\nAnswer: h**(112\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12797.\nAnswer: 67, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73829724?\nAnswer: 2, 3, 23, 31, 8629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 5*s**2 + 5*s + 4. Let k be l(-4). Let w be (3 + k)\/((-1)\/(-1)). Let 6*q**w + 44 - 6*q**2 - 2*q**4 - 44 + 2*q = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, 27, 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -154*x**3 + 69*x**3 + 14*x**3 - 1 + 0 - 145*x**3 - 2*x**2 to p*x**3 + o + k*x + c*x**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -34.9.\nAnswer: 139.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -2\/113?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4044 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4778498340?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 8*q**2 + 7*q. Let v(p) = -p**3 - 10*p**2 - p - 3. Let f be v(-10). Let i be k(f). Suppose i = 5*t - 186 - 104. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 553513031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5)\/(j\/(j*j**2)))\/(j**(-2)*j*j**(1\/12)))\/((j\/j**5)\/(j*j**(-7)*j))**(-6) assuming j is positive.\nAnswer: j**(47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - 20. Let i = 34.99936 + s. Round i to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 - f - 1. Let r be y(-1). Suppose -2*i + 36 = r*i. Let k be -6*(-27)\/4*2. What is the greatest common divisor of k and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k - 4 + 4)*(14*k**3 - 36*k**2 + 22*k**2 - 1 + k**2) in the form g*k**3 + d*k**2 + x*k**4 + u + y*k and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 325691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**4 - 4*h**3\/3 + 8*h**2 + 16*h - 12. Let c(a) = 0. What is a?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 168104 by -2.\nAnswer: -84052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 51766 and 1376914.\nAnswer: 1428680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**3\/4 + 2169*g**2\/4 + 12825*g\/4 - 58077\/4 = 0 for g.\nAnswer: -717, -9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.076 and 7712.\nAnswer: -586.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(76)\/sqrt(16) + sqrt(19))*-5 + -6*(1 + sqrt(95)\/sqrt(5) + sqrt(19)))*-1)**2.\nAnswer: 234*sqrt(19) + 29043\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 5*j + 121 = -5*o, 4*o - 53*j - 12*j + 3039 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 928\/22 + 6\/(-33). Suppose -12 = -2*y + q. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-217106)\/(-22) - (-6)\/11 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**6\/420 - o**5\/42 - o**4\/21 + o**2. Factor c(w).\nAnswer: -2*w*(w + 1)*(w + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.2199713 - 3.22. What is h rounded to 6 dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 129\/5. Let c = 0.4 - 0.6. What is the second biggest value in a, 0.4, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1216) + 1*sqrt(1216) - sqrt(1216))*-1 + -6*(sqrt(19) + 1)*-1*3)**2.\nAnswer: 1512*sqrt(19) + 33840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o + 14. Suppose 20*c = -17*c + 629. Let h(z) = -z + 5. Give c*h(k) - 6*i(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 426852123 to the power of 1\/2, to the nearest integer?\nAnswer: 20660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 189045.5 litres?\nAnswer: 189045500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/7))\/(i\/i**(3\/8)))**(-11\/3) assuming i is positive.\nAnswer: i**(-143\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -3427.3.\nAnswer: 17136.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 4:42 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**3 - 14978*x**2\/5 - 8792986*x\/5 - 1757998\/5 = 0.\nAnswer: -451, -1\/5, 1949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5724985753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -29*l + 11. Determine a(3).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/2*(307 + -3) a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -8. Let l = 3 + s. Determine r, given that -6*r + 20 - 4*r**3 + 21*r**l - 11*r**3 - 20 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 18*j**2 + 43*j + 5. Let c be z(-15). Suppose -4*d - 2 = 38. Let k = d + c. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 o when two letters picked without replacement from psrxo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1394*s + 2788*s = 1392*s - 3*j - 17, -72 = -4*s + 15*s - 5*j for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5223 by 1741.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4119076 and 52.\nAnswer: 4119076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 387277 * 0.4\nAnswer: 154910.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**3 + 16*v + 30. Is g(-9) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-21)\/36)\/(3\/24)*-285. Let g = q - 695. Suppose 0*h + 4*x = 3*h - g, 5*h = x + 1064. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2323, 0.5, 130, -5\/19?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 10 - 2, -j = 2*z - 103796. What is z rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104 + 54. Let q = 81 + z. Suppose h - 20 = q. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -364*h + 21839. What is d(60)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -928? (a) -1\/7 (b) -2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329680779.\nAnswer: 3, 17, 6464329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 7:56 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (3 + -1 - 6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 6520662 and 6520664 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-1767)\/190 - -9)*14\/35)\/(6 - 7)\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*s = -1. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-144)\/1170*-26).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*z - 152*z = 4, 4*p + 5*z = 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -21. Let o(v) = -269 + 100 + 4*v + 97 + 94. Let f be o(c). Are -2 and f equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*u - u - 11*u + 15*u**2 as i*u**2 + c*u + a and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -130821.2322339 and -12.\nAnswer: -130833.2322339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 889056?\nAnswer: 889056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1131043 + -324240?\nAnswer: -2010333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 9 + 3. Let t = -44 - -55. Suppose 0 = -13*k + t*k - 4. Which is the third smallest value? (a) 1 (b) k (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 26 - -64?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -15. Suppose -8*b + 4*b + s = 0. What is the smallest common multiple of b and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/24 and (249\/(-45))\/(190\/(-25)).\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 131352146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-3\/7))\/s**(-3)*(s*s**(-2\/7)*s*s)**(-2\/27))\/((s*s**(-8))\/(s**(-2\/3)*s)*s**3\/(s\/((s*s**3*s*s)\/s))) assuming s is positive.\nAnswer: s**(100\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = 127*u - 140*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47728, 56884, 66036, 75184, 84328, 93468, 102604?\nAnswer: 111736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23570201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 99 + 7?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*j + 31 + 33 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 123902270 + -4?\nAnswer: 123902266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 478\/3*v**4 + 56*v**5 - 18 - 95*v + 97\/3*v**3 - 404\/3*v**2 = 0. What is v?\nAnswer: -9\/4, -2\/3, -1\/2, -3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1736901089.\nAnswer: 7, 11, 29, 111119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -53.\nAnswer: -53, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ocrcmfccfococrdrfofo. What is prob of picking 1 m, 1 d, and 2 f?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6037?\nAnswer: 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2 (b) 21 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-3*4 - sqrt(68))**2 - -2*(sqrt(68) + (sqrt(68)*-2)**2).\nAnswer: 4*sqrt(17) + 12036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 62*o - 2. Let r(f) = 12*f**2. What is a(r(w))?\nAnswer: 744*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-17)\/(-6) + 5\/30. Let m(f) = a*f**2 + 57*f - 3 - 2*f**2 - 57*f. Give m(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u - 1 + 1 + (1 - 4 + 2)*(95*u - 53*u + 104*u) - 1 + 2*u + 1 to the form j*u + v and give j.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minus -101946?\nAnswer: 101958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 5:34 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -23c?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*(5\/(-25) - (-1)\/((-25)\/120)). What is the closest to 3\/5 in 3, m, -3\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 567450 = -2788*q - 5942*q for q.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -777, -1552, -2325, -3096?\nAnswer: -3865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a - 3*a + a.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -151*d - 544*d**2 - 154*d - 219*d**2 + 4*d**4 + 306*d + 3*d**3 in the form y*d**4 + p + n*d**3 + b*d**2 + j*d and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -9 + 4*u - 10 + 3 + 4. What is the units digit of x(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**4\/2 + 5*o**3\/6 + 36087*o**2. Let t(y) = y - 1. Let b be t(5). Let p(l) = -6*l + 2. Give b*f(n) - 9*p(n).\nAnswer: 6*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.03647\nAnswer: -0.14588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 1 = -7. Let y = 9 - k. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -19, -1\/3, 4\/5, -14812, 0?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 2. Suppose 3*k - 3 = -3*q, 0*q + i = -2*q + 4*k. Solve q = 2*m - 0 - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -93*o - 254. Let j be x(-8). Let g = j - 475. Let a(u) = -u**3 + 16*u**2 - 16*u + 4. Give a(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -112 (c) -8\/111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 29 = -2*d. Suppose g - d - 1 = 0. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*t - 9 = 0, 2*t = 6*a - a - 1. Let q be (5\/10 - a)*0. Factor 0 - 2\/17*b**3 + 8\/17*b + q*b**2.\nAnswer: -2*b*(b - 2)*(b + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22014?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -11*i**4\/6 + 5*i**3\/2 - 19*i. What is the second derivative of j(y) wrt y?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 33718*h + 539400. What is f(-16)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8*f**3 + 2*f**2 - 6*f + 11. Let z(i) = 8*i**3 + 3*i**2 - 6*i + 14. Let m(b) = 3*g(b) - 2*z(b). Calculate m(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1456980 divided by 12?\nAnswer: -121415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2264?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**5\/9 + 254*q**4\/9 + 10316*q**3\/9 + 137360*q**2\/9 + 343616*q\/9 + 216320\/9 = 0. What is q?\nAnswer: -52, -20, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30895.8 - 30896. Which is the closest to -17\/3? (a) w (b) 3 (c) 5 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1108.12699 - 2.34301. Let j = 1104 + q. Let y = 0.63 - j. What is y rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6311*m**2 + 49*m**3 + 6311*m**2.\nAnswer: 49*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*t + 40597 - 40799 - t in the form l + a*t and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - -0.4. Let s = 0.0235195 - -13.9764805. What is the nearest to 0 in g, s, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -0*z - 60. Let c = 9 - z. Let i be (14\/(-147))\/(2\/c). What is the closest to 2 in 2\/9, i, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 2:46 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1207*z**2 + 39*z - 68. What is t(1)?\nAnswer: 1178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*p - p**3 - 24*p + 9*p.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + -3. Let i = -3 - q. Suppose -3*s = 5*y - 10*y + 49, 0 = -s - 3. Solve -y = -i*f + 5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*14*17\/(-238).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/8 + 9*b\/4 - 15\/8.\nAnswer: -3*(b - 5)*(b - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + 2*t - 2, 0 = -11*g + 4*g - 6*g + 13*g - t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.631 - 7.628. Let d = k + -0.003. Put 3, -0.3, d, -1\/3 in descending order.\nAnswer: 3, -0.3, -1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -313 + 808. What is the common denominator of (-2)\/10 + d\/(-50)*-3 and 75\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4952*l**2 - 2752. Let g(z) = 12378*z**2 - 6879. Let a(o) = -12*f(o) + 5*g(o). What is the first derivative of a(n) wrt n?\nAnswer: 4932*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/14)\/((-242)\/77 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - -17 - (-5 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (324*m**5 - 1499*m**5 + 2*m**4 - 1288*m**5)*(2 - 1 + 1).\nAnswer: -4926*m**5 + 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.022053 rounded to two dps?\nAnswer: -16.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.68*1.03583\nAnswer: 0.7043644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**5\/4 - 3*r**4\/2 - 6729*r**3\/4 - 13248*r**2 - 34533*r - 29484 = 0.\nAnswer: -42, -3, -2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -7*x + 2. Let k(y) = 13*y - 3. What is 6*k(u) + 11*z(u)?\nAnswer: u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 427.55175 to the nearest ten.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/676 and 64\/65.\nAnswer: 3380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 9.6, -1\/6, -16.7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-2)*(-4)\/(-8)*-7892 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-925)\/222)\/25)\/((-15)\/(-63))?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1dcd4e5 - -8?\nAnswer: 1dcd4ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36095 and 1?\nAnswer: -36095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*d*r - 463*d*x + 171*r**4 + r*x wrt r.\nAnswer: -18*d + 684*r**3 + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from gtjdjd?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 100 = 5*r, 1760*q - 1755*q - 3*r = 72 + 38 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11538, 25780, 49516, 82746, 125470?\n\"Answer: 4747*p**2 + p + 6790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.95272 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 23910?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3784 - 2253*n**4 - 2611 + 2253 - 1463*n**4 wrt n?\nAnswer: -14864*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7364?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11442 = 23*j - 7326. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**4 + j**5 + 3*j**4)*(-1 + 4 - 2) + 0*j + 3*j**5 + 0*j + (-2*j**2 + j - j)*(3*j**3 + 2*j**3 - 3*j**3) - 13*j**5 + 3*j**5 - 3*j**5.\nAnswer: -13*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1575 and 9273225?\nAnswer: 194737725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*q**3 - 3 - 84*q**3 + 2 + 75*q**3.\nAnswer: -103*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 978546151 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 4*r - 1. Let k be g(3). Is -3 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**6\/9 + 28*y**5\/15 - 46*y**4\/3 + 44*y**3\/3 + 57*y**2 - 3358. Determine n so that a(n) = 0.\nAnswer: -19, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/8 + 1135\/20. Let z = o + -29. Let q = -16 + z. Calculate the remainder when 22 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-1) - 3) + 50\/(-385)*11?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 0 + (64 - 64)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/21 - (-2)\/(-7). Suppose n = 2*d + 4 - 12. Let t = d - 1. Solve t + 2 = -5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*u - 4. Suppose 3*i + 2*p = 44, -i + 10 = -p + u. What is the highest common divisor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 406\/(-2)*((-18252)\/234)\/546\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 65 = 2*l - 4*j, -41 = -l + 3*j. Let u = l - 50. Let r(a) = 2*a - 11. Let q(w) = w - 5. Determine u*r(d) - 7*q(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/17 (b) 0.4 (c) 5 (d) -2 (e) -3488\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 19. Find the first derivative of -f + 7*f - l + f + f wrt f.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1f25 (base 16) to base 7.\nAnswer: -32150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -666*o + 1751 = 14365 + 2202 + 1834 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is adb291 + d?\nAnswer: adb2a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**3 - 2*l**3 + 9*l - 6*l - 6*l.\nAnswer: 4*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8052396614 to the nearest integer?\nAnswer: 2004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**4\/4 + 2*g**3\/3 + g**2\/2 - 2*g + 2. Let v be z(1). Solve 4*u + u - 4*f = 12, 3*u - f - 3 = v for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yrx. Give prob of sequence xy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**4\/4 + 2*c**3\/3 + 3*c**2 - 3*c - 2. Suppose -240 = -82*x + 88. Calculate u(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3. Let w = -747 - -750. Let u be 1 + -1 + (-52)\/(-13). Let b(z) = -z**2 + 4. What is u*a(t) + w*b(t)?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 3:00 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 290.552664056 + -6688.050664066. Let t = x - -6397.448. Let p = -0.05 - t. What is p rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 + 5*z - 5. Let h be g(3). Let w be (h\/42)\/(2\/66). Let t = w + -14. Calculate the greatest common factor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-159)\/28*122 + (-60)\/(-210))*-2 is divided by 154?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446960 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**2\/7 + 4288*l\/7 + 17088\/7 = 0. What is l?\nAnswer: -1068, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-6)*(-16)\/(-18). Suppose 19*d - 15*d = 12. Determine u so that -2\/3*u + 2\/9*u**d + s + 0*u**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2\/5*f**5 + 0 - f**4 - 1\/5*f**2 + 0*f - 4\/5*f**3 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1239990 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4))**(-1\/4) assuming y is positive.\nAnswer: y**(-1\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 107*h**2 - 283*h + 2. What is p(3)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**4\/3 + 5*t**3\/3 - 2*t**2\/3 - 8*t\/3 = 0.\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 56070 = 12*a - 3*n, 2*a - 4*n - 22428 = 0. Is a a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1724?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 11*u + 15. Let l(y) = 5*y + 7. Let h(f) = 13*l(f) - 6*s(f). Let c(d) = 4*d - 3. What is -c(t) - 5*h(t)?\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -644.5 - -216. Let v = 339 + t. Round v to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 1. Is 11 a factor of n\/((-10)\/(-11) + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 53 = -f. Let g = -10 + f. List the prime factors of g.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14116 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -0.2, -143\/2, 2\/3, -4?\nAnswer: -143\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10360747*b**4 + 33*b**2 + 59533*b.\nAnswer: 248657928*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -892 or -888?\nAnswer: -888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47438 - 31046. Does 231 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 7*w + 2. Suppose d + 27 = -5*a, 0 = 3*a + 4*d - 0*d + 6. Let n be v(a). Let k = n + 19. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100.18419 months to years.\nAnswer: 8.3486825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3)*(5*u + 0*u - 2*u + 4*u - u - 5*u + (1 - 4 + 1)*(-u + 0*u + 3*u) - 2 + 2 + 2*u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -7. Suppose -9 = -4*s + i + 10, 2*s = -x*i + 37. Is 11 a factor of 1\/(-3) - (-68)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**5\/9 + 1028*d**4\/9 - 23944*d**3\/9 + 168568*d**2\/9 - 33180*d - 54684 = 0. What is d?\nAnswer: -279, -1, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, v: 7}. What is prob of picking 1 g and 3 v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89 + 94.9. Let m = o - 6. Let l be 10\/12 + 1\/(-3). Is m bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 6*k + 8. Calculate the remainder when g(-5) is divided by -36*(3\/18)\/((-2)\/6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 61, 36, 11, -14, -39?\n\"Answer: -25*v + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 176 - 48 = 0. Let u be a - 15\/(10\/(-2)). Suppose -5*g + 30 = 3*k - 2*g, 3*k - 2*g = 50. Calculate the greatest common factor of k and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.76 - 0.2. Let u = n + -0.04. Let d = 7.5 + u. What is the closest to 1\/2 in 2, -0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 + 4*q**2 + 112*q - 104*q)*(12 + 16 - 26 - 12*q + (0 + 1 + 1)*(q + 0*q + 0*q)).\nAnswer: -70*q**3 - 66*q**2 + 16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 254*j + 14. Let h(l) = -761*l - 40. Determine -8*d(y) - 3*h(y).\nAnswer: 251*y + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 145245 (base 11) to base 12\nAnswer: ab141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 23, 4 in decreasing order.\nAnswer: 23, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 4:19 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 22.0488?\nAnswer: -2.20488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-14 - -5) - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 5:54 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 20097.485?\nAnswer: -20098.485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/30 and -101\/82248?\nAnswer: 411240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/1375 and 28\/45.\nAnswer: 12375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 2984 - 2987 = -5*b, 2*l - 3 = -3*b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 220\/(-88)*3\/(3\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 223*y + 219*y - 32131 = 0, 160802 = 5*b + y. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89133 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 10 - 8)*(-8*s + 3*s - 8*s).\nAnswer: 78*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -13*o**3\/6 - 2*o + 45. Suppose r + 9 = 2*a, -a + 2*r = 7*r + 23. Let p(y) = -3*y**2 + y**a + y**2. Calculate m(p(t)).\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 12:30 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (21\/12)\/((-2)\/8). Let u be 14\/21 + z\/(-3). Solve -u = -0*d + d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 575.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2488960 is divided by 1281?\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/34632 and -61\/277056?\nAnswer: 277056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16725174 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*a - 547 = 1167 - 65 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*(sqrt(7) + sqrt(7) + (-1*sqrt(7))**2 - sqrt(7))*4 + -2 + (sqrt(112)\/sqrt(4))**2 + 0.\nAnswer: -114 - 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4 + 6*(sqrt(245) + 2*sqrt(245)) + -4 + sqrt(245) + 4 + 3)**2.\nAnswer: 1862*sqrt(5) + 88493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1\/5 (b) 1 (c) 1\/3 (d) 64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -123*v - 328. Let c(j) = 57*j + 163. Calculate -13*c(w) - 6*u(w).\nAnswer: -3*w - 151","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 11. Let d(y) be the second derivative of 5*y**4\/6 + y**3\/3 - y**2 + 2*y. Calculate the remainder when d(-2) is divided by b(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 20993*p - 524883. Determine k(25).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63445879?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/192801 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.570823s in hours?\nAnswer: 0.0207141175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**2\/5 + 111*p\/5 = 0.\nAnswer: 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-70))\/(1\/5). Let z = -1 + 7. Suppose 2*c - 4 = z*c, -3*a + 2*c = -8. What is the closest to 1 in 5, m, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/46944 and -25\/5379.\nAnswer: 516384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 - 15*c**2 - 11*c + 11. Calculate p(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - s = 0, 3*s + 23 = 3*z - s. Let i be -1*z*1*(24 + -18). Let w be i\/5*425\/(-51). What is the highest common divisor of 80 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27*c**3 - 47 + 36 + 38 wrt c?\nAnswer: 81*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.18 + 8.82. Let d = -13 + g. Which is the third biggest value? (a) d (b) -1\/4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11895 and 1235?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085.18643us in days?\nAnswer: 0.000000012560028125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.61 and 0.4.\nAnswer: -1.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 54503 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 81. Calculate the remainder when h(0) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -81*d + 2335. What is r(23)?\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from eeeeeeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooooofooooo. What is prob of picking 1 f and 1 o?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 416711*r + 7.\nAnswer: -416711*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*m - 27*m - 20*m - 52*m - 19*m.\nAnswer: 48*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 478\/5 + -95. Put g, 0.1, -1\/9 in descending order.\nAnswer: g, 0.1, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/240 and 73\/120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*i - 24. Is 69\/i - (-6)\/(-4) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/(-10))\/((-2)\/(-5)). Suppose 3*v = 2*u - 40, -4*u - m*v + 52 = -3*v. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 414. Let l(x) = -83. Give 11*l(f) + 2*u(f).\nAnswer: -2*f - 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03718 - -0.4.\nAnswer: 0.36282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*z = -n + 7, -2*z = -2*n + 2. Solve 0 = j - b - 0*b + 3, n*b - 20 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -12*o**5 + 80*o**4 - 140*o**3 + 40*o**2 + 32*o = 0?\nAnswer: -1\/3, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31123 (base 4) to base 9.\nAnswer: 1154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 65*h**2 - 445*h - 2212. Calculate o(-58).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 833.\nAnswer: 7497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22579, -85683, -190857, -338101, -527415, -758799, -1032253?\nAnswer: -1347777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 75*r**2 + 5*r - 6. Determine a(1).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1164, -994, -822, -648?\n\"Answer: t**2 + 167*t - 1332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 4264919?\nAnswer: -8529838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-148)\/(-68) - (-63 - -67). What is the third smallest value in 5, r, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4723 - 0.0477. Round v to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 265\/20 + 6\/8. Let s(w) = w**2 + w - 2. Let h be s(-3). Let z = g + h. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.1 + 2.9. What is the nearest to -1\/4 in -1, a, 1\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*b**3 - 59*b**3 + 94*b**3.\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 11 = -j, 3*s = -4*j - 9 - 7. Is j != 1\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*h - 4*h - 2, -5*f = -4*h - 6. Let u be ((-8)\/10)\/((-2)\/80). Let l be 2\/6 + u\/48. Solve f*i + 2 = -x, i + 0 = -2*x - l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + -2 - 210\/7. Let p = j - -37. Calculate the remainder when 59 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 12:13 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**3 - 101*q - 4249 + 8473 - 142*q - 4224.\nAnswer: 4*q**3 - 243*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1991 is divided by 54.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12 - 1 - (-156 + 167)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**3\/4 + 9857*f**2\/4 + 6049050*f - 115823259 = 0.\nAnswer: -4938, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500151 is divided by 93.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zccc when four letters picked without replacement from {z: 2, c: 16}.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4131.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 5*t**2 + 2*t + 12. Let q be c(-5). Let h(u) = 12 - 208*u**q + 45*u - 24 + 9. Let l be h(23). Round l to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312704\/8376*(-60)\/35.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -220525*k**4 + 4*k**2 - 5*k + 3 wrt k.\nAnswer: -5292600*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -9, -4, 3, 12, 23?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 118049419.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -310183*p + 281. Suppose 0 = 26*w - 124 - 58. Let l be o(w). What is l rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -968.8 + 81.6\nAnswer: -887.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*t - 115*t + 2543 + 4127 = 0. Solve t - 22 = -8*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3331 + 6158. Suppose 12*s - l = 11*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c**2 - c + 1. Let d(a) = 20*a**2 - 4*a + 3. Let s be (3 - -2) + (9 - 8). Let t(j) = s*d(j) - 17*z(j). Determine t(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -95*o - 8848. What is u(-93)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 6*c**2 + 7*c + 5. Let p be k(-8). Let u = 83 - p. Suppose u*v + 4*v - 10 = 0. Solve 0*h + h = v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -3\/5 (c) -1.77436\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -12, 247, -3 in descending order.\nAnswer: 247, 3, -3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -5. Let o = 0 + -3. Let g be ((-2)\/o)\/(4\/(-6)). Is f smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1768.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/20 and -55\/914?\nAnswer: 9140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4 - 8. Suppose 5*i = z*b - 284, 0*i - 84 = -b - i. Is (-1)\/(-3 + b\/30) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6456 - 19099\/3. Let h = n + -86. Find the common denominator of h and 71\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -47*g**3*t**2 - 12*g**3 + 2*g**2*t**2 wrt t?\nAnswer: -94*g**3*t + 4*g**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 9, 30, 57, 90, 129, 174?\nAnswer: 225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2 + -4 + -7 + 4 - -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26115743 not equal to 26115741?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 17*g**2 + 3*g - 1. Let o be m(-3). Let l = o + -93. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13763409 divided by 1251219\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooooooo. What is prob of sequence ooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tr when two letters picked without replacement from {l: 1, f: 1, b: 1, r: 1, t: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 27*z + 1. Is s(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*z + 1359 = 1489 - 1327 for z.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 3:49 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 753 + -228. Let r = -129 + k. Is r a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (26\/(-210))\/(2\/(-6)). Let d = -4\/7 + i. Let q = -95 - -761\/8. What is the closest to 1 in 0, q, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 22*r + 61. Let x be f(19). Solve 0 = -n + x*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 - 43*f + 43*f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38 (base 14) to base 2.\nAnswer: -110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -2*w**3 + 0*w**4 + 0*w + 9*w**2 + 0*w**5 - 1\/8*w**6 + 0. What is the first derivative of v(o) wrt o?\nAnswer: -45*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 1067 = -m, -4*m + 4268 = -4*h + 2*h. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68000 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 r when three letters picked without replacement from {w: 7, r: 3, j: 8}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70.679987099 + -70.68. Round d to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1020 = -4*h - 3*b, 0*h - h = 5*b - 255. What is the greatest common divisor of h and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -98 + 110.4. Let d = -14 + j. Let z = -1.6 - d. Put 0.5, 0.3, z in ascending order.\nAnswer: z, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 2:09 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 121 = m, 3*a + 98 = 4*m - 301. What is the smallest common multiple of 20 and (m\/20)\/((-6)\/(-45))?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1112551 is divided by 9271.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 10, -392, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 36*d**3 + 7*d**2 - 3*d. Let b be u(3). Let w(t) = b - 1026 - 3*t. Let r(v) = -8*v**2 - 5. What is w(r(p))?\nAnswer: 24*p**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*t + 70 = -5*t, -q = -4*t - 28. Suppose 4*o = 3*o + q. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 5*b**2 + 4*b + 3. Let h be i(4). Find the third derivative of 3*o**5 - 8 + 8 - h*o**2 wrt o.\nAnswer: 180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8043.1924 - -49.\nAnswer: -7994.1924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/11)\/v)**21)**39\/((v**0)**(-1\/5)\/(v*v**(-2\/7)*v)**(2\/7)) assuming v is positive.\nAnswer: v**(-79998\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15585438 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*s**3 - 31*s**3 - 44*s**3 + 115*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 1\/15*v**6 + 0 + 1\/2*v**4 + 0*v**3 - 25*v - 2\/5*v**5 + 0*v**2. Factor z(o).\nAnswer: 2*o**2*(o - 3)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 8*y**5\/45 - 7*y**4\/18 - 4*y**3\/27 + 15. Determine d so that q(d) = 0.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*m + 165*m - 568*m + 165*m + 73*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 421 - 417. Find c, given that 3\/2*c**5 + 0*c**q + 0 + 0*c - 7\/6*c**3 - 1\/3*c**2 = 0.\nAnswer: -2\/3, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g - 18. Let r be s(8). Let v(i) = i**3 + 12 + 6*i**2 - r*i + 13 - 22. Is v(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - -6. Calculate the lowest common multiple of 22 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1\/3))**50*q\/q**(6\/5)*q\/(q**(-8)\/q) assuming q is positive.\nAnswer: q**(1147\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 276866 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 20*v. Let m(p) = p. Give 8*m(f) - n(f).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, -0.5, -5, -3\/7 in ascending order.\nAnswer: -5, -0.5, -3\/7, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**4\/4 + 2*q**3 - 15*q**2\/2 + 3*q + 1187. Calculate y(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -19*m**3 + m + 1. List the prime factors of s(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.946 * 0.1452.\nAnswer: -0.1373592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2*(-25)\/((-25)\/(-2)). Let y = 71 - 45. Let v = 26.5 - y. Which is the closest to p? (a) 2\/5 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6*y**2 + 34*y + 16. Let g be a(6). What is the second derivative of -38 + 20*j - 75*j**4 + 39 + 5*j**g - 50*j**4 wrt j?\nAnswer: -1440*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -24?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (-4031)\/(-290) - (-40)\/25?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.76, -16, -1\/7, 892, -0.3?\nAnswer: 0.76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1499, 1501, 1503, 1505, 1507?\n\"Answer: 2*l + 1497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(18) - -6*(sqrt(18) - sqrt(54)\/sqrt(3)))*3 - (3 + 0 + 2*sqrt(2) + -2))**2.\nAnswer: -56*sqrt(2) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15 - -3504.\nAnswer: 3504.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 53, 222, 391, 560, 729, 898?\n\"Answer: 169*d - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: bb42 (base 14) to base 12\nAnswer: 168ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -20*c - 27. What is the tens digit of t(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 1. Suppose 2*k + 3*k = 3*m - 67, 2*k + m = -29. Let o be s(k). Let i(u) = 3*u + 30. Calculate the remainder when i(o) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - x - 9 + 47, -l - 4*x + 33 = 0. Suppose -h + 15 - 2 = -2*w, -3*h - 2*w + 7 = 0. Let j = h - 0. Solve -8 = j*n + l for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (3 + (-4 - 2) + -8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-6*sqrt(68)\/sqrt(4)*3)**2 + -1.\nAnswer: 5511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.9602 - 0.9602. Let g = -2 + 1. Let y = 0.99 + g. What is the third biggest value in 2, w, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 39, -52, 2 in decreasing order.\nAnswer: 39, 2, 0, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 11*v**2 - 10*v - 2. Let n = -1 - -11. Let i be h(n). What is the units digit of (-342)\/(-4) - i\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-212)\/(4\/4 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560113 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22818826 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 1. Let i(x) be the second derivative of x**4\/3 - x**3\/6 - 3*x**2 + 17*x + 1. What is 3*a(q) - i(q)?\nAnswer: -q**2 + q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l\/(l**(-3\/8)*l))*(l\/l**4)\/l)\/((l*(l**(-1\/13)\/l)\/l)\/(l**0\/l)))**(-46) assuming l is positive.\nAnswer: l**(5497\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7469 (base 11) in base 6?\nAnswer: -113420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v. Let u(d) = -2*d + 1. Let p be u(3). Let b = p - -5. Let o(q) = 3*q - 3*q + b*q**2 + 4*q**2. Calculate r(o(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 32*y**2 + 22*y**2 - 11*y**3 - 177*y - 4*y**3 + 38*y**2. Differentiate a(o) with respect to o.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5092 and 73378?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5851, -5849, -5847, -5845, -5843, -5841?\nAnswer: -5839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 2*u - 40 - 20 + 80.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7685 plus 11.6?\nAnswer: 7696.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 46123?\nAnswer: 46124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2 = 14. Let n = i - 0. Suppose 6 - n*m**3 - 3*m**2 - 6 = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d + 0 - 4 + 1 + 2. Let n be 4\/(-5) - (-459)\/(-45). Let l(u) = 15*u - 2. Calculate n*i(r) + 6*l(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12775439989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1816)\/138320 + ((-116)\/(-56) - 2) and -191\/780?\nAnswer: 14820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 12*r**3 - 553*r**2 + 49*r - 138. Let c be g(46). Solve -4*v + c*a = 3*a + 21, -2*a = 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, 135, 3, -1\/2?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*o = 3*o + 42, 167 = 4*s + 5*o. Suppose 5*h = 2*v - s, h + 47 = 2*v - 0*h. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3572870 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1111 (base 2) to base 16\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -12432.7 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/5 or 4?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x. Let j(k) = 2*k + 26. Let g be j(-11). Give c(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261314 is divided by 199.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 663892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/177510 and 47\/2687676?\nAnswer: 819741180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 6134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/3, 0, 17, -164?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 9:42 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o**(17\/4)*o*o))\/(o**(-20)\/o)*o**(7\/5)\/(o\/o**(-38)) assuming o is positive.\nAnswer: o**(-417\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.163+0.8\nAnswer: 0.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-15)*15\/54.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*a - 21*a + 0*a - 6*a)*(-1 - 3 - 2).\nAnswer: 276*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -41, 5, -1 in ascending order.\nAnswer: -41, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**3 - 31*h**2 + 18*h + 83. Give u(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 6*m**2 + 4*m + 7. Let a be w(5). Suppose -a + 0 = h. Let k be 1\/((-1)\/h) + -2. Solve -4*y = -3*q - 5, 3*y + k*q = -3*q - 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111201 + 10?\nAnswer: -111131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 1:14 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -12*z. Let n(v) = -1240*v. Give -n(j) + 4*u(j).\nAnswer: 1192*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/156 and 17\/527254?\nAnswer: 3163524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -382 + 1053. Is o != 671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8080178.628 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 7:41 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -50*v**4 + 2050*v**3 - 817*v**2 + 92*v + 15. Let i(y) = -25*y**4 + 1023*y**3 - 408*y**2 + 47*y + 9. Let x(j) = -3*f(j) + 5*i(j). Factor x(m).\nAnswer: m*(m - 41)*(5*m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 2\/7 (c) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 122. Let l = z - 9. Let r = -22 + l. What is the highest common divisor of 13 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(22)\/sqrt(11)))\/(sqrt(36)\/(sqrt(60)\/sqrt(5)) + sqrt(3)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 5, -9*b + 7*b = 2*j + 24. Which is smaller: -14 or j?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/((-19456)\/(-80)))\/(4\/((-224)\/(-70))).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h + 3. Let b be (9 - (5 + -3)) + 1. Let w = -15 + b. Let m(c) = -2*c - 3. Let a(r) = w*k(r) - 6*m(r). Differentiate a(l) with respect to l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/25)\/(y**(2\/5)\/y)*y\/(y*y**(-2\/15))*y*y\/((y*y\/y**(-1\/4))\/y) assuming y is positive.\nAnswer: y**(469\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2950 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10761 * 5.\nAnswer: -53805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 157 + -132. Calculate the highest common divisor of 10 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8706158, 34824622, 78355390, 139298462, 217653838, 313421518, 426601502?\nAnswer: 557193790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13289 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 highest common factor of 4959 and 684.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 7*u**2\/2 + 1667. Let n(z) = -2*z**2 + 71. What is n(q(b))?\nAnswer: -98*b**2 + 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 182728 by -4.\nAnswer: -45682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 341820?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, 2\/9, -423.9, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 12) in base 9?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 110*n + 111*n = 3, 3*a - 16*n = -19 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2816 divided by -704?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f = 10*f - 26*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 3669*c - 3673*c + 76, -81 = -5*z - 4*c for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 258923931 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 126 - 86 + 6*q**3 + 7*q**3 + 210 + 75*q - 14*q**3.\nAnswer: -(q - 10)*(q + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*((u\/u**(-5)*u)\/u)\/u)*u)\/u)\/u*u*u**7)\/(u\/(u**(-6)*u)*u*u\/u**(1\/14)) assuming u is positive.\nAnswer: u**(-83\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*f + 2009 = -163*f - 52*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1977, 7757, 17395, 30885, 48221, 69397?\nAnswer: 94407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15938 is divided by 5309.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-212)\/(-4) + -43 + 21\/(-2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**10\/15120 - b**8\/3360 - 7*b**4\/12 - 2*b. Let w(q) be the third derivative of u(q). Factor w(r).\nAnswer: 2*r**3*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 12*m**2 + 4 - 2 + 11*m + 9. Let i(f) = -3*f + 22. Let u be i(11). Does 11 divide y(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 193\/3 + -65. Sort -2, g, -0.01 in decreasing order.\nAnswer: -0.01, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 13653 - 130361 = -4*c, -3*c + 108038 = 4*u. Is c a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4624, -9044, -13508, -18022, -22592, -27224?\n\"Answer: -j**3 - 16*j**2 - 4365*j - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 + 6*k. Let d(v) = -v**3 + 5*v**2 + 13*v. Suppose 31 - 46 = 3*y. What is y*x(l) + 2*d(l)?\nAnswer: -2*l**3 - 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*(l**10*l)\/l)*l**(1\/7)*l*l)\/(l**(-1\/10)*l**(4\/13)))**(-3\/4) assuming l is positive.\nAnswer: l**(22017\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 9:21 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 less than 0.22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 80*c**2 + 18175*c + 3405 = 0.\nAnswer: -227, -3\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69 - 67. Let y(s) be the first derivative of -1\/12*s**2 - 1\/18*s**3 + 1\/24*s**4 + 1\/6*s - f. Let y(w) = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(7)*2 - sqrt(7)) + sqrt(7)) + sqrt(35)\/sqrt(45))**2*-4.\nAnswer: -26908\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -14. Let i = -54 + 59. Suppose 5 = 10*h - i. Which is the closest to 1\/4? (a) -0.2 (b) r (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 58, 20, -28, -92, -178?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00604525 take away -0.38356?\nAnswer: 0.38960525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -482012735.6 rounded to the nearest 1000000?\nAnswer: -482000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -379c + -435?\nAnswer: -3bd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4515*a - 8889*a + 5054*a - 19668*a - 17306*a.\nAnswer: -36294*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10544 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6042)\/(-265))\/(-19)*(-15)\/(-7))\/(1\/21).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6*c. Let v = 16 - 16. Let k(x) = 7*x**2 - 6*x**2 + v*x**2. Calculate y(k(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 47c - -45a?\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 29. Let u be s(-23). Is 58\/11 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -54247\/10 and -5425 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - b = 28, 1321*b - 35 = -4*f + 1326*b. Solve -37 = -0*v + 4*v - f*y, -4*v - y = 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18324\/31969 - -8\/4567. Let x = -0.2 - 0. Which is the second biggest value? (a) v (b) 2\/15 (c) 1\/2 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 6.8?\nAnswer: -2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90307.67m to micrometers.\nAnswer: 90307670000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0872 + -40.0128. Let j = s - -40.10472. What is j rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40970 by 8194.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1160 - -1763. What is the highest common divisor of p and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 3*m = 2, -2*m - 375 = -379 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 50503430 (base 6) to base 14\nAnswer: 2967a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1872)\/10*35505\/(-63909)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*w - 5, w = 3*w. Suppose 0 = -4*z - z + 25. Let h = z - n. Solve 2*f - 3*j + 4 = h, 5*j + 0 = 3*f + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -362*v**3 + 3*v**2 - 32*v - 10. Let t(k) = -2*k**3 + k**2 - 2*k - 2. Let n(b) = d(b) - 5*t(b). Find the third derivative of n(o) wrt o.\nAnswer: -2112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1593 and 108?\nAnswer: 6372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12279020?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 1\/5*m**4 + 0*m + 0 - 1\/5*m**5 + 4\/5*m**3 - 4\/5*m**2 = 0?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 - -62. Find o such that -6*o**4 - 4*o + 83*o**3 + 6*o**2 + 2*o**5 + 80*o**3 + r*o**5 - 161*o**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -130 - -79. Let d = o + 4. What are the prime factors of (d - -4)\/((-2)\/2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*f - 301 = 81*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 14, 5, -1, -51, 8791 in descending order.\nAnswer: 8791, 14, 5, 1, -1, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -18*s. Let c(i) = 4*i**2 - 3. Calculate c(l(u)).\nAnswer: 1296*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12989d4 (base 14) to base 2.\nAnswer: 100010001111000111101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 109.077 in -2, 2\/75, -0.4?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 330 = -3*h + l, 0*l - 3*l - 677 + 668 = 0 for h.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p = 6*p - 2*u + 10, 2*p - 6 = 2*u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.048 + 0.182. Round x to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*q**3 + 2*q + 376 wrt q.\nAnswer: -9*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39 + 1831*u + 125 - 613*u - 884 + 397*u wrt u.\nAnswer: 1615","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29469 + 50071. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.041 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154925 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - -7)*((-168)\/(-9))\/(-8). Let y = f + 19. Sort y, -23, 3 in increasing order.\nAnswer: -23, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -168552 by 1.\nAnswer: -168552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -0.3, 1\/5, -21, 14, -0.1 in descending order.\nAnswer: 14, 3\/2, 1\/5, -0.1, -0.3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -121 by 366.\nAnswer: -121\/366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from {d: 1, e: 4, q: 9}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 1292 = 1306 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 822136037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 1\/4 (c) -185266\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from hhhhhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*x + 6*a + 2, -2*a + 10 = 0. Calculate the remainder when 17 is divided by x\/18 - 237\/(-27).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1620) - ((sqrt(1620) - sqrt(1620)*1) + sqrt(1620)))*4)\/(4*sqrt(9)*5*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 3 (c) -341.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1589151 is divided by 167.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 23. What is the units digit of -2 + 1\/n*-63?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -14 - 7*j + j**2 - 8*j + 0*j**2 - 2*j**2. Let w be o(-14). Suppose 0 = -5*g - 0*g - 5. Are w and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10782, 10801, 10820, 10839, 10858, 10877?\nAnswer: 10896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*u - 165*u = 181*u + 56 - 766 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/14 and 145\/(-40) + -2 + 3.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 256881044?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*d - 2604, -4*u + 3*d + 5906 = 683. Suppose c - 244 = -4*q, 4*c = -c + 2*q + u. What are the prime factors of c?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -190 - -331. Is c a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, p: 2, e: 1, h: 2}. What is prob of picking 2 p and 1 e?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2565 - -2565.5772. Let f = w - 232.6772. What is f rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13186\/13 - -599818\/585. Let f = -54\/5 + n. Solve 0 - f*l**2 + 0*l + 2\/9*l**3 = 0 for l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i - 1 + 1 + (-3 - 6 - 12)*(2*i - 4*i - 5*i) - i + 0 + 0 to the form n + l*i and give l.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 3*r = 70. Solve -2*p = 5*j - 0 + 2, 0 = -r*j - 4*p + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 + 5 + 4 - 5 + 1 to the form i*l**2 + u*l + z and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -136 + (-48 - -195 - 77)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/40 and 6\/(-54)*3 + (-199)\/(-30).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -516 - -268. Let i = -175 - z. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 573, 576, 581, 588, 597, 608?\n\"Answer: g**2 + 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 4*x - 79*x**2 + 3*x + 3*x**4 - 896988*x**3 - 5*x**4 + 896990*x**3 - x as y + r*x + q*x**2 + z*x**4 + u*x**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 + 15 - (9 + -57)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 7*x - 4. Give i(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 10 = -h - 2*h, -4*p = -4*h - 20. Let z(v) = -13*v + 3. Is z(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 0. Let n(c) = -c**3 + 34*c**2 + 73*c - 2. Let i be n(36). Let k be 3 - -1*i\/(-10). Sort k, x, 3 in ascending order.\nAnswer: k, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2 - (-5)\/2. Let y be o + (-1)\/1*-2. Suppose y*t = -5*f + 20, -2*t + 8 = -2*f - 0*t. Round f to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -37 + 1 - (13 + (-15 - 5)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 10*x**3 + 2*x**2 - x. Suppose 0 = -2*w + 5*u - 3, 3*u - 3 = -3*w + 3. Let t be b(w). Let q(k) = 2*k. What are the prime factors of q(t)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 2*l, 0*b - 2*l + 16 = b. Let z be (2 - -1) + 0\/1. Solve 2*d - 7*d = b*s - 4, 3*s - z = d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 146 - 91. Suppose 4*n - 49 = -3*g, -4*n + g + t = -2*g. Calculate the greatest common divisor of 65 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, 5, -5, 3, 0, -2, 130 in decreasing order.\nAnswer: 130, 51, 5, 3, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 1601*f + 2. Let k(l) = -580*l. Give g(k(x)).\nAnswer: -928580*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2307728.7 seconds in hours?\nAnswer: 641.03575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 3*r - 120. Calculate the remainder when r is divided by (-44)\/(-6)*3\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 478*g**2 + 5*g - 2. Is p(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.078539301 to four dps.\nAnswer: 0.0785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7444449?\nAnswer: 3, 827161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqoqqqqolqqqqo. What is prob of sequence oqq?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1973 or -0.102?\nAnswer: -0.102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**7\/840 - 31*j**6\/120 + 961*j**5\/40 - 14*j**4\/3 - j**2 - 25*j. Let k(u) be the second derivative of b(u). Factor k(w).\nAnswer: 3*(w - 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.32+-303433222067\nAnswer: -303433222067.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9889 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-4 - (14 + -13)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 12:49 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51.1 - -52.5. Let z = w - 1.313. Are -1\/4 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 61*v**5\/60 + 148*v**3\/3 - 523*v**2. What is the derivative of m(r) wrt r?\nAnswer: 122*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26 in -2, 0.3, -0.1, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 - (0 + -3 + -19 + 32)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/(-12) - (-50 - -32)) + 1827\/(-42).\nAnswer: -65\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + 2*sqrt(833)).\nAnswer: -28*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + p + 47. Give u(11).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 585 - 322?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3*g. Suppose 369 = -z + 4*v, g = 5*v + 2 - 22. Let r = 652 + z. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 763*q**3 + 11573358*q - 11573358*q.\nAnswer: 763*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - u + 100. Let q be (-12)\/5*u\/15. Let j = q - -25. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/12 and -57\/316.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 + 31*c**2 + 22*c**2 + 6*c**2 to j*c**2 + n*c + l and give j.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.15 + 27.05. Let b = -55 + 66.8. Let u = b - n. Round u to zero decimal places.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4774 - -4775.3. What is the second smallest value in 0.4, f, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/4 of a milligram in micrograms?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -15\/577?\nAnswer: -15\/577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(450)*1 + 3*(sqrt(450) - 2*sqrt(450)) + sqrt(450))\/(-2*sqrt(640) - (sqrt(1210) + sqrt(1210) + (sqrt(1210)*-1 - sqrt(1210)))).\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i + 8. Let c be h(-2). Find t, given that 0*t + 0*t**2 + 0 + 1\/2*t**c + 0*t**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -n + 3*n. Let z(j) be the first derivative of j**2\/2 - 3*j - 11. Let d be z(n). Solve 3*t + 11 = d*o, -6*t + 3*o = -2*t + 16 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) - sqrt(153)\/(sqrt(54)\/sqrt(6)))*3)**2 + 5)*-5.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3778377 millimeters in nanometers?\nAnswer: 377837.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1006 - 4*t**2 - 17*t + 1006.\nAnswer: -4*t**2 - 17*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-25)*(-425)\/170?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - 232?\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmxm when four letters picked without replacement from mxxxxm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l - 2*l**2 - 235 + 228 + 2*l**2 - l**3. Let d(c) = 3*c + 3. Calculate -14*d(m) - 6*r(m).\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7*l + 1 - 2*l - l**2 + 2*l**2. Let i(f) = f - 2. Let m(x) = 4*x - 7. Let w(c) = 14*i(c) - 4*m(c). Determine -5*w(p) - 2*z(p).\nAnswer: -2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 18*u**2 + 0*u**6 + 0*u - 1\/105*u**7 + 0 + 1\/252*u**8 + 0*u**3 + 1\/90*u**5 + 0*u**4. Suppose i(q) = 0. Calculate q.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 28 - (0 + 2) - (-1 + (-5 - 37)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 2*d**2 - 4*d + 2. Let v(p) = p + 1. Let k be v(3). What is the tens digit of r(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (4 - (-3)\/(-1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 26 = 6*h - 3*h, 31 = 3*h - 5*l. Let w = -2558 + 370912\/145. Let f = 713\/870 + w. Which is smaller: h or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, -0.018, 1.51, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 14*t**2 - 16*t + 19. Let p be a(15). Solve -2 + 10 = -p*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9088*u + 387 - 387.\nAnswer: 9088*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 3. Let x = o + 0. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.3 in 6, -0.5, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5348366, -10696754, -16045142, -21393530?\n\"Answer: -5348388*m + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(104) + -2*sqrt(104)))\/sqrt(8) + sqrt(78)\/(2*sqrt(96)).\nAnswer: -39*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1304.2674 take away -1471752?\nAnswer: 1470447.7326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o - o**5 + 2*o + (3 - 2 + 0 + (2 - 2 - 2)*(-4 + 4 - 2) + 0 + 0 - 2)*(o**5 + 3 - 3).\nAnswer: 2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.89 - 1.11. What is the fourth biggest value in 0.4, 2\/9, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 + 0*s**3 + 0*s**3 + (-2 + s + 5 + 3)*(-s**2 - 5*s**2 + 4*s**2).\nAnswer: -3*s**3 - 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (12*(-6)\/(-42))\/(2\/7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -533, -536, -539, -542, -545?\n\"Answer: -3*g - 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 5*x - 50, -x + 0 + 25 = 4*i. Let w = i - -5. Let v(t) = -w*t + 7 - 3 - 3*t**2 + 4*t**2. Determine v(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 17, -3823808.\nAnswer: -3823808, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11832536?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9, 18, 39, 78, 141?\n\"Answer: k**3 + 2*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -124529\/1070428 + 28\/2501. Let y = 32413\/19260 + u. What is the common denominator of y and 36\/35?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/(-7) + 1 + 0. Let t = i - -4. What is the units digit of ((0 - t) + 8)*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.9 - 1.1. Suppose -4 = -4*j + 5*z, 5*z - z = -3*j - 28. Put p, 1, j, -3\/2 in decreasing order.\nAnswer: 1, -3\/2, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**3*z**3 - 5*y**2*z**3 + 4*y**2 - 15*y*z**3 + 2*y + 4*z**2 wrt y?\nAnswer: 12*y*z**3 - 10*z**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-20) + (-746)\/(-10). Suppose 12*d - 17*d - l = 0. What is the hundreds digit of (-10)\/d*(-387)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r*z**4 + 39*r*z**3 - 364*r*z**2 + 48*z**4 - 4*z wrt z.\nAnswer: -24*r*z + 234*r + 1152*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 13. Suppose -4*i - 25 = i, 2*s - 9 = -i. Suppose 5*y - s + 2 = -g, g - 3*y = -3. What is t(g)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12808 - 76307. Let m = 803499 + q. Round m to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.25 - -0.36. Let j = 2.01 + p. What is j rounded to one decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13409, 26981, 40695, 54545, 68525, 82629, 96851?\nAnswer: 111185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(16\/(-4))\/(-24).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 7:28 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3*g**3 - 14\/3*g**2 + 120 + 16*g = 0. What is g?\nAnswer: -6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876491603?\nAnswer: 13, 19, 3548549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.6 - 5. Let m = 18 + -18. Let p = -0.4 + 0.3. Which is the closest to p? (a) m (b) -0.3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ab8 - -2?\nAnswer: -ab6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05 + -4.95. What is the third smallest value in -2\/11, 3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.89 plus -0.216?\nAnswer: -5.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + 1 + 4 + sqrt(9)\/sqrt(3))**2.\nAnswer: -84 - 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10244754 is divided by 211?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5*h = -185, 3*l + h = -30 - 77. Let m = l - -58. Let u = 237 + -196. Calculate the remainder when u is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 178 - 81. Suppose -g*p = -102*p + 10. Suppose p*d - 4 = 86. Calculate the remainder when 178 is divided by d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdoedvooodovoveeoodo. Give prob of sequence edo.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103213 is divided by 24490?\nAnswer: 5253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by -2577.\nAnswer: -29\/2577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.18 in -107, 0.2, 1\/9, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(180) + -2*sqrt(180) + sqrt(180) + sqrt(180)) + (sqrt(180) + (sqrt(180) - sqrt(180)*-1) + sqrt(180))*1)**2 + -2.\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -247085 or 111?\nAnswer: -247085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -27 - 203 + 9 + 22*t + 53*t. Let x be h(3). Factor -1\/2*p**x + 0*p**2 + 1\/2 + p**3 - p.\nAnswer: -(p - 1)**3*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274 + 22*r - 274.\nAnswer: 22*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 17*w + 11*w + 8*w. Let v = 6 + 27. What is the remainder when v is divided by a(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10195902373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 8 = c. Let n be 17 - (-12)\/(-3)*c. Suppose 9*m - n = -39. What is the second biggest value in 0.7, 1, m, 2\/15?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*c - 36 + 252 = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 42\/137 (b) -45 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.7 (c) -59625 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (124\/32 - -2) + -3*105\/45?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -287, -1112, -2449, -4298?\n\"Answer: -256*o**2 - 57*o + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -2*n**3\/27 + 1970*n**2\/9 - 1940450*n\/9 + 6368. Suppose f(l) = 0. Calculate l.\nAnswer: 985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 x, and 1 n when three letters picked without replacement from wxwxxdnnwwx?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*r - 0*h + 2*h, r + 5*h - 25 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/8*4\/2. Suppose 4*m - q + f = -0*q, 5*m + 30 = -3*q. Let d be -2*(m + (-3 - -4)). Solve 25 = d*z + z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -72 + -5?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2293*c - 499*c - 39468 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 75637.39525 rounded to the nearest 1000?\nAnswer: 76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q + 11. Let k be w(-4). Let b(c) = -c + 1. Let i(d) be the second derivative of -d**3\/2 + 5*d**2 - 19*d. Let p(h) = k*i(h) + 2*b(h). Give p(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 2:44 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8833437*z**2 + 11*z + 33824?\nAnswer: 17666874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**6\/120 - 3*a**5\/20 - 3*a**4\/8 - 2*a**3 + 9*a**2. Let y be m(10). Let l = y + 52. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*k = -182*k + 113*k + 1615 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 102?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -2\/1073588731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16415 (base 8) in base 12?\nAnswer: 4379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -56683220 to the nearest one hundred thousand.\nAnswer: -56700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 919667 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eytt when four letters picked without replacement from {y: 1, w: 4, e: 7, t: 2}.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*b - 0*b - 14, -2*b - 2 = 4*u. Let y be 36 + -19 + (0 - u). Solve -6 + y = 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*((-81)\/6 - 2). Let h be (-4)\/7 - (-1696)\/224 - (-6)\/(-1). Sort d, h, -5.\nAnswer: -5, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56.4 - -58.4. Put d, 1, -1.65 in decreasing order.\nAnswer: d, 1, -1.65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 96 = -3. Let y(i) = -5*i + 20. Let d(z) = 1. Let b(s) = -4*d(s) - y(s). Let j be b(7). What is the highest common factor of g and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1. Let d(f) = -f. Let n be d(-3). Suppose 2*x + n*x = 2*o - 8, 4*x = 5*o - 20. Suppose -3*z + o = -z. Let m(r) = -r + 4. What is z*m(s) + 7*y(s)?\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31\/2*x + 1\/2*x**2 + 75.\nAnswer: (x + 6)*(x + 25)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 143725 + -143725. Factor 4\/9*y**2 + 4\/9*y**3 + 0 + t*y.\nAnswer: 4*y**2*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4404430 is divided by 66731.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43366*b**3 + 21683*b**3 + 21742*b**3.\nAnswer: 59*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 470, 1003, 1746, 2693, 3838?\nAnswer: 5175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 3861217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3890000 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -7. Suppose -5*r + 674 = l, 0*l - 3*r = f*l - 3458. Suppose -3*x - 5*s + l = 0, 0 = 2*x + 5*s - s - 462. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 296*t**5 - 270*t**2?\nAnswer: 17760*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x - 5537 + 5544 + 1000*x**2 - 2*x.\nAnswer: 1000*x**2 + 5*x + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -54.31819 and -0.4.\nAnswer: 21.727276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f + 0*f + 2*f)*(8*f - 5*f**2 - 6*f - 4*f**2) in the form a*f + k + r*f**3 + o*f**2 and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-12)*1*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9348547001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 (base 7) in base 16?\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by 5.\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**7\/189 - 4*i**6\/135 + i**5\/90 + 8*i**4\/27 + 4*i**3\/9 - 948*i. What is t in p(t) = 0?\nAnswer: -3, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 94, 408, 948, 1720, 2730, 3984?\n\"Answer: l**3 + 107*l**2 - 14*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 196716.7cm in kilometers?\nAnswer: 1.967167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 10*j - 10. Let r(z) = z**2 + 15*z + 15. Let a(n) = -8*h(n) - 5*r(n). Let m be (-54)\/(-7) + 2\/7. Is a(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21840850 to the nearest integer?\nAnswer: 4673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10123 + -321?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (36 - 4 + 0)*(-6 + 4*x + 6) + 4*x - x - 2*x as w*x + q and give w.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*q + q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1285, 5057, 11273, 19933?\nAnswer: 31037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*n**2 + 486*n**2 + 51*n**2 - 402*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/20*25\/(-30). Let m(q) be the second derivative of -i*q**2 - 1\/6*q**3 + 0 - q. What is the first derivative of m(f) wrt f?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**2 - 4*z - 8 = 0. What is z?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/4 - (-60)\/(-80). Which is the nearest to -0.1? (a) -3 (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 88.00453km?\nAnswer: 88004530000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(2\/5)))**45\/(x*(x**(-4)\/x*x)\/x*x**(-6)) assuming x is positive.\nAnswer: x**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003969 rounded to 5 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2098607227?\nAnswer: 463, 4532629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 34?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*u**3 + 10*u**3 - 6*u**3 + (3 + u**2 - 3)*(3*u - 2*u + u) + u**3 + 2*u**3 - u**3 + (-u + u - u)*(4*u**2 + u**2 - 4*u**2).\nAnswer: 13*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 1 + 2*v**2 - 2*v**2 + v**2 + 5*v. Suppose -2*j + 20 = -5*s, s = 6*s + 2*j. Let m be 2\/(-4) - (-9)\/s. Determine o(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*j + 594 - 706. Put 0, -3, 8, j in increasing order.\nAnswer: j, -3, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 360 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 70*z - 1085. Let h(o) = -o**2 + 69*o - 1086. Let b(i) = -4*h(i) + 3*p(i). What is j in b(j) = 0?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472*z + 469*z + 7 = i, 4*i = z + 41 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**4\/12 + k**3 - k**2. Suppose w - 30 = 6*w. Let s(v) = -2*v + 5. Give w*s(g) + 5*b(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004456597 rounded to 6 decimal places?\nAnswer: 0.000446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**2 + 267*a - 10. Let t(q) = 2*q**2. Calculate m(t(c)).\nAnswer: -16*c**4 + 534*c**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (144\/32)\/((1\/(14\/(-4)))\/(880\/308))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 3*j**3 - 164714943*j**2 - 658859808*j - 658859820 = 0.\nAnswer: -2, 54904985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*0.646\nAnswer: 0.01938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*t = 20*t - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -17. What is the remainder when ((-5)\/2)\/(4\/(-56)) is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3499*c**3*p**3 - 8573*c**3 + 270*c*p**4 - 2*p**3 - 512*p**2 wrt p.\nAnswer: -20994*c**3 + 6480*c*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 73*w - 357. Calculate q(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -7*k**3 - 5*k**2 - 3*k + 2. Let n be b(-3). Suppose 3*q - 8*q + n = 0. List the prime factors of q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 8, 3*u - 58 + 88 = 107*j - 110*j for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 454 + 40505?\nAnswer: 41403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 - 132*v**2 - 1020*v + 1156.\nAnswer: -4*(v - 1)*(v + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 5.06. Let t = k - -0.07. What is t rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - 2*u + 5*u)*(-u**3 + 3*u**3 - u**3) + 7*u**4 + 6*u - 6*u + 9*u**3 + 6 - 41939*u**4 + 41998*u**4 - 6.\nAnswer: 65*u**4 + 9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -410086908\/5 or -82017383?\nAnswer: -82017383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 29167696632056.\nAnswer: 29167696632058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + ef2?\nAnswer: eee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 20\/3*g**3 + 0*g**2 - 91 - 153\/4*g**4 + 5*g. Find the third derivative of d(s) wrt s.\nAnswer: -918","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -9. Calculate the highest common factor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 360931008?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 14 = -2*r + 2, -2*r + q = 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 7*q. Let p be ((-17)\/(-34))\/((-15)\/(-12))*20. Sort q, p, 4 in decreasing order.\nAnswer: p, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*m**3 + 20*m**3 - 48*m**3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -281 - -544. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j - 8. Let c(g) = 8*g - 15. Calculate -4*c(z) + 7*s(z).\nAnswer: -4*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 642478507680 less than 0.2?\nAnswer: -642478507679.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 84*n*q**3*w + 3172*n*q*w - q**3*w - q**2 - q*w - 13168*q wrt n.\nAnswer: 84*q**3*w + 3172*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 53 = -163. List the prime factors of (-2234)\/(-9) - (-12)\/k.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/sqrt(80) + 0 + 4.\nAnswer: sqrt(5)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 502*t - 96*t**3 - 502*t - 2.\nAnswer: -96*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**8\/2688 - o**7\/840 - o**6\/192 + o**5\/80 - 285*o**2. Find q, given that d(q) = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 810 and 1080?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*k - 1241 - 1855 + 146 = 0. Solve -k*a + 15*a = 30 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 52 (b) 2\/7 (c) 4 (d) -110 (e) -1\/6 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1029 and 609.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 - 36. Suppose -39 - 57 = -n*o. What is the biggest value in -2\/3, o, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10b (base 12) to base 16.\nAnswer: 9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50618 plus -1474?\nAnswer: 49144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 4387*p**3\/6 + 37*p**2\/2 + 11*p + 1. Is b(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 127 = 11*z + 19*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26246 (base 10) in base 9?\nAnswer: 40002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182839 is divided by 309.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - (6 + 8 - 26) - (9 - (-2 - -102))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*o = 91, 2*z + 4*o + 94 = 2*o. Let p be ((-60)\/z)\/((-6)\/(-980)). Suppose -4*w + 52 = -p. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8835724 - 8835946.99465. Let i = -223 - s. Round i to four decimal places.\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66435?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 5*c**2 + c + 7. Let f(g) = g**2 + 6*g + 4. Let i(w) = w**2 - 8*w - 12. Let x be i(9). Let l be f(x). Determine z(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -85*t + 0*t**3 - 97\/20*t**5 + 25\/3*t**4 + 0 + 0*t**2. What is the third derivative of i(h) wrt h?\nAnswer: -582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*((1 - 3 + 3)*(4*g - g - g) - 1508 + 50*g + 1508).\nAnswer: -104*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + c**2 - 2*c - 1. Let w(t) = -t**3 + 13*t**2 - 8*t + 2. Let m(r) = 2*f(r) + w(r). Let m(o) = 0. Calculate o.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.044973 and -5?\nAnswer: 5.044973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 46a + -28?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-8)\/(-6))\/2)\/4. Let b = 15.4 - -3.6. Let f = b + -16. Put 0, f, h in increasing order.\nAnswer: 0, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 11:14 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 4, -5, 0, -1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129515079.\nAnswer: 3, 97, 445069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 13*w**5\/20 - 68*w**2. Let p(q) = 6*q. What is t(p(i))?\nAnswer: 1404*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 3087*l**2 - 789480*l - 2396304.\nAnswer: -3*(l - 516)**2*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2 + 2*sqrt(1300) - sqrt(1300) - sqrt(1300))**2 + 2*sqrt(1300)*-3 - (1 + -6*(sqrt(1300) + -3*sqrt(1300)))**2).\nAnswer: -187196 - 300*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 660730801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*m + 14 = 0, 3*b - 24 + 3 = -5*m. Let r(o) = -o + 27. Let s be r(25). Find the third derivative of 0*t**s + 5*t**2 - t + t + b*t**5 wrt t.\nAnswer: 420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8681250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-28)\/10*-10*20\/(-70).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a tonne in kilograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61937336 by -36052.\nAnswer: 1718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 8*b - 48. Let t be (b\/(-8))\/(2\/(-4)). Suppose t*o + 15 = 72. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2204*u**4 - 29756*u**2 - 90*u + 1031049.\nAnswer: 26448*u**2 - 59512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (385\/88)\/7*(-2)\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 956640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 0. Let g = 1.84 + -1.24. Let s = j - g. What is s rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 8:38 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14.7 (b) 0.9 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.409869, -2?\nAnswer: -0.409869","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86598 and 5508.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 18*y + 19. Let u be m(17). Suppose -u*s + 876 = -11402. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 0*q**4 + 0*q**3 + 7\/5*q**5 + 0*q**2 + 20*q - 27. What is the derivative of g(p) wrt p?\nAnswer: 28*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18.56898 + -18.264. What is u rounded to three decimal places?\nAnswer: 0.305","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*h + 8769 - 75 = 0 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 11:17 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1154, 3887, 8196, 14081, 21542, 30579, 41192?\n\"Answer: 788*u**2 + 369*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3703371 (base 11) in base 6?\nAnswer: 350100442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -84977496047 from 44.\nAnswer: 84977496091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5d + 0?\nAnswer: 5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 178 + -15916. Let i = r + 23149. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1049, -1643 in descending order.\nAnswer: 5, -1049, -1643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -5.3. Let z = -5.5 + u. Let d = z + 0.4999976. Round d to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -695 = -6*s - 197. Let h = -149 + s. Is h less than or equal to -66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 85458752 and 348506.\nAnswer: 85807258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100010110110100000 + 100111100?\nAnswer: -1100010110001100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9127 - -195. Is 79 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*j - 3. Suppose -j*d + 4*d - 5*s - 53 = 0, -5*d + 295 = 5*s. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -23*d**2 - 2*d - 1. Let z = -219 - -218. What is i(z)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1193?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (9 + 9 - -8) + (-9 - -2)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1\/3, 2\/55, 4 in decreasing order.\nAnswer: 4, 2\/55, -0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.35319943 to 4 decimal places.\nAnswer: 0.3532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 536256 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*35\/147)\/((-2)\/(-7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/6)\/11*-1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.4, 0.05, -1531, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from {j: 8, p: 3, x: 2, e: 3}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*p**4\/5 - 11778*p**3\/5 + 8856*p**2\/5 + 26518*p\/5 + 5892\/5 = 0. What is p?\nAnswer: -1473, -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 5*n + 127 = 6*k - 2*k, -5667*n - 26 = -3*k - 5672*n for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 7:23 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q - 31 = -7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4 = 0, -18*x = 3*r - 22*x + 5. Which is the second smallest value? (a) -4 (b) -0.03 (c) r (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 5*k**2 + 6*k + 1. Let i be c(-7). Let t = -30 + i. Solve 0 = 3*v + 3*l - t, 7*v + 2*l = 3*v + 28 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.33075 in -3\/5, 0, -87?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -2\/105*h**7 + 1\/4*h**4 + 0*h**6 + 0*h + 3*h**2 + 0 + 0*h**5 + 0*h**3. Find the second derivative of n(x) wrt x.\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 68 (c) 1.6 (d) -44 (e) -0.3 (f) -1\/35\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.4661 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 12:29 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 6 = 5*m - 9, 0 = 5*y. Suppose m*n - 115 = 944. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-68)\/2 - 1)\/(-1). Let n = -19 + v. What is the greatest common divisor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/((-408)\/(-36))*1*-1.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 913041 is divided by 304335?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.872125 millilitres in litres?\nAnswer: 0.001872125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from uusususussuu?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43778591?\nAnswer: 23, 811, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 2*f**2 - 2*f - 4. Let r be j(0). Let q be (-1*2 - (-2576 + r)) + -3. Suppose 3*s + 5*v - q = 606, 3*v = -3*s + 3189. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0*k + 26. Suppose 5*z - d = 124, -z + 5 = -4*d - 16. Calculate the remainder when z is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/30 - 1)*-60. What is the highest common divisor of l and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-2) + (-14)\/(-4). Let m(w) = -w**3 - w**2 - 2*w + 2. What is m(t)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-5)\/(-52)*(-4)\/10?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n + 5. Let b(f) = -f. Let c(p) = 5*b(p) + w(p). Let x be c(5). Suppose 0 = -308*s - 174*s - 291*s - 165*s. Is x at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 425\/225)\/((-14)\/3647) + (-7)\/(-126)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -41, -62, -61, -26, 55, 194, 403, 694?\n\"Answer: 2*n**3 - n**2 - 32*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -7 - (-4 + 16 + -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 431, 1040, 1999, 3482, 5663, 8716?\n\"Answer: 29*f**3 + f**2 + 403*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28 + 1151*l**2 - 4322*l**3 - 247*l + 246*l + 28 wrt l?\nAnswer: -25932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1162816, -1162817, -1162816, -1162813, -1162808?\n\"Answer: m**2 - 4*m - 1162813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n + 6*n + 14*n**3 - 9*n**3 wrt n?\nAnswer: 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 665\/50 + (54 - 68))*10\/4.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -136297*b**4*c - 34*b**3*c - 126870*b*c + b - 12*c wrt b?\nAnswer: -1635564*b**2*c - 204*b*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**3\/3 + 5*n**2\/2 + 3. Calculate the remainder when 17 is divided by z(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 855 divide 153023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(25\/(-15)) - -2. Suppose 131 = -2*m + 247. What is the remainder when m is divided by n*(-3 - -4 - 11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18794 + 93984\/5. Which is the third smallest value? (a) -5 (b) 3\/2 (c) -1\/2 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*p - 1704, m - 6*p + 11*p - 390 = 0. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -20221 (b) -2\/5 (c) -2 (d) -7\/5 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -14679\/31 greater than -475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s*s**(-7)*s*s*s)*s**(-8)*(s\/s**(-1)*s)\/(s*(s*s\/s**(-2\/5))\/s)*(((s\/(s\/s**3))\/s)\/s)\/s**(-5)*s*s**(-1)*s*s*s**(-2)*s*s*s assuming s is positive.\nAnswer: s**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 33*a + 129. What is u(-28)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 3:15 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.2 + -1. Let w = -0.195 - -0.695. Let z = -3 - -2.5. What is the closest to -1\/3 in d, w, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16831276 by 601117.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -241*w**2. Let t(n) = -4*n. Calculate q(t(a)).\nAnswer: -3856*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 408.2 + -408. What is the closest to v in 0.5, 2, -2\/11, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 f when four letters picked without replacement from {f: 9, j: 6, d: 4}?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, v: 1}. Give prob of picking 1 v and 1 e.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -101100 (base 2) in base 11?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*sqrt(210))\/sqrt(10))\/((sqrt(28)*-1 - sqrt(28))*2).\nAnswer: 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1\/26797 (b) -4 (c) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/6 - 0)\/(-1)*0. Solve -66*o + 61*o - 10 = y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -149734700 rounded to the nearest 1000000?\nAnswer: -150000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 2 - 10*(-64)\/280. Which is smaller: 31 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p**3 + 296*p**2 - 60*p - 115. Determine h(59).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 - 168.1. Let r = t + 120. What is r rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -391970 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yihe when four letters picked without replacement from {t: 2, o: 3, e: 2, h: 2, y: 2, i: 5}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*o + 28 = 0, -4*o + 45 = 5*i + o. Solve -5*s - 30 = 5*c, -4*s - i*c - 7 = 21 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-2 - -2) - -12. Suppose v = -3*t - 0*t. Calculate the least common multiple of 7 and 8\/5 - t\/10.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 4, -19.885 in decreasing order.\nAnswer: 4, 1\/3, -19.885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 48 = 30*n - 25*n, 41*j - 2*n + 295 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p + 16 = 17*p. Let s be (-8)\/14*28\/p. Let h(b) = 2*b**3 - b**2 - b - 1. Determine h(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1.2. Let m = 0.12 + r. Let u = m - 0.31987. Round u to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 5*z + 1. Let v(j) = j**2 - j - 1. Let l(b) = b - 2. Let u be l(3). Let t(g) = u*q(g) + 2*v(g). What is the units digit of t(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-148)\/814 - 105\/(-33). Sort -5, t, 25.\nAnswer: -5, t, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*r - 14 = 0, 3*r = 17*s - 13*s - 23. Let 0*d + 0 - 8\/17*d**3 + 0*d**s - 2\/17*d**4 = 0. Calculate d.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 569*m**3 - 17*m**2 + 17*m**2.\nAnswer: 569*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/14*(21\/9 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9a + 5?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3 = 5. Suppose -g - q + y = -4, -4*g + 44 = -2*q. Solve 0 = -2*r - 0 - g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from gqqomjjoxoxq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 399 by -57.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + 77\/(20 - 13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1587551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-14 - (-7 + -3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 495308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 2 - 2)*(g + 2*g + 2*g) + 0 + 2*g**3 + 0 + 21*g**3 + 5*g**3 + 4*g**3.\nAnswer: 27*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -168.614 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*w - 913 = -21*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1766 a factor of 7216641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34067 and 1628.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 9*g**2 + 6*g - 6. Let d be p(-8). Suppose -x - d = -46. Is ((-9)\/x)\/(1\/(-844)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 10 = -5*l - 4*w, -3*w - 10 = l. What is the first derivative of l - 7*o + 3*o - 4*o**2 + 4*o wrt o?\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(170) + sqrt(170) + (sqrt(170) + (2*sqrt(170) - sqrt(170)) + sqrt(170))*-5 + sqrt(170))\/((sqrt(40) - sqrt(640)*3)\/sqrt(4)).\nAnswer: sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 5*x, 1 = -2*x - 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2370900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - f. Suppose -5*j = -4 - 1. Let x be s(j). Let o(m) = m**3 + 74. Is o(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0647 to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2130195 by -59.\nAnswer: -36105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/5 - 68*t**2\/5 - 71*t\/5 + 138\/5.\nAnswer: (t - 69)*(t - 1)*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or 119948?\nAnswer: 119948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -14, 2, 0, 48.\nAnswer: -14, -6, 0, 2, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -84*z + 29. Let j(h) = -136*h + 44. Let m(g) = -5*j(g) + 8*k(g). Determine m(-10).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 3*d - d - 4*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnmb. What is prob of picking 1 n and 1 b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + (29\/10 - 4\/(-40)). Suppose -2*n - d*n = -6920. What are the prime factors of n?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (453\/(-5285))\/((-16)\/120)?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -2\/13, 2, 0?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1666281 greater than -1666291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 228.0000128 + -228. What is f rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23089 + 23091. Sort -3, -24\/5, -0.3, u, 0 in decreasing order.\nAnswer: u, 0, -0.3, -3, -24\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -104, 1, -29014, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 + 3*d - 3. Let s(k) be the first derivative of 2*k**2 + 2\/3*k**3 - 4*k + 74. Let w be ((-4)\/(-3))\/(1\/(-3)). Determine w*h(c) + 3*s(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12042, -24086, -36132, -48180, -60230, -72282?\n\"Answer: -n**2 - 12041*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + -2 + -1)*2. Let k be (-1)\/5 - 2\/j. Suppose k = -u - 3*u + 108. What is the greatest common factor of 18 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f = 30*f - 25. Suppose f*s = -2*s + 14. Solve -4*v - 8 = -s*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*y - 84 = 6*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, -19, -783.\nAnswer: -783, -55, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 6:33 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9191135*x**6 + 201135*x**2 + x + 2 wrt x.\nAnswer: 1102936200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-4) + (-8)\/(-16). Sort x, 2, 1, 3.\nAnswer: x, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -19*c + 22. Let u be l(10). Let f = u + 822\/5. Calculate the common denominator of 8 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.5 in 0.9, 279, -0.4, 2\/3, 2\/13?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5*i = 2*x - 68, 4*x + 99 = -5*i. Let h(u) = u**2 + 31*u - 1. Let k be h(x). Which is the nearest to k? (a) 1 (b) 7 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14675 + 0?\nAnswer: -14675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 14. Let o(c) = -c**3 + 7*c**2 - 5*c - 4. What is the units digit of o(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97878.5 rounded to the nearest one thousand?\nAnswer: -98000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 3 = -v, -620*m + 311*m + 314*m = 34*v - 112 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 9*s + 16. Let z(o) be the third derivative of 1\/6*o**3 - 1\/30*o**5 + 1\/210*o**7 + 0 + 0*o**6 + 0*o**4 - s*o**2 + 0*o. Factor z(x).\nAnswer: (x - 1)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6125 is divided by 264?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*j = 18, 5*j + 4 = -3*y - 0*j. Suppose -7*k + 25 = -y*k. Solve v - 5 = -3*t, 0*t = -2*t - k*v + 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**3 - 5*d + 6*d**3 - d**3 + 2*d**2 - 2. Calculate c(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 b when three letters picked without replacement from {m: 3, n: 3, q: 7, b: 2}?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/((-306)\/(-6426)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d - 83 + 83 + 3*d. Let u = 25 + -16. Let g(s) = 16*s**2 - u*s**2 + 6*s**2. Determine g(j(m)).\nAnswer: 52*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08784 rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1283 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 + -72. Let g be 1\/(6\/51) - 1\/w. Suppose 0 = -27*p + 31*p - g. Solve 0 = p*a - 6 + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1968956, -3937884, -5906812, -7875740, -9844668?\n\"Answer: -1968928*k - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 8*x = 3*p + 3273, 3*p = x - 816. What are the prime factors of x?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3103126 and 0.157?\nAnswer: -487190.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 30*x**2 + 27405*x - 111350. Let q(r) = -r**2 - 884*r + 3592. Let m(n) = 4*a(n) + 125*q(n). Factor m(v).\nAnswer: -5*(v - 4)*(v + 180)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 58, 72, 102, 154, 234?\nAnswer: 348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58793, -58810, -58827?\nAnswer: -58844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = -3*r - 108, -4*v - 5*r - 4*r + 48 = -13*r for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8 + 64\/24)*6\/(-4). Suppose -g = 5*l - 6, -5*g - 3 = -w. Which is bigger: -1\/263 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 8*m**2 - 8*m - 5. Let g be b(-7). Suppose -g*w + 12 = w. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, -2\/1539, -1, -54, -2\/13?\nAnswer: -2\/1539","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, y: 1, s: 4, o: 2, q: 2}. Give prob of picking 2 q and 2 o.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 17*f**2 + 1017*f + 22950. What is p(-21)?\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -44450*b + 133478. Give f(3).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - 1. What is the units digit of (59 + 1)*(-4)\/k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.501922 to 1 decimal place.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 56 = -4*j, -6*y + 3*y = 2*j - 30. Solve 0*x + 9 = j*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 14835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-326)\/6)\/(5\/(-15)). Round i to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 22?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1215723.\nAnswer: 3, 405241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 388 = 3*m + m, -4*m = 2*n - 364. Suppose j - 105 - n = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, x: 1, t: 1, h: 3, l: 1}. What is prob of picking 1 h, 1 w, and 1 t?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4804212 and 3126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2515 + -1538. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28507436*m**5 + 57240*m - 77.\nAnswer: -570148720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 7:54 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (4 + -14 - (1 + -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2\/5 + 56*d\/5 - 208\/5 = 0. What is d?\nAnswer: 4, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5475 + -5472. Let x(s) = -3*s - 1. Let q be x(-1). Solve q*n = -g*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -184755 - 5?\nAnswer: -18475a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1158, -1181, -1208, -1239, -1274, -1313?\nAnswer: -1356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 n, and 1 q when four letters picked without replacement from nqiiiinniqii?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2451*a + 6763. Determine m(-3).\nAnswer: -590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x - 3*x + 6*x + (12 - 3 - 1)*(1 - 1 - x) - 9*x + 8*x - 23*x.\nAnswer: -33*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by -1?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -22?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 35, 5*x - 17 = 266*g - 270*g. What is the remainder when 321 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j**2 + 108*j - 552. What is t(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 - k**3 - 2*k**3 + (-1 + 1 - 2*k**3)*(3 - 2 - 3) + (-3*k**2 + 9*k**2 - 22*k**2)*(-12*k - 10 + 10) as u*k**2 + y*k + d + p*k**3 and give p.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 32*o + 105. Let q be y(35). Solve q = 5*s + 6*k - 2*k + 17, 0 = 2*s + 5*k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 611 = -7*d + 3*r, 502 = 4*d + 2*r. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -621, -1240, -1845, -2436, -3013?\nAnswer: -3576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -15*u**3 + 11*u**2 + 20*u - 9. Let b be v(-3). What is the highest common divisor of b and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4898380.\nAnswer: 2, 5, 17, 14407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 107811 a multiple of 620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3627 + 3632. Solve -22*a + 19*a - 3 = 3*u, -4*u - s = 5*a for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 4*k + 2*k. Let c be 2\/1 - (-8)\/2. Suppose c = 3*b + 21. Give l(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 8*f - 7. Let m be t(-5). Let q be 14\/10 - m\/20. Which is bigger: q or -6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6122 - 6112. Solve -8 = f*m + 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*a + 6*a + 11*a)*(-3*a**3 + 2*a**2 - 2*a**2).\nAnswer: -81*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57218850 and 76050?\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (432\/(-108))\/(2*2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 2:36 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/1 - (5 + -8 + -23). Let f(j) = k + 27 + j**3 + 11*j + 25 - 8*j**2 - 87. Calculate f(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1156 or 1159?\nAnswer: 1159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1374939 is divided by 868.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 5*p**2 + 6*p + 27. Let s be q(-5). Let z be (-1)\/s*8 + (-1)\/1. Sort 2, -0.06, z.\nAnswer: -0.06, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(-949*d - 15876 + 15876).\nAnswer: 949*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - 11) + 6 + -2. Let s(l) = -l**2 - 1. Let j(y) = 7*y**2 + 3*y + 6. Calculate x*j(p) - 5*s(p).\nAnswer: -2*p**2 - 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2177*l**3 - 2180*l**3 - 22*l**2 - 79*l**2 + 6542*l**3 - 2183*l**3 + 101*l**2.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1604632 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*g = 20. Let o = -4 - -6. Find s such that g*s**4 - 3*s**3 + s + 7*s**5 - 5*s**o + 0*s + s - 6*s**3 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(2*1\/4). Let m(p) = -p**2 - 9*p + 10. Let i be m(-9). What is the greatest common factor of c and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*j - 2*j - 91673 = -93533 for j.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 196711\nAnswer: 2\/196711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 4*r**2 + 0*r - 5*r - r to the form u*r**2 + l + c*r and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(88)*-3 + 5*3*sqrt(88) + sqrt(88))\/((sqrt(8) + sqrt(8) + -2*sqrt(72) + sqrt(72) + sqrt(72) - sqrt(8)*1*-5)*-3))**2.\nAnswer: 44\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 9. Suppose 1 = -7*h + 8. Suppose w - h = 4*s - 38, 0 = -2*s - 5*w - 9. What is the units digit of m(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 22 = 4*x, 4*x - 1 = o + 17. Suppose h + a = -2*a + 5, 10 = 4*h + o*a. Suppose l - 2 + 8 = 0. Sort 5, h, l in decreasing order.\nAnswer: 5, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u - 74353. Let b(y) = 3*y. What is b(g(p))?\nAnswer: 9*p - 223059","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -206 - -208. What is the third biggest value in 4, 17, j, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6003*i**3 + 39655*i**3 - 33663*i**3.\nAnswer: -11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32580 and 3222.\nAnswer: 5831820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 - 151*j**2 - 14 + 71*j**2 - 101 + 81*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 4*d**5 - 249752*d**4 + 10485156*d**3 - 163994832*d**2 + 1132159680*d - 2911147776 = 0?\nAnswer: 9, 12, 62396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3157 - -3?\nAnswer: 3162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10877490 times -43\nAnswer: 467732070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46950 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-2))\/((-4)\/(52\/(-13) + 8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(110) + (sqrt(110) - 2*sqrt(110)))*4)\/((sqrt(640) - -1*sqrt(640))*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 14876.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -102232 (base 4) to base 12\nAnswer: -83a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 11*w + 66. Let v be j(-6). Suppose v = 344*d - 347*d. Solve -4*g - 3*t + 24 = -d*g, -t = -5*g + 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1925, 2, 0.2, -3\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*c + c. What is the smallest value in 0.4, c, 9\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/q**18)*q*q**23 assuming q is positive.\nAnswer: q**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 88 = -4*u - 0*m + 16, m = 8*u - 0*m - 226 for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -8*b - 30. Let s be q(6). Let m = 209 + s. Round m to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 830260 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*p**3*u - 162*p**3 + p**2 - 2*u**4 - 50*u**2 with respect to u.\nAnswer: 5*p**3 - 8*u**3 - 100*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6\/11 (b) -3 (c) 0.5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-2*(-1)\/52). Let l be (7 - 2 - (-60)\/(-10)) + 4. Suppose 5*h + 36 = 2*o, -o + l*h + 21 = -h. What is the greatest common divisor of o and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -54, -95, -156, -243, -362, -519?\nAnswer: -720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2697 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**5 + 380*j**4 + 3308*j**3 - 1132*j**2 - 10648*j - 6592 = 0.\nAnswer: -8, -1, 2, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/((-209)\/(-57)) + 1. Which is the nearest to u? (a) -1\/9 (b) -0.03 (c) 0.9 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -37235, -37236, -37237?\n\"Answer: -t - 37234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*h**2 - 651038 + 1302005 - 650967 + 13*h**2.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -99*l - 29. Let y be k(-3). Let v = y + -250. What is the remainder when v is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 0*y**2 + 0 + 1\/4*y**4 + y - 1\/2*y**3. What is the second derivative of v(b) wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -69*r**2 - 381244*r - 208204469 wrt r.\nAnswer: -138*r - 381244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-7)*-2)\/((-4)\/(48\/(-4))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 3*q - 24, 3*q - 11 + 2 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -0.98. Let p(a) = 497*a**2 - 82*a - 161. Let m be p(-2). Let w = -1984 + m. Is i >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from etnnjenneeeneteeddd. Give prob of sequence tnje.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.5, -1\/18, -21\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -9 + 18 - (-7 + -1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + -1)*(-7)\/(-2). Let k(t) = -4*t**2 - 9*t + 34. Let p be k(-5). Let s = z - p. Solve 4 = 2*g, u + 4*u + 3*g = -s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 22, -2\/9, 5, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 10) to base 2\nAnswer: -101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(2*(-1)\/18). Let p = w + 21. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 11*l = -138. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -720107, -720055, -719959, -719813, -719611, -719347, -719015?\n\"Answer: r**3 + 16*r**2 - 3*r - 720121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.563 and -0.3.\nAnswer: -0.1689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3984 - -3979. What is the smallest value in 2, -2, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -13. Let p = 3 - g. Let r be (-2 + p)*(-1 - -1). Solve 2*x - d + 11 = -x, -3*x - 3*d - 27 = r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*k*u**2*w + 67*k*u**2 + 2*k + 3213*u**2*w wrt w?\nAnswer: -3*k*u**2 + 3213*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33531700291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -14.4.\nAnswer: 115.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in micrometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 624260551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11528049 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/20 and 23\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -27. What is the third derivative of -60*f**2 + 5*f**2 + 181*f**6 - 190*f**6 + 3*f**g wrt f?\nAnswer: -1080*f**3 + 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -216.0684.\nAnswer: 21.60684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, -20\/3, -4\/3, -16858, 1?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 44, -40, -4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.034 - 47.034. Let h = 67 + w. Let q = -19.999956 + h. What is q rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 591133908 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (2\/3)\/((-4)\/(-12)) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 3 + 8 = -y, -4*n - 4*y = -16 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k**2 - 5*k**2 + 7*k**2)*(-9*k - 2*k - k)*(-48 + 24 + 4) to the form x*k**3 + n*k**2 + f + w*k and give x.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 60\/8*(-110)\/(-15) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + s - 4)*(-2*s + 4*s - 4*s) - 595*s**2 - 676*s**2 + 1346*s**2.\nAnswer: 73*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 5 (c) 897\/10 (d) -0.36 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 29*w**4\/12 - 5*w**2\/2 + 121*w. Let d(l) = 44*l**2 - 8. What is -5*d(r) + 8*i(r)?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*l - 25053 = -469*l + 3437 for l.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*sqrt(700))**2*1 + -4.\nAnswer: -200*sqrt(7) + 17500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -2 + 126*k**4 - 784\/3*k**3 + 0*k - 27*k**2 - 673\/30*k**5 - 9\/10*k**6 - 1\/105*k**7. Solve r(c) = 0 for c.\nAnswer: -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*i + 57 = 0, 4*f - 55 = 3*f - 5*i. Let u = 30 + f. Calculate the highest common divisor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = -2*l + 3*m - 690651, 3*m = 5*l + 1726550. Let z = -339910 - 144777. Let i = z + l. What is i rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -4, -350, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120921 = -4*r + 21*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 - 75*l**2 - 426*l + 504.\nAnswer: -3*(l - 1)*(l + 12)*(l + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2209.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 731 divided by 1?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*c - 37*c + 220. Solve y + c*v = 3*v, -4*v = 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*w, 47*s + 25*s - 4*w - 3*w = -11*s - 6*w + 85 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5 = -t + 9, -7 = t - 3*u. What is the third biggest value in t, 0, -0.35?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227765 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*g**5\/3 + 14*g**4 + 22*g**3 + 46*g**2\/3 + 4*g.\nAnswer: 2*g*(g + 1)**3*(5*g + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbhehxxhhkbbxh. Give prob of picking 1 x, 1 e, and 1 h.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/12 and -8\/8313.\nAnswer: 33252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbfoofbbhffoobo. What is prob of picking 1 h and 2 b?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 4:41 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 16. Suppose -l = -s - 5. Suppose 0 = -p - s*p. Solve c + 2*c - 6 = p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h = 23330 + 13378. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*r - 388 - 312 = 0, 4*m - r + 1355 = 0. Let n = m - -18361\/54. Sort n, 1, 4, 1\/4.\nAnswer: n, 1\/4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 204640, 204639, 204638, 204637, 204636, 204635?\n\"Answer: -k + 204641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-27868*11\/198)\/(((-40)\/36)\/5)?\nAnswer: 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*n + 4. Suppose n*r = 4*j - 25, -3*r + 0*r = j + 15. Suppose 4*z - 20 = -j*z. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mam when three letters picked without replacement from ammm?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 2832090.\nAnswer: 1\/1416045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -2*c + 2*h, 16481*c - 16493*c + 3*h + 81 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5985 and 609?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (166 - 2)*6\/24.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 8*v**2 + 3*v - 4. What are the prime factors of r(8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 107?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3228, -5299, -7370, -9441?\nAnswer: -11512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2562 - -13?\nAnswer: -2546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2131649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 c when three letters picked without replacement from {h: 1, c: 2, x: 4, p: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -19*t**2 - 12*t**2 + 54*t**2 - 20*t**2. Let q(o) = -32*o. What is s(q(b))?\nAnswer: 3072*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9776972647284 and -11.\nAnswer: 9776972647273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 9*n + 12. Let p(d) = 10*d + 25. Let g(l) = 2*p(l) - 3*r(l). Give g(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdxddxx. What is prob of picking 1 b, 1 d, and 1 x?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10012000 (base 4) to base 7.\nAnswer: -66613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29944663159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3\/2, 0.04, 4, -144?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(4\/19)*(((w*w**(-5))\/w)\/w)\/w*w**(2\/13)\/w*w\/(w*w**(2\/43)) assuming w is positive.\nAnswer: w**(-75443\/10621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(209) - sqrt(209)*-1) + sqrt(209))\/sqrt(11) + 2*sqrt(684) + sqrt(19))**2.\nAnswer: -32*sqrt(19) + 4865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37615713649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2414582812?\nAnswer: 2, 2647, 228049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -772, -759, -744, -727, -708, -687?\n\"Answer: j**2 + 10*j - 783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.7 - 15. Let r = d - 0.2. Let h = r - -1.4999948. Round h to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 10:18 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -2\/6646339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -1\/15*f**5 + 0 + 0*f**3 + 0*f + 8*f**2 - 1\/3*f**4. Determine r so that p(r) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2577071869?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 5*i + 12. Give t(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7003?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + r - 13206, 11007 = 5*v + 3*r - 22010. What are the prime factors of v?\nAnswer: 7, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 3 - 5 = -4*p, -2 = p - x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -21*k - 158 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + (1*(3 + sqrt(10)\/sqrt(2) - sqrt(5) - -1*sqrt(10)\/sqrt(2)) + 3)**2).\nAnswer: -180 - 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 - -31. Let k be 33\/(-6) - 3\/y. Let u be (-9)\/((-252)\/(-88)) - -3. Which is the second biggest value? (a) 3 (b) u (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62.10949 - -62.16. What is b rounded to three dps?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5272 - -5278. What is the closest to -13 in -2\/7, b, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 6. Determine k(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + 0*s - s)*(-16 - 33 + 4) + 0*s - 9*s + 2*s in the form u*s + g and give u.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2438244094.\nAnswer: 2, 11, 13, 8525329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qtrdy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - -8) + 52 - 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4334251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*w + 587 + 638 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63814716 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4290 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g - 19. Let j be q(7). Let f(a) = a**2 + a - 28. Let i be f(-6). Let u be 260\/12 + (i - 15\/j). Calculate the greatest common factor of u and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -4. Suppose -3*r - 3 = -2*d, 3*d - 1 = 5*r + 4. Let k = 6 - 4. Sort d, w, k.\nAnswer: d, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36124698169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 4*c**2 - 8*c - 3. Let a be -3 + 0 + -1 + -1. Give b(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r - 9. Let h be j(-3). Let b = -1 - h. Suppose 3*t + 2*u - 1 - 2 = 0, 3*t + 5*u - 12 = 0. Sort b, t, 5 in decreasing order.\nAnswer: 5, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -3, 1, -29.3, -0.4?\nAnswer: -29.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-7 - -2) - (23 + -108 + 37)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3, 12*x = 11*x - 4*y - 12. Let q be 6*((-15)\/(-18) + x). Solve q*s - s = 8, 0 = 4*z + 5*s - 22 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 10.46\nAnswer: 10.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 277955 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 5:16 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6 - c - 6 + 29 + 19 - 10. Calculate x(17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*w + 21. Let m(z) = -2*z**2 - z + 2. Calculate m(w).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*f - 67*f - 14*f**4 + (-2*f + 3 - 3)*(0*f + 2*f**3 + 0*f) + 2*f**4 - f**2 + f**2 in the form z*f**3 + t*f**4 + r*f**2 + k + n*f and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -277121, -277113, -277085, -277031, -276945?\nAnswer: -276821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + 3\/3*-2. Let p be 0\/(-1*z + 0). Is (91 + p)*1*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/36 of a hour?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6431.5 and 4.53.\nAnswer: 6436.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -15411 (base 9) to base 16\nAnswer: -292c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2398.22 and 0.1.\nAnswer: -2398.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -23. Let g = -21 - -23. What is the least common multiple of c and (-18)\/(-9) + (g - 2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2361.5 to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.2 + 1. Let n = f + -0.3. Let r = 1.94 + -2.04. Which is the nearest to 1\/2? (a) r (b) 0.06 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15275 - -30088020?\nAnswer: 30103295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**2 - 9*r - 6. Let c(g) = -g**2 + g + 1. Let d(q) = -6*c(q) - t(q). Let x(u) = u. Let j(s) = -d(s) - 6*x(s). Factor j(v).\nAnswer: -3*v*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 31*g**2. Suppose 17 = 19*y - 21. Let c(m) = 63*m - m**y - 31*m - 32*m. What is c(h(j))?\nAnswer: -961*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 + 32. Let j be (-8)\/(-1 - v) - -4. Suppose p - 31 - 13 = j. Is p a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81 + 82. What is the units digit of (-20)\/4 + n + 230?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l - l + 3*l**2. Let y(m) = 12*m**2 + 0 - 14*m**2 + 0. Determine y(g(s)).\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s**2 - 16*s - 31. Determine a(-4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -140117 (base 16) to base 6\nAnswer: -44033235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 414.4548l to millilitres.\nAnswer: 414454.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117\/64 - -19\/64. Let u be ((-3)\/(-10))\/((-54)\/(-355)). Let s = u + -2\/9. Calculate the common denominator of s and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 340 - 339.7. Put -4, a, 1\/16 in decreasing order.\nAnswer: a, 1\/16, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4093, -8197, -12301?\n\"Answer: -4104*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 3*r = -19, -73*r = 6*b - 75*r - 34 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 11:23 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + v - 1. Let j(a) = 4*a**2 - 4*a + 3. Give -2*j(u) - 7*x(u).\nAnswer: -u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 65274 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1636942 rounded to 3 decimal places?\nAnswer: 0.164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1330 - -1441. List the prime factors of z.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/4, -331, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 10*c**2 - 9*c - 19. Let z be t(11). Suppose -y + z*y = 1798. Suppose -y = -9*i + 2215. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011111 + -101?\nAnswer: 1011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*j + 12 - 3. Which is bigger: -1\/23 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z**3 + 7901*z**2 + 8*z + 16. Let q(u) = 2*u**3 + 2634*u**2 + 3*u + 6. Calculate -8*q(p) + 3*w(p).\nAnswer: 2*p**3 + 2631*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n + 11*n**3 - n**3 - 23*n**3 to the form a*n**3 + c*n + m + i*n**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011011 (base 2) in base 16?\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8042 equal to -2082572\/259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3230 is divided by 147?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2 + 7*b - 10 = 0. Calculate b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/192 and -97\/528?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 7:21 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*s + 5*d = 34*s + 18, -4*s - 14 = d. Put 8, 127, 3, -5, s in decreasing order.\nAnswer: 127, 8, 3, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150119 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 263644 by 13876.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 6)*(-53571 - 53508 + 82*v + 160492 - 53489) to the form r + j*v and give j.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(-2\/5)*p)\/p*p**(-7)\/p)\/((p*p\/(p*p**(4\/7)))\/p**(2\/3)))**(7\/4))**(1\/27) assuming p is positive.\nAnswer: p**(-188\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*c + 4 + 13, a = 5*c - 23. Suppose 2*x + c = -1, s + 4*x + 18 = 0. Do s and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/180*-4*-7*(-39)\/12285*-90.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 1) + 80 + -79 + 6 + -20\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2244 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -82741 divided by -2\nAnswer: 82741\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**4 + l**4 - l**4 + (l + 1 - 1)*(2*l**3 - 2*l**3 + 2*l**3) + 0*l**4 + l**4 - 2*l**4 - 7*l**4 + 3*l**4 + 2*l**4 - 3*l**4 + 12*l**4 - 47*l**4.\nAnswer: -36*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51300 or 51299?\nAnswer: 51299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 7. Which is the nearest to -2? (a) i (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -10. Suppose -v*c + 3*c = -5*j - 26, -c - 5*j = 14. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 820 and 0.06174?\nAnswer: 50.6268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 507, 499, 477, 435, 367?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(77))\/sqrt(11) - -2*sqrt(567))*-2 + -3)**2.\nAnswer: 240*sqrt(7) + 11209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -511.8259591 to two decimal places.\nAnswer: -511.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -7*k**2 + 14*k - 9. Let p(d) = d**2 - d. Let l(v) = -b(v) - 6*p(v). Let h be l(6). Let a = h + 5. Solve -4*c - 11 = 3*t, -a*c - 5 = -3*t + 2*c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/3)*p)**(-14)*p\/(p\/p**(-2))*p*p\/(p*p*(p\/((((p*(p\/((p\/(p\/p**(-9)*p*p)*p)\/p))\/p)\/p)\/p)\/p))\/p)*p assuming p is positive.\nAnswer: p**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*w + 121 = 5*l, 4*l - 2*w - 98 = 0. Let j = -20 + l. Let d = -2 + -3. Which is the second biggest value? (a) d (b) j (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1043, -1029, -997, -947, -879, -793?\nAnswer: -689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*s**2 + 29*s + 4 - 4 - s**2 wrt s?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/2 and 173\/6120.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 - 42. Let f = a - -2. Let b(t) = -5*t - 10. Let p be b(f). What is the smallest value in p, -2\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00017301002 to seven decimal places.\nAnswer: 0.000173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -10*p**2 - 2*p - 1. Let g(q) = 17*q**2 + 3*q + 1. Let o(w) = 4*g(w) + 7*x(w). Let j(m) = m**2 + 1. Let s = -2 + 3. What is s*o(u) + j(u)?\nAnswer: -u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*f - 4 = 0, 3*l + 8 = 2*l + 4*f. Put 2, 1, -3, l in increasing order.\nAnswer: -3, l, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-26286)\/(-10))\/(666\/(-60) + 12)*3.\nAnswer: 2, 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 x when four letters picked without replacement from xyylpslleselppp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -40. Calculate the common denominator of (-2 + 7\/3)*53 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -1.79, -225\/118?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 1 + 5. Let w be (81\/12)\/(-3) + 1. Let g = w - -3\/4. What is the third biggest value in -5\/2, h, g?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 270 - 183. Let r be (2*5)\/(3 + g\/(-27)). Are -45 and r equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63*17367\nAnswer: -1094121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -113645, -227251, -340815, -454337?\n\"Answer: 21*p**2 - 113669*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15456 or -15457?\nAnswer: -15457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, q: 4, g: 11}. What is prob of sequence gqu?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + g = -0*g + 598, 3*g + 246 = 2*r. Suppose -d - q = 2*d - 64, 5*d = -5*q + r. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*r - 139, 5*r - 5*t + t - 144 = 0. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -145 + 172. What is the least common multiple of d and 2?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*1 - (-5735)\/775?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 14, i: 1, m: 2}. What is prob of picking 1 m and 2 e?\nAnswer: 91\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q. Let y(u) = 4*u**2 + 45 + 0*u**2 + 4764*u + 57 - 4764*u. Determine y(p(b)).\nAnswer: 36*b**2 + 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-3\/7)\/t))**(-1)\/(t*t**3)**(8\/5) assuming t is positive.\nAnswer: t**(-309\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 u when two letters picked without replacement from {u: 3, r: 1, y: 5, o: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-10))\/((-6)\/20). Suppose -d*p - 21 = -1. Let z be (-13)\/(-21) + 2\/(-7). What is the nearest to 1 in z, -3\/7, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**3 + 39750*t**2 + 556941*t + 1949808 = 0.\nAnswer: -7, 13264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9756 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 24 = 3*u. Let d be u*1*(-12)\/36. Let l = -2 - -5. Put 0, d, l in decreasing order.\nAnswer: l, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.208 less than 0.57?\nAnswer: 0.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 12:18 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(-255)*135\/9)\/((-14)\/20)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 635, 2866, 7253, 14354, 24727, 38930, 57521?\n\"Answer: 93*f**3 + 520*f**2 + 20*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/6 - 37567*m**2\/6 + 352913771*m\/6 - 1763629805\/6.\nAnswer: (m - 18781)**2*(m - 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1957\/45 + -332\/9. Which is smaller: 6 or t?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 e, and 1 u when four letters picked without replacement from euwuuewuewwuwuuwuuw.\nAnswer: 63\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.12 + -0.18. What is the nearest to -3 in 0.2, f, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.66745 rounded to two decimal places?\nAnswer: -1.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhkhfkhfhhkh. Give prob of picking 2 k.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**6\/36 + s**5\/6 + s**4\/24 - 7*s**3\/6 - 3*s**2\/2 - 8914. Factor y(b).\nAnswer: b*(b - 2)*(b + 1)*(b + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 226, 450, 670, 886, 1098, 1306, 1510?\nAnswer: 1710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 4100.\nAnswer: 16400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7803.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1028 divided by 235164\nAnswer: -257\/58791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**5 - 2472*l**4 - 1484838*l**3 + 53297608*l**2 - 51810297*l = 0 for l.\nAnswer: -1253, 0, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25417 <= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108051579.\nAnswer: 3, 12005731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*m + 88 = 15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 2390687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -10. Suppose 8*q = d*q - 72. What are the prime factors of (-28)\/(-6) + 12\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/1)\/((-6)\/10). Suppose 5*h = m - 28, -2*h = 3*m - s*m + 16. What is the lowest common multiple of 11 and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -4\/5 (b) 4\/3 (c) -2.2 (d) -0.595 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000041976 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_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: Evaluate (-2)\/(-18) - 2\/900*40.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**3 - 6*z**3 + 9*z**3 - 6*z**3 - 4*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from {e: 11, v: 1, q: 6}?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 49.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225 and 32100.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -892, -3560, -8006, -14230, -22232, -32012, -43570?\n\"Answer: -889*a**2 - a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*v - 12 - 10 + 4*v**2 - 2*v**2 + 18 to d*v + c + z*v**2 and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 151, 134, 115, 94, 71, 46?\n\"Answer: -n**2 - 14*n + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*x + 3*x**4 - 29 - 21*x**3 + 22 - 56*x + 2*x**3 + 16 as z + o*x**4 + j*x + s*x**3 + l*x**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/9))**33\/((x*x**(-6))\/x**(2\/21))*(x\/(x\/x**1))**(-1\/51)*x\/x**(-1)*(x**(1\/3)*x*x)\/x assuming x is positive.\nAnswer: x**(5620\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56702307 to the nearest integer?\nAnswer: 7530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 128, -2, -1, 7115 in descending order.\nAnswer: 7115, 128, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i**(-7\/5)*i)\/i))\/(i**(-23)\/i*i))\/(i\/(i*i\/(i*i*((i\/(i*i*i**(-10)))\/i*i)\/i*i))*i*((i\/i**(-16))\/i)\/i))**(3\/10) assuming i is positive.\nAnswer: i**(-9\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2479*p**2 - 21*p + 318. Let o be r(19). Round o to the nearest 10000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6 at most as big as 4\/8811725?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/92 + 191\/644. Let j = 78.5 - 79. Put j, d, -5 in ascending order.\nAnswer: -5, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**4\/24 - j**3\/2 - j**2. What is h(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2750295450 to the power of 1\/2, to the nearest integer?\nAnswer: 52443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 4*o + 3. Let s be i(4). Suppose -3*r + x = 15, x = -4*r - 0*r - 27. Calculate the common denominator of s\/r - (-2)\/(-8) and -9\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6365755497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-four fifths of a decade?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v + 11. Let p be m(3). Suppose 3*a - 16*l - 917 = -15*l, 0 = 2*a - p*l - 614. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.009677 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a factor of 36816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1668018 and 54?\nAnswer: 90072972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2348, 2334, 2320, 2306, 2292, 2278?\nAnswer: 2264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 161*r + 2756. What is a(-17)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 6)*(-4*r + 55 - 55) - 2*r + 3*r - 4*r - 17*r + 1 - 1.\nAnswer: -56*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3490128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 27, 61, 89, 105, 103, 77, 21?\n\"Answer: -y**3 + 3*y**2 + 32*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 c when four letters picked without replacement from {c: 2, q: 4, b: 2, w: 2, u: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*a**4 + 2*a**3 - 54*a**4 - 52*a**4 = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*w + 46*w + 56 = 0. Solve -18 = 26*a + w for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 2000010010?\nAnswer: -2000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/5, -4, 2\/11, 14, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 4:52 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73935118.\nAnswer: 2, 19, 1945661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 347831711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165956725 divided by -1681.\nAnswer: -98725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b - 8806 + 364. List the prime factors of b.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**6\/360 + w**5\/10 + w**3 + 3*w - 58. Let o(i) be the third derivative of b(i). Find m, given that o(m) = 0.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -0.4, 76, 89\/5, 0.3, -49\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 805554 and 2416663\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 divided by 5.\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4322126 plus 0?\nAnswer: 4322126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 5. Let h be l(4). Let f(z) = z + 15. Let j be f(-11). Suppose -h = -j*b + 79. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1712 - 11951\/7. Find the common denominator of k and -17\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 45, 1 in descending order.\nAnswer: 45, 7, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1687 - 2419 + 4840)*(-1 + 2*y + 33*y - 14*y) to h*y + a and give a.\nAnswer: -734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-8) - 195\/(-6). Let n = -76 - -135. Let p = n - j. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 84.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 + -1 - (-7 + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13 - -7 - 1) + 13. Let t be (-2)\/3 + ((-416)\/(-39) - y). Solve t*s - 20 = 4*x, -s + 0*x = 4*x + 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 9*y + 1. Let n = 2 + -2. Suppose -3*u = -n*u - 27. Is c(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*f - 2, -5*u - 3*f = 21. Let t = -6 + 3. Does t = u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 3 + 1 + 1\/5. Which is smaller: 2\/7 or g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 4. Let s be (z*1\/(-2))\/2. What is the second derivative of 4*o**5 - 3*o**2 + 3*o**2 + s*o wrt o?\nAnswer: 80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**4\/20 - 7*y**3\/10 + 9*y**2 - 85*y + 280. Let t(h) be the first derivative of s(h). Solve t(u) = 0 for u.\nAnswer: -10, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1263 + -527. Suppose -3*v - 163 + j = 0. List the prime factors of v.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 + 0.2. Which is the closest to z? (a) 0.3 (b) 2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -280, -287, -284, -271?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/97, 7325, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - 3.4. Let j = -343 + 341. Which is the nearest to 1? (a) 0 (b) t (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**4\/12 + 7*v**3\/6 + 2*v**2 - 11*v. Give z(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3813 - -3823. Suppose -16*r + 12*r = -200. What is the lowest common multiple of t and r?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 76512271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1051440*x**5 + 3*x + 146282.\nAnswer: -21028800*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**2 - 3*w. Suppose 88*i = 80*i + 32. Let j(k) = k - 4*k**2 + 3*k + 3*k**3 - 4*k**3. Give i*h(q) + 3*j(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7363918?\nAnswer: 2, 173, 21283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -316ccc6?\nAnswer: 316ccca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*y - 3639*y**2 - 737*y**2 - 179*y - 5217*y**2.\nAnswer: -9593*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, m: 4, q: 3}. What is prob of sequence yy?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-3078)\/(((-408)\/(-52) - 2) + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 78*l**2*y - 396*l**2 + 2*l*y - 202959*y - 216176 wrt y?\nAnswer: 78*l**2 + 2*l - 202959","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 236247082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 287.7262 and 0.08.\nAnswer: 23.018096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert b50063 (base 12) to base 2.\nAnswer: 1010110101100101001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**5\/60 + k**4\/3 + k**3\/2 + 2*k**2. Give z(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18975)\/5313)\/((-5)\/21)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = v - 26. Suppose 0 = 5*c + p - v, 3*c - c + 2*p = 10. Let o(b) = 3*b**2 - 3*b. Give o(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + sqrt(500)).\nAnswer: -10*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**3 - 653814*l**2 - 653788*l + 7845744 = 0.\nAnswer: -326906, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**5\/100 + 25*w**4\/8 - 62*w**3\/5 + 1997*w**2 - 2*w. Find c such that q(c) = 0.\nAnswer: 1, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2646349mg in micrograms?\nAnswer: 264.6349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -2282\nAnswer: -4\/1141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**19\/p*p**(2\/43)\/p assuming p is positive.\nAnswer: p**(733\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 4 (c) 1\/41 (d) -0.052\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2565 - -7322292.9\nAnswer: 7319727.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -73 at most -73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 29*j**6\/360 - j**3\/3 + 16*j. Let p(n) be the second derivative of k(n). Let l(t) = 2*t. Determine p(l(o)).\nAnswer: 116*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m**3 - 6*m**2 - 28*m. Let o(p) = -83 + p**3 + p**2 + 160 - 77. Let r(i) = d(i) + 5*o(i). What is the second derivative of r(k) wrt k?\nAnswer: -12*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8d3 + 21?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 0 - -7) + -6 + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 55*q**4\/24 + 5*q**3\/2 - 10406*q**2. Let g(a) = -a. What is g(i(j))?\nAnswer: -55*j - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m**2. Let u(s) = 5*s + 14*s - 11*s - s. Calculate u(d(y)).\nAnswer: -42*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 169.333578ns?\nAnswer: 0.000000000001959879375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527 + 9625*f**3 - 527.\nAnswer: 9625*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (52\/(-8))\/13*4\/(-6). Which is the biggest value? (a) -2\/13 (b) -1.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163845 to the power of 1\/2, to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 3:16 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 235 and 188?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 1. Let j be s(0). Let l(n) = -n + 1. Let w(h) = 8*h + h - 2*h - 5. Let v be (-2)\/(-5) - 46\/(-10). Give j*w(d) + v*l(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.02, 4, -0.06 in decreasing order.\nAnswer: 4, -0.02, -0.06, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -128 + 386\/3. Sort 0.18, -0.4, h in ascending order.\nAnswer: -0.4, 0.18, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 89, 2, 3?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**3\/5 - 51902*m**2\/5 - 673558193*m\/5 - 2693402404\/5 = 0.\nAnswer: -25949, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i**3 + 16*i**2 - 27*i - 88. Let l be x(-4). Solve -39*h + 19*h + l = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 12*p + 11. Let f(z) = -z + 1. Let u(a) = -2*f(a) + x(a). Calculate u(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - q = 3. Let t(x) = x**3 - 3*x**2 - 2*x - 3. Let k be t(4). Suppose -3 = -k*g + w, 9 = -4*g + 6*g - 3*w. Which is smaller: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 12 + 4 + 8 - -17\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2 + 8*d + 1. Let o = 3 + 10. Let f(a) be the third derivative of -a**5\/15 + 17*a**4\/24 + a**3\/3 - 9*a**2. Give o*w(c) - 6*f(c).\nAnswer: -2*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -104, 4.\nAnswer: -104, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*m - 444555 - 379665. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(-2 + 0 + 0)*(j + 0 + 0 + (-4 - 2*j + 4)*(-1 + 0 - 5))*(-2*j - 1 + 1).\nAnswer: -104*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 + 2*z - 2. Let k be s(-2). Suppose -5*w + 25 = r, 0*w - k*r = -w + 5. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 94?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnh. What is prob of picking 2 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 1. Let w(l) = l**2 - 2. Let q(s) = -2*c(s) - w(s). Suppose 0 = 2*r - 4*i + 6, -4*r - 3*i - 378 + 366 = 0. Give q(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*y - 11861 = 76*y. Calculate the remainder when y is divided by 129.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1593324 (base 10) to base 16\nAnswer: 184fec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2\/9)*k*k**5)\/(k*k**(-1\/6)*k*k**(-1\/3)))**(-38))**2 assuming k is positive.\nAnswer: k**(-2926\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34824104 a multiple of 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5 - 6 + (0 + 2 + 0)*(-2 + 2 - 2) - 4 - 1 + 2 + (-1 + 1 - 1)*(-2 + 2 - 4))*(-s + 0*s + 2*s).\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -2\/5 (b) -1\/20 (c) 2\/7 (d) -5\/26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y - 4*y - 12 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -18. What is the lowest common multiple of i and 52?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 346418 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162)\/sqrt(36).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4 + (-13179)\/(-9))\/(100\/60) is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fq when two letters picked without replacement from {f: 9, q: 2}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4, 5 in descending order.\nAnswer: 6, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 9838321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000027992 rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -4. Suppose 3*y - 3*r + v = 22, 5*r = 2*y - 5. Suppose 0 = -3*f + 107 + 13. What is the highest common divisor of f and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4100*m = 4078*m + 550 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3492344 (base 11) in base 7?\nAnswer: 102536655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*w**4 - 4*w**2 + 2*w - 2*w + 6*w**4 wrt w.\nAnswer: 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -9 + 11 + -4 + (-8 - 0)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -12*v. Let y(n) be the third derivative of 2*n**2 - 2\/15*n**3 + v + 3\/20*n**4 - 7\/150*n**5 + 0*n. Factor y(p).\nAnswer: -2*(p - 1)*(7*p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59882 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 8*g**2 - 4*g + 8. Let a be 16\/(-2)*(-3)\/3. Let d = -2\/4087 + -130762\/44957. Calculate the common denominator of d and c(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38776717033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2028 + 2028 + 2*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2876 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10871 is divided by 128.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/7*49\/(-21)*-2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -1492?\nAnswer: 1\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-9)*(-2)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -71. Let o = i - 7. What is o rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24370*c + 299 = 24383*c for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 0*a**2 + a + 4 - 4 + 0*a**2. Let q(n) = -7*n**3 + n**2 + 6*n + 1. Determine 6*i(g) - q(g).\nAnswer: g**3 - g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -31*d**3 - 2076*d**2 + 69*d + 332. Let a be m(-67). Let n(k) = 15*k**2 - 3*k. Let c be n(2). What is the greatest common factor of c and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 6*v + 0 + 7 + 5*v.\nAnswer: -v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**16\/z)**25\/((((z*z\/(z*z**(-30)*z))\/z)\/z)\/z**(-5\/2)) assuming z is positive.\nAnswer: z**(689\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -133, -157, -197, -253, -325, -413?\n\"Answer: -8*q**2 - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4124*p**2*q**2 - 72*p**2 - 4*p*q**2 - 1688*p + 2*q**2 + 2 with respect to q.\nAnswer: 8248*p**2*q - 8*p*q + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + sqrt(20)\/sqrt(4) + -5).\nAnswer: -6*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 780 - 780.5. What is the closest to -2 in 2\/7, z, 1\/2, -1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -410402 - -23412?\nAnswer: -331440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.43359 and -0.20155.\nAnswer: -1.63514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4053015 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 112\/3. Let m be 1\/(3*(-3)\/(-18)). Let w be (m + (-50)\/24)\/((-1)\/2). Sort h, 0, w in increasing order.\nAnswer: h, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a centimeter in millimeters?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 120010 (base 3) in base 11?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -14*w + 6. Let f be y(-5). What is the highest common factor of 38 and f?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 + 500*z\/3 + 17632.\nAnswer: (z + 152)*(z + 348)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -114, 612.\nAnswer: -114, -2, 612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*t**2 - 3\/2*t + 0.\nAnswer: -t*(t + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 5*o + 2*m - 25, -3*o - 3*m = -27 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2535815228 to the nearest integer?\nAnswer: 50357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -763134 (base 11) to base 13.\nAnswer: -339016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -38. What is the greatest common divisor of b and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2049452 divided by 5?\nAnswer: 2049452\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -67 and -725842041?\nAnswer: 725841974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 25 + 11. Let i(h) = -h**3 - 10*h**2 - 10*h - 5. Let v be i(m). Which is the closest to 1\/4? (a) 2\/9 (b) v (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((7 + -8)\/1)\/(1\/(-1693)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -98*i + 103*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6606826 divided by -178\nAnswer: -37117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 4\/1181 (b) 0 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/95282 and -65\/60634.\nAnswer: 666974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 255370 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 154912, 309824, 464736, 619648, 774560?\n\"Answer: 154912*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 229511568?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 2*q**2 - 5*q + 1. Let w(f) = f**2 - f + 1. Calculate r(i) - w(i).\nAnswer: i**3 + i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*t - 21 = 5*t, 2*t = 2*h - 42. Calculate the remainder when -3 + (-948)\/(-20) - 3\/(-5) is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15655, 9296, -1309, -16166, -35281, -58660?\n\"Answer: -w**3 - 2117*w**2 - w + 17774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 4:30 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -86360, -86246, -86150, -86078, -86036?\n\"Answer: -y**3 - 3*y**2 + 130*y - 86486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1486, 6104, 13814, 24628, 38558?\nAnswer: 55616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 2*w**2 + 3*w - 2. Let n be -7 - (0 + 1 + 0). Let c(h) = -h - 16. Let k be c(n). Let u be 12\/(-18) + k\/(-3). Determine f(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s + 6. Give i(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -44777740 divided by 4756\nAnswer: -9415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -175 - -166.1. Let n = -9 - f. Which is greater: 0.1 or n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -79759, -159551, -239345, -319141?\n\"Answer: -v**2 - 79789*v + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -19*j**2 + 2*j + 1. Let x be b(-1). Let u = x + -26. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*153948.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112815 to the power of 1\/2, to the nearest integer?\nAnswer: 1454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 7*f**2 - f - 6. Let u be w(-7). Let h = -939 - -939.2. Which is the nearest to u? (a) 83 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -239 - -383. What is the highest common divisor of w and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 6173 = 17237. List the prime factors of n.\nAnswer: 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3832 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3 = -5. Let f = 58 - 33. Let l(n) = -6*n - 3. Let p be l(-1). Solve -p*d - q*d + f = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/12*4 - (-2)\/(-3). Let l be (-1)\/((44\/(-20) - -1) + a). Suppose -l*m = -9*m + 3*m. Let p(z) = z - 5. Determine p(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559067?\nAnswer: 559067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -125 (base 8) to base 12\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -33*l - 4523. Calculate p(-143).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 2*o**2 - 4*o + 5. What is z(-4)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1.2 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02043744861 to four dps.\nAnswer: 0.0204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 604 = -3*s + 857, 4*y = -5*s + 5830. Is y a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3561716 + -3561701.49859. Let o = -14.5 + z. Round o to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2330 (base 7) in base 10?\nAnswer: -854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -15\/17, 0.4, 4\/9, 0.049?\nAnswer: -15\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/152 and -21\/5.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 8*r. Let z(y) = y**2 + 7*y + 25. Let j be z(-5). List the prime factors of l(j).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 939 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: In base 5, what is -2 + 3144?\nAnswer: 3142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005015 to 5 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 217318030 to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 3*b. Let u(q) be the second derivative of -q**5\/20 - q**4\/12 + 15*q**2\/2 - 315*q. Give u(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55965 divided by -3\nAnswer: -18655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(21875\/50))\/((-2)\/(-30))?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -849*v**3 + 7513*v**2 - 4*v - 439567.\nAnswer: -5094*v + 15026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f**2 + 2*f - 32. Let d(w) = -36*w**2 + 12*w - 222. Let q(j) = 2*d(j) - 15*v(j). Is 46 a factor of q(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 700014 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/28)\/(1424\/(-56)). Put 0.2, 0.6, w in descending order.\nAnswer: 0.6, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b + b - b**2 + (-5 + 5 - 2*b)*(-b + 0*b + 0*b) + 0*b + 0*b - 2*b**2)*(1 + 1 + 2) + (-3*b + 20*b - 3*b)*(1 - 1 + b) to l + a*b + r*b**2 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5c4 (base 15) to base 7\nAnswer: -3550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.9 - 16.1. Let w = 2.3 - v. Is 2 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 88*g - 85*g + 40, -4*t - 5*g - 45 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 2. Suppose -4*v + 8*v = -32. Let f be x(v). Suppose f = 3*w - 176. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 171\/(-24) - 49\/(-7). What is the fourth biggest value in q, 1\/4, -1\/22, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-25 + 17 + -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*d - 2 + 106*d**4 + 2 - 105*d**4 + 11*d**2 to t*d**4 + z*d**3 + g*d + r*d**2 + n and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 106 + 8106 + -8202\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 98742 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 3*w**2 + w. Let m be b(-3). Let n = 757 - 752. Sort m, n, 2, 37 in decreasing order.\nAnswer: 37, n, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -66*t**3 + 1077*t**2 + 4965*t + 5202. Let y(h) = 5*h**3 - 83*h**2 - 382*h - 400. Let l(o) = 2*v(o) + 27*y(o). Factor l(n).\nAnswer: 3*(n - 33)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k - 984 = -680 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -52*j - 16 + 99*j - 2*j**2 - 72*j. Calculate s(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 546 and 2489466.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/7)*g*g**(-2\/5)*g\/(g\/g**(1\/8))*g**1*(g**(-3)\/(g\/(g**(-3\/4)*g)))\/(g**(-2\/7))**8 assuming g is positive.\nAnswer: g**(-1\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15456 and 40848.\nAnswer: 571872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (2 - 0 - 6). Suppose 0 = 3*w + 5 - 29. Calculate the greatest common factor of n and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50866 + 50872. Let v(d) = -2*d**3 + 8*d**2 + 14*d + 6. Let u(x) = -x**3 + 4*x**2 + 7*x + 3. Let r(h) = 7*u(h) - 3*v(h). What is r(i)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25094 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/4891 + -13902\/1256987. Let g = h - 248\/771. Which is the closest to 0? (a) 15 (b) g (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**4 + 1881880*z**3 - 9409276*z**2 - 11291160*z = 0. Calculate z.\nAnswer: -1, 0, 6, 470465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2013216647.\nAnswer: 13, 139, 419, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 9*b**2 - 7*b - 3. Let u(o) = 8*o**2 + o - 1. Let w(n) = 4*n**2 - 44*n + 1. Let i be w(11). Let l be u(i). Give t(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3 - 4*c**2 + 6*c = 0. What is c?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27429 + 27430.5837. Let j = m - 1.59. Round j to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (-4)\/2 + 72\/(-48). Factor 0 + 1\/4*z**2 - k*z + 1\/4*z**3.\nAnswer: z*(z - 1)*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*i - 5*b - 76, 5*i = b - 74. Calculate the remainder when 250 is divided by (-42)\/(-4)*(-11 - i).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -12 + -2 + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4167 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/1*(-18)\/45. Suppose g*o = 6*o - 340. Does 19 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 1) + (-30 - -65) + -23.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -266.7 + 304.7. Which is the second biggest value? (a) m (b) -8 (c) 3\/2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 6*m**2 + 8*m + 3. Determine n(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7962 + 175?\nAnswer: -77a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 383976606 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-135)\/54*(-96)\/20)\/(50\/25)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -699*j + 34550 = 17774 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-10)\/(-36)*(-6)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (3 + -25) - (-24)\/8. Let v be w*(6\/(-9))\/(-1). Solve 4*t = y - v, -3 = t - 2*y + 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1181 + -0.015. Round b to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 9:48 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2394343840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - o = -234 + 242, 0 = 3*u + 5*o + 14. What is the highest common divisor of 214 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 + -2 + (1 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1715*c**2 - 1073*c**2 - 647*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 101010111110 (base 2) to base 5\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1802, -1803, -1804, -1805, -1806?\n\"Answer: -u - 1801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 76 (base 9) to base 4\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -818178793\/1032 + 792809. Find the common denominator of v and -93\/28.\nAnswer: 7224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -2, -780 in increasing order.\nAnswer: -780, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 130, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-4) - 11\/((-121)\/(-407))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 12:21 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -10*l + 5. Let z = -114 - -117. Suppose -z*w - 31 = 4*f, 3*w + 2*w + 29 = -f. Does 8 divide v(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 11:23 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from icmmchgcch. What is prob of sequence gh?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-225)\/(-125)*15\/9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123775.\nAnswer: 5, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64020 and 23580700?\nAnswer: 70742100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhgengrb. Give prob of sequence eb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 4*l**2 - 149*l + 149*l in the form q*l + b*l**2 + w and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 + 3.96. Let r = j - 4. Let p = 0 - r. Put -0.2, 5, p in decreasing order.\nAnswer: 5, p, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-468))\/(27\/(-108))*225?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 167224.5246 - 0.318?\nAnswer: 167224.2066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 13*l + 49. Let b(y) = 5*y + 24. Let o(s) = 10*b(s) - 4*d(s). Let h be o(14). Let f be 4*16 + -2 + 2. Calculate the highest common factor of h and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*d + 4 = 0, 5*q + 3*d - 1 + 4 = 0. Let y be ((-4)\/(-6))\/((-1)\/3). Is q\/6*(-6 - y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3755.479 litres in millilitres?\nAnswer: 3755479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4430110451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 3:53 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59902*i**3*y + 34161*i**3 wrt y.\nAnswer: 59902*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 7 - 23 = 0. Let d(u) = u**3 - 8*u**2 - u + 5. Let z be d(p). Which is smaller: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. Suppose 6*f - f - a*h - 16 = 0, 4*h + 2 = -5*f. What is the third derivative of 0*j**5 - j**f + 0*j**5 - 3*j**5 wrt j?\nAnswer: -180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 107414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/9))**12)**(2\/103) assuming a is positive.\nAnswer: a**(8\/309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, t: 3}. Give prob of picking 2 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -q - 34 - 5*q**3 + 4*q + 17 + 99*q**2 + 7*q**3 + 15 as y*q**3 + c*q + z*q**2 + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + 10. Let i = g - 17. Solve j = -5*b - 3, 2*j + 5*b + 1 + i = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*m + 35*m - 13750 = -54*m. Calculate the remainder when m is divided by 201.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 11. Calculate the lowest common multiple of i(0) and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/2)\/(74\/(-1184)). Solve -5*n - 9 = u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -514, -1101, -1742, -2443, -3210?\nAnswer: -4049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -126, 110, 508, 1068, 1790, 2674, 3720?\n\"Answer: 81*w**2 - 7*w - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -11. Let d(r) = -r**3 - 6*r**2 - 9*r. Let z be d(-4). Suppose -4*w - z = -6*w. What is the smallest value in 5, w, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25015 in -1\/3, -0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 + 8. Let z = v + -90. Let a be (1 + -1)\/(51\/z). Solve -2*t - 2 = -a*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34 in -1\/5, 989, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**3\/3 - r**2 + 3*r - 3. Let d(y) be the first derivative of k(y). Let u(o) = 3*o + 2. What is 4*d(x) + 3*u(x)?\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2*sqrt(425)*5)**2 - (-2 + 0 + sqrt(425))**2 - (1 + -2*sqrt(425)*3 + sqrt(425) + sqrt(425) + 4)**2) + 2.\nAnswer: 1100*sqrt(17) + 176232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 1:07 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 13*t + 13. Let z(x) = x**3 + 3*x. Let u be z(2). Suppose -2*h - 2*q + 2 = -0*h, 2*h - 4*q = u. What is the least common multiple of 4 and d(h)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -246.299.\nAnswer: -243.299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 16 = -y, 0 = -1444*y + 1449*y + 4*f - 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 137074 and 180229.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 40 = 5*y. Suppose 5*u - y = 3*u. Suppose 0 = -5*h + 3 + 12, 2*h + 194 = u*q. Does 20 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 28*c = -4*c + 231 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 + 10*r + 33. Let y be u(-4). Solve 7*h = 2*h + y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l + 14. Let h be j(7). Suppose -7*n + 4*n + 129 = h. Let r = -42 + n. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43.724314 + -2.721454. Let q = l + -41. What is q rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 5. Let w(q) = q + 1. Let k be w(-1). Let t = 4 + k. Which is the third smallest value? (a) -1 (b) t (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*z - 5*d, -7*z - 4*d - 3 = -35. Sort z, -6, 218 in ascending order.\nAnswer: -6, z, 218","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29255585*h**4 - 666*h**2 - 6065*h wrt h.\nAnswer: -702134040*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 801151776, 801151775, 801151774, 801151773, 801151772, 801151771?\nAnswer: 801151770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43560 and 79244.\nAnswer: 78451560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 387574 (base 10) to base 6.\nAnswer: 12150154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-6 + 2 + 2)*(-62 + 58 + 57) + 1 + 2 - 4)*(5*g**2 + 2*g**4 + 16*g**3 - 16*g**3) to t*g**3 + r*g + k + n*g**2 + u*g**4 and give n.\nAnswer: -535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*n = -0*n + 1, -5*f + 19 = 3*n. Suppose -d + f*g = -6*d + 10, 3*g = -3. Solve -t = -d*y - 5, y - 5*t - 1 = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 + 4*l**4 + 5*l**4 + (-24*l + 24*l + 2*l**3)*(6*l - 3*l - 2*l).\nAnswer: 10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3561 is divided by 132?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -394938, -1579914, -3554868, -6319794, -9874686, -14219538, -19354344, -25279098?\n\"Answer: v**3 - 394995*v**2 + 2*v + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379204689.\nAnswer: 3, 5711, 22133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 4, 792?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 141 divided by -38\nAnswer: -141\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 79654 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701502?\nAnswer: 2, 3, 43, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7197 - 19326.8438?\nAnswer: -19328.5635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 + 42. Let b(d) be the first derivative of z*d**2 + 1 - 3\/2*d**4 + 2\/3*d**3 + 8*d. Factor b(t).\nAnswer: -2*(t - 2)*(t + 1)*(3*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16132 - 8671. What are the prime factors of q?\nAnswer: 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000707871372 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 19*y - 30. What are the prime factors of z(16)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-27)\/15)\/(6\/(-10)). Suppose y*f + 25 = 4. Let h = -61 - -61. Which is greater: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 35 + 4 + (-26 + 13 - -5 - -18).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(39)*1)\/(-2*sqrt(300)))**2 - (-5*(sqrt(208) - (sqrt(208) + 3 + sqrt(208) + 0)))**2.\nAnswer: -2169987\/400 - 600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2518 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -430 - -3311312?\nAnswer: 3310332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 99343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -a - 6*a**4 - 2*a**4 - 6*a**4 + 0*a + a**4 + 0*a + (2*a**4 - 3*a**4 - a**4)*(-5 - 2 + 6) in the form p*a + k*a**4 + m + z*a**2 + g*a**3 and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 4, 2\/5, -0.4, -0.1 in decreasing order.\nAnswer: 59, 4, 2\/5, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - d - 45. Let j = d - 1. Let q be (-4)\/j - 254\/(-7). Calculate the highest common divisor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*t**4 - 223*t**3 - 2*t**2 - 1768*t.\nAnswer: -96*t - 1338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 23.984489*15\nAnswer: 359.767335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z**2 - 15*z**2 + 43*z**2.\nAnswer: 38*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/7, 3, -2, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 4)*(-w + 2*w + w) - 3 + 3 - 2*w - 8*w + 9*w - 10*w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*c = -6*c + 1045, -4*l + 4141 = -c. Is l a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6*c - 277. Determine w(-20).\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-10)\/(-40))\/((-2)\/8) - 15.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * -16773489\nAnswer: -1174144.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 564 and 12176?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -2651, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q - 6 = 19*q - o, 5*q - 3*o = 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*k**3*r*y + 107*k**3*r - k**3*y - k**2*r*y - k**2*y - 5*k**2 + 2*k*r*y + 56*r wrt k?\nAnswer: -114*r*y + 642*r - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 equal to 0.168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l = -u - 10*l + 9, 3*l + 14 = 4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -6300064?\nAnswer: 6300062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/4 and 39\/2606?\nAnswer: 5212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -1 - 1 + 4. Suppose -2*w = 5*v, 51*v - 5*w = 47*v + 33. Let n(m) = m + 2. Determine v*n(z) - d(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 6, k: 13}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -135*p**4 - p**3 + 220*p**2 wrt p?\nAnswer: -3240*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 400115 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 44, 93, 128, 143, 132, 89, 8?\n\"Answer: -q**3 - q**2 + 59*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.55884486 to three decimal places.\nAnswer: 3.559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.154 rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6*n**2 + 151 + 4*n**2 - 151. Let o(q) = 61*q - 1. What is w(o(y))?\nAnswer: -7442*y**2 + 244*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-35)\/(-3)*((-60396)\/(-105) - -11).\nAnswer: 7, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.1665 - -2.87. Let k = b - -1246.2965. Let s = k - 1245.9999389. Round s to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6885*n*t**2 + 10*n*t + 44*t**2 + 37132*t wrt t?\nAnswer: -13770*n + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 627*k + 11099. Does 11 divide p(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(65) + (sqrt(65) - sqrt(65)*2)) - sqrt(65))\/(sqrt(60)\/sqrt(108)).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -21*s - 2. Let b be j(-3). Let k be 14\/21*279\/(-6). Let t = k + b. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 5*f = 18, -30*f + 15 = -27*f for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - -22.7. What is the second biggest value in -4, m, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 540\/630*(-252)\/(-8)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2. Let m(j) = 41*j**2. Let k(n) = 21*n**2. Let c(f) = -5*k(f) + 2*m(f). Give c(g(l)).\nAnswer: -92*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0.7, 671.608?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -18*h + 59. Let d be y(3). Suppose d*q + 3*f - 15 = 0, -2 = -3*q + f + 7. Solve 0 = w + q - 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0 - (6 + -7)) + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 9*b + 4. Let y be j(-3). Let z = -91\/4 - y. Suppose 1\/4*h**3 - z - 3\/4*h**2 + 3\/4*h = 0. What is h?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c. Let j(r) = -23*r**2 + 45052. What is a(j(d))?\nAnswer: -92*d**2 + 180208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m - 19. Calculate f(9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79312 or 79332?\nAnswer: 79312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29565089179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p**2 - 10. Let f(z) = 3*z**2 + 9. Calculate -2*d(k) - 3*f(k).\nAnswer: -k**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/(((-16)\/(-66))\/4). Let k = 430 + b. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 - 6*s**2 + 4*s**2 - 7*s**2.\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -385d9e (base 15) to base 8.\nAnswer: -12237342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggcccgccccgccccccccc. Give prob of sequence gccg.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2813138 - 1648138. Round s to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/128194076?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16406 divided by 16406.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 138720 rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 277991 and 4077.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4683523 or 4683534?\nAnswer: 4683534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -217, -1, 5, 0, 3, -3460 in increasing order.\nAnswer: -3460, -217, -1, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/6 + (18 - (-8463)\/(-441))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 32901, 65799, 98701, 131607, 164517?\n\"Answer: 2*b**2 + 32892*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 minus 22?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3200 and 4394300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, 226, -5 in ascending order.\nAnswer: -12, -5, 3, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 l when two letters picked without replacement from tlmxrtt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -1\/4, 45, -6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, v: 5, y: 8}. What is prob of picking 1 y and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -205073117, -205073118, -205073119, -205073120, -205073121, -205073122?\nAnswer: -205073123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + c = -4, c + 2*c = 5*v - 16. Suppose 0 = 3*s - s - 8. What is the second derivative of g**4 + v*g + 2*g**4 - 4*g**s wrt g?\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - 32535206*f**2 - 2*f**3 + 32535193*f**2 - f**3 + 3 in the form v*f**2 + k*f + j + d*f**3 and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -51880 and 1436376.9?\nAnswer: 1488256.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 6) to base 15\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.82 - -0.82. Sort 0.5, 4, 8\/3, b in increasing order.\nAnswer: b, 0.5, 8\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -0.09. Let x = -3\/4402 - -8837\/48422. Which is bigger: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 4\/7, 2, 0.4 in descending order.\nAnswer: 2, 4\/7, 0.4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84746, -84683, -84578, -84431?\nAnswer: -84242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -53 (b) -2\/253 (c) 2178.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/5*(-1 - 9) - -2. Let a be (k + -16)\/2 - -5 - -1372000. What is a rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 166*y**2 - 2*y - 8. What is the units digit of w(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -b + 28. Suppose -147 = 1434*f - 1455*f. Let z(d) = -d**2 + 8*d - 7. Let o be z(6). Solve -3*a + 0*y = y + f, 3*y = o*a + b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 337.6 + -336.6. Which is the closest to t? (a) 5 (b) 1\/40 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {p: 2, s: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -157, -0.631, -0.1 in increasing order.\nAnswer: -157, -0.631, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84257 - 84258. Let m(i) = -4*i**2 + 3*i. Let g(k) be the second derivative of -k**4\/12 + k. What is u*m(d) + 5*g(d)?\nAnswer: -d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -964479 - -5?\nAnswer: -964474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**3 + j - 2*j + 3*j**2 - 2*j**3 - 2. What is the units digit of n(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2455e2 (base 15) in base 2?\nAnswer: 110101000101011000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.3 + 15.41. Let a = z + -3.11. Put a, 1\/3, -0.04, -4 in increasing order.\nAnswer: -4, -0.04, 1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -l**5\/10 + 7*l**4\/12 + l**3 - 4*l + 926. Calculate p(6).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000084081 rounded to 6 decimal places?\nAnswer: -0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -8*c - 76, -4*u + 511*c = 525*c + 82 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 434965, -0.4, -2\/3 in descending order.\nAnswer: 434965, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 322.7816g?\nAnswer: 322781600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 878263 at least 6147849\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 25. Let p = -4.7 + z. Which is the biggest value? (a) -0.4 (b) p (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 7:14 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*b**3 + 8*b - 5*b - 13*b**3 + 193*b**3 - 3*b.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/25 (b) -16\/3 (c) 0.1 (d) 0.39 (e) 6\/239\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9b - 27?\nAnswer: -c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 2*k - 5. Suppose -2*j = 2*j. Suppose j = -2*m + m + 6. Is i(m) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1292911, 1292912, 1292913?\nAnswer: 1292914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-10))\/((-3)\/165). Suppose 2*s - 232 = 3*g, -16*s - 2*g = -n*s - 542. Calculate the remainder when s is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(-1)\/(3\/(-6)) - 0. Let d = 1175 - 1187. Which is the closest to 2\/5? (a) z (b) -2\/11 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(132))\/sqrt(12))**2 + (sqrt(110)\/sqrt(10))**2 + 3.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -143 (base 5) to base 8\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61\/(((-20)\/(-25))\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -7571.\nAnswer: 7571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, l: 7, b: 2, t: 3, k: 4}. Give prob of picking 1 b and 1 l.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 6*c**2 - 9*c + 37. What is the units digit of f(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + 4 + (-7)\/1. Sort 42, 2, y in descending order.\nAnswer: 42, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 29. What is the units digit of 6 + 0\/(d\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) 2664 (b) 2.7 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxexxex. What is prob of sequence xe?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14219 and 241.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 14*g - 64. Let n = -3 - -26. What is the hundreds digit of j(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57*((-43520)\/(-1292))\/40?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.49 and -0.2.\nAnswer: 0.698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(-2*sqrt(275) - sqrt(275)) + 4.\nAnswer: -sqrt(3)\/15 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 4. Let x be j(-5). Let c = 14 + x. Find the second derivative of c*i - 7*i - 4*i - 3*i**3 wrt i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*d + 26 = 0, 0*g - 2*d = -2*g + 18. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 5*r - 6. Let q be s(-5). Let n(m) = -m**2 - 6*m + 1. Let z be n(q). Let x be (-2)\/z + (-11)\/(-7). Sort 0, x, 2 in decreasing order.\nAnswer: 2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -71. Let b = w - 8. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/22)\/((-1)\/(-11))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/63 and 22\/55 + (-148)\/(-105)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55585.\nAnswer: 5, 11117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d - 13. Let g be y(6). Let a = g - 5. Suppose 5 = -a*t + t + 3*p, -8 = -5*t + 2*p. Which is greater: t or 13\/8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118 - 110. Suppose 18 = -h*t + 50. Solve 0 = -5*r + t*d, 4*d - 26 + 6 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 2 - -2)*(-19)\/57. Suppose 5*b = 5, 2*r - b = 7 + 6. Suppose 15 = -r*i + 10*i. Solve 6 = -t - 2*m, 2*t - 3*m = -f*m - i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53908 and 30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1808 a factor of 603801576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (3 - 1) + (2 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 527 greater than 526?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -35.3 (b) 3 (c) -6 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -178016*k**3 + 36*k**2 - 491*k + 2?\nAnswer: -1068096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 636*v + 55257. Give w(-87).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1466 + -109. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.76 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 79360 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 s when four letters picked without replacement from {e: 1, b: 1, c: 2, h: 1, s: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((((f*f\/f**(-18))\/f)\/f*f)\/f))**(-14)*f**22*f**15\/f)**(-44) assuming f is positive.\nAnswer: f**(-12056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**3\/7 + 4*j**2\/7 + 24*j\/7 = 0. Calculate j.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 546\/5 + 614\/5*d + 2\/5*d**3 + 14*d**2 = 0. What is d?\nAnswer: -21, -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5642773 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/3)*v\/(v**(-2\/63)\/v)*(v\/v**(-4\/13))\/(v\/v**(1\/42)))**(-2\/7) assuming v is positive.\nAnswer: v**(-475\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 67\/6 or 10?\nAnswer: 67\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 196551 <= 1549?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(1\/2)*t*(t**(2\/7)*t)\/t*(t*t\/t**6)\/t*(t\/t**(1\/7)*t)\/t)\/(t**(-1\/5)\/t*t*(t\/(((t**(-2\/11)\/t)\/t)\/t))\/t)**(-27) assuming t is positive.\nAnswer: t**(61717\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**3 - 7*p**3 - 4*p**3.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -86958010, -86958011, -86958012?\n\"Answer: -n - 86958009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 + 123*g + 102*g - 46*g to z*g + k + y*g**2 and give z.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*t - 29. Let h = -52 + 96. Calculate the remainder when t is divided by h*(-2 + (-45)\/(-20)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*p + 3793584 = 3798537 for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 16. Let g = -305 - -288. Determine v(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d - 4*d + 5*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2 - 98728*k - 197460 = 0. What is k?\nAnswer: -2, 98730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5, -5*j + 0*g + 112 = 2*g. Let b = -20 + j. Suppose 2*t - 3*p - 321 = 0, 0 = -b*t - 5*p + 7*p + 322. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 1 + 1 - (31 + (-95 - -39))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 h when three letters picked without replacement from {n: 3, k: 1, h: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(2)*1))\/(sqrt(80)\/sqrt(4)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 413154085 to the power of 1\/2, to the nearest integer?\nAnswer: 20326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -0.0603\nAnswer: 0.1809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-2322)\/45)\/((-12)\/(-15))*1040\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + 4 - 4 - 6*o + 2*o - 2*o + 18 - 7*o - 18 - 2*o + 0 + 0 + (1 - 4 + 4)*(-3*o + 3*o - o) + 6*o - 4*o - o - 7*o + 14*o + 15*o - 2*o + 0*o + 0*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 5, 270 in descending order.\nAnswer: 270, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 135 = 7*d + 3*c, -4*c = -d + 27. Let o = 32 + -20. What is the smallest common multiple of o and d?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 90935707 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 947846.999979 + -947848. Let s = -17 + 18. Let h = f + s. What is h rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 4*t**2 - t - 14. Calculate x(6).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*a - 16 = -44, -8 = -w + 2*a. Let d(o) = o + 9. Let b(f) = 4*f**2 + 2*f - 1. Let s be b(1). What is the least common multiple of d(s) and w?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 193361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 9*y**2. Let m(k) = -k. Let f(o) = -o. Let r = 10 - 13. Let i(p) = r*f(p) + 5*m(p). Determine i(x(h)).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 - 563*v + 1088*v - 527*v - 6*v**2 - 21 to z + p*v + d*v**2 and give z.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115*s**4 - 315*s**3 - 5495*s**2 - 2*s + 1.\nAnswer: 2760*s - 1890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4692 and 408.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -376*k - 430. Let o(x) = -75*x - 86. Let y(u) = -2*c(u) + 11*o(u). What is the remainder when y(-3) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -2*f + 24, -2*i + 1511682 = 1511674 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23752?\nAnswer: 2, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28414, -56829, -85244, -113659?\nAnswer: -142074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/8325 and -17\/23865?\nAnswer: 357975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + r + 16, 4*u - 2*u - 5*r + 40 = 0. Is 3\/(-15) - 52\/u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10, -4, 2, 8?\n\"Answer: 6*y - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 - -46. Let c = 40 + d. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1726, -1697, -1668?\nAnswer: -1639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621917 is divided by 876?\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*n + 15 = 0. Which is smaller: -4 or n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/478 and 13\/4.\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -43*n - 37*n + 81*n + n**2.\nAnswer: n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 13*q**4\/12 + 1070*q. Let v(l) = 296*l + 2. What is v(z(m))?\nAnswer: 3848*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.392 + -1.392. Let u = 14013\/4 + -3535. Let i = u - -32. What is the smallest value in -1\/2, z, i?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, -5, 105 in decreasing order.\nAnswer: 105, 7, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -18549085670 + 0.8333\nAnswer: -18549085669.1667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 159*c**2 - 179*c**2 - 1414 - 4*c**3 + 2*c**4 + 1411 - 2*c in the form z*c**3 + k*c**2 + g + v*c + p*c**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 5798 in descending order.\nAnswer: 5798, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(4 + -3) + (12 - 7). Suppose 0 = -i*o + 4*o + 147. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 - 36 = 4*s. Solve 2*a + l + 15 = 0, 4*a + s*l = a - 40 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -34. Let r = z - 22. Calculate the remainder when 9 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q + 1. Let v be u(2). What is the first derivative of r - 6*r + 4 + v*r - 3*r wrt r?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*-1 + (-74)\/(-37). Sort m, -1, 5, 0 in increasing order.\nAnswer: m, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62723?\nAnswer: 62723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(1\/6))\/(a**3\/a))**(-47) assuming a is positive.\nAnswer: a**(329\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*i - 2*d - 3981, -5*d = i - 2013. Let j = i + 847. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 77*l + 3. Let r(z) = 309*z + 10. Let q(j) = -22*a(j) + 6*r(j). What is the first derivative of q(t) wrt t?\nAnswer: 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-14))\/((-316)\/28 - -15).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 30*w + 44 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(42\/8)*3. Let u(l) = -5*l - 8. What is the units digit of u(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 7 = 2*k - 17, 3*d = 0. Let i be ((-9)\/15)\/(1\/k). Is (254\/i)\/((-2)\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by -301.\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -6. Let d be -7 + 0*x\/3. Let f = 9 + d. Solve -2 = 2*c, -4*h - 3*c - 17 = -f*c for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-62)\/6)\/(4\/12). Let f = 47 + w. Is (f\/24)\/(4\/150) 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 x when two letters picked without replacement from {n: 2, y: 6, x: 11}?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19396 and 68632.\nAnswer: 892216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(30)\/sqrt(10) - sqrt(3)) + -2.\nAnswer: -4*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70404672*o**5 + 119442420*o?\nAnswer: -1408093440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 169.42 + -172.42. What is the closest to -3 in -2, 2, c, 3\/53?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2\/5 + 10112*s + 151644\/5.\nAnswer: 4*(s + 3)*(s + 12637)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = a - 10. Suppose -a*l = l - 6. Suppose 3*d - k + l*k - 28 = 0, 3*d = k + 20. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 209438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**6\/210 + 8*r**5\/15 - 56*r**4\/3 - 4210*r**2. Factor x(w).\nAnswer: -4*w*(w - 28)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4354 + -65342\/15. Which is bigger: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.2 and -891976.\nAnswer: -891980.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0497753 and -97.5?\nAnswer: 97.5497753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7.27 * 0.0222\nAnswer: 0.161394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 6\/45 + (-1614)\/(-45).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 570 + -318. Does 18 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4789*y**2 - 553 + 553 + 1229*y**2.\nAnswer: 6018*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18080 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/3794 and 17\/128.\nAnswer: 242816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirteen fifths of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*d - 384, 4*w + d = 5*d + 336. Calculate the greatest common factor of 32 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - i**2 + i - 7. Let c be d(0). Is c not equal to -55\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*i = 229 + 13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 10:42 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299299 at most -0.022?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12100012211222 (base 3) to base 15.\nAnswer: 3b1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 2*q**2 - 2. Let i be o(-2). Let c = 2 + i. Suppose 3*l + 0*l - 24 = c. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1258708 and 0.5.\nAnswer: 629354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 136272 by 816.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 7, -4, -18, 0 in increasing order.\nAnswer: -18, -4, 0, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 440 + -449. Let y(o) = 2*o**3 + 27*o**2 + 9*o - 6. List the prime factors of y(l).\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 2:45 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -14*l + 100. Give s(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (sqrt(153) - (sqrt(153) + 5*sqrt(153)*-4)) - 5*sqrt(153)*-1)\/((sqrt(3267) + 1*sqrt(3267) + sqrt(3267) - sqrt(27))\/(sqrt(12) - sqrt(108))).\nAnswer: 7*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -5, 40 in decreasing order.\nAnswer: 40, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -604*z + 845. Let x be r(-6). Round x to the nearest one hundred.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 6:00 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7786 + 100?\nAnswer: -7686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -310 + -134240?\nAnswer: -140100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*z + 8. Let u(r) = r + 2. Let l be u(-2). Suppose -4*d = -l*d - 64. Calculate the smallest common multiple of d and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 99*a**2 - a + 3. Is v(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15517178 to the power of 1\/2, to the nearest integer?\nAnswer: 3939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-7 + (19 - 11)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjp when three letters picked without replacement from qeqjpepqeeejzqpee?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -119 - -30. Let x = r + 92. Suppose -x*a = 3*h + 3, 5*a = 5*h - 0*a - 35. Calculate the smallest common multiple of h and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316 a factor of 67137056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/45, 3, 1\/5, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -363366708 divided by -193486?\nAnswer: 1878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -t + 4*p, 8 - 1 = -t - 3*p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 3:20 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -19774 > -19775?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 9*a**2 + 251*a + 251. Calculate the lowest common multiple of c(-1) and 558.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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 the value of (-3 - (-61 - -33)) + (0 - 8 - -1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**10\/1680 + x**6\/72 + 3*x**3 - 16. Let r(m) be the third derivative of y(m). Find the third derivative of r(w) wrt w.\nAnswer: 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (8\/9)\/(-2) - 68686\/5067.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -3. Let v be 1 + 2\/w - -6. Let g(m) = -m**2 + m + 40. Let j be g(0). Solve 5*c = 5*p - j, v*p - 3*c - 11 = 19 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 282997 and 16016?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31274462 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34997595397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) -3 (b) -6 (c) -0.4 (d) 5 (e) 1\/631 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/(-35)*(52\/(-30))\/((-72)\/(-54)).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 4 (b) 11 (c) 12 (d) -0.5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 685 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 11*c - 43. Let a = -8538 + 8543. Give k(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 + 4 - (-2 + -1). Suppose h = 4*f + 3*i - 29, -2*i = -4*f + 2*f + 18. Suppose 14 = 5*r - 2*r + 5*m, -3*r + m = -8. Solve -r*u - 2 = -f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14014 - 14036. Let t(z) = 2*z + 6. Let x be t(-8). Which is bigger: n or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -14251*b - 15958. Let d(s) = 7126*s + 7979. Let j(c) = -9*d(c) - 4*r(c). Find the first derivative of j(o) wrt o.\nAnswer: -7130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5899 + -5444. What is the smallest common multiple of w and 210?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1305354 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7388 - 4617. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 2*j**2 + 5*j + 4. Let x(s) = -s - 12. Let w be x(-9). Let p be d(w). Round p to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 40, 40, 42, 46, 52, 60?\n\"Answer: p**2 - 3*p + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21730)\/(-690) - 44\/(-253))*((-6)\/(-15) - -2).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -0.02 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l**2 - 3*l - 48. Let i(r) = -10*r**2 + 8*r + 145. Determine -8*d(j) - 3*i(j).\nAnswer: -2*j**2 - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.068 + -0.068. Is 0 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 72\/7? (a) -1\/27 (b) -3\/4 (c) 4 (d) 9 (e) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7}. What is prob of sequence tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 3*o + 5. Let d be g(6). Let x = -33 - d. Let a be (-88)\/x - 6\/15. Solve 3 = -u + a*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (202*d + 168*d - 227*d + 1)*(d + 4*d - 4*d) + (d - 6*d + 4*d)*(-2*d + 4*d + 0*d)*(-2 - 3 + 3).\nAnswer: 147*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 240 by 982.\nAnswer: 120\/491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -10 + 7. Suppose -19 = -4*f - x. Solve 0 = -3*q - 3*i, -2*q + 3 = f*i - 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**4\/4 - r**3\/3 + 3*r**2\/2 - 3*r - 6. Determine q(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by 552.\nAnswer: 17\/276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 1241 = -4*x, -x = u - 330 + 49. Calculate the remainder when x is divided by (-2)\/2 - (-150)\/2.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -94, -86, -74?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -148\/161 - -7265\/7728. Find the common denominator of ((-122)\/(-60) - 2)*-133 and p.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3195.3 and 0.095.\nAnswer: 3195.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9673 + -9658. Which is the second smallest value? (a) v (b) 6 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4816, 4801, 4772, 4723, 4648?\n\"Answer: -w**3 - w**2 - 5*w + 4823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 959\/432?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63221 and 2483.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4*(sqrt(72) + 2) - sqrt(72)))**2 + (4 + sqrt(6)\/sqrt(3) - ((0 + sqrt(2) + sqrt(2) + sqrt(2))*-6 - sqrt(2))) + 1.\nAnswer: 500*sqrt(2) + 1869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 6020?\nAnswer: 18060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -3*r**2 + 0 + 1\/3*r**3 - 2*r. Is f(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3064 + 3654. What are the prime factors of p?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/((-242)\/11)*2. Let l(d) be the third derivative of -25*d**4\/24 + d**3\/6 + 24*d**2. Calculate l(a).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -318 in 0.3, 2, -3.5?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -7*a + 3. Let o(c) = 8*c - 3. Let v(w) = 7*h(w) + 6*o(w). Let s be v(5). Let q be (-1 + 1)\/(-1 - s). Solve -2*l - 3*l = q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 2:55 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(931)*-5 - (sqrt(304) + -4)*-4.\nAnswer: -19*sqrt(19) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.65 + -2.5. Let t = 0.8500402 + r. Round t to 6 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(1\/2)*v)\/v*((v\/v**(1\/6))\/v*v)\/v)\/((v**(-2\/13)\/v)\/((v\/(v*v*v**4))\/v)))**(10\/13) assuming v is positive.\nAnswer: v**(-1370\/507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -47. Suppose 0 = -4*p + n - 1, -3*p - 3 = 3*z. Let d be (4\/z)\/(2\/15). Sort 0, -0.1, d in decreasing order.\nAnswer: 0, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24658.1 + -24658.7. Let x(z) = z**2 + 5*z - 7. Let d be x(-6). Which is the closest to -2\/5? (a) 3\/5 (b) s (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357*l = -330*l - 243 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 + 40. Put o, 5, -3, 14 in ascending order.\nAnswer: o, -3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + (-28744)\/(-24))\/(2\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*u + 9 = 0. Let t be u\/(-9) - 287\/(-3). Suppose 4*c = 4*n + 96, -4*c + 5*n = 2*n - t. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 773546 is divided by 1910?\nAnswer: 1906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13720 divided by -4.\nAnswer: 3430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 a, and 1 b when three letters picked without replacement from {a: 1, u: 2, l: 2, w: 6, b: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from iiiiisiiiiisiiqii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9 and -187270?\nAnswer: 187261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/1 - (-15 + 18). What is v rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5496663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -432.7 + 433. Sort y, -4, -3, -3\/2 in increasing order.\nAnswer: -4, -3, -3\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/15 + 2518*l\/5 + 293436.\nAnswer: -2*(l - 4290)*(l + 513)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 24*j**3 - j**2 + j - 1. Let m be l(1). Let g = m - 22. Which is greater: -2\/15 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 114957249.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 6*o**2 + 6*o. Let f be d(6). Calculate the greatest common factor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 11 = 5*z, 5*z - z - 3*f - 10 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 69*d + 12. Let o(h) = -h**3 + 5*h**2 - 3*h + 11. Let r be o(5). Let y be f(r). Let a = y - -371. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 6) in base 12?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 31186.\nAnswer: 31185.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-1))\/((-4)\/18). Suppose 0*n - 3*n = -r. Suppose n*c + z = 10, z = 4*c + 2*z - 14. What is the smallest value in -4, c, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12988361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 10*n + 162. Calculate p(-17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 2\/17, -132, -2, -5.\nAnswer: -132, -5, -2, 2\/17, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -24*r - 1. Let q(h) = 5*h**2 - 6*h. Let z(k) = 4*k**2 - 5*k. Let i(w) = -5*q(w) + 6*z(w). What is i(b(p))?\nAnswer: -576*p**2 - 48*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -3*v - 10*f + 2*f, 10*f = 5*v - 6*f + 15*f + 16 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29016 and 30264?\nAnswer: 2814552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 4*j + 8, 33*j - 32*j = -5*w + 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 117*t - 3027. Let j be z(39). Let b be 947\/9 + 6\/(-27). Calculate the highest common divisor of b and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*j - 8*j + 56069800. What is j rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, g: 2, c: 1, v: 5, w: 1}. Give prob of sequence wq.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3491, 6908, 10335, 13778, 17243, 20736, 24263, 27830?\n\"Answer: y**3 - y**2 + 3413*y + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*5233.7353.\nAnswer: -2616.86765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 73518950 a multiple of 966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6571?\nAnswer: 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvykpyywvnwwvk. Give prob of picking 2 k.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k = 0. Suppose -2*o - 3 + 7 = k. Suppose -3*l - 25 = -d, -5*l + 34 - o = 4*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(4\/15)*q\/q**(1\/24) assuming q is positive.\nAnswer: q**(49\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 0.65339.\nAnswer: 0.55339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 978 = -2*o, 0*o - 4*z = -2*o - 970. Let s = o - -1196. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-320)\/(-54) - (-84)\/1134?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2437*a - 2438*a = 4*b + 21, 3*b + 27 = -3*a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + (-30)\/(-4))*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -14\/25*i**5 + 16\/5*i**2 + 32\/5*i - 3 - 16\/15*i**3 - 1\/15*i**6 - 8\/5*i**4. Determine r, given that s(r) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3104483 to two dps.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 58 = 4*f, f - 9 = -4*n - n. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 86786 and 111582?\nAnswer: 781074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(171) + -1 + 4 + sqrt(171) + sqrt(57)\/(-2*sqrt(300)).\nAnswer: 2 + 119*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 6:07 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2. Let z(c) = 4689*c + 5117*c - 2918*c. Calculate z(b(u)).\nAnswer: 6888*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 3*h - 12, 20 = -12*a + 17*a + 3*h. Put a, 24, -2, -1 in decreasing order.\nAnswer: 24, a, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j - 1. Let w(k) = 5*k - 4. Let c = -878 + 876. Give c*h(d) + w(d).\nAnswer: 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7*u - 22. Let c(q) = -6*q - 23. Give 6*c(k) - 5*p(k).\nAnswer: -k - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -7\/4416 (c) 3\/2 (d) 2\/17 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**0*p*p))\/(p**(-3)*p))\/(p**(3\/5)\/(p**(-6)*p)))\/((p*p**2*p)**(-2\/99))**(2\/23) assuming p is positive.\nAnswer: p**(-52291\/11385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 7*g**2 + 8*g + 6. Let f be u(-6). Let q(p) = -p**3 - 8*p**2 - 8*p - 6. Let o be q(f). What is o rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**4 + 3*u**4 - 5*u**4)*(-5*u + 2 - 2) + (-5*u + 2*u + u**2 + 0*u)*(-10*u**2 + 10*u**2 - 3*u**3).\nAnswer: 7*u**5 + 9*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*f**3 - 6*f**3 - 9*f**3)*(4 - 35 - 11).\nAnswer: 210*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13290, 52734, 118476, 210516, 328854, 473490?\n\"Answer: 13149*s**2 - 3*s + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 12:04 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**3 - 57*y**2 + 40*y + 450. Calculate f(-31).\nAnswer: 4015","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/11 in 0.284, -0.1, 2\/11, 0.1, -7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 20.1, 0.09, -3\/8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 888*r - 944653 = -1026349 for r.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -20218, -19848, -18844, -16888, -13662, -8848, -2128?\n\"Answer: 53*n**3 - n**2 + 2*n - 20272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -142538*k. Let v(a) = -2*a - 7. Give v(p(l)).\nAnswer: 285076*l - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392960?\nAnswer: 2, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -80872.\nAnswer: -1\/40436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 437259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2928313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8 + 62*m - 55 - 26*m - 201*m wrt m.\nAnswer: -165","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a**2 - 654*a + 4060. Calculate y(6).\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1150517.\nAnswer: 29, 97, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 506.8623m in millimeters?\nAnswer: 506862.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 925.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 1:09 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003852063 rounded to 7 decimal places?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 + -58 - (4 + -1) - 28?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1174337, -1174044, -1173751, -1173458, -1173165, -1172872?\nAnswer: -1172579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 2 = 2*d - 4*b, 2*d - 5*b = -14. Let y = d + 0. Suppose -p + y = -8. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560669602?\nAnswer: 2, 397, 706133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-5*sqrt(405)*-3*4 + -5)*-5)**2.\nAnswer: -162000*sqrt(5) + 36450900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/2330 and 79\/40.\nAnswer: 9320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.89 + 2.95. Let w = i + -3.06. What is the closest to -0.1 in 5, 7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 2 + 2. Let z be -2 + b - 4*-1. What is the greatest common factor of 24 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323 = 44*r + 15 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41725990?\nAnswer: 2, 5, 17, 71, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133258552 and 1064?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 13*a**2 + 32*a - 15. Let l be o(10). Solve 0 = -5*m + w - 22, l*w - 7 = -3*m - 37 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1738245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5553430 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**3 - 12*o**3 - 4*o**3 + 10*o**3 + 7*o**3 + 947*o in the form m*o**3 + b + c*o + i*o**2 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (492\/(-656))\/((-6)\/(-208)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-4)*14\/(-1820)*-26?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-135)\/(-40))\/9 + (24272\/1408)\/(-37)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 1. Let y(k) = 10*k + 1. Let h(r) = 39*r + 12. Let f(o) = -h(o) + 4*y(o). Determine 6*a(u) + f(u).\nAnswer: -5*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-5 - -17)\/(8\/560)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134.532060709+5\nAnswer: -129.532060709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/4 - -3) + 6669\/78. Solve -79*o + q*o = -14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**6*s**(5\/2)*s\/((s*s*s**(1\/19))\/s*s*s)*s**10 assuming s is positive.\nAnswer: s**(625\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 4*v + 16. Suppose 9*k + 25 + 38 = 0. Let d be x(k). Sort 0, 5, d, 4 in decreasing order.\nAnswer: 5, 4, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 826 + 169. Let b = 280 + i. Suppose 5*j + y - 2*y - b = 0, -2*y = -5*j + 77. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8997 - 8998. Suppose r + 1 - 6 = 0. Let b(i) be the second derivative of 7*i**4\/12 - i**3\/6 - i**2 - 2*i. Let t(c) = c**2. Determine f*b(x) + r*t(x).\nAnswer: -2*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4139.8 - -4140. Which is the closest to -0.2? (a) w (b) 3 (c) -0.1 (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - m**2 + 2*m + 56. Is q(0) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + (sqrt(45) + -1)**2 + sqrt(45))*3.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 15*t. Let c(r) = -6*r - 38. Let s be c(-6). Let f be (-3 + 2)*(s + -1) + 0. Let o(k) = f*k + k - 3*k - 2*k. What is j(o(i))?\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*b, -187905 = -4*h + b - 38188. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -135*p. Let u(g) = -12*g. Calculate q(u(x)).\nAnswer: 1620*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*i**3 + 43*i**2 - 43*i + 6.\nAnswer: -(i - 6)*(i - 1)*(6*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 12 = r. Let d be r - (-67 - 1)\/4. What is the derivative of -12*m**2 + d + 72*m - 72*m wrt m?\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 + -43 - -22) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-21 - 23 - -42).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62073235 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.4 - -2.4. Let f = 9 - -3. Let g = f + c. What is the second smallest value in -3, g, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(60)\/sqrt(4))\/(sqrt(180) + sqrt(180) + sqrt(180) + (sqrt(180) - -1*sqrt(180))).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide ((-906)\/(-4))\/((-329)\/(-24346))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 29 + -2 + (16 - 23). Suppose 0 = -156*d + 152*d + c. Solve -8*k + d*k - 3 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 - 2*a**2 + 5*a**2)*(-276*a**3 - 387*a**3 + 77*a**3).\nAnswer: -1172*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7*r + 34. Let n(s) = 4*s - 17. What is 3*l(g) + 5*n(g)?\nAnswer: -g + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6 - 142*r**3 - 17*r**2 + 72*r**3 + 58*r**3.\nAnswer: -12*r**3 - 17*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 1 - 8*w**4 + 132*w**2 - 257*w**2 + 129*w**2 as t*w**4 + l*w + n*w**3 + c*w**2 + q and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27314, -65139, -128180, -216437, -329910, -468599?\nAnswer: -632504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 3:37 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.5344029 rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + s = 10, 0 = 2*j - 0*j - 2*s. Let n(x) = x**3 - 58*x**2 - 38*x - 4918. Let y be n(60). Is y at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43030237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -42*o**2 - 98*o + 49. Let t(z) = -4*z**2 - 10*z + 5. Let u(g) = 5*k(g) - 49*t(g). Let a(n) = -45*n**2. Determine u(a(v)).\nAnswer: -28350*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -173*s**5\/60 + 5*s**4\/24 - 2053*s**3\/6 - 3281*s**2. Find the first derivative of d(g) wrt g.\nAnswer: -346*g + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000110110000001110 - 1001?\nAnswer: 100000110110000000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**3*c**3 - 201307*a**3*c + 87284*c**4 wrt c.\nAnswer: 6*a**3*c + 1047408*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 4*h + 400, 5*h = -5*x + 6*x + 206. Let u = 1374\/7 + x. Is u > 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m - 1. Let l(y) be the first derivative of 4*y**2 - 82*y - 32. Let f be l(10). Give c(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 3. Let w be a(-3). Let p(c) = w*c - 2*c + c. Let f(r) = r**2 - 2*r**2 + 3*r**2. Determine p(f(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -1993445*b + 1. Let f(u) = -5*u. What is y(f(p))?\nAnswer: 9967225*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 + 148. Is a a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/157122 and -17\/274659.\nAnswer: 70862022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2. Suppose 2*b - 37 + 27 = 0. Let x(a) be the third derivative of 0*a - 1\/12*a**4 + 0*a**3 + b*a**2 + 0. What is x(y(z))?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221185784 is divided by 110592888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-17))\/(0 - (-1 - -3)). Sort u, 2, -2, 4.\nAnswer: -2, u, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*z = -28*z - 48160. Calculate the highest common divisor of z and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 1, -3, 3, 539 in descending order.\nAnswer: 539, 5, 3, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.925 - -0.595. Let t = q + 1.33. Is 0.1 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9319, 9322, 9327, 9334, 9343, 9354, 9367?\nAnswer: 9382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -657 - 2251 = -93*v + 1649. Solve v - 12 = 37*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 - 34. Let y be m\/(-28) - (-63)\/12. Solve 3*t - 5*k = 15, 5*t - y*k - 10 = 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1028.53 and -2.\nAnswer: 2057.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21990 by -30.\nAnswer: -733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-25705587280.4\nAnswer: -25705587280.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -3837?\nAnswer: -7674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 905237104?\nAnswer: 2, 56577319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*n*r**3 - 2*n*r - 383314*n - 38673*r**3 wrt r.\nAnswer: -36*n*r - 232038*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 717274 equal to 717270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*f = 6*s + 5, -3*f = 0. Let k = 1 + s. List the prime factors of (k - 2 - -3) + 20.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2370 = 4*m, 7*m - 9*m = 5*n - 1191. What is the remainder when m is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 439 or 538?\nAnswer: 439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by -162.\nAnswer: 11\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/5 + 44088*y\/5 - 2789451\/5.\nAnswer: 3*(y - 63)*(y + 14759)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -20 (b) -1.4 (c) 1\/4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/45 - (-4)\/(-18). What is the nearest to d in 6, 4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 - -90. Suppose -4*d + 287 + 89 + 104 = 0. Calculate the highest common divisor of q and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3816284213.2 rounded to the nearest ten thousand?\nAnswer: 3816280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = 37*p - 9*p - 168980. Calculate the remainder when p is divided by 62.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2\/3)\/((-16)\/118) and -76\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0021295 to five dps.\nAnswer: 0.00213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 + 68*m**2 - 67*m + 21. Let k be c(33). Let i(w) = 3*w + 17. Give i(k).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11794182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -640769, -1281537, -1922305, -2563073, -3203841, -3844609?\nAnswer: -4485377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 10*b**2 + 22*b + 8. Let g be k(12). What is the remainder when 65 is divided by (g - -2)*2*3\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 369*m**2 + 1 + 311*m**2)*(-1 + 1 - 2*m).\nAnswer: 116*m**3 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -8 (c) -2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, a: 11}. Give prob of sequence aa.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 479044*d - 309816 = 476065*d for d.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 429 + -324. Calculate the greatest common divisor of s and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4052 is divided by 1066?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 12:12 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 108 - 104. What are the prime factors of ((-218)\/(-8))\/(1\/i)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 369*q + 196*q + 105*q - 55268 for q.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 27 (b) 1.53 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 529 - 17*f**2 - 143 + 17*f**2 - 1443*f**4 wrt f?\nAnswer: -5772*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 12 - y**2 + 2*y**2 in the form z*y**2 + b*y + k and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + z - 2 + 6 + 248*z**2.\nAnswer: 248*z**2 + z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 405270 divided by -4266\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20777699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -54784? (a) 7 (b) 3 (c) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16068957?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*g - 3, 2*g + 5*o = -g + 3. Let i = -7 + 2. Let w = i + 3. What is the second smallest value in 0.1, w, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + f + 1. Let t(w) = 4*w**3 + 3*w**2 - 3*w - 110. Let m(y) = -5*r(y) - t(y). Is m(0) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.1 (b) 8\/15 (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 smaller than 652?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31617\/4 - 7904. Let t(g) be the third derivative of 1\/20*g**5 + 0 + 2*g**2 + 0*g - z*g**4 + 1\/2*g**3. Factor t(w).\nAnswer: 3*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 times -41.601\nAnswer: -790.419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1199980484?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 15 = -0*v. Let d(q) = -89 + 18*q - 91 - 83 + 252. What is the units digit of d(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 3) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 307189349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y + 23. Let l(q) = -43444 + 14501 + 14479 + 2*q + 14486. What is -6*c(k) + 7*l(k)?\nAnswer: 2*k + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 0)\/(2\/14). Suppose 3*j + 4*l = -10, 8*l = -3*j + 6*l - 2. Solve -3 - g = j*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2497 - -52.7503. What is the nearest to v in 2, 3\/8, -2, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 1.3. Let w = v + 1. Let n = 0 - -0.2. What is the nearest to w in -2, n, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379701901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35 and 32.\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*u - 228 + 142 = 265 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 6. Let o = 4 + h. Calculate the remainder when 3\/(10\/(-8) - -1)*(-25)\/75 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/13200194 and -81\/10870748?\nAnswer: 184802716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {a: 6, n: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 3:51 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, j: 1, y: 17}. Give prob of sequence yyy.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -108, -141, -200, -285, -396, -533?\n\"Answer: -13*b**2 + 6*b - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 - 9*i + 14. Let s be k(3). Suppose -17 - 8 = x - s*h, 4*x - 4*h = -20. Solve -6*a + 10*a + 20 = x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16764 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, v: 2, r: 1}. Give prob of sequence rq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.2 + 9.2. Suppose f - 496 - 61 = -3*r, -2*r = 2*f - 374. Let q = r + -1292\/7. Which is the smallest value? (a) q (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 17*t**2 - 6*t - 4. Let q be (-20 - -12)*(-18)\/8. Let y be j(q). Suppose 731 = 3*k + y. What is k rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 786 divide 779712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011011010 - 111011111101?\nAnswer: -1000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -2. Let q be (-3)\/6*l - 2. Let y(i) = -2*i - 7. Let v be y(-5). Solve q = x - 4*x - v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f**2 - 12*f + 40. Let v(k) = -14*k**2 + 22*k - 79. What is -11*g(r) - 6*v(r)?\nAnswer: 7*r**2 + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a century in months?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 8892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - -1) + 0\/3. Suppose -j - 5*w = -23, 5*j + v*w + 20 = 6*w. Let t = j + 15. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26032306?\nAnswer: 2, 827, 15739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116730888?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 0*r**2 + 0*r**5 + 4*r + 1\/30*r**6 + 0*r**4 + 0 + 5\/6*r**3. What is the second derivative of x(h) wrt h?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 0, -7, -14?\n\"Answer: -7*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + ((sqrt(76)\/(sqrt(196) - sqrt(4)) + sqrt(19) + -1*(sqrt(19) - sqrt(76)))*-2 + 4)**2).\nAnswer: -208*sqrt(19)\/3 + 6620\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -278 + 281. Solve -4 + 7 = y*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/300*-25)\/(10\/(-18)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 81*r**3 + r**2 - 2. Let g be v(1). Calculate the highest common divisor of g and 2000.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 5:33 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**3\/6 - d**2 + d. Let g(t) = -t + 3. Let r be (36\/48*-4)\/(1 + 0). Give r*g(b) - 5*n(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 126\/(-208) - 684\/(-2964)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 15 - 30. Let l(t) = 13*t**2 + 7*t - 12. Let i be l(k). What is the highest common divisor of 315 and i?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*r = -7*g + 465, -3*r = -g + 105. Let o be 1\/(-3) - g\/(-27). Sort 4, o, -5 in descending order.\nAnswer: 4, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r**(2\/33)\/r)))\/r**(1\/6)*(r**(-2\/3))**(-30) assuming r is positive.\nAnswer: r**(1247\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2. Let a(v) be the third derivative of -v**7\/840 + v**4\/8 + 2*v**2. Let n(q) be the second derivative of a(q). Give n(k(i)).\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 + 2435770*g - 296648774645.\nAnswer: -5*(g - 243577)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -31011021102 (base 4) to base 15\nAnswer: -47aeb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -15939.51 to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z = -2*k - 22*z + 2, -3*k + 5*z + 3 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-63 - 488 - 417)*(5 + 2*t - t - 3*t) to the form j*t + m and give m.\nAnswer: -4840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 + 116 - (4 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006027649 to 7 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 c when two letters picked without replacement from {f: 5, a: 2, b: 4, c: 7}.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, j: 5, d: 1, f: 7, p: 1, z: 2}. Give prob of sequence df.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5 = -m. Let w be -1*(3 + m + -9). Round w to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -21\/5*r - 3*r**3 + 27\/5*r**2 + 3\/5*r**4 + 6\/5 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.118 from -0.07207.\nAnswer: 0.04593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/30408 and 115\/1008.\nAnswer: 182448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.00876 - -112.45876. Let k = y - 0.45. Let v = -111.9999897 + k. Round v to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 12:57 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a decade in months?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(243) - (-6*2*sqrt(243) - sqrt(243)))*3 - -2*((-1 + sqrt(243) - sqrt(243))*-4 - (-1 + sqrt(243))*6))**2.\nAnswer: -34560*sqrt(3) + 2239888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 24*z + 28. What are the prime factors of (z - 5) + (7 + -13 - -115)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6887 smaller than -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.822519ml?\nAnswer: 0.007822519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -n - u + 11, 4*n - 8 = -4*u. Let p be 4955\/(-10) - (1 + n\/(-6)). What is p rounded to the nearest 10?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -302*z - 3017. Let n be m(-10). Let s(o) = -o**2 + 4*o + 1. Let p(f) = -f**2 + f - 1. What is n*p(v) - s(v)?\nAnswer: -2*v**2 - v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 8, 4*j + 10 = 3*h + 3*j. Let g be (-10)\/(-4)*20\/25. Suppose -g*l = h*l - 162. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 16*w**3 + 11*w**2 - 49*w + 718. Does 18 divide g(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 97255 - 97235. Suppose 5*k + 3 = m, -2*k + 80 = 4*m - 5*k. Solve 19*f = m*f - t for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*z = 68*z - 1448. Let d = -383 + z. Is d a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1314 (base 9) in base 11?\nAnswer: -816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1040, -0.1, -137, 2, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4346 and 246.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*u - 36*u - 33*u + 134*u - 36*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 72*z**5\/11 - 10717782*z**4\/11 + 33046064*z**3\/11 - 37809298*z**2\/11 + 19053464*z\/11 - 3572520\/11 = 0.\nAnswer: 2\/3, 3\/4, 1, 148855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*s - 41*s + 5368096 = 39*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 12) in base 16?\nAnswer: a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 4\/3*k**3 + 0*k + 0*k**2 - 2 - 6*k**4 + 9*k**5 - 25\/6*k**6. Solve f(b) = 0 for b.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.6 + -0.4. Let h = 9.9 + d. Let g = 0.092 + h. What is g rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3929545934 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4078, -3552, -3026?\nAnswer: -2500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -6 + 14 + -2 + 182 is divided by 97.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/9*891\/(-165).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**5\/4 - 3*k**4\/4 + 261*k**3 + 3340*k**2 - 3600*k = 0?\nAnswer: -20, 0, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 3*s = -o + 14, 14*o - 2*s = 4*s - 4*s + 92 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5\/f**(-3\/4)*(f**0)**(-8\/5))\/(f**(-4\/9)\/((f\/((f*f*f**(1\/5)*f)\/f))\/f)*f**(-8)\/(f**(1\/12)*f)) assuming f is positive.\nAnswer: f**(1177\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60448.\nAnswer: 2, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 18898.58ns?\nAnswer: 0.00001889858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-275)*5*(-165)\/(-345)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 497 or 495?\nAnswer: 497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/5 - 523383*s\/5 + 15714990.\nAnswer: -3*(s - 150)*(s + 174611)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/56 and -93\/40040?\nAnswer: 40040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {l: 10, o: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, 68\/3, -1\/7, -32, 2, -2\/3, -218?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -166989504.8 and -1814.2.\nAnswer: -166991319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q + 9. Let l(i) = 2 - 6*i + 4*i + i + 2*i. What is 9*l(a) - 2*v(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 9:56 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 41 = -4*q, 10 + 6 = 4*q. Sort 5, j, 1 in descending order.\nAnswer: 5, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 160 - 159. Let d = 4 - 2. Let s = -631 - -10097\/16. What is the fourth biggest value in -1, d, s, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*s - 28 = 48, -5*s = 5*p - 400. Let t = p - 77. Suppose -4 = n + 2*l, -t*l = -3*n + 2 + 41. Calculate the greatest common divisor of n and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 356026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 36 = -0*n. Find the third derivative of 2*t**3 + t**2 - 5*t**2 - 5*t**3 + n*t**3 wrt t.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11139723 is divided by 5701?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 - 19*h - 11. Determine u(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22183289.999877 + -22183358. Let l = n - -68. What is l rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 0 + 1\/12*d**4 + 1\/2*d**3 - 5\/2*d**2 - 1\/60*d**5 + 9*d. Let c(n) be the first derivative of z(n). Determine c(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (56\/315)\/((-4)\/(-6)). Let z = q + 2\/5. Let b = -0.03 + -1.97. Which is bigger: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/5)*l**6)**(2\/5) assuming l is positive.\nAnswer: l**(56\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**3 - 8*l**2 - 1 + 3*l**2 + 5*l**2 in the form w*l**2 + q*l**3 + k + v*l and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*b - 1712675 - 4067682. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -10 - (-5 + (21 - 15)) - (3 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03600023 - 0.036. Round q to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2880)*-2)\/(sqrt(27)\/sqrt(3)*6 + sqrt(9)) + (sqrt(20)\/(sqrt(4)*-3 + sqrt(4)) + -5*sqrt(180))**2.\nAnswer: -16*sqrt(5)\/7 + 18605\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12625, 33590, 54555, 75520?\nAnswer: 96485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -214 + 216. Let z(j) = -j + 28 - 3*j**2 - 2*j + w*j**2 - 24. What is z(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*s + 22 = 9*z, -5*s = 3*z - 49. Let g be ((-4)\/6)\/(2\/6). Is 356*g*(-7)\/z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.046 * -6.\nAnswer: 0.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3824*x + 11153 + 9704 = 5561. Determine b, given that -3\/2*b**x - 102*b - 60 - 63*b**2 - 33\/2*b**3 = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4582 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 164 + -449. Let s be (3\/j)\/(4\/8). Which is the second smallest value? (a) 0.4 (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6606772848 divided by -6?\nAnswer: 1101128808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g + 7*g + 14*g - 37*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u - 2580903324*u**2 + 2580903331*u**2 - 4*u.\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 126504 times 0.4\nAnswer: 50601.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 4*w + 15. Suppose -w*c - 277 = -5*v - 4*c, 3*c = -2*v + 121. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2 + b - 1 - 2. Let j(a) = -4 + 3 + 3*a - 1. Suppose 49*m - 67*m = -18. Determine m*j(n) - 2*l(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0 = -4. Suppose -c - 9 = -g*c. Suppose -7*v + 2*v + 31 = -y, y = -c*v + 17. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 + -36. Solve 3*b + 0 = 2*m + u, -5 = -3*b + m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 - 6*z**2 + 3*z - 3. Suppose -6*k - 10 = -22. Let b(f) = -f**3 - 5*f**2 + 2*f - 2. Calculate k*t(n) - 3*b(n).\nAnswer: -n**3 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -20*z + 26. Let f be (3080\/63)\/z - -5. Which is greater: 12 or f?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -2*d + 18, 6*d - 10*d + 4*h - 20 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0388114 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**2*j - 9317*d**2 - 72*j wrt j.\nAnswer: -2*d**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 80*r**2 + r - 2. Let t be u(-5). Let h be (2850\/(-400))\/(6\/(-1660)). Let w = t - h. What is the common denominator of -16\/7 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*h + 24, 2*h - 5 = -p - 2. Solve 2*w = 5*w + h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 643*h**5\/30 + 693*h**3\/2 - 410*h**2. What is the derivative of u(p) wrt p?\nAnswer: 2572*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 277*q - 868 + 868 to the form w + b*q and give b.\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -220302222201 (base 4) to base 10\nAnswer: -10693281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-3897) - (-39839536)\/(-390566)\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 36\/80929?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y - 4*y + 3*y)*(-44 + 56 + 69)*(-4 + 6 - 1) to the form t + h*y and give h.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2\/3 - 2302*p\/3 + 66360 = 0. What is p?\nAnswer: 90, 2212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220077 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 6*g**2 - 5*g + 2. Let j be m(4). Let k(i) = -i**3 + 8*i**2 + i - 14. Let n be k(7). Calculate the highest common factor of n and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 75, 876 in descending order.\nAnswer: 876, 75, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 685 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/298643832 and 53\/16.\nAnswer: 597287664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 6 + 14 + -1. Suppose -9*t - 2 - 7 = 0. Sort q, -3, 6, t.\nAnswer: -3, t, 6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2219 greater than or equal to -2219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*a**3 + 7743*a - 7743*a - 1.\nAnswer: -327*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**6\/120 + b**5\/30 - b**4\/12 + b**3\/2 + 10*b**2 + 59. Let c(y) be the second derivative of k(y). Give c(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3 = -2. Let o = 52 + -56. Sort o, u, -3 in ascending order.\nAnswer: o, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 3*x**2 + 3*x - 6. Let k be q(3). Suppose -4*o + 1 = -5*s - 2*o, 3*s = k*o - 6. What is the least common multiple of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.74 * -120.\nAnswer: -808.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*c + 6*v + 71, 0 = 2*c - 20*v + 19*v - 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w + 1. Let x(n) = 11*n + 1. Let u(t) = -9*q(t) + 4*x(t). Let h be u(-7). Calculate the remainder when h\/8 + 156\/16 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3426 + -499. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -3.5752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89258324*l**3 - 3281*l**2 + 59425?\nAnswer: 535549944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/(-12) - (-4)\/(-6)*243\/(-54)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -58, 64 in decreasing order.\nAnswer: 64, -1, -2, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -565\/566 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*v - 20 = -d, 2*d = -5*v + 14. Suppose -2*a = p + 1, 3*p + 3 = 3*a + a. Solve a = -d*x - 6 - 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 3. Let p be (o - 7)*4\/(-10). Solve p*x + 1 = -5*i, 3*i - 6 = x - 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -485b?\nAnswer: -4858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (150 + 13)) + (-266 - -295).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 229b - -1?\nAnswer: 229c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 8439*w**2 - 5*w + 9. Is t(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (-1)\/(-3) - 4\/(-6). Suppose r*f + 40 = 7*f. What is f rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 570499 bigger than 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.709 - -0.579. Let s = r + 3.1. Sort 1, s, -2.\nAnswer: -2, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 463*w + 89. Is r(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -518143 greater than -92\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 6*n = 2*n + 332, 5*f - 334 = -3*n. What is f rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3647, 4562, 5477, 6392, 7307?\n\"Answer: 915*h + 2732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h**5\/7 - 537807*h**4\/7 - 20850198*h**3\/7 - 210166638*h**2\/7 - 21580941*h + 38787645\/7 = 0. Calculate h.\nAnswer: -35815, -19, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 9:04 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6669958?\nAnswer: 2, 47, 70957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39742952?\nAnswer: 2, 73, 68053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**4*f*f*f)**(-3))**(-18) assuming f is positive.\nAnswer: f**432","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -6. Let j = s - 3. Suppose -b + 5*m = 2*m, -4*b - 4*m + 16 = j. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-20)*-3)\/(11441\/136 - 84).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2\/23 + 676*t\/23 - 5280\/23 = 0. What is t?\nAnswer: 8, 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + q - 36 = -4*g, -2*q - g + 12 = 0. Suppose q*n = 5*z - 5, 4*z - 5 = n - 1. Are z and 2\/13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l - 2*l)*(2*l + 13*l + 3*l)*(-3*l**3 + 0*l**3 + l**3).\nAnswer: 72*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2058400\/11 + -187126. Let v = 17 - 12. Which is the closest to f? (a) 0.2 (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 78?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.178454 and -0.065.\nAnswer: 0.01159951","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66994 and 410134.\nAnswer: 1634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - (-2 - 2)) + 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**2 + 129*k - 3541. Determine i(19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-8) - (1 + 11 + (-2203394)\/16). What is x rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 11*b + 1. Let w = -34 - -28. Let n be r(w). Which is bigger: n or 6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1293 (b) 4 (c) -0.2 (d) -4\/7 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g - 6*u = -4*g - 7*u - 12, -5*u + 10 = 170*g - 115 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(4\/(-18)) + -70*(-20)\/1680.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4338 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: Let q = 8 + -6. Suppose -4*m = -2*a - 6 + q, -4*a = -2*m - 16. Calculate the least common multiple of 10 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -9, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-3))\/(f*f**(2\/11))*f**(-1\/3)*f**(-6\/7))**(-35) assuming f is positive.\nAnswer: f**(-1880\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 10*t + 7*t**2 - 10*t + 0*t**2. Let q(n) = -3*n**2. Calculate o(q(j)).\nAnswer: 63*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 12*a**2 - 11*a. Let h be t(-11). Suppose 3*k + 3*p = -1 - 5, h = -k + 4*p + 18. Suppose 0 = k*o + 10 - 164. List the prime factors of o.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*o**4 + 19992*o**3 + 229120*o**2 - 94848*o = 0. Calculate o.\nAnswer: -988, -12, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 212413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4269*u**5 + u**4 + 3*u**3 + u + 32183?\nAnswer: -85380*u**3 + 12*u**2 + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5036232.6 rounded to the nearest 10000?\nAnswer: 5040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0110622 rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k**3 + 8*k**3 - 21*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 211\/2100 and -31\/4825.\nAnswer: 405300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-1))\/((-2)\/10). Let h be (-260)\/1950 + -16*2\/(-15) + 0. Solve 0 = -2*w - h*r, 0 = 4*w - i*r + 10 + 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98151878 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-211*s**2 + 89*s**2 - 347*s**2 - 381*s**2)*(0*s + 0*s - 3*s).\nAnswer: 2550*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211222 - -2222001?\nAnswer: 11211000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -3. Let w(v) = 11*v**2 - 1. Let b be w(1). Solve -b = -4*c + l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c - -3?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 800 - 351. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 13*m**8\/10080 + 7*m**5\/10 + m**2 + 3. Let a(b) be the third derivative of f(b). Let i(d) = -2*d**2. Give a(i(y)).\nAnswer: 104*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(4\/9)*y)\/(y*y**(-20)\/y))**(-12) assuming y is positive.\nAnswer: y**(-844\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.158 - -344\nAnswer: 343.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2289430 (base 11) in base 15?\nAnswer: 53d9d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29381742 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11920 is divided by 2383.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -767 - -767. Let u(a) = a**3 + 6*a**2 + a + 8. Let h be u(-6). Let q be h\/14*(0 - -2). Which is smaller: t or q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: Is 29038 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1615*r - 913*r + 5191*r.\nAnswer: 5893*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-24))\/(2*(-1)\/18). Suppose -2 = -s, 3*x + 2*x + 3*s = 46. Suppose -h*o + x = -7. Let m(g) = -g + 8. What is m(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -3)\/(24\/20). Let s be (-69)\/21 - (-10)\/35. Which is smaller: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 - 134242*v + 5902786. Determine k(44).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/q**0)*q))**(-2\/59))**(-1\/8)\/((q**1*q\/q**(-3\/5))\/(q*q*q\/(q\/((q*q**(-1)*q)\/q*q)*q)*q)**3) assuming q is positive.\nAnswer: q**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 7 - 11 - 89*n in the form r + k*n and give k.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -3, -685, 3 in descending order.\nAnswer: 3, -3, -16, -685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*(sqrt(76) + -4) + -5 + sqrt(76) + -4)**2.\nAnswer: -21462 + 4176*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(13) - sqrt(13) - (0 + sqrt(13) + sqrt(13) + 1)) + 3 - (-6*((sqrt(78) + 1*sqrt(78) - sqrt(78)) + sqrt(78)))\/sqrt(384).\nAnswer: 2 + 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-18) - 12\/297. Let y be ((-17)\/(-34)*(-1 + 0))\/1. Which is the closest to 0.14? (a) -2\/3 (b) n (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3 + 0 = 0. Let a be (-2)\/u*(-2)\/4. Solve 0 = -j + a - 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7541613.\nAnswer: 3, 19, 61, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -19364*x + 1. Let v(a) = -a + 31325. Determine v(q(l)).\nAnswer: 19364*l + 31324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-2))\/o**(-1\/11))\/(o**(4\/5))**8)**(-8) assuming o is positive.\nAnswer: o**(3216\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32985*h + 440 - 149 - 150 - 141 to n + r*h and give r.\nAnswer: -32985","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + 0.3. Let i = -17.2 - -17. Let b = 0.7 + i. Sort n, b, 0 in ascending order.\nAnswer: 0, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -39*r - 69 - 68*r - 5*r**2 + 214 - 33*r = 0.\nAnswer: -29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(-12)*3*(4 + -198)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -186 + 453. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hckk when four letters picked without replacement from {k: 2, c: 1, g: 11, h: 3, q: 2}?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103221 + -1232200?\nAnswer: -2002021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -ed1b6d (base 15) to base 9\nAnswer: -23225244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 680531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 96024.7ml?\nAnswer: 96.0247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, k: 7, g: 3, c: 1, j: 1, p: 7}. Give prob of sequence ppjw.\nAnswer: 7\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/348 and 3368\/(-1120) - 48\/(-840).\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + (0 - -5) - -10?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 = -k - 0*t, -15 = -3*t. Solve 18 = -4*r - 3*f + 5*f, k*f - 11 = 2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p**2*q**2 - 20*p**2*q - p**2 + 5*p*q**2 + 3*p*q - 3*q**2 + 7*q wrt q.\nAnswer: -4*p**2 + 10*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 790 + -679.8. Let x = -110.16705 + q. Round x to 3 decimal places.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66521 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (1128 + 943 + 1288)*(-1 - 2 + 3*y - y) in the form d + m*y and give d.\nAnswer: -10077","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 1. Let h(i) = -3*i**2 + 2. Let f(m) = h(m) - 2*w(m). Let s(p) = 10*p**2. Calculate s(f(l)).\nAnswer: 10*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(140) - sqrt(140)*1)\/sqrt(5) + sqrt(28) + (sqrt(1008)*2 - sqrt(1008)))\/((sqrt(4) + sqrt(4) + (sqrt(40)\/sqrt(5))\/sqrt(2))*2).\nAnswer: -1 + 7*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**3 - i**3 + i**3)*(0 - i + 0) - 317*i**4 - 353*i**2 + 353*i**2 to d*i + c*i**2 + k*i**3 + m + u*i**4 and give u.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24\/1385 or -3795?\nAnswer: -24\/1385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 12, 2\/3, -1\/6, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**5\/5 - v**4\/4 - 17*v**3\/6 - 2*v**2 - 286*v. Let g(x) = -x**3 - 2*x - 1. Let t(a) = 5*g(a) - r(a). What is t(5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s = -4. Calculate the common denominator of 5\/(-45) + s + -1 and -1*2\/16*-61.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -846545761*p**3 - 47 + 846545759*p**3 + 47.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8564 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135842, 135408, 134974?\nAnswer: 134540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1917 (b) -0.4 (c) 1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**4\/4 - 359*n**3\/6 - 2418*n**2 + 3*n - 139. Differentiate s(r) with respect to r.\nAnswer: 6*r - 359","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-9 - ((-1)\/2 - (22 - 4745\/494)))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**5\/120 - j**3\/3 - 3*j**2. Let b(f) be the first derivative of u(f). Let v(p) = -26*p. Determine v(b(i)).\nAnswer: 26*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6 (b) 3\/2 (c) 1 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -772.11 - -771.71. Suppose 2*h + 5*v + 29 = 10, -2*v = 6. Let p be h + (7 - (1 + -1)). Which is the nearest to 1\/4? (a) p (b) -9 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 4:42 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c**3 - 2 + 2)*(2*c + 0 + 0)*(-64 - 45 - 39) to t*c + b*c**3 + q + y*c**4 + d*c**2 and give y.\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.76 - 10.06. Let y = l + 2.3. What is the biggest value in y, 0.3, -3\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiisittssjyiiy. Give prob of picking 2 t and 1 j.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46274 - 28057. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, g: 5, t: 3, v: 2, h: 1}. What is prob of sequence ght?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3017)\/431*(81\/(-21))\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1144203 is divided by 3019.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-3 - -3) - (-4 - -10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-3)\/o))**(-21))**(-36)\/((o*o**(-1\/4))**(-2)\/((((o*o*o\/(o\/o**(-8))*o)\/o)\/o)\/o**(3\/8))) assuming o is positive.\nAnswer: o**(30193\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 + 49.9. Let w = 2 - y. Which is the second smallest value? (a) w (b) -0.1 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.438 + 0.012. Let z = i + -1.05. Which is the second smallest value? (a) 0 (b) 2 (c) z (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 12 = -3*m. Let b = m - -40. Suppose 2*v + 2*d = d + b, d = v - 11. What is the remainder when 29 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -949*u = 241*u + 724*u + 22968 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - 21. Let n(v) = -4*v - 2*v + v**3 - 5*v**2 + v + 3. What is the units digit of n(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 806, 2887, 6372, 11273, 17602, 25371?\nAnswer: 34592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.87467 decades to millennia.\nAnswer: 0.9287467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -3. Let b(g) = -g - 5. Let c be b(u). Suppose 2*r + 3*x - 10 = -0*x, 2*x = -c*r + 8. Solve 3*p - 8*p = -4*s - 27, -2*s = r*p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6*(-3)\/(-315)*7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8.6 and -7?\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105, -388, -861, -1524?\nAnswer: -2377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 4*l**2 + 3. Let k(r) = 2*r - 7*r + 2 - 9*r + 3*r. What is the remainder when k(-3) is divided by v(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 112*a**2 + 2393*a - 23278. Determine w(-77).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/5))**(-25\/4)*(s**(2\/9)*s)\/(s\/(s\/(s*s*((s*s*s**(-6))\/s)\/s))))**(-12\/5) assuming s is positive.\nAnswer: s**(-53\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 23.13. Let j = 5.13 - h. Let q = j + -4.6. Which is the closest to 1? (a) q (b) 0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/3*(-38)\/4. Let o be (-2)\/19 + 16346\/418. Let a = o + s. Find the common denominator of a and -29\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2933404726 rounded to the nearest one million?\nAnswer: 2933000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 24, 5.\nAnswer: -2, 3, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 2 + (2 - 2 - 1)*(0 + 3 - 5) - 3 + 0 - 3 + 3 + 7 - 5)*(4*b - 13 + 15 + 2*b).\nAnswer: 36*b + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 437916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2*22\/396*-15)\/((-10)\/(-108))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-363))\/(((-96)\/54)\/(-8))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.65 - 8.65. Which is the second smallest value? (a) 1\/3 (b) t (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 11*c + 1. Let w(b) = -b. Let q = 9 + -3. Let m(u) = q*w(u) + x(u). Let n be m(4). Solve 6*d - 25 = 5*z + d, -4*d + n = -5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 t, and 1 s when three letters picked without replacement from {k: 1, s: 4, w: 8, t: 7}.\nAnswer: 56\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 23*p + 3. Let u be m(3). Suppose -u*c = -73*c + 31. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -440122 (base 6) to base 3.\nAnswer: -1211211212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooooaoooooo. What is prob of sequence oao?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36\/7? (a) 10 (b) -5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*v - 14. Let m be (-1)\/(-1)*(-11 + 0). Let l = m + v. Sort 3, 1, l.\nAnswer: l, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -p - 2, -4*f + 2 = -3*p + 3. Suppose -3*b - 6 = -0. Let y be 4 + (p + 1 - b). Solve 0 = -3*m - k + y, -m - 1 = m - k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*s + 32*s = 4*t - 28, 14 = 2*t + 4*s. Solve 3*z - q + 2*q - t = 0, 3*z + 13 = -5*q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8234950 divided by -1511.\nAnswer: -5450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 4*r = -4302 + 4340, 261 = -17*q + 3*r for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*t**3 - 180 + 14*t**3 + 143 + 37.\nAnswer: -27*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 33, 0 in descending order.\nAnswer: 33, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4382.4131 - -0.178\nAnswer: 4382.5911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -97*t - 189. Let c be o(-2). Solve -5*i - c + 0 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91035?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 4*c - 3*c)*(-4*c + 4*c + 2*c) + (0*c**2 - 3*c**2 + c**2)*(3 + 0 - 1) - c**2 - 3 + 3 - c**2 - 1 + 1 - 28*c**2 + 266 - 2*c - 266.\nAnswer: -38*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25789966.\nAnswer: 2, 181, 191, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3322020020231 + 3?\nAnswer: 3322020020300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 266625 and 15175?\nAnswer: 161841375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28\/9111 or 0?\nAnswer: 28\/9111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 771.\nAnswer: -1\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 426 - 335. Let f = -143 + 157. What is the greatest common divisor of f and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*i + 29*i + 12028 - 267958. Is i a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59.5 or 0.0013?\nAnswer: -59.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4044*t**3 - 6134.\nAnswer: 12132*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 15. Let i(m) be the second derivative of -m**4\/12 - 7*m**3\/6 - 3*m**2\/2 + 6*m. Calculate the remainder when 19 is divided by i(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by -70721.\nAnswer: 22\/70721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 4*w + 8, 2*s + w + 4 = 3*s. Let n be (1 - 0)\/((-1)\/(-1)). Which is greater: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**3 - v**3 + 2*v**3 + (0*v**3 + v**3 + 0*v**3)*(0 - 7 + 3).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*s - 21 = 134, 3*s - 161 = -2*z. Let n = z - 49. Factor w**2 - 2*w + 0*w - 10*w + n.\nAnswer: (w - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 4*b = -690. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + o + 4. Let g be b(0). Differentiate 2*r**2 + g - 2*r**2 + 5*r**2 + 0 with respect to r.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 13. Let t be r(11). Let f be 3\/(-12)*(-33)\/(-66). Which is the biggest value? (a) 9 (b) f (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -3*p**5\/10 + p**4\/3 + 6*p. Find the third derivative of x(w) wrt w.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 3:57 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -411 + 432.3. What is y rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -230?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13\/4 of a day?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -8*v**3 + 42*v**2 - 12*v - 1. Calculate q(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368 = 15*v - 17*v - 2*x, 0 = v - x - 176. What is the smallest common multiple of 504 and v?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ch when two letters picked without replacement from {e: 3, c: 8, o: 6, a: 1, h: 1}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69.1 - 66. Let u = t + -3. Suppose 2*h = -8, 127*f - 124*f - h = 10. Sort f, 0.2, u.\nAnswer: u, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161.18857 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 127. Let l = 112 + j. Suppose x = 120 + l. Round x to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 243 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3285, -3357, -3479, -3651?\n\"Answer: -25*g**2 + 3*g - 3263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(16) + -5 - ((sqrt(208) - -2*sqrt(208)) + 2 - sqrt(208)))*-3.\nAnswer: 21 + 45*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38370503, 38370500, 38370497, 38370494, 38370491?\nAnswer: 38370488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/(-70) + (-1 - -5))\/((-10)\/(-4)).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cjc when three letters picked without replacement from ccffffcfjccccfcfjff.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1005)\/1206*96\/(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10\/19 - -132\/323. Let o = -3047\/15 - -203. Which is the nearest to 2\/7? (a) 1 (b) o (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 9. Let r(b) = b**3 - 23*b**2 - 25*b + 21. Let n be r(24). Let s(l) = l. Let a be s(n). Let f(m) = m**3 + m**2 - 3*m. Let c be f(a). Give w(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10473893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00801 rounded to 4 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + -13. Let q = -20 - f. Suppose -u + 6 = q*u. Solve 0 = h + u*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hi when two letters picked without replacement from rirhrrriirrrrhr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + -2 + sqrt(104)\/sqrt(8)) - (1 + sqrt(91)\/sqrt(7) - sqrt(1872)*-2))**2.\nAnswer: 572*sqrt(13) + 6461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from bblllbfbrbbbrbf.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + q + 1, 0*o - 4*o - 5 = 5*q. Suppose -4*f + 16 = -o*f. Sort -5, -3, f in increasing order.\nAnswer: -5, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43942, -43938, -43938, -43942, -43950, -43962, -43978?\nAnswer: -43998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152 and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = z - 3011, 0 = -3*z + 12*m - 14*m + 9048. List the prime factors of z.\nAnswer: 2, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-31850)\/52)\/5*(-32)\/40.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3449 - -6023. List the prime factors of c.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72487 = 4116*x - 187735 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87975924 and 4068.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12*8275\nAnswer: 99300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03199426 rounded to three dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - q + 6*q = 20, -5*q = 0. Let r = c - -1. Let o = -3 + r. Let m(t) = -3*t - 1. What is m(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - y = 8*b - 109, -47 = -54*b + 51*b + 5*y for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -387999383\/3927 + 98803. Let u = j - -47150\/51051. Suppose -10\/13*z**3 + u*z**2 - 16\/13 + 2\/13*z**4 + 8\/13*z = 0. What is z?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -8. Let k = -5.1 - -2.1. What is the second smallest value in -2\/11, k, d?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68071.1 meters in millimeters?\nAnswer: 68071100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 0 + k**2 + 0*k**3 + 1\/12*k**4 + 4*k. Suppose -3*l = -6 - 3. What is h(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 1\/60*j**6 + 0*j + 0 + 1\/15*j**5 + 0*j**3 + j**2 + 1\/12*j**4. Solve t(q) = 0 for q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-8) - (-100)\/(-600). Which is the third smallest value? (a) -5\/7 (b) l (c) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 1 (c) 2\/11 (d) -106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 474 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 10:39 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1169 * -0.0265047.\nAnswer: 30.9839943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1303491132.\nAnswer: 2, 3, 36208087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148012569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*g + 1, d - 3*d + 2 = -3*g. Let c be (-56 - -286)\/(1\/(-2) + d). Suppose 0 = 23*k - 25*k + c. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*y**2 - 17*y**2 + 11*y**6 - 12*y**2 wrt y.\nAnswer: 1320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8789, -8787, -8785?\n\"Answer: 2*r - 8791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/(sqrt(8) + sqrt(8) + sqrt(72)) - sqrt(99)*5) + ((sqrt(77) - sqrt(77)*-1)*-6)\/((sqrt(700) - -2*sqrt(700)) + sqrt(7)))**2*-3.\nAnswer: -182863428\/24025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 6:31 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 400496 - -0.1?\nAnswer: 400496.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/127232 and 31\/6934144?\nAnswer: 13868288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**2 + 9*p + 6. Let n = 2 + 6. Suppose -97 = -15*g + n. What is the tens digit of b(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f\/f**5))\/f*f)\/(f*f\/(f*f**5)*f*f))\/(f\/f**2)**(-23\/4))**43 assuming f is positive.\nAnswer: f**(215\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 237269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**5 - 10*r**4 + 565*r**3 + 1650*r**2 = 0 for r.\nAnswer: -10, -3, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(8\/3)\/y)\/y)**(-2\/7)*(y\/y**(-1\/5))**(-1\/39))**(-11) assuming y is positive.\nAnswer: y**(3322\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1558 + -1557. Let q = -232299\/11 + 21484. Let t = 367 - q. Is t < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -1243.\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 + 84. Solve 5*w - 21 = 3*p, -m*p + 2*p - 8 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00051557 to 5 dps.\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**2\/5 - 31576179*q\/5 + 31576178\/5 = 0.\nAnswer: 1, 31576178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 43 and 659405530023.\nAnswer: 659405530066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -2. Suppose -o + m*o - 2 = 0. Suppose p = 3*a - 49, a = -o*a + 3*p + 57. Solve b = 6*b - a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 1519*t + 15273. What are the prime factors of r(-7)?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51128550 divided by 5.\nAnswer: -10225710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qn when two letters picked without replacement from {q: 1, z: 2, n: 1, t: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 2*y - 5. Let f be k(4). Find n, given that 0*n**4 - 6*n**2 + 15*n**3 - 17*n - f*n**4 - 10*n + 3*n = 0.\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1646, -3345, -5096, -6899, -8754, -10661, -12620?\n\"Answer: -26*y**2 - 1621*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/2 of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 9 + 4 = 0. Let h(d) = d**3 + 14*d**2 + 13*d + 9. Let w be h(v). What is the third derivative of 5*q**2 - 14*q**2 - w*q**5 - 28*q**2 wrt q?\nAnswer: -540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -201318, -199920, -198522?\n\"Answer: 1398*x - 202716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 69\/2014 (b) -1\/2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1756358\/23 + -76388. Let o = i - -10147\/460. What is the common denominator of o and (4\/(-60))\/(2\/5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 437 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101 (base 2) in base 8?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 66591 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1167543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*n - 21 + 3, 4*n + 210 = 5*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -893882\/155 + 5767. Is 1 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 184695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-2*(sqrt(196)*3 + sqrt(196) + sqrt(196)))\/sqrt(4))\/((sqrt(35)\/(1*sqrt(5)) - sqrt(7)) + sqrt(175)*3).\nAnswer: -2*sqrt(7)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 61256*c + 62582*c to w*c + p and give w.\nAnswer: 1326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 6*n + 15. Give z(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, j: 1, k: 1, f: 2, v: 1, u: 1}. Give prob of picking 1 j, 1 m, and 1 v.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7.7387 and -1.\nAnswer: -8.7387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eme when three letters picked without replacement from mmmmmmemmem?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1169874760?\nAnswer: 2, 5, 23, 1271603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7172 is divided by 342.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (87*w + 224*w + 73*w)*(-2 + 1 + 0 + (-1 - 1 + 3)*(4 - 4 - 2) - 1 + 1 + 1 + (0 - 1 - 1)*(-7 + 1 + 4))*(-4 + 5 - 3) to the form f + k*w and give k.\nAnswer: -1536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173, -286, -397, -506, -613, -718?\nAnswer: -821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, -24\/11, -1\/6, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417731 is divided by 208861?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -155, 2, 3\/4, -40?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 p, and 1 y when four letters picked without replacement from cgggyyycegpycp?\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 3*u**2 - 3*u + 1. Let i be d(-3). Which is the second smallest value? (a) i (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(-1\/2)))**(-8\/9)\/(m\/(m**(1\/4)\/m))**(-6))\/((m**(-1)*m*m)**(1\/4)*(m*m**2)\/(m**4*m)) assuming m is positive.\nAnswer: m**(457\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 46, 52, 58, 64, 70, 76?\n\"Answer: 6*z + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*v - 132 = 0, 2*n - 4*v = -n + 89. Suppose n = 5*o - 55. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -5\/24*b**4 + 1\/20*b**5 - 25*b + 0 + 0*b**2 + 1\/360*b**6 + 7\/6*b**3. Let a(o) be the second derivative of l(o). Give a(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d. Suppose 5*i + 7*l + 15 = 2*l, 0 = -l - 5. Give m(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8372 - 452 = 80*c. What is the smallest common multiple of c and 39?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*i - 24938 + 25926 = -15*i for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 567545701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/83456 and -71\/16983296.\nAnswer: 33966592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1375, 2329, 3283, 4237?\n\"Answer: 954*n + 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/85))\/a*a**(-30)*a assuming a is positive.\nAnswer: a**(-2467\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8827, 3477, 23977, 52667, 89541, 134593, 187817, 249207?\n\"Answer: -j**3 + 4104*j**2 - j - 12929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49247592.\nAnswer: 2, 3, 31, 37, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2*771)\/(-3) + 3. Suppose -3*s = -5*n - 0*s - o, -2*n + 4*s = 218. Let f = 147 + n. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20168917, -40337829, -60506741, -80675653, -100844565?\n\"Answer: -20168912*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -1. Let w(r) = 17*r**3 + r**2 - 1. Let k be w(s). Let q be (117 - (-10 + 25))\/(4\/2). What is the greatest common factor of k and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56025025 divided by -11205005?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*u**4 - 159*u**3 + 18*u**2 - 182 wrt u?\nAnswer: 168*u - 954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-48)\/(-5)*80\/12. Let w be 6 - 4 - -4 - -2. What is the highest common factor of w and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 1247 = -362. Let g = 124.301 + -123.901. What is the smallest value in g, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 4.03404 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6, -0.4, 9\/143, -37\/34, -0.5?\nAnswer: -37\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 2*m = 2, 9*a + m + 4*m - 18 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 t when four letters picked without replacement from {j: 5, t: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*d*m**3*n**2 + 15976*d*m**3 - 114*d*m**2 - 2*d*m*n**2 - 23*m**2*n**2 - m**2 wrt m.\nAnswer: -36*d*n**2 + 95856*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5923*l**4 + 6*l**3 - 9*l**2 + 57687280 wrt l?\nAnswer: 23692*l**3 + 18*l**2 - 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 159730?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5088 - -40625\/8. Calculate the common denominator of y and 2\/12 - (3 - (-366)\/(-36)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 5*u**2 - 7*u - 4. Let w be v(-6). Let y = -6 + 22. Let f be y\/9 - (-4)\/18. Solve -4 = w*n - f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1115 divide 87587967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 2:09 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3341*f*l*v**3 + 8*f*l*v**2 + 1249*f*l*v*y**3 + 11*f*l*v*y**2 + 39*l*v**3*y**3 + 10*l*y**3 + 2*v**3*y**2 wrt y.\nAnswer: 7494*f*l*v + 234*l*v**3 + 60*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/8 + 32365*m\/8 + 1964112.\nAnswer: (m + 493)*(m + 31872)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20\/3914641 - 37596200704\/2243089293. Let q = 18\/191 + f. Calculate the common denominator of ((-4)\/66)\/((-1)\/57) and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - -223. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 26 + (-4 - -1 - 6)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 689\/4 and 171 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 944054 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**4\/6 + b**3\/3 - 2*b**2 + 6*b. Let w be t(-3). Find the third derivative of w*h**2 - 2*h**2 - 8*h**5 - 13*h**2 wrt h.\nAnswer: -480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*m**3*t**5 - 4*m**3*t**4 - 165*m**3*t - m**2*t wrt t.\nAnswer: 180*m**3*t**3 - 48*m**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 + 0*s**3 + 3*s**3 + (0*s - 6*s - 5*s)*(0*s + 0*s + 2*s**2) + (-2 - 2*s**2 + 2)*(-2*s + 4*s - 3*s).\nAnswer: -17*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*q**4 + 0 + (16*q + 50*q - 21*q)*(-6*q**3 + 2*q**2 - 2*q**2).\nAnswer: -272*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2113024*a**2 + 2705*a**3 + 4226041*a**2 - 2113017*a**2 - 2707*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -814226 divided by 14.\nAnswer: -58159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/84*(-96)\/(-8))\/(-9*(-65)\/(-546)).\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 22*i**2 + 20*i + 84. What is the least common multiple of r(-6) and 210?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -20. Let p = 15 - k. Let q = 8\/21 - 5\/7. Put -0.2, p, q in descending order.\nAnswer: p, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00218529106 rounded to 5 dps?\nAnswer: -0.00219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 2*w - 15, 2*d = -3*d + 3*w - 24. Put -2, -5, d in descending order.\nAnswer: -2, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 + 6 - 1)*(14 - v + 67 + 3*v) + 6 - 4*v - 5*v + 10*v as r*v + m and give m.\nAnswer: -885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339978505?\nAnswer: 5, 67995701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -2. Let f(q) = -q**2 - 5*q + 1. Let d be f(-6). What is the units digit of ((-7)\/d)\/(b\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 4*n - 22, -3*q - 2*n - 3*n + 26 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**4\/12 - 5*q**3\/6 + q**2. Let p be t(-3). Solve -3 - p = -4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27516387, 110065548, 247647483, 440262192, 687909675, 990589932, 1348302963?\nAnswer: 1761048768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 126*d**6*y + 2*d**2*y - 2*d*y + 28*y wrt d.\nAnswer: 15120*d**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*v\/(v\/(v*v\/v**(-7))*v*v)*v*v\/((v*v**(1\/4)*v*v)\/v)*(v\/(v**(-1\/3)*v)*v)\/v**8)**(-1\/5) assuming v is positive.\nAnswer: v**(-37\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 20*n**2 - 16*n + 336. Let l be x(20). What is the greatest common factor of l and 5008?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-141)\/13 - ((-211)\/65 - 10251\/(-3015))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1897 divide 142865370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 3*g = -3, -14*h + 5*g - 149 + 147 = 99 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-38)\/(-3) - 6\/9. Suppose 2*o - 30 = j. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 481806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 8. Let f = -5 - -2. Let r = f - h. Which is the closest to r? (a) -0.4 (b) 1\/2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*(r**(-13)\/r)\/r*r)*r**(4\/5)*r*r**(-21)*r*(r\/(r*r*r\/(r\/(r**(-11)\/r)*r)))\/r)**(-4\/17) assuming r is positive.\nAnswer: r**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 2*u - 3*u)*(-5 - 3 + 4) - 4*u + 5*u - 2*u + u - u + u + u + 0*u + u + (3 - 5 + 3)*(-3 + u + 3).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 2*d**2 - 4*d + 32. Calculate the remainder when 114 is divided by p(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120862?\nAnswer: 2, 7, 89, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 68667.\nAnswer: 618003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -108894 or -108892?\nAnswer: -108892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146 and 45793995.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*v**4 - 2*v**3 - 8*v**2 + 2*v.\nAnswer: 2*v*(v - 1)*(v + 1)*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(10\/4 - 2). Suppose 8*k + 15 = 3*k, -4*g - k + 9 = 0. Solve g*q + y*q = 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x. Let b be (-4 - -3) + 4 - 1. Let y(u) = 0*u**2 + 5*u**2 - 22*u**b. What is y(n(j))?\nAnswer: -68*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (62\/(-22) - -2) + 2\/(-11). Let q be 1*4\/(-134) + 0. Which is the biggest value? (a) q (b) r (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 + 17516*t**2 + 19096576*t - 173290896.\nAnswer: 4*(t - 9)*(t + 2194)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**5 - 41400*b**4 + b**3 - 426922*b wrt b.\nAnswer: -20*b**3 - 496800*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -0*j + j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, n: 6, t: 3, l: 2}. Give prob of sequence eeln.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 924645088.\nAnswer: 2, 28895159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 368, 1, 20 in descending order.\nAnswer: 368, 20, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 3*z**2 + 2*z + 3. Let y be t(3). Let b = -24 + y. Let i(k) = -34*k - 9. Is i(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 283758 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*15*(-7)\/(-84)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.00663 * -0.14.\nAnswer: -0.2809282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*l - 4*i = 16, 4*l + 3*i = 19. Suppose -3*p = 2*b + 4, 4 - 22 = -l*p + 2*b. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621173?\nAnswer: 7, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 0)\/3*1. Let w(o) = -42*o**3 + o**2. Is w(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2187518 micrograms to nanograms.\nAnswer: 218.7518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3653354 + 4*w + 3653354.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a meter in centimeters?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -428606 (base 10) to base 3.\nAnswer: -210202221022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -39197*b + 236219. Calculate y(6).\nAnswer: 1037","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-32)\/12*(-43 - 2). Solve -20*h + r = 60 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57719879 to the power of 1\/2, to the nearest integer?\nAnswer: 7597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-816)\/(-2431) + (2\/(-13) - 0). What is the second smallest value in 1\/7, w, -4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o**2 + 78*o + 4. Let v be t(-13). Let x(l) = 3*l**2 - 7*l - 5. Give x(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + sqrt(192) + -4 + (0 + sqrt(192) + -3 - (sqrt(192) + 5*-1*sqrt(192))))**2.\nAnswer: -864*sqrt(3) + 6993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 46 + 20 + 1 - 11 + 23*a. Let v be b(17). What are the prime factors of (12\/(-36))\/((-1)\/v)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 6*z - 764 = -7*z, 4*y + 4*z = 752. Calculate the highest common factor of y and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10 - 6)*2\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 22. Let q be 15\/l*4\/6. Solve 4*g + 8 = -5*h, 3*h + 2*g + q + 3 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 2*r**2 - r - 2. Let j(s) = -368*s**3 - 33*s + 24 + 205*s - 208*s**2 + 416*s**3. Let x(z) = -4*c(z) + j(z). Factor x(f).\nAnswer: 4*(f - 2)**2*(13*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218815 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 489847 (base 11) to base 2.\nAnswer: 10111101000010111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*x + 19. Let g = x - -21. Solve t = -g*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 10*f**3 - 6*f**2 + 9*f + 58. Determine o(-4).\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -1718*h**3 - 2*h**2 + 6*h - 4. Let i(u) = 99645*u**3 + 117*u**2 - 351*u + 234. What is 117*g(b) + 2*i(b)?\nAnswer: -1716*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -25\/258 (b) 0.3 (c) 4\/7 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1015\/6699)\/(60\/(-72))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0437127 to three dps.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1102 and -0.2.\nAnswer: -1102.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -154 + 152 - (11 + 7) - 17\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*l + 3*l - 11438 = 0. Let y = 97 + l. What are the prime factors of y?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**4\/24 + 2*t**2. Let b(d) = 2*d**2. Give q(b(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/1144 and -101\/122?\nAnswer: 69784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44900 by -4.\nAnswer: 11225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 6 = -0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*o - 2208 = -50*o. What is the nearest to o in 0.1, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*i - 15, 0*q + 3 = 2*q - i. What is the third derivative of -y**4 + q*y**2 - 2*y**2 + 2*y**4 wrt y?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 h, 1 k, and 1 w when four letters picked without replacement from {u: 1, w: 10, k: 3, h: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 185895*o**4*q - 13*o**3 - 9*o**2*q - 791314*o*q - 5*o + q wrt o.\nAnswer: 2230740*o**2*q - 78*o - 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110 + 233?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42103803 to the power of 1\/2, to the nearest integer?\nAnswer: 6489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**3*r**3*s**2 + 115*h**3*r**3 - 2*h**3*r**2*s + 4*h**3*s**2 + 2*r**3 - 5 wrt r.\nAnswer: 6*h**3*s**2 + 690*h**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23358, -93328, -209912, -373110, -582922, -839348, -1142388?\n\"Answer: -23307*f**2 - 49*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3956452 days to hours.\nAnswer: 9.4954848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 448378 divided by -30\nAnswer: -224189\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7912 and 1.\nAnswer: 7912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 11*b + 20. Let q be x(9). Suppose 5*l - q*m + 15 = -3*m, l + 2*m = 6. Sort -38, l, -1, -5.\nAnswer: -38, -5, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148638 divided by 3.\nAnswer: -49546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -5 - 1 - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (39\/26)\/((-1)\/(-2)). Let d = m - 0. Suppose d*a - g - 34 = 0, -4*a - 2*g + 58 = 3*g. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 348*g**5 + 6*g**4 - 2*g**3 + 2*g**2 - 8892 wrt g?\nAnswer: 20880*g**2 + 144*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + -6*sqrt(180)*-1 + (sqrt(180)*1 + sqrt(180))*6 + 4 + 5)**2.\nAnswer: 2052*sqrt(5) + 65061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w - 56 = -29*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 32 + 6\/(-18)*-12. Let b be 63\/3 + (-3 - -6). Calculate the greatest common factor of b and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -3 - 10) + -42 + 29?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -782, -565, -212, 271, 878?\nAnswer: 1603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1527844 = 230*g + 345414. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.4 (b) -2\/175 (c) 0 (d) -10\/2713\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -854115 bigger than -854115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/((-195)\/(-189)) - (-2)\/13. Let h = 14 - y. Calculate the remainder when ((-70)\/4)\/1*-2 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-7 - (-13 + -4 + 10)) + -7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1251359, 1251347, 1251345, 1251359, 1251395, 1251459?\nAnswer: 1251557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -2\/9, -2.13, -0.035?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -11*h**2 + 5. Let u(g) = -13*g**2 + 2*g**2 + 11*g**2 + 15*g**2. Give u(q(f)).\nAnswer: 1815*f**4 - 1650*f**2 + 375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (8 + 5) - 7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 9*t - 3. Let s be k(1). What are the prime factors of 278\/s + (-2)\/(-6)*-1?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h + 2. Let d(i) = i**2 + 4*i - 7. Let q be d(-5). Let w(a) = 2*a + 2. Suppose 0*l - 4*t + 26 = 2*l, 5*l + 3*t - 30 = 0. Determine l*w(p) + q*y(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 333 (b) -1 (c) 3\/7 (d) -0.3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 - 2)*(-4*z + 4*z + z)*(4 + 3 - 2).\nAnswer: -30*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/1278 and -19\/269658.\nAnswer: 269658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**2 + 5*g**2 - g**3 + (0*g + 3*g**2 + 0*g**2 + 4 + 2*g)*(306*g + 123*g - 71*g).\nAnswer: 1073*g**3 + 716*g**2 + 1432*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 7*w**2 - 7*w + 6. Let r be x(6). Solve 2*h = -r - 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1653577671?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2057.5 + -2058. Let f = 0.356 - -0.044. Which is the fourth smallest value? (a) f (b) o (c) -4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4549361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5201 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: What is the third root of 7847978 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**3\/5 + 2716*f**2\/5 - 182776*f - 5581488\/5 = 0. What is f?\nAnswer: -6, 682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -91, -172, -253, -334, -415, -496?\n\"Answer: -81*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 79065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 7 - 5 + 1 + 6*x**3 - 5*x. Let p(o) = o**3 - o + 1. Suppose -4 = 5*c + 1. Calculate c*k(b) + 4*p(b).\nAnswer: -2*b**3 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13613, -29359, -45105, -60851, -76597, -92343?\nAnswer: -108089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 10. Let w(y) = -y - 4. Let x be w(-6). Let t = l + x. Which is smaller: -2 or t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 4, -4 in decreasing order.\nAnswer: 5, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-2)*-1*198\/546975*130?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/7 + 87769*t**2\/7 + 43884*t\/7.\nAnswer: t*(t + 43884)*(2*t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -9601*s + 3. Let r(i) = 14401*i - 5. Let k(w) = -8*d(w) - 5*r(w). Let z(o) = o**2. What is z(k(u))?\nAnswer: 23068809*u**2 + 9606*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 4*z + 2*l - 76, -3*l = 2*z - 26. Suppose 0 = 2*t - t - z. Is 16 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 34*o**2 - 35*o + 492. Is x(31) a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1316*q**2 - 1319*q**2 + 16*q - 23*q.\nAnswer: -3*q**2 - 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s - 23. Let v be b(5). Is v less than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven eighths of a hour?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*v = -48*v + 82*v - 352 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2*-58 + -1. Let h = 43 - g. Find the second derivative of 2*i**5 + i + 15*i**4 - h*i**4 wrt i.\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -517*a - 4137. Determine w(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74935.61 weeks to seconds.\nAnswer: 45321056928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 51\/5 of a microgram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 4*p**2 + 7*p - 7. Let l(w) = w**3 + 3*w**2 + 6*w - 6. Let z(q) = 5*l(q) - 4*u(q). List the prime factors of z(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1486.332908 rounded to the nearest ten?\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 1. Let c(h) = 5*h - 43. Let r be c(9). Sort y, 0, r in ascending order.\nAnswer: y, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 17 - 14. Suppose 10 = -5*y, 4*y = -b + 2*b - 11. Solve l*t + 3 = -b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 489853 to the power of 1\/2, to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37 and 3607.\nAnswer: 133459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95115669 and 9?\nAnswer: 285347007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 13*j**3 - 5*j**2 - 50*j - 40. Let y(r) = 23*r**3 - 14*r**2 - 99*r - 78. Let l(k) = 7*d(k) - 4*y(k). What is l(23)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9523158 milliseconds to minutes.\nAnswer: 0.00001587193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18979629, -18979631, -18979635, -18979641?\n\"Answer: -m**2 + m - 18979629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in -0.5, 0.6, 8, -1, 1\/1225?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 26*q**2\/7 + 5567620*q\/7 + 1284834\/7 = 0?\nAnswer: -214139, -3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 15*y**2 + 3*y. Let k(d) = 46*d**2 + 10*d + 2. What is -7*g(o) + 2*k(o)?\nAnswer: -13*o**2 - o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 193 = 16*r - 195, -38*r + w = -33*r - 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1007034 is divided by 332.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 0*l**3 + 0*l**2 - 1\/6*l**4 + 119*l + 0. Let t(r) = 39*r**2. Give i(t(x)).\nAnswer: -3042*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3890 - 1327.5?\nAnswer: -5217.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 66 + 57 - 7*b - 138 in the form d + y*b and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (907277\/222)\/113 - 33.\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15723 <= 15871?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27443988*c**4 - 2*c**3 - c**2 + 1390150*c - 1.\nAnswer: 658655712*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 7.78113.\nAnswer: 7.88113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3 - 10. Let n be (w\/(-14))\/(2\/(-12)). Let k(f) = -f**2 + 4*f - 2. Let q be k(n). Is q equal to 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, q: 3, m: 1, w: 1, c: 1, j: 2}. Give prob of sequence woom.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 43 * -2\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 131221332 (base 4) in base 10?\nAnswer: 121470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*k = -47*k + 1110. Solve -3*o = -5*o + 3*n - 7, -k*o - 20 = -5*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 148614964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 9:57 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/(-7))\/(91\/((-21658)\/68))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.92 - 7.567. Let p = m - -2.937. What is p rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d + 8. Suppose 4*v - 10 = -2. Let p be s(v). Solve -p + 1 = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*n - 108. Calculate the greatest common divisor of n and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8590, 17179, 25768, 34357, 42946, 51535?\nAnswer: 60124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/4 - 63727*k\/2 + 127453\/4.\nAnswer: (k - 127453)*(k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 11:39 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -52.1 and -4?\nAnswer: 208.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 148.827 + -1.027. Let v = -148 + d. Let g = -0.71 - -1.71. What is the closest to v in 0.1, g, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, a: 1}. What is prob of sequence ccca?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/(16\/(-192)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 279 (c) -0.2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-q + 3*q + 0*q)*(-2 + 1 + 2) - 2*q - 10*q + 5*q - q + 0 + 3 - 2*q)*(-3*q + 6 - 6) to the form d + k*q**2 + n*q and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -30, -345, -1208, -2889, -5658, -9785, -15540, -23193?\n\"Answer: -45*p**3 - 4*p**2 + 12*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 674*j - 25230 + 4298 = 29618 for j.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.81 and 0.4.\nAnswer: 0.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*u - 3*u**6 + 5*u**2 - 11*u**6 - 2*u**3 + 13*u**6 wrt u.\nAnswer: -120*u**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 62?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/218*27\/81*(-86)\/129?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -442*h**2*s**2 + 15*h**2*s + 3*s wrt s.\nAnswer: -884*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**8\/(f*f*f**(3\/4))*f**(-1\/6)\/f*f**2 assuming f is positive.\nAnswer: f**(73\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-23)*o\/(o\/((o*o*o**(-22)\/o*o)\/o))*o**(-20)*(o**(2\/19)*o)\/o)**(-1\/27) assuming o is positive.\nAnswer: o**(1214\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (84\/35)\/((2 + -1)\/5). What is the second derivative of f*u**5 + 179 - 179 - 8*u wrt u?\nAnswer: 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3372003 + -271?\nAnswer: -3372274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*f**4 - 229*f**3 + 6*f**2 + f - 445?\nAnswer: -936*f - 1374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 485142372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*5 + -3 + -5)**2.\nAnswer: -320*sqrt(13) + 5264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 206.5 and 0.1631.\nAnswer: 206.6631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2494 is divided by (250\/(-8))\/(329\/(-1316)).\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 3*k - 9 + 21, -5*h + 29 = -4*k. Suppose -h*p + 19 = 4*s, 0 = 3*p + 2*p + 5. Let t(a) = a - 4. List the prime factors of t(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*3*sqrt(8))\/sqrt(4))**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*k + 49 + 29 + 70*k to w*k + h and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from {r: 2, w: 1, l: 1, h: 2, s: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 54106901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 183?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v - 31*v + 6*v.\nAnswer: -35*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680460568?\nAnswer: 2, 85057571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3 + 114*k**2 + 116*k = 0. What is k?\nAnswer: -1, 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 136 - 210. Let y = 259 + r. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4998\/25 - -200. Let c(d) = d**3 + 81*d**2 - 1329*d - 13. Let g be c(14). Is r smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.187 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*d - 624, 0 = 5*d - 3*v + 413 + 208. Let f be d\/5*40\/(-16). What is the tens digit of (-2)\/(-7) - (-1998)\/f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 45400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -42*g**2 - 13*g - 6. Let k(a) = -7*a**2 - 2*a - 1. Give 39*k(b) - 6*r(b).\nAnswer: -21*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (21 - 4) - 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.405506 rounded to 1 dp?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.07?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/((b\/(b\/(b*b**0)))\/b*b*b*b)*b)**(16\/3)\/(b**(-2\/13)\/(b\/b**(-2\/7)))*(b*b\/(b**(3\/5)\/b))\/(b**(-5)\/b)*b*b**(2\/13)*b**(1\/3)\/b assuming b is positive.\nAnswer: b**(14096\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111105568 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j - 10. Determine q(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z. Let i(y) = -4*y. Let n(t) = -2*i(t) - 3*p(t). Let b(g) = 3*g**2 - 9. Let u(c) = 1. Let o(r) = 2*b(r) + 18*u(r). Calculate n(o(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5556 - 5555. Put j, 15, -29 in ascending order.\nAnswer: -29, j, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4781 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + (-7 - -4) - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -7*r**4 + 24*r**3 + 31*r**2 + 3*r. Let f(a) = 15*a**4 - 48*a**3 - 63*a**2 - 7*a. Let t(z) = -3*f(z) - 7*u(z). Factor t(c).\nAnswer: 4*c**2*(c - 7)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4292 is divided by 43?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c**2 - 7*c - 5. Let w(j) = 3*j**2 - 4*j - 3. Let m(g) = -7*w(g) + 4*y(g). Factor m(q).\nAnswer: -(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -227 by 11.\nAnswer: -227\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1098*h + 223*h + 217422 = -221*h for h.\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9855, -9860, -9871, -9888, -9911, -9940?\nAnswer: -9975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.18 + -0.02. Let x = y - -1.3. Put 7, -2, x in decreasing order.\nAnswer: 7, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 c, and 1 f when three letters picked without replacement from {x: 1, c: 2, m: 3, o: 7, f: 6}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26314, -52604, -78896, -105190?\nAnswer: -131486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 16 = 12. Suppose 2*h = -5*r + a, -h - r + 17 = 2*h. Solve -3*i = -0*i - h, 5*k = -2*i - 11 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(2 + -1) + 2. Let f(x) = 2*x**2 + x. Calculate the least common multiple of f(q) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/6, -2, -26 in descending order.\nAnswer: 2, 1\/6, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2 - 10 = 0. Suppose 3*i - 5*j = i + 18, d*i = 5*j + 36. What is the smallest common multiple of 8 and i?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -38. Let a(t) = t**3 - 5*t**2 - 4*t - 11. Let i be a(b). Let 0*j - 1\/4*j**2 + i = 0. Calculate j.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by -1221372.\nAnswer: -1\/33927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (-8)\/(-3))*59\/(-177)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 11:05 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36041 is divided by 3532.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = s + 4*r, -2*s + 17*r - 8 = 19*r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25.08 - 24. Let p = l + -0.08. Which is greater: -5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 172*y - 26. Let p be r(20). Suppose 4*c - p - 3966 = 0. Let s = -1102 + c. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 205*v + 3. Let g be d(1). Suppose -g - 37 = -7*r. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f. Let x(v) be the third derivative of -v**4\/6 - 5*v**3\/6 + 9*v**2. Calculate x(k(d)).\nAnswer: 4*d - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-4 + 7 + -1) - -6) + -6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 10:29 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**2 - 10*i + 4. Let z be d(-4). Let q(o) = -o**2 - o. Let g be q(0). Which is the smallest value? (a) g (b) z (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 24*s**2 - 42*s - 17. Let r be g(22). Is 27 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 176*q + 340. Let f be t(4). Suppose -k + 1422 = f. Calculate the greatest common divisor of 18 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82 + 406\/5. Let t = 3.61 - -0.39. Which is the nearest to 0? (a) t (b) -0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 813 times -1051070\nAnswer: -854519910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 17\/291, -34, -5, 2\/3, -3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 - 37. Suppose -38 - s = -o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4316142400?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 544 and 4669808?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 1946555*k.\nAnswer: 5*k*(k - 389311)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*n**3 - 3*n**3 + 8*n**3 - 514*n**2 + 3*n**3 + 308 wrt n?\nAnswer: 6*n**2 - 1028*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.22083 + 102.83083. Let r = -100.819 + -0.181. Let f = r + m. What is f rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -143\/9 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -5\/4, 0.694 in descending order.\nAnswer: 8, 0.694, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/10 and (-59 - (-6 - -2) - 1)\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/1109 and 61\/11090?\nAnswer: 11090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**0))\/b)**(3\/2)\/(b**(-1\/3))**49 assuming b is positive.\nAnswer: b**(89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.79 - 13. Let h = 0.71 + t. What is the smallest value in -0.04, 2\/9, h?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/9)\/(189184\/(-1117368))?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j + 3*j + 4*j**2 + 7 + 0*j**2 + 3*j**2. Let r = -334 - -333. Let u(w) = -w**2 - w - 1. What is r*q(s) - 5*u(s)?\nAnswer: -2*s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24389\/2 + 11886. Let j = -301 - u. Suppose 25\/4*s**2 + 0 + j*s - 10*s**3 - 15\/4*s**4 = 0. Calculate s.\nAnswer: -3, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**5\/25 + 47*c**4\/5 - 186*c**3\/5 + 278*c**2\/5 + 74*c + 1. Find d, given that t(d) = 0.\nAnswer: 1, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -33*o**2 + 2*o. Let t(p) be the third derivative of 0*p - 1\/30*p**5 + 0*p**4 - 46*p**2 + 0*p**3 + 0. Calculate t(n(c)).\nAnswer: -2178*c**4 + 264*c**3 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 14. Suppose 0 = -5*v - n*v + 60. Suppose -16*b + v*b = -4. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/37556 or 1?\nAnswer: 3\/37556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2570*u + 1191*u + 1880*u - 358 with respect to u.\nAnswer: 501","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**4\/5 - 4*a**3\/5 - 28224*a**2\/5 - 359424*a - 32292864\/5 = 0. What is a?\nAnswer: -48, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9b13 + 1943a?\nAnswer: b527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11522 - 5432?\nAnswer: 2050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -7. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*k - 0. Let o = k + 8. Let u be 2 + (-5 + o - -2). Is u less than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -8 - 1) + 7 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/6)\/((-13)\/(-39))*(-140)\/(-49).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 763 (base 14) to base 13.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12850 (base 9) in base 11?\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96582290 to the power of 1\/4, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d. Let v(j) be the third derivative of 5*j**4\/24 - 12*j**2. Determine c(v(z)).\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -19236.0315 to the nearest one hundred.\nAnswer: -19200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -45947, -45563, -44925, -44033, -42887, -41487?\n\"Answer: 127*c**2 + 3*c - 46077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 - 17*g - 49. Let p be t(-11). Suppose -18*w + 232 = -p. Calculate the remainder when 95 is divided by w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 669\/103 != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 598852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 42654 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2 + 6. Sort c, -2, 3 in increasing order.\nAnswer: -2, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 133) + -63 + 52 + (55 - 35)?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2\/9 - 4082*j\/9 - 20260\/3 = 0. Calculate j.\nAnswer: -2026, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*y - 3 + (0*y + y - 3*y)*(1 + 6 - 5) + (-2 + 0 + 3)*(-2*y - 3*y + 3*y) + 1 - 1 - y)*(-3*y - 4*y + 4*y)*(2 + 2 - 5).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j**2 + 14*j + 5. Let c(s) = 14*s**2 - 43*s - 14. Let f(v) = -1091*v - 5463. Let r be f(-5). Calculate r*a(d) - 3*c(d).\nAnswer: -2*d**2 + 17*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 31827\/2*a**2 - 131*a + 1\/4*a**4 + 1 + 103*a**3. What is x in i(x) = 0?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 7*x = 6. Let l = 2 + -1. Calculate the least common multiple of x and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2252659 divided by 42503.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 162*c + 161*c = 9, 5*v + 3*c + 22 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 8*v + 2. Let w be d(1). Let s = -9 + w. Let t be 3\/(-6)*0 + -1. Do t and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1833172?\nAnswer: 2, 11, 61, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 23 = -5*c. Let r be 6\/c*20\/(-5). What are the prime factors of 27\/r + 0\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1515)\/(-115) - 5 - 8. Is -1 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 32303?\nAnswer: -32310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, m: 3, q: 4, f: 2}. What is prob of picking 1 c and 1 f?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g. Let p(f) = 6*f - 20*f + 8*f + 7*f. Calculate -6*l(y) - 7*p(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 32 - (-6 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n - 19*n**2 + 23 + 133*n**2 + 16*n**2 + 82*n**2.\nAnswer: 212*n**2 - 2*n + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -5*m**4\/24 + 5*m**2 + m - 6. Factor s(k).\nAnswer: -5*(k - 2)*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(4)*3 + sqrt(1872)*-3)**2.\nAnswer: 14157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 45 from 9273614.789761.\nAnswer: 9273569.789761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/51 + 4\/(-119)*-56. Sort j, 0, -1, -3 in ascending order.\nAnswer: -3, -1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**5\/30 - l**4\/2 + 194*l**3\/3 + 10. Let i(p) be the third derivative of w(p). Determine i(9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 10:00 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -36. Put 5, 3, -5, v in decreasing order.\nAnswer: 5, v, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z - 2*z + z**4)*(6 - 1 + 6) in the form p + d*z**4 + f*z**2 + w*z**3 + y*z and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3880249807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1111503*m**3 + 1676456*m?\nAnswer: 6669018*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-400)\/(-96))\/((-68)\/408).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -241 + 348. Let k = h + -74. What are the prime factors of (k\/(-12))\/((-1)\/4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -12*a - 188. Let v be t(-16). Solve -6*w + 20 + v = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -13*q + 10. Let w(n) = -13*n + 13. Determine 5*h(x) - 4*w(x).\nAnswer: -13*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -17*p + 29. Let o(n) = 9*n - 15. Let z(q) = 3*k(q) + 5*o(q). What are the prime factors of z(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/4 + 6437*a\/4 - 16105\/2.\nAnswer: (a - 5)*(a + 6442)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402 is divided by 75?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 792452071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00141815403 to six dps.\nAnswer: -0.001418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-5\/6)*f*f**(-4)*(f\/f**(-2))**22)**(-9\/11) assuming f is positive.\nAnswer: f**(-1167\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 52 = -26*k + 23*k, 0 = 4*k + 3*o - 62. Let d = -9 + 9.1. Is k > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in -5, 5, 0.3, 124?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*d = 2*k - 5*k + 1726 + 1407, d = -17 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 14440333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7214958 is divided by 366.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2.267586nm?\nAnswer: 0.000000002267586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, -102\/11, 1, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7251*r**2 - 6*r**3 + 7251*r**2 - 2*r**5 + 3 + 5*r**5 + 0*r**5 + 6*r**5 + (-2*r**3 + 0*r**3 + 4*r**3)*(6*r**2 - 4*r**2 - r**2) - 2*r + r**5 + 2*r.\nAnswer: 12*r**5 - 6*r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*j - 3*j, -4*o - 2*j - 1382 = 0. Find the common denominator of 0 - -1 - 140\/6 and (o\/(-54) - 4) + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**3 + t**2 - t**2. Suppose 0 = -28*u + 32 - 116. Let k(y) = y**3. Calculate u*k(x) + q(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (744 - 762 + 4*o**3 - 3*o**3 - 2*o)*(-o - o + 3*o) in the form f*o**2 + g*o + c + h*o**3 + z*o**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-10))\/((-2)\/20). Suppose -x + 212 = 3*x - w, -258 = -5*x + b*w. Let z(c) = -c + 9. What is the lowest common multiple of x and z(5)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78608 is divided by 1786.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-14 + 3))*1\/(-2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 5*c**2 + 8*c + 213. Determine f(0).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8641 + -8507. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**2\/3 + 3992*p\/3 - 613120\/3 = 0?\nAnswer: 160, 3832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 236977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 400098 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 12, d: 2, r: 3}. Give prob of picking 2 z.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1911 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -503863?\nAnswer: -2\/503863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*w - 30, -5*w - 6 = -4*h + 11. Let r be 8\/5 + 4\/10. Let p(i) = -6*i + 4*i**2 - 4 - 2*i**r - 3*i**2. Give p(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -6*j. Let l(s) be the third derivative of -s**7\/720 - s**5\/30 + s**2. Let u(f) be the third derivative of l(f). Determine -6*a(n) + 5*u(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7 + (-546)\/(-45) + 4\/(-30). Suppose 0 = t*n + 4*f - 8*f - 26, n + 3*f = -10. Let c be 0 - (3 - 21 - -2). Solve 4*w - n*w - 3*b = 20, c = -4*b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -4*v**3 - 423420*v**2 + 3387568*v - 5081424 = 0.\nAnswer: -105863, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91 + 15 - 203)*((-3 - 2 + 3)*(-2*i + 3*i + 0*i) + 3*i - 2*i - 3*i).\nAnswer: 1116*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -435*w - 20915. Determine f(-48).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7422553713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*((-4*(0 + sqrt(2448)))**2 - (1*sqrt(2448)*-4)**2 - (((sqrt(2448) - -1*sqrt(2448)) + 3)**2 - sqrt(2448)*-1*-4)).\nAnswer: -78408 - 768*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 13889379?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2033 + 2029. Sort 2, 21, 1, y.\nAnswer: y, 1, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*11 + -10 + 11. Suppose 15 - 93 = -2*b. Let u = b + i. Is 29 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -184621*h**4 + 2*h**3 - 7*h**2 + 3038*h - 2 wrt h.\nAnswer: -4430904*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -466185\nAnswer: 11\/466185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q. Let g(w) = 13*w - 97. Let m be g(7). Calculate the least common multiple of c(m) and 68.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 14743169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 72678218 to the power of 1\/4, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -104883594.16255 and 1?\nAnswer: 104883595.16255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 898 = 23*y + 6*y - 1683. Which is bigger: y or 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82208584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20236?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 735 and 87596222?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, 10, 2, 475?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2664 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 703593139 is divided by 341.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-7)*(-12)\/6?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/21, -1 in decreasing order.\nAnswer: 2\/21, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-90)*-3 - (-4)\/20?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2214 divided by 123\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 57*s**3 + 36006*s**2 + 2311737*s - 2347800 = 0.\nAnswer: -559, -1400\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (4150\/498 - 11\/(-3))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q + 2. Let y be f(2). Suppose 0*z - 5*a = -z, -3*z + 5*a + y = 0. Solve -9 = 2*c - z*s, 2*s - 15 = -3*s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllllll. Give prob of sequence llll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 2:44 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 225 = 5*w, 2*w = -2*w - 2*q - 180. Let r be -3*2\/w*3. Let x = 0.42 - 0.02. Which is the nearest to r? (a) 4 (b) x (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258 divided by 7?\nAnswer: 258\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 44 + 12. Let m = n + 27. Let s = -35 + 35.2. What is the closest to m in 4\/5, s, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 811439.\nAnswer: 379, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1039702?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -284 + -166825?\nAnswer: -167109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - 5996?\nAnswer: -6002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t**3 - t**2 - 21*t + 3. Let w(k) = 8*k**3 + k**2 + 27*k - 4. Let g(a) = 4*n(a) + 3*w(a). Give g(-3).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1220231331101 - -11?\nAnswer: -1220231331030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(3\/13))**48\/(g**1\/g*g*g\/g**(-1\/4)) assuming g is positive.\nAnswer: g**(1803\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408 is divided by 137?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.22 (b) -170\/3 (c) 5 (d) -2 (e) -0.3 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 11*j. Let z(l) be the first derivative of 0*l**2 + 0*l + 27 + 4\/3*l**3. Determine z(a(c)).\nAnswer: 484*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 8*b**2 - 8*b + 12. Let v be u(7). Suppose -197 = -v*t + 2408. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -24. Solve 2*u - z = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 955004895.\nAnswer: 3, 5, 13, 1632487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -751*l**3 - 1030*l?\nAnswer: -4506*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 9\/2*m**2 + 0*m + 6 + 0*m**3 - 3\/4*m**4. What is the second derivative of o(w) wrt w?\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -6, 3 = -3*i + 3*o + 36. Let j be (90\/(-21))\/((-2)\/i). Suppose 2*a - 3*a + j = 0. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1218 + -1194. Solve -52*a + 44*a = d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 799.4465 to the nearest ten.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -2*z + 14, h - 3 = -0*h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 2283982.\nAnswer: 5\/2283982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v + 0*v + 9*v to b + f*v and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -v - 4*a, -5*v + a + a + 650 = 0. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 711\/10 - 353\/5. What is the closest to l in 3, -4, 43?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwnwnwwwwwwwwwwwww. What is prob of picking 2 n?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0373609 - 18779?\nAnswer: -18778.9626391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11041 (base 5) in base 16?\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-6 - -6) - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 5. Suppose -15*t + k*t = -2. Solve -4*s + 5*s = -t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6344 and 5551?\nAnswer: 44408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 + 54. Solve -h*i + 9 = -2*o, 5*i - 4*o - 9 = 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10404 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*a**3 + 71*a**3 - 34*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**7)\/((i*i*i**(4\/9))\/i)*i**(-4)*i**(-3\/14)*i assuming i is positive.\nAnswer: i**(-1343\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 198 = 5*x. What is the highest common factor of x and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + 0. 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 t = -112 - -225\/2. Which is the nearest to t? (a) 1 (b) -2\/7 (c) 0.5 (d) -45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**2 - 776*a + 37636 = 0. What is a?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6536.23 nanograms in tonnes?\nAnswer: 0.00000000000653623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 6409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (1 + -2) - (115 + -120)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39871*h - 7*h**2 - 3 - 40009*h - 23*h**2 + 5*h**2 - 6*h**2.\nAnswer: -31*h**2 - 138*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/4)\/((4\/(-8))\/(5\/10)). Solve 276*c - 285*c + 9 = y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000207268 rounded to 5 dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3247*o**2 + 2 + o**3 - 2 + 3247*o**2.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22, 47, 110, 229, 422?\n\"Answer: 3*h**3 + h**2 + h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u**2 + 27*u - 13. Let h(c) = -6*c**2 - 34*c + 15. Let q(i) = -4*h(i) - 5*v(i). Give q(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2 = y. Let b = 31\/222 - -1\/37. Let m = 0.1 - 0.1. What is the closest to m in y, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2. Let b = -91 - -96. Let w(v) = 4*v - b*v + 13 - 14. Let f(r) = -74*r**2 - 2*r - 2. Let o(z) = -f(z) + 2*w(z). Calculate l(o(p)).\nAnswer: -5476*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 - -0.22. Let u = -0.38 - c. Let y = u - -0.3. What is the smallest value in y, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 16*u**2 + 10*u. Let n(h) = -h + 2*h**2 - 2*h**2 - h**2. Let r(j) = 10*n(j) + y(j). Let a(g) be the second derivative of -g**3\/6 + g. Give a(r(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + sqrt(288)*2)*-5 + sqrt(384)\/(sqrt(1200)*2 - sqrt(12)).\nAnswer: -3416*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -4, 119 in decreasing order.\nAnswer: 119, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2. Let o = -30 + 24. Let h be 0\/(4\/6 - 2\/o). Let f(a) = h*a - 5*a - 3*a + 4*a. Give q(f(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -505.0199 + 505. Let d = 1.9801 - u. What is the smallest value in -0.2, 3, -2, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 16*g**2 - 16*g + 21. Let p be z(-15). Suppose -b - p = -3*b. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31795.99987796 - 31796. Round l to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -m - 8. Let b(r) = r**2 - 9*r. Let g(j) = 2*j**2 - 19*j. Give m*g(i) - 5*b(i).\nAnswer: -i**2 + 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -479.1852 + 0.1852. Let p = -455.407568 + -23.586012. Let m = p - t. What is m rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-2))\/((-3)\/4). What is the common denominator of 554\/156 - (-2)\/(-3) and (h\/(-60))\/((-2)\/(-245))?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 4433*n - 53037. Give i(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**2 + o - 7*o**2 + 10*o**2 in the form d*o + z*o**2 + w and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 15, -7 = -3*g + 3*s + 2*s. Let k = g - -7. What is the derivative of -2*d + k - 1 - 5 + 2 wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 6*t + x - 96, 0 = -4*t + 4*x + 72. Suppose 5*a - 89 + t = 0. Suppose -3*j + 46 = 2*o, j - o + a = 2*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*k + 3*g, 3*k - 21 = -2*g - 16. Let l be -2 - -441 - (9 - 4 - k). Calculate the highest common divisor of l and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + 5 + -3 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*((r**(-1)*r)\/r)\/r)\/(r**8\/r))**(-1\/11) assuming r is positive.\nAnswer: r**(7\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*3*(sqrt(85) + -3*sqrt(85)))\/(-2*(3*sqrt(45) - sqrt(45))) + 2)**2.\nAnswer: -2*sqrt(17) + 33\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432306.\nAnswer: 2, 3, 7, 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6676591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c - 23*c**2 + 60*c**2 + c - 36*c**2. Suppose 2*l + 0 = -10. Determine t(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 331413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 5*j**2 + 9*j + 11. Let i be d(-6). Let k = i + 4. What is the nearest to -0.15 in 3\/5, 0.3, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 9, -1\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*a - 5*w + 16, -2*w = 4*a - 12. Let h = a + -1. Factor r**2 + 0 + 1\/2*r**h + 1\/2*r.\nAnswer: r*(r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19699680 divided by -15785?\nAnswer: 1248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*s + 10, -3*s - r = 2*r - 33. Let o be (-4)\/(-6)*45\/s. Suppose 4*v - o - 3 = 0. Solve 2*k = -5*q - 3, -1 = 2*k + v*q + 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (9 - 4 - 1) - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**2 - 3*a + 2. Suppose -5*l + 5*m + 25 = 0, -3*m - m = l. Let y(u) = 7*u - 4 + l*u**2 - 2*u + 2*u**2. Give -5*j(h) - 3*y(h).\nAnswer: -3*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2. Let v(p) be the second derivative of p**4\/2 + p. Calculate v(w(y)).\nAnswer: 24*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**6\/120 - 3*x**5\/10 - 17*x**4\/24 + 17*x**3\/3 + 730*x**2 - 1. What is the second derivative of w(p) wrt p?\nAnswer: -6*p - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 18 = d. Suppose 0 = -d*o - 218 + 1424. Let m = o - -15. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*u = 35*u - 20*u + 1224. What is the remainder when 68 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-665)\/(-175))\/(4*(-8)\/160)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 1 - 5. Let j = 8 - 12. Which is the third biggest value? (a) o (b) 2\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20840422*j**3*l**3 + 432*j**2*l**3 - j**2*l**2 + 2*j**2 + 2*j*l - 134*l**3 + 53*l**2 wrt j?\nAnswer: -125042532*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.4642 + -0.5358. Which is the third biggest value? (a) -3 (b) -0.3 (c) x (d) 0.1 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**6\/40 - o**5\/6 + o**4\/6 + o**3\/2 + 9*o**2. Let z(l) = 3*l**3 - 9*l**2 + 3*l + 3. Let c(n) = -6*d(n) + 7*z(n). Factor c(m).\nAnswer: 3*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1232 + -138. Is 16 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 5*s - 8265, 5*a + 8*s = 4*s - 8262. Let g be 2754000\/9*(-7)\/(63\/a). Round g to the nearest one million.\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/109920 and -31\/608.\nAnswer: 2088480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -365*a**2*u**2 + 3*a*u**2 + 32*a*u wrt a.\nAnswer: -730*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-9)*c)**(9\/13)*c**(2\/9)*(c**(-5\/4)\/c)\/c)**22 assuming c is positive.\nAnswer: c**(-44099\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -499 - -503. What is the smallest value in -2\/15, c, 3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 7*u**2 - 4*u + 32. What is x(-7)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 1314921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2061 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(-2))\/(-5)*-6. Suppose -v*p + 25 = 5*a, -a - a = 5*p - 29. Solve 0 = -p*y + 10 + 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -102.45072 * 3.4.\nAnswer: -348.332448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.5390685 + 141\nAnswer: 139.4609315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 2*t**2 + t**2)*(69*t - t**3 + 55*t - 179*t).\nAnswer: -t**5 - 55*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46040 and 45064.\nAnswer: 259343320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.066 times 0.5\nAnswer: 0.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 6*i = -11*i - 11, 5*x = -3*i + 12. Let t(d) be the third derivative of 15*d**2 + 1\/12*d**4 - 1\/60*d**6 + 0*d**5 + 0*d + 0 + 0*d**x. Factor t(l).\nAnswer: -2*l*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1412 (base 5) in base 4?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 12:40 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*m + 44*m - 83. Let p = m - -96. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -8*z**2. Let c(d) = 11*d + 13. Let n(j) = 6 + 0*j + 2*j + 3*j + 0*j. Let k(i) = -6*c(i) + 13*n(i). What is s(k(x))?\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 498769 to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smps when four letters picked without replacement from msspppp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.33 + 0.63. Let k = -0.6 + 0.1. Which is the closest to l? (a) k (b) 3\/2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 20*r - 73. Let n be l(-5). Find the second derivative of -121 + 130 - 4*d + 14*d**5 - n*d**2 + 2*d**2 wrt d.\nAnswer: 280*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**5\/5 + 5*r**4\/12 - 169*r**3\/6 + 27*r**2. Is 51 a factor of h(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 11. Suppose -d = -a - 135. Does 46 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**3 - 2*k**2 + k. Let s be (18\/(-3))\/((-9)\/(-12)). Let g be (s\/3)\/(8\/(-12)). Suppose 3*w + g = -w, 0 = -3*h + w + 4. Give b(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - (-5)\/1)\/(63\/2226). Is 105 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 9:21 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k - 26*k = -4*a - 20, 0 = 3*a - 6. Let c = 10 - 6. What is the nearest to 1 in k, 4\/5, c?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.35 - -0.03. Round v to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1912006 (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -6414130?\nAnswer: 2\/3207065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4262 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssjsiisissiiiism. Give prob of sequence sm.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1992861 and 6099?\nAnswer: 4051486413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 202342 divided by 25?\nAnswer: 202342\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 21. Suppose 4*q - 9 - 31 = s*k, -k = 0. Suppose -3*f = 4*n - 0*n - 121, -82 = -2*f - 4*n. What is the remainder when f is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, l: 14}. What is prob of picking 3 h and 1 l?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*s = -33338, 4*r + 2*s + 16674 = 2*r. Let n = 1051 - r. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 10*f + 11. Calculate the lowest common multiple of 4 and z(-10).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yi when two letters picked without replacement from {y: 3, s: 6, o: 1, x: 1, i: 6, u: 3}.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -25564 (base 9) in base 15?\nAnswer: -518a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = -6*r - r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 70257.53 litres in millilitres?\nAnswer: 70257530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 2*c + 4 = -5*c, 5*t - 13 = -c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8.5331 from 11.\nAnswer: 19.5331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*c**4 - 236*c**3 + 60*c**2 = 0. Calculate c.\nAnswer: -15, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/4*(-24 - 0). Sort 4, b, 2, 1 in decreasing order.\nAnswer: b, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -483 (b) 0.5 (c) -1.4 (d) -0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = d - 107, -76*k + 80*k - 3*d = 127. Let j be ((-194)\/(-582))\/(k\/(-30) + 1). Solve 0 = -2*s + s + j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 + 0*u + 0*u + (0 + 2 - 1)*(-u**2 + 2 - 2) - 4*u**2 - u**2 + 4*u**2 - u**2 - 2 + 2 - 80 + 80 - 121*u**2 + u**2 - 3*u**2 + 0*u**2.\nAnswer: -127*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 6. Let j be m(-5). Let a = -5\/2 + j. Let v(b) = -b**2 + 2*b + 1. Let s be v(3). Is a <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 941691979?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*k**3 - 872 + 433 + 14*k**3 + 439.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -195, -266, -317, -342, -335?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*x - 4*g + 140, -3*x + 18 = -4*g + 78 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*9\/(-135)*-35*2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of u**3\/2 + 7*u**2\/2 + 3*u. Let o(p) = -2*p - 5. Let k(y) = 5*h(y) + 7*o(y). Let a(t) = -3*t**2 + t**2 + 0*t**2. Give k(a(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -71445128\nAnswer: 357225640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/2592 and 29\/54.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/49)\/q)\/q)\/((((q*q**(-9)\/q)\/q)\/q)\/q)*(q**27*q)\/(q\/(q\/(q\/(q\/(q*q\/q**(-4\/9)))))) assuming q is positive.\nAnswer: q**(15671\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 + -50.2. Let v = f - -0.28. Let x = v + -0.08. Which is the third smallest value? (a) -2\/9 (b) x (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*k + 141*k = -48 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 88419312 divided by 46512?\nAnswer: 1901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*y - 3 = -3*u, 4*y = 3*u. Suppose -12*z = -y*z + 72. Is z greater than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 5 - (126 + -4). Suppose -27*p - 665 = -32*p. Let i = k + p. Solve 2*s = -3*d - 2*s - 17, -5*d - i = -s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1977 = 5*u - 3. Suppose u = -6*c + 9*c. Suppose 0 = 4*s - m - 45, 5*s - 29 = 2*m + 25. What is the highest common factor of c and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 931\/17 + -10207\/187. Which is the smallest value? (a) 77 (b) s (c) 1\/6 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35773403?\nAnswer: 4759, 7517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -7.8. Sort u, 2\/7, -4.\nAnswer: -4, u, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -21*o - 16*o + 33 + 34*o. Let q be u(10). What is the second derivative of -7*n**q - 13*n + 22*n - n**3 wrt n?\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d73d5 (base 14) in base 15?\nAnswer: -a3d61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*t - 25*t - 10 + 24*t - 4*t + 9.\nAnswer: -26*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -377, -717, -1019, -1283?\n\"Answer: 19*t**2 - 397*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -89\/1399?\nAnswer: -89\/1399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - 1) + (-36)\/(-7). Which is greater: r or 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -12*q + 26 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/60)\/7*78.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 38 - 3. Let i = v + 35. Let b = i - -2. Solve 3*f - 10 = b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-8)\/24*3)\/((-36)\/(-1800))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.157492 * -13.\nAnswer: -2.047396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/42144 and -14\/44769.\nAnswer: 628914912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-3 + -5 - -2) + (-17 - -9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*y = -35*y - 1104 - 150 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/24)\/(12\/(-80))*(-33)\/(4455\/(-27))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 5:28 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -14*n + 2. Suppose 21*g + 18 = 30*g. Suppose 6*m = m + 25. Solve m*u + 15 = -5*q, g*u + 0*q = 2*q + n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -971240 and -4.\nAnswer: 3884960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, f: 1, b: 3, t: 1, u: 1}. What is prob of sequence btu?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -3437?\nAnswer: 3435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.1*79.\nAnswer: 244.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 148325.0052 - 148295. Let n = 31.1 - 1.1. Let y = t - n. What is y rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38071819800 rounded to the nearest one million?\nAnswer: 38072000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*d = 16, 3*m + 4*d = d. Suppose m*b - 3 - 1 = -2*v, 0 = -b - 1. Suppose v*x = -x + 28. Is x at most as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p - 48. Let c be x(-24). Suppose -4*n = -3 - 5. Solve a + n*a - 6 = c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*m - 2, o = -4*m - 4*o - 10. Let b(v) = -v**3 - 7*v**2 - 6*v - 7. Let n be b(-6). Let r = m - n. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-304)\/684)\/(-2*(-1)\/(-90))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22 - 38*a**3 - 3 + 10*a**3 wrt a?\nAnswer: -84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -279, -282, -299, -336, -399?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289*y + 341*y - 1 - 2.\nAnswer: 630*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2768.09 - 2.583371.\nAnswer: 2765.506629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.102, -0.2, -24, -0.3, 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**3 - 2*d**2 - 14*d - 3. Let m be i(7). Suppose 0 = -4*v - 5 - m. Find the common denominator of -3\/44 and (v\/(-24) - 4)\/((-6)\/200).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 961934?\nAnswer: 2, 480967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*4*(sqrt(66)*-1*5 - sqrt(66)))\/(sqrt(48)\/(sqrt(2) + sqrt(2) + sqrt(8))*3))**2.\nAnswer: 101376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -3\/4*s**4 + 1\/6*s**6 + 0*s - 3*s**2 + 11\/3*s**3 - 3\/5*s**5 - 55. Factor l(h).\nAnswer: h*(h - 3)*(h - 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5\/7 - 1604*m**4 + 22426*m**3\/7 + 123488*m**2\/7 - 134688*m\/7 = 0. Calculate m.\nAnswer: -3, 0, 1, 4, 5612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -122 + 124. Let t(w) = 7*w + 10*w + 13*w - 27*w + w**h + 2. Let l(d) = -4 + 0 + 5 + d. What is -3*l(c) + t(c)?\nAnswer: c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -722*i - 15. Let j be o(-1). Suppose 16*t - j = 2493. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/6 (b) -0.4 (c) -1 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6336 = 1019*f - 5203 - 4765 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.066080462 rounded to six decimal places?\nAnswer: 0.06608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -80 + 1 + (-3865 - -3896).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24\/35 + 2147\/630. Let p be (9 + -7)*-1*1. Calculate the common denominator of w and (p - (-8)\/24)\/(34\/(-21)).\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 2*y - 1)*((2 + 3 - 3)*(y + y + 0*y) - 6*y + 12*y + 11*y) in the form h*y**2 + c*y + i and give h.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 13. Let r be z(10). Suppose t + 0*t - r = 0. Suppose o = -2*y + 8, 5*y + 2*o + 2*o = 26. Solve -y*h - 5*v + v = 10, 4*v + 5 = t*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/7752390 and 74\/44188623?\nAnswer: 441886230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 2*p - 85914504. Suppose 2*h + p = 65478618. Suppose 2*l = -4*g + 8800004, 4*l - 4*g = -l + h. Round l to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11439815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 561, 579, 621, 687, 777, 891?\n\"Answer: 12*m**2 - 18*m + 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**3\/13 - 3902*d**2\/13 - 146550*d - 146250 = 0.\nAnswer: -975, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22152281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o**2 + 17*o - 6. Let h(c) = 2*c**2 + 0 - 2*c + c - 2 + 7*c. Determine -8*h(j) + 3*i(j).\nAnswer: 2*j**2 + 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -154*g**2 - 113*g**2 + 2*g - 4*g. Let b(h) = -26*h**2 - 765*h + 15. Let t(u) = -14*u**2 - 408*u + 8. Let i(l) = 8*b(l) - 15*t(l). Calculate x(i(p)).\nAnswer: -1068*p**4 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.7? (a) 15 (b) 1.4 (c) 3 (d) 9 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2295 and 5610?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 461.57 minus -0.3?\nAnswer: 461.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 374 - 296 = 0. Let q = s - 589. Let w = -75 - q. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-280)\/(-94) + -3)*-2. Let b = -627 + 628. Which is bigger: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 3 = 2*m, 4*f - 2965*m + 27 = -2960*m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 8:31 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4593018 is divided by 7408?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3 + (27 - 44)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -2. What is the tens digit of w\/(-4) - 93\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1057608530?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 615928?\nAnswer: 2, 76991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -51. Solve w = -z + 4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/8)\/((-42)\/(-280)*-10).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-6\/11)*r*r**(5\/6) assuming r is positive.\nAnswer: r**(85\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c + 895?\nAnswer: 8c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 4*i - 18 = -4*j, 3*j - 4*i = 26. Suppose 17*m + 31*m - 3552 = 0. What is the remainder when m is divided by j*-1*(-5)\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmffaaxhhahalh. What is prob of picking 1 f, 2 a, and 1 x?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 27 = -3*t, -4*t + 5*y = 13 + 18. Let l = -409 - -392.3. Let f = 17 + l. What is the closest to 1 in t, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**3 - h**3 - 28*h**2 - 41*h**2 - 1 + 0*h**3 to the form d*h**3 + c*h + o + f*h**2 and give f.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**3 - 3*f - 1. Let b be q(3). What is the units digit of (-21)\/14*b\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30549 - 30549 - 11438*f to h + p*f and give p.\nAnswer: -11438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198650864?\nAnswer: 2, 12415679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 105*q**5 - 936*q**4 + 1803*q**3 + 216*q**2 - 108*q = 0. What is q?\nAnswer: -2\/7, 0, 1\/5, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -172*-0.010194\nAnswer: 1.753368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22150039 and 453.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -787*v - 7865 - 18257 = -81*v for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 7:20 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3322212203 + 22?\nAnswer: 3322212231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -42164, -168838, -379952, -675500, -1055476, -1519874, -2068688, -2701912?\n\"Answer: n**3 - 42226*n**2 - 3*n + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 60\/(-14) - (-2)\/7. Let j be (-94)\/18 - i\/18. Sort 0.1, j, -3 in descending order.\nAnswer: 0.1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 7, f: 9, l: 2, n: 1}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**2 + 2*s**2 - s**2 + (3*s**2 - 17*s**2 + s**2)*(0 - 5 + 3).\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 9*b**2 + 12. Does 10 divide v(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/p**(1\/12)*p*p**(-3)*(p**0)**(17\/3) assuming p is positive.\nAnswer: p**(-1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1488605 and 1411?\nAnswer: 1488605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -306, -305, -304, -303, -302, -301?\n\"Answer: u - 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 16*x**2. Let m(c) = -28*c**2 + 24*c**2 + 1222*c - 1229*c. Give y(m(s)).\nAnswer: 256*s**4 + 896*s**3 + 784*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*t + 3)*(-79 - 16*t + 79).\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 154638470?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 5 + (1 - 3). Suppose 9*a + 22 = 5*a - 3*p, n*a - 5*p = -6. Let i(s) be the second derivative of -s**3\/6 + s. Calculate i(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7, 40, 95, 172, 271?\n\"Answer: 11*j**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/1989 - -665\/3978. Let o(l) be the second derivative of -t*l**3 + 0*l**2 + 0 - 15*l. Let g(k) = 12*k**2. Calculate o(g(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a century in decades?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 4*y + 25 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 + -14 + -62 - (8 + 0).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498727 is divided by 55378?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 113238 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (1 - -21) - 22?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 333651?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14937616?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 11 = -1. Let s be 1*(-2)\/y*4. Factor 2 + 5\/2*h**s - 1\/2*h**3 - 4*h.\nAnswer: -(h - 2)**2*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5226915 to the nearest 1000.\nAnswer: -5227000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 7:15 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -1, 0, 2\/81, 5?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 106 - -42786?\nAnswer: 43003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-5)*i\/i**(4\/7)*i)**(-5\/14)\/((i**(-2))**(5\/2)*(i**(-2\/7))**2) assuming i is positive.\nAnswer: i**(318\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {m: 2, y: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -1001 (c) 0.001\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 174 divided by -12\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 250 + -167. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-18)*283\/(-1415)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -133 (base 4) to base 16\nAnswer: -1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -25*y**3 + 5*y - 5. Let l(w) = -37*w**3 - 8 - 5*w + 1 + 0*w + 9*w + 3*w. Give 5*l(v) - 7*x(v).\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 9:57 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25365 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 43872000 rounded to the nearest one hundred thousand?\nAnswer: 43900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -12*n + 9081. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vggdv. Give prob of sequence gvd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81 + -19. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2 + 52*w - 1. What is s(-18)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 4*n + 9. Suppose y = 5*s - 4, -4*s - 4*y - 2 = -10. Calculate the remainder when o(-8) is divided by (s + 3)*14\/4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74949 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 9*l**2 - 7*l + 2. Let o be s(8). Is 11 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.541 - -1.48. Round v to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 4:42 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.9 - -0.9. Let w = 16 + y. Let z = w - 10.1. Which is the second smallest value? (a) 0.3 (b) -0.3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 15. Let k be 22\/(-2 - 0\/(-1)). Let v = -45\/4 - k. What is the nearest to v in h, -1\/6, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 146275503 - 0?\nAnswer: 146275503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 4*w**2 + w + 3. Suppose -4*g + g = 5*i + 11, -i = -3*g + 13. Let t be k(i). Let r = t + 2. Is r less than or equal to -2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12503192 plus 18880?\nAnswer: 12522072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21891 - 6*z**4 + 21891 + (2*z**2 + 1 - 1)*(6 - 5*z**2 - 6).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18392*a**3*z + 4*a**3 - 4*a**2 - 45*a*z - 268 wrt a?\nAnswer: 110352*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 5*x + 62. Determine l(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 174\/(-12)*-1 - 14. Which is the nearest to -1\/4? (a) g (b) -4 (c) 4\/7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(1*(-3)\/36). What is the greatest common factor of i and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-156)\/(-13))\/(-24))\/(1\/(-4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10aa047 (base 11) to base 9.\nAnswer: 3563254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**5\/20 - g**4\/12 - g**3\/6 + 4*g**2 - 19*g. What is i(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 2 - 3)*(-1 + 3 - 3) + 6 + 2 - 5)*(35*h + 14*h + 20*h) to the form k*h + t and give k.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4*42\/(-63)*(-63)\/168?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 11*b. Let r(i) = i**2 + 834. Calculate r(l(d)).\nAnswer: 121*d**2 + 834","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4387 + 4386.999997903. Round i to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k - 17*k - 5*k)*(-2 + 0 + 3)*(-1 + 1 - 2*k).\nAnswer: 56*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 1073d?\nAnswer: 10743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36695611 divided by -5.\nAnswer: 36695611\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 + 50. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 5) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -138571.4921023 - -137972.49205. Let b = -599 - w. Round b to six dps.\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111101 (base 2) to base 15.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -491.5809 + 489.6. Let m = a + -0.0191. Sort m, 3\/5, -3, 5 in ascending order.\nAnswer: -3, m, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330343789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 4*v - 72, -776*h + 778*h + 2*v - 36 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 1126 + 25274. What is r rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + g + 11. Let i be k(3). Solve i*t - 3*a + 11 - 40 = 0, t + a - 1 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 20*s - 34*s**2 - 110*s + 10*s - 9*s**2 + 1 + s**2. Give o(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.225 + 0.225. Which is the second smallest value? (a) -2\/41 (b) p (c) 1\/2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94851?\nAnswer: 3, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 158453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 9, 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9693568 by 2.\nAnswer: -4846784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*s - 3, 8*p - 13 = 5*p + s. Let w(j) be the third derivative of j**5\/60 - 5*j**4\/24 + 4*j**3\/3 + 3*j**2. Let h be w(4). Solve h = p*b + b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-60)\/27 + 1 - -1. Let y = -7.7304 - -7.8304. What is the second biggest value in m, 15, y, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7}. Give prob of picking 3 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and 28.80567.\nAnswer: -25.925103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*z = -24, -6 = -z - 2*z. Let d = 18 + 14. Let h be (-826004)\/a - d\/(-112). What is h rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**4\/12 + h**3\/3 - 3*h**2 - 7*h. Suppose 5*k + 30 = -b, 0 = 2*k - b + 2 + 3. Is m(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 378*d + 22843. Give n(53).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - u**2 + 6*u - 5. What are the prime factors of k(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 8*u**3 + 2*u**2 + 2*u + 1. Let n be a(-1). Is (-3175)\/(-35) - 2\/n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -4, -2\/15, -66 in ascending order.\nAnswer: -66, -4, -2\/15, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 6:56 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -104*b - 86. Give q(5).\nAnswer: -606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25949563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 250868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(1539) + 4 + sqrt(1539))*6 + sqrt(76)\/(1*1*sqrt(4)))**2*3.\nAnswer: 15696*sqrt(19) + 678944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**2 + 0*m**2 + 4*m + m + 0*m to a + c*m**2 + u*m and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 4*s + 20, -s - 10 = -60*y + 58*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b - 8 - 2 - 2*b. Let t be i(-4). Let 9*s**2 + 9*s**t + 10*s**4 - 10*s**3 - 14*s**3 - 4*s = 0. What is s?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 3.4. Let z = 35.9 - 7.9. Let h = z + -27. Which is the closest to 2\/9? (a) h (b) y (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 12:53 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15.5 + -6.7. Let o = -9 + b. What is the nearest to o in -3, -2, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/3 - 19\/12. Let r be 2 + 3 + (-33)\/6. Sort -2\/5, r, a.\nAnswer: a, r, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51354 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*a**3*t**2 + 3*a**3 + 4*a*t**3 - 7*a wrt t?\nAnswer: 34*a**3*t + 12*a*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -320*a + 1188*a + 278*a + (-3 + 2 + 3)*(2*a + 0 + 0) to v*a + t and give v.\nAnswer: 1150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/2)\/((-5)\/20). Suppose -2*y - 4*k = 2*y, 4*y - 2*k - 18 = 0. Suppose -y*q = -2*f + 1, 4*f + f - 25 = 0. Which is smaller: j or q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 10, 4\/5, 0.0479?\nAnswer: 0.0479","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -g - 2*l, 2*g + 1 - 9 = -2*l. Suppose -2*y + 1 - 3 = -i, -2*y = -g*i + 4. Suppose -2*v + 5*v - 147 = y. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -181.92738 to 1 dp.\nAnswer: -181.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 340749*q - 21126427. Give m(62).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w - 8. Let r be g(-7). Find the common denominator of r - ((-255)\/54)\/1 and (258\/27)\/(8\/(-6)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2721, 2715, 2715, 2727, 2757, 2811, 2895?\n\"Answer: p**3 - 3*p**2 - 4*p + 2727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591 is divided by 83.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2\/7, 17, 0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxvhhxyvhvvy. What is prob of sequence yxy?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-10)*(-9 - 1). Let f be (2\/12)\/((-2)\/w). Which is the second biggest value? (a) -2 (b) f (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -141 + 76. Let y be -94*2\/(-20) - (-26)\/a. Suppose 10*g = y*g + 36. Calculate the greatest common divisor of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69743314?\nAnswer: 2, 23, 563, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 - -48.8. Let m be (-2)\/(-4)*(-1 - 0). What is the third smallest value in 1, g, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -223 + 411. Let l = 183 - u. What is the smallest value in -2, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-162 + 265 + 162)*(3*j - 1 + 1)*(0 - 4 + 2) + 2 - 2 + 4*j.\nAnswer: -1586*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 7749 = 10423. Is 61 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 27979108*x + 83937342.\nAnswer: -2*(x - 13989557)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5518, 2 in decreasing order.\nAnswer: 2, 1, -5518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135709 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*v + 35152, -4*v + 43943 = -3*r + 8*r. Let s = r + -1338. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**4 + 4*r**4 + r**4 + (5*r + r - 5*r)*(2*r**3 - 5*r**3 - r**3).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -120020 (base 3) to base 12\nAnswer: -2a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 672.016ng to milligrams.\nAnswer: 0.000672016","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2 - 5*r + 7. Let k(f) = f**2 - 2*f + 2. Suppose 44 = 216*s - 212*s. What is s*k(c) - 4*q(c)?\nAnswer: -c**2 - 2*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -936.25804 - -1368.1659. Let m = -396.907822 + d. Let g = -35 + m. What is g rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 563063.3 kilometers?\nAnswer: 563063300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*l = 94*l - 3*r + 277510, 3*l - 208131 = -2*r. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**3 - 125*t**2 + 187*t - 137. What is i(61)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.1, -129\/7, 0.35?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 10*z - 7. Let f be c(9). Find the third derivative of -13*d**f - d**3 + 9*d**3 + 12*d**2 wrt d.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-5 + 0 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -12038*f + 79. What is w(0)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/8322968 and -53\/224.\nAnswer: 233043104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 437.06 take away 0.1?\nAnswer: 436.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 8 + 12 = 0, -r - 9 = -2*a. Suppose -r = -5*w + 4*w. Suppose 2*q - 17 + w = 0. Solve 4*n = -5*j + 8, -4*j + q = 3*n + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83816*m + 41882*m + 41932*m - 39.\nAnswer: -2*m - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1067 or 1339?\nAnswer: 1339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64719898 is divided by 21573295?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24621 to the power of 1\/2, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -a60901?\nAnswer: a60906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*k, -2*v + 3*v + 5*k - 345 = 0. Calculate the greatest common factor of v and 560.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3939 + 3934. Sort x, 1, -66 in decreasing order.\nAnswer: 1, x, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + f - 269 = z, 0 = -3*z - f + 201. What is the remainder when z is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 16*c**2 - 18*c - 36. Calculate t(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzjozjjzjojzzjj. What is prob of sequence oo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.67 to the nearest integer.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -22, -88, -232, -484?\nAnswer: -874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92\/147 - -2\/49. Let r be (-10)\/(-12)*-1*(-2)\/(-10). Which is the second smallest value? (a) r (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 b when two letters picked without replacement from {d: 7, v: 9, b: 3}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95 - -43. Let i(s) = 6*s**3 - 4*s**2 - 2*s - 8. Let w be i(4). Let u = w - j. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h = 4*q - 14, q = 4*h + 10. Let s(g) = -g + 1. Let w(b) = b**2 + 5*b - 3. Let v(x) = 4*s(x) + w(x). What is the units digit of v(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/36 + -11\/36. Which is the second smallest value? (a) 0 (b) 22 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - (sqrt(32) - sqrt(288)\/sqrt(9))**2 - (sqrt(242) + 5).\nAnswer: -10*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5419 + 6020. What is the remainder when v is divided by 76?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*b + 20 = 0, 2*r + b = 2*b + 26. Suppose 11*y = 19 + r. Solve y*x - 2*l = -2*x + 35, 2*l + 5 = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -15*m**2. Let z(r) be the first derivative of 2*r**3\/3 + 14. Give o(z(h)).\nAnswer: -60*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3193 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stwwwwwwkwwwskgw. What is prob of sequence sgt?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*a = 16, 5*u + 8*a - 9*a = 4. Solve -6*z = -u*z - 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4*w - 2*s = -24, 0 = -w - 5*s + 5. Let q be w\/10 + (-596)\/(-8). What are the prime factors of -4 + 2 + q - 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqbqbb. Give prob of sequence qqb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 - (24 - (46 + -6))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -75*z**2 - 582*z - 23. Give p(-8).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7633473 (base 8) to base 2.\nAnswer: -111110011011100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121014205*o**3 + 800*o**2 - 73*o - 269 wrt o.\nAnswer: -726085230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgcgxgxikckkggkcxk. Give prob of sequence ckc.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nq when two letters picked without replacement from {f: 5, q: 6, m: 5, n: 4}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1465*o - 1460*o + (-2*o - 2*o + 3*o)*(4 + 0 - 5))*(-20*o**3 + 165 - 165).\nAnswer: -120*o**4 + 40*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = v - 3, 4*a + 10 + 2 = 0. Calculate the smallest common multiple of v and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/4)\/(15\/(-90)). Let i(w) = -w**2 - 10*w - 4. Let z = 26 - 16. What is the lowest common multiple of i(l) and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3*s + 75, -l - 5*s = -6*l - 155. Let x = l + 18. Let a be (-508002)\/4 - 5\/x. Round a to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -2, 0.3, -5\/4, 2\/1025?\nAnswer: 2\/1025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.20688*-1705.\nAnswer: 352.7304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 25 = 34. Let g(q) = q + 7*q**2 + 0 - 2 - 1. List the prime factors of g(b).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a. Let v(c) = 9*c. What is -4*f(u) + v(u)?\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 298*l**5\/5 + 139*l + 173. What is the derivative of n(s) wrt s?\nAnswer: 1192*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4413 is divided by 192.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17439101.\nAnswer: 17439101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.5 (b) -5 (c) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y - 58*y = 101 + 16 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1265182 is divided by 4068?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 - 75 + 0*n + 214 - 3*n - 67 - 2*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 h, and 1 o when three letters picked without replacement from {b: 1, h: 4, o: 1, r: 3, g: 2}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1765741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42802, -85816, -128830, -171844, -214858, -257872?\nAnswer: -300886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (126\/(-147))\/((-2)\/14). Suppose -v = 4*v - 25. Solve -o = v*i - 6, -3*i + t = -0*i for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x - 14*x - 3*x + 46*x.\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8225824 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -294, -532, -744, -918, -1042?\n\"Answer: 2*f**3 + f**2 - 255*f - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*g = 2124, 11*q - 16*q - g + 3524 = 0. Calculate the greatest common divisor of q and 576.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7438.\nAnswer: 2, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9938, -9891, -9808, -9689?\n\"Answer: 18*p**2 - 7*p - 9949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 - 2*x + 2*x)*(-6 + x + 35*x + 4).\nAnswer: -36*x**4 + 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from yxnxcxjmxjjxx.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y + 9. Give f(-12).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-nine quarters of a microgram in nanograms?\nAnswer: 24750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -4, 0.3, 1\/5, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((0 - 5 - -1) + 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376 = 8*q + 328. Let w = 31 - 15. What is the remainder when w is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -53180030, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 627*l - 149*l - 168*l - 152*l - 159*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 3*g - 11. Let i be j(-6). Suppose 0 = -i*m + 9*m - 32. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 + 9876*l - 2*l**2 + 18*l**2 - 3*l**3 - 9874*l + 3 to j*l + w + k*l**2 + d*l**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 10*s**2 - 10*s + 12. Let d be l(-11). Suppose b + d = 10. Let k = b - -5. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2527 + -1680. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1825587+0.9\nAnswer: -1825586.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*g + 12 = 101*g. Does g = 37\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 371) + 5*5\/(-25). Let h be (-1428)\/x*(-36)\/7. Which is greater: -21 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 32*o + 12. Let d(n) = -n**2 + 33*n - 11. Let s be 32\/16 + (-1 - 6). Let k(q) = s*d(q) - 6*f(q). What is the units digit of k(20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/2 + (-62)\/(-4). Suppose f + 6 = m. Suppose -6*i + f = -67. What is the remainder when 36 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374265*s**4\/2 - 45884899*s**3\/2 + 32410736*s**2 - 9280906*s - 248 = 0. Calculate s.\nAnswer: -124, -2\/74853, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5162635 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*r**2 - 8*r**2 - 3*r**2)*(73 + 56 - 12) in the form j*r**2 + f*r + a and give j.\nAnswer: -702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201208054 = 345*l - 7552481. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -76*y + 78*y + 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 814 + -2185. Let u = 1925 + m. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.96 + 0.04. Let q = -1520 + 1519. Which is the nearest to o? (a) 5\/4 (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = z - 16. Let s = 187 - 176. What is the greatest common factor of z and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 27*x**3 - 3*x**2. Let s(k) = 27*k**3 - 4*k**2. Suppose -1103 + 1055 = 12*o. Calculate o*q(f) + 3*s(f).\nAnswer: -27*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fooffofooo. What is prob of sequence oo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 + 35. What is the hundreds digit of 1\/3 - (-26256)\/u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -2. Let c(r) = -6*r + 1. Let x be c(-1). Suppose -h*g - o + x = -0*g, 3*g - 17 = 5*o. Solve -5*l - g*b - 4 = 0, -1 = 3*b - 13 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*b + 75 = 0, 0*b - 237 = -4*m - b. Suppose 12*q + m = 7*q. What is the lowest common multiple of q\/(-8)*-2 - -23 and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 10. Let v = 0.4 + -3. Let j = -2.1 - v. Which is the second smallest value? (a) -3\/7 (b) g (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 341*r**2 - 3*r + 31. Let d(s) = -1023*s**2 + 9*s - 93. Let u(a) = 2*d(a) + 7*y(a). Let w(j) be the first derivative of u(j). Is w(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 72? (a) 2\/3 (b) 1.7 (c) 0.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/42 and -71\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.085*-14.\nAnswer: -1.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001 minus 2.774171?\nAnswer: -2.773171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 37532372 divided by -706?\nAnswer: -53162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**2 - 4*h + 9. Let u(m) = -9*m**2 - 11*m + 28. Let b = -17 + 10. Let t(s) = b*v(s) + 2*u(s). Calculate the remainder when t(-6) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*g = -24, 3*z - 4*g + 14 = 4*z. Let d(m) = -m**3 + 7*m**2 - m - 6. Determine d(z).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30.3 * -0.037.\nAnswer: 1.1211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**3 + 6*z**2. Let r(k) = 2*k**3 + 6*k**2. Let n(l) = 4*r(l) - 5*x(l). What is the third derivative of n(p) wrt p?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22825 divided by -17.\nAnswer: -22825\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 820 and 180.\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -616.0133133 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6)**(-11\/7) assuming x is positive.\nAnswer: x**(-66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -2*m**4\/3 + 757*m. Let v(f) = 38*f + 1. Calculate v(t(k)).\nAnswer: -304*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, x: 4, e: 3}. What is prob of sequence xn?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -94\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.2 + -1. Let h = -8 + 8. Which is the second smallest value? (a) -3 (b) u (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14607585 divided by -5.\nAnswer: -2921517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 1\/3, -18.022, 4, -15 in descending order.\nAnswer: 26, 4, 1\/3, -15, -18.022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3 + 4\/(-3). Let y be 14 - (0\/p)\/1. Solve -4*j = -3*m + y, -2*j + j + 1 = -3*m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28397 and 657?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40128 is divided by 4000?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -92*q + 2. Let z(b) = -b. Let u(j) = c(j) + 8*z(j). Let d(w) = 3*w**2. Determine d(u(n)).\nAnswer: 30000*n**2 - 1200*n + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/66)\/2)\/((-2)\/6)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3288\/(-96))\/(2\/(-8)). Suppose -g = -9*i + 7. What is the highest common divisor of 88 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 17. Which is the third smallest value? (a) -0.5 (b) -6\/11 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 46?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1259 to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 19. Let q = k + 15. Let g(m) = m**2 + 0*m + 2*m + 3 + 1 - q*m. Give g(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p = 2*b + 19, 2*p + 2*b + 4 = 0. Factor -4*o**p - 16*o**5 - 2*o**3 + 4*o**3 + 18*o**5.\nAnswer: 2*o**3*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 760878, 760744, 760610, 760476?\nAnswer: 760342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m - 28319 = 192706. Suppose -h + m - 1960 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 141292, 12, 4 in descending order.\nAnswer: 141292, 12, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 14*d**2 - 15*d - 26. Let p be n(-13). Let g(h) = 4 - 3 + 9 - h. What is the lowest common multiple of 5 and g(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78685314 to the nearest integer?\nAnswer: 8870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 821948997 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-60) - 16\/(-5). Which is smaller: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 6 = 0, 4*m + 2*y = 119 - 111 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-3) - 17\/(-60) and ((-1)\/4)\/(34\/4692).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -37*z**2 - 19*z - 22. Let q(o) = 14*o**2 + 7*o + 8. Let h(m) = -3*a(m) - 8*q(m). What is h(10)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.8 (b) -5 (c) 0.004 (d) 0.4 (e) -1 (f) 0.054 (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 1:18 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/239 (b) 19530 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-4) - 74\/(-4). What is the greatest common factor of 136 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**5\/60 + t**4\/8 - t**3 - 8781*t**2. Let k = -1 + 6. Determine i(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 5) to base 7.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 9, -72814, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 29*d**2 + 23*d + 45. What is the hundreds digit of j(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(10)*2*-6) + 3)**2.\nAnswer: -sqrt(3)\/2 + 433\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -1, 0, -3, 3 in increasing order.\nAnswer: -3, -1, 0, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -24.85, -2, -41, -0.2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -14, 15, 84, 205, 390, 651, 1000?\nAnswer: 1449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 3:20 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2067272033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/5 (b) -0.3 (c) -0.4 (d) -5 (e) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-2))**(-5)\/((x*x**(3\/4))\/x*x*x**(-4)*x)*(x**(-2))**1*x**(-5\/3)*x**(-8) assuming x is positive.\nAnswer: x**(-125\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ynniniytytntntnyi. What is prob of picking 1 y, 1 i, and 2 n?\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2112002021021 (base 3) to base 14\nAnswer: 26c534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.14 - -0.06. Let t = -1.2 + o. Let s(q) = -q**3 + 2*q**2 - q + 2. Let g be s(2). Which is the closest to g? (a) 4 (b) t (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 22 = -2*g, 4 + 16 = 4*l. What is the closest to 2\/5 in 0.2, 5, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4806845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*w + 12 = 0, 5*s + w = -4*w + 20. Let b = 18 - 17. Let o be -10*((-2)\/4)\/b. Solve -o*u - 3*y - s*y = -5, -3*y = 9 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002046234 rounded to 6 decimal places?\nAnswer: -0.000205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(300))**2 + -2.\nAnswer: -20*sqrt(3) + 299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 2)*12\/18.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6102 - -6150. Is 894\/19 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 4*h = -80. Suppose -2*f - x + 165 = 9, -h = 2*x. Let r = -37 + 69. What is the highest common divisor of r and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z + 13. Let i(h) = h - 4. Let k(a) = 4*g(a) + 14*i(a). Let l be k(-4). Solve 2*n - 16 = -l*w, -w + 5 = 4*n - 13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of (-96)\/(-40)*-15*(-846)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4084 from 0.8052188.\nAnswer: 1.2136188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/24145 and -6\/28535.\nAnswer: 313885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -7 (b) 3\/5 (c) -0.2 (d) -153 (e) -2\/49 (f) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 395511 (base 11) to base 6.\nAnswer: 21200310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 370, 2\/3, 3\/2, -3, -0.1 in descending order.\nAnswer: 370, 3\/2, 2\/3, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 96.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2890*r + 2724*r - 2083*r.\nAnswer: 3531*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q = 4*h - 6, -3*q = 4*h - 9. Suppose x = -h + 2. Put 4, x, -8, -1\/3 in ascending order.\nAnswer: -8, -1\/3, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -6. Suppose -27*f - 330 = -24*f. Is 22 a factor of f\/j*(-24)\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*r - 8 = 0. Let i(n) = -2*n + 1. Let d be i(r). Let l be (-5)\/d - 53\/(-3). Calculate the highest common divisor of 72 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 274 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*u + k - 7, 2*k - 6 = 0. What is the highest common divisor of 12 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 14479615?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-390)\/(-9) - 2\/6. Let c = u - 26. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 11. Let x = 20 + n. Solve 2*j = -2*j - x for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 332359?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 454\/(-2) - 39\/(-13). Let m = w + 501. Calculate the remainder when m is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.95 + 0.5. Let j = w - -0.15. Sort -0.1, 4, j in decreasing order.\nAnswer: 4, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 4:55 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f - 2*f + 2*f**2 + 173*f**2 - 965*f**2 + 460*f**2 - f**2 + 0*f**2 + 3*f**2 + (f + 0*f - 3*f)*(-3*f - f + 2*f) + 0*f**2 - f**2 - f**2.\nAnswer: -326*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/4 - (-4)\/1. Let h(i) = 47*i + 371. Let b be h(-8). Sort 0.13, b, n in ascending order.\nAnswer: b, 0.13, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1692769 and 57814572.\nAnswer: 751589436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28)\/(-8) - 1\/(-2). Let l = 22 - y. Calculate the remainder when (-1)\/(50\/51 + -1) is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*0.2121\nAnswer: 0.06363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s**3 - 20*s**3 + 60*s**3 - 20*s**3.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t + 7*t - 28*t**3 + 29*t**3 + t - 7*t**2. Let y be s(7). Suppose -3*i + 35 = 4*v, -4*i + 2*v - 5*v = -y. Solve 3 = 2*d + i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 55.24086g?\nAnswer: 0.05524086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-264)\/(-20))\/(2\/5). Let c = o - 21. Suppose -5*p + 21 = 3*m, 2*m + 0*m + c = p. Put -5, 3, p in increasing order.\nAnswer: -5, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -8 + 4 - (3 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 17*l - 17. Give i(-20).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10337827 and -0.604.\nAnswer: -10337827.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -19*m**2 + 7*m + 6. Let s be j(6). Let c = s + 1892\/3. Is -6 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.1, -1\/12, 3\/7?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-5)*(-15 - 4716\/(-312))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24835 - -500242.\nAnswer: 525077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4582 is divided by 1525?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -8 - 7 - -1) + (6 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 11 = -5*j - 22, 5*j + 15 = -5*r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 36 = -2*d + a, -d = 3*a - 23. Let o be 636\/1176 + d\/(-14). Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*q = 2*m + 9487, 4*q = 2*m - 18990. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6561 - -35?\nAnswer: -6526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9268654207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5617 is divided by 36.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42593018 and 7592?\nAnswer: 1898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 417 + -413. Solve 9*d - 8*d + 1 = -2*q, -t*d = 5*q + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, -4 in decreasing order.\nAnswer: 1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010011100 + -11111001?\nAnswer: -100110010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 3139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1641 + 256467. Let n = f + -364826. What is n rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-7))\/((-1)\/8*2)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 69?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 598 and 143?\nAnswer: 6578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*t - 39 - 153 = 0. Let y = -7 - -3. What is the nearest to t in y, 0.3, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sa when two letters picked without replacement from maasmdqssddmqwqaamqm.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**2 - 7*m. Let b(f) = 2*f**2 + 4*f. Let k = 5 + -1. Suppose 0 = -0*l + k*l + 20. Calculate l*b(r) - 3*x(r).\nAnswer: -r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2 - 8 = 0. Let n be 4\/(-12)*(-6)\/1. Let r be 6\/(12\/(-16)*n). Sort r, i, 3.\nAnswer: r, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*j + 36. Let i(a) = -17*a + 4. Let w(y) = -12*y - 30. Let x(t) = -4*t - 11. Let r(u) = -4*w(u) + 11*x(u). Determine j*r(g) + 2*i(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4087, 9, -46 in increasing order.\nAnswer: -4087, -46, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -133225\/6 - 364\/3*l**3 + 132860\/3*l - 1\/6*l**4 - 21961*l**2.\nAnswer: -(l - 1)**2*(l + 365)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2465 divided by -219\nAnswer: -2465\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*w + 34 = -3*f, -5*w - 4*f = -13. Solve w*g + 9 = -1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 35900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 884.6626 hours in seconds?\nAnswer: 3184785.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 227 = 117. Let a = g - -86. Suppose 0 = 3*v - 2*n + 3*n - 18, a = 3*v - 5*n - 36. Solve 18 + v = 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 705649 and 3225824.\nAnswer: 22580768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(2 + (-17)\/8). Let n(p) = -p**3 - p**2 + p - 1. Let m(k) = -6*k**3 - 13*k**2 + 5*k - 12. Let g(s) = -m(s) + 5*n(s). What is the units digit of g(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -17*j**3 - 4*j**2 - 10*j - 4. Let c(v) = 35*v**3 + 9*v**2 + 19*v + 9. Let f(g) = -4*c(g) - 9*k(g). Find the second derivative of f(s) wrt s.\nAnswer: 78*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 54*m - 299. Let b be d(37). What is the highest common factor of b and 132?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4420)\/(-104)*(-6)\/51. Let a(b) = 2*b - 5. Let x be a(4). Let n = -100 + 63. Sort n, p, x in decreasing order.\nAnswer: x, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3070*d - 125845 = 4077*d - 25145 for d.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/4))**(-23)*l**18\/((l\/l**(-2\/27)*l)\/l) assuming l is positive.\nAnswer: l**(-35\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 9 (b) -25 (c) -795\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2)*o**1*(((o*o*o*o**(-3)*o)\/o)\/o)\/((o*o*o**8*o)\/o) assuming o is positive.\nAnswer: o**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 divided by 136430?\nAnswer: -4\/9745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = s - a, -3*s + 5*a - 15 = -2. Let k = 6 + s. Suppose -5*m = k*q - 30, 2 = q - 2. Solve 5*j + m = -3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -22, 235411.\nAnswer: -22, -4, 235411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.054 - -0.146. Sort 2\/11, -0.5, 33, f in decreasing order.\nAnswer: 33, f, 2\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4152331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + -2*((sqrt(156) - -1*sqrt(156)) + sqrt(156)))\/(sqrt(72)\/(-2*sqrt(6))) + ((sqrt(104) - -2*sqrt(104))*3)\/(2*sqrt(32)).\nAnswer: 49*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26\/21 + 4\/7. Which is the smallest value? (a) n (b) 5 (c) -3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, h: 5, o: 3}. Give prob of picking 1 g and 1 h.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*c + 30. Let j(f) = 331*f**2 - f - 1. Is j(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1235 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 2 - 6. Suppose -v = 7*v - 40. Suppose 5*z - 3*c = 31, z = c + 2 + v. Sort 3, o, z.\nAnswer: o, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 276 - 224 = 0. Let r be ((-4)\/(-5))\/(8\/y). What is the units digit of (-32)\/r + (-1)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 9:32 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(96)*-1)\/sqrt(6))\/((sqrt(6)\/sqrt(3) + sqrt(2))*-1 - sqrt(2)))\/(3*((sqrt(36) - sqrt(324)) + sqrt(144)\/sqrt(4))).\nAnswer: -sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 975 - 975 + 1008*h**2 - 450*h**2 - 390*h**2.\nAnswer: 168*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14*(0 - -1)*-1. Let r be 132\/28 + (-4)\/o. Let c(h) = -3*h**2 + 16*h + 14. Let d(w) = w**2 - 5*w - 5. Let u(x) = -2*c(x) - 7*d(x). Calculate u(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = -4*u + 624. Let l = u + -71. Let c(i) = i**2 + 8. Let g be c(0). What is the greatest common factor of l and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 146647213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 111170 * -0.03809.\nAnswer: -4234.4653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2052*v**2 + 9 + 1812*v**2 - 3163*v - 9 wrt v?\nAnswer: -480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5844*g + 584328. What is b(100)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**3 - m - 11*m**2 - 2 + 11*m**2 + 0*m**3 to the form o + q*m + i*m**2 + u*m**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*i**5 + 6*i**5 - 10*i**5 - 27*i**3 - 7*i**5 + 27*i**3 + (3*i + 2*i - 6*i)*(-i**4 + 3*i**4 - i**4) + 2*i**5 + 4 - 4 + 2*i + 2*i**5 - 2*i.\nAnswer: -18*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3\/k*k**(-2\/11)*k)\/(k**(-3)\/(k*k**5*k*k)) assuming k is positive.\nAnswer: k**(152\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/9)*l**9*(l**(1\/9)\/l)\/l*l*l*l\/(l*l*l**(-2)*l*l))**(19\/3) assuming l is positive.\nAnswer: l**(1349\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52908 and 612851.\nAnswer: 7354212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 k when four letters picked without replacement from kkkklkkklk?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m + 0*m - 2*m)*(-5 + 5 - 2) + 2*m - 6*m + 2*m as t*m + g and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.036 + 113.036. Let k = 1886473308 + -1886473194.9999819. Let m = k - w. Round m to 6 decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1923 - 1923.031. Which is the nearest to 0? (a) 2\/5 (b) y (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**2*b*n + 101*a**2*n**2 - 3*a*b*n + a*b + a*n**2 - 6*b*n**2 wrt a?\nAnswer: 2*b*n + 202*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429132.\nAnswer: 2, 3, 11, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 w, and 2 k when four letters picked without replacement from mgwkdggmssgk.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 51\/(-2)*(-2)\/3. Let r(h) = 5*h**2 - 6. Let w = -137557 - -137563. Let a(d) = -16*d**2 + 17. Determine s*r(t) + w*a(t).\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0229 and -20.7.\nAnswer: 0.47403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6*11\/4)\/(39\/(-26)). Solve 7*p - 8 = t*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 199838 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -366400 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(4 + -4 - -3)*(-27)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -9*s - 5. Let i(o) = -4*o - 2. Let l(u) = 6*a(u) - 15*i(u). Let r(d) be the third derivative of d**4\/24 + 116*d**2. What is l(r(j))?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((13\/(-117))\/(3\/(-9)))\/1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/627, 4\/3, 0.4, -17.\nAnswer: -17, 2\/627, 0.4, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2656cd (base 14) in base 6?\nAnswer: -44152433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 7. Let v = -67 + 57. Let c be i(v). Let l(d) = -2*d - 17. What is the remainder when 27 is divided by l(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 b, and 1 q when three letters picked without replacement from xcbzcccbeqcccc?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*n = -67*n - 10. Find the common denominator of (-1162)\/(-49)*2*(-2)\/64 and 549\/9*2\/n.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -13*f + 2. Let i(s) = -s**2 + 9*s - 2. Let o be i(9). Does 14 divide x(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117231084278 - 0.3\nAnswer: -117231084278.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 2\/131, -5, 7?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -25762*o - 2. Let f(a) = 3*a. Give f(v(n)).\nAnswer: -77286*n - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -654 + 344 - 25*k + 414 to the form l + c*k and give l.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-351)\/364*12 - -11 - (-2 - -1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -12 + 6 + 5 + (2 - 20)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2184 divided by -8608.\nAnswer: -273\/1076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 309.73 + -283.664. Let x = -0.33 + -25.67. Let i = x + o. What is i rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17243, -68951, -155167, -275885, -431099, -620803?\n\"Answer: m**3 - 17260*m**2 + 65*m - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d**2. Let a be (1\/(-3)*-9)\/(1 + 2). Let y(h) = 2*h - 4. Let b(q) = 1 - 2*q - 4*q + 5*q. Let n(u) = a*y(u) + 4*b(u). Give j(n(k)).\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6333613563 take away -0.2?\nAnswer: 6333613563.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64652 is divided by 193?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 14) to base 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 3:23 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p + 2*p = 20 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (161\/368*(-30)\/(-14))\/((-264)\/(-176))\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 567 * 4.5728\nAnswer: 2592.7776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 4*r**2 + 8*r + 2. Determine g(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-10) + 34\/(-10). Let u = 4 + k. Let q be ((-6)\/15)\/(u\/5). Let r(y) = -4*y - 3. Calculate r(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -2\/7, 1\/3, 28?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 22 = 3*b + 1, b + 3*h + 4 = 0. Differentiate -3 + 5*d + 5*d**2 - 4*d**2 - b*d with respect to d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -17\/3, 8, 38.1, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-126)\/294 + (-9484)\/(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-28)\/2891)\/(-1))\/((-2)\/15). Which is bigger: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p - 6. Let i be s(4). Suppose h + 5*w + 10 = 68, -3*h + 123 = -i*w. Let -51*o**2 - h*o**2 + 9*o + 30 + 138*o**2 - 47*o**2 = 0. What is o?\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2262555, -4525110, -6787665?\nAnswer: -9050220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 15*p**3 - 4*p**2 + 3*p + 19. List the prime factors of b(7).\nAnswer: 3, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 + -4 + -1 + 5 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**4\/4 - 5*k**3\/3 + 5*k**2\/2 - 4*k + 3. Let a be j(4). Let l be 19\/(-35) - 2\/(-14). Which is greater: l or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41.9 + 44.472. Let r = -0.072 + y. What is r rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (64\/12)\/4)*-3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2701 - 32411\/12. Let f(l) be the second derivative of 14*l + 1\/6*l**3 + 0*l**2 + w*l**4 + 0. Factor f(g).\nAnswer: g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -n + 15. Suppose 624 = -n*y + 23*y. Which is smaller: y or -77?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (426 - 417) + (4 - (13 - (0 - 2)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1203.\nAnswer: 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -1631?\nAnswer: 1631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -4. Sort -4, x, 1 in ascending order.\nAnswer: -4, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7458.5 - 7458. Which is the smallest value? (a) -3 (b) 1\/6 (c) -5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 582?\nAnswer: 1\/582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 255, -302, -995, -1818, -2765, -3830, -5007?\n\"Answer: f**3 - 74*f**2 - 342*f + 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30694\/357 + 1392\/17. Let z = -61047 + 2136628\/35. Find the common denominator of z and m.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360 - 83 = -2*h - 3*y, 56*y - 62*y = 351 + 207 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1252*m - 1261*m = -2502*m - 449240. Does 25 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9 - 1. Is -2\/87 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 4*i - 14, 3*x + 2*i = 4*i + 52. Suppose 4*s - 3*d = 217, 25 = 3*s - 2*d - 137. What is the remainder when s is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 6*i + 20. Suppose i*b + 22 = 467. What are the prime factors of b?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002530362764 rounded to 7 decimal places?\nAnswer: 0.000253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -496279696 divided by 421648?\nAnswer: -1177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.294, -0.3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 91?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**4\/4 + 2*m**3 + m**2\/2 - 6*m + 163. Factor h(i).\nAnswer: -(i - 6)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -124*l**2 - 3*l - 3. Let i be c(4). Let r = -896 - i. Is r a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d + 21. Let y(l) = -l - 7. Let i(t) = -4*v(t) - 11*y(t). Let r(j) = -j + 1. Calculate i(u) + 6*r(u).\nAnswer: -3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k**5\/7 + 122*k**4\/7 + 158*k**3\/7 - 64*k**2\/7 - 88*k\/7 + 32\/7 = 0. Calculate k.\nAnswer: -4, -2, -1, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from guvugcubuquuuuuuucub?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3352 - 1681. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -15*(40\/6 - 7). Let q(j) = 85*j. Let u be q(1). What is the greatest common factor of u and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*n**2 + 895*n**4 + 7*n**2 - 918*n**4 wrt n?\nAnswer: -552*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/2)\/((-2)\/8). Factor 2*o**t + 0 - 25*o**2 + 28*o**3 + 2*o**5 - 4 - 7*o**2 - 14*o**4 + 18*o.\nAnswer: 2*(o - 2)*(o - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*n + 2*n = 4, 4*n - 4 = 3*a. Suppose 3*q + 2*m - 1520 = -q, -a*q + m + 1514 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 3*d**2 + 2*d - 1. Let s be b(2). Let l(i) = -7 - 15570*i - 3 - 3000*i. Let o be l(s). Round o to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + sqrt(275)\/sqrt(5))\/sqrt(11))**2 + (-1 + (sqrt(5) + -3 - sqrt(5)))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -138, -116, -80, -24, 58?\n\"Answer: n**3 + n**2 + 12*n - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 - 49*p**2 - 355*p - 7938. What is l(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**2 - 11*t + 16. Let c be r(9). Let m = 570 + c. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 x when two letters picked without replacement from {x: 1, o: 2, z: 1, p: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11, -15, -43, -101, -195?\n\"Answer: -c**3 - 6*c**2 + 21*c - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vl when two letters picked without replacement from {k: 4, t: 2, l: 8, v: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 31409, 62866, 94325, 125786, 157249?\n\"Answer: x**2 + 31454*x - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32.96 and 1423.\nAnswer: -46902.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 divided by -1673.\nAnswer: 180\/1673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11939309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/273000*-91)\/((-6)\/16)\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 650654772 a multiple of 364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31877 by -3.\nAnswer: -31877\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 - 3*w + 5. Is j(-5) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87068 + 87069 + 377*q - 174137.\nAnswer: 377*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 - 0.42. Let g = 0.02 + -0.02. Let i = -1420.7 + 1421. Which is the nearest to 0.2? (a) v (b) i (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/15 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7c (base 13) to base 3\nAnswer: -10211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 3*w - 12. Suppose 0 = 4*t - 2*g + 332, 0*g + 4*g = -2*t - 186. Let u = w + t. Round u to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) + 2)*-5)**2.\nAnswer: 1100*sqrt(19) + 57575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**3 + 5*k**3 - 2*k**3 + (3*k**3 + 4*k**3 - 5*k**3)*(-4 + 2 + 1) - 2*k**3 - 3*k**3 + 3*k**3)*(5 - 5 + 9*k).\nAnswer: -45*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394336945 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/117)\/(20\/16)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 114 - 42. Suppose 10*x + 5*g + i = 8*x, x - 4*g - 22 = 0. Solve 0 = -7*k + 15 + x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2. Let p(t) = 2*t + 1. Let x(w) = -j(w) - 2*p(w). Suppose -15 = -3*c - 2*c, -4*c + 3 = 3*z. Determine x(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6\/7, 3\/46, -0.1, 4\/3 in descending order.\nAnswer: 5, 4\/3, 3\/46, -0.1, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 890 and 31320?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23, -42, -59, -74, -87, -98?\n\"Answer: q**2 - 22*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-63)\/12)*980\/(-40).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 190, -5, -2 in ascending order.\nAnswer: -5, -3, -2, -1, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -7103820 to the nearest 100000.\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 576 = s + c, 0 = -3*s - 4*c + 585. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -22*o**2. Let r(c) = 45*c + 45. Let d(y) = -11*y - 10. Let k(m) = 9*d(m) + 2*r(m). Determine k(f(z)).\nAnswer: 198*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -5*v - 33. Let d = 15 - v. Suppose -17 = -w + d*x, 0*w - 4*x = 2*w - 46. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 12:45 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*j - 83*j = -840336. What are the prime factors of j?\nAnswer: 2, 3, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21600 and 8775.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o. Let r = -18 - -39. Suppose 0 = -8*m + m - r. Let s(q) = 7*q. Calculate m*s(l) + 5*k(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 724*v + 166*v + 9*v**2 - 150*v - 12*v**2 - 1.\nAnswer: -3*v**2 + 740*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -10913 >= -905782\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y + 9. Let v(s) = 3*s - 8. Let h(p) = -2*c(p) - 3*v(p). Let g be h(4). Solve -f + 4 = 3*r, -2*r + 0 - g = 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - (sqrt(84) - 2*sqrt(84)*2) - sqrt(84)) + sqrt(84))\/sqrt(12) + -3 + (4*-1*sqrt(7) - ((sqrt(112)\/sqrt(4))\/sqrt(4))**2)*3 + -5.\nAnswer: -29 - 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -20\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/29? (a) 87\/286 (b) 31 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2361*u**4 - 446*u - 10?\nAnswer: -28332*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) -12 (b) 2\/3 (c) 0.0021 (d) 1 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 74131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1175, -1737, -2295, -2849, -3399, -3945, -4487?\n\"Answer: 2*u**2 - 568*u - 609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + q = 1. Let j be -1 + (0 - -1 - (-24)\/(-252)). Which is smaller: j or q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.004 + -0.396. Let k = -6 - -3. Let q = 1.3 + 3.7. Which is the closest to -1? (a) q (b) h (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 divided by -4?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3*2\/6)\/((-3)\/64761) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)\/m**(-1))**37 assuming m is positive.\nAnswer: m**(-148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t. Let n(u) = -u - 2. Let a = 0 + -2. Let l(k) = a*y(k) - n(k). Give l(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*q + 27, 2*q + 5*o = 24 - 4. Let j = q - -1. Suppose -2*z = -j*z + 56. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3300*m + 3273*m - 162 = 0. Let r(g) = -8*g - 50. Calculate r(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(143) + sqrt(143) + -2*sqrt(143)*-3)*-4)\/(3*1*sqrt(176)*2))**2 + -5.\nAnswer: 5155\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 132 + -106. Let c = 76 - l. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5115*z - 71528. What is w(-14)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4386 - 4378. Solve 3*b = l*b + 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 825 = 3*p + 505, 1322 = 4*s + p. Calculate the smallest common multiple of 4 and s.\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 20469\nAnswer: 61407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a micrometer in nanometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82687584799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - z + 5 + 9 + 25. Let b be p(0). Calculate the highest common factor of 26 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/((-19)\/(3116\/(-1066)))\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.032 - -0.032. Sort -0.5, -1, -0.11, q in decreasing order.\nAnswer: -0.11, -0.5, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1872 and 251325.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*u + 38*u = 47. Let j = 68 + u. Let x = -10 + j. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, j: 4}. What is prob of picking 3 j?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 3*z**3\/2 + 3*z**2 + 6*z. Let a(y) = -19*y - 13. Determine 6*a(j) + 13*o(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1349268.\nAnswer: 1\/337317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/4 - (-97)\/4. Let d = 59 - y. Calculate the remainder when d is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.059614037 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/4)\/((-54)\/(-216)). Sort -14, v, -5, -1 in decreasing order.\nAnswer: v, -1, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1597569 divided by -1.\nAnswer: -1597569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 495.164ug in tonnes?\nAnswer: 0.000000000495164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - w. Let k(p) = p**3 + 4*p**2 - 5*p. Let j be (-1)\/(-4 - (0 + -3)). Let q(r) = j*k(r) - 5*s(r). Factor q(t).\nAnswer: t**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1299365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**3 - 440*s**2 + 8199*s - 20610 = 0?\nAnswer: -458, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*j**3*u**2 + j**3*u + 179*j**3 - j**2*u**2 + 214*j**2*u - 19*j**2 wrt j?\nAnswer: 30*u**2 + 6*u + 1074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5*f - 833 - 3202, 2*f - 3*t - 1629 = 0. Calculate the smallest common multiple of f and 280.\nAnswer: 22680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7597744*u**4 - 14008*u + 269 wrt u?\nAnswer: -91172928*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 286364?\nAnswer: 286363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 41 + 29 = 0. Let i = u - 13. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 95 = -4*c, 36*c + 19*c + 4*o - 108 = 45*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g*z**2 - 3648*g*z + 14*g + 667826*z**2 wrt g?\nAnswer: -z**2 - 3648*z + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6\/(d**(-2\/13)\/d)*d**(-6)\/d*d**0)\/((d**(-1))**(-31))**(3\/31) assuming d is positive.\nAnswer: d**(-37\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/((-1)\/2*-4). Suppose 0 = -30*b - 0 + 150. Suppose b*p - p + 20 = -5*j, -j + 25 = -5*p. Sort -3, p, m in decreasing order.\nAnswer: m, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*z**3\/7 + 26*z**2\/7 - 86*z\/7 - 60\/7.\nAnswer: 2*(z - 2)*(z + 3)*(8*z + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.2258826122705 and -2.\nAnswer: 2.2258826122705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 7) to base 11.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**2 + 2 - 160*f + 4*f**2 + 160*f to l*f + n*f**2 + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + ((-2620)\/(-11) - (-88)\/(-484)). Solve -12*t = v - 266 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18428541 * 49\nAnswer: -902998509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78119.73 millennia to decades.\nAnswer: 7811973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + i**2 + 4. Let v be r(0). Suppose -v*m = 2*x - 3*x + 7, -7 = -3*x - 2*m. Suppose 5 - x = k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16425662 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2068 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*b**2 + 0 + 0 + 188*b + 14 - 9.\nAnswer: -31*b**2 + 188*b + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*a - 51*a - 30 = 0. Factor -5*q - 2*q + a*q**2 - 3*q + 5 + 7.\nAnswer: 2*(q - 3)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 0 + 1\/60*r**5 + 0*r + 0*r**4 - 1\/6*r**3 + 8*r**2. Factor k(h).\nAnswer: (h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 24 = -5*w, -45*s - 4*w = -49*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 893310 and 120.\nAnswer: 3573240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**4 - i**2 + 1 + 8 - 28*i + 30*i + 2*i**2 in the form m*i**2 + o*i**3 + c + g*i + b*i**4 and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 12:37 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*b - 4*b**2 - 41*b - 35*b + 209*b - 45*b - 44*b.\nAnswer: -4*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/8, 0.1, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3457530 is divided by 50846.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 394*f - 77. Let w(t) = 5*t. What is w(p(b))?\nAnswer: 1970*b - 385","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(440) - (sqrt(440) + 2*sqrt(440)))\/sqrt(8)*-5)\/(sqrt(25)\/sqrt(5)*2 - sqrt(40)\/(sqrt(8)*1)).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 1779?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 16*i**2 + 9*i - 21. Let j(n) = -n**3 + 24*n**2 - n + 9. Let b be j(24). What is the tens digit of c(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6290 and 340?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-11))\/v*v**(2\/9)\/v)\/(v\/v**(-2\/11))**(-44) assuming v is positive.\nAnswer: v**(371\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/9))**(-2\/21)\/(w**18*w**(2\/25)\/w*w) assuming w is positive.\nAnswer: w**(-85528\/4725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -826.8 and -29.\nAnswer: 23977.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 7. Let x(p) be the second derivative of p**3\/2 - 2*p**2 + 2*p. Let k be x(4). Let r be t(k). Which is the smallest value? (a) -2 (b) r (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/4191 and -131\/120?\nAnswer: 167640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1498, 1438, 1378?\n\"Answer: -60*w + 1558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 11:38 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 189.6 and -0.0459.\nAnswer: -8.70264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 39, 149, 343, 621, 983?\n\"Answer: 42*n**2 - 16*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2795344406.\nAnswer: 2, 1397672203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 2:41 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 115191\/26 less than or equal to 4431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17.91 + 2.91. Which is the biggest value? (a) 1\/6 (b) y (c) -5 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 639781 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 1)*(-7*g - 2*g + 7*g + 6) + 28*g + 2686 - 2687 - 6*g in the form s*g + p and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3\/3 + 727030*k**2\/3 + 8809058975*k - 35240113500.\nAnswer: 5*(k - 4)*(k + 72705)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -498, -391, -284?\n\"Answer: 107*c - 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 6*s - 29 + 3*s - 15*s - 43. Let y be z(-11). Solve -5*l = -y*g, -3*g - 4 = -2*l + l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 709*i**4 - 3*i**3 + 602*i + 3. Let x(n) = -707*n**4 + 4*n**3 - 602*n - 4. Let r(c) = -4*j(c) - 3*x(c). Find the second derivative of r(m) wrt m.\nAnswer: -8580*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1973670 and -73\/12?\nAnswer: 3947340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -434*c**2 + 0*c + 0*c - 12*c**2.\nAnswer: -446*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.4889847 weeks?\nAnswer: 295737946560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258356 is divided by 73.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 j when three letters picked without replacement from {x: 2, w: 4, b: 3, j: 2, k: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 788999513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1573078*y**4 + 4*y**3 + 124900988 with respect to y.\nAnswer: -6292312*y**3 + 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s**2 - 15*s - 8. Suppose -9 = -4*p + 3*o, 5*p + 6*o - 10*o = 10. Is 14 a factor of z(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 21*g + 72*g = 20*g + 28*g + 23, 22 = -5*w + 2*g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -92787 and -92787 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from myrqh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -237 - -568. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (0 + -4 - 1 - -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 + 0.2. Let a = -6 + f. Let k = 3 + a. Is k at most -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -10 - (-2 + -5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2230454?\nAnswer: 2, 1115227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 13 = -11*f. Let l = 15 + -10. What is the second biggest value in f, -5, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2514.8834 to the nearest one hundred.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfdpffpfpfpnfffdpfp. Give prob of picking 1 n and 1 f.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.13 to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -16*u**2. Let p(j) = 4796*j**2. Give k(p(f)).\nAnswer: -368025856*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13200 by -100.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*h + 2391, 0 = -3*h - 3*k - 85 + 2452. What is s in -8*s - 795 + 2*s - 3*s**2 + h = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -265*c**2*k*y**3 + 19*c**2*y**3 - 41*c*k*y**3 + c*k*y**2 - 75*k*y**3 wrt c.\nAnswer: -530*k*y**3 + 38*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73 and 219?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -10. Suppose 0 = 3*w - x. Let d = 4506 - 4459. What is the remainder when d is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 1\/2, 1\/9, 0.12?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 7:49 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 equal to 5293\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -364, 2, -11, -6, 3, -39, 1 in ascending order.\nAnswer: -364, -39, -11, -6, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -9*f + 150. Let l = 1 - -15. Suppose v + 5 = l. Calculate the remainder when f is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 500 and 66?\nAnswer: 16500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*q**3 + 8*q**3 - 6*q**3)*((5*q - 3*q - 3*q)*(1 - 1 - 6) + 2*q + 3*q - 2*q) - 4*q**4 + 0*q**4 - 5*q**4.\nAnswer: 81*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-119)\/9 + (-2)\/(-9). Let q = t - -17. Suppose 0 = -2*p - q*p + 354. List the prime factors of p.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -9*a**3 - 6. Let z(d) = -10*d**3 - 5. Calculate -5*t(c) + 6*z(c).\nAnswer: -15*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3 - 402*t**2 - 7659*t - 7258 = 0. What is t?\nAnswer: -382, -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.081314 to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 146, -1\/8, 2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(20\/608)*(-190)\/570*(-6)\/(-4)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - 32*q - 15. Determine h(19).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -135 - -253. Suppose -k*t = -115*t - 1827. Is 56 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 + (2 - 4) + 5. Let j = 6 - v. Solve 7*h = 2*h - j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6846945771253 + 6846934574649.000033. Let j = a - -11196595. Let s = 9 + j. Round s to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 11*l - 121. Let t be y(16). Factor 5*g**3 - 25 + 8 - 30*g**2 + t*g - 12 - 1.\nAnswer: 5*(g - 3)*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15907271 and 240982.\nAnswer: 2459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 710 + -708. Put 4, -2\/3, k, -1 in decreasing order.\nAnswer: 4, k, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + n - 2)*(-10 - 5*n + 8 - 22*n).\nAnswer: -27*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -243\/154 + 6\/77. What is the nearest to -1\/4 in -2\/11, d, -0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*z + 2*h + 4, 4*h = -z + 127 - 105 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 378*q + 183*q**2 + 188*q**2 + 197*q**2 - q**3 - 1 - 573*q**2 + 0*q**3 as h*q + k + r*q**2 + a*q**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 27*m + 8. Let x be y(-25). Let b = x + -49. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*-1*1\/6. Let y = -3.6 - 0.4. Which is smaller: s or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x + 2*x**2)*((x - 6 + 6)*(15 - 1 - 3) - 4 + 3 + 2*x + 0*x - 2*x - 2*x + 0*x).\nAnswer: 18*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 141 and -4?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j + 34. Let v be f(16). Suppose d = -2, -z - 4*d = -v*d + 6. Is 8325\/63 - z\/(-14) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37 and 999?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6 = -m, 0*t - m = 2*t - 10. Which is the second smallest value? (a) -3 (b) -0.1 (c) t (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 164645290 to the nearest integer?\nAnswer: 12831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/21))**(1\/81)\/(y**(2\/17)\/y)**35 assuming y is positive.\nAnswer: y**(892991\/28917)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -124 - -123.8. Suppose 4*l - 4*y - 32 = 0, -2*y + 8 = 5*l + y. Let h = 175.3 + -176. Which is the third smallest value? (a) r (b) h (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14738, -29476, -44214, -58952?\n\"Answer: -14738*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 457*j**2*l**3 + 6*j**2*l**2 + 2*j**2*l + 5*j**2 + 24*l**2 + 207*l wrt l.\nAnswer: 2742*j**2*l + 12*j**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*g - 137 - 127 = -15*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h = -s + 13*h - 2, -2*s + 7 = 3*h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -98803.829 rounded to the nearest 10?\nAnswer: -98800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -236\/105 - -23\/15. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -4 - -3 - (1 - 3 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 1\/38 (b) -1\/26 (c) -0.3 (d) -99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 27, 10, -13?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 3*l + 5*l + (6 - 2 - 2)*(-2 + l + 2) + 1 + 8*l - 1)*(-1 + 3 - 1).\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -8*b**2. Let n(j) be the third derivative of j**4\/12 + 2*j**2. Calculate z(n(m)).\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + (-2*(1 + sqrt(539)) - (-4 + 1 + sqrt(539) + sqrt(539)) - (-4 + 1 + sqrt(539))*-3)**2).\nAnswer: 560*sqrt(11) + 3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39196897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0 - 86 = -5*o, -5*p + 22 = o. Suppose 4*n = 3*k + 8, -o*k = -13*k. Solve u - w + 1 = -n*u, -4*w = -16 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-48)\/(-21) - 2\/7. Let q(f) = 6*f - 1. What is the remainder when 43 is divided by q(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.093572 or -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 3*l + 3*l)*(4249*l - 2346*l - 2378*l)*(4*l + 9 - 9).\nAnswer: -3800*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -26. Suppose 8 = 3*u - 7*u + 2*v, y = 5*u + 3*v - 12. Solve 0 = 4*l - 2*k - 12, u*k + 11 = -l + 4*k for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 575, 1202, 1949, 2876, 4043, 5510, 7337, 9584?\nAnswer: 12311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 h, and 1 c when three letters picked without replacement from rcxxxhhrrhxhhhxccch?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*o = 2*a + 380, 5*o + 625 = -5*a. Let w = a + 130. Let q(l) = -l + 7. Let u be q(5). Sort -2, -1, w, u in increasing order.\nAnswer: -2, -1, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*d**4 + 3*d**3 - 4*d**3 - 3*d**2 + 2*d**2 + 42*d**4 - 44*d to the form o*d**4 + c*d + w*d**3 + g + x*d**2 and give c.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/54 + 87\/27. Suppose -2*w - u*h - 33 = 0, 0 = w + h + 7 + 11. Sort 3, 1, w in increasing order.\nAnswer: w, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1359.45881 at most as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/2 - (-1)\/(-2). Suppose 21 - p = 4*u. Solve -19 = -2*d + k + u*k, -2*d + 3*k = -9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110 + -10111000?\nAnswer: -10100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - sqrt(297)*-2 - (1*sqrt(297) - sqrt(297)))\/(sqrt(396) - sqrt(396)*2 - sqrt(396) - (sqrt(99) + 1*sqrt(99) + sqrt(99))).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 0*y - 1 + 0*y)*(3 - 3 - 1) + y + 0*y + 2*y.\nAnswer: 4*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 820 = -172*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 2. Let h be k(7). Let f(g) = 3*g + 2. Let t be f(h). Let z be ((-18)\/(-45))\/(2\/95) + -3. Is t equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-74)\/(-333))\/((1580\/45)\/4)\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000528839516 to 7 dps.\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5482 and 2.\nAnswer: 5482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31.07 + -31. What is the closest to -2\/5 in n, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109237 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 997 + -1761. Let v = 6898\/9 + f. Find the common denominator of v and -58\/69.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v = 0. Suppose 0*f + 4*f = v. Solve -6 + f = -2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 882 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/72865263 and 53\/1381332.\nAnswer: 291461052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of b**3 + 6*b**2 + 38*b - 25. Let j(x) be the first derivative of m(x). What are the prime factors of j(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121779520 divided by 4?\nAnswer: -30444880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 6:07 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -1. Let v = -100 + 111. Let x be (-1 - h)*(v - 10). Solve 2*k = -4*n + 20, x*n + 15 = 3*n + 3*k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 725 + 283 = 21*c. Let j be 82\/6 + 16\/c. Solve -2*u = -3*s + j + 4, 7 = -u + s for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 568 - 503 - (-9 - (-66)\/(-2)).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/(-182))\/(6\/(-8))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -17 - (-29 + (-4 + 7 - 6))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2995, -5722, -8199, -10426, -12403?\n\"Answer: 125*h**2 - 3102*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**3 - 9*k**2 + 9*k - 4. What is o(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5579 + -5583. Let m = -7 - -5. Suppose -10*u + 7*u + 87 = 0. Put p, m, u, -5 in ascending order.\nAnswer: -5, p, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 823978836.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6, -2\/17, 45, -1\/4, 0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -451968597.09905434204829 - 97.90094511795171. Let h = g + 451968686. Let v = 9 + h. Round v to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + sqrt(84)\/(sqrt(24)\/sqrt(2)) + ((sqrt(84)\/sqrt(2) - sqrt(42)) + sqrt(42) + sqrt(42))\/sqrt(6) + (sqrt(7) - sqrt(343)*2)))**2.\nAnswer: 1000*sqrt(7) + 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23.1739 - -23.29. Let h = 0.117283 - q. Round h to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126 divided by -5.\nAnswer: 126\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3070364 is divided by 269.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1135 is divided by 372?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-8)*12\/(-14).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 18*f - 62. Suppose 0 = -372*l + 345*l + 243. Give n(l).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 15*t**2\/2 - 5. Let p(c) = 301*c - 146*c - 153*c. Determine p(z(g)).\nAnswer: 30*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 2094 = -2183. Solve 9*d + c = -38*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6213069 is divided by 2334?\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 258765151*x**3 - 8502*x**2 - 4524*x - 1 wrt x?\nAnswer: 1552590906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 b when three letters picked without replacement from {q: 6, b: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 6 = -24. Let z be 47\/(-5) + r\/(-15). Let s be z\/(-1)*5\/15. Solve -v - 5 = -4*h + s, -24 = 5*v - 4*h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 25*b**2 + 1001*b - 1961. Determine w(-42).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8747011 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/2376894 and 83\/78.\nAnswer: 2376894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 854, 3273, 7306, 12953, 20214?\nAnswer: 29089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(1\/(-2)*2). Suppose -2*a = -4*m + 30, -39 = -m - 3*a - 21. Solve -m = -4*b + c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -13*z - 38. Let u(h) = -164*h + 816. Let p be u(5). Give j(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -1. Let m(y) = -y + 2. Give 5*m(a) + 10*u(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 69\/4 (b) 4 (c) -8156 (d) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*s - 940 = -136*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 26*g + 15. Calculate the remainder when -11*(0 + 8\/(-4)) is divided by x(-26).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9815*i**2 - 11612*i**2 + 4227*i**2.\nAnswer: -17200*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times -11874.782\nAnswer: -831.23474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6+137542.6\nAnswer: 137536.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 (base 11) in base 9?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14334*x**3 + 7193*x**3 + 7313*x**3.\nAnswer: 172*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.8698288 micrograms?\nAnswer: 0.0000008698288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499501278?\nAnswer: 2, 3, 29, 41, 23339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = x - 2. Let f = -101\/414 + 1\/46. Let l be (-3)\/(-12) + 22\/(-24). Which is the closest to l? (a) -4 (b) x (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110245 divided by -40?\nAnswer: -22049\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/2696 and -97\/40440.\nAnswer: 40440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06981 - -351.458.\nAnswer: 351.38819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) + (sqrt(336)*2)\/sqrt(12) + sqrt(28))\/(sqrt(28)\/sqrt(28)))**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**2*d + 2*b**2*u - 2*b*d*u**2 - 2*b*u**2 - 683*b - 2*d*u**2 with respect to d.\nAnswer: 2*b**2 - 2*b*u**2 - 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.41762kg in milligrams?\nAnswer: 93417620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 4280507?\nAnswer: -15\/4280507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1039191872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83294.33t to grams.\nAnswer: 83294330000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 2*i + 34, -1620*h = i - 1617*h + 45 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 - (4 + -1 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5428416941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/7 + -1 + (-1710)\/(-665). Suppose u + 5*d = 112, 5*u - m*d - 506 = 110. Calculate the remainder when u is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 2:13 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3 = -0*t. Suppose -3*u = 3*k - 285, -t*k = -1 + 7. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -26*v**2 + 1804*v + 206784. Give i(-61).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k**2 - 9*k - 188. Calculate q(-10).\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 3*c + 58 - 72 = 0, -8 = 53*p + 5*c + 25 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 438 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: Simplify (2 + ((0 + 5*-1*(-1 + sqrt(153))*-2*1)*-6)**2)*-4.\nAnswer: -2217608 + 86400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 796*z = 686*z - 3740 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24978 + 50510. What is the ten thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014 rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 463546 divided by -161\nAnswer: -463546\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139 divided by 66.\nAnswer: 139\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 34 (b) 2 (c) 0 (d) 5 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 2\/32609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -99 + 102. Suppose 5*i = 3*b + 13, -2*i = -6*i + 4*b + 4. What is z in -16*z**4 + 2*z**n - 6*z**3 + 26*z + 8 - 162*z**i + 156*z**5 + 24*z**2 = 0?\nAnswer: -1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3\/4 - 7*s**2\/2 + 19*s\/4 - 2.\nAnswer: (s - 1)**2*(3*s - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79908 and 898068.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-40)*25\/3*(-18)\/75\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*a + 22635 = -17*a. Let j = -948 + a. List the prime factors of j.\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0395 + 4.9605. Let h = -5.6 - -6. Let q = -0.092 - 0.008. What is the biggest value in v, h, -3, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1580158 and 1.1.\nAnswer: -1738173.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + a - 4. Let f be i(-3). Let b be (-2)\/1*51\/(-34). Suppose 4*l = -n + b*n - 174, -f*n = -2*l - 168. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**5\/3 - h**4\/24 + h**2. Give b(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372431 less than 372450?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l - 97. Does 11 divide z(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 5*c**2 - 4*c + 7. Let o be g(4). Suppose 36 = -o*a + 729. Calculate the remainder when a is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 3*r + r)*(-2 + 2 + 2*r)*(34*r**2 - 495*r**2 - 146*r**2).\nAnswer: 2428*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 151767525?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -5. What is the tens digit of 18 - (d\/2 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-232)\/5 + (-6)\/(-15). Let u = c - -44. What is the units digit of 10\/(-20) - u\/((-8)\/(-38))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -106228 and -106227 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*j - 35*j + 5*u + 50, -2 = 2*u for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 + z - 4. Let m = 2 + 5. Let o(y) = y**2 - 8*y + 5. Let b be o(m). Let u(p) = -p**2 + 2. Give b*j(t) - 5*u(t).\nAnswer: -t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44670*a**3 + 5366*a**2 - 1 wrt a.\nAnswer: 268020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -173 + 173.06825. Let i = 113.511 + -113.44. Let x = f - i. What is x rounded to 4 decimal places?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3 + 13*s**2 - 54*s + 72 = 0. What is s?\nAnswer: 3, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/11 - ((26 - 8466\/231) + 10). Factor -j*t - 12\/7 + 4\/7*t**2.\nAnswer: 2*(t - 2)*(2*t + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = d - 21. Let t = 8 - 6. Suppose t*u = d*u - 20. Solve -u*b + 6 - 2 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 10*t - 10. Let r(v) = -v**2 - 11*v + 11. Let y(i) = -6*r(i) - 7*x(i). Let h be y(1). Let g(o) = h*o**2 + 8*o**2 - 15*o**2 - o + 1. What is g(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/12*(-189)\/(-168))\/(99\/(-22)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -2 * 4.7947\nAnswer: -9.5894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -3*d - 2*g, d = -d + 4*g + 184. Let v be 9\/(-3) - (-19 + 2). What is the greatest common factor of d and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40699456 to the power of 1\/2, to the nearest integer?\nAnswer: 6380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**4 + 3*m**4 - 2*m**4 + (-2*m + 6*m + 3*m)*(-1267*m**3 - 512*m**3 + 124*m**3).\nAnswer: -11584*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94544 and 816.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2156*a - 2115*a - 429926 = 0. Calculate the remainder when a is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 95537, 764321, 2579595, 6114605, 11942597, 20636817, 32770511?\n\"Answer: 95541*h**3 - h**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*i**2 + 120*i**2 + 204*i**2.\nAnswer: 244*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15142905 to the power of 1\/3, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 425159.1 to the nearest one thousand.\nAnswer: 425000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12569 + 3062?\nAnswer: 15620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 i when three letters picked without replacement from {o: 3, l: 2, v: 3, i: 3, x: 3, h: 3}?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -758603\/88380 - -2\/22095. Find the common denominator of k and (711\/(-117))\/(2 + 0).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, l: 3}. What is prob of sequence lool?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 + 56.06. Let g = k + -6.06. Put -1, -2\/3, g in descending order.\nAnswer: -2\/3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -1. Let n be 1 + u + 1 + 2. Let b(j) = 2*j**3 - 6*j**2 - 6*j + 7. Let g be b(n). Calculate the greatest common divisor of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1638 and -78 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2568 - 583*q**2 - 2568 - 2*q + 2*q as u*q + a*q**2 + k and give a.\nAnswer: -583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 1222*z**2 - 2*z + 2. Let f(j) = -2431*j. What is c(f(a))?\nAnswer: 7221727942*a**2 + 4862*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 118*c*o**3 - 1436659*c - 4280*o**3 wrt o.\nAnswer: 354*c*o**2 - 12840*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -559 - 606 = -39*j - 385 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104821, -104826, -104833, -104842, -104853?\nAnswer: -104866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.4, -2\/19, 6, 3, 21244, 4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 9 + 2*f**3 + 15 - 6*f - 2*f**4 - 4*f**2 - 54 + 17 to the form g + k*f**4 + c*f**2 + h*f + j*f**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1709? (a) 0.4 (b) -1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**4\/8 + 2*z**3\/3 + 7*z**2. Determine r(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, 5, 1.8, 7, -0.1, -3\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/72 and -37\/150.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 0*u**2 - 3*u**2 + 0*u**2 + 6*u**2. Let b(p) = 3*p. What is b(w(h))?\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.2 - -1.16.\nAnswer: -1.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 8 = -0*q + 4*q, -10 = 5*y. Solve q = -5*t + g - 10, -3*t - 5*g = -t + 31 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2487? (a) 0.5 (b) -0.1 (c) -5 (d) 7.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (6 - (10 - 17))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -75033 divided by 3\nAnswer: -25011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**4\/5 - 1792*q**3\/5 + 229248*q**2\/5 - 1327104*q - 68677632\/5 = 0?\nAnswer: -8, 72, 1656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 626\/2 + (4 - 1). Let t = 5416 - 3631. Suppose 1176 = 4*n + s, -5*n + t - r = s. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/3)\/((-3)\/(-18)). Factor 0*t**3 - 17*t**4 - 14*t**4 + r*t**4 + 3*t**3.\nAnswer: t**3*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -38 - (-338881)\/9327) + 70*14\/354\nAnswer: 6\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 3.01. Let i be (2 - 1)\/(-1 - 0). Let z(p) = p**2 + 225*p - 1383. Let q be z(6). Which is the nearest to t? (a) q (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-39)\/((q**(-12\/5)*q)\/q) assuming q is positive.\nAnswer: q**(-183\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19545636 to the power of 1\/2, to the nearest integer?\nAnswer: 4421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 122\/35?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 5*a**5)*(-2 - 35 + 3).\nAnswer: 170*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q**3 - 20*q**2 - 10*q - 18. Let w be z(4). Is w >= -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3 = -99. Let o be 4\/((-8)\/(-4) + i). Let g be (-26)\/(-10) - (9 + -7). What is the closest to g in o, -1\/8, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40655743.\nAnswer: 23, 1767641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10202 (base 4) to base 2.\nAnswer: 100100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4\/5 - 11864*v**3\/5 - 17582444*v**2\/5 + 35200488*v\/5 - 17606178\/5 = 0 for v.\nAnswer: -2967, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nklcu. Give prob of picking 1 c and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*x - 302296 = -17*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1014*t**2 + 505*t**2 + 508*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15727*k - 15700*k - 1009*k**2 + 31427*k.\nAnswer: -1009*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 80\/15)*((-8 - -3) + 2). What is the second smallest value in p, 2\/9, -3\/5, -13?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4818 and 6424.\nAnswer: 19272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i + i**2 + 58 - 61 + 9*i**2 to y*i + v*i**2 + p and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8194284 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57418 + 57347.289. What is v rounded to 0 dps?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-48)\/(6 - -2)*(-34)\/12. What is the greatest common factor of 153 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d + 34. Let x be y(-6). What is the units digit of ((-15340)\/(-4) - x)\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - w**2 + 1. Let j be l(0). Suppose -j + 9 = 2*i, 2*h + 5*i = 16. What is the units digit of (1 + h)\/((-1)\/31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*2*sqrt(70))\/(sqrt(6)\/(sqrt(9)\/sqrt(3))))\/((sqrt(720) + sqrt(720)*2)*1 + (sqrt(720) - -2*(sqrt(720) - sqrt(720)*-2))).\nAnswer: -sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.846062ug to nanograms.\nAnswer: 846.062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2213683 + -1443764. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(2\/(-14)))\/1. Let d(k) = n - 1 - 1 - 4 - 3*k. What is the tens digit of d(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 152 and 24.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116, -3, -2 in increasing order.\nAnswer: -3, -2, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*o + 5*j - 9, -j = -2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u**2 + 401*u + 800. What is the tens digit of v(-81)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (-88 - ((-16 - (5 + -11)) + 21))\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.797 times -133589?\nAnswer: -106470.433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21, 44, 67, 90, 113, 136?\n\"Answer: 23*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-1)*(-3)\/(-6). Let f be a - (-2)\/(-4)*-2. Find the second derivative of 4*u + u**f - u + 0*u**2 wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.6 + 10. What is the third biggest value in -3, 0.3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 172796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-5))\/(8\/20). What is the remainder when 2*x*(-6)\/(-8) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 z when four letters picked without replacement from {j: 4, q: 6, z: 3, b: 6}.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddw when three letters picked without replacement from {w: 8, d: 5}.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 11:26 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/42 + 7212\/42. Let h be (6 + a\/(-28))*-14. Factor -4\/9 - 2\/9*v**h + 2\/3*v.\nAnswer: -2*(v - 2)*(v - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -142*u - 28. Let t(k) = -47*k - 10. Let y(p) = 14*t(p) - 5*v(p). Let f(n) = n**2. Give y(f(j)).\nAnswer: 52*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57447 is divided by 122.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 107226765?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3617 take away -44?\nAnswer: 3661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 270810 less than 270891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2809 is divided by 104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 425 - 388. Let s(c) = c**2 - 36*c - 25. Let v be s(g). Calculate the greatest common divisor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -167 (b) 11\/2 (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -13*y - 11. Let f(o) = -7*o - 6. Let b = -11 - -5. Let u(v) = b*k(v) + 11*f(v). Let d(r) = 5*r**2. Give d(u(h)).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b2b9008 - 0?\nAnswer: -3b2b9008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -13350000 to the nearest 100000.\nAnswer: -13400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -886*z + 289*z + 304*z + 315*z.\nAnswer: 22*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**2 + 15*t + 801. What is j(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43.3 - 5.3. Let d = c + -44. What is the smallest value in 2\/9, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*b - 8 = 0, 6*b - 7*b = -2*n + 12. Suppose 0 = 4*q - 3*q - 23. What is the remainder when q is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 1:34 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20135414?\nAnswer: 2, 13, 774439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*u + 198*u = 210390. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43266 + -3?\nAnswer: 43263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.011 and -0.924.\nAnswer: 0.010164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 627\/2 and 313 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 10:22 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 361 a factor of 4805906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 5, -2\/305, -0.5?\nAnswer: -2\/305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 7. Let c(j) = 2*j**2 - j**2 - v*j**2 + 4*j. Let p be c(4). Solve -2*q - 2 = -p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 403572 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 -5*s - 41 = -2*p - 2*p, 0 = -5*s - 25. Solve -w + p*w - 15 = 0, 0 = -n - 5*w + 26 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**3 + 12*l**3 + l**3 - 93*l**2 - 12*l**3 + l**4 wrt l.\nAnswer: 24*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50046419, 100092833, 150139247, 200185661?\nAnswer: 250232075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200368860 to the power of 1\/2, to the nearest integer?\nAnswer: 34646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -1. Suppose -2 = -c*o + 2. Let p be -1 + 2 + 2\/o. Solve 2*h + 1 = 3*l + 8, 0 = p*l - 5*h + 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 9 = -f - 3*q, 17 = 3*f - q. Let c = f + -2. Suppose 2*n = 4*n - c. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.353 > 2642?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.027 in -2, 0.4, 0.5, 341, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/15 - 44\/(-55)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*(-60)\/675)\/(69\/(-2484)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*d - 10, i = -d - 5 - 6. Let f(a) = a**3 + 10*a**2 + 9*a. Let g be f(d). Let n = -5 - -14. Solve -4*u = -5*x - g*u + 22, 3*u + n = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 120022?\nAnswer: -120030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 4*n - 2. Let a be y(4). Let c be a\/7 + (-1060)\/(-35). Suppose -4*l + 134 = c. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qc when two letters picked without replacement from qqcqccqqcqcccqccqqc.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + 0 + 0 + sqrt(192) + -1 + 3)**2 + -1 + ((sqrt(12) - sqrt(72)\/sqrt(54) - sqrt(12)) + sqrt(12))\/(3*2*sqrt(4)).\nAnswer: 577*sqrt(3)\/9 + 771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248422 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 133, 139, 159, 199, 265?\n\"Answer: r**3 + r**2 - 4*r + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.102903905 rounded to 2 decimal places?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -83, -441, -1027, -1835, -2859, -4093, -5531?\n\"Answer: a**3 - 120*a**2 - 5*a + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 268. Let w = -3311 + 39793\/12. Find the common denominator of (9\/10)\/(126\/f) and w.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005829930261 to seven dps.\nAnswer: -0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 176 = 4*m + 4*b, 2*m = 2*b + 96. Let t = m - 31. Suppose -t*q + 14*q + 1637 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145944 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 214249*y**2 - 1016*y - 2032. Let o(x) = 632*x**2 - 3*x - 6. Calculate -3*m(k) + 1016*o(k).\nAnswer: -635*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6802851 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * -0.0703.\nAnswer: -0.002812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, 1\/4, 17, -2\/3.\nAnswer: -80, -2\/3, 1\/4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -8*q + 3*q. Suppose -18 = -q*u + 10. Let h(g) = 32 - u - 3*g - 12. What is h(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4884 and 9504.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/55)\/(12\/33)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 6) + 2 + 0 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2108)\/(-22) - 1 - 14\/(-77). Suppose -r = -4*i + 65. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.77758?\nAnswer: 2.33274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83756*r**2 - 4*r + 2*r - 9854*r**2 + 22072*r**2.\nAnswer: -71538*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43 and -21.9.\nAnswer: 941.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2657*a - 3*g + 21 = -2655*a, -a + 12 = 2*g for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46135 = 3673*g + 15978 - 12369 - 56645 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times -52333\nAnswer: -2093.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 - 8*l**2 - 4*l**2.\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22640 - -22640. Sort 3, 0.2, t, 2\/665.\nAnswer: t, 2\/665, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/15, -0.17, -1\/3, 0.3 in increasing order.\nAnswer: -3, -1\/3, -0.17, 2\/15, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 30 - -20 - 87 - (0 - 5 - -1)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(675)*-1 + sqrt(675))*6 + sqrt(675) - (sqrt(675) + -2*(sqrt(675) - 2*sqrt(675) - sqrt(675))))\/((sqrt(90)*1*3)\/(sqrt(60)\/sqrt(150))).\nAnswer: -4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 10:32 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, b: 3, l: 4}. What is prob of picking 1 b and 3 l?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 140, 134 in decreasing order.\nAnswer: 140, 134, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.6, -72, -0.05, -1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, c: 1, e: 1, v: 1, y: 2, d: 2}. Give prob of picking 1 c and 1 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5445, -3179, 597, 5883, 12679, 20985?\n\"Answer: 755*z**2 + z - 6201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8742343489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 103271, 206566, 309847, 413108, 516343, 619546?\n\"Answer: -u**3 - u**2 + 103305*u - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 2*s + 10. Give i(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1875 + -16871\/9. Find p, given that 16\/9*p**2 - 2\/9*p**5 + 4\/9 + 14\/9*p - 4\/9*p**4 + h*p**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 3*c + 57, -4*c + 2*c + 32 = h. 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: Evaluate (18 - (-4 + 27)) + 17 - (-15 + 3).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*o + 5*r - 72, -r = o + 27. What are the prime factors of 12\/o - 364\/(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 32.83934 milligrams?\nAnswer: 32839.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u. Let i(z) = -6*z - 8. Let q(h) = -1165*h + 16. Let n(c) = -2*i(c) - q(c). Give s(n(d)).\nAnswer: 2354*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z = -16706 + 15194. What is the highest common factor of 1218 and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -577 + 235. Let m = -1331\/4 - v. Calculate the common denominator of m and -5 + 1 - 1235\/38.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 574386912058.\nAnswer: 574386912054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -187, -383, -583, -787, -995, -1207?\n\"Answer: -2*d**2 - 190*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 694000 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121 (base 8) to base 11.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/12)\/(30\/(-216)). Let g(y) = y**3 - 3*y**2 + 2. Let o be g(3). Which is the closest to 0? (a) o (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -12, 5\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 10:46 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-8) + 1\/(-4). Let r = l - -17. Suppose -44 - r = -5*b. Calculate the remainder when 34 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 904942.\nAnswer: 2, 59, 7669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 6*i - 249. Let j be n(-21). What is the highest common factor of 99 and j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1902 - 1769)\/((-14)\/10).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a micrometer in nanometers?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3\/5, 3, -3, 0.039?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*a = 232 + 56 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16, 2151.211, -4?\nAnswer: 2151.211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49453 and 782521?\nAnswer: 2909","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.44, 2\/25, -3\/2, 5.\nAnswer: -3\/2, 2\/25, 0.44, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2.1. Let v = 0.1 - 1.1. Suppose 0 = 2*u + 4*j, j + 3*j = -4*u + 4. Which is the closest to q? (a) v (b) u (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 3*x - 27 = 0, 2569 - 2536 = 3*g - 3*x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295925 is divided by 210?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-334)\/(-5845) + (-317)\/35.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 921921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + o**2 - 5*o - 3. Let c be u(-3). Let g = 10 + c. What is the units digit of 2\/3 + g\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fourty-two fifths of a second?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 14 - (110 + -116)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 4\/17, -3, 0.03 in ascending order.\nAnswer: -3, -0.3, 0.03, 4\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9.4 (b) 123 (c) -6\/11 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 996 - 0.09.\nAnswer: 995.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-3))\/(-4)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*j = -1632. Let o = -583 + j. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 l when four letters picked without replacement from jkljjkjkjgllqgkkj.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47457, -380027, -1282749, -3040707, -5938985, -10262667?\nAnswer: -16296837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398 is divided by 0 + (-2 - 12) - -22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1970 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(3\/(-4)))\/((-78)\/(-117))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-35)\/(-10) - 2\/4. Let l(h) = 2*h**2 - 3*h + 2. Calculate the least common multiple of l(a) and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1046, -2025, -3004, -3983?\n\"Answer: -979*z - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/12 - 33\/(-4). Let h(y) = 5*y + 2. Suppose -2 = -4*s - 14. Let a(k) = 2*k + 1. Give r*a(z) + s*h(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 356*m**2 + 230*m**2 - 189*m**2 - 9*m as k*m + u + v*m**2 and give v.\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*s - 3133391 = -3135652 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**6\/3 + 6*b**5\/5 - 3*b**4\/2 + 2*b**3\/3 - 1. Find x such that s(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 213078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -80*d**3 - 35*d**2 + 80*d - 35. Let y(x) = 9*x**3 + 4*x**2 - 9*x + 4. Suppose -2*l - 5 = 3. Let j(i) = l*b(i) - 35*y(i). Factor j(p).\nAnswer: 5*p*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -230*k**3 - 532*k**2 + 535*k**2 - 632*k**3 as b*k + y*k**3 + p + j*k**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 278 + 93. What is the remainder when t is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 4*t - 263, u - t + 400 = 6*u. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 2*c**7\/15 - 47*c**4\/12 + 29*c**2. Find the second derivative of v(q) wrt q.\nAnswer: 336*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82*w**3 - 127798*w + 155744404.\nAnswer: 246*w**2 - 127798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/55 (b) 23 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 - 2*j**2 - 12*j**2 to a*j + d*j**2 + b and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1176\/(-63)*42\/49\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-32237494.\nAnswer: -16118747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 3, 0*g + 21 + 6 = -5*v - 11*g - 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*b + 5*t + 405, -5*b + 423 = t. Let f = 134 + b. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 229\/(-1) + 19 + -13. Let z = -222 - n. Solve 5*p = -z - 24 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -76*n + 1032. What is the lowest common multiple of n and 12824?\nAnswer: 12824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sysfky. Give prob of sequence ss.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -13*j**3 - 2*j**2 + 1. Let i = 14 - 15. Let q be f(i). Let p(d) = d - 6. What is the remainder when p(q) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9}. What is prob of sequence uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnc when three letters picked without replacement from nnc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19955650.\nAnswer: 2, 5, 11, 13, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.9814 rounded to one decimal place?\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/18 and -37\/117?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**2 - 21*g**5 + 0*g**2 - g**2 wrt g?\nAnswer: -1260*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1303960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**2\/9 - 472*a\/9 - 2176\/3 = 0. Calculate a.\nAnswer: -102, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -225*l + 237*l - 108. Solve -4*t = 3*y + 14, 3*t + 3*y + 0 = -l for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43147*q - 21571*q - 1064*q**2 - 21576*q.\nAnswer: -1064*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-42))\/((-50)\/70 + 10). What is the second smallest value in s, 2\/3, -37?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 3*n - 65 - 46, -12 = 4*n. Let z = m - -36. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 154983560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**2 + 31*x**2 + 42*x**2.\nAnswer: 67*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/247 - (-7868)\/19. Let s = -396 + t. Solve -5*h - s = -2*i, 0*i = -5*h - 3*i - 23 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 122*j + 218*j + 98*j - 578*j. Let w(v) = -53*v. What is w(t(a))?\nAnswer: 7420*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(-81)*186364 - (-2)\/(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -1.9. Let h = 14.6297 - 14.6197. Put h, 6\/11, q in decreasing order.\nAnswer: 6\/11, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**3 - n**2\/2 + 2*n - 1. Let v be k(-3). Suppose 0 = -b - 4*r - 8, -2*b + 7*b - 4*r - v = 0. Solve -9 - 11 = b*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3232329 is divided by 3232326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1820.577654us in weeks?\nAnswer: 0.000000003010214375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1075 take away 2.5?\nAnswer: -1077.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4, -5*y - 2 + 6 = -4*o. Suppose -y*p + 1156 + 36 = 0. List the prime factors of p.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-130)\/20 + 6)*0\/2. Solve 2*z + 2*z - 4 = t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 16\/7 of a week?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16773, -16799, -16837, -16893, -16973, -17083, -17229, -17417?\nAnswer: -17653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -41. Let l(m) = m**3 + 17*m**2 + 17*m + 19. Let g be l(v). Solve -5*z + 1 = g*i + i, -z - 2*i - 1 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 8*i + 4. Let b be ((-84)\/18)\/(2\/3). Let g be p(b). What is the remainder when 48 is divided by g - (-1 - (-3 - -22))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2999752 is divided by 1409.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -946, -3543, -7794, -13699, -21258, -30471?\n\"Answer: -827*p**2 - 116*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 64. Is s at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -i**2\/2 + 1. Let g be (-12)\/(-54) - (-22)\/(-18). Let f be s(g). Solve -4*y + f = -15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775 is divided by 97.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p. Let v(y) = 3*y + 6. Determine -5*b(z) - v(z).\nAnswer: 2*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118678, -237308, -355938, -474568, -593198, -711828?\nAnswer: -830458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173, 174, 175, 176, 177?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -2*z**3\/3 - 131*z - 1. Let f(h) be the first derivative of -1 + 0*h - 1\/2*h**2. Give f(m(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 342.9, 5, -892?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2491318 rounded to four decimal places?\nAnswer: 0.2491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**4 + h**3 - 3*h**3 + 0*h**4)*(-6*h - 3*h + 5*h).\nAnswer: -8*h**5 + 8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4210.\nAnswer: 2, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s. Let w be r(-1). Let f = 0 + w. Suppose 6*x - f*x - 112 = 0. Calculate the remainder when x is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 230180.\nAnswer: 3\/115090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1849 - 1847. Suppose q = -0*q. Let i(m) = -3 - 3*m + o + q - 5. Determine i(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -4, -3\/7, 4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*c = 187*c + 12. What is the nearest to -0.1 in 2\/7, -4\/3, c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1334)\/42688 - 639\/32\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*p - 6 + 6)*(-p**4 + 1 + 1 + 0*p**4).\nAnswer: 13*p**5 - 26*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*3*(-5*sqrt(33)\/sqrt(3))**2)*-3.\nAnswer: -2466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 + 27*t + 22. Let a be n(-10). Let l = a + -52. Suppose l = 4*i - z - 270, 2*i + 4*z - 348 = -3*i. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -17.4. Which is the third smallest value? (a) 2 (b) 0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 5 (c) 492 (d) -2\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 476*j - 884*j - 2 + 1744*j + 1842*j.\nAnswer: 3178*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2343, 2353, 2375, 2415, 2479?\n\"Answer: o**3 + 3*o + 2339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-21))\/(12\/(-14)). Let q = -1.39 + 2.32. Let u = 0.07 + q. Which is the second biggest value? (a) -2\/19 (b) x (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -662 (base 9) to base 14.\nAnswer: -2aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 + 51fb?\nAnswer: 51f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141 + 29.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26870242*d*r**2 - 1052*d*r - 2*d - 2*r - 268 wrt r.\nAnswer: -53740484*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 214932a (base 11) to base 9\nAnswer: 7083427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 1. Let j(v) be the second derivative of -11*v**5\/20 - v**4\/6 - v**3\/6 + 125*v. Determine j(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.724342 days in hours?\nAnswer: 209.384208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttrtrtr. Give prob of picking 2 r.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66257366 - -66262987.6078. Let c = j + -5623. Let x = c + 1.4. Round x to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5362b (base 13) in base 4?\nAnswer: 210232233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*s**3 + 2 + 11*s**4 - s + 5*s + 7*s**3 - 34*s**4 as r*s**2 + k*s + q*s**3 + m + v*s**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**5\/20 + 13*w**4\/12 + 8*w**3\/3 - 14*w**2 + 22*w. Let a be u(14). Suppose -6*m + 8082 = -a*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**2 - 5*d - 3. Let n(x) = 5*x**2 - 6*x - 4. Let v(c) = c**3 + 3*c**2 - 2*c + 3. Let k be v(-4). Calculate k*n(t) + 6*y(t).\nAnswer: -t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*v**3 + 2*v**3 + 14*v - 16*v + 5*v**3 + 9*v**2 as q*v**3 + d + g*v + m*v**2 and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 4*b - 8, -10364*b + 6 = -4*v - 10361*b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + l + 44, -n + 3*l + 16 = -4. Let m = n - -1. Suppose -p - 2*p = -m. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*h**3 - 39*h**2 - 4*h.\nAnswer: h*(h - 4)*(10*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*f - 18, 7*f - 3*f + 5*m + 30 = 0. Is (-654)\/f + 1 - 2\/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 between 4:12 PM and 7:35 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*v + 77*v + 22*v.\nAnswer: 157*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 155*d**2 - 4476*d - 60. Calculate m(29).\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 76410574, 5.\nAnswer: -3, 5, 76410574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/50*126280\/(-6888).\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -2. Solve -n - a = -2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/9)\/((-1)\/3)*8. Factor q*i**3 - 2\/3 + 4\/3*i + 14\/3*i**2.\nAnswer: 2*(i + 1)**2*(4*i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10323559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*s - 3*s = -16, -5*x - 5*s + 10 = 0. What is the second derivative of 57 - 57 + x*f**5 - 4*f wrt f?\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133 and 566713.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 11 = -x - 4, -5 = x. Suppose -o*d + 12*q - 11*q + 1793 = 0, 2*d - 3*q - 1791 = 0. List the prime factors of d.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228862407?\nAnswer: 3, 107, 712967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16996207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - x**2 - 2*x + 3. Let p be z(-2). Let w = 6 + 10. Suppose -k + 5*l = 20, -2*k + 2*l + 0*l = w. Is k less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3*1)\/(15\/10). Factor -1 - n**2 + 0 + 3*n**4 + c*n**3 + n**5 - 3*n - n**2.\nAnswer: (n - 1)*(n + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 1908.\nAnswer: -763.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 41c01 (base 13) in base 11?\nAnswer: 81010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6432 = -14*y + 12*y + 5*t, 2*y = -t + 6444. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f*m - 5118*f - 24*m + 2644 wrt f?\nAnswer: -2*m - 5118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -3 + -3 + -6 - 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 9) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1395\/14 or 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 2739592 (c) 2\/57 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2905 + -1692. Is 31 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 781004.5ng to micrograms.\nAnswer: 781.0045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**2\/2 - r + 85. Determine w(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 235*f + 3060. Give q(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 485838\/(-819) + (-6)\/(-21). Let n = p - -593. Is n less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + 4*2*sqrt(2299))*-5 + -5 + 2.\nAnswer: -440*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 13358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162020170 is divided by 36360.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 384*y**2 - 1864*y**3 + 52*y**2 - 1 + 163*y**2 - 29*y**2 + 2999*y**3 wrt y.\nAnswer: 6810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*y + 97*y + 127*v + 655 = 0, -y + v + 25 = 0 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**3 - 2*w - 345. Let k(t) = -7*t**3 + 5*t + 691. Let r(s) = -5*i(s) - 2*k(s). Differentiate r(c) with respect to c.\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - 13. Let i = -17.95 - y. Let j = i - 0.04999995. What is j rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.412 - -0.291. Let p = 0.021 + w. Which is the third smallest value? (a) 25 (b) 0.4 (c) p (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -13*q + 11. Let g(u) be the second derivative of -6*u + 0 + 7\/6*u**3 - 3*u**2. Let h(x) = -6*b(x) - 11*g(x). Let k(r) = -r. Calculate k(h(c)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 7:47 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 5*a + 5 = 0, 12*a = 2*z + 7*a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(2736)*-3)**2 - -3*(sqrt(2736) + 5 + sqrt(2736))**2) + 5 + -5.\nAnswer: 720*sqrt(19) + 57529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14940 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/16*(8\/(-50))\/(92\/230)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 10*w**3 - 12*w**2 + 9*w - 9. Let t(u) = u**3 + u - 1. What is -2*m(b) + 18*t(b)?\nAnswer: -2*b**3 + 24*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259*r - 36 = 250*r. Solve x + 4*w - 5 = 6*w, 0 = 2*x + r*w + 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**8\/20160 - s**5\/10 + s**2. Let h(u) be the third derivative of z(u). Let o(x) = -6*x. Give o(h(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(1\/36)\/l)\/l**(-5) assuming l is positive.\nAnswer: l**(217\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x - 3. Suppose 3*y + m = 4*m - 12, y = -m. Let t be z(y). What is the third smallest value in 5, -0.5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70564.\nAnswer: 2, 13, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.24084 + -0.20084. Which is the nearest to 0.3? (a) -0.23 (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 2\/(-8)*4)\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 2\/5, -1.59?\nAnswer: -1.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -2\/27*r**6 - 2\/9*r + 0*r**2 + 1\/9*r**4 - 1 + 8\/27*r**3 - 2\/15*r**5. Suppose b(q) = 0. What is q?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5*u = -145, 4*f - 4*u + 9*u = -117. Let d = -29 - f. Let q = 29 - 59\/2. Which is smaller: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 35 + 4 + o**2 + 32. Let x(u) = -3*u**3 - 2*u**2 - 2*u - 2. Give -2*k(j) - x(j).\nAnswer: 3*j**3 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 q when two letters picked without replacement from {h: 1, y: 1, g: 1, s: 2, q: 5, k: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + (-22 - (-23 - -11)) - -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182649373 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 - 3*i + 178. Let t be z(14). Let n be ((-144)\/(-15))\/3*5. Is (0 + (-138)\/9)\/(n\/t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 - 27 + 15 + 0*m**2 - 6 + 3 + 4.\nAnswer: m**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -32*q + 14072. Determine k(440).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**3 + 6*k**2 - 15*k - 18 = 0. Calculate k.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -502034 + 21?\nAnswer: -502013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-447)\/(-9) + 16\/(-24). Let y = 45 - s. Let g(d) = -2*d**2 - 4*d + 3. Determine g(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - (0 + -1) - (-698 + 54)?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * -0.199.\nAnswer: -0.1393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 279 and 87056649.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-2 + (-40)\/(-16)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -395*f - 76*f + 3538152. What are the prime factors of f?\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 9. Let d(t) = 6 - 47*t + 134*t + 3 - 49*t + 0 - 35*t. Let q(y) = y + 5. Give m*q(o) - 6*d(o).\nAnswer: -7*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-2))\/(-1 + 2). Let b(j) be the first derivative of j**4\/4 + j**3\/3 - 2*j**2 + j - 9. Determine b(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-8))\/y**1*y**(-2)*y**(-3)*y assuming y is positive.\nAnswer: y**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, -31\/5, 1, 2 in descending order.\nAnswer: 2, 1, 0.08, -31\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1575*q*y**2 - 124*q*y - 5*q + y**5 + 4*y**3 + 2*y + 1 wrt y?\nAnswer: 3150*q + 20*y**3 + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4, 10, 50, 128, 256?\n\"Answer: 2*d**3 + d**2 - 3*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 22. Let p = -5 - u. What is the biggest value in 4\/3, p, -1\/2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3 + 2*l - 5*l + 0*l + 4*l**3. Let y(b) be the third derivative of 11*b**6\/120 - b**4\/3 + 4*b**3\/3 - 2185*b**2 + 15. Calculate 8*w(v) - 3*y(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5 - 160*x**4 - 461*x**3 + 1570*x**2 = 0. Calculate x.\nAnswer: -157, -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - -29.675. Let q = -52.2 + 57. Let f = q + w. Round f to 2 decimal places.\nAnswer: -0.53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3 - 6. Suppose -4*k = -3*w - 32, -4*k - t*w = 2*w - 64. What is the smallest common multiple of k and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m - 20. Let o be u(8). Let a(i) = -4*i + 6. Is 11 a factor of a(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 626*k**2. Let j(h) = 2*h**2. Determine j(v(x)).\nAnswer: 783752*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-640)\/90 - -7) + 4\/(-18).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3246, -3261, -3272, -3273, -3258, -3221?\n\"Answer: d**3 - 4*d**2 - 10*d - 3233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -20461157891 and 0.02.\nAnswer: -20461157890.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7362)\/8470 + (-4)\/(-14). Let u be (-2)\/121 - (-1 - -1). Let o = v + u. Which is the closest to 0? (a) -0.3 (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1764323 to the power of 1\/2, to the nearest integer?\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3270*r - 2*r**2 + 3*r**2 - 564 - 3278*r + 2*r**2 + 6547*r to the form q + k*r**2 + d*r and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 15*m. Let u(y) = -18*y**2 - y - 79. Determine x(u(h)).\nAnswer: -270*h**2 - 15*h - 1185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -647, 1, 4, -4, -5, -2 in increasing order.\nAnswer: -647, -5, -4, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**6\/360 + 7*y**5\/120 + y**4\/24 - 2*y**3\/3 - 1. Let r(n) be the third derivative of s(n). Is r(6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 2916?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21345, -42671, -63997, -85323, -106649?\nAnswer: -127975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1857 + -10.8143. What is the second biggest value in -0.5, f, 5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*i - 28, -4*d + 3*i = 2*i - 91. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*b**2*d*q**2 + 87595*b**2*q**3*s**2 + 19*b*d*q**3 - 2*b*d - 3*b*q**3*s**2 + 1276*q**2*s + q*s + 2*s**2 wrt b.\nAnswer: 82*d*q**2 + 175190*q**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 7) to base 6\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.08 from -66225055544060.\nAnswer: -66225055544059.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*k + 14 = -2*z - 31*k, 0 = -4*z - 8*k - k + 24 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 749, 2730, 6027, 10640?\n\"Answer: 658*r**2 + 7*r + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqfu when four letters picked without replacement from faaqfu?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 10:58 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 126.4 + 39.6. Let l = d - 175.3. Let a = 9.2999886 + l. What is a rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0)**(-47))**(-29) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 279 = r, -377 = -2*m - 2*m - 3*r. Suppose u - 28 = -3*w + m, -2*u + 232 = 4*w. Calculate the highest common divisor of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328685.\nAnswer: 5, 7, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 0.052389630835679.\nAnswer: -0.047610369164321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-225)\/(-60))\/(-3) - (-3 + (-22)\/(-8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -25. Let p be 2\/(-12) + (-110)\/r. Let x = p + -5. Calculate the smallest common multiple of x and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -74*q**2 + 1079*q + 21. Calculate the remainder when t(14) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 10 + (2 - (6 - -4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -10*m + 30. Suppose -m*c + 7*c + 552 = 0. Let w = -173 - c. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.7 - 2.7. What is the second smallest value in -1\/5, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4674?\nAnswer: 2, 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70317?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2. Suppose j - 8 = -j. Suppose -2*c + j*u = u + 3, 2*c - 21 = -5*u. Let r(m) = -3*m**2 + 4*m**2 + c*m**2. What is r(l(k))?\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w - 3*w**5 + 7*w + (0*w**2 + w**3 + 0*w**2)*(-1 + 1 - w**2) + 2*w**5 + 2 - 2)*(0 + 1 + 1) - 24 + 31 + 5*w**5 - 18.\nAnswer: w**5 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28.9 - 34. Let c = 5 + m. Let j = 0.9 - c. What is the biggest value in j, -0.4, -4\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -8*k**3 - 7*k**2 - 6*k + 12. Let z(y) = 46*y**3 + 41*y**2 + 34*y - 71. Give 17*q(g) + 3*z(g).\nAnswer: 2*g**3 + 4*g**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 4 = -w - 15, 3*w + 6 = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z + 1. Let h(x) = -2*x**2 - 30*x - 24. Let b(s) = h(s) - 4*v(s). Suppose b(t) = 0. Calculate t.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 2. Let u be r(0). Let a be 2\/4*-1*-10. Suppose p + 3 = 4*n - 5, -5*n = a*p + 15. What is the nearest to n in -2, u, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -241, -928, -2053, -3610, -5593?\nAnswer: -7996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 92382001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 10*y - 42*y + 3300*y**2 + 5*y + 15*y.\nAnswer: 3300*y**2 - 12*y - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, -1, -0.008, -0.2 in decreasing order.\nAnswer: -0.008, -2\/21, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) 1\/7 (c) -50.328\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 19*h**2 + 1046*h - 17535. Determine i(16).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 133*b**2 + 6*b + b**3 + 136*b**2 - 263*b**2 in the form f + o*b**2 + l*b**3 + w*b and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.7 - 235.6460648.\nAnswer: -240.3460648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 9. What is the derivative of -1 + 5 + z - 6 - 9*s**3 wrt s?\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4 = -2*w, 4*s + 11 = 5*w - 12. Let v = 7 + -10. What is the least common multiple of w and ((-9)\/3)\/(-3) - v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 305 - 98 - 102 + 2*d**2 - 101 - 3*d - 3*d**2. Give q(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -33*s + 28*s + 2*c, -2*s + 2*c = -12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1088)\/4488*(-22)\/8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21097, -22211, -23325, -24439, -25553, -26667?\nAnswer: -27781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-63)\/(-14))\/((-2)\/(-4)). Factor -2*l**2 - 6*l - 6*l - q - l**2.\nAnswer: -3*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148124, -296325, -444526?\nAnswer: -592727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.6411239 and 165238.\nAnswer: 165238.6411239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 1 - (2 + 14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 28 in increasing order.\nAnswer: -5, -3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -163*t + 451. Let o(f) = -72*f + 225. What is 4*h(q) - 9*o(q)?\nAnswer: -4*q - 221","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2\/5 - 56*s\/5 + 12.\nAnswer: -4*(s - 1)*(s + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 348378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 96900 rounded to the nearest 1000?\nAnswer: 97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5*x - 55, -5*g - 3*x = -0*g + 15. Let l = 107\/18 + -6. Find the common denominator of (-429)\/10 - g\/15 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 164 - -190. Suppose 5*v = 7*q - 3*q + p, -214 = -3*v + 2*q. What are the prime factors of v?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 5*h - 12 - 31, q - 11 = -h. Let r be (-10)\/4 + (9 - h). Is r greater than 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 240 or 238?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, x: 5}. What is prob of picking 4 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1467318.56 to the nearest one thousand.\nAnswer: -1467000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 9) in base 8?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60557 and 3878602?\nAnswer: 1477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -53*l**2 - 2*l. Let s(d) be the second derivative of d**3\/6 + d - 3. What is s(h(j))?\nAnswer: -53*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -41965997.7 to the nearest 100000.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1802 and 6.\nAnswer: -10812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 21. Suppose -4*w + 16 + 0 = p. Suppose -w*k + 539 = 3*k. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 14. Suppose -q - 3*b = -0*b + 17, 3*q = b - 11. Let u = y - q. Calculate the least common multiple of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4381, 8754, 13109, 17434, 21717?\nAnswer: 25946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stts when four letters picked without replacement from sssttssssttsssssss.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/56 + 10\/42. Let m(q) be the third derivative of 0 + 0*q + 13\/60*q**5 + 0*q**4 - f*q**3 + 16*q**2. What is the derivative of m(p) wrt p?\nAnswer: 26*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2615 is divided by 97.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14487.13927 - -14480.04. Let g = 7.1 + x. What is g rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/6)*q\/q**5)\/(q\/q**(-1))**10)\/((q\/q**(1\/7))\/q**0)**(-5\/3) assuming q is positive.\nAnswer: q**(-941\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 802247 and 102?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*v + 9. Suppose v - 10 = -2*c. Let u(z) = c - 2*z + 2*z**2 - z**3 + 0*z + 3*z. Calculate u(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + s + 97, 3*n + 4*s = -0*n - 76. Let z be 148\/n - -2 - -4. Let i = 13 + -13.5. What is the third biggest value in i, z, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 1937 in descending order.\nAnswer: 1937, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 9:17 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -11*g - 3. Let j(d) = -d**2. Determine j(h(i)).\nAnswer: -121*i**2 - 66*i - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1829 or -1\/36?\nAnswer: 1829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -455630 take away -88886?\nAnswer: -366744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -1565*n - 14084. What is k(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3*x**2 + 2 + (3*x - 4*x + 0*x)*(-3*x + 3*x - 2*x)*(3 + 4 - 5) as c*x + a*x**2 + h and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3879502.\nAnswer: 2, 11, 17, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 12*v**2 - v + 17. Let m(k) = 7*k - 2. Let u be m(2). Let t be j(u). Find the first derivative of 2*r**2 + 7 - 2 - t*r**2 wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -11*h - 45*h - 35 + 58*h. What is v(10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16588 - 16550. What is the highest common factor of 8 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -264, -526, -788, -1050, -1312, -1574?\n\"Answer: -262*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24683694937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x. Let h(c) = c**2 + 1. Let r = 23 + -25. Let o be h(r). Let w(n) = o*n**2 + 2*n**2 - 5*n**2. Determine f(w(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -45.721 and 3.45.\nAnswer: -42.271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3\/4, 0.2, 1\/26, 3\/5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.27575 + -16.27575. Which is greater: -0.35 or v?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -723, -731, -745, -765, -791, -823?\n\"Answer: -3*v**2 + v - 721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 14422410?\nAnswer: -14422414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 - 45. Suppose z*o + 2*o = 2. Differentiate -2 + 23*i + o + 6 with respect to i.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 - 7. Let g(h) = h**2 - 3. Let w(t) = 7*g(t) - 3*j(t). Suppose 2*c = -0*c. Let p(i) = c*i - 9*i + 8*i. Give w(p(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/8*-43 - (-2)\/8 is divided by (1\/(-1))\/(2\/(-14)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times 3329\nAnswer: 299.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 43*f + 128. Give z(-46).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 73\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -42b1 (base 13) in base 9?\nAnswer: -13640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - r**2 - 1. Let q(h) = 7*h**4 + 5*h**3 - 5*h**2 - 6. Let c(a) = -q(a) + 5*u(a). Differentiate c(i) wrt i.\nAnswer: -28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 27249423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 7 = 3*l + 3*i, 0 = l - 2*i - 46 + 48 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -1 (c) -2 (d) 0.5 (e) 0.04 (f) 108761\/12 (g) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -394927*q + 1974635. Give j(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -6111 - 4993. Let t = r + 1133. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 42 + 10 = 0. Let a = s + 12. Let v be 14\/21*(-6)\/(-4). Solve 4*n + 5*m + a = -v, -5*m - 15 = 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 179, 180, 167, 128, 51, -76, -265?\n\"Answer: -2*s**3 + 5*s**2 + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 19\/2, 3\/2, -8\/5, -13 in descending order.\nAnswer: 19\/2, 5, 3\/2, -8\/5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3 = -k + 13, -4*l - 4 = -4*k. Suppose k*h = h + 36. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20dad (base 14) to base 15.\nAnswer: -18873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 969287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 227152214151390146\/119145 + -1906519066210. Let n = 22\/7943 + j. Let w = n + -206\/3. What is the common denominator of -89\/8 and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, t: 4, a: 2}. What is prob of picking 1 t and 1 a?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010002021 (base 3) to base 7.\nAnswer: 1456255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 6. Let j = -9 - u. Suppose -h - 39 = -37. Which is the nearest to 0? (a) h (b) 6\/11 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 5*y + 5*u, -35*u = 4*y - 36*u + 13 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/35)*f)\/f*f*f*f**(-1)*f**2*f**(5\/3)\/f assuming f is positive.\nAnswer: f**(496\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 76\/87*(-2)\/4. Let j be -520*(-4)\/(-1044) - -2. Let t = d - j. Find the common denominator of 52\/9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15184 and -4.8.\nAnswer: -72883.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 317 (base 8) to base 14\nAnswer: 10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j. Let f(y) = -33*y - 6247. Give v(f(g)).\nAnswer: 33*g + 6247","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((1\/7)\/(38\/(-133))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**2 + 5*g - 6. Let o be l(2). Let q be (-5 - -2)\/(6\/o). Sort 1\/3, -5, q in increasing order.\nAnswer: -5, 1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2575.602 - 2580.601966. Let x = 0.0824 - 5.0824. Let r = t - x. Round r to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120012210 + 11111?\nAnswer: 1120101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-1 - 0)*1143 + -2. Suppose 0 = -4*d - u + 911, 3 = -5*d - 2*u + l. Suppose 2*t - 5*t = -d. 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: Collect the terms in 1567*p**3 + 1942*p**3 - 379*p**3.\nAnswer: 3130*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.393427 to 2 dps.\nAnswer: 14.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**3 + 7*u - 14. Calculate the remainder when 226 is divided by v(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -47 and -0.0594.\nAnswer: -47.0594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 374996111639+0.129\nAnswer: 374996111639.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + m**2 - m - 5. Let r be a(0). Let o = -3 + 4. Sort -1, r, o in decreasing order.\nAnswer: o, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -72, -466, -1532, -3606, -7024, -12122, -19236, -28702?\n\"Answer: -56*g**3 - 2*g - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 7*h - 6. Let z = -16 + 18. What is the remainder when j(8) is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4150191?\nAnswer: 3, 101, 13697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 3\/5*g**5 + 3*g**2 + 0*g + 3*g**4 + 5*g**3 + 1. Factor f(h).\nAnswer: 3*h*(h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 30213270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*k + 2*k = 1140, -220 = -b + k. What is b rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/14*105\/570\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**3 + 34*f**2 + 35*f + 4. Let a(k) = 24*k**3 + 273*k**2 + 282*k + 33. Let l(r) = 4*a(r) - 33*n(r). Factor l(q).\nAnswer: -3*q*(q + 1)*(q + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21573213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 3*k + 14, 5*w + 102*k - 23 = 99*k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - 0 - 2) + -1. Suppose 4*a = -3*k + 27 + 26, f*k + 5*a = 49. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c385 - b?\nAnswer: -1c390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4218a (base 12) to base 16.\nAnswer: 1527a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/9 + 29\/12. Let s = 1009 - 7053\/7. Is j >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*h - h + h)*(7*h - 4*h - 2*h) + 4*h**2 - 4*h**2 - 5*h**2)*(0*h**3 + h**3 - 2*h**3).\nAnswer: 3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.15 - -0.15. What is the nearest to -0.3 in 3, y, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 7940221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 2, 4, -2810, 3 in decreasing order.\nAnswer: 4, 3, 2, -3, -4, -2810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 20, -0.07, 2\/19, 0.32, 2\/7?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 8 - (25 + -25).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 98\/8 - 1\/4. Suppose 99 - 294 = 5*b. Let s = 75 + b. Calculate the greatest common divisor of j and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -593.89 - -152.03. What is h rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -7*d - 2*j - 129, 0 = -2*d + 5*j - 105. Let p = 46 + d. Solve -p = y - 6 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, f: 2, x: 2, s: 2, q: 3, n: 6}. Give prob of sequence fqxn.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -181 times -2?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 10, -12*z = -8*z + 3*g - 50. Solve -3*u + 5*w = 29, 3*u - z = -4*w - w for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 8*s - 4. Let n be u(-7). Let o(j) be the third derivative of -j**6\/120 + j**5\/20 - j**4\/24 + j**3\/3 + 13*j**2. Calculate o(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43578 (base 16) in base 13?\nAnswer: 9871b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1835\/3 - -611. Which is the nearest to 1? (a) -5 (b) p (c) -169 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01559 rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, x: 3, d: 1, i: 1, a: 10, c: 1}. Give prob of picking 1 a, 1 d, and 1 c.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9528821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 58803346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -528 - -530. Let g(q) be the first derivative of -4*q - 3 - 3\/2*q**a. Find the first derivative of g(z) wrt z.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -308 divided by 154\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 32 + 1 = -g, 0 = -5*g - 5. What is the remainder when 366 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12551 (base 7) to base 10.\nAnswer: 3368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1306, 1\/4, -3, -1 in increasing order.\nAnswer: -1306, -3, -1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fvvottovftavtfvvev. What is prob of sequence vtev?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p + 1. Let o(d) = -4*d. Let v(a) = 6*o(a) - 5*t(a). Let x = -1 + 8. Let u be v(x). Solve 0 = 4*g - 3*i, 0 = u*g - i + 1 + 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 345 and 5.21?\nAnswer: 1797.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1527241335 to 5 decimal places.\nAnswer: 0.15272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72724 divided by -1093.\nAnswer: -72724\/1093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 17. What is d(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 + 650*b + 6497. Give f(-10).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**2 - 35686*o = 0?\nAnswer: 0, 17843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6880.31086 rounded to one dp?\nAnswer: -6880.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 1437.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q. Let l(w) be the second derivative of 17*w**4\/12 + 22*w. Determine l(h(o)).\nAnswer: 17*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6059 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -p - 1, -265 + 240 = -3*p + 4*q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.15 + 0.15. Let s = h - -8. What is the nearest to s in -0.3, -2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 6*p**2 - 2*p - 4. Let t be g(6). Let l = 19 + t. Solve -l = -b - 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -605657, -605671, -605685, -605699, -605713, -605727?\nAnswer: -605741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**3*t**3 + 4768*b**3*t**2 + b**2*t - b**2 - 96*b*t**3 wrt b?\nAnswer: -6*t**3 + 28608*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9427 equal to 9400?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*a = 20. Let r = 16238 + -16216. Solve -2*p - 3*p - 3*h = r, a = -3*p + 5*h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-20)\/(-16) + (-26)\/((-208)\/178270).\nAnswer: 5, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002215 rounded to four decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 - 1 + 2 + 4*g**3 + 4*g**2 as f*g**2 + w*g + l*g**3 + m and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 - 57 = 6*s - 126 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1202.75 - -1175.5858. Let z = -0.0358 + p. Round z to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366469084.\nAnswer: 2, 1019, 89909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 - 22783520*c**3 + 32443071757912*c**2 - 64886075165280*c + 32443026190884.\nAnswer: 4*(c - 2847939)**2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -868*d - 136. Determine v(-2).\nAnswer: 1600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 14*y - 74. Calculate f(9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 13.1 and 6\/107 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 8. Let d be o(9). Is d at least 3\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 369803120*i**2 + 347754974*i.\nAnswer: 739606240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + y + 1. Suppose 0 = k + 2*z - 5 - 2, 2*k + 21 = 3*z. List the prime factors of l(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 559 a factor of 1804333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117636138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvovkyfvy. What is prob of picking 1 o, 1 k, and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 21*a - 164. Let c be b(8). Suppose 15*r = c*r + 13530. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 h when two letters picked without replacement from {s: 6, h: 7}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, r: 2, k: 2, u: 4}. Give prob of sequence ku.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = -n. Let f be (13 - -3)\/n - -234. Let z = -103 + f. Is 27 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3688694\/11 < 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*y**4 - 88585*y**3 - 1359191*y - 2 wrt y?\nAnswer: -48*y**2 - 531510*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13 - 3\/6*-548. Calculate the highest common factor of f and 820.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 106220 to the nearest one thousand.\nAnswer: 106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 - -7. Let s be g\/14 - 6\/21. Let w be 1 - -1*(s + -1). Calculate the highest common factor of 16 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**3*(a**(-6)\/a*a)\/a)\/(a**(-9)\/(a**(19\/2)*a*a*a*a)) assuming a is positive.\nAnswer: a**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1423884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(-1\/15)*k**(-1\/2)*(k*k\/k**11)\/k**10)**9)**37 assuming k is positive.\nAnswer: k**(-58053\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/4*728\/(-273). Suppose -2*y - 3*v = -1 - 19, 4*y + v - g = 0. Solve 22 = -y*w + 5*x + 6, 3*w + 5 = 2*x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 10*n**3 - n**2 - 2*n - 1. Suppose s - 81 = -2*s. Suppose -s = -4*z - 7. Suppose -3*q - z = -2. Calculate g(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.49 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b - 14. Let k(m) = m + 5. Let a(g) = 11*k(g) + 4*u(g). Let s(i) = -3*i - 11 - 2 - 1 + 6. Give 6*a(d) - s(d).\nAnswer: -3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16382, 65446, 147252, 261800, 409090, 589122?\nAnswer: 801896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 1:57 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**2\/9 + 16*f - 670\/9 = 0.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -42 + (-35 - (-39 + -29))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 1311*g**6\/10 + 5*g**4\/6 - g**2 - 1912*g. Find the third derivative of v(p) wrt p.\nAnswer: 94392*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11526373 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*((sqrt(190) - (sqrt(190) - sqrt(190)*2)) + sqrt(190)) + 6*sqrt(190)*1)\/(1*1*sqrt(360) + sqrt(360) + sqrt(360) + sqrt(360))*6)**2.\nAnswer: 171\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2221501969 - 2.3\nAnswer: -2221501971.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 132 = 2*l. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -493389 divided by -4217?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -281 + 291. Suppose -q = -6*q + h. Let m = 2 + 3. Put 4, m, q, 0 in decreasing order.\nAnswer: m, 4, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 2*h - 268. Suppose -4*o = -3*o - 14. Calculate the remainder when h is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-32) + 3\/12.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2021124 litres in millilitres?\nAnswer: 202.1124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8725 + -8725. Factor 0*x**2 + v*x - 3\/4*x**4 - 3\/4*x**5 + 3\/2*x**3 + 0.\nAnswer: -3*x**3*(x - 1)*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 = 3*c + 164. Let m = 143 + c. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4390 + -21949\/5. Let y(a) be the second derivative of -d*a**2 + 4\/45*a**3 - 1\/90*a**4 + 19*a + 0. Factor y(w).\nAnswer: -2*(w - 3)*(w - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*8*4\/(-6). Let s = 41 - g. Let j = 6 + s. Solve 0 = 5*r + j - 11 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21042 and 668?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 18*c + 77. Let i be j(-4). What is m in -2\/3*m + 4\/3*m**3 + 0 + 0*m**4 - 2\/3*m**i + 0*m**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13691489.\nAnswer: 7, 127, 15401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -110962 to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -468*y - 858*y = -1682*y + 34888 for y.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 286285 - -15732. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2882*41749.\nAnswer: -12032.0618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434047 is divided by 152?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9856 and 768.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 68\/3 of a day?\nAnswer: 544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-552)\/690*(-385)\/(-2). Sort i, -4, 2 in increasing order.\nAnswer: i, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 - 2)*(-2*w + 4 - 4)*(27 - 28 + 35) in the form i*w + v and give i.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4921 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + a + 19 = 0, 0 = 66763*y - 66765*y - 3*a - 21 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -153 (b) -0.6 (c) -2\/13 (d) -6 (e) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 0, -4*j + 4*g + 3 = 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9685*f - 9713*f + 218 + 202 = 0. What is the remainder when 5635 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 31\/5 of a gram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 - 0.3. Let z = 4 + -4.4. What is the smallest value in z, v, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c5245 - -30?\nAnswer: -c5215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 426 a factor of 2090382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*sqrt(30)*-5)\/(sqrt(1050)\/sqrt(7) - sqrt(6)).\nAnswer: 2 + 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(448))**2*-1 - 6*(sqrt(448) + 0 + sqrt(448))**2)*4.\nAnswer: -44800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = v - 2. Let f(p) = 35*p**2 - 21*p - 1. Is f(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*k = -9*k + 19*k - 21451209. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -132.8 - -135.8. Which is the closest to -14? (a) -2\/9 (b) -15 (c) k (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 k, and 1 g when three letters picked without replacement from {k: 3, n: 1, g: 2, x: 6, b: 6}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8704777 to the nearest integer?\nAnswer: 2950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -67, -77, -99, -139, -203, -297, -427, -599?\n\"Answer: -p**3 - 3*p - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19012829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1955 by -23.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*u + 7600000. Round u to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20429775*o**2 + 131820*o + 20.\nAnswer: -5*(303*o - 2)*(13485*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nu when two letters picked without replacement from {n: 7, u: 3}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 3\/5 (c) -8 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -10878*m. Let n(r) = -12*r. What is n(a(f))?\nAnswer: 130536*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - (-7)\/((-14)\/8). Let d = 0.18 - 2.18. Let q = 7 + d. Which is the second smallest value? (a) q (b) -6 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 102*y - 677 - 79*y - 86*y + 672. Let r(u) = -188*u - 16. Calculate -16*a(s) + 5*r(s).\nAnswer: 68*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -1)\/(-4*18\/24). Suppose -c = 3*c - 40. Let h be (2 + -1)\/(c\/8). Is h > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 17. Let c = 6.7 + b. Let y be (-14)\/(-49) + (-40)\/91. What is the nearest to -1 in 1, c, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 68, 3, -29, -2 in increasing order.\nAnswer: -29, -2, 3, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*t - 69*t - 82*t - 72*t - 2*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 884300 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 3, s: 4, t: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425944497.\nAnswer: 3, 11, 389, 33181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5336894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -301 from 2.\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-5*sqrt(1008)*1 - (sqrt(1008) + 0 + -1)) + -6*(0 + sqrt(1008) + -2))**2 + 4 + -2.\nAnswer: -3744*sqrt(7) + 145326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -10*s**2 - 19 + 63*s + 10*s + 27 - 36. Calculate q(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + -1. What is the lowest common multiple of (-15)\/10 - v\/2 and 9\/(-3)*1\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 301*q**2 + 7*q + 5. Is b(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*u**2 + 4*u**2 + 3*u**2)*(1 - u**2 - 1 + (u + 0*u + 2*u)*(u + u - u)) to the form s*u**4 + o*u**3 + t*u**2 + p + d*u and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2177 is divided by 2168.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from uujujjjjuw?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -416 = -2*b - 2*s, 0*b - 2*s - 214 = -b. Is 579\/7 - -6*10\/b a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(8\/7 - 1). Let v(u) = 3*u - 3. Let g be v(2). Find the third derivative of -2*b**2 + t - 7 + 2*b**g wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 122, 122, 124?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*t - 60, 3*t = -3*n + 56 + 94. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 11*z + 23. Let t(y) = -9*y - 22. Let u(o) = -6*t(o) - 5*w(o). Give u(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100499241 + -1.\nAnswer: 100499240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2431b2 - -4b?\nAnswer: -243163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -812 - 12*u + 406 + 406.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*d + 0*d = -15, 9 = 3*w + 4*d. Let s be (-2)\/5*30\/(w - 6). Solve -s = 8*j - 7*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, d: 5, b: 5, a: 1, s: 4}. What is prob of picking 1 o, 1 d, 1 a, and 1 s?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 189, 443, 819, 1329, 1985, 2799?\nAnswer: 3783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18, -38, -70, -120, -194, -298, -438?\n\"Answer: -y**3 - 13*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -5, 5\/37, -4?\nAnswer: 5\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -467 + 471. What is the highest common factor of f and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/6 - 7*u**2\/3 - 16*u\/3 + 64\/3.\nAnswer: -(u - 2)*(u + 8)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12036449083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -114274, -228546, -342818, -457090, -571362, -685634?\n\"Answer: -114272*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3198*z + 9606*z - 3200*z - 3193*z.\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4145 is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 8 + 0 - 8 - 3*m**2 - 6 + 10*m. Differentiate g(n) wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(a - 5*a + 5*a) - 2*a - 3 + 3 - 2*a + 3 - 3 + 0*a + 3*a - a - 18*a + 2*a - 14*a + (-2 + 0 + 0)*(-1 + 1 + a) + 1 - 1 - a.\nAnswer: -37*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175)*2 + 5.\nAnswer: 5 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -69? (a) 0 (b) 4 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f*i*y - 2*f*i + 106*f*y - 5*f + 16847*i**3*y - 201 with respect to i.\nAnswer: 2*f*y - 2*f + 50541*i**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -8. Let r be 2\/g - 1243\/(-10). Let s = -124 + r. What is the common denominator of s and -67\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 15*r - 21. Determine t(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11012 or -13579?\nAnswer: 11012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 6544700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 3*q**3\/7 - 8*q**2\/7 - 33*q\/7 - 10\/7 = 0.\nAnswer: -2, -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -8*b - 32. What is t(0)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 30\/6*(-2)\/10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4583b (base 12) to base 13\nAnswer: -33302","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u - 2. Let r be m(2). Let q(j) = j**2 + j - 8. Let h be q(r). Let k(t) = 50*t + 4 - 44*t - h. Let x(z) = 2*z. What is x(k(c))?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*z - 19265 + 53312. What are the prime factors of z?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 139739374 or 139739363?\nAnswer: 139739374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 20460.\nAnswer: 20460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -258*0.15\nAnswer: -38.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2451, -2448, -2445, -2442, -2439, -2436?\n\"Answer: 3*c - 2454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*p - 14. Let c be (-4)\/((-240)\/(-205)) - p\/(-8). Is c <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.2, -4, 10\/23, 41, 1, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 5*a, 18*b - a = 13*b + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37560912 by 9390228.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 - -10.9. Let l = 12 - w. What is the smallest value in l, 2, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 705525 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 10:47 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10941630 is divided by 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 4*r + 1. Let j be p(-4). Solve m = 4*c, c - j = -2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*v = -45, -3*q + 5*v - 237 = -177. Let -36\/13*y + 142\/13*y**3 + 74\/13*y**4 + 0 + 22\/13*y**2 - 10\/13*y**q = 0. Calculate y.\nAnswer: -1, 0, 2\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/125 + -1986\/875. Suppose 0*c = 7*c. Let m be -3 + (2 - (1 - c)). Which is bigger: o or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13407 + 13405. What is the third smallest value in 10\/143, 0.4, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2936 divided by 1895?\nAnswer: 2936\/1895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((312\/3)\/26)\/(-7)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -135380 - 300120. Round o to the nearest 10000.\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1164*l - 1155*l = 144. What is the remainder when 41 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22280 rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*k = 32*k - 1088. Is -31\/2 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 bigger than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37436490 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*m - 44 = 0, -3*o + 5*m + 26 - 67 = 0. Let t be 2\/7 + 33\/7. Suppose t*w = -0*w + 55. Calculate the least common multiple of w and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52 + -46. Let k(r) be the second derivative of r**4\/12 + 5*r**3\/6 + 2*r**2 - 3*r. Let g be k(s). What is the greatest common divisor of g and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/(-80)*(-5)\/22*1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-five quarters of a gram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 8*q**4 + 3*q**2 + 13*q + 3. Let x(d) = 9*d**4 + 2*d**2 + 14*d + 2. Let i(f) = -4*k(f) + 6*x(f). Find the second derivative of i(h) wrt h.\nAnswer: 264*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -432\/5 - 29\/5*i**2 + 1\/5*i**3 - 48*i.\nAnswer: (i - 36)*(i + 3)*(i + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0836571 months to years.\nAnswer: 0.006971425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g. Let m(o) = 20*o**2 - 11*o**2 - 10*o**2. Give m(x(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2062919 and 636.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -280213 divided by -1.\nAnswer: 280213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36901*i - 36908*i + 73809*i + 6*i**3.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 127*s**3 - 5639*s - 7. Let l(x) = 42*x**3 - 1880*x - 2. Let t(a) = -14*l(a) + 4*w(a). What is the second derivative of t(q) wrt q?\nAnswer: -480*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2622 in -5, -3, -14, 1\/2, 0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 5*n + 45 = 0, 35*s - 32*s + 4*n + 1 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2408746 to the nearest integer?\nAnswer: 1552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 16) in base 12?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*-2.21986\nAnswer: -0.0443972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*m - 10*m + 20. Let r be (-1)\/m + 2071\/95. Let d(g) = -g**2 + 13*g - 14. Let s be d(9). Calculate the highest common divisor of r and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 1 - (-1 + 1) - (125 - 7 - 96)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-112)\/(-70))\/(-12 - 472\/(-40)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -274227 rounded to the nearest 1000?\nAnswer: -274000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, h: 15}. What is prob of picking 2 h?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -999850 divided by -199970?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {i: 5, o: 14, y: 1}.\nAnswer: 91\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gb when two letters picked without replacement from ggggbggbbbbbgbgbbggg?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 82205 divided by -401?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -419, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 548908 and 418375.\nAnswer: 3347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 - 6.4. Let z = 1 + q. Sort 1\/3, -2\/13, z in increasing order.\nAnswer: z, -2\/13, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21.4 + -12. Let b = -17 + 16.1. Let p = b + k. Round p to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 28*l - 152. Calculate n(20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 6:32 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 142\/2*(-5 + 16 - 34\/255*90)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/14 and 29\/1795678914.\nAnswer: 12569752398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*m = -11 + 7, -2*c - 4*m = -8. Suppose c*j - 3864 = -8*j. Does 23 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/7, 0, 6\/3011, 1\/4, 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 28 = 3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a. Let k(m) be the first derivative of -8*m**2 + 0*m**4 + 0*m**3 + 18 - 3\/10*m**5 + 0*m. Let b(i) be the second derivative of k(i). What is q(b(n))?\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, k: 6, e: 3}. Give prob of sequence ek.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 858, 1718, 2578, 3438?\nAnswer: 4298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 16\/3, 3\/2, -1\/4.\nAnswer: -1\/4, 0, 3\/2, 4, 16\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-15*(-4)\/40)\/(((-2793)\/(-70))\/19)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1322609 times 0.08\nAnswer: -105808.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4732555470 divided by 6.\nAnswer: 788759245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10261306?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -17*s + 979. Calculate m(57).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*h**2 + 2*h**2 - 4*h**2 - h**2 + 3*h - 3*h + (0*h + h - 4*h)*(23*h - 1040 + 1040).\nAnswer: -78*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in 0.1, -2\/23, -4\/7, -0.01, -1\/5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 6 + -8 - 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 517 = -3*r, 17*m - 13*m + 676 = 4*r. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -51817, -0.0294, -0.4, -4 in increasing order.\nAnswer: -51817, -4, -0.4, -0.0294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**3 - 23*v**3 - 3*v**3)*(3 + 1 - 6)*(-4 + 4 + 2).\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8878*w + 34752 = 8890*w. What is the highest common divisor of w and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 240*d + 978. Determine z(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**4*q**2 - 25*k**4 - 2*k*q - 330*q**2 wrt k?\nAnswer: 12*k**2*q**2 - 300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10581*b**2*p - b**2 - 938*b*p - b - 2*p wrt b?\nAnswer: -21162*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**3 - w**2 - 2*w + 5. Let y(m) = 0 - 3*m**2 + 9 + 2*m**3 + m**3 - 3*m + 0. Let t(o) = -5*c(o) + 3*y(o). Let j = 2 + -6. Determine t(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence on when two letters picked without replacement from {x: 3, c: 2, n: 4, g: 2, r: 2, o: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-7\/2))**45 assuming v is positive.\nAnswer: v**(405\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -62, -124, -186?\n\"Answer: -62*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/(-168))\/(7\/(-2) - -2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + x = 23060002, 0 = -31*l + 27*l - x - 46119998. Round l to the nearest 100000.\nAnswer: -11500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 2*y**2 + 43. List the prime factors of f(0).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11088319 rounded to the nearest one hundred thousand?\nAnswer: 11100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 6:55 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*i + 48. Find the common denominator of 6\/i*2*190\/165 and -49\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-1*(-5)\/(-5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**5\/2 + y**4 + 8*y**3 + 7*y**2 + 3*y\/2 = 0.\nAnswer: -1, -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 17. Let n = -0.16 + -5.84. Let u = n - w. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/5 + 162\/495. Let c be 24\/72 + (-1)\/3. Which is smaller: t or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/13653 + 969467\/354978. Find the common denominator of l and 24\/5.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.1 + 3. Let m = -0.5 - v. Let s = -13.4 + 14.4. What is the nearest to s in 0.1, -1\/2, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, j: 5, w: 1, y: 3, g: 2}. What is prob of sequence yyg?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of u**5\/24 - 25*u**4\/16 + 35*u**3\/6 - 69*u**2 + 185. Let x(b) be the second derivative of f(b). Suppose x(r) = 0. Calculate r.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -28.280062.\nAnswer: -11.3120248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-7)*j)\/j**(1\/4)*(j*j**(-7))\/j**6*j**7*(j**1*j)\/j*((j\/((j\/j**(-3))\/j))\/j)\/j**(-1) assuming j is positive.\nAnswer: j**(-41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0*r + 18. Let f be 1 + 0 - r\/(-18). Is 1\/4 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.198 rounded to 2 decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**1)**36\/((k\/((k*(k*k**(1\/5)*k)\/k*k)\/k*k)*k*k)\/(k**(-2)*k)) assuming k is positive.\nAnswer: k**(356\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7179 is divided by 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 z when three letters picked without replacement from nnnznznn?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*o*s*u + o*s - 15*o*u + 2*o + 2*s*u + 1964*s + 4*u - 27 wrt u?\nAnswer: 15*o*s - 15*o + 2*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**3\/7 + 3268*n**2\/7 + 266082*n\/7 - 269352\/7 = 0.\nAnswer: -1548, -87, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -371, -368, -363, -356, -347?\n\"Answer: w**2 - 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-27392)\/29104)\/(3\/(-51))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from unnn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*t + 4*t + 3*t)*((3 - 1 - 1)*(-6 + 1 + 3) - 6 + 6 + 8) + t + 0*t - 4*t)*(t - t + 2*t).\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22918 - 5189. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 70\/(-21)*(-12)\/(-10). Let i = -11719 + 11716. Sort l, 300, i.\nAnswer: l, i, 300","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v\/(v**(-3)\/v))**(-30))**(-48) assuming v is positive.\nAnswer: v**10080","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15259, -15258, -15257, -15256, -15255, -15254?\nAnswer: -15253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -366 or -29029\/79?\nAnswer: -29029\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10019*p**3 - 8141*p**2 wrt p.\nAnswer: -60114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6350 (base 7) to base 9.\nAnswer: -3058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of u**3\/3 + 19*u**2\/2 - 67*u - 73. Let r be x(-23). Calculate the greatest common factor of r and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-16)*66\/99)\/(27\/36)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -15*u + 4. Let r(y) = -16*y - 13. Let v(g) = -3. Let m(i) = -r(i) + 6*v(i). What is 5*k(x) + 4*m(x)?\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.5 (b) 6\/17 (c) -3 (d) 3804 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 1767\nAnswer: 1\/589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is b452 (base 12) in base 11?\nAnswer: 13840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -983*m**3 + 965*m**2?\nAnswer: -5898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/75*9*2*30\/(-24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-4)\/(d\/d**7)*(d\/d**1)**(7\/5) assuming d is positive.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.64 - 0.94. Let u be 2\/(16\/(-22)) - -2. What is the smallest value in r, -4, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, h: 2, e: 3}. Give prob of picking 1 h and 1 e.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + (-3)\/(-9))*18\/15. Let z(n) = 7*n**2 + 48*n - 3. What is the units digit of z(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/420324 and 58\/3603.\nAnswer: 504809124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -78 - -104 - (3 + -2 + 3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*y - 215*y = -78 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3642.2638 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -519*a**5 - 214*a - 5 + 110*a + 118*a - 162*a**5 wrt a?\nAnswer: -13620*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - h = 6. Let y(q) = -4 + 4*q + 3 + h. Give y(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.5 - 2. Let n = -0.3 + u. Let r = -5 + 4. What is the second smallest value in r, -2, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 - 4 + (-2 + 1 + 0)*(-2 + 3 - 3))*(-25 - 32 - 61)*(0 + 0 - 2*i) to the form h + c*i and give c.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwbbqbwby. Give prob of sequence bwqb.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8463047.3 and -2.\nAnswer: 8463045.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 70*m**2 - 5*m - 10. Suppose -3*d + 2*l + 7 = -63, -5*d - 4*l + 80 = 0. Suppose -d = -9*r - 56. Let t be b(r). Round t to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = n + n. Let j be 3\/(n - (-32)\/28). Suppose -w + j = -140. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 4. Let l be c(-4). Suppose 4*n + n - 10 = l. Suppose k - 111 = -n*k. Calculate the remainder when k is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/3 + 15\/9. Let m(h) be the third derivative of h**2 + 0*h**3 + 0 + 1\/12*h**4 + 0*h. What is m(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/10 in 3, 1, -2\/11, 2\/7, 0.0666?\nAnswer: 0.0666","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89698 at least as big as 6\/671?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 503142.1 centuries in years?\nAnswer: 50314210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7. Let t(j) = j - 22. Give 7*r(u) + 2*t(u).\nAnswer: 2*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -0.9, -0.17, -2?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1559.58 + 1581. Let o = -0.42 + b. Let w = o - 21.09. Round w to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(80)*-3)**2 - (1 + 0 + sqrt(80)).\nAnswer: -100*sqrt(5) + 735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -12 + (0 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**4\/4 - 2*l**3\/3 - 55*l**2 + 2*l - 129. Find the second derivative of c(m) wrt m.\nAnswer: -6*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142539248741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -2*g + 40. Suppose 0 = v - 1 - g. Let o(t) = 6*t**4 + 2*t**2 - 7*t + 6. Let j(b) = b**4 - b + 1. Let h(i) = v*j(i) - 3*o(i). Factor h(c).\nAnswer: 3*(c - 1)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 3*s - 1. Let p be u(4). Let d be (-21)\/(-2*p\/6). Let l(y) = -y**3 + 23*y**2 + 7*y - 139. Let m be l(23). Which is smaller: m or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/9*-9*1. Suppose j = m + 2*m. Solve 0 = -0*s - m*s + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**6\/540 - r**5\/135 + 7*r**2. Factor z(h).\nAnswer: -2*h**2*(h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*a + 37, -1048*i + 1051*i + 18 = a. Factor 13\/3*l**2 - 7\/3 + 8\/3*l - 2\/3*l**a.\nAnswer: -(l - 7)*(l + 1)*(2*l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26.1, 0.4, -0.4 in increasing order.\nAnswer: -26.1, -0.4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 878851 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2142762 by -59.\nAnswer: -36318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + 3*k**2 - 5*k**2)*(0*k - 3*k + 5*k) + (0*k + 0*k + 3*k**2)*(21 + 16*k - 21).\nAnswer: 50*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102326, -409464, -921418, -1638200, -2559822, -3686296, -5017634, -6553848?\nAnswer: -8294950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 15. Let z = -144 + 149. Let w(t) = 12*t - z*t - t**2 + 2 + 2*t**3 - 10*t. What is w(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176794 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116262 and 378.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86 + 82. Let g = 5 - 2. Sort a, g, 0 in decreasing order.\nAnswer: g, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, f: 2, z: 1}. Give prob of sequence zjfj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u - 14. What is b(-12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 + g**2 + 6*g**2 + 769*g.\nAnswer: 3*g**2 + 769*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -12. What is the least common multiple of (5 - 3) + (1 - p) and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 7*l**2 - l + 6. Let r be i(7). Let v(b) = 19*b + 1. Let y be v(1). Let p be 75\/y + r\/(-4). Solve p*t + 4 = 5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 82*l**3 - 5*l**2 - 5*l - 5. Let f(q) = -9430*q**3 + 574*q**2 + 574*q + 574. Determine 5*f(i) + 574*t(i).\nAnswer: -82*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 31.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1875*s**2 + 279166800*s - 10391213629632.\nAnswer: -3*(25*s - 1861112)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*q - 8 = -4*v, 3*q - 2 = 2*v. Let a(y) = -1 - 3*y**v - 4*y**2 + 2*y**2. Determine a(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r + 12 = -74 - 4 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17922429.63ns in weeks?\nAnswer: 0.000000029633646875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/24*(-42)\/28\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*1829514.\nAnswer: 38419794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 660376016 - 2?\nAnswer: 660376014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 14*b**2 + 77*b + 6. Let q(v) = -9*v**2 - 51*v - 4. Let y(z) = 5*m(z) + 8*q(z). Calculate the remainder when y(-11) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z**4 + 4*z**4 + 12*z**3 + 3*z**3 + z**2 + 2*z + 2 to the form a + u*z**3 + y*z**2 + f*z + h*z**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 12 = h. Let y be 9 - 9 - (h + (-39)\/(-3)). Calculate the remainder when 6\/(-33) - 486\/y is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 20 = 4*v, -v = -4*a - 9 - 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -390264*f**5 + 110760*f.\nAnswer: -7805280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1348 divide 5395795968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-180)*20*40\/2*(-132)\/100\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x - x + 4*x + 2*x**2 + 23*x**4 + 5 - 17*x**4 in the form j*x + q*x**3 + l*x**4 + y*x**2 + u and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5 + 24*m + 11 - 14. Is 16 a factor of j(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*x - 16 = 0. Suppose 0 = -x*p + 26 + 54. Factor 0*z**2 - 8*z - 20*z**3 + 2 + p*z**2 - 2*z**5 - 2*z + 10*z**4.\nAnswer: -2*(z - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(((-2)\/(-6))\/(29\/(-87))). Determine x so that 4\/13*x**2 - 2\/13 - 2\/13*x**4 + o*x + 0*x**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4.2 (b) -6 (c) 1.908 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 6*j**2 + 2*j - 1. Let z be d(1). Let u = 39 - z. What is the remainder when u is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-84)*(13924\/(-177) - -74)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -4238703?\nAnswer: -21193515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (63\/(-14) + 5)*96. Suppose -570 = 2*m - 4*u, 0 = 2*m + 47*u - h*u + 555. Is m greater than -275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - d - 310 = -3*v, 4*v + 3*d - 1240 = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23833, -23891, -23949?\n\"Answer: -58*q - 23775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -577206, -577206, -577214, -577236, -577278, -577346, -577446, -577584?\nAnswer: -577766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.26 - 9.74. Let b = h - 1. Let s = -8 - b. Sort 4, 0, s.\nAnswer: 0, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 7:16 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**3 - 465*q**2 + 2 - 461*q**2 + 924*q**2 + 6*q - 5*q**4 in the form d*q**3 + m*q + h + f*q**4 + g*q**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + 2 + sqrt(171) + (1 + sqrt(171) - sqrt(171))*-2 + -1))**2.\nAnswer: 216*sqrt(19) + 6192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -103 - -144. What is the remainder when 121 is divided by h?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01770886 to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1828, 362, 2552, 4742?\n\"Answer: 2190*y - 4018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 11*y - 8*y + 2*z, -z = y - 41. Let x = y - 24. Let q be (4\/(-8) + 0)*x. Is -12 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(8\/(-10))\/(6\/15). Suppose o*x - x = 78. Let z = x - 25. Let f(a) = 8*a**3 - a**2 + a. Determine f(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-l + l - 2*l) - 2*l + 13*l + 15*l.\nAnswer: 30*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 34 = -10*u. Calculate the common denominator of (-8)\/(-16)*(-282)\/(-62) - u and 27\/10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 8*k**2 - 8*k - 2. Let f be b(-7). Let o(q) = q - 4. Let w be o(7). Let z = 73 - 71. Solve 0 = f*c - 4*g - w, -3*g = -z - 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 21*n**2 + 23*n - 4. Determine d(20).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1469*h**3 - 1225*h**3 - 3520*h**3 - 264*h**2 + 264*h**2 + 2 as z*h**3 + g + k*h**2 + c*h and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 92*g**2 - 2098*g - 362. What is k(-51)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50557 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2617973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/15 + 1)\/(7\/(-42))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.4085782 to 1 dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uquhhuhhuh. What is prob of picking 1 q and 3 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 6*f - 195 + 38. Let x = -18 + 32. Calculate the remainder when f is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 8*o**2 - o + 2. Suppose -60 = -12*n + 24. Let f be u(n). Let l = 108 - f. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*3*6\/234. Let u = 8109 + -105415\/13. Factor -z*y**2 - 4\/13*y**3 + 0*y + 0 - u*y**4.\nAnswer: -2*y**2*(y + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, p: 2, e: 1}. What is prob of sequence npe?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + m. Let j = -20 - -14. Let a(h) = 5*h**2 - 8*h + 6. Let b(x) = j*n(x) - a(x). Let r be (2 - (5 + -21))*5\/(-15). Give b(r).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/1 - ((-7 - 2) + 16). Solve 10 = -g*k - 8*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73886?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*f - 142. Solve -25 = 5*l, 5*s + 4*l = 2*s - f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -185867, -371736, -557605, -743474, -929343?\n\"Answer: -185869*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*q = -3*q. Solve 6*s + 2*s + 8 = q for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 + 19. Let c = v + 13. Suppose 0 = -34*b + 22*b + 156. What is the fourth smallest value in b, c, 2, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*o - 102*o + 43*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-360)\/(-420))\/((-9)\/(-672)*-4)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*z + 31*z + 65 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and -11380870 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378252.\nAnswer: 2, 3, 7, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 365*f**2 + 274*f**2 + 144*f**2 to the form m + r*f**2 + t*f and give r.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -194485 divided by 2005\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 2*q + 5 + 7, 60*r + 14*q + 135 = 11*q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1013, -5, -1 in ascending order.\nAnswer: -5, -1, 0, 1013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 5. Suppose 2 = -2*k - 0, -u - y*k + 2 = 0. Suppose -704 = -u*i - 2*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/3 - (-5)\/(-6))*-8. Suppose -o*i - 5*b - 24 = 8, 0 = 5*i + 3*b + 27. Sort -5, i, 3, 2 in ascending order.\nAnswer: -5, i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41811180 and 35?\nAnswer: 292678260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, p: 7}. Give prob of sequence kp.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*l - 51 = -3*p, -2*p + 34 = 3*l. Suppose 2*i = 1 + p. Suppose -3 = m - 2*m. Calculate the smallest common multiple of i and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5662*n + 5656*n + 12*n**2 - 11318*n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 114, 235, 358, 483, 610, 739, 870?\n\"Answer: s**2 + 118*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4 + 3 + 3*c + 3*c - c. Let i be x(2). Find the third derivative of -12*h**3 - 20*h**2 + 13*h**3 - i*h**3 + 5*h**2 wrt h.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000020492 to seven dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 85 = -1193. Is 71 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17dd8 (base 16) to base 15.\nAnswer: -1de6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o**3 + 15*o**2 + 21*o - 175. Let g(m) = -2*m**3 - 7*m**2 - 11*m + 81. What is -6*b(n) - 13*g(n)?\nAnswer: 2*n**3 + n**2 + 17*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -295 + 289. Let n be -2 + ((-14)\/21)\/(j\/45). Let k(q) = 10*q + 4. Let z(r) = 5*r + 2. What is n*k(o) - 5*z(o)?\nAnswer: 5*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*s - 2*s + 3 = 0, -5*j + 5 = -3*s. Let y(p) = -p**3 + 2*p - 1. Let o be y(j). Let x = 159 - 158. Solve 2*f = -3*q - 11, -5*f + x - 6 = o for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1 + sqrt(720) - sqrt(720)) - sqrt(720))**2.\nAnswer: 120*sqrt(5) + 745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 52080 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 + 403 - 4*y**2 + 40 + 268.\nAnswer: -y**2 + 711","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226029.3*0.3.\nAnswer: 67808.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - 26. Let y = 37 - o. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155365901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1930247 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 b when four letters picked without replacement from {b: 5, e: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*n + 139*n - 114*n + 151*n.\nAnswer: 336*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 9. Let i be g(-1). Let h be (-7 - (-44)\/i)*2\/(-1). Let u(x) = 7*x**2 + 3*x + 4. Is 8 a factor of u(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 7617?\nAnswer: -4\/7617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60175 + 99726. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7812 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/50060 and -39\/125150.\nAnswer: 250300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9828 by -1404.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvsvvvsvssvvsv.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*k - 13 + 3, -20 = -2*k - 5*t. Suppose 0 = -s + k*h + 10, -s + 0*s = -2*h - 4. Put s, -1, 2 in increasing order.\nAnswer: -1, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 0 + j**3 + 3 + 409*j - 407*j - 15*j**2 in the form r*j + d*j**3 + o + p*j**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 5:09 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010111011011000 (base 2) in base 11?\nAnswer: -306a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(304)*-1*-3 - sqrt(304)) - ((sqrt(304) - (-5 + (sqrt(304) - sqrt(304)*-2))) + 4 + sqrt(304)*-1))**2.\nAnswer: 72*sqrt(19) + 385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2954 + 11579\/4. Let l = -59 - z. Find d such that 1\/4*d**3 + 0 + 0*d - l*d**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 132275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in -2\/5, 0, 3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 7*o**2 - 5*o - 21. Let g be i(-6). Let h = 265 - g. Solve 2*b = 4*v - 10, 3*b - h*b = 5*v + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -10. Suppose 0 = h - 4*h - 21. Let l = 10 + h. Solve -4*j = r*f, 4*f + 5*j = l*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 1272 = -3*h, 0 = -0*i - 2*i - 3*h + 507. Let b = i - 135. What is the highest common divisor of b and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1430, 2450, 3510, 4610?\n\"Answer: 20*s**2 + 960*s + 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10181 - -20842. Suppose -5*g = -2*h + j, -3*h + g + 21015 - 5043 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - 3*x**2 - 3*x**5)*(-1 + 4 - 4) - 5*x**5 - 2*x**5 + 0*x**5.\nAnswer: -4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pddx when four letters picked without replacement from {x: 2, d: 2, p: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3*l\/l**(-6\/11))\/(l**(-4\/9)*l**(-1\/15)*l) assuming l is positive.\nAnswer: l**(2008\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318032500?\nAnswer: 2, 5, 23, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u**3 - 2*u**2 - 4*u - 5. Let f(b) = -3*b**3 - 2*b**2 - 3*b - 4. Suppose 493*o + 927 + 1045 = 0. What is o*t(q) + 5*f(q)?\nAnswer: q**3 - 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 12*i + i)*(i**3 - i**3 + 2*i**3) + i**4 - 3*i**3 + 3*i**3 - 368*i**2 + 368*i**2 - 46*i**4 - i**4 - i**4 + 0*i**4.\nAnswer: -61*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 52*l**2 + 98*l - 92. Calculate r(50).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - 2 + w - 4*w - 3*w - 4*w + 4 - 4 + 2*w + (2 - 1 + 0)*(-6*w + 5*w + 0*w) + 0*w - 3*w + 5*w + 3*w - 6*w + 4*w + w - 1 + 1 as m*w + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2, -106 = 2*h + 3*h + o. Let r be 6\/h + (-120)\/(-28). Suppose 212 - 20 = r*l. Calculate the remainder when 143 is divided by l.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(105\/66)*5. Let u = 23 + j. Solve 24 = 5*h - u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276130 rounded to the nearest 10000?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 y, and 2 m when four letters picked without replacement from {k: 4, y: 2, x: 2, j: 8, m: 3}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5 = -0*l. Suppose l = -d + 35. Suppose 0*q - 5*q = -d. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/14 - (-18)\/63. Suppose -4*g = -8, -n - 3*g + 30 = -y*n. Calculate the highest common divisor of n and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**5 + 3*m**4 - m**3 + 5*m**2 + 5*m + 5. Let y(f) = -3*f**5 - 4*f**4 + f**3 - 6*f**2 - 6*f - 6. Let w(j) = -6*n(j) - 5*y(j). What is x in w(x) = 0?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -24, -27?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57)\/(-3) - (14\/21 - (-27776)\/1512)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*z + 3*z**2 - 224 + 254 + 10*z.\nAnswer: 3*(z + 2)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*((0 + o + 0)*(0*o**2 + 2*o**2 - o**2) - 2*o**3 - 2*o**2 + 2*o**2) + 2*o**3 - 2*o**3 + o**3 + (0*o + 0*o + o**3)*(-5 + 3 - 7).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1393560 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-19))\/2 + ((-280)\/475)\/(-2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32\/155 + -6\/31. Let d = -20.4 - 2.6. Let g = d + 23.5. Which is the nearest to 1\/5? (a) k (b) 0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9589\/(-2676))\/(((-8)\/(-4))\/(-4))?\nAnswer: 43\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36381344 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.618 + -12.5. Let t = q - 0.088. Which is the fourth biggest value? (a) t (b) -4 (c) 1\/6 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153335 to the power of 1\/2, to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 87411664 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: Expand 4 - 4 - 5*o + (-3*o + 5*o - 4*o)*(2 - 5 + 0) + (5 - 4 + 0)*(3*o + 2*o - 3*o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2012 = 26*v - 2064 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - x + 74. Let k be b(-9). Suppose 3*f - 5*d = 4*f - 206, -k*d = 4*f - 842. What are the prime factors of f?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - -101762543?\nAnswer: 101762531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/3723 in -26, 4.8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 394.6 + -13.6. Let b = z - 380.114. Let x = b + -0.8. What is x rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 40749 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34215\/52 - -658. Let o(l) = 7*l**2 - l**2 + 5 - 7*l**2. Let f be o(2). Is k > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1758797 is divided by 1758760.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1835 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -15*h - 76. Let a be y(-5). What is the common denominator of (-4)\/6*a*(-210)\/8 and (-2)\/7 + 285\/(-56)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + p - 3. Let j(a) = -a**3 - 15*a**2 + 35*a + 12. Let h be 201\/(-12) - 4\/16. Let s be j(h). What is q(s)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(0 + -1 - 1). Let s be (34\/4)\/(m\/(-4) + 0). Suppose -3*v = -4*j + 148, 0 = j - v + 15 - 53. What is the highest common divisor of j and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -9. Let y be (3\/3)\/(s\/1). Is y > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/40)\/(x**(-9\/4)*x*x))\/(x\/x**(-1\/13))**4 assuming x is positive.\nAnswer: x**(-2123\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(3 + (-4)\/1). Suppose -3*l + w*l + 13097 = -2*f, 17465 = 4*l - 5*f. Suppose -4*q + l = 5*s + q, q = 3*s - 2603. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00084 rounded to five decimal places?\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -48 + (-42 - -74) + (-39 - -1 - 1).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -49 + -8*(-3)\/6. Let d = -44 - x. Let a(s) = s + 1. Let t(f) = 3*f. Let w(j) = -j**3 - 4*j**2 + 4*j - 7. Let m be w(-5). Give d*t(z) + m*a(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5843*m + 2. Let y(k) = 2*k. Determine y(q(g)).\nAnswer: 11686*g + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5135 divided by -74893\nAnswer: -395\/5761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/72 - (-13)\/6. Suppose -3*o = -i - 43, y*i = 4*o + i - 56. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 758 = 755 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 3*m**4\/4 + 164*m. Let x(r) = 18*r**2. Calculate x(d(c)).\nAnswer: 1458*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27864*w**6 - 13728*w**6 - 129*w**2 - 13782*w**6 wrt w.\nAnswer: 42480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -10, 3, -1702, -2, 2, -7 in descending order.\nAnswer: 3, 2, -2, -4, -7, -10, -1702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 0, -3, -0.45238, 8, 0.03?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2835797, 2835795, 2835793, 2835791, 2835789?\nAnswer: 2835787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 6*w**2 + 1. Let q(b) = -4551*b. What is q(x(z))?\nAnswer: -27306*z**2 - 4551","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15303 (base 7) to base 5.\nAnswer: -114031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -19, -0.4, -139424 in decreasing order.\nAnswer: 3, -0.4, -19, -139424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/5 + 39*q\/5 + 144\/5.\nAnswer: -3*(q - 16)*(q + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvpgvggpggepvg. What is prob of sequence gg?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -361000 to the nearest ten thousand.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-75)\/30 - (-3)\/(-2). Let h be (i + (-11)\/(-2))*26. Calculate the greatest common divisor of h and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {j: 2, c: 1, w: 1, p: 1, s: 3, i: 5}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 9:16 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 1:04 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -3*i**2 - i - 2. What is k(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*z + 1040 = 64*z - 3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 - -64. Let s be (1 - (-5)\/(-3))*3. What is the remainder when (-26 - 1)*(-3 - s) is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(363) + -1*1*sqrt(363)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16534 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 140710000 rounded to the nearest 1000000?\nAnswer: 141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**3 + 14*z**2 + 5*z + 5. Let r(f) = -f**3 - 3*f**2 - f - 1. Let o(d) = 11*r(d) + 2*y(d). Let h be o(-5). Sort 8, h, -2.\nAnswer: -2, h, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 2*i**2 + 0*i**2)*(0*i + 3*i - 4*i) + (2*i + 4*i - 3*i)*(0*i**2 + i**2 - 3*i**2).\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 - -0.8. Let q be 1*(2 + 5)*-6. Let n be (1 - -2) + q\/18. Which is the second biggest value? (a) -2 (b) l (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + p - m - 32, -5*p = -2*m - 34. Let l be 4\/((-1)\/(1\/(-2))). Let v(g) = 8*g**2 + 0 + 4 + 5*g - 4*g**l - 5*g**2. What is v(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 226855009 - -1?\nAnswer: 226855010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -14*(-3 - 2\/((-4)\/(-81))) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/2 of a century?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/15)*f**(1\/5))\/(f**(-11)\/f**(-6)) assuming f is positive.\nAnswer: f**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, 5, -2, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 11:06 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 0*g + 0*g - 6*g + 3*g. What is p(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + q + 2 + 4*q)*(-3 - 1 + 3) - q + 5*q + 0*q to r + b*q and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = 3*n + j + 14, -2*n + 2*j - 12 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 206 (b) -1\/4 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -204*m**3 + 316*m**2 + 3*m - 3. Let r(p) = 405*p**3 - 633*p**2 - 5*p + 5. Let h(a) = -5*k(a) - 3*r(a). What is the third derivative of h(l) wrt l?\nAnswer: -1170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -245*a**4\/12 - 17*a**3\/3 + 3*a**2 - 22. Let c be g(-4). Calculate the highest common divisor of 18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 3.7. Let r be 2\/4*6\/(-3). Let c be r\/(-2)*(-32)\/(-4). What is the closest to -0.1 in -1, h, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2824\/(-4942)*1\/(92\/14)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 13*t**2. Let p(k) be the first derivative of -4*k**3 + 343. Determine -3*m(i) - 4*p(i).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -165\/3236384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 506417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1837, -3674, -5511, -7348, -9185, -11022?\nAnswer: -12859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 8:17 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -433\nAnswer: -2598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4488946921 a multiple of 3423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 is divided by 218?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfux when four letters picked without replacement from xfxffufxu?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -185 + 324. Suppose -5*j = 3*c + p + 102, -c = -2*j + 95. Let v = c - -129. What is v rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 10:15 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/(-12))\/((760\/(-114))\/(-20))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3 = 4*b + 5, 0 = -5*s + 2*b + 58. What is the second derivative of 4*l + 10*l**3 - 3*l + 7*l**3 + s*l wrt l?\nAnswer: 102*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109609 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n - 5. Let m be d(-5). Let i be (-8)\/7*56\/(-16). Suppose -12 = -i*x + m*x. Let w(b) = 2*b - 2. Determine w(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 6*s**2 + 6*s - 4. Let g be a(5). Sort g, 0, -4 in decreasing order.\nAnswer: g, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.6 + -3.1. Which is the third smallest value? (a) -1\/10 (b) 0.2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-39) - 111\/(-39). Suppose 0 = -o*t - 0 - 3. Which is smaller: -3\/7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence puz when three letters picked without replacement from uufxuqzpuuxxx.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 9*u - 27. Suppose -4*p = -5*j - u*p + 55, 34 = 4*j + 2*p. Suppose 11*h - 10 = j*h. Solve 0 = -h*t - 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 870 + 1080 = 15*s. Suppose 131*v - 139 = s*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 583 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -9. Let q be (-1)\/((u\/(-8))\/((-255)\/20)). Suppose w + 67 = 2*d, -4*w = 4*d - 7*w - 133. Calculate the greatest common factor of q and d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - -36. Let m be (b\/6)\/((-3)\/(-4)). Let o be (-12)\/(-5) + m\/(-25). Solve -o*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.1 (c) -4 (d) 123\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -44368 - -100?\nAnswer: -44268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 196181038?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**8\/336 + n**5\/60 - 5*n**2\/2 - 4*n. Let q(p) be the first derivative of h(p). What is the third derivative of q(d) wrt d?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-64320)\/(-651776))\/(6\/(-16))\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 - 48*p + 1. Let j be g(-24). Is ((-9)\/(-36))\/(j\/1756) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44189\/5598 + -3\/622. Find the common denominator of 80\/21 and q.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 2. Which is the nearest to 0? (a) -4 (b) g (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z. Let l(a) be the first derivative of 3 + 1\/12*a**4 - a + 0*a**2 + 0*a**3. Let w(h) be the first derivative of l(h). Calculate t(w(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, f: 1, p: 3}. Give prob of sequence kpfp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 2:33 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 2. Let k be 16\/y*(-6)\/(-52). Which is the second smallest value? (a) -0.1 (b) k (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98502?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 101*b - 99*b + 0 - 65*b**2)*(-b**2 - 3*b**2 + 2*b**2).\nAnswer: 130*b**4 - 4*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*n - 714*n - 258*n - 7 + 9.\nAnswer: -762*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -157.5 + 158. Let p = -0.3 - 2.7. Put 2, p, f in decreasing order.\nAnswer: 2, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -0.3, 3.7204215 in increasing order.\nAnswer: -0.3, -1\/8, 3.7204215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6371537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1271610 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11249455\/6 or -1874908?\nAnswer: -1874908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8315 and -0.164.\nAnswer: 0.136366","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -9060 + 9213. What is the highest common factor of i and 252?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87655 is divided by 12521.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1731360496 to 5 decimal places.\nAnswer: 0.17314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000131 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11200222 (base 3) to base 8\nAnswer: 6544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4\/2 - 15*r**3 + 36*r**2.\nAnswer: -3*r**2*(r - 2)*(r + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -92\/31 - -2467\/403. Let i = -2848\/123 - -61\/41. Find the common denominator of i and q.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*j - 1464 = -159*j + 286*z, -j + 4*z = 14 for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-434)\/(-24955))\/((-3)\/22275). Are j and -128 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, n: 1, z: 1, d: 2, t: 1, y: 2}. What is prob of picking 2 s and 1 n?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.459 - -53.841. Let m = 0.08 + 39.92. Let c = i - m. What is c rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 g when two letters picked without replacement from {l: 2, k: 1, u: 8, y: 1, g: 2}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 207, 333, 459, 585, 711?\nAnswer: 837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 198 and 594315.\nAnswer: 13074930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1697221562?\nAnswer: 2, 7673, 110597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -2628\nAnswer: -1\/2628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 2*z - 192, -2*a + 6*a + z - 164 = 0. Let l be (-5 + 6)\/(4\/a). Let r be (-3)\/(103\/(-50) - -2). What is the highest common factor of l and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 7*t**3 - 3*t**2 - 26*t**2 + 31*t**2 + 6*t**3 to the form m*t**3 + w*t**2 + i*t + v and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -185*i + 19971. Calculate p(108).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1626371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.32 from -0.07204.\nAnswer: -0.39204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 16*f**2 + 2*f - 20. What is the hundreds digit of s(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (-78)\/(-24) + (-11)\/(-4). Suppose -p = -0*p - 29. Suppose -c + p = -n. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**2 - 57*r. Let q be l(14). Let v be (11 - -1)\/((-2)\/(-11)). Let m = v - q. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 64963207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3392 - -1125. Let q = -2240.01 - j. What is q rounded to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + s**2 + 8*s - 4. What is the units digit of x(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 42, 64, 86, 102, 106, 92?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 + 40 - 3*i**2 - 81 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*z + 4*g, -4*g = 2*z - z - 25. Let j = -2 + 3. Suppose z*u - j = 14. Solve 0 = 2*a - 2*d + 14, u*d + 5 = -3*a + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1526520616 + 5?\nAnswer: 1526520624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14121 + -11014387\/780. Find the common denominator of 25\/8 and n.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-32)\/24)\/(1\/(-18)). Let m be 3 + -3 + -3 + 127. Suppose 5*g - m = -n. Does 20 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-14)\/(-126))\/((-1)\/(-6)))\/(128\/(-12)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 5\/2*c**2 - c - 1\/3*c**4 + 0 - 1\/2*c**3 + 1\/20*c**5. Let k be f(5). Solve 7*y = 4*y - k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.52 and -2021196437.\nAnswer: -2021196437.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (100\/15)\/10 - 20\/(-6). Let w = 371 - 222. Suppose 3*n + 3*c - w = c, -p*c + 16 = 0. Calculate the remainder when n is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -2a6a?\nAnswer: -2a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 2*s**2 + 8*s - 9. Let u be 2\/(-4)*(0 - 18\/3). What is the lowest common multiple of i(u) and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-44)\/(-8 + 7) + (0 - -3) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 6*c**2 - 2 - 3.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 711 is divided by 150.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 38381*q**4 - 76766*q**4 + 38378*q**4 + 0 - 1 - 15*q - 9*q**2 in the form x*q**3 + a*q**2 + i + w*q**4 + n*q and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -18. Let x = t - 7. Find q, given that 1\/3 + 0*q - 1\/3*q**x = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*1*(3 - 1). Let j = 0 + k. Suppose -5*x - j + 44 = 0. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 458715*y + 17923 - 2*y**2 - 458715*y.\nAnswer: -2*y**2 + 17923","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*u = 203*u - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1326.4068 rounded to 0 decimal places?\nAnswer: -1326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -37, -32, -27, -22?\n\"Answer: 5*d - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 235*f - 240.\nAnswer: 5*(f - 48)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*j + 580 = 0, -2*p + 0*p = j - 588. Suppose -107 = 4*i + p. Let b = i + 176. Is b a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/9 and -74\/87.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9504 take away -5?\nAnswer: 9509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*k**3*v**2 - 70*k**3*v - 13*k**2*v**2 + 146*k**2*v - 2 wrt k.\nAnswer: -54*v**2 - 420*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/6 and 56\/1865?\nAnswer: 11190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*l - 55 = -73*l. Solve -21 = -l*x - 1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (33\/11 - (-13)\/(-5))\/(16\/(-80)). Sort 0, -5, v, 16, -4 in descending order.\nAnswer: 16, 0, v, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95387 and 8716598?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 338\/43 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7501 from 215.7.\nAnswer: -7285.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1406324 is divided by 48468?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -1125, -9 in decreasing order.\nAnswer: -3, -5, -9, -1125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 162654.19844 rounded to zero dps?\nAnswer: 162654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 + 4*i**2 - 8*i**2 + 3*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*v**4 - 264 - 3*v**5 - 10592*v**2 - 123*v**3 + 10802*v**2 + 252*v - 80*v**4 = 0. What is v?\nAnswer: -22, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11150 - 11102.036. Let i = -48 + h. Round i to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-5)*-2*-5. Let i be ((-3)\/2 + 0)*c. Suppose i*s = 4*s + 125. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilogram in milligrams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -383*b + 73*b = 2480 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than 9067?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -32*b**2. Let l(t) = -t**2. Determine k(d) + 24*l(d).\nAnswer: -56*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1917 - -903. Suppose 14*i + i = f. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -134.73 - -134.83. Which is the fourth biggest value? (a) -28.8 (b) g (c) 0.4 (d) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 0*y + 28 + 6*y**3 - 7\/6*y**6 + 0*y**4 + 0*y**2 + 0*y**5. Find the third derivative of o(u) wrt u.\nAnswer: -420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 71.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 1\/75*i**6 - 2\/25*i**5 + 0 - 4\/15*i**3 - 19*i + 1\/5*i**4 + 1\/5*i**2. Factor s(v).\nAnswer: 2*(v - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i - 3. Let r(s) = -2*s**2 + 96*s + 27. Let o(y) = -49*y - 13. Let a(d) = 5*o(d) + 2*r(d). Let f be a(-13). Calculate h(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-90)\/75)\/(-7 - -3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 35090451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1716802 + -1716803.399993. Let s = 2.6 - 1.2. Let b = s + n. Round b to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.04, 2\/2399, 42.5?\nAnswer: 42.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -395, -781, -1159, -1523, -1867, -2185?\nAnswer: -2471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 6:21 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8137296.\nAnswer: 2, 3, 56509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607 is divided by 0 + ((-24)\/(-2))\/((-9)\/(-12))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 258 and 9677752.\nAnswer: 29033256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -11*v - 100. Determine b(31).\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6e2c3 (base 15) to base 12\nAnswer: -14b5a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*-9973128.\nAnswer: -498656.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 58060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/4)\/i**48)\/(i**(2\/43)*i**19) assuming i is positive.\nAnswer: i**(-11575\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**3 + 3*x**2 - 2*x + 1. Determine q(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1608*s - 12 = -1610*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-576)\/30*3\/9*-10. Calculate the greatest common divisor of p and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*1.7.\nAnswer: -8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 12*z**2 - 3*z + 26. What is the remainder when g(-12) is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**7\/14 - b**6 - 12*b**5\/5 + 63*b**4\/2 + 513*b**3\/2 + 810*b**2 + 1296*b. Factor a(x).\nAnswer: -3*(x - 4)*(x + 3)**3*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(4*v**2 - 4*v**2 + v**2) + (144 - 30*v - 144)*(-6*v + 23*v + 2*v).\nAnswer: -569*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291411 = -370*k + 327*k. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9756 and 24390?\nAnswer: 48780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 1.8 (b) -0.1 (c) 5\/4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + t**2 - 2*t + 3. Let k be m(-2). Solve 2*o + 4*v + 0 = -2, -o = -k*v - 14 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/9 and 8\/654861.\nAnswer: 1964583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6.6529 and -7175.49?\nAnswer: 7182.1429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.4, 0.005, 0.14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-510)\/(-4))\/(-5))\/(2418\/(-16120)). What is the highest common divisor of 2490 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 s when two letters picked without replacement from {h: 1, t: 1, m: 4, s: 6, b: 2, o: 4}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -57? (a) 1\/10 (b) -7 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 15. What is the second biggest value in p, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 5:13 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -630407 (base 12) in base 15?\nAnswer: -20ae8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -617\/126733 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -70 or -8.49834?\nAnswer: -8.49834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16043 - 8088. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = d + 12, 0*r + 3*r - 48 = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 3*c**2 + 2. Give g(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -232595*r**2 - r**3 + 232595*r**2 + 3*r**4 - r to t*r**3 + i*r + x*r**2 + j*r**4 + d and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-7)\/63*(4 + (1 - 5)). Sort 0.59, 5, 0.3, -0.3, f in increasing order.\nAnswer: -0.3, f, 0.3, 0.59, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 8 - 8 - 21*p - p**2 - 90*p**2. Let r(x) = 9*x**2 + 2*x. Let f(d) = -21*r(d) - 2*t(d). Let u(m) = m. Give u(f(s)).\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3511 times -0.1?\nAnswer: -351.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*(sqrt(1584) - (sqrt(1584) - (4 + sqrt(1584) + 3))**2) + 1.\nAnswer: -120*sqrt(11) + 491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1143333, -1143341, -1143349?\nAnswer: -1143357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**2. Let s(r) = 6*r**2 + 5*r - 5. Let a(f) = 9*f**2 + 7*f - 7. Let u(o) = 5*a(o) - 7*s(o). Calculate z(u(w)).\nAnswer: 36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.26751 + -0.06751. Let f = -482 - -1913\/4. Which is the nearest to 0.1? (a) 0.3 (b) z (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9098257097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 0*s**2 + 1 - 2*s**2 - s)*(s**2 + 19*s**2 - 61*s**2).\nAnswer: 82*s**4 - 41*s**3 - 41*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, v: 4}. What is prob of sequence ss?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.15061289 - 0.1505. What is h rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**4\/12 - k**3\/3 - 6*k**2 + 5*k - 9. Let l(i) be the first derivative of y(i). Is l(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1461 - 334. Let y = -1795.001598 - r. What is y rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**3 - 3*h**2 - h - 1. Let f be ((6\/(-5))\/3)\/((-35)\/1225). Suppose -5*y - f = 2*t, -2*y = t - 3 + 9. Calculate l(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c. Suppose 0 = i + 1 - 3. Let v(u) = -4*u**2 - 2*u**2 + 2*u**i. Determine v(g(j)).\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 540 - 224. Let w = 561 + n. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 116*n - 156*n - 183*n + (2 - 2 - 3)*(0 - 2*n + 0 + (-1 - 2*n + 1)*(-4 + 0 + 6) + 3*n - n - 6*n).\nAnswer: -193*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -1 + -2 - -26. Let f = u + -35. Suppose -3*v + 35 - 10 = -2*p, -2 = -2*v. Is f less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -8*u**2 + 35. Let w(d) = -698*d. What is w(o(h))?\nAnswer: 5584*h**2 - 24430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1010*g**3*o + 46175854*g**3 + 86*g**2*o wrt o?\nAnswer: 1010*g**3 + 86*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4088 = 6*r - 706. Let c = r - -122. List the prime factors of c.\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*g**3 + 2*g + 5*g**3 - 28*g**3 - 2*g**2 - 2 + 81*g**3 + 2*g**4 to the form k*g + c*g**2 + r*g**4 + x + f*g**3 and give f.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/19)*w)\/w*w*w**7)\/(w**(-3\/4)*w\/w**(-6))*(w\/(w**(-2)*w)*(w\/(w*w**(-1\/3)\/w)*w*w*w*w)\/w)\/(w**3*w**6) assuming w is positive.\nAnswer: w**(-185\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 202, 1\/411?\nAnswer: 1\/411","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -59\/168 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 25 - 20. Suppose 2*r + 3*v + 6 = r, -12 = -d*r - v. Solve -2*y - 1 - 3 = -3*n, -r*y = 15 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/42 and 125\/54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10\/97 - 5241\/970. Find the common denominator of -17\/83 and n.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 44*g - 9 = 45*g - 1, 0 = 31*g for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 127 = -2*u, 8*u - 221 = 4*u + 5*b. Let a = u - 11. Is 24 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*x - 2*p - 3692, p + 14810 = 4*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 11. Let l = 13 - 23. Let b be f(l). Let v = 7 + b. Solve -14 = -4*j - 2*u, -v + 0 = -3*j - u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a**2 - 11*a + 12. Calculate m(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -3) + (2 - 3) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24124510507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/21718255 not equal to 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 343\/(-42) + 9 - (8 + -3 + -5).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1605*o = 97556 - 4466 for o.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k + 56 = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-122 - 9) + 61 + -38 + -2?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (13 - 23 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 4*z + 3. Let r be i(-4). Let w(x) = -89999*x - 3. Let v be w(r). Round v to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -408*k**2 - 402*k**3 + 2534*k**3 - 30*k**2 + 1172*k**3 wrt k.\nAnswer: 19824","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = s - 6. Let x(c) = -411*c - 406. Let b be x(-1). Solve 4*z - 7 + s = -4*d, -b*d + 5 = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (648\/60)\/(1\/(-5)). Let j = x + 72. Suppose -376 = -6*a + 3*a + f, 0 = 4*a - 2*f - 500. What is the highest common factor of a and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 10. Let p = 3853 - 3850. Give i(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (16 + -7 - (-1 - -12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - ((-3 + 5)\/(-2) + 0). What is the second smallest value in 4\/7, 11, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 26 = -4*v, -3*d = v - 1 - 3. Suppose -d*i = -15 - 3. Suppose 10 - i = a. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, m: 1, h: 1}. Give prob of sequence hs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + (2 - (-39 - -9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 7, -22, -71, -146, -253, -398, -587?\nAnswer: -826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + m + 1. Let b be o(3). Let s(k) = 3*k - 7. Let d be s(b). Let c = -22 + d. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + u**2 - 2*u + 22. Let j be b(3). Sort -11, j, 2.\nAnswer: -11, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, d: 2, u: 7}. Give prob of picking 2 u and 2 d.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -50, -1\/8?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -194, -460, -812, -1292, -1942, -2804, -3920, -5332?\n\"Answer: -7*i**3 - i**2 - 214*i + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - 39. Suppose 3*r = -f + 3, -w*r - 23 = -5*f - 8. Suppose -2*o + m - 3 = 0, -2*o + 4*m = -r*m + 12. Sort 5, 1, o in decreasing order.\nAnswer: 5, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 980, 1006, 1062, 1160, 1312, 1530?\nAnswer: 1826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -57*p + 5. Let z be l(-1). Suppose 8 = -3*x + z. Let a be 9\/(x\/(-4)) + 1. Let m(h) = 7*h - 6. Let c(u) = -u + 1. Calculate a*m(t) - 6*c(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -7. Let s be (t - 1)*30\/4. Solve 0*c - s = 5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 2 - ((-14)\/(-2) - 14).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - -5. What is the units digit of (l\/(-10) - 0)\/(85\/(-8075))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (364\/104)\/(7\/6). Solve -3*h - i*s = 3 + 15, 12 = -3*h + 3*s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*m + 3)*(8*m**2 - 6*m**2 + 3*m**2) + (-6*m - 9*m + m)*(5*m**2 - 3*m**2 - m**2) + (4*m - 5*m + 2*m)*(5*m**2 + m**2 - 4*m**2).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 103*14\/490. Let k be ((-2)\/4)\/((-2)\/4). Does t = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15259 less than or equal to 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2908 divided by -77961.\nAnswer: -2908\/77961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -12*g**3 - 6*g**2 + 6*g - 1. Let d(w) = 11*w**3 + 5*w**2 - 5*w + 1. Let l(v) = -4*d(v) - 3*i(v). Let c be l(1). Is c < -15\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.013155 - 0.013. What is m rounded to five decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aca when three letters picked without replacement from {a: 5, c: 4, y: 6}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6 (b) -3\/41 (c) -0.7 (d) -1\/2 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26a - 1?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1044110004 + -23?\nAnswer: -1044110032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + y**4 - 2*y**3 - y + 4*y - y - 4*y to h*y**4 + z + r*y**2 + n*y + x*y**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(6\/254) + 137\/(2466\/(-24))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 - 19*r + 13. Let w be m(-10). What are the prime factors of -2 + (w\/3 - -406)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.895 - 20.895. Let o = -23 + 42. Let m = -39\/2 + o. Sort 0.1, y, m, 3 in decreasing order.\nAnswer: 3, 0.1, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(36\/(-8)) - (-106618)\/18 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -2. What is the units digit of -2 + n\/(2\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 15766.466?\nAnswer: 15766.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2*g + 22 = 0, 2*w + 3*g + 0*g - 5 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (0 - (-3 - -2) - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 + 75. Let j be (d + 1)\/(-2) - -3. Is -14 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**4\/24 - o**3\/3 + 2*o**2. Give u(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1884161 - 56161. Round y to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6441833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 485*j**2 - 33*j + 87. Suppose k - 4*r - 10 = -6*r, -3*k + 2*r + 22 = 0. Is q(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 56, -10, 48?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 119333033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*g + s - 356 = 0, 5*s + 1951 = g + 1943 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 5:51 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 1. Let g be p(-4). Let j be (-2 - -3)\/(1\/g). Is (0 + j)*(-9 + 4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 3:00 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*o - 33*o + 30*o - 32*o.\nAnswer: -83*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-3 - -1 - (-24 - -23))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-6) - 1\/3. Let k = 1\/16 + -101\/80. Which is bigger: k or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/189)\/(23 - (-8000)\/(-350))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-20))**(-15)*j*(j**24\/j)\/j*j**(-26) assuming j is positive.\nAnswer: j**297","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/4 - 5\/(-10). Let d = -3 + f. Suppose -d*h - 2 = -h. Sort 1, h, -3 in decreasing order.\nAnswer: 1, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*m**2 - 90*m**2 - 2*m + m to c*m + i + j*m**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 4. Let c(p) = p + 6. Let z be c(-5). Let l be (-2 - (-9)\/6)\/1*6. Sort z, l, g in ascending order.\nAnswer: l, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((14\/(-126))\/(15\/(-9)))\/(6\/(-20))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -45710 divided by 6530?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 9:20 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/20)\/((-6)\/45)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11103000230 + 1?\nAnswer: 11103000231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 + 25. Let i = -29 - v. Calculate the highest common divisor of i and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404314633?\nAnswer: 47, 8602439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1266099 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -220, -2304, -8468, -20914, -41844, -73460, -117964, -177558?\n\"Answer: -367*v**3 + 162*v**2 - v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83906, -84286, -84666, -85046?\nAnswer: -85426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3795)\/10)\/11)\/((-18)\/60*(-60)\/(-36))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-2\/15)\/d*d)\/d**20*((d*(d*(d*d**(-3)*d)\/d)\/d)\/d)**(-32) assuming d is positive.\nAnswer: d**(688\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -756*l**3 - 688*l**2.\nAnswer: -4536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14720 or 14725?\nAnswer: 14725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 309281 by 2737.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -92637943\/182 - -508996. Let l = 4\/91 + u. Let s = 54713\/10 - 5466. Find the common denominator of s and l.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, 223, 524, 825, 1126?\nAnswer: 1427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a - 5. Let w be d(-9). Suppose -8 = -w*v + 4*l, 5*v + l = -12 - 8. Let x = v + 11. Calculate the highest common divisor of x and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + h. Let j(x) = 2*x**3 - 15*x**2 - x + 20. Let k(d) = -j(d) - 3*s(d). Let m be k(-15). Solve 4*r + 16 + m = 5*g, 5*r - 4*g + 28 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125215 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2 + 18*c + 4. Let d be x(-11). Let a(j) = -169 + d + 16*j. Let y(p) = 3*p**2. Calculate a(y(l)).\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2)\/((1360\/300)\/(-68)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 429\/4, -2\/31, -0.17, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 142\/1087, -5, -0.5 in ascending order.\nAnswer: -5, -0.5, 142\/1087, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.522 + 225.\nAnswer: 223.478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**3 - 303*x**2 + 155*x - 610. Give g(151).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10 - 19)\/((-1)\/12). Suppose -2*l - z = 2*l. Let t = 36 + l. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - t + 12. Let n be g(0). Let l = n + -6. Let s be l\/(3\/(-2) - -3). Let d(z) = z**2 - 3*z + 2. What is d(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -298?\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 15, 71, 0, 2.\nAnswer: -4, 0, 2, 15, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 8 + 22 = 0. Let h(k) = -9*k + 4*k - k + 9 + 4*k + 6*k**2 - k**3. Give h(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11100 + 18444. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -148 - 150 + 10522*v + 298 + (3 - 1 - 3)*(v + 0 + 0) - 2*v + 4*v - 3*v.\nAnswer: 10520*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -526205?\nAnswer: -526205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-21 - (-33)\/22*8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olaaaaoaiai. What is prob of picking 1 i and 1 l?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5))\/(-10*(-4)\/50)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-16)*(-428)\/(-642)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 29*m**2 - 97*m - 27. Let r be n(-32). Which is the third biggest value? (a) 0.12 (b) r (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i - 21*i**2 + 4*i**2 - 436*i**3 - 10*i**2 + 876*i**3 - 441*i**3 - 2 to v + p*i + g*i**3 + r*i**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 373406 = 2*g, -6*g = -3*g - 3*h - 560085. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)\/(1*sqrt(9)))\/(sqrt(864)*2).\nAnswer: sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**6\/120 + 2*x**5\/15 - x**4\/3 + 2*x**3 - x**2. Let v be m(-9). Let g be 3 - (v - (-2 + 7)). Solve 4 = -g*h + h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, a: 3, u: 4, t: 4}. What is prob of picking 1 a and 2 z?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-9) - 47\/33. Let y = 35\/22 + g. Let k = -1.8 + 1.8. Which is the nearest to y? (a) -0.2 (b) k (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(68))*6.\nAnswer: -12*sqrt(17) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 19*d**2 - d + 29. What is the lowest common multiple of j(-19) and 1?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3263793.81 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (1 + 2)\/(-3). Is y\/(2 - 3)*127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 2*f - 20 = -4*w, 5*w - 2*f = 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112906, 225591, 338276, 450961, 563646, 676331?\nAnswer: 789016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 225*n - 4. Let m(w) = -56*w + 1. Let l(c) = -26*m(c) - 6*q(c). Let d(z) = z**2. What is d(l(g))?\nAnswer: 11236*g**2 - 424*g + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 24 = -4*q. Let t = q - -17. Suppose 5*b = b - d + 3555, t*b - 4*d - 4449 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -79*l + 1 - 81*l - 7*l + 1. Let q be k(6). Round q to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -12 - 8. Let u = q + -2. Suppose 4*v + i = -3*i + 4, -3*i - 9 = -u*v. What is the smallest common multiple of v and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 8*v + 22. Let z be n(-10). Let o be 70\/z + -4 + -1 + 4. Calculate the highest common divisor of 68 and o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/363893541 and -74\/363893541.\nAnswer: 363893541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 6:42 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0199 + 0.01929. What is u rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5981 is divided by 153.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(1\/17)*t*t*(t\/(t\/(t**(-2\/31)\/t)))\/t)\/(t**10)**(-15) assuming t is positive.\nAnswer: t**(79512\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90 + -107.9. Round w to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1233 divided by -24733\nAnswer: 1233\/24733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(2299)*-2*-4 + 3.\nAnswer: -352*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21698.4177s to days.\nAnswer: 0.25113909375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 2 + -8 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1260)\/(-27)*11\/(550\/(-90))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2775, 5386, 7833, 10116, 12235?\nAnswer: 14190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnpnnpnppnnppp. What is prob of picking 2 n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(-399))\/((-6447)\/(-441))*-2.\nAnswer: 2\/307","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11520835?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -15, -2\/13, 6, -0.028?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 + 42. Let n = -0.108 - 73.892. Let c = 73 + n. What is the third biggest value in 1, c, 0.5, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (66\/(-12))\/((-1)\/(-6)). Let s be q\/(-12) + 3\/(-4). Let -2*a**3 - 2*a**2 - 2*a**s - 1 + a**3 + a**2 - 3*a = 0. What is a?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**1)\/w)**2\/(w**(2\/5)*w)**25 assuming w is positive.\nAnswer: w**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -0.08 (c) -1 (d) -612 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 11010 = 3*v, -55100 = -5*n - 263*v + 258*v. What is the highest common factor of 63 and n?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 2. Let w(t) = -t**2 - 2*t + 3. Let q(i) = 3*w(i) - 4*y(i). Let g be q(2). Let o = 3 - g. What is the remainder when 47 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - -13. Suppose 2*y - 80 = -3*y. Let p = y - -4. What is the lowest common multiple of i and p?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3165 - 25.4.\nAnswer: -24.0835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 192108251.3 rounded to the nearest 1000?\nAnswer: 192108000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*u - 9. Suppose -u*p = -0*p - 390. Suppose 0 = 2*n - 0*n - p. Calculate the greatest common factor of n and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4351596829?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*((-2)\/4 + (-36)\/(-8)). Sort 1, -5, s, -1 in descending order.\nAnswer: 1, -1, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31.37 - -1.23. Let j = -10.1 + l. What is j rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 1\/12*q**4 + 2\/3*q**3 + 2*q**2 + 9*q + 0. Factor l(a).\nAnswer: (a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 187 divided by -53770\nAnswer: -187\/53770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**3 + 3 - 490*i - 3 + 383*i + 277*i to j*i**2 + g + c*i + l*i**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 28, 68, 124?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 96 = 100 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + 4*(sqrt(121) + 1*sqrt(121)))\/sqrt(11).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*d - 231359, -2*d + 88426 + 27251 = -5*l. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.11943425 rounded to four decimal places?\nAnswer: 1.1194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -11 - (18 - (2 - 12))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/16*0)\/2. Let o be ((-1)\/2 + 0\/(-3))*-10. Suppose o*p + 2*f - 19 = 0, 3*p - 1 = 3*f + 2. Solve q + c - p = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of 0*q + 1\/6*q**4 + 0 + 34\/3*q**3 - 1\/30*q**6 - 126*q**2 - 17\/15*q**5. Factor y(s).\nAnswer: -4*(s - 1)*(s + 1)*(s + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 3*b**2 - 9*b + 5. Calculate the smallest common multiple of v(5) and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = t + 656. Let k = t + -107. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-2) + (0 - -1). Suppose 3*l - 3 = w, -51 + 8 = -4*f + 5*l. What is the remainder when f is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -101.581 + 102. Let z = 0.019 - o. Let w = -3303\/14 - -236. Sort -1, z, w in decreasing order.\nAnswer: w, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 39*h + 57. Let s(t) = 10*t + 14. Let l(c) = -5*i(c) + 21*s(c). Let k = 56 - 50. List the prime factors of l(k).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -51 plus 1.048?\nAnswer: -49.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmuxyyumumyuuyu. Give prob of sequence uu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - w = -6 - 5, 5*r + w + 5 = 0. Let n be -15*r*(-2)\/(-12). Suppose 4*c - n*f = 6, -2*c - f = c - 14. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/5 - 69*h**2 + 29928*h\/5 - 29584\/5.\nAnswer: (h - 172)**2*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3392*c**3 - 6082*c**2 + 122952337*c?\nAnswer: 20352*c - 12164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/3 + 2*s**3 - 20*s**2\/3 - 8*s + 64\/3.\nAnswer: (s - 2)**2*(s + 2)*(s + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6149955289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 356364198 a multiple of 4517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 61, 1, 2, -6, -42, 4 in increasing order.\nAnswer: -42, -6, 1, 2, 4, 5, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -9 + -5 + -1 + 3 + -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -629 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6)**(-46) assuming z is positive.\nAnswer: z**(-276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 14. Let b(m) = -20*m**4 - 40*m**2 - 40*m + 10. Let s(j) = -j**2 - j. Let a(k) = v*b(k) - 40*s(k). What is the first derivative of a(n) wrt n?\nAnswer: -80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5410*s + 11*s**2 - 5411*s + 10821*s + 16*s**2.\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/9)*y*y**11*y)\/(y**11\/(y*(y\/(y*y*y\/(y\/(y*y*y**(-4\/19)))))\/y*y*y)) assuming y is positive.\nAnswer: y**(283\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m**2 - 270*m + 2382. Give f(11).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 19 + 73. Is 1842 + 2 + 6 + d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4*(1*sqrt(30)\/(sqrt(4)\/sqrt(2)))\/(5*(sqrt(3) - sqrt(12))*-5))**2.\nAnswer: 16*sqrt(5)\/25 + 516\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 16*q**3 - 13*q. Let z(a) = -592*a**3 + 480*a. Let b(y) = -112*r(y) - 3*z(y). Find the second derivative of b(t) wrt t.\nAnswer: -96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 35 + 13 + 101 + 1674*b**2 - 38.\nAnswer: 1674*b**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**7\/84 - o**6\/20 - 3*o**5\/40 - o**4\/24 - 6*o. Determine r so that s(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -2*h**4 - 28*h**3\/3 - h - 20. Find the second derivative of u(o) wrt o.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 14, -12151, -0.1, -0.2 in decreasing order.\nAnswer: 14, 2, -0.1, -0.2, -12151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1491 = 36*i - 7251. Let c = i + -119. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8099219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 871 divide 1915329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1627\/2 + -838. Let k = l + 24. Put k, 0, -1\/3 in descending order.\nAnswer: 0, -1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13918449.\nAnswer: 3, 4639483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 + 67. Suppose f - u = -5*y, 5*y + 0*y - 5*f = 0. Solve -4*x = 5*a + 23, a + 1 = 4*a - y*x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a451 (base 12) to base 15.\nAnswer: 2c28d","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Do 2\/445 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(-3 - 1 - 151*r**2 + 6*r + 152*r**2).\nAnswer: r**2 + 6*r - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/3 (b) -2\/5 (c) 5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 m, and 1 a when three letters picked without replacement from maiarr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(19) + sqrt(304) + -2)**2 - ((5*(sqrt(114) - 2*sqrt(114)))\/sqrt(6))**2.\nAnswer: -20*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, q: 2, n: 4}. What is prob of sequence qn?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*y**3 + 52 - 52.\nAnswer: 17*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 305 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -2 (c) 1.5103 (d) 474\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 110.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*j + 25. Suppose 2*c + c - 33 = 0. Calculate the least common multiple of j and c.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -z, 4*x = 2*x + 2*z. Let u be -1 + (-35)\/190*-6. Which is smaller: u or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, 0.3, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 3187?\nAnswer: 3183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1602 - -1613.864. Let m = g + -12. Let s = -85.736 - m. What is s rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 31069480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 2:34 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(1 + 5\/(-2)). Let t(i) = i**2 + 2*i - 4. Let y(q) = 2*q**2 + 5*q - 7. Suppose 192*g + 155 = 223*g. Let p(v) = g*t(v) + n*y(v). What is p(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-4 + 1 - -6) - 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 17*j - 10*j + 5*j)*(1 + 4 - 4).\nAnswer: 12*j + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i + 3. Let k(y) = -1. Let q(p) = -p - 2. Let d(a) = -k(a) + q(a). Calculate 2*b(l) + 6*d(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.75 + 9.15. Let o = p - 15. What is o rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 4*k - y + 4, 29*k + 5*y = 105 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 23\/3, 0.1, -4, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -422*j + 6. Determine v(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12.3 and -1454.23.\nAnswer: 17887.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.0665 - -5922593\nAnswer: 5922593.0665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 2325053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1586 divided by 79151.\nAnswer: -1586\/79151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3800, -18168, -32536, -46904?\nAnswer: -61272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l - 46. Let d be (198\/10)\/1 + (-3)\/(-15). Let f be h(d). Suppose -8*x = -f*x + 6720000. What is x rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 355.84km in micrometers?\nAnswer: 355840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -166*f + 104*f - f**3 - 848*f to the form q + k*f**2 + z*f + o*f**3 and give z.\nAnswer: -910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.9 + 3. Let l = -806.53 + 799. Let z = l + 2.53. Which is the second biggest value? (a) u (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -651470990 + 651518725.7219. Let o = 47777 - j. Let l = -41.2 + o. What is l rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 2:20 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**3 + g**2 + 2*g + 1. Let y be x(-1). Let l = 0 + y. Suppose -36 = l*k - 6*k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42202 + 265215. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 475860 and 29788836?\nAnswer: 148944180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5159046888 to the nearest integer?\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41)\/(-4) + (-46)\/184?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*h + 142*h = 3*w - 82491, 2*w - 5*h = 54976. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80386 is divided by 9992.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 15. Let v be g*4\/(-8)*43. What are the prime factors of v\/24 + 2\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 255257410?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a milligram in micrograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**17)**49*(w*w*((w*w\/(w*w**(4\/13)))\/w*w)\/w)**(2\/9))**(-1\/38) assuming w is positive.\nAnswer: w**(-97505\/4446)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**3 - 174*a**2 - 175*a - 125. Give y(59).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 4*y**2 + 3*y - 2. Let r be n(-3). Let c be r - 1 - (-7 - 3). Suppose -4*j - 24 = -c*j. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 79023757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, y: 3, w: 4, b: 1, a: 2, i: 1}. What is prob of sequence wa?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.034 - 133488.46\nAnswer: -133488.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*y + 42*y - 2436 = 0. Let i = y + -410. What is the third biggest value in -0.04, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 10:23 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1070198\/37 + 28928. Let k = d + 931\/296. Find the common denominator of -95\/2 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/10*(-15)\/6. Solve a + 15 = -i*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/10077 <= -1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g + 2*g - 6*g)*(-1 + 1 - g - 2) + g**2 + 99*g**2 - 3*g**2 to t*g**2 + y*g + x and give t.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 96140140 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 9907243 to the power of 1\/2, to the nearest integer?\nAnswer: 3148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 3*n - 5*n)*(0*n + 0*n + 2*n) + (n**2 + 0 + 0)*(-3 + 2 + 0) + 2*n**2 - 4*n**2 + 0*n**2 + 497 + 23*n**2 - 497.\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence envn when four letters picked without replacement from {e: 1, k: 1, j: 2, n: 2, v: 4, g: 5}.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 v when three letters picked without replacement from {j: 2, d: 4, v: 1, h: 4}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 13, b: 2, e: 5}. What is prob of picking 1 j and 1 b?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -18a5 (base 12) in base 5?\nAnswer: -44010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.2? (a) 4 (b) 0.1 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + sqrt(10)\/sqrt(2) + 5) + -2)**2.\nAnswer: 80*sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(((i*i\/i**(-14))\/i)\/i)*i)\/i)**(-24) assuming i is positive.\nAnswer: i**312","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36973854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2*s - 3*s - 9, -33 = -2*f - s. Let v = 18 + -16. Calculate the lowest common multiple of f and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**6\/60 - x**5\/60 - x**4\/24 + 7*x**3\/2 + 4669*x**2. What is c(0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 695960145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-773*m + 820 - 820)*(4 - 4 + 2*m).\nAnswer: -1546*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -25 (c) 69 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1544711 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 39 = -3*t, 4*t + 0*t + 3*j - 17 = 0. Suppose -3*i = n - 7 - t, 5*i - 26 = -2*n. Calculate the remainder when n is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2262 and -5.\nAnswer: 11310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 1.07063.\nAnswer: -0.107063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**3 + 116*b**2 - 39*b + 133. Let z be v(-39). Calculate the highest common factor of 931 and z.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2986*b**2 + 332*b**5 - b**4 - 21*b**5 - 1328*b**2 wrt b?\nAnswer: 18660*b**2 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 12. Let n be u(-13). Suppose 0 = -6*f + 23 + n. Suppose -4*b + 0*b - 20 = -f*i, i + 3*b = 5. Solve v + 3*v = 4*q + 36, 2*v - i*q = 33 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 9 = -14. Suppose 4*a + 13*w = 14*w + 72, a = -w + 23. Solve 2*z + u = -p + 6*p, a = -z + 4*p for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, q: 1, m: 3, f: 5, w: 5}. What is prob of picking 1 q and 2 m?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/((-676)\/(-91))*(-8930)\/(-1645)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, -96, -0.5, -2\/3, -3, 293?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 + 2*w**2 + 23 - 3*w as k + r*w**2 + z*w and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 5 = -4*c. Suppose -2*d = -0*i + i - 18, 5*i - 34 = -c*d. Suppose z = d - 5. Calculate the greatest common divisor of z and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*x - 8 = 0. Solve -3*u - 2*l + 0*l - 6 = 0, 15 = -x*u - 5*l for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -2017, 1\/2, -3, -4, -1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -262, 0, 3, 2.6, -0.4, -19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(10\/11)*v)**26\/(v**(7\/5)*v*v*v\/v**(1\/14)*v) assuming v is positive.\nAnswer: v**(74157\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 3*r - 94, 4*q - 2*r = 3*r + 90. Let d(n) = -n**2 + 27*n - 34. What is the smallest common multiple of d(q) and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28.962 + -29. Let q = -35.038 - p. Let i = -34.99999924 - q. Round i to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3948663*d**2*k*w**3 + d**2*k + 1230*d*k*w**3 - 2*d*k*w**2 + 9*d*k + 4*k*w**3 wrt d.\nAnswer: 7897326*k*w**3 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*62\/(-2976)*(-1)\/5*-1.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -631 - 5b785?\nAnswer: -601b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of w**4\/6 - 218*w**3\/3 + 8856*w**2 + 53792*w\/3 + 1072. Factor u(l).\nAnswer: 2*(l - 164)**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00067490676 rounded to 7 decimal places?\nAnswer: -0.0006749","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = -3*w. Let s = 8 - w. Suppose 0 = -g + 4*g - s, 0 = -3*o - 4*g + 27. Solve 0 = 2*k + 7 + 3, o = -5*r - k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6 = 0, 5*t - 14 = -y + 16. Calculate the remainder when 284 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -27. Let y(s) = 28 - 21 - 4 + l*s. Give y(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-6 + (-1 - -2))*-1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4400 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g - 2*g + 2*g + (4 + 3 - 5)*(0*g - 2*g + 0*g) + 3*g + 0*g - 2*g + 4*g - 4*g - 2*g + 11*g - 12*g + 29*g as x*g + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*y - 1892, 8*y + 3145 = 5*o + 3*y. What is the greatest common factor of 72 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 20*f - 308. Let w be u(14). Let m(g) = -g**3 - 27*g**2 - 32*g - 170. What is the hundreds digit of m(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262369024.\nAnswer: 2, 17, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mi when two letters picked without replacement from mmlicmmcm.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001110101010110110000 (base 2) to base 12.\nAnswer: -1695528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7371 (b) 1\/2 (c) -5 (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232.260642ns to days.\nAnswer: 0.000000000002688201875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 16448.\nAnswer: 49344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5*j - 0*j - 35, -25 = -2*y - 5*j. Suppose q - 4*q - 74 = 2*n, y*q - 3*n = -98. What is q rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 4*f**2 + 3*f - 2. Let t be (-3 + 5)\/(-4 - -5). Suppose 6*j + t = 7*j. Let a be 4\/1 + (j - 9). Calculate d(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + h = 7, -5*u = -0*h - 5*h + 15. Suppose 3*b + u*f = -2, 2*b + f = b. Put -3, b, -4 in decreasing order.\nAnswer: b, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -832153 + 24?\nAnswer: -832129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 4:52 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 390756 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -209692, 0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(168)\/sqrt(3) - sqrt(56)) + sqrt(56))\/(sqrt(64)\/(sqrt(8)*1)) + -5 + (sqrt(28)\/(sqrt(32)\/sqrt(8)))**2 + 1.\nAnswer: sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 9 - 3. Suppose 4*s = 4*r - 15 - 21, 0 = -m*s + 8. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*x - 4. Let l be (-9 + 1)*((-3 - x) + 2). Let v(d) = -d**3 - 8*d**2 + 7. Let o be v(l). Which is greater: 6 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 11:10 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 9*w**3 + w**2 + 5*w - 7. Let k be v(2). Factor -310*f**3 - 574*f**2 + 135*f - 34*f**4 + k*f**2 + 835*f**3 - 91*f**4.\nAnswer: -5*f*(f - 3)*(5*f - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292 - 9*j - 19*j + 19*j + 292 + 2*j + 5*j**2.\nAnswer: 5*j**2 - 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -22. Suppose -y*f = -f - 105. Calculate the remainder when 26 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6213 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/3)*c\/c**(-1\/2)*c*c**6*((c*(c\/(c\/((c**(-2\/5)*c)\/c*c)))\/c)\/c)\/c*c*c*((c**(3\/2))**(-29))**(-48) assuming c is positive.\nAnswer: c**(62923\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/28 + (404\/14 - -3). Solve 5*o + v = 13*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105727 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2983 = -8*p + 3039 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 1294 = 1278. Let a(j) be the first derivative of 12 + 31\/2*j**z + 30*j. Differentiate a(q) wrt q.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -655*q + 4673. What is f(7)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 2*o**2 - o + 2. Suppose 5*u - 4 = 3*u. Let i be v(u). Solve 2*y + 7 = -3*l, i*y = 2*y + 2*l - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2460)\/2050*(-720)\/972\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 0 - (4 + 38)) + -41 + 42.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 126235686613 and -0.2.\nAnswer: 126235686612.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*x - 44, 26 = -x + 78*k - 76*k. Sort 26, x, 2 in decreasing order.\nAnswer: 26, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -358\/105463 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -48*u**2 + 334*u + 515. Give x(9).\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29 + 29 - 11*c**5 + (3 - 3 + 2*c**3)*(0*c**2 - 3*c**2 + 0*c**2).\nAnswer: -17*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -5)*1 - -1. Suppose -l = -d + 2. Find the third derivative of -4*i**2 + i**3 - i**3 - 4*i**2 + i**d wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2301828084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 >= 616\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 20785638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 2*y**2 - 15 + 16. Let c = 0 - 1. Calculate r(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13118604 a multiple of 1504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-10)*(-90)\/3. Let n be 4\/u + (-98)\/(-3). Let z = -23 + n. What is the smallest common multiple of 1 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xxtxxxxttxtxxtxx.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/(105\/1818))\/(-24*(-1)\/(-80)). Solve 411*f - 7 = i*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -446, -1965, -4554, -8213?\n\"Answer: -535*n**2 + 86*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -32de506 + 5?\nAnswer: -32de501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86719 + -18258. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -640 = -34*o - 160*o + 66*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -169*g - 48. Let n be h(-1). Is n smaller than 365\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 32. Let h(o) = 2*o. Determine l(h(w)).\nAnswer: 8*w**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b*f**2*k**3 + 2*b*f*k**2 - 49*b*k + 7279*f**2*k**3 - 46*f**2*k**2 - 3*f**2 wrt k?\nAnswer: -18*b*f**2 + 43674*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**2 + 2*h**3 + 18*h**3 - 9 - h**3.\nAnswer: 19*h**3 + 6*h**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 8 (b) -0.5 (c) 1\/3 (d) 124 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 247 - 223. What is the remainder when o is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007751 to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120011 - -1110?\nAnswer: 1121121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 3*y - 5*r, -3*y - 4*r = -0*r - 12. Let p = -10 + y. Which is the biggest value? (a) -4 (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*g - 96*g = 69*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 5:49 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/(-225))\/((-4)\/5). Let y(d) be the second derivative of 0*d**2 + l*d**6 - d + 0*d**4 + 5\/84*d**7 + 0*d**3 - 1\/20*d**5 + 0. Factor y(v).\nAnswer: v**3*(v + 1)*(5*v - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121080 divided by -24216?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from glmlttllltmmfl?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5*4\/20*1*-3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/4 - 377*y\/2 - 753\/4.\nAnswer: -(y + 1)*(y + 753)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -20 + (23 - 13) - (2 + 19)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 + 3*o + 2*o**3 - 26*o**3 + 2*o**4 - 2*o - 2*o**3 to w*o**4 + n*o**3 + f*o**2 + u*o + i and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 10*l - 13. Let k = 554 - 556. Let n be a(k). Suppose 3*d = -d + 96. Calculate the greatest common factor of n and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22)\/3*15\/5. Let z = q - 48. Let x be (-21)\/z*(-8)\/6. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114 and 3173?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 10:45 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*j**2 + 11*j**2 - 5*j**2 to the form u*j + i*j**2 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/(-3) - (-4)\/(-6). Suppose -4*j + 53 = 3*u, -a*j - 2*u + 38 = -4*u. Suppose 5*v = 51 - j. What is the least common multiple of v and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a**3 + 27*a**2 + 233*a - 9. What is i(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, b: 2, s: 1, n: 1}. What is prob of picking 1 n, 1 s, and 2 b?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -108578*m**3 - 530719944*m**2 + 45555960*m - 977600.\nAnswer: -2*(m + 4888)*(233*m - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.7 - -2. Let o = z + -0.4. Let k = 0.6 + -1. Put k, 1, o in ascending order.\nAnswer: k, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 4 = 0, g - 4*g - 3 - 3 = m - 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.4 + 2. Suppose 5*a = -6 - 4. Let l = 14 + -17. Put l, q, a in ascending order.\nAnswer: l, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29653710686 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/(h*h*h\/(((h*h**(-27)\/h*h)\/h)\/h))*h\/((h*h**(-12))\/h) assuming h is positive.\nAnswer: h**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 - -3 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 187523 and 0.68.\nAnswer: 127515.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = b - 25, -5*j - b + 5*b + 19 = 0. Let t(s) = 34*s + 7. Let x(q) = -51*q - 10. Let k(v) = j*t(v) + 5*x(v). Is k(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 612 and 2.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31050 + -28537. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/5))**(-13)\/(u\/u**(1\/3)*u**6) assuming u is positive.\nAnswer: u**(-256\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - ((3 + sqrt(2))*-3 - sqrt(2)))*2)**2.\nAnswer: 360*sqrt(2) + 524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/1056 and (23\/(-44))\/(345\/(-230)).\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 4*f + 20 = 8*f, 5*p - 25 = -5*f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 649 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**2\/2 - 16*y + 51. What is s(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-567)\/(-66)*(-12)\/(-392). Let a = s + 1\/44. Put 0.3, -4\/9, a in decreasing order.\nAnswer: 0.3, a, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p. Let l(o) = o - 1. Determine -h(r) + 3*l(r).\nAnswer: -2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 2488698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*36\/1296*20\/95.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (5 - (5 - 8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.73 + -0.03. Let p = 7.1 - b. Which is smaller: p or 17?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - (4 - 2)) + 0 + -965. Let n be ((-4)\/(-6))\/((-23)\/h). Find the first derivative of 207*c**3 + 10 - 210*c**3 - n wrt c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14329\/978 + -5\/326. What is the common denominator of (-10)\/(-2) - (-10025)\/(-1650) - -2 and c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*z - 76*z + 2*c = 82, 2*c + 158 = 4*z. Calculate the remainder when 2238 is divided by z.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1 - 0) + 3 + -5)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 10 = 3*r, 5*r + 5 = 30*a - 31*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-36)\/(-531))\/(-163*142). Let r = i - 85350187\/234885608. Let m = -1\/86 + r. Is 1 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 174 and 68817?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.072303 rounded to 3 decimal places?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 143, 289, 435?\n\"Answer: 146*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81092401 to the nearest integer?\nAnswer: 9005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50622, 50587, 50528, 50445, 50338, 50207?\nAnswer: 50052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**5 + 88*z**4 - 472*z**3 + 868*z**2 - 682*z + 196 = 0.\nAnswer: -49, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1977.742 millilitres?\nAnswer: 1.977742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1)\/1 + -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16104 = -689*t - 5692 + 14854 + 14007 for t.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 times -5166?\nAnswer: 1084.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 1819.9.\nAnswer: 1824.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 8. Let k be u(0). Suppose 3*n - 42 = -3*f, 3*f + 58 = k*f - n. Let x = -220 - -340. Calculate the greatest common factor of f and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18866980 is divided by 571726?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2991611?\nAnswer: 7, 29, 14737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95\/(-38 + 36 - 22\/(-10)) is divided by 126.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 383*k + 450 = 385*k. What is the greatest common divisor of k and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2 + o - o + 4*o**2 - 25*o**2. Let a = -4 + 6. Let l be g(a). What is l rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*d**2*t - d**2 + 2*d*t**2 - 12*d*t - 2*t**2 - 135 wrt t.\nAnswer: 21*d**2 + 4*d*t - 12*d - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 g, and 1 m when four letters picked without replacement from zgqylqml.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 - -62. Let b(c) = 11*c**3 + 33*c**2 + 24*c - 29. Let g(t) = -5*t**3 - 16*t**2 - 12*t + 14. Let i(q) = -6*b(q) - 13*g(q). Is i(h) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l**3 - 21*l**2 + 31*l - 13. What are the prime factors of i(-10)?\nAnswer: 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -72 + 46*o**2 + 0*o - 57\/2*o**4 + 2\/3*o**3. Find the third derivative of d(g) wrt g.\nAnswer: -684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.9 - -1.5. Sort -5\/2, g, 1 in increasing order.\nAnswer: -5\/2, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -235.883925 to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 552 - 522. Suppose -276 = -5*n + d, -5*n - 41 + 315 = d. Suppose -3*a - 5*u = -u - s, -5*a - 5*u + n = 0. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*v - 165*v - 9 = r, 5*r - 53 = 4*v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 688\/1055 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 896 is divided by 60.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = l + 5*w, -67 = -5*l - 4*w + 74. Solve l = d + 4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -8*y**3 + 155*y**2 - 68*y + 51. What is j(19)?\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 13*u + 10. Let i(t) = -3*t**2 - 40*t - 26. Let l(j) = -2*i(j) - 7*k(j). What is l(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301 + -331?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 10 + 56 = 3*f, 0 = -62630*n + 62634*n - 20 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/5 + (-110)\/25. Let q = 0.05 - -0.05. Let k be (-3468)\/(-153) - (27 + -4). What is the closest to 3 in y, k, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 5 + 3*j - 2 - j**3 + 2*j**3. What is the derivative of c(m) wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 11:06 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.3, -196\/11, 0.096, -4\/35?\nAnswer: 0.096","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 1 + (-1 + 3 + 0)*(-112 - 381 + 132))*(2*c + 2 - 2).\nAnswer: -1436*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -899172, -899175, -899178?\n\"Answer: -3*l - 899169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78066 by -1.\nAnswer: 78066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.19 and -0.13.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6239 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 12*l**2 + 12*l - 11. Let q be w(-13). Suppose -2*u - 24 = 3*d, -q*d = -5*d + 4*u - 24. Is 2 a factor of (-2 + (-12)\/d)*-14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1618427*a = 1618328*a + 1298 + 10582 for a.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1664, 1691, 1716, 1739, 1760, 1779, 1796?\n\"Answer: -f**2 + 30*f + 1635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62 + 495\/8. Let g = -9.4 - 68.6. Let i = g - -76. Which is the smallest value? (a) k (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -399321*f**3 + 182831*f?\nAnswer: -2395926*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -y. Suppose 9*p - 120 = 5*p. Let g = 64 - p. Solve 4*l + 14 - g = y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -977 - -24?\nAnswer: -953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3713 is divided by 3679?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -590378 divided by 2.\nAnswer: -295189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + b = 0, -5*c = 66*b - 63*b + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -8*n + 5. Let w be y(1). Let q(d) = -d**3 - 4*d**2 - 3*d - 4. Give q(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 20, -3*v + 4*v + 2*n + 12 - 25 = -0*n - 31 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*g - 5. Let a = -0.04 - 0.01. Let y = a - 0.05. What is the nearest to 0 in -2\/11, g, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 973, 3308, 7857, 15358, 26549?\nAnswer: 42168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1967510, 1\/7.\nAnswer: -4, 1\/7, 1967510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30014*f + 300 = -29994*f for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 46*l - 44*l - 8, 12*t - 2*l = 104 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 13) to base 12\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 + -26. Suppose -2*u = -41 - t. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w**2 - 2*w. Let b be u(-1). Find the third derivative of 26*v**4 - b*v**4 - 10*v**2 + 59*v**2 wrt v.\nAnswer: 480*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221011 + -111121202?\nAnswer: -102200121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m - 26. Let v be i(-6). Solve -3*c - v*u = -1 - 3, -24 = -4*c + 4*u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39807523.\nAnswer: 7, 17, 37, 9041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -22513 (base 8) in base 7?\nAnswer: -36556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -347856 + 29?\nAnswer: -347827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011100 + 11?\nAnswer: 2011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.11, -1\/6, -1\/3, 2.6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, -110, -669, -1900, -4061?\nAnswer: -7410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4197?\nAnswer: 3, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 154*k**5 - k**3 - k**2 + 7*k wrt k.\nAnswer: 9240*k**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Let n be (-4)\/(-12)*-2*-6. Solve 0 = -o*m - 4 - n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 70 = -8*v. Let d be (1 - (0 + v)) + 3. Suppose -g + d = 2*g. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/14 + 19\/14. Factor -2\/7*c**3 - i - 10\/7*c**2 - 16\/7*c.\nAnswer: -2*(c + 1)*(c + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.97 - 0.93. Let j = 1.9 + q. Which is the closest to -2? (a) 0.2 (b) j (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 + -61. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 103*(-3)\/600 - 4. Let h = r - -7\/50. Find the common denominator of h and -53\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -4. Find the second derivative of 7*n**c - 3*n - 7*n**2 + n**5 wrt n.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1115450253 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**5 + 5*g**4\/2 - 5*g**3\/3 - 9. Solve z(n) = 0 for n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223220124 to the power of 1\/2, to the nearest integer?\nAnswer: 14941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 70, -2, 803, -11.\nAnswer: -11, -2, 0, 70, 803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -378, -1810 in descending order.\nAnswer: 7, -378, -1810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.54 - -0.04. Let y(n) = 2*n**2 + 8*n + 5. Let t be y(-5). Let l be 5\/13*6\/t. Sort 2\/9, d, l in descending order.\nAnswer: 2\/9, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (2 + 1 - 7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1161 is divided by 51.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 2*h - 2*h)*(9 + 12 + 5) as w*h + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*1)\/sqrt(4)*5 - ((-4*sqrt(204)*-2 - sqrt(204))\/sqrt(12))**2)*4.\nAnswer: -3332 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, b: 7}. Give prob of sequence bbbq.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(3) + 2 - -4*sqrt(16)\/sqrt(8).\nAnswer: 2 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 81 - 4705?\nAnswer: -4624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from luioiluuiioogguiiubg. Give prob of sequence ogo.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 46270537, 46270536, 46270535?\n\"Answer: -s + 46270538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 5:28 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-40))\/x*x)**(5\/17)\/((x*x**(-2\/3))\/(x*x**(-17)*x)))**(27\/5) assuming x is positive.\nAnswer: x**(-12303\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4593 + -4595. What is the nearest to 2 in -3\/5, -3\/4, b?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-1\/3))\/m*m**(2\/7))\/((m\/(m\/m**0))\/m)**(-2\/59) assuming m is positive.\nAnswer: m**(1138\/1239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-8)\/((-64)\/(-6))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/13 - 2*d**2\/13.\nAnswer: -2*d**2*(d + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/2)\/l)**(-1\/11)\/(l**(-3)*l*l**(1\/5)*l)*(l**(-1)*(l\/(l*(l\/(((l\/(l\/l**5*l*l))\/l*l)\/l))\/l*l))\/l)\/(l**0)**44 assuming l is positive.\nAnswer: l**(-17\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.4, -0.5, -30 in ascending order.\nAnswer: -30, -5, -0.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*g + 4*j, 11 = 3*g + 2*j - 12. Let s(a) = -a**2 + 72*a - 632. Let d be s(61). What is the derivative of 0*h**4 + 13*h**4 - d + g wrt h?\nAnswer: 52*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.03151 - 0.03151. Let j = 2 - 1.9. Let l = -0.1 - 0.3. What is the closest to -0.1 in l, j, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1261125, 1261133, 1261151, 1261185, 1261241, 1261325?\n\"Answer: j**3 - j**2 + 4*j + 1261121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24 + -23)\/(((-2)\/27)\/(-2)). Let r = q + -19. Suppose 2*o - 4*h = 36, -r*o + 3*h + 76 = -3*o. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 + 234. Calculate the remainder when o is divided by ((-8)\/6)\/((-10)\/(-25))*(-33060)\/2204.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 1. Suppose h - 20 = -3*v + 5*h, -2*h = t*v - 12. What is the derivative of 1 + f - f - 16*f**v + 3*f**4 wrt f?\nAnswer: -52*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79706428.8854 plus 0.509?\nAnswer: -79706428.3764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**3 + u**2 - 5*u + 5. Let k be n(3). Suppose 57 = -2*s + k. Let w be (s\/(-2))\/((-6)\/(-30)). Solve -w*f = -0*f + 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.586 + 55.\nAnswer: 55.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 24845 (base 13) to base 7\nAnswer: 400160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4a5 (base 11) to base 7\nAnswer: 1514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 61.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**5\/20 + p**4 - 7*p**3\/3 + 35*p**2\/2 - 29*p. Let a be j(11). Let 15 + 35*l**2 - 30*l**a + 25 + 30*l = 0. Calculate l.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 1:51 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5229, 10523, 15815, 21105, 26393?\nAnswer: 31679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 39, 10, -2 in ascending order.\nAnswer: -2, 2, 10, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*c**3*u - 54302*c**3 - 1043*c*u**3 wrt u.\nAnswer: 15*c**3 - 3129*c*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3002 - 2998. Solve a*r + 315 - 311 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/20 - 11\/(-10). Let s(g) = 5*g**3 - 3*g**2 + 2. Let u be s(c). Solve u*m + 9 - 21 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 330 + 78. Let s = p + -82. Suppose 0 = 53*j - s*j + 25. Solve -4*m - m = -j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3395580 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(3\/2)*r*r)\/r**(1\/4))**(-23\/2)*((r**(2\/7)\/r)\/(r*r\/r**(-1\/4)))**(-27) assuming r is positive.\nAnswer: r**(2389\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1516793 is divided by 768.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/30*75\/10. What is the nearest to 1\/2 in t, -2, -1\/10?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (21\/9)\/((-1)\/(-3)) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1052?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 122638667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(2\/7)*u))\/u)\/u*u*u**14 assuming u is positive.\nAnswer: u**(89\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8*-20 + 16\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 5*c + 151, -13 = -d + 3*c + 64. What is the highest common divisor of 527 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 201?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 509\/604 + 288\/151. Put 0.3, c, 6.4 in increasing order.\nAnswer: 0.3, c, 6.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -666 or -611?\nAnswer: -666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 947 - 877. What is the remainder when t is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85375 by -125.\nAnswer: -683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a - a - 10*a + 17*a.\nAnswer: 19*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 33603544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5 = 2*g. Suppose y + 4*b = 78, -207*b - 276 = -4*y - 205*b. What is the greatest common factor of y and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -212.54*-0.07038.\nAnswer: 14.9585652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + (-8)\/4 + 0 + 1. Suppose 8*z - 3*z - j = -a, 2*a - 5*z + 5 = 0. Solve 2*c = -a - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7173303, -14346602, -21519903, -28693206, -35866511?\n\"Answer: -c**2 - 7173296*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, f: 5}. Give prob of sequence fff.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3830 and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*g + 9221 = -2133*g - 52627 - 52818 for g.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*k + 2*v, 4*k - 3*k - 4*v = -1. Suppose 4*c + 13 - 56 = k*f, 5*c - 5*f = 60. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 - -47. Let o(i) = i**2 + 3. Give o(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - -33. Let x(h) = h + 2. Let u be x(-2). Suppose u = 3*l + 22 - o. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3 - 1993006*d**2 - 3986020*d = 0 for d.\nAnswer: -2, 0, 996505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**4 + 156*f**3 + 1866*f**2 - 4212*f + 2187 = 0. What is f?\nAnswer: -27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.09 + -0.11. Let s = n + -1.39. What is s rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 7*m + 4*r - 454962, 3*m - 682487 = 5*r. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/((-2)\/(-6) - (-2)\/3). Let d be ((-7)\/3)\/(o\/(-18)). Solve -4*y - d = -2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 0.111?\nAnswer: 1.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 1 = c. Is -1\/6 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8659043 to the power of 1\/2, to the nearest integer?\nAnswer: 2943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 4*r - 1, 4*r - 7 = -11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 1256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1180, 4, 5 in descending order.\nAnswer: 1180, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375666659.\nAnswer: 23, 2333, 7001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*r - 28 = -9, 0 = 2*n + 4*r + 16. Let l = 7 + n. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 19 = 5. Let h(u) = -u + 5. Let i be h(k). What is the units digit of i\/(-5) + 48\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 12:14 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 72 = -5*i + 3*z, -4*i = -2*z + 40. Let v be ((-6)\/8)\/(i\/8). Sort -3, v, -2\/5 in decreasing order.\nAnswer: v, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157525282?\nAnswer: 2, 941, 83701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/2 - (-1 + 3)) + 2. Suppose 0 = -y*n + 19 - 15. Solve -2*u + r + 16 = -6*u, u - n*r = -4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*r + 2*p - 11, -5*r + 37 = -3*p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 92 + 160. What is the least common multiple of k and 12?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.266 + -145.266. Let g = 3.974 - 4.074. What is the second biggest value in -1, a, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.001 - -46.199. What is d rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14387 + -4?\nAnswer: 14383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 817403267.49999951 - 817403349.5. Let p = 82 + a. Round p to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30984.4 and -1.\nAnswer: 30984.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2740?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 953779325 to the nearest integer?\nAnswer: 984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1523 - 8968 - 2*z + 1495.\nAnswer: -2*z - 8996","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 654*y - 2 - 313*y - 323*y - 5*y**4 to the form l*y**4 + x*y + g*y**2 + v + r*y**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.2 - 21.1. Which is the nearest to y? (a) -14 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1354*r*z**6 + 8*r*z**2 - 22*r + 2*z**6 wrt z?\nAnswer: -162480*r*z**3 + 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 - (2 - 1)*2. Let z(a) = 3*a**3 - 5*a**2 + 3*a - 20. Let h(p) = 4*p**3 - 7*p**2 + 4*p - 30. Let f(c) = u*h(c) - 7*z(c). Determine f(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 16 = -y. Suppose 3*d - 1334 + 1349 = 3*w, 0 = -5*w - 5*d + 55. Suppose 5*l - 20 = l. Solve -y*a = l*c + 23, 0 = c - a + w - 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-2 + (7 - -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.043 - -36.043. Let z = m - 36.4. Put 0, 1\/6, -1, z in ascending order.\nAnswer: -1, z, 0, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 51, 138, 269, 450, 687, 986?\nAnswer: 1353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(1200\/(-112))*(-3)\/(-8)?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28\/17 + -129\/68. Which is the closest to -0.1? (a) 10 (b) x (c) -2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*n**3*t**3*y - 551*n**3*t**3 - 133*n**3*t*y**2 + 30*n**2*t**3*y + 9012*t**3*y**2 wrt y?\nAnswer: -266*n**3*t + 18024*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1126840 and 880.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -8\/5 - 22\/3*k**2 - 10\/3*k**3 + 112\/15*k = 0.\nAnswer: -3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 516 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2289*g**2*n**3*o - 13*g**2*n*o + 39*g**2*o + 8*g*n**2*o + 3*g*o - 5*g - 25435*n**3 + 2*n**2*o wrt g.\nAnswer: 4578*n**3*o - 26*n*o + 78*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**4\/72 + 29*q**3\/9 - 115*q**2\/12 + 92*q - 1. Factor v(g).\nAnswer: -(g - 115)*(g - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -265, 602, 0.5 in descending order.\nAnswer: 602, 0.5, 0.3, -265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 13*c. Let d = 184 - 164. Let t(j) = d*j + 28*j + 20*j - 74*j. Determine -7*t(s) - 3*v(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10067091?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 5 - 1)*(4 - 1 - 1) - 2 + 3 - 3 + (2 - 3 + 0)*(0 + 0 + 1) + 5 - 1 - 3 - 1 - 3 + 2)*(32*o**2 - 128*o**2 - 3*o**3 + 4*o**3).\nAnswer: -6*o**3 + 576*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/2 - 11*t\/2 + 15.\nAnswer: (t - 6)*(t - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**5 - i**4 + i**3 - i + 1. Let m(q) = -2*q**5 - q**2 + 3*q - 3. Let o = 311 + -317. Let r(v) = o*x(v) - 2*m(v). Factor r(n).\nAnswer: -2*n**2*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 3*d - 1. Let r be o(-5). Let 4 - 3*y**2 + 4*y**3 + 6*y**2 + r*y**2 + 12*y = 0. What is y?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 131 - 126. Suppose -4*n = 3*h - 24, -n + 1 = a*h - 22. Solve 4*l + 2*t = -0*l + 6, n*l + t = 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5859408757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*q = 292*q + 108 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 50*w**3 - 3*w**2 - 17*w + 17. Let z(d) = -17*d**3 + d**2 + 6*d - 6. Let m(g) = 6*r(g) + 17*z(g). What is the third derivative of m(s) wrt s?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3 + 1180*t**2 + 330676*t = 0. Calculate t.\nAnswer: -722, -458, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 - 36*x - 14. Let g(d) be the first derivative of d**3\/3 + 12*d**2 + 9*d - 1373. Give 8*g(j) + 5*o(j).\nAnswer: -2*j**2 + 12*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {x: 7, e: 2, r: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -1000578, 5 in ascending order.\nAnswer: -1000578, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4905 - -4934. What is the remainder when 115 is divided by o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-8736)\/20 - -4)*(292\/(-8) - -9)?\nAnswer: 2, 11, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 - 56. Find the common denominator of ((-856)\/(-192))\/(n\/8) and -11\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.6 and -11?\nAnswer: 171.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**5 - 244*b**4 - 2476*b**3 + 17844*b**2 - 15120*b = 0. Calculate b.\nAnswer: -45, -21, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7168226 and 311662?\nAnswer: 7168226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 4*m - 5*u = 738090, -m - 4*u = -147623. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 31849*i**3 - 15 + 2*i - 9*i**2 + i - 31848*i**3. Determine c(8).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(36)\/(sqrt(4)*3)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - -21 - -11 - (-55 - -28).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1319 is divided by 277?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -501*p**3\/7 + 13954851*p**2\/7 - 97174542267*p\/7 - 581883987\/7 = 0. Calculate p.\nAnswer: -1\/167, 13927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from {e: 1, m: 1, b: 2, q: 2, d: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 4*d + 3*d)*(4*d - 3*d + d) - 2*d**2 + 3*d**2 - 6*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000213351 rounded to 7 dps?\nAnswer: -0.0000213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 6300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -132 + 155. Solve -3*o + 2*d + 16 = 0, o - d = -6*d - m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -77508 * -1393.\nAnswer: 107968644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 0. Let l(c) = -2*c**3 - 9*c**2 - 5*c - 12. Let j be l(-5). Suppose j*r = -3*y + 34*r + 23, -3*y = 5*r - 25. Solve -o = -y + u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -184 + 188. Let q = -5.05 - -0.05. Which is the third smallest value? (a) -0.4 (b) j (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 11:42 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 2*r + 1. Let f(z) = -z**3 - z**2 + z. Calculate f(b) + t(b).\nAnswer: -b**3 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 0 - (78 - (81 + -25)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 + -5 - 9 - -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 15*n**2. Let w(j) = j + 2*j - j - 4*j. Calculate t(w(q)).\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1 = -0, 2*d = -z + 1. Suppose 0 = -3*c + 2*c + z. Find the second derivative of x**3 + 2*x + 2*x**5 - x**c wrt x.\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a**5 - 2*a**5 - 5*a**5 + (-2*a**2 - 2*a**2 + 3*a**2)*(4 - 4 + 1)*(2*a**3 - 2*a**2 + 2*a**2).\nAnswer: -4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -89*z**2 + 54*z**2 + 47*z**2 + 51*z**2. Let k(b) = -27*b. What is k(c(f))?\nAnswer: -1701*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5647, -22669, -51055, -90817, -141967, -204517?\n\"Answer: -2*a**3 - 5670*a**2 + 2*a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 times 0.29305?\nAnswer: 0.322355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 748 (base 9) to base 15\nAnswer: 2ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okwowkkkowkokw. Give prob of picking 2 k and 1 w.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3992854 is divided by 413?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -190995*v**2 + 1071*v. Let h(w) = 357*w**2 - 2*w. Calculate -1071*h(j) - 2*o(j).\nAnswer: -357*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/((-7176)\/(-96))*156?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4*d + 38, 3*t + 2 = d - 0*t. Let u = -28 + 39. Suppose u*r = d*r. Solve 5*n + r*n = 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, u: 3}. What is prob of picking 3 y?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 5 + 3*t**2 - 8*t**2 + 2*t**2 + 4*t**2 - 2*t + 2*t**2 + 2*t + (-2 + 1 - 1)*(0*t**2 + 4*t**2 - 7*t**2) to o*t**2 + n*t + l and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/3440 and -77\/4720.\nAnswer: 202960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 809 and 206.\nAnswer: 166654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 1696.\nAnswer: 1\/424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = -13 + 49. What is the third derivative of 101*p**6 - 16*p**4 - 13*p**4 - p**2 + 92 + 29*p**l wrt p?\nAnswer: 12120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4010.433 + -5.433. Let a = b + -4006.3176. Let s = a + 1.3. Round s to three decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 18495*g**5 + 1128580*g**4 + 16650360*g**3 - 17435510*g**2 - 486855*g + 124930 = 0.\nAnswer: -31, -13\/137, 2\/27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 3) + 0 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m**2 - 8*m + 5*m**3 - 6*m**3 - 127 + 113. Let z be u(-4). Suppose 3*o + z*b - 13 = 0, 4*o - 6 = 4*b - 2. Solve 0 = -o*r + 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 159. Calculate the greatest common divisor of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9079, 9059, 9021, 8959, 8867, 8739?\n\"Answer: -z**3 - 3*z**2 - 4*z + 9087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1528, -3989, -8312, -15427, -26264?\n\"Answer: -155*b**3 - b**2 - 1373*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 39*t**2 - 8*t. Let c(g) = -4*g**2 - 4*g. Let m(i) = 2*c(i) - f(i). Let l(v) = 62*v. Determine l(m(d)).\nAnswer: -2914*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 397 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5696 and 5056?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2486 - -2509. What is the greatest common divisor of 943 and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 816 is divided by 138?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**3 + 38*n**2 + 18*n - 118. Is 112 a factor of u(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10121, 10192, 10249, 10292, 10321, 10336?\n\"Answer: -7*w**2 + 92*w + 10036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170450, -170457, -170462, -170465, -170466?\nAnswer: -170465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2760 + 5?\nAnswer: -2757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1447 + -9?\nAnswer: 143a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*q*w**4 + 5*q - 10*w**4 + 163*w**3 + 12 wrt w.\nAnswer: -8*q*w**3 - 40*w**3 + 489*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 394456019?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.13 + 95.87. Let t = a - 88.7. Round t to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -973*s + 4713 + 2098 = 0 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 >= -2.3856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/4*(-2080)\/10140. Which is the second biggest value? (a) t (b) -761 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in 0.1, -0.28, -5, -0.6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13510 (base 7) to base 10\nAnswer: -3682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 12*k + 28. Let m be x(-14). Suppose m = 4*o + c - 69, 2*c - 36 = -2*o - 0*c. What is o rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/13523540 and 125\/36.\nAnswer: 121711860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(((-54)\/(-228))\/(-3)). Suppose 81 = 5*o + h. Solve -2*c = -3*c + o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/5 - (-2 - -2)) + -1. Let n be -4 - ((0 - -2) + -1). Which is smaller: n or j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3))**(-27)*((l*l**(2\/25))\/l)\/(l\/(l**(-8\/7)\/l)) assuming l is positive.\nAnswer: l**(13639\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 6000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3938699243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szzszzszzssszssssss. Give prob of picking 2 s.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416*j = 159*j + 1542 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-11))\/a**7 assuming a is positive.\nAnswer: a**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71\/4 of a litre?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21120 + -19808. Calculate the lowest common multiple of x and 2.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*o**2 - 21*o**2 + 15*o**4 + (40 - 4*o - 35 - 9*o)*(3*o**3 - o**3 + 0*o**3).\nAnswer: -11*o**4 + 10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36368884 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, i: 2}. Give prob of picking 1 i and 1 v.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 12:19 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1030 (base 11) to base 12.\nAnswer: -958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 331023738, 331023737, 331023736, 331023735, 331023734, 331023733?\nAnswer: 331023732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32519410 by 5.\nAnswer: -6503882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*v**2*w**2 + 2*v**2 + 3*v*w - 21*w**2 wrt v?\nAnswer: -62*w**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -64903724\nAnswer: -64903727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -288517, -1154058, -2596627, -4616224, -7212849, -10386502, -14137183?\n\"Answer: -288514*w**2 + w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2. Suppose -3*u - 9 = 5*y, 6*y - 6 = 3*y + 2*u. Let r(s) be the second derivative of -1\/3*s**3 + y + 0*s**2 + 7*s. Calculate f(r(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 20.856. Let j = u + -0.03. What is j rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3613 + 345 = -27*h + 199*h for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**4 + 7612*u**5 - u**4 - 7857*u**5 + (u**3 - 4*u**3 + 2*u**3)*(0*u**2 - u**2 + 3*u**2).\nAnswer: -247*u**5 + 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3+0.034373\nAnswer: -2.965627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 - 11*i - 1. Let w be r(6). Suppose 3*k + w - 158 = 0. Let y = 38 - k. Is -13\/4 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1222789 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4*a**3 - 59612*a**2 - 222069600*a + 222129216 = 0.\nAnswer: -7452, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1539 or -7699\/5?\nAnswer: -1539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -367 + 364. What are the prime factors of (-7 - d) + 17*31 + 1?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1505, -2749, -4007, -5285, -6589?\n\"Answer: -t**3 - t**2 - 1234*t - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 + 43 = 5*w. Let v be 10\/15*6\/(-4). Let t = w - v. Calculate the highest common factor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b6 (base 15) to base 2.\nAnswer: -10101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -186 + b6a?\nAnswer: 9b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4138881 to the nearest integer?\nAnswer: 2034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5 + 16*u**4 + 36*u**3 + 32*u**2 + 10*u = 0. What is u?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 6*r + 10. Let p be o(7). Solve 6*a - p*a - 3 = 0, -5*t - 5*a = -20 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.13, 7, 1\/3, 4, -2\/41?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56 + 21. Let f(d) = -6*d + 5. Let a be f(-7). Let m = o + a. What is the remainder when m is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5009353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -771829226*r - 681412746 wrt r?\nAnswer: -771829226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 326648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 139259358 to the nearest integer?\nAnswer: 11801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2475\/(-660))\/(10\/48).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((((-10)\/4)\/(-5))\/(884\/(-680)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 21*o - 9. Let v(c) = -11*c + 5. Calculate 6*i(z) + 11*v(z).\nAnswer: 5*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/72800 and 77\/1664.\nAnswer: 291200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -442245.465997 + 442246. Let w = c + -0.4440034. Let y = 0.09 - w. What is y rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yxyddyndyy. What is prob of sequence ddxd?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-12)\/m*m)\/(m\/(m**(-7)*m)))\/(m**(4\/13)\/(m\/m**(8\/5))) assuming m is positive.\nAnswer: m**(-1294\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -70*v - 2. Let p(i) = -36*i - 1. Calculate -3*l(q) + 5*p(q).\nAnswer: 30*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46291 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + -2 + 5 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*s - 11 = -6*i, -s + 3 = i. Suppose -63 - 797 = -i*h. Round h to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-132)\/63 - (-2)\/18*48\/56. Put q, -5, -24 in ascending order.\nAnswer: -24, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 129, 121, 109, 93, 73?\n\"Answer: -2*y**2 - 2*y + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/75 + -31\/75. Let n(a) = a**3 - 2*a**2 - a + 1. Let b be n(1). Is b smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394563.\nAnswer: 3, 13, 67, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 7*m + 4. Suppose 28 = -4*n + 4*i, -2*i - 2*i = 2*n + 8. Let y be w(n). Let c be (y + 2)\/(2 + -3). Let x(f) = -f - 1. Determine x(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -39*i - 159 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 15*q**2 - 5*q + 77. Let g be p(15). Let y(m) = m + 32*m**2 - 35*m**g + 1 - 65*m**3 + 64*m**3. Calculate y(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7467.353s in milliseconds?\nAnswer: 7467353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26972020 or -26972019?\nAnswer: -26972019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 270*t**2 - 2271*t + 20349. Determine c(-261).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 404*n*p**2*y - 4*n*p**2 + 6*n*p*y + 8*p**2 - 208*p wrt p.\nAnswer: 808*n*y - 8*n + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -6. Suppose 0 = -a + m*a. Let u = a - -14. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 15, -3*t + t - 100099795 = -5*i. Let r = -29649890 - t. Suppose 0*o + r = -3*o. What is o rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 1. Determine t(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvcccvcvccccccccccv. Give prob of sequence cvc.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*m**3 - 2*m**2 - 125*m.\nAnswer: -174*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*b + 431 - 119. Suppose 2041 - 421 = b*u. What is the smallest common multiple of 11 and u?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21\/51155 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48d (base 15) to base 3.\nAnswer: 1102021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u + 0 - 1 + 32118*u**2 - 32119*u**2 + 13*u**4 - 2*u**3 to q*u**3 + t + m*u**4 + k*u + o*u**2 and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 404*n**2 + 32*n - 19. What are the prime factors of w(-5)?\nAnswer: 3, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -13*r**3\/6 + r**2\/2 - 3*r. Let q be z(-4). Suppose 0*w = 3*w + 2*a - q, -55 = -5*w + 5*a. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-18) + (-1116)\/(-81). Calculate the greatest common factor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d**2 + 5*d - 4. Let t(p) = 15*p**2 + 11*p - 9. Determine -13*h(u) + 6*t(u).\nAnswer: -u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29423, -117657, -264699, -470549, -735207?\nAnswer: -1058673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 1595298?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 351410510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66*b**3 - 261*b**2 - 186*b + 9.\nAnswer: -3*(b + 1)*(b + 3)*(22*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**4 - z**3 + 5*z**2 + 2*z. Let u(d) = 5*d**4 - 8*d**3 + 33*d**2 + 16*d - 4. Let l(m) = -6*n(m) + u(m). Factor l(b).\nAnswer: -(b - 1)**2*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a hour?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1575 divided by 5.\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540) - (sqrt(540) + sqrt(540)*-2)) + -1*sqrt(1500))\/(sqrt(300) + (3*sqrt(300) - sqrt(300))*-4 - sqrt(300))*1.\nAnswer: -sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 77\/(-22)*105\/((-31395)\/46)\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/6)\/((-8316)\/72).\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04 - 1.96. Let j = -0.05 + -0.05. Which is the second biggest value? (a) j (b) f (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -121, -126, -131?\n\"Answer: -5*m - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(125) + sqrt(125)*-1) + sqrt(45)\/(sqrt(9) + -2*sqrt(9)) + 0)*-2)**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -316 divided by 4?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 186*k**2 - 2*k + 16. Let w be s(11). Round w to the nearest 1000.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1250, 4517, 9960, 17579, 27374, 39345?\nAnswer: 53492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 107 + 104 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24486283?\nAnswer: 23, 229, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - x**2 + x. Let i(l) = l**4 - 9*l**3 - 45*l**2 - 59*l - 18. Let r(z) = i(z) + 6*q(z). Determine p, given that r(p) = 0.\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/146 and -85\/144.\nAnswer: 10512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-6 - -3)*-1)\/3. Let s = -2 + 2.1. Which is the smallest value? (a) -4 (b) d (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*x = 3*n - 38276, -4*n + 76510 = x. What are the prime factors of n?\nAnswer: 2, 73, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -29*x + 744. What is the tens digit of p(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/204*-6*1.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0205? (a) 15\/7 (b) -5 (c) -4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w**2 + w - 1. Let y(g) = 3*g**2 - 2*g. Let z(x) = -2*m(x) - 3*y(x). Let i be z(5). Does 12 divide 48\/5*(-20)\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xdd when three letters picked without replacement from {x: 11, d: 3, z: 4}?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 11*a**2 + 11*a - 33. Let m be h(10). Suppose 0 = 5*l + 4*f - m, 275 = 5*l - 2*f + 86. Is 23 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-9) - 70\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4900 - 3116. Does 23 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 21. Solve -3*g - 15 = 0, -3*k + 6*g = j*g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 108150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -157*b**3 - 104*b**3 + 276*b**3 - 45*b to s*b + j + i*b**3 + r*b**2 and give s.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32454, -32489, -32508, -32505, -32474, -32409, -32304?\nAnswer: -32153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 5*o + 39*o**2 + 7*o.\nAnswer: 39*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/(-810))\/((-2)\/80)*((-96)\/28)\/(-4).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 + 9535*w**2 + 221840*w + 212300.\nAnswer: -5*(w - 1930)*(w + 1)*(w + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + u**2 + 4*u + 3. Let p be k(-2). Let a(z) = 3*z**3 + 21*z**2 - 4*z - 14. Let q be a(-7). Calculate the highest common divisor of q and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -4 (c) 0.2 (d) -3 (e) 135\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74*b**3 - 14*b**2 - 17*b**2 - 50*b**3 wrt b.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 480 + -447. What is the remainder when u is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113 - 23. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 627 divided by -19\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 1\/6*b**4 + 4*b**2 - 15*b + 7\/6*b**3 + 0. What is m(5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 + -60. Solve -4*u - 10 = 5*k - 0, 3*k - 31 = g*u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 13*b - 17. Calculate s(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - a = 2880, 2*s + 0*a - 5*a = 1458. Let h = 1259 - s. Let o = 2111\/4 - h. What is the common denominator of o and 7\/11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 25*l**3\/6 - 3*l**2\/2 - l - 138. Let d(x) = -x**2. Give p(d(z)).\nAnswer: -25*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 - 0.3. Let x be -4 + 1 + (-44)\/(-20). What is the nearest to 0 in 1, l, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 29\/5 (b) 1\/4 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2638819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2 - 35 = -5*s, -31 = -4*j - 3*s. Let m(q) = 3*q - 4*q + 3*q**2 + 6 - j*q**2. Suppose 0 = 13*t - 8*t. What is m(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y - 14*y + 2254. Suppose -y*f - 10 = -96*f. Sort -1, 1, -22, f in increasing order.\nAnswer: -22, f, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 9:08 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -206, -39, -30588 in descending order.\nAnswer: -39, -206, -30588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j + 3*x + 2 = -19*j, 3*j + 715 = -4*x + 729 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.3 + -1. Let h = -2.9 + b. Let d = h + 2.59958. Round d to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11650 is divided by 11636.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5*b**3 + 1 + 6*b - 16*b - 4*b**2 + 8*b. Let q be n(-1). Is (q + -2)*(-226)\/8*-14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p**3 - 540*p**2 + 544*p + 600. Determine o(-136).\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 559 = s - 175. Suppose -3*p + s = -p. Suppose -p - 525 = -4*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2080 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.37 - 16.63. Let a = u - -17.1. What is the closest to a in 4, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 16*o - 11*o - 4, -5*f - 5*o + 5 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 239, 420, 611, 818, 1047, 1304, 1595, 1926?\n\"Answer: r**3 - r**2 + 177*r + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 936523 is divided by 108.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -222?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 363\/5 - 73. Let q(z) = -5*z**2 - 12*z + 1. Let u(y) = 9*y**2 + 23*y - 1. Let a(t) = 7*q(t) + 4*u(t). Let h be a(-8). Put h, -2, d in descending order.\nAnswer: h, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4454*x**2 + 63*x - 364. Is t(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(264))\/sqrt(8))\/(sqrt(75)*-6).\nAnswer: sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*1*33\/12. Let k = r + 11. Suppose 2*i - 5 = -2*c + 7, k = -4*i. Solve -c = -4*p + 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22040 + -22045. Which is the nearest to -9? (a) k (b) 4 (c) -304\/5 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (19*-11 + 1). Suppose u = -2*g + 3*l, -4*g - 115 = -3*g - 5*l. List the prime factors of 6\/(-3) + g\/(-1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-6)*(-12)\/(-8). Suppose 11*o = -121638 + 121671. Solve -q*d + 1 + o = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3446 - 3405. Solve y*u - 10*u + 124 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 2*o**6\/3 + 88*o**5\/5 + 54*o**4 - 256*o**3\/3 - 254*o**2 + 456*o - 163. Find t, given that r(t) = 0.\nAnswer: -19, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -1768*g**3 - 182*g**2 + 182*g. Let m(c) = 90*c**3 - 1849 - 1853 + 3*c - 119*c**3 + 3702 - 3*c**2. What is -3*j(z) + 182*m(z)?\nAnswer: 26*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(-40)*8 + (-66)\/10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, -44, -110, -178?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + d + 45095, -t + 1652*d = 1654*d - 9030. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u**5\/7 + 75744*u**4\/7 + 75756*u**3\/7 - 75744*u**2\/7 - 75750*u\/7 = 0. What is u?\nAnswer: -1, 0, 1, 12625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0 = -3, 3*w = l - 9. Suppose l*d - 6*d = -762. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1196 = -13*q + 1092 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105622 is divided by 421.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d - 2. Let v be g(2). Suppose -5 - v = -p - 2*n, 0 = -2*p - 5*n + 28. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -9*t**2 + 261*t + 2898. Give o(41).\nAnswer: -1530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w - 66*w - 188 = -37*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/42)\/((-8)\/(-4)*4*(-7)\/2156).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -14 + -1 + (-1 - -2 - 1) + -29\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, m: 2, i: 1, b: 1, r: 2, k: 1}. Give prob of picking 1 k and 1 r.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wnnnfeeffmelnnw. Give prob of sequence nfw.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 2046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 + 114*c + 158*c + 39)*(3*c - 2*c + c).\nAnswer: 544*c**2 - 18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g + 7. Let p(k) = 8*k + 33. Let h be p(-5). Determine t(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -n**7\/126 + n**6\/90 + n**5\/60 - n**4\/36 + 7*n - 5. Let c(u) be the first derivative of x(u). What is m in c(m) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*-0.335.\nAnswer: 0.01675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -12*f + 1230. What is the tens digit of v(92)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/2, 1, 1\/4, 5, -32?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 347, -305, 0.0509.\nAnswer: -305, 0.0509, 2, 347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1620 - 356 + 5*z - 358 - 556 - 350.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 126382 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: Is 2137283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1090556 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, k: 6}. What is prob of picking 4 f?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7*r**2 - 2*r - 2. Let g be k(-1). Let d(c) = -c + 6. Calculate d(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00215175 rounded to 4 dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201120 + 112?\nAnswer: 202002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4020*r**2 - 7901*r**2 + 3876*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 12*y. Let n(v) be the third derivative of 13*v**2 + 0 + 0*v + 0*v**4 - 1\/12*v**5 + 0*v**3. Calculate n(g(p)).\nAnswer: -720*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/9 + 44*d**2\/9 - 280*d\/9 + 400\/9.\nAnswer: -2*(d - 10)**2*(d - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224891017?\nAnswer: 13, 17299309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 944?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -44 + 25 + 20 + 5*d. Let u(t) = 11*t + 10*t - 25*t. Determine -2*i(k) - 3*u(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**4\/20 + 22*r**3\/5 + 726*r**2\/5 - 522*r. What is b in u(b) = 0?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 292*o - 288*o. What is the second biggest value in o, -1\/2, -15, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 c when two letters picked without replacement from {f: 2, k: 1, c: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 172 and 248.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/(2\/(-9)*(-12 + 1025\/82)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 15 - (20 - (-7 - -10))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 7 - q + 2)*(1 - 2 + 3).\nAnswer: -2*q + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441 is divided by 61?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*f - f. Let a be ((-39)\/21 + 1)\/((-19)\/133). Solve -a = f*q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19439806.\nAnswer: 2, 17, 571759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -40*d + 6. Let y be c(-3). Suppose -42 = 2*l - 4*l. Calculate the highest common divisor of l and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164430 and 1421.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 80?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3, 31, 77, 141, 223, 323?\n\"Answer: 9*w**2 + w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -4 - -7 - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r - 6. Let b be g(-2). Suppose 0 = -x + b*x - 6. Solve -x*y + 4 = -0*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.14384 + 0.14384. Which is the closest to 1\/2? (a) n (b) 0 (c) 9 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -10012210102112?\nAnswer: -10012210102101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -2\/7, -133?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32.1 - 41. Let z = u - -9. Is z at least as big as 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2)*-85*7*4. What is the greatest common factor of 280 and y?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 10 = -7*s. Let n = -8 - -5. Sort s, n, 1 in increasing order.\nAnswer: n, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1189*l + 1246*l = -1026 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/4, 6, 3, -0.026, 0.04, -3, -44.7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24717)\/(-105) + (-4)\/10. Let d(r) = 117*r - s*r + 120*r. Let n(l) be the second derivative of -l**3\/2 - l. Give n(d(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**4 - 45*p**3 + 135*p**2 - 135*p = 0. Calculate p.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**3 + 50*a**2 + 192*a + 182. Let o(z) = -4*z**3 - 50*z**2 - 194*z - 181. Let i(g) = -2*o(g) - 3*s(g). Solve i(x) = 0.\nAnswer: -46, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(7\/16*3304\/(-28910))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + 1577 + -1566?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 14*x - 66. Determine b(-21).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768936637.\nAnswer: 7, 113, 167, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8905*d = -7750*d - 18480 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/(-9))\/(4\/(-6)). Let v be (2\/(-3))\/(g\/(-96)). Let r = -11 + v. What is the remainder when 8 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjjn when four letters picked without replacement from dnujtjgtggdttgt.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*q + 8*q. Let w = 224805 + -215138168\/957. Let r = w - -4\/87. Which is the biggest value? (a) q (b) -0.5 (c) -5 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -35 in -1\/4, -2, 0.3, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*k = -2379*k + 66*k + 7967 - 66199 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 88656*v**2 - 2*v - 94.\nAnswer: 177312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 733*g**6 - 36490*g**4 - 3*g**3 - 19*g**2 - 7305142.\nAnswer: 87960*g**3 - 875760*g - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.199587 - -16.104. Round z to three dps.\nAnswer: -0.096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 s when two letters picked without replacement from {y: 3, j: 2, l: 3, s: 3, p: 1, t: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -46300 divided by -2?\nAnswer: 23150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 63 = 23*i. Suppose -2*d = 2*g - 10, -i*g + 1 = -3*d - 2. Solve n + d*r = -6 - 5, n + 3*r = -15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2490 is divided by 27?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8748 and 6?\nAnswer: 8748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/4 + ((-1948)\/(-16) - -2). Let c = d - 110. Calculate the remainder when 40 is divided by c + (-4)\/1 + (0 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -323 (base 9) to base 5\nAnswer: -2024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 211143 (base 5) in base 4?\nAnswer: 1232020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 981 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 31994527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/13, 4, -1\/7 in increasing order.\nAnswer: -1\/7, 12\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1103 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 2*m**3 - m**2)*(-7*m + 3*m - 5*m) + (m**2 + 0*m**2 + m**2)*(4*m**2 + m**2 - 3*m**2).\nAnswer: -14*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -25132 - -4?\nAnswer: -25128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2\/6325, -0.4, -3, -1, -5\/3?\nAnswer: 2\/6325","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*n**2 + 9815403*n - 316626 = 0. What is n?\nAnswer: -105542, 1\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 44040957 to the power of 1\/2, to the nearest integer?\nAnswer: 6636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijjiojiijoj. What is prob of picking 3 j and 1 i?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*o + 29*o - 644 = 56 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162695447 to the nearest integer?\nAnswer: 12755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1477987535?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2)**49 assuming j is positive.\nAnswer: j**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1093*l - 3391*l - 121068 = 0 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/(-91))\/((-12)\/(-42)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -23. Suppose -u*t - 2*h + 3*h = -10, 0 = -3*t + 5*h + 14. What is the third derivative of 6*i**2 + 19*i**4 - 12*i**3 + 12*i**t wrt i?\nAnswer: 456*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 89612*d**3 + 2561164*d wrt d?\nAnswer: 537672*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 13 + (-14 + 2 - 2) - 9?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 592 divide 146816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27172467 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1615, 6, 38 in descending order.\nAnswer: 1615, 38, 8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x - 7952 - 2304. List the prime factors of x.\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1857*0.069\nAnswer: 128.133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-3)\/6)\/((-2)\/20) is divided by (4\/(-1))\/(4\/(-5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 2, f: 2, w: 3, b: 1, x: 10}. Give prob of picking 1 b and 1 f.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-198)\/(-45) - (-3)\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4709663303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.007*2188.\nAnswer: -15.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*m + 5*x = -61*m - 177, 190*m + 2*x - 10022 = 58*m for m.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 3:31 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2130044 (base 5) to base 14\nAnswer: d310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2ba109 + 2?\nAnswer: 2ba10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + u**2 + u + 4. Let f be k(0). Suppose 3*a = f*t + a - 114800000, t - 5*a = 28700000. What is t rounded to the nearest 1000000?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 2:23 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*n - n**2 - 72*n - 6*n**2 + 133*n in the form v*n**2 + c + x*n and give x.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(330\/81 + -4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77 - 57. Let i(q) = -3*q - 1. Let x be i(-1). Let y be (72\/a)\/(x\/10). Calculate the highest common divisor of 144 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*t + 6 - 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (2*sqrt(171)*-2)\/(sqrt(9) - sqrt(72)\/(sqrt(8) + sqrt(200)))) + 3.\nAnswer: 12 + 72*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -134 + 49 + 10?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249 = -61*i + 39 - 522 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*j + 4*j - 2*j)*(0 - 2 + 4) - 2*j - 4*j + 7*j)*(-1 + 3 + 7).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 - -37.2. Let u = 6.88 + -0.08. Let s = u - 0.8. What is the third biggest value in 3, v, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -6 (c) -151 (d) 2 (e) -1 (f) 0.6 (g) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvv. What is prob of picking 3 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50\/97 or 1?\nAnswer: 50\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/4 - 63\/(-28). Let z(y) = -p*y - 4*y + 6*y - 4 + 0. What is z(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 0*m**2 + m + 3*m**3 - 4*m**3 + 6*m**2 - 2 + 0. Let y be k(6). Suppose -66 = n - y*n. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - c**2 + 4*c**2)*(0 + 3*c**3 + 0 + 0*c**3 + 3*c**3 - c**3 + (2 - 2 - c**2)*(0*c - 3*c + 4*c) - 13*c**2 - 23*c**3 + 13*c**2 - 3*c**3 - 7*c + 7*c).\nAnswer: -110*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 333094 and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 33608\/5 (b) -4 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**3 + 3*b**2 + 5*b - 2. Let f(o) be the third derivative of -o**6\/120 + o**5\/60 + o**4\/24 - 14*o**2 + 25. Calculate 3*f(i) - s(i).\nAnswer: -5*i**3 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -1.2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19189*y = -87418 + 2895 - 1565731 for y.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s - 79 = -d, 5*d - 411 = -3*s. Solve -3*q - 66 + d = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wv when two letters picked without replacement from vvvvvvwwvtvvv.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1664 and 296252632?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -56*h + 50*h - 6 - 13*h**2 - 7*h**2. Let d be l(-5). Is 7\/(-35) - d\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1491 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-2) - (-21)\/(-7). Suppose 5*y = z + 7 + t, 5*z = 3*y - 1. Suppose 0 = -4*j + 2*j - y*l + 34, 0 = j - 2*l - 11. Solve -m = -6*m - j for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 6:40 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -12. Let p = 1 + c. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-19)*-2 + (-1284)\/(-76). Suppose z - 19 = -4*h, -3 = -z - 5*h + g. Calculate the highest common factor of z and 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/3 + 12)\/(-33 - -9 - -25)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 25\/2 of a micrometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 4. Let g be 3*35\/5*(-15 + -2). Let l = -355 - g. Calculate h(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/11)\/(w\/(w\/(w\/(((w\/((w\/(w*w**(18\/7)))\/w))\/w)\/w)*w)*w)))**(5\/14) assuming w is positive.\nAnswer: w**(535\/1078)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*g = -65*g - 2547. Suppose 5*f + 5*x = 9*f - 3296, 5*x - g = -f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/2)*o*o)**(-25)\/(o*o**0*o)**37 assuming o is positive.\nAnswer: o**(-273\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6\/(b*(b\/(b*b*b**(3\/4)\/b*b*b*b))\/b))\/(b*b**(-2)*b*b**6) assuming b is positive.\nAnswer: b**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o**2 + 9*o**3 - o**4 + 1 - 6*o**3 + o**2 + 4*o**2 in the form t*o**2 + c + l*o**3 + a*o + d*o**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79 + -32. Suppose b + 41 = m. What is the remainder when m is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*t = -15. Suppose t*d + 5 = 0, 6*d = -i + 3*d - 1. Solve i*q - q + 3 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-6))\/((-1)\/(-12)). Suppose -4*u = 5*b + 3 - 18, 0 = 2*b + u - d. Suppose -b*k + 133 = -50. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/12 and 13\/228?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3*t - 3*s + 87, 4*t = -2*s - 166. Let k = 90 - t. Let o = k + 17. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*p + 379 = -309 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2\/9 - 1849322*x\/9 + 3082195\/3 = 0. Calculate x.\nAnswer: 5, 1849317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65149?\nAnswer: 7, 41, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1399, 1420, 1461, 1528, 1627?\n\"Answer: f**3 + 4*f**2 + 2*f + 1392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39.474 + 4.\nAnswer: -35.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + 5 + 2 - -3) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 296, -0.2, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 32. Calculate the smallest common multiple of 24\/(-56) - 31\/(-7) and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-6)\/(-9)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1686 and 0.4.\nAnswer: 674.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 206848 and 9696?\nAnswer: 620544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 2460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x - 3. Let z(b) be the second derivative of -b**5\/20 - 5*b**4\/12 - b**3 - 5*b**2\/2 + b. Let p be z(-4). What is the units digit of q(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.54 - 3.04. Put d, -2, 3, 4 in descending order.\nAnswer: 4, 3, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -129*l**2 + 3993*l - 13889. Determine x(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4 + 1)*(-5*v**2 - 3*v**2 + v**2).\nAnswer: -77*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12231883873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6*q + 27. Let z = -9 + 13. Let c be d(z). Does 12 divide (-9)\/12*(-288)\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + -3. Let i = -1 + 1. Suppose -z - 4*d - 8 = 0, -2*z - 3*d - 6 = -i*d. Sort z, a, 1 in increasing order.\nAnswer: a, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 5 (b) -1 (c) -3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 14*q**2 + 51*q + 719. Calculate f(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -221\/3 + 167\/2. Which is greater: k or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 + 426*o**2 + 5*o**3 - 161*o**2 + 224*o + 4*o**3 - 8*o - 154*o**2 = 0. What is o?\nAnswer: -10, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -w - w - m, -4*m = 3*w - 16. Let x be (-8)\/4*-4751 + -2. Suppose o + w*o + x = 0. Round o to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1146 or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + -2. What is the tens digit of (-52)\/(-3)*(-30)\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2101317 (base 9) to base 15\nAnswer: -172ab4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-334)\/((-66)\/(-14) + -5). Let l = 8 + s. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26696, 3, 1, -2.\nAnswer: -26696, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15981\/840 - 19)*4. Factor -1\/10*g**2 + 0 - 1\/5*g + c*g**3.\nAnswer: g*(g - 2)*(g + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 3710980472701.\nAnswer: 3710980472701.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-4 - 16\/(-9))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 534786 or 534787?\nAnswer: 534786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 2:36 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 2\/5*q**3 + 9\/10*q**2 - 9\/25*q**5 - 3\/10*q**4 - 1\/10*q**6 + 3\/5*q + 6. Find s, given that w(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3148\/9 + -72674\/207. Let x = g - 383\/253. Let v = 210 + -2093\/10. Calculate the common denominator of x and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24199623 is divided by 410163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 2 = -7, 0 = -n + 3*a - 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 7*r - 6. Let q be l(5). Suppose 2*u - 101992 = 2*d, 0 = -q*u - 11 - 5. What is d rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 - -0.02. Let r = 0.06 + k. What is the closest to r in 0.5, 1, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -374 + 376. Suppose 5*r = -f + 952, g*f - 3*r - 3854 = -2*f. What is f rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 13 = -11. Let h(a) = -a**3 - 3*a**2 + 3*a + 10. Let c be h(u). Is 655\/c*30\/150 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 0*n**2 + 8*n + 2*n**2 - 4*n. Let x be 135\/75 + 1\/5. Let j(w) = 4*w**x + 1 - 14*w + 18*w + 5*w. Give -5*g(t) + 2*j(t).\nAnswer: -2*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 40. Let a be 22\/10 + -2 + (-21308)\/140. Let c be 19\/a + 290\/y. Calculate the highest common divisor of 18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1223 - 1188. Calculate the least common multiple of 225 and l.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.078889 rounded to 3 dps?\nAnswer: 0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gn when two letters picked without replacement from {n: 5, j: 1, g: 3}?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/64080 and 101\/300.\nAnswer: 320400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 10:08 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - ((2 - -1) + (131 - 145) - -5)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) 1\/2 (c) -0.3 (d) -0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 830 by 5.\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*h + 127 = 0, -r - 2*r - 4*h + 64 = 0. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 1. Let x be i(-6). Let m = 11 - x. Does 2 divide (-14)\/(-4) + 3\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 6*r - 5. Let x be m(5). Suppose 0*v - 3*v = -x*v. Let u be v*4\/20 + 6. Solve 11*h + 15 = u*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/24*12\/9. Let p = -6 + 10. Let v(b) = b**2 - 4*b - 1. Let j be v(4). What is the nearest to j in a, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/2*6\/(-2). Let z(b) = -b**3 - 5*b**2 - 2*b - 9. Let w be z(-5). Find the first derivative of k*d**2 + 4 + 2 - w - 6 wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202304341 (base 6) in base 4?\nAnswer: 31100312011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 83842 and -6.\nAnswer: 83836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, c: 5}. Give prob of picking 2 p.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36\/341 + -329927\/1705. Let w = 194 + u. Is 1 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a week in seconds?\nAnswer: 45360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/(-50))\/((-6)\/10))\/(39\/(-702))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 4 - (-6 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/26616 and 45\/2.\nAnswer: 26616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 12 = -3*m + 5*f, 3*m - 2*f - 1 = 0. Let u(d) = -d - m*d - 2 + 6*d - d. Let z = -2 - 4. Let p(b) = -2*b + 4. Determine z*p(s) - 11*u(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 11*t + 20. Suppose 30*y + 4*d - 80 = 21*y, 50 = 3*y - 2*d. Calculate r(y).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.81 + -0.09. Let o = l + -0.1. Let j = 453 - 4081\/9. Which is the smallest value? (a) -2\/13 (b) j (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpss when four letters picked without replacement from {p: 1, l: 6, s: 11}.\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29356, -51280, -73202, -95122, -117040, -138956?\nAnswer: -160870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from xininiioixniin?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u + 62. Let r be q(21). Which is the closest to 0.2? (a) -1\/18 (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*-1*-5 + sqrt(14)\/(sqrt(8)\/sqrt(4)) + sqrt(7).\nAnswer: 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - 33. Solve 0 = 3*l - i*f - 23, 4*l - 4 = -5*f + 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*h - 9 = -0*h, -5*t - h = 3. Suppose 7 + t = -k. Let g = k + 5. Which is greater: -3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 - (-172 + 135 + 30 + 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 - 65. Calculate the remainder when 2\/(8\/k*20\/(-136)) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(84) + -5*sqrt(84)*2 + (sqrt(84) - 2*sqrt(84))*2)\/(1*sqrt(1728) - (sqrt(12) + (-2*sqrt(72))\/sqrt(6))).\nAnswer: -44*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8533122 is divided by 328197.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/(d*d**(1\/2)))**(-6\/11)\/(d**3\/d**(-1\/11))*d**(-8)*(d**(-1)\/d)\/d*(d*d**(-8))\/(d\/d**(-2\/3)) assuming d is positive.\nAnswer: d**(-778\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -1170*c + 16367. Give x(14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 + 38 + 35)*(-2 + 3*a + 2) + (6 - 2 - 3)*(-718 + 24*a + 359 + 361) as l + u*a and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7859 and 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 494843230*r**4 - 18*r**2 + 7989724*r + 2 wrt r?\nAnswer: 11876237520*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67.6 + -68. Let y be (2 - 44\/26)\/2. Which is the fourth biggest value? (a) -5 (b) y (c) s (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/39203 - -39363\/3136240. Let c(j) be the second derivative of -12*j + 5\/8*j**3 - j**2 + 0 - o*j**5 - 1\/8*j**4. Solve c(l) = 0 for l.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*o + 48 = 0, 0*v - 5*v - 5*o + 80 = 0. Let s(j) be the first derivative of 3*j**2 - 7*j + 3. Calculate the remainder when s(8) is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3835984 = -2*b + 4*r, -7*b = -5*b + 5*r - 3836020. What is b rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41550 (base 6) to base 9\nAnswer: 7623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 10*z + z**3 + z - 4*z**2 - 7*z = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five halves of a century?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*u + 3. Suppose u*f - 5 = 1. What are the prime factors of 59 - f*6\/4?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 16 + 74. Suppose 0 = 4*g + 4*t - 8, -5*g + 3*t + 2*t = 30. Is j smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**4 - 8 + 8)*(-2 + 2 + 4) - 6*m**4 - 32*m + 32*m.\nAnswer: -22*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 17361551 = 5701739. Let z = r - -19238423. Let j = 3706778 - z. What is j rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29370*1.4173\nAnswer: 41626.101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b (base 14) to base 13\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1629946 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 q(t) = -7*t + 4. Let j(r) = -15*r + 7. Let p(a) = -6*j(a) + 13*q(a). Let o be p(8). Let m(b) = b + b**o - 5*b + 0*b. What is m(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5934 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -26. Suppose -2*a + 51 = 31. Let r be k\/a + (-1 - 96\/(-135)). What is the second biggest value in 18, 2\/11, r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5 = 2*a + 1, -4*h - 3*a + 2 = 0. Which is smaller: h or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4276*d + 86081 + 55027 for d.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -511, -515, -519, -523?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzmo when four letters picked without replacement from {j: 4, o: 1, z: 2, m: 9}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v + 14*v - 10. Let h = 2.93 + 0.07. Let t = h + -2.5. What is the nearest to -2 in 3, v, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -911a - 2238?\nAnswer: -b353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) 0.05 (c) 4 (d) 8 (e) 11 (f) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77066817 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 43562240 (base 8) in base 10?\nAnswer: 9364640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 2*o - 40, -72 = 3*q - 3*o - 114 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*l - 3. What is the smallest common multiple of (-46)\/(-10) - 2\/(-5) and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**3*j - 14*a**3*w**2 - 38*a**2*j - 2*a**2*w**2 + 2*a*j*w - j wrt a.\nAnswer: 12*j - 84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*j**3\/2 - 492099*j**2\/10 + 172971744*j\/5 + 988418\/5.\nAnswer: (j - 1406)**2*(175*j + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25488.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -20417246 divided by 2?\nAnswer: -10208623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1\/19 (b) 3\/109 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-21)\/l)\/(l**3*l))**(-2\/33) assuming l is positive.\nAnswer: l**(50\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 1. Let m(t) = -2*t**2 + t - 2. Let g be m(1). Let y be 15\/20*g\/(-9). What is the closest to 2 in f, y, 2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4637*w + 4647. Give l(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1674437274 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/50*90\/(-27). Which is the closest to 1\/2? (a) 0 (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -3. Let g be 1 - k\/(5 + -2). Let o be (-3)\/g + 11\/2. Let j(w) = 3*w - 4. Let a(d) = -2*d + 3. Give o*a(s) + 3*j(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 9 + 63 = 0. Let a be g\/(-45) - 64\/(-10). What is the greatest common factor of a and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2481 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-36)\/(-2)*3\/6. Do -1 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -655.9997496 - -656. What is d rounded to 5 decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -1.3\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 13*a**2. Let u(y) be the third derivative of -y**5\/20 - 12*y**2. What is u(v(w))?\nAnswer: -507*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69 by 21057.\nAnswer: -23\/7019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3908*p = -2582 + 29938 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68264949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 10*h + 9. Let g be n(-11). Let x(p) = -7*p**3 + 2*p. Let l(i) = -36*i**3 + 11*i. Determine g*l(m) + 11*x(m).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/291 and -37\/10265607.\nAnswer: 10265607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpgw when four letters picked without replacement from {g: 6, w: 2, m: 3, p: 4}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**6\/3 + 2*u**5\/5 - u**4\/2 - 2*u**3\/3 + 4. Factor z(s).\nAnswer: 2*s**2*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -5*v - 3*u - 4, 0 = -2*u - 6 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 3*g**2 - 4*g - 8. Let l be d(-4). Suppose -5*o + p + 1678 = 0, 0 = 4*o + 2*p - 1454 + l. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 - 41. Suppose 0*j = -p*j + 846. Let w = j - 52. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3 + 6*b**2 - 18*b - 14. Give g(6).\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**37\/u**27)\/(u**(1\/55))**(-8\/5) assuming u is positive.\nAnswer: u**(2758\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/45 and (-89)\/(-14)*((-3)\/3)\/(-1)?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 678484 and 280752.\nAnswer: 8141808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 17 + 3 + (-4 + 5 + 0)*(1 + 1 - 3) + 2 + 1 - 1)*(1 + 3 - 6)*(7*c**4 - 3*c**4 - 3*c**4).\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33208 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17347\/4 + 4360. Find the common denominator of 131\/174 and u.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -2 - (-5 - (0 - -4) - -12)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*p + 5035, -u + 147*p = 143*p - 5041. Is u a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h = 5*n - 18*h - 7795, h = 3*n - 4673. Suppose -1562*s + 40 = -n*s. Solve 4*w - 2*k = 2*w - 8, 3*w - 2*k = -s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-44)\/(-6) - 199\/597. Let y(i) = 3*i - 23. Determine y(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 770 (base 10) to base 15\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 26. Suppose -2*i = -y*i + 20. Calculate the remainder when i is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391686 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 11 - 3 = 4*h, -4*h = 3*n + 23. Let k(f) = -f**3 - 8*f**2 + 3*f - 9. Let r be k(n). What is the units digit of 309\/r + 2\/15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432235 + 12015?\nAnswer: 444250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 94571.23l in millilitres?\nAnswer: 94571230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -0*k + 3*k - 3, 4*b + 3*k = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7473 and 2585.\nAnswer: 411015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-8)*(-4)\/(-39)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 15 = 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58441*l - 59319*l + 107116 for l.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkt when three letters picked without replacement from {v: 3, k: 3, a: 3, t: 3, d: 2}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 - 4*y**2 + y**2)*(15*y - 52*y**3 + 51*y**3 + 2*y).\nAnswer: 3*y**5 - 51*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 297 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3)*(-7 + (13 - 3)). Put 3, y, 9 in increasing order.\nAnswer: y, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -15*x**2 - 2*x + 14. Let k(j) = -75*j**2 - 11*j + 70. Let m(f) = 2*k(f) - 11*n(f). Differentiate m(y) wrt y.\nAnswer: 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 2*p + 6*p)*(p + p**2 - p + (-2*p**2 - p**2 + p**2)*(18 + 25 - 11)).\nAnswer: -441*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 435, 4639, 11637, 21429, 34015, 49395?\nAnswer: 67569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-4))\/((-5)\/(-2780)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 36 = -3*m + 80, -183 = -6*m - 3*v. Let a(y) = y**2 + 2*y. Let g be a(-2). Is m at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-21)\/2)\/(3\/6). Let u = 9 - p. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(136)*3)\/(3*(sqrt(8) - sqrt(128))) + -1.\nAnswer: -2*sqrt(17)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 200 = 5*s, -s - 4*q = -q - 42. Suppose -s = -3*t + 6. Let x be 8\/20 + 84\/t. Solve 2*v = -v - x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 9*z - 79. Solve 3*u - z = n + 5, u = 4*n - 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3, 24, 93, 234, 471?\n\"Answer: 4*l**3 - 7*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54586209 and 6377.\nAnswer: 382103463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 - 68*q**2 - 42 + 20 + (q**2 + q - q)*(1 - 1 - 2) in the form w*q**2 + d + t*q and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/5, 2, 0, 3, 815?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4}. Give prob of sequence zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 2:05 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/400 and 149\/360.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -97 + 99. Sort 0.1, d, -2\/11, 0.3 in increasing order.\nAnswer: -2\/11, 0.1, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57862?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, -4\/325, 24389?\nAnswer: -4\/325","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47 - -9) + (21 - 5) + 1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1708\/2989)\/((-4)\/(-14)). Sort 0, u, -4, 19 in descending order.\nAnswer: 19, u, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15427492214 plus -1?\nAnswer: -15427492215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1 - (12 + -12 + -9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 2, -2, -0.2, 2\/1413.\nAnswer: -2, -0.2, 2\/1413, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 14*q + 16. Suppose -p + 4*x - 9 = 0, 2*p = -p + 2*x - 37. List the prime factors of d(p).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6103*-0.6.\nAnswer: -0.36618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 8*l - 2. Let z be y(-7). Factor c**3 - c**4 + z*c**2 - 3*c**2 + 0*c**2.\nAnswer: -c**2*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/19))\/((o**(2\/3)*o*o)\/o))**16 assuming o is positive.\nAnswer: o**(-512\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 255865 less than -39319?\nAnswer: -295184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*(sqrt(847) + -1).\nAnswer: -44*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 2*p**2 + p + 13. Suppose -3*n - n = 3*m - 38, n - 2 = 3*m. Let o be (n - 2) + ((-12)\/(-3) - 10). Determine c(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 656, 1310, 1964?\n\"Answer: 654*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.32 from -16624.\nAnswer: -16619.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7397, -20, 2, 3 in increasing order.\nAnswer: -20, 2, 3, 7397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 94995 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 500471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -779 + 819. Calculate the remainder when m is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 722 + 120. Let f = 10952\/13 - z. Let t = f - 43\/65. Is t < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/6 and -38\/93.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2 - 46*i - 165. Let p be c(-18). Let v(x) = -55*x**3 + 15*x**2 - 15. Let y(t) = 8*t**3 - 2*t**2 + 2. Give p*y(w) + 2*v(w).\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 228733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5786.4428 rounded to the nearest one hundred?\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 1156, 3779, 8570, 16177?\nAnswer: 27248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 - 27*v + 8. What is d(16)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -443 (base 7) to base 5\nAnswer: -1402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, r: 10, q: 2}. Give prob of picking 2 r and 2 w.\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 4 (c) 3\/5 (d) -60 (e) -731\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v - 2. Let y(r) = 2*r**2 - 13 + 13 - 64*r + 64*r. Calculate y(p(o)).\nAnswer: 32*o**2 - 32*o + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -56, -57, -66, -89, -132, -201, -302, -441?\n\"Answer: -l**3 + 2*l**2 - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -33 - 268. Suppose 324 + c = 5*l. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**2 + 906*d - 205209 = 0.\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 10*v + 6. Let d be s(9). Suppose -5*t + j + d = 0, 6 = -t + 3*t + 2*j. Let p(o) = -1 + 2*o - 2*o**2 - 1 + 5 + 1. Calculate p(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**1*h*h*(h*h\/h**(-2))\/h)\/(h**(-1\/3))**(1\/8))\/((h\/h**0*h**7)\/((h\/((h\/(h*h**(2\/5)\/h))\/h)*h)\/h)**49) assuming h is positive.\nAnswer: h**(7877\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -529?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/27, -2\/3, -720\/53.\nAnswer: -720\/53, -2\/3, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1)*m*m**2*m*m**(2\/13)*m**(2\/9)\/m assuming m is positive.\nAnswer: m**(278\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 7*w**2 - 7*w + 4. Let i(d) be the second derivative of -d**3\/3 + 7*d**2 - 19*d. Let u be i(8). Let v be (3\/u)\/((-7)\/28). What is t(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 18*q = 16*q + 12, -27 = -3*l + 3*q. Is 3\/(-4)*(-618 - l) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012860381 to 6 dps.\nAnswer: 0.000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-503*f + 140*f - 21*f - 425*f + 118*f)*(3 - 2 + 2)*(35 - 5*f - 35).\nAnswer: 10365*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75069 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*l = -12, 3*z = l - 3*l + 2. Let a = -119 + 124. Suppose z*m + 24 = d + 2*d, -a*d = 4*m - 40. What is the highest common factor of d and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*t + 16 = -40*t. Suppose -3*b + 4*b - 1227 = -t*p, -5*b = 5*p - 3055. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -21647*r + 584469. What is p(27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01573 in -3, -0.1, -0.68, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 303 = -159. What is the remainder when 93 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 719, 1443, 2167, 2891, 3615, 4339?\nAnswer: 5063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 6:29 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*1*552\/(-1288).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*k - 135 = 0, -z + 45 = -2*z - 3*k. Let a be z + 6 + -1*1. Round a to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -305, -1225, -2759, -4907?\nAnswer: -7669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from evgtevgegegttt?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102 + 128. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(3\/(-6)) + (-2412)\/1072.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.6 + -1.6. Let h be 8\/(-150)*3\/(-2). Sort h, -1\/6, -4, n in increasing order.\nAnswer: -4, -1\/6, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 295*2 - (-80)\/(-16). Let r = 865 - q. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 11, c: 1, i: 3}. What is prob of picking 2 d, 1 i, and 1 c?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*c - 33, -22 = c + f - 28. Let j(n) = -8*n**2 + 2*n. Let o(p) = -p + 1. What is c*j(y) + o(y)?\nAnswer: 8*y**2 - 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + y - 1. Let n(j) = 2*j**3 + 1. Let z(q) = -2*q**3 + 4*q**2 - 4*q + 2. Let u(m) = -2*n(m) - z(m). Give 4*a(o) - u(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 23*f**2 + 24*f - 3. Let v be k(-3). What is the highest common divisor of v and 180?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/29527 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/(-48) + 2 + 26\/(-6). Let d(m) be the second derivative of m**4\/12 + m**3\/3 - m**2\/2 - m. What is the units digit of d(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -116212 - -46212. What is m rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79572 + 79569. Let f = 2\/277 + -845\/1939. Which is the third smallest value? (a) 0 (b) o (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29.8 - 29.4. Which is the second smallest value? (a) g (b) -42 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23033, 23017, 23001?\nAnswer: 22985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 2 + 1 - 3 + 0 + (0 + 2 - 1)*(-3 + 3 + 1) + 2 - 4 + 4)*(-53 + 53 - 5*i) as f + j*i and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20944?\nAnswer: 2, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/4 - 370*m**3 + 13104*m**2 - 156384*m + 623808.\nAnswer: (m - 1444)*(m - 12)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 336041\/18 + -18664. What is the common denominator of 2 + (1450\/(-24))\/5 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -67417 - -21?\nAnswer: -67376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, b: 9, h: 4}. Give prob of sequence hbb.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 144 - 1294\/9. What is the closest to n in -3\/7, -7, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1920bc (base 15) in base 9?\nAnswer: 2262146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-24)*(-1)\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**2 + 11. Let z(q) = -55*q. Give j(z(t)).\nAnswer: 12100*t**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1141 and 5216?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/1715 and 2\/25235.\nAnswer: 176645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3586, -3593, -3600, -3607, -3614, -3621?\nAnswer: -3628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/6 - (-35)\/(-150)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 14*b - 228. Calculate i(-24).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1158358?\nAnswer: 2, 579179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*m + 1, -f = 2*m - 5*m + 1. Let w = 1 - m. Suppose -312*z + 309*z = -6. Solve w = -l - z*l + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19557 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 27 + 13. Let c = 1.4 + -0.4. Which is greater: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4701\/90124 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1\/5, 3, 1\/459, 2 in descending order.\nAnswer: 3, 2, 1\/5, 1\/459, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8\/25 of a kilometer?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3 - 5*c + 104*c**2 + 2 + c + 3*c. Let l be i(-1). What is l rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105810362 a multiple of 895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*g = 11, -33*g = -3*x - 38*g + 4. Solve 3*m - h + 29 = x*h, -5 = -h for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**3*u**2*y**2 - 18*i**3*u**2 + 150*i**3*u*y**2 - 3*i*u*y - 2*u**2 wrt y.\nAnswer: 2*i**3*u**2 + 300*i**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4184 at most as big as -185184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 353 - 356. Which is greater: -13\/5 or p?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 94 + (-8 + 17 - 3) + -33?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -309416 - 0.5?\nAnswer: -309416.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83433 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 5*c - 3. Let s be r(-6). What is the third derivative of -2*b**s + b**2 + 2*b - 2*b wrt b?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-8))\/(8\/((-64)\/18))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -2\/13, -0.2, 679, 1\/7, 1\/18181?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -3*f - 2*i, 12 = -f + 3*i - 4*i. Let z(r) = -6*r**3 - 8*r**2 - r + 14. Let m(t) = 7*t**3 + 8*t**2 - 15. Let h(a) = 5*m(a) + 6*z(a). Determine h(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 262.9, 1\/3, -0.08, 1, 0.1 in increasing order.\nAnswer: -0.08, 0.1, 1\/3, 1, 262.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2\/5, 8381\/14 in ascending order.\nAnswer: -2\/5, 8, 8381\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 6*c**2 + 2. Let v = -13 + 43. Suppose -29*j = -24*j - v. Let g be t(j). Solve -3*x = g*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 3:38 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11002222120111 (base 3) to base 5\nAnswer: -1024401002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b - 4*b**2 + 2 - b**2 - 4*b. Let m(k) = -5*k**2 + 3 + 2*k**2 - 7*k - 3*k**2. Suppose 12 = 5*y - 8. Calculate y*m(g) - 5*f(g).\nAnswer: g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5750120*l**2*x - l**2 - 5251856 with respect to x.\nAnswer: -5750120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 19*c**7\/210 - 5*c**3\/6 - 13*c**2. What is the first derivative of i(t) wrt t?\nAnswer: 76*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -40*k**5 + 23585926*k**4 - 3476827590888*k**3 - 6432218842050*k**2 + 1043061367500*k = 0.\nAnswer: -2, 0, 3\/20, 294825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 4*t - 24, -429*t + 3*d + 56 = -425*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3205*j = -3052*j + 315285 - 58748 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((79 - 81) + -1 + 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -196 + 200. Factor 33*g**2 - 2*g**3 + 33*g**z + 5*g**5 + 180*g - 53*g**3 - 43*g**4 + 27*g**2.\nAnswer: 5*g*(g - 3)**2*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 1 + 33)*(0*k**2 + 3*k**2 - k**2)*(k + 2 - 2).\nAnswer: 108*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9541.82 less than -235268588?\nAnswer: -235259046.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81089.\nAnswer: 131, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -754*v**2 + 0*v + 0*v + 736*v**2.\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 0*t**3 - 4*t**2 - 1\/20*t**5 + 1\/3*t**4 + 0*t + 0. What is the second derivative of b(n) wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5648957 divided by 4?\nAnswer: 5648957\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 763945 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6*q + 3. Let t(s) = s - 1. Let v(w) = -3*t(w) + y(w). Let x = -214 - -208. Let l(b) = 2*b + 5. Let n(g) = x*v(g) + 7*l(g). Give n(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 106, 81, 52, 19?\n\"Answer: -2*s**2 - 19*s + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -61, -57, -53?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 88\/2197 or -0.19?\nAnswer: 88\/2197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959990413 a multiple of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1905 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1129692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -3165.3.\nAnswer: -15826.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1712, -4130, -8158, -13796?\nAnswer: -21044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 374886*k**5 + 73*k**4 + 3930*k**2 + 8170 wrt k?\nAnswer: 22493160*k**2 + 1752*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 935653.2 litres to millilitres.\nAnswer: 935653200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31825825.\nAnswer: 5, 1273033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1660960630 to the nearest integer?\nAnswer: 40755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - l**3 + 2*l**2)*(3 + 2 - 3) - 2*l**3 + 3*l**3 - 3*l**3 + l**3 - 3*l**3 + 3*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d**2 + 70*d + 66. Give r(14).\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2*z + 6, -5*z = 5*g - z + 10. Let o be (-27 - -12)\/((g - 4)\/2). Suppose -o + 11 = -2*u. Solve -k = 1 - u for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6 = 5*l, 4 = -2*c + 4*c + 2*l. Let i(o) = o**2 - 4*o + 3. Let u be i(3). Suppose k = -g - 8, 2*k + u*g - 8 = 4*g. Sort c, k, 2 in descending order.\nAnswer: 2, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.8 + -2. Let q = x + -0.2. Let i = 0.1 + 0. Which is the biggest value? (a) i (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f + 106417 = 297564. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 - 29480477228\nAnswer: -29480477227.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 618851.\nAnswer: 17, 59, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 771053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181356 is divided by 67?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3467 (base 8) in base 15?\nAnswer: -832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 1. Let s = d + 0.5. Let o = -716285.8 + 716286. Which is the closest to o? (a) s (b) 16 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/83? (a) -5 (b) 546 (c) -90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 1. Let b(t) = 5*t**3 - 2*t**2 - 8. Let p(m) = -3*a(m) - b(m). Let y(h) be the first derivative of p(h). Let y(j) = 0. What is j?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/2305 and 46\/165?\nAnswer: 76065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 h when three letters picked without replacement from {h: 7, t: 5, w: 2}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -457 - -281. Let c = s - -329. Let t = 1685\/11 - c. What is the closest to 1 in -2, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(36\/16))\/((-1192)\/15198)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 223482.3 + -223465.29973. Let w = f - 17. What is w rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237059411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 713\/4 + -6463\/36. Let y = -36007\/6052 + -3\/7565. Find the common denominator of r and y.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**5\/20 + p**3\/6 - 4*p**2 + 4. Calculate o(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*p**2 - 182*p**2 + 165*p**2.\nAnswer: 88*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a + 81. Let t = 151 + a. Is t a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*r + 2\/7*r**2 + 2\/7*r**3.\nAnswer: 2*r**2*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3159) + (sqrt(3159) - 6*-2*sqrt(3159)))\/(sqrt(15)\/(sqrt(20)\/sqrt(4)) - (2*sqrt(12))\/sqrt(4)).\nAnswer: -126*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78 - 71. Calculate the greatest common factor of w and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/(-5 + 2) - 97)*-1 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*5*(-1 - 1). Calculate the common denominator of (13\/u)\/((-32)\/(-60)) and (-6)\/3 - 25\/(-70).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8\/25 of a kilometer?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4*2\/(-3))\/((-4)\/6). What is the first derivative of 4 + 12 - d*v**2 + v**2 - 1 wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-4))\/(((-6)\/5)\/(-3)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 6202. Let p(d) = -d**2 - 6*d + 27. Let u(r) = -3*r**2 - 14*r + 63. Let a(y) = -7*p(y) + 3*u(y). Determine v(a(t)).\nAnswer: -2*t**2 + 6202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**(-2)\/((u\/(u*u**(-2\/5)))\/u)**(12\/13) assuming u is positive.\nAnswer: u**(-94\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1613, 0.08, 0.18.\nAnswer: -1613, 0.08, 0.18, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*c*f*h*k + c*f*k - 2*c*h**3 - 3*c - 8*f*h**3 - f wrt h.\nAnswer: 6*c*f*k - 6*c*h**2 - 24*f*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20510336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 + 1 = -q. Let k be 8\/q*(-2 + 1). Let l = 1 + -1.4. Which is the closest to 2\/5? (a) k (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**3 - d**2 + d**2 + (-2*d - 3*d + 4*d)*(-d**2 - d**2 + d**2) - 9*d**2 - 5*d**3 + 9*d**2.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + q - 1. Suppose 3*t + 1000 = 3*h + 988, 0 = -4*t - 4*h + 40. Let w(o) = -2*o**3 + 4*o**2 + 3*o - 11. What is t*m(x) - w(x)?\nAnswer: 2*x**3 - x**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -5. Let b = -14.5 + 22. Let a = b - 7. Sort a, l, 0.1.\nAnswer: 0.1, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 83*d - 50*d + 99 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p - 1. Let y be l(-2). Suppose -y*q = 4*m - 130, q + 0*m - m = 17. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -232 - -508. Suppose 0 = -8*d + z + 2164. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 6:49 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 314, 336, 120, -340, -1050, -2016, -3244?\n\"Answer: -u**3 - 113*u**2 + 368*u + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from {i: 1, g: 3, d: 3, l: 1, z: 3, t: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -186.86235217 rounded to 2 decimal places?\nAnswer: -186.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7641, -7636, -7629, -7620?\nAnswer: -7609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 9*d - 7. Let v(s) = 5*s - 4. Let u(m) = 2*m**2 - 1. Suppose 0*o = 5*o - 10. Let q be u(o). Determine q*v(n) - 4*r(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 1:46 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4 - -1)*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4430, 16641, 36978, 65429, 101982?\nAnswer: 146625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*j - 1 - 1 = 0, -2*v + 6 = 4*j. Let s(w) = -w**2 - 6*w + 6. Let g be s(v). Let c = 26 - g. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2759 a factor of 175803480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*d - 24 = 0, -r + 4*d = r + 20. Let w be (r\/6)\/((-2)\/3). Calculate the highest common factor of w and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r - 2*r**3 + r**2 - 13*r**2 + r**3 + 2 - 9*r. Let s be o(-11). Solve 0 = -0*d + s*d - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*c + 2761 = -150*c. Suppose -216 = 7*g - c. Solve -g*n - 5*i = 30, 2 = -4*i + 2*i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h - 21. Let k be p(-8). What is the second smallest value in 14, k, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/24*(-4)\/(-25)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 417 divide 17852604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52503*s**2 + 2*s + 6159 wrt s.\nAnswer: -105006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 + 65*b - 108. Calculate o(-34).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80899 = 5*c - 2*r, 847*c - 850*c + 2*r + 48541 = 0. List the prime factors of c.\nAnswer: 3, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnqnnnqnqnqenhnqhqqq. What is prob of sequence qe?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 3*h)*(3*h**2 - 4*h**2 - 2*h**2)*(-4 + 4 - 2*h) as g*h**3 + i*h**4 + v + u*h + x*h**2 and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2391\/2)\/(((-12)\/8)\/(-3)). Let z = -1690 + k. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 1)*(4*d + 2*d - 4*d + (0 - 1 + 3)*(2*d - 3 + 3)).\nAnswer: -24*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/16)*(n\/(n*n**(-19)*n))\/n assuming n is positive.\nAnswer: n**(271\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.17 + 90190.29.\nAnswer: 90190.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1308*u + 103296. Give v(79).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 78712228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -9*h + 66. Suppose 1628 = h*d - 1584. List the prime factors of d.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -123 + 153. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**5\/20 + 2500*g**2. Let q(m) = -5*m + 9. Determine x(q(y)).\nAnswer: -75*y**2 + 270*y - 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6149 = -1200*f - 17722 - 6129 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000101134 rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**7\/5040 + a**6\/1080 - a**5\/720 - a**3\/6 + a**2. Let l(w) be the first derivative of p(w). Factor l(b).\nAnswer: -b*(b - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-6))\/(27\/162)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/255)\/(21\/(-15) + 1).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 9 + 44 = 0. Suppose -3*n - p = -16. Suppose -3*q - 2*w = w - 234, 0 = n*q + w - 242. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**3\/3 - 42*z**2 + 85*z + 183. Solve d(v) = 0 for v.\nAnswer: -85, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29.278 + 29.278045208. Round v to six dps.\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 3*g - 4, 4*r - 24 = 6*g - 2*g. Suppose -r*d = -70 - 94. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 159675 and 7500?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**2 - 6*m + 26. Calculate p(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 140490\/199 smaller than 705?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 7:09 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15288325 + 10590325. Round q to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7007 and 535821.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652436 is divided by 65242.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/204 less than 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*m - 32, 2*m - 74 = 5*a - 38. Calculate the least common multiple of 18 and (-11)\/((4\/48)\/(4\/a)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-14) + (1 - 1). Let z = 107 + -323\/3. Let m = 4 - 0. What is the third biggest value in m, a, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 953582?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 8*d**2 + 43*d - 5. Let a(c) = c**2 - c + 1. Let k(w) = -5*a(w) - r(w). Find the second derivative of k(h) wrt h.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15794, -15793, -15792?\n\"Answer: w - 15795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 4:15 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u = 1 + 17 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i**2*o - 8*i**2*y - 25*i*o*y - o*y - 15*y - 2 wrt o.\nAnswer: 3*i**2 - 25*i*y - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -68190*b**3 + 24103?\nAnswer: -204570*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32378?\nAnswer: 2, 16189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.38? (a) 0.162 (b) 0.1 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -51521, -92, -4 in increasing order.\nAnswer: -51521, -92, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 50 = m, 2*m - 5*m + 147 = -3*f. Suppose 33*q + m = 5*l + 30*q, -2*l + 23 = -5*q. Solve 3*p - 5*j = 4*p - 3, 3*j - l = 3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 + 3620*l**2 - 1046892*l + 94346604.\nAnswer: -4*(l - 363)**2*(l - 179)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113 + (-13)\/5 + (-15)\/(-25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 n, and 1 s when four letters picked without replacement from jjsnrrnssskksnjk?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 37.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 + 23. Let q be (-3 + (2 - 0))\/(3\/r). Solve 3 = -4*o - q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*x + x - 5 + 3 + 0 to a*x + u and give a.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*((2\/2)\/9)\/(904\/452).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 0*h**3 + 4*h**2 + 0*h + 1\/8*h**4 + 1\/20*h**5 + 0. Factor v(q).\nAnswer: 3*q*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2348761 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -12*i - 1. Let h(u) = -95*u + 11. Give h(a) + 5*y(a).\nAnswer: -155*a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -252*v**4 - 756*v**3 - 544*v**2 + 70. Let o(g) = -2*g**3 - 1. Let s(w) = a(w) + 6*o(w). Solve s(t) = 0 for t.\nAnswer: -2, -2\/3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -80566311 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.269 + -0.269. Let k = -26.1 - -27. Let z = -0.9 + k. Which is the closest to z? (a) -4\/9 (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 285\/34, -28, 36?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 11 = 3*c, 58*c + 21 = 55*c - 3*x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.35? (a) -1 (b) -3\/2 (c) 0 (d) 35\/6 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 96\/311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*a - 0*a, 5*q + 4*a = 192. Suppose -5*w + q = -194. What are the prime factors of w?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + (19 - 3 - (172 - 181)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*b + 58405 - 79430 = 189374. What is the thousands digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1645\/282*((-8)\/10)\/2\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 1 = 5. Let l be 6\/2*28\/12. Solve t*i - 1 = -l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144479.609 rounded to the nearest 100?\nAnswer: -144500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 8*m + 2. Let v(c) = -8*c**3 - 2*c - 2. Let k be v(-1). Let d be i(k). Solve -d = 3*s + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o**3 - o**2 - o - 1. Let y be c(-1). Suppose -5*s = 3*g - 3*s - 41, -2*g + y*s = -10. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 13104.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2197*x. Let n(b) = -11*b. Calculate n(s(u)).\nAnswer: -24167*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5619 by 1.\nAnswer: -5619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20581 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 + 21\/4*u**3 - 45\/2*u**2 + 27*u.\nAnswer: 3*(u - 2)**2*(7*u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12158?\nAnswer: 2, 6079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 134.85 and 11.\nAnswer: 145.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 4 - 2 - -1. Let g be (j + -2)*(-6)\/(-24). Which is smaller: g or 2\/1647?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 12, 2, -5 in decreasing order.\nAnswer: 12, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aanuaxaaaaanaa. What is prob of picking 2 a, 1 n, and 1 x?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1.11. Let z = v + 1.89. Which is the nearest to -1\/4? (a) z (b) -1\/2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3402)\/(-4))\/27*(-1)\/3 - -12.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**4\/12 - 115*b**3\/9 + 233*b**2\/6 - 39*b + 4349. Suppose u(d) = 0. Calculate d.\nAnswer: -117, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 240\/(-54) - 8\/(-18). Let m = 7016\/45 + -794\/5. Is w != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 5*n + 4. Let v be a(3). Let p be 704\/20 - v\/(-10). Suppose -p = -4*b + 45. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 5, 2, 24, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5731.859mg to nanograms.\nAnswer: 5731859000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/294*7*18\/4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1398168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2076, 3\/110 in decreasing order.\nAnswer: 2076, 8, 3\/110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -156 + 156 + 10*r. Let n(h) be the second derivative of -h**4\/24 + h**2\/2 - 2*h. Let a(g) be the first derivative of n(g). Give t(a(z)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 82\/19)\/((-2778)\/246316).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -5\/12*d**3 + 25\/8*d**2 - 13*d + 0 + 1\/48*d**4. Let k(p) = 0. Calculate p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, b: 11}. Give prob of sequence bb.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s + 3*k - 6 = -18*s, s = 5*k - 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-6\/5)*c**(2\/39) assuming c is positive.\nAnswer: c**(-224\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 3. Suppose 0 = -2*x - c + 5. Suppose -4*h + x*h = -44. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1681 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -36\/35, 3, -5, 2?\nAnswer: -36\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211102*q + 422222*q - 211121*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 13*f**2 + 3612*f + 50360. What is r(-14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, -44\/13, -0.05, -5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x. Let i(r) = -2*r + 2. Let z(p) = -1. Let t(q) = i(q) + 2*z(q). What is t(y(s))?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 3*b**2 + 0*b**2)*(-2*b**3 + 0*b**3 + 4*b**3) - b**5 - 4*b + 4*b - 11*b**5 - b - 346 + 346.\nAnswer: -16*b**5 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(3)*-2 + sqrt(30)\/(-2*sqrt(10)))*-1)**2.\nAnswer: -20*sqrt(3) + 139\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29444179 is divided by 564.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + (-17 - -6) - 22\/(-4). Let h(d) be the third derivative of 1\/20*d**5 + 0 - 1\/4*d**4 + u*d**3 - d**2 + 0*d. Let h(a) = 0. Calculate a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 11*i + 28. Let a be h(8). Put 1, a, 2 in ascending order.\nAnswer: 1, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 16) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 1\/((-3)\/(-9)) + 65.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 1 + 2467*o**2 - 3*o - 1.\nAnswer: 2467*o**2 - 6*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**8\/14 - l**6\/40 - l**5\/60 + 67*l**4\/24 + 2*l**2 + 137. What is the third derivative of d(t) wrt t?\nAnswer: -1440*t**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**3 + 4 - 4 - n**2 + 1 as z*n + w + o*n**3 + d*n**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r. Let h(o) = -18*o + 40960. Determine d(h(m)).\nAnswer: 36*m - 81920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zp when two letters picked without replacement from psszp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 + 83*k + 483. Let b be s(39). Suppose 4*j - 1450 = 3*o, -5*o + 0*j = -2*j + 2412. Let w = b + o. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1000080 and 111120.\nAnswer: 1000080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -69598*m**2 + 25 + 69596*m**2 - 10 + 2 + 15 in the form v*m + q*m**2 + b and give b.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 933469914.\nAnswer: 2, 3, 13, 47, 89, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/2)\/(-3)*(-26)\/52?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 11 = 9. Suppose -4*r = 3*p - 48, 2*p - 32 = 2*r - k*r. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lk when two letters picked without replacement from kkzzzzlzzlkkk?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 2*y + y)*(-3*y + 12*y - 2*y)*(-2*y**2 - 3*y**2 + 3*y**2 + (4*y - 3*y + y)*(0*y + 0*y - y) + y**2 + y - y).\nAnswer: 21*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8348, -30134, -65334, -113948, -175976, -251418?\nAnswer: -340274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ab1 (base 12) to base 6.\nAnswer: -35141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 264\/154*14\/1\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j*m**2*y**2 - 54*j*m*y**2 + 2*j*y**2 - 124*m**2*y**2 wrt m.\nAnswer: 2*j*y**2 - 248*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6835 by 45.\nAnswer: 1367\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.63697 litres to millilitres.\nAnswer: 97636.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60552265?\nAnswer: 5, 2411, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111 (base 3) in base 16?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 136\/17*(4\/2)\/(-4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1598415 divided by 9?\nAnswer: 532805\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 12:43 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*(l*l*(l\/l**(-9))\/l*l)\/l*l**8\/l*l\/(l\/(l\/(l*l**(9\/4))))*((l\/((l**7*l*l)\/l*l))\/l)\/l*l assuming l is positive.\nAnswer: l**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1471964.\nAnswer: 2, 13, 28307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4)*-2*1. Let f = -3\/22 - -5\/198. Is f not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58575.447 + -58600. Let y = -23.9 - o. Round y to 2 dps.\nAnswer: 0.65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 37 = -7*i - 3*v, -i = 2*v + 13. Let f = 18 + i. Suppose 5 - f = -2*s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114 - -1?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 1:27 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*t**2 - 97*t**2 + 189*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiciiccccccici. What is prob of sequence cci?\nAnswer: 28\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(175) + -5 + 3 + 0.\nAnswer: -2 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -25. Let f(d) = d + 1. Calculate f(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 15*o**2 + 34*o + 3. Let f be q(17). Let n = 0 + -0.1. Which is the third biggest value? (a) -4 (b) f (c) 2 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 5*j + 5, -316*s + 311*s = -15 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -162 + 232. Suppose 245*n - 287*n = -588. What is the highest common factor of n and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -51. Let c be (-228)\/(-133)*336\/22 - 4\/22. What is the greatest common divisor of m and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -11*w - 40 - 1\/2*w**2. Determine q(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4\/6 + 2095*k**3\/6 - 1036469*k**2\/3 + 216909226*k\/3 - 213809260 = 0 for k.\nAnswer: -2870, 3, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 410521 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1335 = -305*o + 73*o - 5511 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 188, 194, 200?\n\"Answer: 6*w + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-28) - (8 + (-97878)\/42) a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 35721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b. Let t(u) be the second derivative of 0*u**3 + 0 + 11*u + 0*u**2 + 1\/12*u**4. Determine j(t(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1)\/2 + 0)*(-1471 + -13)?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/5304 and -74\/28509.\nAnswer: 228072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-98)\/60 - 2*(9 - (-3294)\/(-360)))*6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1431988 times 0.4\nAnswer: -0.05727952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q + 4 + 0*q**2 - 11 + 3*q**2. Let f be d(-4). Let y = -8 + f. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14204\/213 + -4782\/71. Let l = 47.9 + -51. Let m = 3 + l. Put n, -4, m in descending order.\nAnswer: m, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 6 + 4)*(4*n - 2*n - 3*n) - 2*n + 3*n - 3*n + 0 - n + 0 + (-1 + 3 - 3)*(-n + 5*n - 3*n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three fifths of a minute?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3 = -12. Let z be 6\/s - 10\/25. Is z smaller than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 6:21 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26534905?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 234745388, 469490778, 704236166, 938981552, 1173726936?\n\"Answer: -l**2 + 234745393*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (42 + -19 - 11) + -27?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-2 + 0 - -3)) + (-34 - -40).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**3\/3 + 5*x**2 - 50*x\/3 = 0.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*u + 23*u + 29 = -3*f, 0 = -2*u - 4*f + 42 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -56 - 45869680\nAnswer: -45869736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**5 - 321*g**4 + 2435*g**3 + 1185*g**2 - 21510*g + 15336 = 0.\nAnswer: -71, -3, 4\/5, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1748*r**2 + 8213*r**2 + 12073*r**2.\nAnswer: 18538*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 153*p**2 - 69*p**2 + 3*p - 4 + 2*p**3 - 89*p**2. Calculate w(4).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 235 - 350. Which is smaller: -343\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15545685 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 h when three letters picked without replacement from mjbmmhdmm?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -678331*f**4 + 2*f**2 + f + 78884 wrt f.\nAnswer: -16279944*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2533 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 692 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + (2 - 1))*1. Let p(a) = 4*a**2 + 20*a + 29. Let t be p(-3). Suppose -t*f - o = -26. Solve 2*y + c = -10, -2*y = -f*y + 2*c - 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/(-147)*(-9)\/12.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33678 and 183.\nAnswer: 2054358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/231)\/((-2)\/(-30)*(-345)\/(-138)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 12526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(1\/3)\/i)*i)**41*((i**2\/i)\/i)**(-16))**(-32) assuming i is positive.\nAnswer: i**(-10496\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -5*g - 9, -4*i - 3*g - 12 = -5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 6*p + 10. Let m(z) be the third derivative of z**5\/60 + 5*z**4\/24 + 3*z**3\/2 + 27*z**2. Give 5*a(y) - 6*m(y).\nAnswer: -y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299 + 299 + w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i**3 + 0*i**3 + i**3)*(0 + 3 + 1) + (-1 - i**2 + 1)*(i - 3*i + 3*i) in the form m*i**2 + k*i + f*i**3 + u and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1730243 (base 8) to base 2\nAnswer: 1111011000010100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28174 is divided by 606?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 + 54. Let j(c) be the third derivative of 1\/3*c**3 + 0*c + 0 - 17*c**2 - 1\/24*c**4. Give j(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1124\/(-46084))\/(4\/(-82))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 9\/(0 + 3)*1. Let d be 2\/3*z*3. Suppose -d*c = -0*q + q - 168, 5*c + 780 = 5*q. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -151 + 358. List the prime factors of w.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1176995 decades in millennia?\nAnswer: 0.001176995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 - -81. Let j = 4883 - 4882. Sort y, j, 0.\nAnswer: 0, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2, 11, 22, 31?\n\"Answer: -c**2 + 16*c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 2*m - 4*y - 52, 2*y = -m - 2266 + 2267 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(q + 12*q - 4*q) - 18*q + 95*q - 7 - 2 + 9.\nAnswer: 86*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3378, -2301, -7980, -13659, -19338?\nAnswer: -25017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*s**3 - 25*s**3 - 2876*s**2 + 2876*s**2 + 132*s**3.\nAnswer: 225*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14866622 rounded to the nearest one hundred thousand?\nAnswer: 14900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -21185 + -5542478894\nAnswer: -5542500079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2118?\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 6*n**2 - 2*n + 3. Let j be t(-5). Suppose 14 - j = -4*i. Suppose 3*o = i*o - 5*a - 206, 5*o = 5*a + 360. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 1171037591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -22925 divided by -69?\nAnswer: 22925\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 5*b - 18, -5*b + 4 = -3*x - 0. Let g(n) = -n + 4. Let h be g(-8). Suppose 0*r + 90 = 2*j - x*r, 0 = 3*r + h. What are the prime factors of j?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 75?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 54477 = -k, i - 2*k = 4*i - 40866. Let t be 70844\/i + 1 + -3. Let r = 1\/681 - t. Calculate the common denominator of 44\/7 and r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z**2 + 4*z - 3. Let x be j(2). Let l = x - 18. Let k = l + 7. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -193303 by -7.\nAnswer: 193303\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) -6 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -272, -0.5 in decreasing order.\nAnswer: -2\/5, -0.5, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -24 + 22 + 7 + x. Let q = 2 + 1. Let v be w(q). Solve -a + 10 = -5*j, -5*a + v + 22 = -5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3041 = -3*h + 3961. Let d = 3381 - h. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -5.73, 1, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/1078)\/((-24)\/(-66))*-3?\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1699571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.09 - 19. Let t = v - 0.09. Let y = t - -10.1. Are y and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -1 in decreasing order.\nAnswer: 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*0\/2*71\/71.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*v - 24 = 0, g - 7 = 25*v - 22*v. Suppose -g*x - 32 + 48 = 0, -u + 124 = 3*x. Do u and 112 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-4) - (-6)\/12. Suppose -4*b = -5*a - 1360, -3*b - r*a + 1020 = -0*b. Suppose -5*p - b = -f, -f - 7*p + 331 = -3*p. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 3*o**2 - 4*o + 3. Suppose 0 = 38*z - 35*z - 63. Calculate the lowest common multiple of s(5) and z.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 1. Let h be 5 + 0 - (-4)\/4. Let v be i(h). Factor -4\/7*p**4 - 2\/7*p**v + 2\/7*p + 0 + 0*p**3 + 4\/7*p**2.\nAnswer: -2*p*(p - 1)*(p + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + -3 + -1 + sqrt(242) + (3*sqrt(242)*2)**2 + -4.\nAnswer: 11*sqrt(2) + 8699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/6)\/(-5 + (-128)\/(-24)). Let g(i) = -15*i**2 + 7*i + 1. Let y(x) = 31*x**2 - 13*x - 2. Let h(d) = 11*g(d) + 6*y(d). Does 7 divide h(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266*g + 976*g - 19170 = 0. Solve -2*j + 40 = 4*t + 18, -6*j + g = -t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2313395, -4626789, -6940183, -9253577, -11566971, -13880365?\nAnswer: -16193759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 10 = 5*b - 3*b, 0 = 3*b - 5*o + 15. Let f = 32 - 23. Suppose -i + 2 = -3*m + f, 5*m = 15. Sort 4, b, i.\nAnswer: b, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 - 24*a - 20. Let m be s(-11). Let g be (18 - 16)*3\/m. Solve -1 = -w + 1, 5*q + 4*w - g = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4528 less than -1352?\nAnswer: -1352.4528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9672449.22s in weeks?\nAnswer: 15.99280625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*g**3*h**3 - 7477*g**3*h - 20*g**2*h**3 + 2*g**2*h**2 + 2*h**3 wrt h?\nAnswer: 192*g**3 - 120*g**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1414*n + 68695 + 19185 + 19584 for n.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 7:50 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by 776303.\nAnswer: 2\/70573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 32843, 32866, 32889, 32912, 32935?\n\"Answer: 23*c + 32820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/10*(-22)\/44.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21228426 divided by 2?\nAnswer: 10614213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -2115 (c) 65\/6 (d) 2\/7 (e) -4 (f) -5 (g) -2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-30)*-2*(-5)\/(-10)*6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 8 = -7*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 37.167?\nAnswer: -11.1501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 751928, 751929, 751930, 751931, 751932?\nAnswer: 751933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26915 + -26915.3. What is the nearest to 4 in 1\/8, x, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 425 = -3*y - i, -5*y - 4*i + 440 = 0. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2038915 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2703290 and 13550.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 0, -5*x + 45 = -0*x - 3*z. Let v be 1\/(3 + (-26)\/x). What is the greatest common divisor of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 34, 76, 130, 196, 274?\n\"Answer: 6*v**2 + 24*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 209911807 to the power of 1\/2, to the nearest integer?\nAnswer: 14488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 34.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80486.\nAnswer: 2, 7, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1900 - -1905. Solve v*b = -10, b - 2 = 2*d - 14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1823642.885 rounded to the nearest ten thousand?\nAnswer: -1820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**3\/6 + 4*d**2 - 609*d - 1. Let v(o) = 2*o + 15. Calculate 13*c(s) - 6*v(s).\nAnswer: s + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*n**3 + 7*n**3 + n + 10*n**3 + (n - n**2 - n)*(-1 + 2*n + 1) - 47*n + 47*n - 7*n**3.\nAnswer: -10*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5097.592 - -5025. Let d = -66.59276 - c. Let u = -6 + d. What is u rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**4\/8 + 39*c**3\/8 + 561*c**2\/8 + 3509*c\/8 + 3993\/4 = 0.\nAnswer: -11, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -14*v + 3. Let z be d(1). Suppose 0 = -3*i + 30 - 3. Let h = z + i. Is 0 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -3*x + 99 - 110, -8 = 4*p + 4*x for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3 + sqrt(17) - (sqrt(204) + sqrt(204) + 3*sqrt(204))\/sqrt(12))**2.\nAnswer: -16*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + (1 - 0)\/((-26)\/(-1560)*-10).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o + 2*o - 6*o + ((-o + 5*o - 2*o)*(-3 + 0 + 4) + 0*o + o - 6*o)*(-15 - 6 - 8).\nAnswer: 86*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 90711 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 12*f**2 + 25 - 51 as v + a*f**2 + o*f and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-5 - -8707 - -6). Suppose -2*l + o = 12*l. Does 32 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000021078 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 7*f - 6. Let q be u(-8). What is the first derivative of -q - 5*b - 2 + 8*b wrt b?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r + r - 2*r. Let w be (-12)\/(-9) - 6\/(-9). Let x(b) = -w*b + b - b. Determine s(x(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**3 + 11 - 6*a - 6*a**3 + 4 + 10*a**2 + 3*a**3. Let f = 21 - 14. What is the tens digit of n(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**2 + 1 + 59*h**2 - 15 + 196*h**2.\nAnswer: 251*h**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*r + r. Suppose r*q - 9 = 11. Suppose q*y = 55 + 20. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 823*a**2. Let l(q) = 8*q**2. What is l(m(w))?\nAnswer: 5418632*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 227869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -506238822.\nAnswer: -506238824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 - 61 + 61*i**2 + 3*i**3 - 2*i**4 + 67 + i as c*i**3 + s*i**4 + y + r*i**2 + w*i and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 123 - -24?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 195037208407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9624 is divided by 938?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63855 and 305343?\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31573 is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.5071*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sevenths of a week in days?\nAnswer: 23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 10 (b) -6 (c) 2 (d) 0 (e) 35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 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 -4 less than -401405990?\nAnswer: -401405986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/335 <= -9.71218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 4*g + 4, 2*u + u - 11 = -5*g. Suppose -3 = -5*w + u. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*v - v + 25*v to o + k*v and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 v when two letters picked without replacement from {w: 1, z: 1, y: 2, j: 1, v: 1, r: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 - 62. Let c(j) = -5*j - 26*j**2 - i*j + 10*j. Let m(h) = -h. Give c(m(a)).\nAnswer: -26*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2543*h - 2459. Give p(1).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-90)\/20*4*1. Let a = 0.3 + 4.7. Let l = -4 + a. Which is greater: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4248 divided by -64057.\nAnswer: 4248\/64057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 856806.9m?\nAnswer: 856.8069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2000*a + 497*a**3 - 1999*a + 3999*a + 3549 wrt a?\nAnswer: 1491*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3 + 9*a + 5 to the form m*a + z and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -54 - 2521?\nAnswer: -3015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1353, -1354, -1351, -1344?\nAnswer: -1333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/60)\/(2\/10*-2).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (451\/66 - 8) + 21\/((-37296)\/(-2216))?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/6 and -15\/46.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 c when two letters picked without replacement from cclnxcfxcxqcx?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -125805, -251617, -377433, -503253?\n\"Answer: -2*o**2 - 125806*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - 3 - -2 - 2. What is the tens digit of s + ((-2)\/7 - (-51918)\/119)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -316, -1 in ascending order.\nAnswer: -316, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20307, -40877, -61447?\n\"Answer: -20570*r + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 176, 190, 194, 182, 148, 86, -10?\n\"Answer: -n**3 + n**2 + 18*n + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*i + 6*i**2 + 6*i - 42*i - 4*i**2.\nAnswer: 2*i**2 - 55*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -18162, -2, 2, -3, 5, 1 in decreasing order.\nAnswer: 5, 2, 1, -2, -3, -18162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 + -71. What is the common denominator of (142\/(-70))\/((-2)\/c) and -81\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10821 is divided by 9682?\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 24 (b) 3\/5 (c) -3 (d) -1858\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-6)\/63)\/(8\/(-14)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.5 + -7. Let j be (51\/(-1139))\/((-1)\/(-1)). Let s = j - 49\/402. Put m, -4, s in descending order.\nAnswer: s, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -13\/46905?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 422*p**3 + 9*p**2 + 11*p - 46. Let h be i(29). Round h to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328113 is divided by 109226.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -10. Suppose p - 21870 = -5*k, 5*k = -p + o*p + 21900. Calculate the common denominator of (18\/115)\/3*k\/100 and -61\/6.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*g + 71*g + 15*g)*(-2*g**3 - 8*g**3 + 8*g**3) + 2*g**4 - 2*g**4 + 2*g**4.\nAnswer: -154*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (6 + -8)) + 1 + 1 + -10\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22215746?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*n + 0*n - 9*n)*(-n + 5*n - 3*n) + (4 - 1 + 0)*(2*n**2 - n + n) in the form g + t*n + u*n**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2125.811 millilitres to litres.\nAnswer: 2.125811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 6 + 19 + 27 - 63 - 18*p**2.\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 + k**4 - 20249 - 3*k + 0*k**4 + 3*k**3 + 20247 to the form q*k**3 + i + h*k + s*k**4 + j*k**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3893*o + 3803*o = 1890 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 174\/232 + 23\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-8)\/u**8*u**(-1\/10)\/u**0*((u\/u**0)**35)**(-2) assuming u is positive.\nAnswer: u**(-861\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -382320 * -0.07\nAnswer: 26762.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i = -513 + 630 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 43.62424 hours?\nAnswer: 2617.4544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmma when four letters picked without replacement from {c: 2, a: 9, m: 6}?\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -112204329*b**3 - 161507112*b?\nAnswer: -673225974*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvyb when four letters picked without replacement from {v: 5, y: 3, b: 1}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 212352 and 353920.\nAnswer: 1061760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5768134 and 1357208.\nAnswer: 23072536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240 at least -26744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 24, 0.3, -18\/13, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 208\/(-24)) + 19 + (-32 - -4)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -32. Solve -14 = -l + d + 4*d, 5*l + r*d = -20 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 2. Let a(c) = 96*c**3 + 33*c + 183. Let f(i) = 12*i**3 + 4*i + 23. Let y(n) = 4*a(n) - 33*f(n). Let j(t) = -27*x(t) + 2*y(t). Factor j(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 + 136. Suppose -3*p + t = 2*p. Let u = -24 + 42. What is the highest common factor of p and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -78664?\nAnswer: 3\/39332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/4*36\/45.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 8894*p - 9407. Is s(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88924\/6 - ((-8)\/(-6))\/(-1).\nAnswer: 2, 7411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61353, -61363, -61369, -61365, -61345, -61303?\nAnswer: -61233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -7 + 15 + 7*f - 5 + 1. Let w be k(4). Suppose 0 = 2*c - 3*v - 186, -3*v = c - 43 - w. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.9 and -0.06.\nAnswer: 0.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 24*t**2 + 8*t + 5. Suppose 0 = 2*z - 3*b + 12, -3*z + 4*z + 6 = -3*b. Is u(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2 = 7. Let p = -8 + 7. Let i = -1 - p. Which is smaller: i or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*x - 281 - 119, 4*f - 400 = 5*x. Let j = -41 - x. Calculate the remainder when 153 is divided by j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9096 and 27050367.\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**3 + 0*q**3 + 2*q**5 + (q**3 - 4*q**3 + q**3)*(3 - 3 + q**2) + 2*q**5 + 3*q**5 - 4*q**5 + 5045*q - 5045*q - 262*q**5.\nAnswer: -261*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 582251620?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 5*b - d, 0 = -5*b - 3*d + 26 - 43 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-45)*5\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 9*w + 5352. Suppose w = -r + 3779. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/2 + 2507*f - 6285049\/2.\nAnswer: -(f - 2507)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -9 + -7 + (-9 - -23)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 23. Solve 6*m - 8 = -5*f + 4*m, 4*m + w = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*2*((sqrt(72) - (sqrt(72) + 1))**2 + sqrt(72)).\nAnswer: 48 + 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 1 - (-17 + -2)) + -73 + 73?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -0.7. Let y = -1944 - -1943.9. What is the smallest value in y, -17, l?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 3, 5*m - 4*k + 8 = -11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6 = -p, 2*h + 4*p = 14 + 12. Suppose -2*k + h*k = -4*d + 596, -k = -d + 149. What are the prime factors of d?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1679076)\/(-32724)*(-90)\/105 - -44.\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/5)\/((-2)\/25). Let t be (-2)\/10 - 342\/s. Let k = t + -3. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 47 + 27 - 18*w**2 to the form b*w + m*w**2 + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 12:11 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1207066805.\nAnswer: 5, 7, 34487623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**3 + 6*h**2 - h - 11. Let l(f) = -f**3 + f**2 + f + 1. Let b(a) = -3*l(a) - r(a). Let n be (-36)\/81 - 40\/(-9) - -5. What is b(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 - -45 - (-13 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 123612 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h = 11*h - 29 - 21. Solve g = -h*r + 5, 7 = -5*g + 5*r + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60248*j**2 + 9495 - 9492 - 60255*j**2.\nAnswer: -7*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21705 divided by -6\nAnswer: -7235\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/2 + 29*p**2\/2 + 65*p\/2 - 93\/2.\nAnswer: -(p - 31)*(p - 1)*(p + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.19 + -4.8. Let s = o - 0.19. Let p = 0.8 + s. Which is the closest to -2\/3? (a) p (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 17*j**2 - 37*j - 1. Let b(u) = -38*u**2 + 76*u + 2. Let a(t) = 4*b(t) + 9*i(t). Determine a(27).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128394313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.56 - -0.16. Let z = -1.52 - i. Let r = z - -3.12. What is the biggest value in 5, 0.3, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 2*l - 24, -4*l = -0*o - 4*o + 48. Let c be 2\/3 - 4\/(-3). What is the greatest common divisor of c and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4334.23896 to the nearest integer.\nAnswer: -4334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.8 (b) 6\/11 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*20.7\nAnswer: 10.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-67.\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 2*w + 38, -14 = -n - 2*w + 8. Let u = -977\/2 - -477. Let h = u + n. Which is the second biggest value? (a) -4 (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**4\/6 + 37*l**2. Let y(s) = 3*s**2 - 6*s**2 + s**2. Determine y(g(f)).\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 11634083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -664 or -749?\nAnswer: -749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -1089\/361?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-5))\/(45\/150)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f + 50. Let a be d(7). Solve -a = z - 16 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1780 divide 119035581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 443565110 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 62, 46, -6, -112, -290, -558, -934, -1436?\n\"Answer: -3*g**3 + 5*g + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.68 + 1.18. Let f = u - -2.3. Which is the closest to 0.2? (a) f (b) 1\/11 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -196 - -219. Solve -25 = 5*l, -s + 5*l = -3 - c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -0*q - 2, 5*q = -2*j + 61. Suppose -34*g = -j*g - 10. Let k(t) = 20*t**2 + t - 1. Let p be k(1). What is the highest common divisor of p and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4947109.9 + 4947107.1512001. Let c = -54.7487951 - b. Let v = 52 + c. What is v rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**2\/4 - 2053*p\/2 = 0.\nAnswer: -4106, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1512 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78 - (-2 - (2 + (-1 - 2)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/3, 6, 22, -7129?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + (-5)\/(-6)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 428920405 and -60238.6.\nAnswer: 428860166.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-111)\/(((-837)\/(-31))\/9)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/8 and 0 + (-20 - -27) - 2362\/(-12800)*-38?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/((195\/(-10) - -27)*4\/70).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 644394327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tff when three letters picked without replacement from ftttttttfdtttftttdd.\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/213 and 13\/1140.\nAnswer: 80940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(153) + sqrt(153) + -3*sqrt(153))*-6)**2.\nAnswer: 5503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2307*v**3*z**3 - v**3*z**2 - 6*z**3 + 15*z - 5 wrt v.\nAnswer: -6921*v**2*z**3 - 3*v**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 1:01 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + x)*(3 + 450*x**2 - 2810252*x + 2810252*x).\nAnswer: 450*x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 887*q + 49491 = 3565*q + 1129*q for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = -877*o + 913*o. Solve 7*b - o = 9 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -138309 or -138339?\nAnswer: -138309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 12*x - 45. Solve 0 = 2*f - x + 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -37.69 (b) 19 (c) -4 (d) -2 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**2 - 4268 + 4268.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -23, -47, -89, -155?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i. Suppose 0 = -2*p - 5*b - 25, -3*b - 15 + 0 = p. Let r(v) = -6*v**2 + p*v**2 + 5*v**2. Calculate x(r(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 18 = -2*o, -3*o - o = n + 32. Let q = -21 + 30. Let m(l) = -9*l**2 + 2*l - q + 2 + 2. Let x(k) = -13*k**2 + 3*k - 7. Calculate o*m(s) + 5*x(s).\nAnswer: -2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*l - 264*l = -341348. What are the prime factors of l?\nAnswer: 2, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 1. Let b be a(0). Let y be (-6)\/27*3*(-9636)\/(-176). Is b at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 0 - (-19 - (1 + -20)) - 19\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -7.4. Let h = u - 1.7. Do -1\/2 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + -37. Let k = t + 3. Let s = 39 - k. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, m: 2, h: 1, r: 1, l: 2, f: 2}. What is prob of sequence hfum?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -20. Calculate the common denominator of (-2)\/g*556\/(-6) and 65\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -405*k**3 - 2396720*k**2 - 3545636545*k + 612897670.\nAnswer: -5*(k + 2959)**2*(81*k - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 8 = 9*a. Let v be -4 + a + 8 + 3. Factor 3*h**2 + 10 - 15*h + v*h**2 - 4*h**2.\nAnswer: 5*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + -28. Let b = i + 239\/4. Let g = 341346 - 341352. Sort 0, g, b in ascending order.\nAnswer: g, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.259867687 to 5 decimal places.\nAnswer: 0.25987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 972 + (((-48)\/(-4))\/3 - -1). Let f = -330 + k. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1.96, -27, 2\/11, -3 in ascending order.\nAnswer: -27, -3, -1.96, -1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1 = -6. Suppose -o*d = -0*d. Suppose -5*a + 7 + 18 = d. Solve -3*c - a = 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 17*q**3\/3 - 1. Let n(o) = -1297*o + 438*o + 431*o + 430*o. What is n(a(i))?\nAnswer: 34*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcgojuy. Give prob of picking 1 c, 1 u, and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 736265 times 5.2?\nAnswer: 3828578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*u - u - 172 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7133838301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k. Let p(t) = t. Let o(f) = f. Let v(a) = 5*o(a) + 10*p(a). What is v(h(b))?\nAnswer: 60*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(4)\/sqrt(2)) - 2*sqrt(11)*1)*-1.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/(m\/(m\/(m\/m**(2\/13)))))\/m))**(-44\/5)*(m**(-2))**19 assuming m is positive.\nAnswer: m**(-3526\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 90*j**2 - 15*j + 27. Let z(u) = 13*u**2 - 2*u + 4. Let c(m) = 2*t(m) - 15*z(m). Differentiate c(d) with respect to d.\nAnswer: -30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*x = -5*x - 3520. What is the common denominator of (x\/12)\/10 + 204\/16 and 113\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 36330 times 3649\nAnswer: 132568170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24939060 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 - 3. Let o be k(-4). Let x = -17 - o. Calculate the highest common divisor of 36 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -7, -3 in descending order.\nAnswer: 17, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14c - -14?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 224049407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22602660 (base 7) in base 15?\nAnswer: 292dd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/44)\/(333\/(-7326)). Let i(d) be the third derivative of -d**4\/6 + d**3\/3 + d**2. Let x be i(-2). Solve 5*j + 31 = n*p, 3*p - 5*j - 17 = x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -20*q + 6. Let x(p) = -21*p + 5. Let h = 3036 + -3041. Determine h*m(k) + 6*x(k).\nAnswer: -26*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 h when three letters picked without replacement from {h: 4, j: 10}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**5\/2 - 173*d**4\/2 - 878*d**3 + 2106*d**2 = 0?\nAnswer: -162, -13, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3115 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -9. Suppose d = -8 + 1. Let y = 2 + d. Sort u, y, -1 in decreasing order.\nAnswer: u, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 422, 1620, 3616, 6410, 10002?\nAnswer: 14392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxh when three letters picked without replacement from xxgggxxxggggxgxgghg?\nAnswer: 77\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1797529402 by -2.\nAnswer: -898764701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d = 53*d - 4*c - 94, d - 3*c = -3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -30370 divided by -56?\nAnswer: 15185\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-1) - 554)*(64 + -65). Calculate the greatest common factor of c and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 + 726\/9)\/((-6)\/(-9))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29553.5 nanoseconds to seconds.\nAnswer: 0.0000295535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2 + 151*c + 610. Give s(79).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 7:24 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*(sqrt(968) + sqrt(968)*-5))\/(-6*(sqrt(144) - -3*sqrt(144)) - 2*sqrt(144)*1).\nAnswer: 44*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -2)\/2*6. Suppose -h + 8 + 0 = -3*z, q*h = -z + 14. Factor -t + 0*t**h - t**5 - t**3 + 3*t**3.\nAnswer: -t*(t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 minus -17.52?\nAnswer: 17.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -5, -1\/4, -2121, -2\/9, -0.91, -9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 888 = 74. Let b be y\/(-15) + 14\/(-105). What are the prime factors of 909\/b + 3\/9?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - (12 - 17)) + -9?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15342 (base 7) to base 6.\nAnswer: 31513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38.7 - 17.3. Let f = -54.43 - y. Round f to 1 dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5449902.\nAnswer: 2, 3, 908317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/31, 0.2, 2\/9 in ascending order.\nAnswer: 3\/31, 0.2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 17 = 4*a, 0 = 3*q - 0*a + 2*a - 13. Suppose j - 4*j - 6 = 0. What is the second smallest value in j, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/12 and -41\/558.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2911158409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -23469 divided by 8?\nAnswer: -23469\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 784*a**3*p**3*z + a**3*p*z - a**3*z**2 - 11*a**2*p*z**2 + 3*a**2*p*z + 2803*p**2*z**2 + 1598*z**2 wrt p?\nAnswer: 4704*a**3*p*z + 5606*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*13*14\/91?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 737555*h**5 + 4425320*h**4 - 8113165*h**3 - 44253190*h**2 + 73756100*h - 1000 = 0. What is h?\nAnswer: -5, 2\/147511, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -18939368000 rounded to the nearest 1000000?\nAnswer: -18939000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 2*b**2 + 2*b - 4. Is k(3) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4874772 and 1624924.\nAnswer: 4874772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 48, 60, 82, 120, 180?\n\"Answer: s**3 - s**2 + 8*s + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4906, 4932, 4882, 4756, 4554?\n\"Answer: -38*o**2 + 140*o + 4804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*k + 29*k + 26*k + (4 - 6 + 3)*(4*k - k - k) - 2 + 2 - k.\nAnswer: 65*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-15696219)\/(-595) - (-4)\/5?\nAnswer: 23, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5 + -2*-5*sqrt(90)\/(sqrt(20)\/(-1*sqrt(4))))**2.\nAnswer: -120*sqrt(2) + 1804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -25*c - 4. Let n(d) = -d - 1. Suppose -44*f - 21 = 23. What is f*s(z) + 4*n(z)?\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 320724\/(-53631) + 6\/(-303)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3152010 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2291*p**2*t**3 + 1380*p**2*t**2 - 10*p**2*t - p*t**3 + 3*t**3 wrt t.\nAnswer: 13746*p**2 - 6*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2*85\/34*(-4)\/(-10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d**3 - 5*d**3 + 3*d**3 - d**2 + (-2*d**2 + d**2 + 6*d**2)*(d - d + 2*d) in the form v*d + s + r*d**3 + g*d**2 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 177.155 - 0.155. Let c = r + -176.99778. Round c to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2019196?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 276 - 409. What is t rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/44 and 139\/198.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -110*g + 220*g + 189*g + 82*g in the form u*g + r and give u.\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 4:47 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 220092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 3*o - 180, -62 = -2*o - 4*k + 58. Does 30 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - y**2 + (0*y + y - 3*y)*(-27*y - 26*y + 63*y) + y**2 - 5*y**2 + 3*y**2)*((2*y**2 - 2*y**2 + 3*y**2)*(11*y - 14*y - 28*y) - 2 - y**3 + 2).\nAnswer: 2068*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + (sqrt(114)*3 - sqrt(114)))*-5 + sqrt(114) + (sqrt(114) - ((sqrt(114) - 1*sqrt(114)) + sqrt(114))*-3))\/((sqrt(24) + 1*-4*sqrt(24))*1).\nAnswer: 5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 240, 227, 214?\n\"Answer: -13*w + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -45, -2.3, -5, -148?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-14)*1*((-1925)\/100 + 19).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*x**4 - 208*x**3 - x**2 + 97394 wrt x.\nAnswer: -60*x**3 - 624*x**2 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.006339, 2, 4, 2429 in decreasing order.\nAnswer: 2429, 4, 2, -0.006339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2773*s - s**2 - 2094280 + 2094280 - 1036*s**3 wrt s?\nAnswer: -6216*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.41 - -2.69. Let x = y + -16.099652. What is x rounded to five decimal places?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 2:30 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/1140 and 47\/342?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*j + 12*j - 723 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 3:15 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - -5638?\nAnswer: 5645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*m**2 + 4*m - 18*m + 8*m + 4 + 8*m**2 + 4*m to the form d*m + a*m**2 + p and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 185364*g - 2039004. Calculate r(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 + 20\nAnswer: 20.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*u - 163 = 29 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 182 + -116. Let n = d - 103. Let c = -23 - n. What is the lowest common multiple of 8 and c?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116, 1, -2 in ascending order.\nAnswer: -2, 1, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 407231 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**3 + 26*n**2 + 57*n + 4161. What is k(-18)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -91 + 37 + 106.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1162 = -0*p - 7*p + 1162. Which is the fourth biggest value? (a) p (b) -207 (c) 4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**4\/24 + x**3\/2 - x**2. Suppose -4*k + a = -14, k + 0*a = 5*a - 6. List the prime factors of i(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -687 divided by 106\nAnswer: -687\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p - 11*p = -11*p. Let o(q) be the third derivative of -q**4\/24 + 4*q**3\/3 + q**2. What is o(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/8)*r**13 assuming r is positive.\nAnswer: r**(101\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a + 8370 = 8620. Solve 3*f = w + 7*f - a, w - f = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*z - 7*z + 20, -3*p = z - 8. Let b = 1076 + -1072. Solve b = -p*y - 0*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144*-5.11\nAnswer: 735.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(-2*sqrt(3)))\/(sqrt(20)\/sqrt(4)*-5).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 = -5*k + 5*q, 3*k + 73 = 4*k - 4*q. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 - 3*p - 1. Let o(l) = -2*l + 21. Let q be o(11). Let d be k(q). Solve 0 = -d*r + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x - 5*x - 17*x in the form n*x + i and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 9 = -14*w, 300*n - 295*n = -4*w - 29 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*y = -5*t - 14, -4*t = 8. Find the first derivative of -4 - 5*i**2 + 8*i**y - 6 wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -10 + 3 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/75 and -48\/55?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -61\nAnswer: -4\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -24132.8918 to the nearest integer.\nAnswer: -24133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 165, -1, 254\/9 in increasing order.\nAnswer: -1, 254\/9, 35, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*n - 6. Let w be (-17)\/(-5) - n\/(-5). What is the second derivative of -w*q - 2*q**5 + 2*q + 2*q wrt q?\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**4\/3 + 38*s**3\/3 - 2*s**2 + 2*s. Calculate the remainder when 98 is divided by n(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*r - 80. What is the remainder when r is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 321587 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 280540032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 a factor of 3164124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 + 43. Suppose -s*d = 5*d - 182. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27144144 by 12048.\nAnswer: 2253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/28)\/(11\/77). Suppose g*f - u - 4754 = 0, -5*f + 8*f + 4*u - 3575 = 0. What are the prime factors of f?\nAnswer: 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 3:25 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2966, -2966, -2968, -2972?\nAnswer: -2978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-197911)\/(-588) - 4\/(-6). Which is smaller: t or 336?\nAnswer: 336","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 + 57. What is the nearest to 0 in -0.3, i, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9 - 4 - (-696)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/12)\/v*((v*v**(2\/3))\/v*v)\/v*v*(v**(-1\/2)\/v*v)\/v**(-3\/2))**(-2\/25) assuming v is positive.\nAnswer: v**(-19\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27.546? (a) 3\/13 (b) -1\/10 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36589 + -25392. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14049 - -9434. List the prime factors of n.\nAnswer: 23, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277185 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from cvhhccflvdfvcl.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 4*f. Let r be (0\/2)\/(-2 - f). Let d be 4 + 0\/(-3*1). Solve 2*h + r*h = 4*i, i = -d*h - 9 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5752\/(-9347)*1235\/(-20)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/421 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = -2*i - 42. Suppose 2*z - 3*o - 12 - 2 = 0, 0 = 4*z + o - 28. Calculate the greatest common factor of z and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 - -93. Let h = 137.99999746 - g. Round h to seven decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 159 + (2 + 1)\/3. Suppose 3*q + 4*b = -0*q + 121, -4*q - 4*b + u = 0. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -90, -73, -44, 3, 74, 175, 312?\n\"Answer: f**3 + 10*f - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + 3)*-4.\nAnswer: -20*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i - 42. Let f be n(31). Suppose -109*j + f*j = 140. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2 - 2)*(4 + 22*j - 28*j - 3).\nAnswer: 12*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4383 and 38010837.\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 - 14*x - 9. Let r be p(8). Suppose r*v = -1 - 13. What is the remainder when 54 - (v + 4)*-1 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21150 - 4342034?\nAnswer: -4320444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wklpssbl. What is prob of sequence kpl?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 5) + 3\/27*0 + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-2\/3)*i**1*(i**(-2\/7)*i)**(-24\/11)*(i\/(i\/(i*(i\/(i*i\/(i*i\/i**(2\/7))))\/i)))\/(i\/i**(5\/4))*i\/(i\/i**(2\/3))*i**(-1\/3)\/i*i assuming i is positive.\nAnswer: i**(741\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (139\/(-5) - -1)\/((-4)\/10) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 times 0.077?\nAnswer: -12.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 smaller than 216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1730413 to the power of 1\/2, to the nearest integer?\nAnswer: 1315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*t**4*u - 3308*t**2*u**2 + 879*t*u**2 - 10*t - 58*u**2 wrt t.\nAnswer: 360*t**2*u - 6616*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -1 - 40\/18. Let s = 0.05 - 5.05. Which is the third biggest value? (a) n (b) 0 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -372, -368, -362, -354, -344?\n\"Answer: z**2 + z - 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -1279.\nAnswer: 1\/1279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and (-3 - 22)*(-8)\/20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 4427c?\nAnswer: -4427c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22584222196 from 1020.\nAnswer: -22584221176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 + 3. Let a(k) = -1. Let p(r) = 3*a(r) + u(r). Let v(t) = -16449*t - 47*t**2 - 16678*t + 33127*t. Calculate p(v(l)).\nAnswer: -4418*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/1263, 5\/4, 0.3, -4, -71 in descending order.\nAnswer: 5\/4, 0.3, -2\/1263, -4, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -141, -212, -283, -354?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 5:30 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19084.922 times -10?\nAnswer: -190849.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 + 53571?\nAnswer: 5357a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 104655 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*k = -20082684 + 49061599. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*a - 20 = 0. Let j be (-16)\/(-6)*6\/a. Suppose 0 = j*s - 16, 5*k - 2*s = 3*s. Solve -b = k*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 69. Let q(f) = -f**2 - 2*f - 17. Let l be q(-4). Let p be (l\/15)\/(-5) + 1\/(-3). What is the tens digit of r(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 3. What is z(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 + 5*x - 321. What is g(12)?\nAnswer: 27","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 {c: 9, d: 9}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 175182 divided by -14\nAnswer: -12513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 685 + -4605.\nAnswer: -3920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1510914.\nAnswer: 2, 3, 419, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v - 10*v = 5*l - 4, -3*v = l - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1889631, 3779272, 5668917, 7558566, 9448219, 11337876, 13227537?\n\"Answer: 2*m**2 + 1889635*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 t when four letters picked without replacement from nstttssnstnstsns?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0, -4, -37, -22 in decreasing order.\nAnswer: 0, -2\/11, -4, -22, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79 - -84. What is the third derivative of -63*j**2 + 143*j**2 - j**i + 13*j**3 - j**3 wrt j?\nAnswer: -60*j**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 + 0*q + 0*q + (5*q**2 - 11 + 11)*(9 + 4*q - 9).\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - ((-8050)\/(-90))\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 136365501 (base 7) to base 12\nAnswer: 3025040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 316\/3 + 308\/3*q**2 - 628\/3*q + 4\/3*q**3.\nAnswer: 4*(q - 1)**2*(q + 79)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 184919*m*r**4 + 3262*m*r**3 + 1346508594*m with respect to r.\nAnswer: 739676*m*r**3 + 9786*m*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 - -68.84. Let r = u - -2.160000633. What is r rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1117678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/2)*r**(-1\/2))\/(r**0)**(-2\/15) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**5\/(s**(-1\/4)\/s) assuming s is positive.\nAnswer: s**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -314 + 142 - 2*x**3 + 151 as w*x**3 + c + k*x + q*x**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*h - 31 - 21*h - 31*h to q + y*h and give q.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1530)\/36*8\/(-10) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -55\nAnswer: 5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(75\/2))\/((-712)\/6675*15)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 10:18 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1333 > -1334?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 354108158\/(-8) + 6\/8. Let x = v + 65363519. What is x rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0425726 + -0.015581. Let i = w + -0.027. What is i rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -73\/7?\nAnswer: -73\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-7020)\/179)\/(-5))\/(-14). Let r = k + -2\/179. Put r, 5, -2\/25 in descending order.\nAnswer: 5, -2\/25, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -503 - -231. Let b be (-4)\/(-18) - x\/72. What is the units digit of 3\/(-6) + 22\/b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7457138327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 634 is divided by 27.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 3*f + 25 - 1, -3*p = f + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) 2\/3 (c) 2\/175 (d) 192 (e) -0.4 (f) -0.018\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8675 divided by 347?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + 0. Let n be 2\/u + (-16)\/(-9). What is the third derivative of 2*z**2 - n*z**2 + z**6 + z**2 wrt z?\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159.2145 millimeters in meters?\nAnswer: 0.1592145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pitra. What is prob of sequence pti?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.00668 and -1925031.\nAnswer: -1925030.99332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 365? (a) -0.01 (b) -0.007 (c) 0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/24 and -31\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 7:44 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + l**2 - l + 7. Let r(u) = u**3 - 12*u**2 - 29*u + 11. Let h be r(14). Let f(q) = 57*q + 171. Let k be f(h). Give p(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -38*i**5 - 165*i + 132. What is the derivative of r(k) wrt k?\nAnswer: -760*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -142803\/28 - -35706\/7. Suppose 3\/8*h - 3\/8*h**3 + b*h**2 - 3\/4 = 0. Calculate h.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2064860423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*c + 21*c + 8*c**2)*(-c**2 + 3*c - 3*c) + 17*c**4 + 83*c**4 - 362*c**4.\nAnswer: -270*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 8*s - 3*s + s. Let l(g) = 7*g**2 + 24*g - 6. Let o(k) = -8*k**2 - 28*k + 7. Let t(q) = -7*l(q) - 6*o(q). Determine t(i(h)).\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 898370*a**3 + 4*a**2 + 12451896*a wrt a.\nAnswer: 5390220*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 0, 0.2, 14, -85823, 20\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 3:15 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.1755128nm?\nAnswer: 0.0000000000001755128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -2*o + 0*o**4 + 3*o**2 + 0 + 0*o**3 + 0*o**5 - 2\/15*o**6. What is the first derivative of q(a) wrt a?\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 3*y**5\/20 - 2*y**4\/3 + 6*y**3 - 30*y**2. What is the tens digit of j(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2977, 16752, 54105, 126826, 246705, 425532?\nAnswer: 675097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (2 - 18) + 104 + -89 + 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/(s**4*s*s*s))**(-2\/59)*(s**(-4))**(-2\/15))**(-30) assuming s is positive.\nAnswer: s**(-1184\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -113*j + 2. Let s(z) = 5*z. Calculate s(w(r)).\nAnswer: -565*r + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 836 = 3*w - 8*j, -w + 292 = j. Suppose 0 = 6*n - 115 - w. What are the prime factors of n?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2938295*-214\nAnswer: -628795130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 3\/2*v**2 + v - 1\/6*v**4 + 0*v**3 + 0. What is the first derivative of r(t) wrt t?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190565 is divided by 332.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 - 3 - (21 + -27).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - -1)\/(5 + 48\/(-9)). What is the highest common factor of 300 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 4468068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 422751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 0, 2*u + i - 2*i - 2 = 0. Let c(w) = -3*w**3 - w**2. Let h be c(-1). Solve 2*x + 4 = -3*m, h*x - m - u = 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.32 (b) 0.2 (c) 191 (d) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147598?\nAnswer: 2, 11, 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 17 + 7 = -3*s, 4*t - 68 = 2*s. Let r(v) = 4*v - 25. What are the prime factors of r(t)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -1. Suppose a*x - 66 = 410. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + (5 + sqrt(21)\/sqrt(3) + sqrt(7) + sqrt(28)\/sqrt(4)*-1 + -2*sqrt(21)\/sqrt(3)*3)**2 + -4).\nAnswer: -386 + 100*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 242 + -86. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-4*(2*sqrt(170) + sqrt(170)) + 5*(2*sqrt(170) - sqrt(170)) + sqrt(170))\/(6*(sqrt(10) - (sqrt(10) - sqrt(360)*-2))))**2.\nAnswer: 17\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 701*s*u + 8218*s - 34*u + 6 with respect to u.\nAnswer: 701*s - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + 0*z**3 + z**3)*(3*z**2 + 0*z**2 - 2*z**2) + (-z - 2*z + z)*(0*z + 0*z + z**4) + 3*z**3 - 3*z**3 - 11*z**5.\nAnswer: -14*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/100)\/(-3*(-49)\/(-35))*(-14)\/(-32)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**3 - j**3 - 49*j**2 + 3*j**3 - 51*j**2.\nAnswer: 2*j**3 - 100*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075.067 nanometers in micrometers?\nAnswer: 1.075067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**4 + 1579*r - 2*r**4 - 1578*r + 0*r**4 - 31*r**2 - 37*r**2 to the form m*r + d + g*r**3 + h*r**2 + y*r**4 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/((-1)\/2*2). Let p(a) = -7 + m*a + 7*a + a**3 + 6*a**2 - 3*a. Suppose -i + 5*y = -5, 2*y + 26 = -4*i - y. Give p(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**2. Suppose -5*x = 8*m + 20, 4*m - 4 = -38*x + 39*x. Let j(c) be the first derivative of -2\/3*c**3 + m*c**2 + 0*c - 8. Give v(j(i)).\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, 4\/21, -2, -19, -0.17?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/11 + 7660786*v\/11 - 15321564\/11.\nAnswer: -2*(v - 3830391)*(v - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/44*7\/((-1421)\/319)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*sqrt(252)\/sqrt(4))\/(-3*sqrt(9)*-1) + -1.\nAnswer: -1 + 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rj when two letters picked without replacement from {r: 2, j: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4671 and 380427?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 30 = -8*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -16, -54, -116, -208, -336, -506, -724?\nAnswer: -996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2169)\/(-15906) + (-8)\/(-22))\/(-1*5)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 209 + -98. Suppose o + u = 10, o + 3*u - 27 + 9 = 0. What is the remainder when q is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3078, 12275, 27604, 49065, 76658, 110383?\n\"Answer: 3066*u**2 - u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 36 and -293070.7?\nAnswer: 293106.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -8*m + 12. Let k be y(-11). Suppose -35 = 5*v + k. Let p = -18 - v. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 582022 divided by -15.\nAnswer: -582022\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 5*q + 32, -5*q - 9 - 3 = -2*a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 139.974 - 140. Let g = 0.034 - p. Let c = 0.7 + 2.3. Is c greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from {o: 5, s: 7, d: 4, v: 2, e: 1, t: 1}.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand g - g + g - 1 + 1 + g + g + 3*g - 3*g + (g + 0*g - 2*g)*(-1 - 1 + 0) - 2*g + 0*g + g + 66*g - 85*g + 411*g + (-2 - 2 + 2)*(5*g - g - 3*g).\nAnswer: 394*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (20 - 12) + -23?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1378872 divided by 76604.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3322336*o**5 + 11981616*o**4 - 154434856*o**3 - 751089340*o**2 + 245271300*o + 3451273000 = 0.\nAnswer: -395\/94, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533134.\nAnswer: 2, 7, 113, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f*y**2 - 970*f*y + 3*f + 7*y**2 - 94*y - 2 with respect to f.\nAnswer: -2*y**2 - 970*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000052306 to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -5 + -1)*(-7)\/((-1274)\/21).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -291, -1161, -2603, -4611, -7179, -10301, -13971?\nAnswer: -18183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrw when three letters picked without replacement from wwrwwwwr.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1636, 1639, 1644, 1651, 1660?\n\"Answer: g**2 + 1635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - -8) + -13 - 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + u**3 - 18823517*u + 66*u**2 - 22*u**2 + 18823517*u + 2*u**4 as t*u**3 + d + g*u**2 + s*u + h*u**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12889098?\nAnswer: 2, 3, 37, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1399 divided by 174235?\nAnswer: -1399\/174235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3500421?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -99, 596, -0.4, 2\/11 in ascending order.\nAnswer: -99, -6, -0.4, 2\/11, 596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 40 = -0*u. Let w = -471 + 508. What is the remainder when w is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*t + 15 + 3*t - 12*t in the form z*t + d and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*k**3 + 213808584*k - 213808584*k.\nAnswer: -221*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16760\/(-37710))\/((-2)\/7). Factor 8\/3 + a*m**2 + 88\/9*m.\nAnswer: 2*(m + 6)*(7*m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/210 and 5\/12.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 617, 1214, 1809, 2402, 2993, 3582, 4169?\nAnswer: 4754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 - 2 + 10*j**3 - 4*j**2 - 5*j**3. Let l(i) = 11*i**3 - 5*i**2 + i - 5. Give 2*l(w) - 5*o(w).\nAnswer: -3*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = 64, -14*x = 5*w - 10*x - 42 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/2 + (-44)\/33. Which is the third smallest value? (a) -0.2 (b) x (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 259, 376, 495?\nAnswer: 616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 2:18 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123 + 122. Is 6\/199 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4)**1*(p**3*p)\/(p*p**(2\/17)) assuming p is positive.\nAnswer: p**(117\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 5, 21, -5, -47, 2 in increasing order.\nAnswer: -47, -5, 2, 5, 18, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 10*i**2 + 4*i + 42. Let l be y(-10). Calculate the highest common divisor of 11 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 9:06 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -975993, -976020, -976059, -976116, -976197, -976308?\n\"Answer: -y**3 - 20*y - 975972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60772882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -698523, -2 in descending order.\nAnswer: 3, -2, -698523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 226698 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: Simplify 5*(-1 + (-1 + sqrt(567) - sqrt(567) - (2 + sqrt(112))))**2.\nAnswer: 160*sqrt(7) + 640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63\/2 + 34. Calculate the common denominator of -9\/4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8331047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -393776342587.6999994753 - -393776340483.7. Let r = 2104 + b. Round r to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(190))\/(sqrt(10) + (4*sqrt(1000) - sqrt(10)) + sqrt(10)).\nAnswer: 4*sqrt(19)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 87560 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6370\/3 + 2127. Let l(s) be the first derivative of -11\/2*s**2 - k*s**3 + 12 + 0*s. What is the second derivative of l(c) wrt c?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103, -213, -323, -433, -543?\nAnswer: -653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**7))\/m**38*m\/((m*m**(-11\/2)*m*m)\/m)*m\/(m**(5\/3)\/m))**(-1\/16) assuming m is positive.\nAnswer: m**(241\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 8*x + 5. Let f be q(-19). Let p = f + 103. What is the tens digit of (121\/p)\/(1\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/17 (b) 3 (c) -6 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r + 0*r + 0*r + (-3 + 4 + 1)*(-2*r + 0*r + 4*r) + (-5*r + 14*r + r)*(2 + 3 - 3) to the form q*r + s and give q.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 5*m**2 + m - 3. Suppose -4*b + 16 = -4. Let q be h(b). Solve -s - 5 = -5*d, 3*s + q*d = -2*d + 23 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 86643 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**9)\/p**7*(p**(2\/3))**(-30\/11))\/((p**(-2\/11)*p*p*p**(-3))\/(((p*p**8)\/p)\/p**(1\/12))) assuming p is positive.\nAnswer: p**(-1019\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/13 (b) -6 (c) -0.9 (d) -62603 (e) 1 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwxwwwxww. What is prob of sequence wwxw?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (-4 + 2 - 24\/(-4)). Let m be ((-180)\/(-35))\/(u - 3\/(-28)). Find the common denominator of -17\/106 and ((-2)\/m)\/(3\/(-402)).\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 2 + 74)*(2*y - 5*y + y)*(-2 + 1 + 0).\nAnswer: 188*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -180.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 5*x + 20 = 0, 14 = 4*u - 5*x - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1549*u**2 + 434*u**2 - 284*u**2 - 520*u**2.\nAnswer: -1919*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 - 63 - (-2 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-9)*g*g**(-1\/6)*g**(-4\/3)*g**(-1) assuming g is positive.\nAnswer: g**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106 + 154. Suppose -o = -15*i + 3*i. Calculate the smallest common multiple of 2*5*2\/4 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**2 + 2962*v - 473328 = 0.\nAnswer: -3114, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 2. Let l be f(0). Suppose 4*n - 1 = 5*n. Let a = 4 + n. Solve -l*i + 20 = a*g, g - 12 = -g - i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5*u = 35, u - 8 = -0*d - 4*d. Let i be (-10)\/d*(-6)\/4. Solve -4*o = 16, -j + i*o = o - 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330986?\nAnswer: 2, 61, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 200999 and 6728?\nAnswer: 1607992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/8 - (-50)\/8. Let j = -3 - r. Is 3 a factor of 20\/6 + 3\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + 49. Suppose 15*u = 19*u + t. What is the remainder when 3 + (0 + u)*-51 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**6\/60 - 1357*l**5\/10 + 1841449*l**4\/4 - 2498846293*l**3\/3 - 101*l**2 + 2*l - 3. Solve m(s) = 0.\nAnswer: 1357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2937277529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 2)*(3*f + 3*f - 5*f) + 1 - 1 - 39*f + 9*f as a*f + v and give a.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4055604 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2397*w**2 + 65*w - 1017. Is u(26) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 43\/3 of a hour?\nAnswer: 51600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1782*k**2 + 21*k**3 - 44 + 31*k**3 + 1782*k**2 wrt k?\nAnswer: 156*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*g + 2*g + 34, -4*g - k = -68. Let m(d) = 2*d + 6. Let s be m(-3). Suppose -5*a + 48 + g = s. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3, 5, 3, -3, -13, -27, -45?\n\"Answer: -2*r**2 + 8*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 793*s - 1. Determine w(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -388887970 and -142.\nAnswer: -388888112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggptttpggdtpttppg. What is prob of picking 2 g?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -45. Let v = p - 19.97. What is v rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.7 + -16.74. Which is the fourth biggest value? (a) 1\/4 (b) j (c) 2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -195 + 28*s**5 - 9*s + 195 + s wrt s?\nAnswer: 560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-29374)\/(-8) + 129\/(-172) a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 45.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101 + 1?\nAnswer: 111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 54 = -5*i, -l = 125*i - 130*i + 37 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 427244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -38. Solve o = -4*v + 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 138560 and 41775840?\nAnswer: 83551680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -8, 0.5, 34, 1?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 13 - 18 = -5*j, 3*z = 3*j - 9. Solve 2*p + z*i + 16 = 0, -8 = 3*p - 2*i + 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 186c9 - 1f?\nAnswer: 186aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y - 19. Let v be t(8). Let n(w) = 57*w**2 - 2. Is n(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 152 - 226. Let u be (-2)\/(-4)*(-19 + 17). Find the common denominator of 55\/12 and 4\/((-160)\/s) - u\/1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11849291*u**5 - 4*u**3 - 25569792*u**2 wrt u?\nAnswer: -710957460*u**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(180) - sqrt(180)) + sqrt(180))**2 - (sqrt(5) + (4 + sqrt(5))**2 + 3).\nAnswer: -9*sqrt(5) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d + -5?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 - -62. Solve 3*f = -v + 14, -q - 7 = -3*f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/12 and (-221)\/44 - (25 - 28)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {w: 5, k: 4, p: 5}.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-168)*(-28)\/(-48).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 15. Solve 3*y = 3*z + c, -3*y - 10 + 1 = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.30474ml to litres.\nAnswer: 0.04230474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6661 - -46630\/7. Suppose 1\/7*i**2 + r - 1\/7*i**3 + 5\/7*i = 0. Calculate i.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/6153900 and -87\/51282500.\nAnswer: 153847500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 95 + 124 - 68 + v to z + r*v and give z.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622904 is divided by 73?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 28148 plus 14.22?\nAnswer: 28162.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15214, -15213, -15212, -15211?\n\"Answer: i - 15215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 204, -98, 0.4, -3?\nAnswer: 204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 11*c**7\/210 + c**5\/5 + 4*c**2. Find the third derivative of a(v) wrt v.\nAnswer: 264*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -349483, -698969, -1048453, -1397935, -1747415, -2096893?\n\"Answer: s**2 - 349489*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27, -472, -1303, -2466, -3961, -5788, -7947?\n\"Answer: -166*j**2 - j + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-4 + 0 + 10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a. Let s(n) = 30666*n**2. Calculate s(c(i)).\nAnswer: 122664*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -2.8. Let z = 5.05 - 3.58. Let h = z + -1.5. Which is smaller: d or h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1296 and 159152.\nAnswer: 12891312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 122119 and -0.08807?\nAnswer: -10755.02033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 4*i**2 + 6*i + 12. Let r be a(-3). Suppose -6*q - n = -2*q - 817, -r*q + 3*n + 609 = 0. What are the prime factors of q?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -34*h**2 + 2059*h + 893. Give d(61).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -106 + 67?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 6*l - 5*i + 3 = 0, 5*i + 3 = 3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 5*t**2 - 5*t**2)*(3 - 8 + 28)*(0 - 3 + 5).\nAnswer: -92*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 3*d + 224 = 0. Suppose -2*r = -4*m - d, 19 + 13 = r + 2*m. What is the highest common factor of r and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millimeter in micrometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 13*m + 598. Determine h(-46).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1099*r**3 + 1648*r**3 + 973 - 489 - 483 + 4314*r**3.\nAnswer: 4863*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wss when three letters picked without replacement from {s: 3, w: 5}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5223.954um in kilometers?\nAnswer: 0.000005223954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l\/(l*(l*l**(-2\/51))\/l))\/l*l*l**17*l)**(2\/145))**(-29))**(-10) assuming l is positive.\nAnswer: l**(3884\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 150*t**3 - 200*t**2 wrt t.\nAnswer: 900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovkoviyli. Give prob of sequence ikio.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0 = -4. Let u be 154\/6 - m\/3. Let r be -13 - (7 + -13) - -20. What is the greatest common divisor of u and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 10:01 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -7 - 15 - ((2 - -23) + (6 - -2))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -35252, -70844, -106436, -142028?\n\"Answer: -35592*z + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 7 = y, 3*y + y - 2*i = -10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (-18)\/(-72) + 54\/8. Which is smaller: r or 65\/7?\nAnswer: 65\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190654180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168946 is divided by 87.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3829373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from remrdrerrremmde. Give prob of sequence rem.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/8)\/((-2)\/(-8)). Suppose 125 + 1243 = 12*h. Suppose -h*m = -116*m + 2. Solve -l*p + 2*p = -m for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/5 - 2106\/15. Let n be (0 + -21)\/((-30)\/r). Calculate the remainder when n\/(-4) + 2\/4 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000177952 to 6 decimal places.\nAnswer: 0.000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, n: 1, b: 3, m: 4}. Give prob of sequence tnn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - m + 0*m - 118 = 0, 3*m = -4*q + 126. Let p = 30475 + -30442. Calculate the remainder when p is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 149*p + 74. Let h be a(6). Calculate the highest common divisor of h and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65\/68 - -12\/17. Let o = -0.05 + 2.05. What is the nearest to d in 0.1, -0.02, o?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**0*r**(-2\/7))\/(r*r\/((r**(-2\/7)*r)\/r)*r)**(-37))**(3\/28) assuming r is positive.\nAnswer: r**(642\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 1. Let s be j(4). Suppose -7*f + 9 = 3*t - 5*f, f - 2 = -t. What is the greatest common factor of t and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (-5 - (-18 + -3))) + 12 - 18.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*x - 12 = 66*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-84)*40*1\/(-2).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -9 - ((-3 - -2) + 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -3*p - p**3 - 5\/2*p**2 + 0 - 1\/12*p**4. Let q be (-10)\/4*2 - -1. Calculate v(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 296a (base 12) to base 6.\nAnswer: 34214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 12:08 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6024*o - 35970 wrt o.\nAnswer: -6024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - 4*g + 18. Let x be o(4). Solve -4*m - 38 = -x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 5*u**2 - 5*u + 1. Let h be x(-6). Let q(t) = -t**2 - 5*t + 5. Give q(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-60))\/(1 + (-10)\/9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1991115?\nAnswer: 3, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.29 in 3, -10, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-32)\/((-1024)\/48) - (-2)\/4. Solve 13 = -3*o + 4*m, o + 2*m = -3 + z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -27*j - 176. Determine f(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -66, -89, -132, -201, -302, -441, -624?\n\"Answer: -z**3 - 4*z**2 - 4*z - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 7322 - 3638 - 3684.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1187 or -3122?\nAnswer: -3122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.87 + -13.63. What is g rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1314723880 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 6*h = 4*h + 4, -2*r + 14 = 4*h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3592 + 3595.847. What is d rounded to one decimal place?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000239826733 rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-8 + 2 + 0 + 59 + -62).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1370 and 411.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170310329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -209 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8379*g**6 + 82*g**2 + 20*g - 2.\nAnswer: 1005480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 + -32. Suppose h - 10 + x = 0. Solve -h*p + 2*p = 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -12*p**4 + 119*p**2 - 235*p**2 + 2*p**3 + 120*p**2 = 0.\nAnswer: -1\/2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -72*p - 483. Let w(i) = -14*i - 97. Let m(x) = -3*v(x) + 14*w(x). Calculate m(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i - 2 + i + 100*i**3 + 2*i**2 + 5*i - 11*i**4 - 98*i**3 in the form y*i**3 + b*i**4 + k*i**2 + m + p*i and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110122200001 - -21?\nAnswer: 110122200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2178*h**4\/7 + 506154*h**3\/7 - 24940016*h**2\/7 - 15254840*h\/7 - 331200 = 0. What is h?\nAnswer: -10\/33, 72, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2832503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 736285*u - 736285*u - 14*u**2.\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1053)*-5*2 + 0 - (-3*(3 + 1*sqrt(1053)) + -2))**2.\nAnswer: -1386*sqrt(13) + 51718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 298.0766221 - 484.0766488. Let u = w + 186. Round u to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 4*w - 6. Let n be t(5). Let i = 5.26779 - 1.26779. What is the smallest value in i, -68, n?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(5 - 2 - 2). Let w be z*16 + 8\/(-4). Suppose 18*g - w*g = 80. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -304 + 303.98. Let c = -0.2 - 0.2. What is the closest to s in c, -4, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*u**3 + 3100*u**2 - 4181*u**2 - 15*u**3 + (3*u - 2*u + 0*u)*(-4*u**2 - u**2 + 4*u**2) + 2*u**3 + 2*u**3 - 6*u**3)*(3*u - 6*u + 0*u).\nAnswer: 15*u**4 + 3243*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17328*b**3 + 39*b**2 + 36340 wrt b?\nAnswer: -51984*b**2 + 78*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 0*h**2 + 8\/5*h**5 - h + 0*h**3 + 65\/12*h**4 + 10. Find the third derivative of x(l) wrt l.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1939193 and 1179.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20467499 = -28*a + 12544501. Round a to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 414, 3337, 11238, 26613, 51958, 89769, 142542?\nAnswer: 212773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -491 - -882. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 8*y - 6 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33233 + -11?\nAnswer: 33222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25036960*f**2 + 8561784*f wrt f?\nAnswer: 50073920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10111011102 + 1012212?\nAnswer: 10112101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**5 - 42625137*l**4 - 170500518*l**3 - 255750762*l**2 - 170500503*l - 42625125.\nAnswer: -3*(l + 1)**4*(l + 14208375)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34, 71, 114, 163, 218, 279, 346?\n\"Answer: 3*s**2 + 28*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -69759\/5 (b) -1\/5 (c) -0.6 (d) 20 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 544867 to the power of 1\/2, to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3660 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 952, 0.3 in ascending order.\nAnswer: -4, 0.3, 952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 4*n = -7*p + 48, p = -6*n + 50 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 0 (c) 4\/17 (d) 116 (e) -56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 380899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4882202 to the power of 1\/2, to the nearest integer?\nAnswer: 2210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -952*n**3 - n**2 - 6*n - 5. Suppose -28 = p + 24. Let a be 2\/10 - p\/(-10). Let i be s(a). Round i to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/116 or 1?\nAnswer: -5\/116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 3\/23, 10, -1\/312, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1821842 is divided by 333?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5377*c**6 + 2*c**2 - 3*c + 837 wrt c?\nAnswer: 645240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 56 = -9*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (64\/4)\/4 - (-18)\/(-5). Let s = -41 - -45. Which is the biggest value? (a) s (b) -0.03 (c) -0.2 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5430.854 hours in nanoseconds?\nAnswer: 19551074400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 707 = 3*s, 71*s = -4*j + 67*s + 1464. Solve -12 = -j*x + 355*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.949393 rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*l**3)*(l - l - l)*(3*l - l + 3*l).\nAnswer: -10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5673 divided by 5.\nAnswer: -5673\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*s - 51*s - 1554. What are the prime factors of s?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a + 13. What is t(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 - 2*t**3 - t**3)*(-864 + 158 - 313).\nAnswer: 2038*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 7532 = 1077. Let o(r) = -b*r - 2*r**2 + 1291*r. Let m(h) = -28*h**2 - 2*h. Determine m(o(v)).\nAnswer: -112*v**4 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 14*n**2 - 7*n + 8. Let s(y) = -7*y**2 - 28*y**2 - 22*y**2 - 33 + 27*y. Let u(r) = -5*s(r) - 21*v(r). Let u(m) = 0. What is m?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -80*u + 7. Let q be ((-110)\/99 - (-16)\/9)*(-6)\/4. What is n(q)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 679*i - 28*i**4 - 2*i**4 - 4*i**3 + 132*i - 127*i + 437*i wrt i?\nAnswer: -360*i**2 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 - 0.64. Let g(m) = -m**3 + 4*m**2 - 5*m + 4. Let h be g(3). Let q be 1\/(13\/2 - h). Which is the closest to 0? (a) x (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/21)\/((-5)\/60*-8)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -743 < -1129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -29, -87, -185, -323, -501, -719?\n\"Answer: -20*d**2 + 2*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**3\/4 + 183*s**2\/4 + 987*s\/2 = 0?\nAnswer: -47, -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5\/2 + 3*f**4\/2 + f**3.\nAnswer: f**3*(f + 1)*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -151370 rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -21\/257410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 234 and 54.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3 - q + q**2 + 1 + 4*q. Calculate the remainder when 27 is divided by o(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 619*z**3 - 301*z**3 - 311*z**3.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 6. Let r(m) = 135*m + 355. Let s(u) = -25*b(u) - r(u). Find the first derivative of s(a) wrt a.\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 - g**2 - g. Let f be (6\/9)\/(4\/(-6)). Let n be a(f). Solve 0 = -j - 0 + n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108816627907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 9. Let h = -6.04 - t. Which is the second smallest value? (a) h (b) -5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g + g**4 - 2*g**2 - 2*g + 17 + 2*g to the form c*g**4 + y + o*g**3 + t*g + a*g**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+39965030.2595337\nAnswer: 39965030.7595337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 527991 by -5.\nAnswer: -527991\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 6*s + 1 - 7.\nAnswer: -6*s - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -60, 1770, 1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5\/7 - 2976*i**4\/7 + 1133404*i**3\/7 - 2785440*i**2 + 2623950*i = 0 for i.\nAnswer: 0, 1, 17, 735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 50023346273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 divided by -7?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -12*u. Let t(g) = -22*g. What is a(t(c))?\nAnswer: 264*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 531c9c (base 15) to base 9\nAnswer: 7387173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 26*t**2 + 28*t - 19. Let v = 405 + -378. Let p be x(v). Which is greater: -5\/7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-60)\/(-18)*60\/50. Solve -r = -q*k + 2, -1 = -r - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 158510320 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 4*y - 96, 0*b - b - 4*y + 39 = 0. Suppose 0 = 2*m + 4*v - 172, 3*v = -28*m + 31*m - 213. What is the greatest common factor of m and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from {k: 2, b: 6, p: 7}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9557 + 5039 + 4*h + 4518.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-6) - 34\/(-6). Suppose -4*g = -d - 7. Suppose -3*a + 6*a - 45 = 0. Solve g*r + 2*r + a = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (402\/32)\/((-3)\/(-4)) - 40*(-162)\/(-8640)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (-5 - -12*(-3 - -4)). Let q(l) be the second derivative of 0 + 0*l**2 - 5\/2*l**x - 13*l. Let z(g) = -2*g. What is q(z(n))?\nAnswer: 30*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 2. Let p(s) = 0*s - 3*s - s**v + 2*s. Let i(k) = 5*k**3 - 2*k**2 + 6*k. What is -i(t) - 6*p(t)?\nAnswer: t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 946. Let m(g) = -2*g**2. What is m(s(i))?\nAnswer: -2*i**2 + 3784*i - 1789832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*o + 2743 = -10802. Is 231 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2499286108.\nAnswer: 2, 11, 73, 778109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2712*u - 428503. What is c(158)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -10 + (1 - -2 - (1 - -1)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 2. Let y = g + 1. Let n = y - -2. Which is the closest to 0? (a) 1 (b) n (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 57\/113455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 10846*c**2 - 2*c + 10831*c**2.\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7871*x + 3*h + 39 = -7872*x, 2*x - 8*h = -64 for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11095*x**3 + 17484*x**3 + 13584*x**3 - 1484*x**3.\nAnswer: 40679*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 1976?\nAnswer: 5928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 15*q**2. Let w(k) = 38812*k**2 + 2*k - 8. Calculate w(f(y)).\nAnswer: 8732700*y**4 + 30*y**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -9 + 1\/2*b**2 - 6*b. Calculate c(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -420 - -524. Solve 0 = a*u - 26*u + 390 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 4*w + (5 + 2 - 4)*(-2*w + 6*w - w) + 4 - 4 - 2*w)*(-w + w + 3*w).\nAnswer: 33*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*p**3 + 27984*p**2 - 30204*p + 8208 = 0 for p.\nAnswer: 6\/11, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572*u + 24 = -584*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 10:50 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 3*a + 4*k = 248, 5*a - 282 = 2*k. Suppose -3*m = 37 - 13. Calculate the common denominator of 7\/10 and (-2*1)\/(m\/a).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.81416 years to decades.\nAnswer: 5.581416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 - 52*s + 17. Let w be p(26). Solve w = -3*f + 4*u - 1, 3*f + u = -3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 43 = 2*m, 2*t = 5*m - 9 + 32. Let k = -4 + t. What is the second derivative of -2*s**5 + 3*s**k - 12*s + 10*s wrt s?\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a day in minutes?\nAnswer: 9720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 37?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = -6*n - 65. Let a = n - -40. Calculate the greatest common divisor of 104 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 734*q**2 + 104*q**5 - 734*q**2 + q**5 - 2*q**5 + 0*q**5 + (-6*q + 2*q + 2*q)*(5*q**4 + 2*q**4 - 5*q**4).\nAnswer: 99*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(1080\/(-12725)) - 4. Let w = -308\/9 - k. Find the common denominator of 14\/(-44)*(-15)\/7 and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, o: 1, l: 2, k: 2, r: 1, h: 1}. What is prob of picking 1 o, 1 h, and 1 k?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12\/4*(-5)\/(585\/6)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 0.2, 1.363.\nAnswer: -4\/3, 0.2, 1.363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 + 1)*(-11 - 6 + 1)*(13*q + 5 - 14*q + 8)*(2*q**2 + 1 - 1) to the form c + h*q**3 + p*q**2 + n*q and give h.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -1 (b) -21 (c) 0.5 (d) 0.52 (e) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63063 smaller than 882897\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 92617867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 992376.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/12)\/(2 + 0)*-4. Let x(c) = c**3 + 1. Let z be x(1). Suppose 0 = -z*w - 2 - 2. Is w < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3415*n - 7056*n - 5575*n.\nAnswer: -16046*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b**2 - 89 + 89. Let z(l) = 13*l**2 - 4*l**2 - l**2 + 0*l**2. Calculate z(q(w)).\nAnswer: 128*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -269\/44 + 70\/11. Let u = -0.01 + -0.99. Sort 0.2, -4, t, u.\nAnswer: -4, u, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (21 - 19) + (4 - 0)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a86 (base 13) in base 5?\nAnswer: -434412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 8.5. Let q = 16 - z. Put 5, 0.4, q in decreasing order.\nAnswer: 5, q, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 23*b - 8. Let f be u(11). Let c be f\/40 + 1\/(-4)*2. Suppose 4*q = 2*o + 6, -2*q + o + 1 = 2*q. Put 3, c, q, 0 in decreasing order.\nAnswer: 3, 0, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19629973.\nAnswer: 11, 43, 47, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s + 62. Let c(z) = 3*z + 21. Determine 14*c(g) - 5*w(g).\nAnswer: 2*g - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -179 + 359\/2. What is the nearest to -0.2 in -1\/7, 1, h?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2137.96 + 2292. Let m = l - 161. Let h = m + 7. Which is the third smallest value? (a) h (b) 1\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84232126 by -22.\nAnswer: -3828733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 9:15 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**0)**49*(r**2*r)**36)**(-2\/113))**46 assuming r is positive.\nAnswer: r**(-9936\/113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 139, -423, 5, -5 in increasing order.\nAnswer: -423, -5, 5, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3321*t - t**2 + 3321*t + 8*t**2.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.042 + -2.042. What is the nearest to 1\/7 in v, 5, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**4 + 3601*s**3 - 2*s**2 - 4632*s?\nAnswer: -24*s + 21606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**28*x\/(x**32\/x)*x**(-2\/55)*(x\/x**18)\/x assuming x is positive.\nAnswer: x**(-1102\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 98474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 3*i + 1. Let w be q(-4). Let j be (57\/285)\/((-2)\/40). Put j, -3, -5, w in decreasing order.\nAnswer: w, -3, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 405428602 to the nearest integer?\nAnswer: 20135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 880.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, d: 1, m: 2, g: 1, q: 2, l: 1}. Give prob of picking 1 d and 1 l.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 divided by 20?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -44*t - 554. Let j be u(-42). Is 1294 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 1821500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -60*((-310)\/6)\/5. Suppose 8*j = 3*j - 30. What is the remainder when 45 is divided by (-2)\/(-7) + k\/35 + j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1523687377?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.614873 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32\/(-8) + 2*4. Let y be 33\/12 + 1\/o. Solve 5*g + 10 = 0, 6*l + g = y*l + 13 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 11. Let a be 9 + -13 + 4\/(-2). Let h be c(a). Suppose -h*o + 1 + 25 = 4*i, -2*o + 7 = 5*i. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -30*j**3 + 77*j**2 - 35*j + 10. Let i(h) = 15*h**3 - 40*h**2 + 14*h - 5. Determine -5*i(y) - 2*s(y).\nAnswer: -15*y**3 + 46*y**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6333144.4 - -7\nAnswer: -6333137.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(4\/19))**(-11)*(g\/((g\/(g**28*g))\/g))**(-7))**(-30) assuming g is positive.\nAnswer: g**(121020\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2530 + 10754 = 8*f. Suppose 3*z = 7*z - f. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 513266 and 11629527.\nAnswer: 441922026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3 - -4) + (58 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24490157 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*15844.\nAnswer: -1584.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -32 + 2768?\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -10 + -2 + (7 - 1 - 14).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 20*u + 64. Let i be m(4). Which is the nearest to i? (a) 0.2 (b) 4 (c) 1\/3 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/36)\/(-4)*105\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((-22)\/(-1496)*((-45)\/42)\/(-5)). Solve 0 = z - 956 + g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**10)**(-3\/7) assuming y is positive.\nAnswer: y**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -158 + 161, 0 = 3*p + h - 118. Let t(d) = 18*d**2 - d. Let a be t(1). Let y = p - a. What is the remainder when 65 is divided by y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 3 - (-7)\/(21\/(-6)). What is the third derivative of 4*l**f + 3*l**5 - 11 + 11 - 18*l**2 wrt l?\nAnswer: 420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(1 - 10\/(-4)). Let i(c) = c**3 - 5*c + c + 7*c**2 - 5 - 3*c + c. Is i(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(1\/3)*q\/(q**(-2)*q*q))\/(q**(-1)\/q**9))**(10\/3))**(-19\/6) assuming q is positive.\nAnswer: q**(-3515\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290227*o - 13*o**2 + 11*o**2 + 0*o**3 + 2*o**3 - 1.\nAnswer: 2*o**3 - 2*o**2 - 290227*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 6)*(1 - 2 + 0) + 1 - 1 - 1 - 16 - 3 - 11 + 3 + 2 - 4)*(10*h + 25*h - 36*h - 21).\nAnswer: 32*h + 672","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -8*y**3 + 95*y**2 + 11*y + 37. What is the remainder when 1421 is divided by w(12)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32850 and 36.\nAnswer: 65700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(4200) - (sqrt(4200) - -2*sqrt(4200)*-4))\/(-4*sqrt(6)*1 - (sqrt(6) - -1*(sqrt(6) + sqrt(12)\/sqrt(2)))))**2.\nAnswer: 102400\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) - (-1*(sqrt(432) + (sqrt(432)*-2 - sqrt(432))) - sqrt(432)) - (0 + sqrt(24)\/(sqrt(24)\/sqrt(3))).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 24 = 18*n. Let s(c) = -c**2 + 4*c - 3. Let a be s(2). List the prime factors of (a\/n)\/(2\/(-126)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 49 = 6*b. Suppose 4*t - 4*o = 1836, 5*o - b*o = -6. Let n = 653 - t. What are the prime factors of n?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51619 is divided by 1780?\nAnswer: 1779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43160820?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 - 56*z - 54. Let y be o(-27). Let c(j) = 3*j**2 - 5*j + 8. Let r be c(y). Solve r*n = 6*n + 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 + -15. Let r = 2 - h. Let p be (-102)\/r - (-2)\/12. Solve 8 = -p*a - 2*w, 0 = -4*w + 5*w + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1517*o - 8 = -4*f - 1520*o, 4*o = -3*f + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**5\/60 + 7*f**4\/24 - 13*f**3\/6 - 14*f**2. Calculate t(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22144 and 585432?\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from {w: 1, v: 1, k: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2043?\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5595 - -10636. List the prime factors of t.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) 0.01 (c) -3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 6. Let y be s(6). Suppose -4*r + 0*r + 4 = y. Let q = r - -5. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 266, 443?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*s**2 - 31*s**2 - 4*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 270233227*u**6 - u**4 - 614072283*u**2.\nAnswer: 32427987240*u**3 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/3)*d*d)\/d)**(16\/7)*((d**(-4)*d)\/d)\/(d**(2\/3)*d*d) assuming d is positive.\nAnswer: d**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 170 - 5?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**2 + 23*w. Let u(o) = -6*o + 120. Let k(b) = -7*b + 100. Let x(l) = -6*k(l) + 5*u(l). Determine s(x(h)).\nAnswer: 720*h**2 + 276*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 29092?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (32 - -7) + (11 - 1) + -4 - 10\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 948.4 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.16 or 2.1?\nAnswer: -1.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -40*p - 78. Suppose -133 = -3*i - 160. List the prime factors of j(i).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = 4*m - 9*c - 304, 4*m - 304 = -2*c. What is the third derivative of 33*y**2 + 111*y**4 - y**5 - 60*y**2 - m*y**2 + 125*y**4 wrt y?\nAnswer: -60*y**2 + 5664*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 4 = -4*i, 469*y - 10*i + 14 = 465*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*f = -123*f - 84 + 1354 + 1030 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**0)**(-2))**9 assuming s is positive.\nAnswer: s**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -92784 (base 11) to base 9.\nAnswer: -225621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 12 = -l. Suppose 0 = l*x + 3*x - 2415. Suppose -i - x = -6*i + 5*q, 0 = -3*i - 4*q + 193. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101 + -97. Solve k*o - 2*o = 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(78) + 2*sqrt(78)) + 6*sqrt(78)*3)\/((sqrt(192) + sqrt(192)*-2*-3)\/sqrt(8)).\nAnswer: 27*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*d - 2*u + 84 = 0, -d - 4*u + 33 = 0. Let g = 46 - d. Is (1521\/45)\/(g\/5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*n + 13*n - 18*n + 504356. List the prime factors of n.\nAnswer: 2, 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 6019 = -3*s, -s + 6*z + 2003 = 5*z. Suppose -3038 = -4*j + s. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1111*f**4 + 586*f**4 + 523*f**4 - 713*f**3 + f**2 + 2*f + 1 to the form p*f**2 + k*f**4 + v + b*f + y*f**3 and give y.\nAnswer: -713","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 divided by 926?\nAnswer: -24\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.755 + -0.245. Is s <= 5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8190 and 183820.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 1. Let v be -8 + 5\/((-5)\/(-2)). Calculate the remainder when n(v) is divided by (2\/3)\/(5\/30).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -8 (c) 1 (d) 1.01 (e) 1\/6 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 609453 greater than or equal to 609452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 276937?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15005896 and 912?\nAnswer: 90035376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(187)\/sqrt(11))**2 + (sqrt(17) - (sqrt(153) + 0) - sqrt(17)).\nAnswer: -3*sqrt(17) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*(c*c**(2\/33)*c)\/c*c)**14\/(c**(-1\/3))**(-22\/3))**(-25\/2) assuming c is positive.\nAnswer: c**(-67325\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25524?\nAnswer: 2, 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16\/5 + -59\/20. Let f(m) be the first derivative of 1 - h*m**4 + 0*m + 1\/3*m**3 + 0*m**2. Let f(r) = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 3 = 0, -4*k + 9*m + 9 = 14*m for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0297 - 1.0297. Is 18.2 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20642318?\nAnswer: 2, 17, 607127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 b when three letters picked without replacement from bcbcccbkkbukuk.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26 - -1.5.\nAnswer: 27.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54 + -109. Let u = -57 - b. Let q be (0 - -1)\/(14\/4). What is the smallest value in -3, u, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20635 rounded to the nearest one hundred?\nAnswer: -20600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3509 - 1494. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -25, -23, -5, 35, 103, 205, 347?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-1*15\/(-10)). Let w be ((-7)\/(49\/14))\/i. Sort 17, -8, w in decreasing order.\nAnswer: 17, w, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*24\/80 - (-2802)\/(-80)) + (-48)\/128.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, 19, -74, 7, 0 in increasing order.\nAnswer: -74, -7, -5, 0, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4 - 7*q + q**2 + 0*q - 3*q**2 + q**2. Suppose 52 - 160 = 4*t. Let m = t - -21. Determine y(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {i: 5, n: 3, f: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 divided by -156?\nAnswer: 53\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)\/p**(-4\/3))\/((p\/p**(2\/5))\/(p*p\/(((p\/(p**7\/p))\/p)\/p*p)))*(p**3\/(p*p*p*p**(2\/15)*p))\/(p*p**6*p**(1\/3)) assuming p is positive.\nAnswer: p**(-41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cyugxygz. Give prob of picking 1 x, 1 g, and 1 u.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3023910329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.122 - 0.122. Let x = -4.9763 + -0.0237. Which is the smallest value? (a) x (b) u (c) -1\/5 (d) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 10*o**2 - 11*o - 11. Let p be r(-11). Let l be p\/(-110) - (-1 + 1). Let s = 113 + -562\/5. Put l, s, 1\/4 in ascending order.\nAnswer: l, 1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**3\/3 - l - 1. Let s be 6\/4*8\/6. Suppose s + 8 = -5*r. Determine h(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40126883\/165361125 - -2\/440963. What is the common denominator of a and 56\/45?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -o + 6, -2*o = -2*b + o - 8. Does 20 divide ((-245)\/b - 1) + 37 + -41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2573 and 415.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 40352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5781, -3365, 683, 6363, 13675, 22619, 33195?\nAnswer: 45403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8705*j = 8715*j - 290 for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16955859\/11 or 1541441?\nAnswer: 16955859\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*u - 224*u + 101*u + 38*u + 39*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -23?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (0 + -4 - (9 - 7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 225*i**2 + 2*i - 4025 wrt i?\nAnswer: 450*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m = 21*m + 4*m - 336 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25207, -50423, -75655, -100909, -126191, -151507, -176863, -202265?\nAnswer: -227719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggxxsgssxxxgsg. Give prob of picking 2 g.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 414 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/5 + (-1965)\/165.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + -19 + -13 + 15 + -66.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1878)\/(-90) - 2\/(-15). Suppose -2*o - d*j + 18*j - 6 = 0, 0 = 4*o - 3*j - 24. Solve s - 7 = 3*x - 0*s, o = 3*s for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-34870192)\/(-22176)*(-3)\/7*1. Let c = -4707\/7 - k. Let t = 6\/71 + 10543\/426. Find the common denominator of c and t.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 492000.9 decades to years.\nAnswer: 4920009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y**(4\/9)\/y)*y)*y\/y**(5\/2))\/(y*y*y**3*y**(-2))*((y\/((y*y*y**1*y*y)\/y))**(-5\/12))**(-16) assuming y is positive.\nAnswer: y**(-469\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.117 take away 0.6701?\nAnswer: -12.7871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 413 + -412. Let w = 97459 - 13254483\/136. Let s = w + 3\/8. Which is smaller: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 157530 by -15.\nAnswer: -10502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.09 - -0.05. Let g = -0.96 + t. Let u = -3 - g. Put 1\/7, 4, u in ascending order.\nAnswer: u, 1\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20940 - -20943. What is the closest to 10 in a, -7, 5, 3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -210 + -1322?\nAnswer: -2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5670828 at least as big as 5670828?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 + r**2 + 181288*r - 25 - 4*r**2 - 181288*r + 7*r**2.\nAnswer: 6*r**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3012? (a) -5 (b) 1\/12 (c) -852\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1328298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44402916 and 4011.\nAnswer: 310820412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 9*g**8\/28 + g**4 - 40*g - 6. Let y(w) be the first derivative of q(w). Find the third derivative of y(v) wrt v.\nAnswer: 2160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 66*p + 505. What is n(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 5. Let m be i(0). Suppose l = g + 2*g - 19, -m*g + 45 = l. What is the remainder when 46 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2200)\/30*(-18 + 56)\/304.\nAnswer: -55\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/9, -0.132, -2?\nAnswer: -0.132","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -727*w**2 + 41442*w - 251. Give o(57).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4379708 to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27219351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -16. Suppose -w + 44 - 7 = h. Suppose 0 = -3*m - 4*l + 34, -4*l + l - w = -4*m. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1170059\/970074 + 3\/15398. Which is greater: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*o + 5, 3 = 8*o - 9*o + 5*d. Solve -4*b + 12 = 4*k, -k = -o + 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 38?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 - 15*q**4 + 9*q**4 - 4*q**3)*(9 - 9 - 4*q + (1 - 3 + 0)*(-q - q + q)).\nAnswer: 12*q**5 + 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.48591ng to micrograms.\nAnswer: 0.02848591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*h + 65*h - 141*h + (-2*h - 2*h + 3*h)*(2 + 0 - 3) - 2*h + h + 3*h - 5 + 5 + 4*h.\nAnswer: -45*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 - -42. Suppose 5*l - 9 - 16 = 0. Let v = 31.4 + -31.8. Which is the third biggest value? (a) l (b) v (c) t (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x + 130. Let z be t(23). Find the second derivative of n - 86 + z - 7*n**2 - 31 - 2*n**3 + 15 wrt n.\nAnswer: -12*n - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22049347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m - 38 = -31*m + 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 30784 = -58*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43956 divided by 14652?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-108 + -24)*(-3 + 54\/(-4)).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-1\/28))\/(s\/s**1*s*s) assuming s is positive.\nAnswer: s**(-27\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p + 6*p - 1998 = 0. Which is smaller: p or 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185 = -2686*w + 2723*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13039518100 rounded to the nearest one million?\nAnswer: 13040000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(4*(-12)\/144)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*x + 4, s - 4*x + 18 = 6*s. Suppose 4*w = 4*k - s*k + 4006, 1009 = w + 2*k. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 15 = 0, -8*j - 56 - 2 = -2*x + 12 - 2 + 2 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -1. Let t(a) = a**3 - 9*a - 2. Calculate -6*c(z) + t(z).\nAnswer: z**3 - 9*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 497010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*i**2 + 5148490*i - 3432320 = 0. Calculate i.\nAnswer: 2\/3, 343232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 300007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q. Let v(p) be the first derivative of p**5\/40 - 23*p**3\/3 + 14. Let r(z) be the third derivative of v(z). What is -5*b(c) + 4*r(c)?\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -41 + 17 + 723*t**3 - t + 22 + t as n + u*t + q*t**3 + o*t**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -4 + (5 - (-1 + 4) - -15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c**4 + 2*c**4 - 5*c**4 + (-c - c + 0*c)*(0*c**3 + c**3 + c**3) - 2*c**4 + 2*c**4 + c**4)*(6*c - 15*c + 46*c).\nAnswer: -444*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4577 + 45691\/10. What is the common denominator of 73\/46 and r?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 432 and 378.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -26 (c) 4.22 (d) 1\/7 (e) -5 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 251568 and 91224?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/3*30\/2 - 4. Let o be (2 - -6) + -5 + d + -6. Let r be (-12)\/2*-1*(o + 1). Let p(a) = -a**3 - 5*a**2 + 5*a - 7. Give p(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -372 + 372 - 15*o**2 + 152*o**3 + 71*o**2 - 100*o**3.\nAnswer: 52*o**3 + 56*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 2*f - 1. Suppose -4*x + 16 = -2*k, 2*x - 5 - 3 = 5*k. Let i(s) = -x - 2*s - s + 4*s. Let h be i(7). Calculate v(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*t - 39*t + 2*x = 4, 2*t - x = -2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 9*r**2 + 7*r + 10. Calculate j(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 423 - -718. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4713)\/(-7038) + 2\/(-3). Let i be (21\/(-345))\/((-204)\/33245). Let n = i - q. Find the common denominator of 59\/10 and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 32\/139945, -3\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1560070376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -367429 times -2\nAnswer: 734858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/25 - (-18)\/(-5). Let l = 8.4 - 8. What is the closest to -1 in l, k, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 35, 1, -2, 17, -6, 0 in descending order.\nAnswer: 35, 17, 1, 0, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - 136?\nAnswer: -12d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16\/20*(-70)\/(-4) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60366014 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a micrometer in nanometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 0 + 0*r**3 + 17\/12*r**5 + 5*r + 3*r**2 + 0*r**4. Let c(w) = -w**2. Determine c(i(n)).\nAnswer: -7225*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -0*q. Suppose -4*r = -q*r. Find the second derivative of 0*s - 3*s + r*s**2 + 4*s - 2*s**2 wrt s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2902544 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/4 + 21\/14. Suppose 0 = 3*u - 5*d + 7, 3*d = 9*u - 5*u + 2. Suppose u = m - v. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 170 = 7*p. Solve 25*c = p*c - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 9*c + 6. Let p be u(9). Let o(f) = -5*f**2 + 1 + 0*f**2 + 6*f + p*f**2. Determine o(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v = -164*y + 162*y - 60, v = 4*y - 6 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11, -3\/7, -2\/9, -6\/13 in ascending order.\nAnswer: -1, -6\/13, -3\/7, -2\/9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 977 + 2615*o**3 + 3262 - 485 - 76 wrt o?\nAnswer: 7845*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 42 + -1?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -20 + -1 + 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -14. Suppose -z = -n - n + m, -4*n = -4. Suppose z = -0*p + 5*p - 35. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2754 >= -2756?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -6, b = 1107*a - 1106*a - 31. Solve 0 = -17*z + a + 34 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-264)\/77)\/(-3))\/((-12)\/154*-11)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x**2 - 43 - 3*x**2 + 42)*(-109*x + 6*x + 2*x - 33*x) to the form p*x**2 + j + z*x**3 + f*x and give f.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2164.133 - 2165. Let r = 0.133 - a. What is the closest to 3\/2 in -5, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**4 + 2*d**2 - 2*d**2 + (1 - 1 + d**2)*(3*d**2 + 0*d**2 - 5*d**2))*(3*d - d - 4*d).\nAnswer: -4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j. Let x(p) = 107*p + 265*p + 1 - 1 + 59*p. Calculate x(h(g)).\nAnswer: 1724*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6*-10*5\/(-30) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, 6607, -4 in descending order.\nAnswer: 6607, 62, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 11*f**2 + f + 6. Let n be s(-11). Suppose -7*b = -4*b - 15. Put -1, n, b, 3 in decreasing order.\nAnswer: b, 3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 5*z, 3*z = -4*b - z + 28. Let r(g) = b - g + 5 - 6. Let n be r(-5). Calculate the greatest common factor of 72 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + -2. Let c be ((-2)\/(-4))\/((-5)\/80). Let i = c - p. Solve h + 3*z + z + 11 = 0, -2*z = 2*h + i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 364980 divided by -1155\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/5425 and -47\/1550?\nAnswer: 10850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 11\/17, -0.97, -0.1, -5?\nAnswer: 11\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, k: 2, j: 1, m: 4, i: 8, z: 3}. Give prob of sequence jkcz.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, 0.352, -3\/5, 20, -3?\nAnswer: 0.352","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 8*j**2 - 197*j - 187. Let f be i(26). Solve 30 = -4*a + 2*p, -10 = -f*a + 104*a + 3*p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/2 (b) 5 (c) 6\/11 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 747 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 22*h. Let x(l) = -6134*l + 6134*l - 7*l**2. Determine s(x(z)).\nAnswer: -154*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -48012, -48017, -48024, -48033, -48044, -48057?\n\"Answer: -z**2 - 2*z - 48009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 80*h**3 - 3*h**2. Let g(n) = -1520*n**3 + 56*n**2. Give 3*g(y) + 56*k(y).\nAnswer: -80*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 366194400 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6918546092?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3942, 4\/9, -4 in decreasing order.\nAnswer: 3942, 4\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*4.7411402\nAnswer: 0.47411402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 132*f**2 - 276*f - 2034. Calculate g(-130).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -80 + -61 - (-82 - -11).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*o = 8, -2*o = a + 2*a - 4. Suppose -52 = -156*k + 104*k. Suppose a = 3*h + c - k, -4*c + 5 = -11. Let w(d) = 20*d**3 + 2*d**2 + d. Calculate w(h).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4662, -9408, -14130, -18816, -23454, -28032?\nAnswer: -32538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*t - 12 = 0. Let a(y) = 147*y - 6. Let s be a(t). Calculate the greatest common factor of s and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.036 and -536.\nAnswer: 19.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536 is divided by 109.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 294*m**2 + 8145*m - 59400.\nAnswer: (m - 264)*(m - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -147 + 249. Suppose -115 = -7*x + d. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.5 - -16971877.\nAnswer: 16971880.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2296, 10, -5 in descending order.\nAnswer: 2296, 10, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(216)*-4 + sqrt(216))\/(1*sqrt(108)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8*j**2 + 2*j**3 + 0 - 3*j**3 - 10*j - 2. Let y be p(8). Is 15 a factor of (y\/4)\/((-1)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(2\/7)\/m)\/m)**(9\/7)*m**(1\/7)\/(m**(-3\/5)\/m))**(-12\/7))**(-1\/16) assuming m is positive.\nAnswer: m**(-339\/6860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(5))*-1)**2 - sqrt(240)\/sqrt(12).\nAnswer: 4*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 88*d**3 - 2*d**2 + 97*d - 368. What is the hundreds digit of g(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7072 and 1989?\nAnswer: 63648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 201 + -197. Calculate the remainder when 31 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5651*b - 80. Let n(q) = -3189990*q - 45168. Let h(c) = 5*n(c) - 2823*w(c). Let l(m) = -m**2. What is l(h(u))?\nAnswer: -7969329*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + -3 - (-18684)\/(-112). Let g = h + 701\/4. Factor 32\/7 + 4\/7*b**3 + 48\/7*b + g*b**2.\nAnswer: 4*(b + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 6:13 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c + 4 = 0. Let f(v) = -v**3 + 5*v**2 + 15*v - 2. Let m be f(7). Suppose -20 = -m*z + 9*z. Sort -6, c, z.\nAnswer: -6, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110 - -127. Solve -4*j + p - 13 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. Suppose 0 = 4*w - 0*m - m - 1, -2*w + 5*m = 13. Let h = 3 - w. Calculate the remainder when h is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-5)*(-940)\/2256?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 5:22 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -345 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01147 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3410240 (base 6) to base 15.\nAnswer: 36179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -189859.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**3 + 195*c**2 - 2481*c - 2679 = 0. What is c?\nAnswer: -1, 19, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 297182 and 29932?\nAnswer: 4160548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1870 - -16695. Let u be ((-1)\/2 - a\/10) + -4. Let o = -14931\/10 - u. What is the common denominator of o and 109\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 858 a factor of 4235946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66030.4 + 66030. Let m = 0.1 + -0.2. Let v = -0.2 - m. Which is the second biggest value? (a) -3 (b) q (c) v (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1581 (b) -1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101 - -100?\nAnswer: 100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*c**5*x**3 - 991*c**5*x - 2*c**2*x**3 - c**2*x + 75*c*x**3 + 2*x wrt c.\nAnswer: 300*c**2*x**3 - 59460*c**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*n + 37*n - 1820 = 0. Let h = 850 + n. What is the greatest common divisor of 237 and h?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12)\/20 + 442512\/70?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1748175557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 14924782 and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19729058 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 20*i + 53. Let a(n) = 3*n. Determine l(a(f)).\nAnswer: 60*f + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -375a3 (base 12) to base 2.\nAnswer: -10010010110001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 4556398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25088 - 12558 + 2*t - 12530.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**4\/4 - 26*v**3\/3 - 49*v**2\/2 - 26*v - 234. Give a(-24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184, 369, 554, 739?\nAnswer: 924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 74\/110 - (-48 + 47)) + (-330)\/550?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 16) + 7 + 7 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*f + 556776 = 19*f. Calculate the greatest common factor of f and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54701431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (478\/(-5))\/(3\/(-15)). Let h = 573 - m. What is the remainder when 372 is divided by h?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1927 or -1926?\nAnswer: -1926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -10*o**2 - 25*o - 14. What is the derivative of p(x) wrt x?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = b + 30, -18*b - 191 = -5*o - 190 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 8. Let m = -15.695 - -0.095. Let s = m - -15.8. What is the smallest value in s, -0.2, o, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/4)*f\/(f*f**(-3)\/f*f))\/(((f**(-2\/5)\/f)\/f)\/f*f)**32 assuming f is positive.\nAnswer: f**(1601\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7103000012 - 4.31.\nAnswer: -5.0203000012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 7:30 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ada + 1a8?\nAnswer: -932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 142774881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 88355539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 8. Let b(p) = p**2 - p - 2. Let c be b(-5). Suppose -f - 3*f + c = 0. What is the remainder when f is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 - -70. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496.60906 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1301295375+-41328\nAnswer: -1301336703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s - 6. Let a be g(-3). Let j be -7 + (7 + -4 - a). Is j\/6 - (-11627)\/21 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 {y: 2, h: 7}. Give prob of picking 2 y.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (4 + 5 + -4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 138326*c + 10. Calculate l(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (66 - 65)*1*2. Find the third derivative of 8*a**5 - 4*a**2 - 22*a**s - 12*a**2 + 9*a**3 wrt a.\nAnswer: 480*a**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -7*f**2 - 165*f - 605. What is m(-4)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12728 or 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w. Let z(d) = 6*d. Suppose 2*f - o = 6, f + 3*o = -o + 21. Calculate f*z(u) - 35*q(u).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-13 - ((-2 - 12) + 10)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -149 - -168. Let x(z) = 12*z**2 - z. Calculate the remainder when u is divided by x(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17119*o**2*w**2 - 2*o**2*w + o**2 - 750*o*w**2 - 26*o*w wrt o.\nAnswer: 34238*w**2 - 4*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5306230.\nAnswer: 2, 5, 293, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 - -83. Calculate the greatest common divisor of 21 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 149 = -725. What is the lowest common multiple of 2\/9 + ((-3432)\/54)\/(-11) and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3804*p**2*q**3 - 2*p**2*q**2 + 41*p**2*q - 7*p**2 + 2*p*q**3 + p*q - 10236246*q**3 wrt p?\nAnswer: 7608*q**3 - 4*q**2 + 82*q - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**3 + 2*a - 1. Suppose -m = x + 1, 4*x = -2*m - x - 17. Suppose -m = 3*u + 2. What are the prime factors of l(u)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 2:51 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a. Let k(o) = -141 + 59 + 82 - 13*o. Give k(x(n)).\nAnswer: -26*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 117 + -68. Let r = -43 + c. Suppose 2 - 14 = -r*q. Solve 5*d - 22 = -q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6688)\/(-2736))\/(4 + (-200)\/45).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*((-6)\/(-4) + -2). Let a = 33 + -31. Suppose 0*t = 2*t - a*h - 24, 4*t + 4*h - 24 = r. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/3)\/(12\/342). Let f = x - -21. Suppose f*l**2 - 9*l + 4*l**2 - 3*l**2 + 6*l = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + y - 307052 = 0, 3*w + 16*y + 307040 = 11*y. What is w rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h + 11. Suppose 0 = 2*g - 4. Let s be (-2)\/g - 20\/(-2). Let t(u) = -2*u + 5. Let z(j) = s*t(j) - 4*c(j). Differentiate z(f) with respect to f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*20\/(-14)*130\/((-31980)\/861)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g - 3. Let x be l(2). Let b(j) = -2*j - 9. Let i(r) = -r - 4. What is x*i(s) + 4*b(s)?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m - 3*y = -10*m - 12, 2*m - y = -1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3*-7\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*p + 7, -3*o + 3 = 2*p - 4. What is the greatest common divisor of o and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017342 + 1.0107?\nAnswer: 0.993358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(228)\/(sqrt(48)\/sqrt(4)) + 4 - (-4 + 1 + sqrt(2736) + -4 + sqrt(2736))**2.\nAnswer: -10989 + 342*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 4 - 4. Suppose 0 = -z + 5*z + 2*i - 92, -y*i - 76 = -4*z. Suppose 3*w - 4*o + o = z, w - 3*o = 9. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4990 times -0.2?\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 116 = -4*g, 0 = -6*h + 10*h - 2*g - 104. Suppose 12*l - 225 = h. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -100*p**2 - 466*p + 7. Let h(z) = 67*z**2 + 310*z - 5. Let v(f) = -5*b(f) - 7*h(f). What is the second derivative of v(t) wrt t?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -224664*u. Let k(w) = 7*w + 3. Determine k(c(i)).\nAnswer: -1572648*i + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1841*x**2 - 3*x**3 + 0 - 1848*x**2 + 2 - 40*x**3 to the form i*x**3 + y*x + t*x**2 + g and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a2 + 974?\nAnswer: a46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -252 + 456. Let y = -204 + j. Sort 9\/2, y, 1 in descending order.\nAnswer: 9\/2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -108166 - -108161. Let w = -29 - -20. Put r, w, -1 in descending order.\nAnswer: -1, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 204 - 192 = 5*a - 392, -m - 1 = 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*t = -20, -6 = -5*t + 14. Let a be (0 - 2) + 16\/n. List the prime factors of 44 - (-12)\/(-8)*a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4\/7 - 1832*u**3\/7 + 65756*u**2\/7 - 568752*u\/7.\nAnswer: -4*u*(u - 17)**2*(u + 492)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1034?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -5\/3*u**3 + 0*u - 25\/2*u**2 + 47. Solve b(k) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**3 + 3*l**2 + 2*l + 1. Let b(y) = y**3 + 2*y**2 + y + 2. Give 3*b(p) - 2*r(p).\nAnswer: -p**3 - p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/6*(-975)\/260*12\/(-20). Which is the fifth smallest value? (a) 0 (b) 0.1 (c) -0.5 (d) -55\/7 (e) g\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 107, 106, -83, -568, -1457, -2858?\nAnswer: -4879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 166 and 13127\/79 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f + 51. Let s be t(-8). Let m be (-120)\/(-56) + 1\/(-7). Solve s = w + 5*z, 0*z + z = -m*w - 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3016792, -6033809, -9050826, -12067843, -15084860, -18101877?\n\"Answer: -3017017*r + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04053 and 0.3?\nAnswer: 0.012159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.104443 + 396794665.\nAnswer: 396794665.104443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 108936 divided by -6052?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4597 = 5*i, -12698*i = -4*z - 12703*i + 9189. What is the least common multiple of 21 and z?\nAnswer: 6888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -133*b**3*t**2 - 132*b**3*t + b**2*t wrt t?\nAnswer: -266*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/216 (b) 0.5 (c) -0.2 (d) 25 (e) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 3*f**2 - 3*f + 2*f**2 - 2. Let l(s) = -s**3 - 5*s**2 + 3. Let b be l(-5). Is o(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1529 is divided by 1503.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77) - (sqrt(77) + sqrt(77) + -2*(sqrt(77)*-3 - sqrt(77))) - sqrt(77)))\/(sqrt(1792) + sqrt(7))*2.\nAnswer: -18*sqrt(11)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j + 36 - 1 + 3*j + 5*j.\nAnswer: j + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1ca8387 - 1?\nAnswer: 1ca8386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1\/2, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -366?\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 28*w + 3*w**4 - 60*w**2 + 52*w**3 - 5*w**4 - 4 - 13*w**4 - w**4 = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -32*q - 15. Suppose -6 = 5*g + 19. Let k be s(g). Suppose 3*j + 2*t - k = 0, 2*t + t + 114 = 2*j. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = y + 31*o - 32*o, 3*y + o = 57. Let i be -5*-1*36\/10. What is the greatest common divisor of y and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-1)\/2*2). Let u be t\/3 + 148\/12. Is -14*-2*69\/u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 2*v**2 + 4*v - 4. Suppose 5*u + 0*y - 3*y = -16, u + 4*y - 6 = 0. Let s be u\/((-1)\/(-2)*1). What is the units digit of g(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -550522, -1101042, -1651562, -2202082, -2752602, -3303122?\n\"Answer: -550520*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 325*d + 320.\nAnswer: 5*(d - 64)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 91*a**3 + 1031*a**2 + 2*a - 985992 wrt a.\nAnswer: 273*a**2 + 2062*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*q - 167*q + 3135 + 1025 = 0. Solve -q*b - 84 = -44*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 11*i**2 + 9*i + 17. Suppose 9 - 24 = -3*v. Let n(j) = v*j**2 + 2*j + 3*j - j + 0*j + 8. What is -6*m(k) + 13*n(k)?\nAnswer: -k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 473*m + 3977 + 23804 = -7110 - 3895 for m.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwbww. Give prob of picking 1 b and 3 w.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 107.68 + -111. Let f = k - -2.92. Which is the second biggest value? (a) f (b) -3\/2 (c) 4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 597 and 12135219?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 478 - -704. Suppose 0 = y - 2*t - 359, -5*y + 568 = -t - p. What are the prime factors of y?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**4\/9 - 9136*h**3 - 657958*h**2\/9 + 173620*h - 822400\/9 = 0.\nAnswer: -10, 1, 41120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + 2*sqrt(80) + sqrt(80) - sqrt(80)) - (1 + 1*(-2 + sqrt(320)))**2.\nAnswer: -321 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 117140*f**4 + 29541*f**2 wrt f.\nAnswer: 2811360*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4166256 (base 8) in base 13?\nAnswer: 2cab16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*b - 6*b - 5*b)*(b + b + 2*b**3 - 4*b**3) in the form k*b**2 + r*b**3 + t*b**4 + f*b + u and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*s + 32*s - 190*s.\nAnswer: -300*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.094 + 0.006. Let m = -0.06 - -0.56. Put d, 1\/7, m, 0.4 in descending order.\nAnswer: m, 0.4, 1\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 2, c: 10}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1cc012 (base 16) in base 12?\nAnswer: -76a46a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5, -1, -35, -8.\nAnswer: -35, -8, -5, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3258 and 37830267?\nAnswer: 1629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, 4559 in ascending order.\nAnswer: -6, -1, 4559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**4 + 4*i - 15*i + 7*i**5 + i**4 wrt i.\nAnswer: 140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7461 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 259078818, 259078822, 259078826, 259078830, 259078834?\nAnswer: 259078838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1094 is divided by 135.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 7 - 4. Let x(i) = -i**3 - i**2 + 235*i + 760. Let w be x(-14). Solve -5*l = -z*u + w, 3*u + 9 = -4*l - 0*l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 3*b - 4. Let f be m(3). Let n be (0\/f - 3)*-1. What is the third derivative of 9*y**3 + 6*y**n - 4*y**2 + 4*y**5 - 15*y**3 wrt y?\nAnswer: 240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/5, -0.3, 1\/3, 0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.065198773 - 0.0652. Round g to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**6\/3 + 133*x**4\/2 + 749*x**3\/3 - 41. What is the third derivative of s(a) wrt a?\nAnswer: -120*a**2 + 1596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 11*a - 21. Let f be v(5). Let w(q) = q - 1. Let o be w(7). What is the highest common factor of f and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*s + 58 - 7 = 0. Which is smaller: 7\/41 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235384*v**2 + 77*v**3 + 235366*v**2 - 470750*v**2.\nAnswer: 77*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 4. Suppose 0 = 4*y - 5*y + 9. Let v be z(y). Solve 0 = -w - v*a + 20, a + 2*a - 19 = -2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j**2 - 12*j - 12. Let a(d) = -5*d - 5. Let k(i) = -6*i - 6. Let r(q) = 5*a(q) - 4*k(q). Let x(v) = -c(v) + 12*r(v). Let s(m) = m**2. Give s(x(h)).\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z + 7. Let k(m) = 4*m - 7. Let j(x) = 3*a(x) + 2*k(x). What is the remainder when 44 is divided by j(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -405 + 399. Let u(s) = -7*s - 12. Let p(y) = 8*y + 9. Let o(v) = 8*v + 10. Let j(l) = 4*o(l) - 3*p(l). Let b(a) = 5*j(a) + 6*u(a). What is b(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10208 is divided by 1457?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 16.3, 3\/8, -2\/5 in increasing order.\nAnswer: -2\/5, 3\/8, 16.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*z - 114, -4*z + 2*g = 15 - 231. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2*w - 5)*(-w**3 + 11*w + 4*w - 7*w) in the form j*w + k*w**2 + m*w**4 + d + y*w**3 and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 13*r = 3*w + 14, 2*w = -r + 2. Let f(p) be the second derivative of 27*p + 6*p**3 + w - 16*p**2 - 1\/3*p**4. Factor f(d).\nAnswer: -4*(d - 8)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2167248 divided by -541812.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2080564.69 rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**3\/7 + 15944*k**2\/7 + 47850*k\/7 = 0.\nAnswer: -3, 0, 7975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - h = -2, 4*h - 3 = -3*m + 2. Calculate the remainder when 13 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289643062?\nAnswer: 2, 3371, 42961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wffwx. Give prob of sequence wf.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -3 - 1\/9*r**3 + 1\/15*r**5 + 1\/18*r**6 + 0*r - 1\/12*r**4 + 0*r**2. Factor h(b).\nAnswer: b**2*(b - 1)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -355 divided by -71\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187789 - 65653 = -24*q. Is q greater than or equal to -5089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0033 - -406.9967. Let p = -395.5 + o. Which is smaller: p or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -779*q**3 + 193*q**3 + 197*q**3 + 519 + 199*q**3 + 188*q**3.\nAnswer: -2*q**3 + 519","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s**3 - 38*s**2 + 56*s - 18. Let c(j) = 2*j + 1. Let f(h) = b(h) + 2*c(h). Suppose f(k) = 0. Calculate k.\nAnswer: 1\/3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a gram in milligrams?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 = 49*d - 36*d + 18*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275870709?\nAnswer: 3, 19, 1613279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m - 2*m**4 + 0*m)*(4 + 2 - 5)*(1360 - 650 - 656)*(-1 - 1 + 0) as t*m**2 + n*m**4 + r*m**3 + i + y*m and give n.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3*sqrt(119)*1*1)\/((sqrt(49) - -5*1*sqrt(49))\/sqrt(7))*3*-6)**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 44 - 54) + 3.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 3:42 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h + 3. Let n be y(4). Let q(o) = 3*o - 9. Let i(a) = -2*a + 4. Let c(x) = n*i(x) - 4*q(x). Let d(t) = -t**2. Determine d(c(u)).\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5)*b)**4\/(b*(b\/(b\/b**(-1\/7)))\/b)**(-1\/54) assuming b is positive.\nAnswer: b**(-6049\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57424 and 163984.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 = -26*s + 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/60)\/((532\/(-24))\/7).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1150*n - 1193*n + 172. Let p(k) be the first derivative of -1\/20*k**n + 3\/10*k**2 - 2\/15*k**3 - 5 + 0*k. Let p(b) = 0. Calculate b.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttktggtkt. Give prob of picking 4 t.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -p - 46, -2*n + 3*p + 1 - 17 = 0. Let m = n + 19. Solve 2*i - m = -0*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -0.0518893437.\nAnswer: 0.0481106563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4478849707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {r: 4, l: 7, n: 1, o: 2, t: 3}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rl when two letters picked without replacement from {r: 2, l: 9, i: 7}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3719271 by 2.\nAnswer: -3719271\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -8173*w + 974*w - 1968*w - 4864*w - 839*w + 0*w + 0*w - 2*w + (w + 0*w + w)*(-7 + 3 + 2) in the form v + z*w and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.11179767729 and -637.\nAnswer: -636.88820232271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r - 529 + 266 + 263.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 5 (c) -0.29 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2)*x)\/x**(-4\/3) assuming x is positive.\nAnswer: x**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -d2a (base 15) in base 4?\nAnswer: -232111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.9928 - -1091.1228. Let m = 1073 - l. Round m to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 8. Let v be b(4). Suppose -100 = -v*r + 68. Calculate the greatest common divisor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/9*-5*63\/(-105). Let k(h) = 10*h + 23. Calculate k(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 398 + -206. Let f = 61 - v. What are the prime factors of (-4 - f)\/((-1)\/(-2))?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58623\/5 - -11725. Which is the nearest to -0.13? (a) 86 (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 435\/(-765) - (1\/(-3))\/1. Let x = -9\/34 + h. What is the third biggest value in -0.06, x, 3, 0.4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y*y**(-6)))\/y*y\/y**(4\/13)*y)**(-1\/3))**(-2\/31))**(-22) assuming y is positive.\nAnswer: y**(-1276\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2917667.\nAnswer: 2917667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + -14 + 24 - (2 + -13).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.6 and -1.583367?\nAnswer: 2.183367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 409 + -254. Calculate the highest common factor of u and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y + 22. Let z be f(-4). Let x be 1 - 1\/(z\/(-58) + 0). Let w be (-7)\/(-5) - 2\/x*6. Solve a + 5*b = -0 + w, -a = -3*b + 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6137827 (base 9) to base 5.\nAnswer: 1314220104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0*(7\/(-2) + 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210673692 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - 92 + 87 + 2*t)*(-t**2 - 2*t**3 + t**2).\nAnswer: 4*t**4 + 10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5722895 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17359777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.0305, 1, -5?\nAnswer: -0.0305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2690 + -3266. Do u and -578 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iillll. What is prob of sequence li?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*v - 29*v = -90 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxc when three letters picked without replacement from pxcppppxpppcpp.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 divided by -2?\nAnswer: 135\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -236766 (base 12) in base 3?\nAnswer: -1002000201020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**8\/560 - b**7\/140 + b**6\/120 + b**3\/3 + 3. Let n(x) be the third derivative of k(x). Factor n(z).\nAnswer: 3*z**2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7, -25, -43?\n\"Answer: -18*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 423, 36, 1, -1 in descending order.\nAnswer: 423, 36, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 945840?\nAnswer: 8512560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmc when three letters picked without replacement from ccmccccccmcccmcccmm.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00459 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-121)\/(-20) - 41\/820. Let s(i) be the first derivative of -2\/5*i**5 + 4\/9*i**d + 0*i - 5\/6*i**4 + 2\/3*i**3 + 33 + 1\/3*i**2. Solve s(q) = 0 for q.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 9:58 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 2*f**2 - 3*f + 3. Give w(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2938 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 6. Let x be s(6). Suppose x*c - h + 16 = -c, -5*c + 2*h - 68 = 0. List the prime factors of 120\/9*c\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -193 - 21*g + 21*g - 82*g**4 + 178*g**4 wrt g?\nAnswer: 384*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*y = -3852 + 3782 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + 6 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 5166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6) + (-323)\/(-3). Suppose 7*i = 3*i - b. Let x be (-337499994)\/i - 4\/(-18). Round x to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24967?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2498 and 38303083.\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nngljgjnnj. Give prob of sequence gj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24081.\nAnswer: 3, 23, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2772 - 1513. Let h = q - 561. Let j = -495 + h. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.08858682?\nAnswer: 0.26576046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12100*y - 87024 = 10324*y for y.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**10*g**(-3))**(-14)*(((g**2*g*g)\/g)\/g)**(13\/5)\/(g**(-2)*g*g*g**(3\/2)*g*g) assuming g is positive.\nAnswer: g**(-963\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 295, 2, 1, -36, -2 in ascending order.\nAnswer: -36, -3, -2, 1, 2, 295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76 - 145. Let c = g + 68. What is the units digit of ((0 - -27) + c)*(-41 - -43)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 58*y - 82 + 82 + (-2 + 2 + y)*(0 + 0 - 1) - 3*y + 6*y - y - 3*y + 5*y - y.\nAnswer: 60*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 9. Suppose x = -3*d - 2*d + 10. Sort -2, d, -3.\nAnswer: -3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1852, 1840, 1806, 1738, 1624, 1452, 1210, 886?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oro when three letters picked without replacement from qpjrqxxooxqqqooq?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88\/(-3)*(-306)\/8 + 6 and 188?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = 76*l + 219 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-134 - -55) + (232 - 151).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1880 and 539795?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.15 * -36739.\nAnswer: -5510.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -153, -716, -1653, -2964, -4649, -6708?\n\"Answer: -187*u**2 - 2*u + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, -1\/16, 0.3, -2, -10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(128))**2 + (sqrt(17)*3 + sqrt(17))*-1 - (((sqrt(68) + sqrt(68)*-2)*-3)\/(sqrt(44)\/(sqrt(11) + sqrt(11) + (sqrt(11) - sqrt(176)))))**2.\nAnswer: -9775\/64 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35298128?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 150\/135*(-3)\/(-5)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24.176377 or 0.16?\nAnswer: -24.176377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l. Let q(o) = -103*o. Give q(c(a)).\nAnswer: 412*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -69407*u**3*v + 2*u**3 - 1576*u**2 wrt v?\nAnswer: -69407*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*(-30)\/(-130)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*q**2 + 114*q**2 - 48*q**2)*(3*q - q + 0*q)*(0*q + 2*q - q) to the form v*q**2 + w*q + g + z*q**4 + o*q**3 and give z.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-10) - (-3869)\/(-365)) + -2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9884205474.6 take away 1.5?\nAnswer: 9884205473.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -1039*g + 4160. Determine n(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in -0.3, 50, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(51\/(-1428)*-28). Factor -2\/5*x**4 + 3456\/5*x - 864\/5*x**2 + 72\/5*x**3 + b.\nAnswer: -2*x*(x - 12)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-32)\/(-8)*37. Let u = 149 + a. Solve 3 = 5*n - f - 4, -3*n = f - u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3626*p = 4863*p - 1732*p - 112053 + 30969 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjndlcjldjljllbjjcl. Give prob of sequence nc.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 835 + 372 = -379 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdy. Give prob of sequence dv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 5961730.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)*2*4 + (-1*sqrt(143) + sqrt(143))*4)\/(sqrt(77)\/(sqrt(28)\/(3*sqrt(4)))).\nAnswer: 8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 9:25 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 + 2*h + 3. Suppose 0 = 9*f + 7 - 43. What is r(f)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 60372249 and -5.89.\nAnswer: 60372243.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 24, 0.2, 54, -0.1, -4, -1679?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92 + 142. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6482957 to the nearest integer?\nAnswer: 2546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2*(sqrt(272) + -2)*3)**2)*3.\nAnswer: -1728*sqrt(17) + 29823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*w + 2650 + 5360 = 118*w for w.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3656.\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + -5*(-3*sqrt(68) + sqrt(68)) + sqrt(68))\/(-2*sqrt(4)*2))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7908, 6131, 4354, 2577, 800?\nAnswer: -977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + 39 + -6 + -48 + 0 + 3 + 4?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4887?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*w = -0*f + 63, -3*f = 2*w - 58. Let k be 4\/((f\/(-6))\/4). Let h = k + 10. Solve 0 = h*d - 2 - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15026946 and 1122.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 + 4)*(2*k**2 + 0*k**2 - 4*k**2) - 2*k**2 - 2*k**2 + 2*k**2 + 0*k**2 - k**2 - 4*k**2 + (0*k**2 + 5*k**2 + 2*k**2)*(3 + 4 - 1).\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**3 + 22 - 38 + s + 4*s**4 + 16 + 2*s**2 as u*s**3 + t*s**2 + h + n*s + r*s**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8434473?\nAnswer: 3, 53, 53047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.05 + -5.95. Let m = 940 - 939. Is m greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 2*f + 4, -2*b = 5*f + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 38*i**3 + 9*i**2 + 7*i - 18. Let r be n(-5). Let p = -2429 - r. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - l**3 - 221*l + 221*l as f*l**3 + u + j*l**2 + x*l and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2\/(j*j\/(j**9\/j*j*j)))**(2\/3)\/(((j\/((j**(2\/7)*j*j)\/j))\/(j*j\/(j\/j**6)))\/(j\/((j**(-5)*j)\/j)*j**(-4\/3)*j)) assuming j is positive.\nAnswer: j**(412\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -42\/23, 0.5, -1\/3, 5.93, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5\/3*z**2 - 35\/3 + 10*z = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 25 = -7. Suppose -2*g + 0*i + 4*i + r = 0, 15 = 3*g - 3*i. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 2:28 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61 and 46421?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 260759322*m**3 - 72642377*m**2?\nAnswer: 1564555932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*x + 45 = -118*x + 2*h, 117 = 3*x + 23*h - 461 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-492)\/205)\/(-7*405\/(-350))\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (2 + -1*sqrt(3)))**2 + (sqrt(150)\/sqrt(5))\/sqrt(10).\nAnswer: -7*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(4\/5)\/y**10 assuming y is positive.\nAnswer: y**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 507 a factor of 1131590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 127 = -5*o + 4*o, 0 = 3*q - 4*o - 79. What is the highest common factor of q and 517?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j**2 + 11*j**2 + 284*j**3 - j + 11 - 25*j**2.\nAnswer: 284*j**3 - j + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1438.897 millilitres to litres.\nAnswer: 1.438897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 9. Suppose 0 = -p + 4*p - 18. Suppose 16 = -p*n + 2*n. Let z(v) = 1. Let g(q) = n*z(q) - j(q). Calculate g(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0. Suppose -4*h - 1 + 17 = x. Suppose 3 + 9 = h*r. Solve r*d - 3*c - c + 1 = 0, 0 = -d + 4*c - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i - 5*i + 5*i**3 - 9*i wrt i?\nAnswer: 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -42*g. Let b(c) = -28029*c. Give f(b(i)).\nAnswer: 1177218*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u = -79 - 317. Let s(v) = 13*v. Let p be s(-2). Let h = -8 - p. Calculate the highest common divisor of h and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1656202, 3312403, 4968604?\nAnswer: 6624805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuyhuuhhhuuhy. What is prob of picking 2 y and 2 h?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4 + 264*u**3 + 1020*u**2 + 1008*u.\nAnswer: 3*u*(u + 2)**2*(u + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -0.3433163.\nAnswer: -0.10299489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 86 + 1355670?\nAnswer: 1355766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**5\/150 + b**4\/20 + 2*b**3\/15 + 2*b**2. What is w in u(w) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -15*a + 500. Does 20 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -53400, 550, -0.12?\nAnswer: -53400","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 7*g**2 + 2. Let y be p(-7). Suppose u - y = -0*u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2290245, 2290248, 2290245, 2290230, 2290197, 2290140, 2290053, 2289930?\n\"Answer: -n**3 + 3*n**2 + n + 2290242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/170 in -1, 6\/239, 0, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1553*i + 9162*i = 106526 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 5*k + 3 + 6*k)*(47*k**2 - 10*k**3 - 47*k**2).\nAnswer: -150*k**4 - 30*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-2))\/(2\/25). Let v be -3 + 1 + 3\/(-3). Let t = v - s. Calculate the lowest common multiple of 6 and t.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) 2\/647 (b) -5 (c) -2 (d) 0.0948\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 364 = 95. Suppose 2 = 4*y + 5*h, -95*y - 2*h = -93*y - 8. What is the greatest common factor of y and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42902 is divided by 227.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40097 and 1191.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4 - 8. Suppose 0 = -r*v + 8*v - 5. What is the third smallest value in v, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - r - r = 2760, 2*r + 1378 = 2*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 + -143421?\nAnswer: -143344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376771.\nAnswer: 17, 37, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 k when two letters picked without replacement from {g: 2, q: 1, e: 1, v: 1, a: 1, k: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8749, 8744, 8727, 8692, 8633?\n\"Answer: -s**3 + 2*s + 8748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.52 + 7.\nAnswer: -7.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.102 - 0.398. Which is the closest to -1\/3? (a) -11 (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 3*s - 3. Let r(z) = z - 1. Let n(d) = 3*r(d) - v(d). Let l(f) = -108 + 9*f + 0*f - 4*f + f - 5*f. Calculate n(l(o)).\nAnswer: -o**2 + 216*o - 11664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -997 and 2445.55?\nAnswer: -2438213.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 + 0*g**3 + 2*g**3 + (-1 + 4 - 5)*(g - g + g**3))*(-2*g + 3*g + g)*(11*g + 19*g - g).\nAnswer: -174*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.86 - -0.8. Let t = 0.26 + x. Let d be 0 + (-3)\/2 + 1. What is the closest to d in t, 0, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(153) - (sqrt(153)*1*-2 + sqrt(153)))*-5)\/((sqrt(90) - (sqrt(90)*1*-2 - sqrt(90)))\/((-2*sqrt(110))\/sqrt(11))).\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(32) + 0 + sqrt(2) + 0 - ((sqrt(50) + -1 - sqrt(2)) + sqrt(20)\/(sqrt(10)*2))**2) + -4)*-5.\nAnswer: 30*sqrt(2) + 455\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5127320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*c**3 + 23\/2*c**2 - 11*c + 0.\nAnswer: -c*(c - 22)*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(4\/(-1)))\/(3 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*m + 3633 = -3204. Which is smaller: m or 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i + 302 = 506. Calculate the remainder when 1205 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.25974 take away 34.123667?\nAnswer: -13.863927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - 6*j - j + 3*j + 57.\nAnswer: -j + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 893*k + 12 = 897*k - 4*z, 3*k - 4*z - 11 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 24*w**2 + 127*w. Let l(q) = 4*q. Calculate c(l(p)).\nAnswer: 384*p**2 + 508*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 35 = 5*a, -3*a - 425 + 440 = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4495583657 rounded to five dps?\nAnswer: -0.44956","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1615)\/1292)\/(1\/(-6)*20\/12*3)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 17831*t**2 - 52*t - 16. Let m(f) = -249634*f**2 + 715*f + 220. Determine 4*m(r) + 55*v(r).\nAnswer: -17831*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -601 + 600. Is q equal to 14.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1920, 3186, 4452, 5718, 6984?\n\"Answer: 1266*v + 654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 9:17 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 13*d - 8. Let p(h) = 3*h - 2. Let c = 39 + -67. Let j = 26 + c. Calculate j*x(a) + 9*p(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 40, 106, 230, 430, 724, 1130, 1666?\nAnswer: 2350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 + 41878*a**3 + 209368*a**2 + 125610*a - 376857.\nAnswer: (a - 1)*(a + 3)**2*(a + 41873)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50235?\nAnswer: 3, 5, 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55114?\nAnswer: 2, 17, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o - 2*o + 0*o. Let n(s) = -50*s + 5. Let p(q) = 298*q - 31. Let b(c) = 19*n(c) + 3*p(c). Give f(b(d)).\nAnswer: -112*d + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13458024868 + 8312.\nAnswer: -13458016556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24268870223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/6 and ((-1)\/(-2))\/((-15)\/219).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t - 16*t - t - 9*t in the form k + i*t and give i.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/13 or -5817?\nAnswer: -5817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -2\/3 (b) 3 (c) -0.1 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/5, 0.1, -1\/40.\nAnswer: -2\/5, -1\/40, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 29*l - 3. Let b(q) = q + 1. Let c be b(3). Is h(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -13\/8, 3\/6497, -1\/5, -2?\nAnswer: 3\/6497","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 8837?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eaeehmanheeeahan. Give prob of picking 3 h and 1 a.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 194339487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f. Let g(o) = 699671*o**2. Calculate k(g(h)).\nAnswer: -1399342*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*u - 1351 = -2287 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122 + 38*q**3 + 86 + 2*q**2 - 26*q**3.\nAnswer: 12*q**3 + 2*q**2 - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/61? (a) 0 (b) -2 (c) 1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7649764 is divided by 4344.\nAnswer: 4324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 5 = -r, 7 = -4*a + 3*r. Let p(f) = -8*f + 45. Let x be p(5). Let o = -4.5 + 0.5. What is the closest to 0.06 in x, a, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -521020.\nAnswer: 1\/521020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2. Let z(h) = 4*h - 2*h - h + 4*h. Calculate m(z(p)).\nAnswer: 50*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - (-1 - -11) - 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgxk when four letters picked without replacement from ggkxgggkgxgxxkkxgxgg?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 1\/5 (b) -7 (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 858c3c + 5?\nAnswer: 858c44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*((-d + 2*d + 0*d)*(0 + 0 + 1) + (-4*d + 3 - 3)*(-2 - 1 + 1)).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 1. Let c(l) = -6*l - 10. Suppose 0 = -54*w + 50*w - 4. Calculate w*c(q) - 10*u(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**3\/8 + 393*y**2\/8 - 395*y\/4 = 0.\nAnswer: -395, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.14 (b) 0 (c) -919\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3522788*b**2 - 400043*b + 4?\nAnswer: -7045576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6913 is divided by 456?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1010*a - 506*a - 518*a = -196 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1380*l + 1187*l + 61 + 3866*l + 38.\nAnswer: 3673*l + 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -129*o + 67*o**2 + 3 + 31*o - 16*o**3 + 39*o**3 + 5.\nAnswer: (o - 1)*(o + 4)*(23*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 153 or -4427394?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2093 + 8375\/4. Sort 0.1, -1\/5, h, 3\/8, 2\/211 in increasing order.\nAnswer: -1\/5, 2\/211, 0.1, 3\/8, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33176, 35257, 37338, 39419, 41500, 43581?\nAnswer: 45662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 0 + (1383 - 1340)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.8 - -2.5. Let t(w) = -w + 10. Let k be t(6). Sort k, -4\/7, l in decreasing order.\nAnswer: k, l, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -3\/5, -5, -2\/15863?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-6)\/m*m**(-7))\/((m**(-2)\/m)\/(m\/(m*m**(-4))))*((m**1*m)\/(m*m*m**(-4)))**(-3\/4) assuming m is positive.\nAnswer: m**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505 = -305*u - 1725 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195308 is divided by 48677.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1876 is divided by 459?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1504, -1535, -1574, -1627, -1700, -1799, -1930, -2099?\nAnswer: -2312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 6\/4) + (-172)\/208*2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 1, -5, -202, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vlk when three letters picked without replacement from uavauuuuauuklluuok.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 723, 1177, 1941, 3021, 4423, 6153, 8217?\n\"Answer: p**3 + 149*p**2 + 573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -164*g**3*j**3*k - 15*g**3*j**2*k + 4*g**3*k + 1964*g*j**3*k + 491*g*j*k wrt j.\nAnswer: -984*g**3*k + 11784*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14837 + -3 + 18 + -9)*-5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -33*r**3 + 2*r + 1. Let g be j(-1). Suppose p + 2*v = -15, v = 2*p + 6*v + g. Let k = 20 + p. What is the remainder when 17 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128332.\nAnswer: 2, 32083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10949*-8499.\nAnswer: -93055551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 10) to base 13.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by 625.\nAnswer: -27\/625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 37?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-4))\/((-2)\/(-8)). What is the second biggest value in n, 1\/10, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 12 + 13)*(-2*q + 0*q + 3*q)*(1 + 1 + 0)*(3 - 5 + 1) to the form h*q + m and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 17*g + 14*g - 3550 = 0, 4*g + 3552 = 4*x. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 448 + -453. Let k = 0 - -3. What is the second biggest value in 5, p, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 146 - 146. Suppose 9*f - 6*f + 6957002 = 2*u, 4*f - 5*u + 9276005 = j. Round f to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.9 - -0.4. Let g = l - -4. Let m = 4 + g. What is m rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*d = 115*d. Solve d = -0*f - 6*f + 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*t + 84 = -103*t. Suppose t*x - 11495 = x. What are the prime factors of x?\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411309297.\nAnswer: 3, 7, 6528719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 - 3 + 632*k**2.\nAnswer: 632*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2\/(-3) - 15\/((-90)\/364)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 11 - (2 - (1 - -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 31*(-4 + 1)\/3. Let y = l + 29. Let r(n) = -9*n**3 - 4*n**2 - 6*n - 6. What is the units digit of r(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 12 = -0*z. What is the second derivative of -c + c - 6*c**z + c + 5*c wrt c?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1059739 to the nearest 10000.\nAnswer: 1060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53.248 + 0.232. Let n = c + -52. Let s = n - 0.48. Sort 3, s, 5 in descending order.\nAnswer: 5, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of 0*r**3 + 0*r**4 - 1\/600*r**6 + 0*r**5 + 0*r + r**2 + 0. Solve h(g) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5110*o - 2424*o - 2374*o to n*o + h and give n.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1618339, -3 in descending order.\nAnswer: 1618339, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -257.5 - -258. Let w = 0.05 - 5.05. Let x = w + 4. Which is the third biggest value? (a) x (b) -4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 9. Suppose 0 = -2*j + j - 8. Let d be (-2)\/42 - j\/(-28). What is the nearest to d in k, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -405 - -412. Solve 0 = -j*a + 47 - 82 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36092?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 10, 4*o + 547 + 407 = 2*z. Calculate the remainder when z is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*l + 7 - 56*l + 14*l - l**2 + 14*l + 14*l to the form t*l + k + q*l**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*r**2 + 2\/7*r**3 - 6\/7*r**5 + 0 + 0*r + 4\/7*r**4 = 0. Calculate r.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 14*f + 2. Let d be q(12). Suppose 0 = -4*t - 3*w + 78, -4*w + 0*w + d = t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4897713, 9795425, 14693137, 19590849, 24488561?\nAnswer: 29386273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 2 - (1 - (6 + -1) - -9)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1\/7, 36, 4, -22, -3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(175) + sqrt(175)*1)*3)\/(sqrt(405)*-1))\/(-3*sqrt(500)*5*5).\nAnswer: sqrt(7)\/1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 55*p. Let v(d) = 71*d**2. Give y(v(k)).\nAnswer: 3905*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 3444?\nAnswer: 343d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*r + 3*r - 13, 3*i + 4*r = 7. Let g be (9\/(-42))\/((-3)\/4). What is the nearest to -5 in i, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153375*i - 153671*i + 275 = -317 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**3 - 15*o**3 + 19*o**3 - 5 + 5.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -28. Suppose s - 23 = -j + 2*s, -2*j + 48 = -4*s. Calculate the remainder when j is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -637 and -1026?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 3*z**2\/2 - 10*z + 8. Let x(s) = -8*s - 1. Let k be x(-1). What is the units digit of h(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -458596*d**4*y + 2*d**4 + 25937*y + 4 wrt d?\nAnswer: -1834384*d**3*y + 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 10 = 4*b, 3*s + 18 - 44 = 5*b. Is 16 a factor of (863 - 2) + s\/((-10)\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15.087 - -13.087. Let m be 1*2 - (4 - -2). Let d = m - -1. Which is the nearest to 0.2? (a) -17 (b) d (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68b2 (base 13) to base 6.\nAnswer: -151543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-30)\/4))\/(16\/(-48)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 65160 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448) + sqrt(448) + 3 + -3.\nAnswer: 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1478 (b) -3 (c) -1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -260592 divided by -1068\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/1450149 and -49\/4805?\nAnswer: 7250745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**5 - 11 + 20*k**5 + 16*k - 3 - 12*k wrt k?\nAnswer: 440*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 12*v**2 - 14*v + 11. Calculate the remainder when 114 is divided by o(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 3*v**2\/2 + 5*v + 1. Let w be n(-4). Let l be w\/(-12) - (-1)\/(-4). Which is the nearest to 1? (a) -4 (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1638 or 4\/21143?\nAnswer: -1638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022 (base 4) in base 13?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -18967, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 2*l - 3*l)*(-3 - 74 - 8)*(2*l - 4 + 6*l - 10*l)*(3 - 1 + 0).\nAnswer: -340*l**2 - 680*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 2, -5, -17, 3 in ascending order.\nAnswer: -17, -5, 2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 236183823 and 1559?\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 14, 23, 36?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 551*l**3*n - 3*l**2*n + 2*l**2 - 84*n wrt l?\nAnswer: 3306*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 - 148394*n + 148394*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -15*w**5\/7 - 285*w**4\/28 - 114*w**3\/7 - 78*w**2\/7 - 24*w\/7 + 14. Solve f(c) = 0.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*f = 40860 - 40216 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10813 (base 9) to base 10\nAnswer: -7221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**4\/(w**(-2)\/w)*(w*w**(-2\/11))\/w**(-2\/5) assuming w is positive.\nAnswer: w**(452\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}